DJCheng/embedding_data

1{"query": "Problem: in a kilometer race, a beats b by 48 meters or 12 seconds. what time does a take to complete the race ?\nOptions: a. 238 sec, b. 190 sec, c. 667 sec, d. 167 sec, e. 176 sec", "pos": "Problem: in a 80 meters race a beats b by 56 m or 7 seconds. a ' s time over the course is :\nOptions: a. 3 seconds, b. 12 seconds, c. 10 seconds, d. 18 seconds, e. 28 seconds", "neg": "Problem: in a kilometer race, a beats b by 52 meters or 18 seconds. what time does a take to complete the race ?\nOptions: a. 277 sec, b. 190 sec, c. 328 sec, d. 367 sec, e. 376 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}2{"query": "Problem: in a school of 650 boys, 44 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities ?\nOptions: a. 173, b. 163, c. 153, d. 143, e. 117", "pos": "Problem: a certain high school has 500 students. of these students, 30 are taking music, 10 are taking art, and 10 are taking both music and art. how many students are taking neither music nor art ?\nOptions: a. 430, b. 440, c. 450, d. 460, e. 470", "neg": "Problem: in a school of 850 boys, 46 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities ?\nOptions: a. a. 136, b. b. 627, c. c. 153, d. d. 721, e. e. 159", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}3{"query": "Problem: a can do a piece of work in 4 hours; b and c together can do it in 3 hours, while a and c together can do it 2 hours. how long will b alone take to do it ?\nOptions: a. 8 hours, b. 10 hours, c. 12 hours, d. 24 hours, e. none of these", "pos": "Problem: if a, b and c together can finish a piece of work in 4 days. a alone in 12 days and b in 18 days, then c alone can do it in ?\nOptions: a. 7 days, b. 3 days, c. 9 days, d. 8 days, e. 2 days", "neg": "Problem: a can do a piece of work in 5 hours; b and c together can do it in 3 hours, while a and c together can do it in 2 hours. how long will b alone take to do it ?\nOptions: a. 30, b. 20, c. 10, d. 6, e. 5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}4{"query": "Problem: in a group of 160 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person ' s age is less than 20 ?\nOptions: a. 0.44, b. 0.55, c. 0.65, d. 0.75, e. 0.85", "pos": "Problem: in a group of 100 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person ' s age is less than 20 ?\nOptions: a. 0.1, b. 0.55, c. 0.65, d. 0.75, e. 0.85", "neg": "Problem: in a village of 2,500 people, 800 people are over 70 years old and 850 people are female. it is known that 40 percent of the females are younger than 70 years old. if no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old ?\nOptions: a. 221 / 250, b. 199 / 250, c. 33 / 50, d. 8 / 25, e. 51 / 250", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}5{"query": "Problem: an art gallery has only paintings and sculptures. currently, 1 / 3 of the pieces of art are displayed, and 1 / 6 of the pieces on display are sculptures. if 1 / 3 of the pieces not on display are paintings, and 800 sculptures are not on display, how many pieces of art does the gallery have ?\nOptions: a. 360, b. 1800, c. 540, d. 640, e. 720", "pos": "Problem: in a photography exhibition, some photographs were taken by octavia the photographer, and some photographs were framed by jack the framer. jack had framed 24 photographs taken by octavia, and 12 photographs taken by other photographers. if 36 of the photographs in the exhibition were taken by octavia, how many photographs were either framed by jack or taken by octavia ?\nOptions: a. 36, b. 48, c. 72, d. 96, e. 108", "neg": "Problem: for a certain art exhibit, a museum sold admission tickets to a group of 50 people every 5 minutes from 9: 00 in the morning to 5: 55 in the afternoon, inclusive. the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 6. if on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day ?\nOptions: a. $ 24960, b. $ 25920, c. $ 28080, d. $ 38500, e. $ 48600", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}6{"query": "Problem: if x and y are integers and | x - y | = 10, what is the minimum possible value of xy ?\nOptions: a. - 9, b. - 18, c. - 24, d. - 25, e. - 48", "pos": "Problem: if x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value a of z - x ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "neg": "Problem: if 2 ^ x + 2 ^ y = 10 ^ 0 + 90 ^ 0, where x and y are non negative integers, what is the greatest possible value of | x â € “ y | ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}7{"query": "Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 25 hours and 16 hours respectively. the ratio of their speeds is ?\nOptions: a. 4: 6, b. 4: 3, c. 4: 9, d. 4: 5, e. 4: 2", "pos": "Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 32 hours and 16 hours respectively. the ratio of their speeds is\nOptions: a. 4: 9, b. 4: 3, c. 4: 12, d. 1: 2, e. 4: 5", "neg": "Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 25 hours and 81 hours respectively. the ratio of their speeds is :\nOptions: a. 2: 3, b. 4: 3, c. 9: 5, d. 9: 16, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}8{"query": "Problem: one copy machine can make 20 copies a minute, and a second copy machine makes 10 copies a minute. if the two copiers work together, how long would it take them to make 900 copies ?\nOptions: a. 10 minutes, b. 20 minutes, c. 25 minutes, d. 30 minutes, e. 35 minutes", "pos": "Problem: 20 one identical machines, running continuously at the same constant rate, take 9 days to complete a shipment. how many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by two days ?\nOptions: a. 2, b. 3, c. 4, d. 6, e. 9", "neg": "Problem: if it would take one machine 20 minutes to fill a large production order and another machine 30 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order ?\nOptions: a. 10 min, b. 12 min, c. 15 min, d. 20 min, e. 18 min", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}9{"query": "Problem: at what rate of compound interest per annum will a sum of rs. 1200 become rs. 1348.32 in 2 years ?\nOptions: a. 6 %, b. 6.5 %, c. 7 %, d. 7.5 %, e. 8 %", "pos": "Problem: the compound interest earned on a sum for the second and the third years are $ 1200 and $ 1260 respectively. what is the rate of interest ?\nOptions: a. 5 %, b. 8 %, c. 11 %, d. 14 %, e. 18 %", "neg": "Problem: at what rate of compound interest per annum will a sum of $ 1200 becomes 1348.32 in 2 years ?\nOptions: a. 5 %, b. 6 %, c. 7 %, d. 8 %, e. 10 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}10{"query": "Problem: in the first 10 overs of a cricket game, the run rate was only 6.2. what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 5.5, c. 6.75, d. 7, e. 8", "pos": "Problem: in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 22 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 11.36, c. 7.4, d. 5, e. 6", "neg": "Problem: in the first 10 overs of a cricket game, the run rate was only 4.2. what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 6.5, c. 6.75, d. 7, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}11{"query": "Problem: given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] + 2 = f ( 3 x – 6 )\nOptions: a. 0, b. 4, c. 5, d. 7, e. 13", "pos": "Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.3 for x = 0.6 ?\nOptions: a. − 0.3, b. 0, c. 0.3, d. 1.08, e. 2.46", "neg": "Problem: given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] + 8 = f ( 3 x – 6 )\nOptions: a. 0, b. 4, c. 6, d. 7, e. 13", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}12{"query": "Problem: during a car trip, maria stopped to rest after she traveled 1 / 2 of the total distance to her destination. she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination, and then she drove the remaining 135 miles to her detination. what was the total distance, in miles from maria ' s starting point to her destination ?\nOptions: a. 280, b. 320, c. 360, d. 420, e. 480", "pos": "Problem: john left home and drove at the rate of 45 mph for 2 hours. he stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. how many miles did john drive ?\nOptions: a. 235 miles., b. 245 miles., c. 225 miles., d. 265 miles., e. 275 miles.", "neg": "Problem: during a car trip, maria stopped to rest after she traveled 1 / 2 of the total distance to her destination. she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination, and then she drove the remaining 105 miles to her detination. what was the total distance, in miles from maria ' s starting point to her destination ?\nOptions: a. 280, b. 320, c. 360, d. 420, e. 480", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}13{"query": "Problem: 5, 11, 23, 41, 64, _\nOptions: a. 95, b. 96, c. 97, d. 98, e. 99", "pos": "Problem: 1.5, 2.5, 4.5, 7.5, 11.5, (.... )\nOptions: a. 16.5, b. 15.5, c. 14.5, d. 17.5, e. 17", "neg": "Problem: 1, 8, 27, 64,...\nOptions: a. 25, b. 48, c. 59, d. 63, e. 125", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}14{"query": "Problem: the smallest number which when diminished by 6, is divisible 12, 14, 16, 18 and 22 is :\nOptions: a. 11099, b. 11094, c. 11091, d. 10323, e. 10483", "pos": "Problem: the smallest number which when diminished by 2, is divisible by 12, 16, 18, 21 and 28 is\nOptions: a. 1008, b. 1010, c. 1022, d. 1032, e. 1043", "neg": "Problem: what is the lowest positive integer that is divisible by 4 through 6, inclusive ?\nOptions: a. 120, b. 48, c. 82, d. 76, e. 160", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}15{"query": "Problem: 3 pumps, working 8 hours a day, can empty a tank in 2 days. how many hours a day must 15 pumps work to empty the tank in 1 day ?\nOptions: a. 3.5, b. 4.8, c. 5.1, d. 5.2, e. 6.3", "pos": "Problem: a pump can fill a tank with a water in 2 hours. because of a leak, it took 3 and 1 / 3 hours to fill the tank. the leak can drain all the water of the full tank in how many hours ?\nOptions: a. 5 hrs, b. 7 hrs, c. 12 hrs, d. 14 hrs, e. 16 hrs", "neg": "Problem: a small water pump would take 3 hours to fill an empty tank. a larger pump would take 3 / 4 hour to fill the same tank. how many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time ?\nOptions: a. 3 / 4, b. 3 / 5, c. 5 / 7, d. 1 / 2, e. 4 / 5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}16{"query": "Problem: a and b go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. after how much time will they meet for the first time at the starting point ?\nOptions: a. 120, b. 775, c. 555, d. 288, e. 278", "pos": "Problem: brenda and sally run in opposite direction on a circular track, starting at diametrically opposite points. they first meet after brenda has run 50 meters. they next meet after sally has run 150 meters past their first meeting point. each girl runs at a constant speed. what is the length of the track in meters ?\nOptions: a. 250, b. 300, c. 350, d. 400, e. 500", "neg": "Problem: a and b go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph. after how much time will they meet for the first time at the starting point ?\nOptions: a. 120 sec, b. 198 sec, c. 178 sec, d. 20 sec, e. 276 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}17{"query": "Problem: if x and y are integers and 2 x – y = 11, then 4 x + y can not be\nOptions: a. – 5, b. 1, c. 13, d. 17, e. 55", "pos": "Problem: if x and j are integers and 2 x – j = 11, then 4 x + j can not be\nOptions: a. – 5, b. 1, c. 13, d. 17, e. 551", "neg": "Problem: if x < y < z and y - x > 11, where x is an even integer and y and z are odd integers, what is the least possible value of z - x ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 15", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}18{"query": "Problem: the ratio of ducks and frogs in a pond is 37: 39 respectively. the average number of ducks and frogs in the pond is 132. what is the number of frogs in the pond ?\nOptions: a. 148, b. 134, c. 156, d. 144, e. none", "pos": "Problem: in goshawk - eurasian nature reserve 30 percent of the birds are hawks, and 40 percent of the non - hawks are paddyfield - warblers. if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve, then what percent of the birds in the nature reserve are not hawks, paddyfield - warblers, or kingfishers ?\nOptions: a. 25 %, b. 35 %, c. 45 %, d. 70 %, e. 80 %", "neg": "Problem: in a park there are two ponds with both brown ducks and green ducks. in the smaller pond there are 45 ducks and in the larger pond there are 55 ducks. if 20 % of the ducks in the smaller pond are green and 40 % of the ducks in the larger pond are green, then what percentage of ducks are green ?\nOptions: a. 25 %, b. 27 %, c. 29 %, d. 31 %, e. 33 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}19{"query": "Problem: calculate the circumference of a circular field whose radius is 7 centimeters.\nOptions: a. 11 π cm, b. 15 π cm, c. 1 π cm, d. 4 π cm, e. 14 π cm", "pos": "Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 19 cm and breadth 14 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )\nOptions: a. 22.78, b. 23.54, c. 23.5, d. 24.55, e. 25.93", "neg": "Problem: the area of a circular field is 17.56 hectares. find the cost of fencing it at the rate of rs. 7 per metre approximately\nOptions: a. 4457, b. 10400, c. 4235, d. 4547, e. 4675", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}20{"query": "Problem: a certain car can travel 32 kilometers on a liter of fuel. if the fuel tank ’ s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour ? ( 1 gallon = 3.8 liters; 1 mile = 1.6 kilometers )\nOptions: a. 52, b. 65, c. 78, d. 91, e. 104", "pos": "Problem: convert the 17 / 36 m / s into kilometers per hour ?\nOptions: a. 1.7, b. 1.5, c. 1.3, d. 1.1, e. 1.2", "neg": "Problem: a car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for the rest of the trip. if the average speed for the entire trip is 34 miles per hour, how many hours long is the trip ?\nOptions: a. 6.5, b. 7.5, c. 8.5, d. 9.5, e. 10.5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}21{"query": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did c get in a profit of rs. 2430 ?\nOptions: a. s. 432, b. s. 486, c. s. 822, d. s. 812, e. s. 810", "pos": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did c get in a profit of rs. 2490 ?\nOptions: a. s. 332, b. s. 498, c. s. 822, d. s. 812, e. s. 810", "neg": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did a get in a profit of rs. 2400 ?\nOptions: a. s. 800, b. s. 810, c. s. 820, d. s. 900, e. s. 920", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}22{"query": "Problem: the ratio of the number of females to males at a party was 1: 2 but when 7 females and 7 males left, the ratio became 1: 3. how many people were at the party originally ?\nOptions: a. 28, b. 32, c. 36, d. 42, e. 50", "pos": "Problem: exactly 3 / 7 of the people in the room are under the age of 21, and exactly 5 / 10 of the people in the room are over the age of 65. if the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21 ?\nOptions: a. 21, b. 35, c. 39, d. 30, e. 65", "neg": "Problem: at a monthly meeting, 3 / 5 of the attendees were males and 7 / 8 of the male attendees arrived on time. if 4 / 5 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time ?\nOptions: a. 47 / 200, b. 31 / 200, c. 17 / 100, d. 11 / 100, e. 7 / 50", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}23{"query": "Problem: the compound ratio of 5: 6, 3: 2 and 4: 5 is ?\nOptions: a. 3: 5, b. 2: 7, c. 1: 1, d. 1: 4, e. none", "pos": "Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ?\nOptions: a. 3: 7, b. 1: 3, c. 5: 49, d. 1: 7, e. 3: 49", "neg": "Problem: the compound ratio of 5: 1, 3: 1 and 2: 5 ?\nOptions: a. 6: 1, b. 1: 3, c. 1: 5, d. 1: 1, e. 1: 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}24{"query": "Problem: a woman complete a journey in 20 hours. she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. find the total journey in km.\nOptions: a. 334 km., b. 216 km., c. 314 km., d. 448 km., e. 544 km.", "pos": "Problem: calculate how much time could be saved if the train would run at its usual speed, given that it ran at 2 / 3 of its own speed and got to its destination in 20 hours ?\nOptions: a. 5.67 hrs, b. 9.67 hrs, c. 8.95 hrs, d. 8.67 hrs, e. 6.67 hrs", "neg": "Problem: a woman complete a journey in 5 hours. she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. find the total journey in km.\nOptions: a. 334 km., b. 216 km., c. 112 km., d. 224 km., e. 544 km.", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}25{"query": "Problem: find the compound interest on $ 1200 for 6 years at 20 % p. a. if ci is component yearly ?\nOptions: a. $ 120, b. $ 150, c. $ 2383, d. $ 250, e. $ 300", "pos": "Problem: the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs. 216. find the principal ?\nOptions: a. 2277, b. 2667, c. 5400, d. 2766, e. 1811", "neg": "Problem: the difference between simple interest and compound interest on rs. 1400 for one year at 20 % per annum reckoned half - yearly is :\nOptions: a. $ 185.63, b. $ 852.36, c. $ 875.5, d. $ 989.9, e. $ 875.8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}26{"query": "Problem: you need to unlock a secret code using following clues, can you ? here you have the clues: clue - 1: 0 7 9 ( one of the numbers is correct and is placed in its correct position ) clue - 2: 0 3 2 ( nothing is correct ) clue - 3: 1 0 8 ( two numbers are correct but not placed at its correct position. ) clue - 4: 9 2 6 ( one number is correct but not placed at its correct position. ) clue - 5: 6 7 8 ( one number is correct but not placed at its correct position. )\nOptions: a. 819, b. 918, c. 198, d. 189, e. 891", "pos": "Problem: if pintu is coded as 79523 in a certain code language, how would you code dumbo in the same language ?\nOptions: a. 43426, b. 14236, c. 13436, d. 14263, e. 15263", "neg": "Problem: a random 10 - letter code is to be formed using the letters a, b, c, d, e, f, g, h, i and i ( only the “ i ” will be used twice.. what is the probability that a code that has the two i ’ s adjacent to one another will be formed ?\nOptions: a. 1 / 10, b. 1 / 8, c. 1 / 5, d. 1 / 4, e. 1 / 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}27{"query": "Problem: two positive integers differ by 4, and sum of their reciprocals is 2. then one of the numbers is\nOptions: a. a. 3, b. 2, c. c. 5, d. d. 21, e. e. 28", "pos": "Problem: there are two positive numbers in the ratio 4: 8. if the larger number exceeds the smaller by 16, then find the smaller number ?\nOptions: a. 25, b. 20, c. 77, d. 88, e. 44", "neg": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 4 and the units digit of ( a + 1 ) ^ 2 is 1, what is the units digit of ( a + 2 ) ^ 2 ?\nOptions: a. 0, b. 2, c. 4, d. 6, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}28{"query": "Problem: set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2. if one of the numbers in set s is increased by 7, while all other numbers remain the same, what is the new average of set s ?\nOptions: a. 6.6, b. 6.7, c. 6.8, d. 6.85, e. 6.9", "pos": "Problem: the average of first six prime numbers greater than 20 is ?\nOptions: a. 10, b. 20, c. 30, d. 40, e. 34", "neg": "Problem: set s consists of integers { 7, 8, 10, 12, 13 }. if integer n is included in the set, the average ( arithmetic mean ) of set s will increase by 10 %. what is the value of integer n ?\nOptions: a. 10, b. 12, c. 16, d. 22, e. 24", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}29{"query": "Problem: if p ( a. = 1 / 5 and p ( b. = 2 / 5, find p ( a n b. if a and b are independent events.\nOptions: a. 7 / 25, b. 3 / 25, c. 8 / 25, d. 2 / 25, e. 3 / 17", "pos": "Problem: if p ( a. = 5 / 7 and p ( b. = 2 / 5, find p ( a n b. if a and b are independent events.\nOptions: a. 7 / 25, b. 3 / 25, c. 8 / 25, d. 2 / 7, e. 3 / 17", "neg": "Problem: given that x and y are events such that z ( x ) = 0.02 z ( y ) = 0.10 z ( xny ) = 0.10 z ( x | y ) = find z ( x | y ) and z ( x | y )\nOptions: a. 1 / 5, b. 1 / 6, c. 1 / 6, d. 1 / 4, e. 1 / 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}30{"query": "Problem: a train is 320 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length ?\nOptions: a. 11 seconds, b. 38 seconds, c. 40 seconds, d. 88 seconds, e. 36.8 seconds", "pos": "Problem: how many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph ?\nOptions: a. 54 sec, b. 65 sec, c. 25 sec, d. 45 sec, e. 27 sec", "neg": "Problem: a train is 360 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 160 meter length ?\nOptions: a. 11 seconds, b. 41.6 seconds, c. 40 seconds, d. 88 seconds, e. 19 seconds", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}31{"query": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4, what is the units x digit of ( a + 2 ) ^ 2 ?\nOptions: a. 1, b. 3, c. 5, d. 6, e. c. 14", "pos": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4, what is the units u digit of ( a + 2 ) ^ 2 ?\nOptions: a. 1, b. 3, c. 5, d. 6, e. c. 14", "neg": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 6, what is the units digit of ( a + 2 ) ^ 2 ?\nOptions: a. 1, b. 3, c. 5, d. 6, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}32{"query": "Problem: by the how much is two - fifth of 300 greater than 3 - fifths of 125 ?\nOptions: a. 15, b. 3, c. 5, d. 45, e. none of these", "pos": "Problem: 5005 - 5000 ÷ 10.00 = ?\nOptions: a. 0.5, b. 50, c. 5000, d. 4505, e. none", "neg": "Problem: if 5 a = 3125, then the value of 5 ( a - 3 ) is :\nOptions: a. 25, b. 125, c. 625, d. 1625, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}33{"query": "Problem: a collection of books went on sale, and 2 / 3 of them were sold for $ 3.50 each. if none of the 40 remaining books were sold, what was the total amount received for the books that were sold ?\nOptions: a. $ 180, b. $ 250, c. $ 260, d. $ 280, e. $ 300", "pos": "Problem: a bookseller sells his books at a 20 % markup in price. if he sells a book for $ 36.00, how much did he pay for it ?\nOptions: a. $ 34.40, b. $ 34.00, c. $ 32.00, d. $ 30.00, e. $ 35.00", "neg": "Problem: a collection of books went on sale, and 2 / 3 of them were sold for $ 2.25 each. if none of the 40 remaining books were sold, what was the total amount received for the books that were sold ?\nOptions: a. $ 160, b. $ 150, c. $ 280, d. $ 200, e. $ 180", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}34{"query": "Problem: excluding stoppages, the speed of a train is 60 kmph and including stoppages it is 40 kmph. of how many minutes does the train stop per hour ?\nOptions: a. 12, b. 14, c. 16, d. 18, e. 20", "pos": "Problem: excluding stoppages, the speed of the bus is 54 kmph and including stoppages, it is 36 kmph. for how many minutes does the bus stop per hr\nOptions: a. 12 min, b. 11 min, c. 13 min, d. 19 min, e. 20 min", "neg": "Problem: excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 30 kmph. of how many minutes does the train stop per hour ?\nOptions: a. a. 5, b. b. 10, c. c. 20, d. d. 30, e. e. 40", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}35{"query": "Problem: an error 10 % in excess is made while measuring the side of a square. now what is the percentage of error in the calculated area of the square ?\nOptions: a. 6.64 %, b. 16.64 %, c. 15.64 %, d. 21 %, e. 10.64 %", "pos": "Problem: if each side of a square is increased by 20 %, find the percentage change in its area ?\nOptions: a. 40 %, b. 42 %, c. 46 %, d. 44 %, e. 38 %", "neg": "Problem: an error 2 % in excess is made while measuring the sideofa square. the % of error in the calculated area of the square is ?\nOptions: a. 4 %, b. 4.04 %, c. 4.15 %, d. 5 %, e. 5.24 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}36{"query": "Problem: the perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. find its area ?\nOptions: a. 290, b. 240, c. 2870, d. 289, e. 292", "pos": "Problem: two diagonals of a rhombus are 72 cm and 30 cm respectively. what is its perimeter ?\nOptions: ['a. 136 cm', 'b. 156 cm', 'c. 144 cm', 'd. 121 cm', 'e. 126 cm']", "neg": "Problem: find the area of a parallelogram with base 26 cm and height 16 cm ?\nOptions: a. 297 cm 2, b. 384 cm 2, c. 672 cm 2, d. 416 cm 2, e. 286 cm 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}37{"query": "Problem: if b is the center of the circle in the figure above and the area of the shaded region is 16 π, what is the length of arc adc ?\nOptions: ['a. 4', 'b. 4 π', 'c. 16', 'd. 8 π', 'e. 16']", "pos": "Problem: what is the diagonal of a square field whose perimeter is 64 m ?\nOptions: a. 15 m, b. 16 √ 2 m, c. 20 m, d. 25 m, e. 18 m", "neg": "Problem: if the area of a circle is 16 pi square feet, find its circumference.\nOptions: a. 8 pi feet, b. 28 pi feet, c. 38 pi feet, d. 48 pi feet, e. 58 pi feet", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}38{"query": "Problem: in my, xiang sold 15 used cars. for these 15 used cars the range of selling prices was 15000 and the lowest selling price was 4500. in june, xiang sold 10 cars. for these 10 cars the range of selling was 16000 and the lowest selling price was 5000. what was the range of selling prices for the 25 used car sold by xiang in may and june ?\nOptions: a. 15,600, b. 15,750, c. 16,820, d. 18,100, e. 19,200", "pos": "Problem: car z travels 50 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?\nOptions: a. 320, b. 375.2, c. 400, d. 408.3, e. 440", "neg": "Problem: if a trader sold two cars each at rs. 325475 and gains 15 % on the first and loses 15 % on the second, then his profit or loss percent on the whole is ?\nOptions: a. 1.44 %, b. 1.74 %, c. 1.84 %, d. 1.97 %, e. 2.25 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}39{"query": "Problem: if 2 a = 3 b and ab ≠ 0, what is the ratio of a / 3 to b / 2 ?\nOptions: a. 27 / 8, b. 8 / 27, c. 1, d. 9 / 4, e. 81 / 64", "pos": "Problem: if 7 a = 8 b and ab ≠ 0, what is the ratio of a / 8 to b / 7 ?\nOptions: a. 16 / 14, b. 8 / 7, c. 1, d. 7 / 8, e. 64 / 49", "neg": "Problem: the triplicate ratio of 1: 3 is ?\nOptions: a. 1: 27, b. 1: 8, c. 1: 3, d. 1: 1, e. 1: 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}40{"query": "Problem: each digit 1 through 5 is used exactly once to create a 5 - digit integer. if the 3 and the 4 can not be adjacent digits in the integer, how many 5 - digit integers are possible ?\nOptions: a. 48, b. 66, c. 72, d. 78, e. 90", "pos": "Problem: how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 4, and the digit 2 can be used only once ?\nOptions: a. 20, b. 150, c. 225, d. 300, e. 320", "neg": "Problem: a 5 - digit number is formed by the digits 2, 45, 68 ( each digit used exactly once.. what is the probability that the number formed is divisible by 4 ?\nOptions: a. 2 / 5, b. 3 / 5, c. 4 / 5, d. 6 / 5, e. 7 / 5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}41{"query": "Problem: in a 200 m race, a beats b by 20 m and c by 38 m. in a race of 600 m b will beat c by\nOptions: a. 20 m, b. 30 m, c. 25 m, d. 15 m, e. 60 m", "pos": "Problem: in a 100 m race a beats b by 25 m b beats c by 4 then a beats c by\nOptions: a. 24 m, b. 25 m, c. 26 m, d. 27 m, e. 28 m", "neg": "Problem: in a race of 1000 m, a can beat by 100 m, in a race of 800 m, b can beat c by 100 m. by how many meters will a beat c in a race of 700 m ?\nOptions: a. 148.75 m, b. 127.5 m., c. 122.2 m, d. 222.9 m, e. 12289 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}42{"query": "Problem: in what time will a train 120 m long cross an electric pole, it its speed be 121 km / hr ?\nOptions: a. 2.5, b. 2.7, c. 2.9, d. 3.6, e. 2.1", "pos": "Problem: a train 200 m long can cross an electric pole in 5 sec and then find the speed of the train ?\nOptions: a. 114, b. 124, c. 134, d. 144, e. 154", "neg": "Problem: in what time will a train 100 metres long cross an electric pole, if its speed be 144 km / hr ?\nOptions: a. 2.5 sec, b. 4.25 sec, c. 5 sec, d. 12.5 sec, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}43{"query": "Problem: at a recent small town election for mayor a total of 963 votes were cast for the 4 candidates, the winner exceding his opponents by 53, 79 and 105 votes, respectively. how many votes were cast for each candidate ?\nOptions: a. 134, b. 178, c. 195, d. 166, e. 194", "pos": "Problem: 3 candidates in an election and received 3136, 7636 and 11628 votes respectively. what % of the total votes did the winning candidate got in that election ?\nOptions: a. 45 %, b. 49 %, c. 52 %, d. 59 %, e. 61 %", "neg": "Problem: 3 candidates in an election and received 6136, 7636 and 11628 votes respectively. what % of the total votes did the winning candidate got in that election ?\nOptions: a. 46 %, b. 49 %, c. 57 %, d. 59 %, e. 61 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}44{"query": "Problem: a customer went to a shop and paid a total of $ 30, out of which 90 cents was for sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items ?\nOptions: a. $ 12.70, b. $ 13.20, c. $ 14.10, d. $ 15.60, e. $ 16.80", "pos": "Problem: a shopkeeper sold 30 articles at the cost price of 35 articles. then find the profit % or lost %\nOptions: a. 12 %, b. 15 %, c. 16.67 %, d. 18 %, e. 22 %", "neg": "Problem: jerry went to a shop and bought things worth rs. 20, out of which 30 % went on sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items ?\nOptions: a. 14, b. 14.7, c. 21.3, d. 21.5, e. 21.7", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}45{"query": "Problem: in a certain pond, 50 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 5 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond ?\nOptions: a. 400, b. 500, c. 1,250, d. 2,500, e. 10,000", "pos": "Problem: in a forest 150 deer were caught, tagged with electronic markers, then released. a week later, 50 deer were captured in the same forest. of these 50 deer, it was found that 20 had been tagged with the electronic markers. if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest ?\nOptions: a. 150, b. 6,000, c. 1,250, d. 1,500, e. 2,500", "neg": "Problem: in a certain pond, 50 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 8 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond ?\nOptions: a. 400, b. 625, c. 1,250, d. 2,500, e. 312", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}46{"query": "Problem: tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability taht the ticket drawn has a number which is a multiple of 3 or 5 ?\nOptions: a. 1 / 2, b. 2 / 5, c. 8 / 15, d. 9 / 20, e. none", "pos": "Problem: the probability of two events a and b are 0.20 and 0.40 respectively. the probability that both a and b occur is 0.15. the probability that neither a nor b occur is _________\nOptions: a. 0.45, b. 0.4, c. 0.5, d. 0.55, e. 0.6", "neg": "Problem: in a lottery there are 20 prizes and 35 blanks. a lottery is drawn at random. what is the probability of getting a prize\nOptions: a. 2 / 13, b. 4 / 11, c. 5 / 11, d. 6 / 11, e. 3 / 13", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}47{"query": "Problem: together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many q hours would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine. ?\nOptions: a. 22 hours, b. 30 hours, c. 44 hours, d. 60 hours, e. it can not be determined from the information above.", "pos": "Problem: together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many w hours would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine. ?\nOptions: a. 22 hours, b. 30 hours, c. 44 hours, d. 60 hours, e. it can not be determined from the information above.", "neg": "Problem: working simultaneously and independently at an identical constant rate, 5 machines of a certain type can produce a total of x units of product p in 4 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 2 x units of product p in 2 days ?\nOptions: a. 11, b. 13, c. 15, d. 18, e. 20", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}48{"query": "Problem: rectangular floors x and y have equal area. if floor x is 10 feet by 18 feet and floor y is 9 feet wide, what is the length of floor y, in feet ?\nOptions: ['a. 13 1 / 2', 'b. 20', 'c. 18 3 / 4', 'd. 21', 'e. 24']", "pos": "Problem: the area of a rectangular plot is 18 times its breadth. if the difference between the length and the breadth is 10 metres, what is its breadth ?\nOptions: a. 10 metres, b. 8 metres, c. 7.5 metres, d. data inadequate, e. none of these", "neg": "Problem: the floor of a rectangular room is 18 m long and 12 m wide. the room is surrounded by a veranda of width 2 m on all its sides. the area of the veranda is :\nOptions: a. 124 m 2, b. 126 m 2, c. 136 m 2, d. 158 m 2, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}49{"query": "Problem: find the product of the localvalue and absolutevalue of 6 in 20618 ?\nOptions: a. 6300, b. 1100, c. 1200, d. 1300, e. 3600", "pos": "Problem: what number times ( 1 ⁄ 6 ) ^ 2 will give the value of 6 ^ 3 ?\nOptions: a. 6, b. 36, c. 216, d. 1296, e. 7776", "neg": "Problem: find the product of the local value and absolute value of 4 in 564823\nOptions: a. 1600, b. 8000, c. 16000, d. 12000, e. 18000", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}50{"query": "Problem: a distributor sells a product through an online store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 18 per item. what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?\nOptions: a. $ 25, b. $ 26, c. $ 27, d. $ 28, e. $ 29", "pos": "Problem: a merchant sells an item at a 20 % discount, but still makes a gross profit of 20 percent of the cost. what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?\nOptions: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 75 %", "neg": "Problem: a distributor sells a product through an on - line store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 15 per item. what is the price that the buyer observers on - line if the distributor wants to maintain a 25 % profit on the cost of the item ?\nOptions: a. 18, b. 21.6, c. 22, d. 22.5, e. 24", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}51{"query": "Problem: the average weight of a, b and c is 45 kg. if the average weight of a and b be 40 kg and that of b and c be 47 kg, then the weight of b is :\nOptions: a. 39 kg, b. 32 kg, c. 33 kg, d. 34 kg, e. none of these", "pos": "Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg. what might be the weight of the new person ?\nOptions: a. 95 kg, b. 90 kg, c. 85 kg, d. data inadequate, e. none of these", "neg": "Problem: the average waight of a, b, c is 45 kg. the avgwgt of a & b be 40 kg & that of b, c be 43 kg. find the wgt of b.\nOptions: a. 23 kg, b. 43 kg, c. 21 kg, d. 31 kg, e. 43 kg", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}52{"query": "Problem: 6 women can do 75 units of work in 8 days by working 5 hrs / day. in how many days can 4 women do 30 units of work by working 8 hrs / day ?\nOptions: a. 3 days, b. 4 days, c. 5 days, d. 6 days, e. 7 days", "pos": "Problem: if 3 men or 4 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work ?\nOptions: a. 8 / 3, b. 6, c. 5, d. 4, e. 3", "neg": "Problem: 18 women can complete a work in 7 days and 10 children take 14 days to complete the work. how many days will 5 women and 10 children take to complete the work ?\nOptions: a. 8 days, b. 6 days, c. 7 days, d. 9 days, e. 1 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}53{"query": "Problem: the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 18 minutes is :\nOptions: a. 9.5, b. 5.5, c. 7.5, d. 6.5, e. 5.1", "pos": "Problem: in one hour, a boat goes 19 km / hr along the stream and 9 km / hr against the stream. the speed of the boat in still water ( in km / hr ) is :\nOptions: a. 12 kmph, b. 13 kmph, c. 14 kmph, d. 15 kmph, e. 16 kmph", "neg": "Problem: the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr. the distance travelled downstream in 24 minutes is\nOptions: a. 17.2 km, b. 7.2 km, c. 7.6 km, d. 17.6 km, e. 27.2 km", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}54{"query": "Problem: michelle deposited a certain sum of money in a savings account on july 1 st, 2007. she earns an 14 % interest compounded semiannually. the sum of money in the account on december 31 st, 2009 is approximately what percent of the initial deposit ?\nOptions: a. 117 %, b. 120 %, c. 121 %, d. 138 %, e. 145 %", "pos": "Problem: $ 9,000 is deposited in a savings account that pays 14 % annual interest compounded semiannually. to the nearest dollar, how much is in the account at the end of the year ?\nOptions: a. $ 11304.12, b. $ 12304.54, c. $ 11604.14, d. $ 10304.10, e. $ 9304.41", "neg": "Problem: julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. after two years she earned $ 120 and $ 122 from the simple interest account and the compound interest account respectively. if the interest rates for both accounts were the same, what was the amount of julie ' s initial savings ?\nOptions: a. 600, b. 720, c. 1080, d. 2200, e. 3600", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}55{"query": "Problem: the average of the marks of 30 students in a class is 45. if the marks of each student are doubled, find the new average ?\nOptions: a. 85, b. 77, c. 33, d. 90, e. 75", "pos": "Problem: the average marks of a class of 35 students is 40 and that of another class of 45 students is 60. find the average marks of all the students ?\nOptions: a. 52.6, b. 52.4, c. 52.1, d. 51.2, e. 52.9", "neg": "Problem: the average of the marks of 25 students in a class is 70. if the marks of each student are doubled, find the new average ?\nOptions: a. 140, b. 100, c. 85, d. 160, e. 190", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}56{"query": "Problem: mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 25 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?\nOptions: a. 10 %, b. 12 %, c. 15 %, d. 17 %, e. 33 %", "pos": "Problem: in an election, candidate douglas won 58 percent of the total vote in counties x and y. he won 64 percent of the vote in county x. if the ratio of people who voted in county x to county y is 2: 1, what percent of the vote did candidate douglas win in county y ?\nOptions: a. 15 %, b. 18 %, c. 25 %, d. 36 %, e. 46 %", "neg": "Problem: mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 45 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?\nOptions: a. 9 %, b. 12 %, c. 15 %, d. 17 %, e. 20 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}57{"query": "Problem: a certain company expects quarterly earnings of $ 0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. if earnings are greater than expected, shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings. if quarterly earnings are $ 1.10 per share, what will be the dividend paid to a person who owns 100 shares of the company ' s stock ?\nOptions: a. $ 92, b. $ 96, c. $ 52, d. $ 120, e. $ 240", "pos": "Problem: a man invests some money partly in 15 % stock at 105 and partly in 8 % stock at 40. to obtain equal dividends from both, he must invest the money in the ratio :\nOptions: a. 3: 4, b. 3: 5, c. 7: 5, d. 16: 15, e. none", "neg": "Problem: a man invested rs. 14,400 in rs. 100 shares of a company at 25 % premium. if the company declares 5 % dividend at the end of the year, then how much does he get ?\nOptions: a. rs. 576, b. rs. 600, c. rs. 650, d. rs. 720, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}58{"query": "Problem: the price of precious stone is directly proportional to square of its weight. what will be the loss incurred if a stone weighing 28 gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15: 13 ?\nOptions: a. no loss, b. 10,000, c. 28,000, d. 9,500, e. 14,000", "pos": "Problem: indu gave bindu rs. 7500 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?\nOptions: a. 5, b. 2, c. 9, d. 5, e. 12", "neg": "Problem: when a stone is dropped from a building 200 m high, its speed is proportional to the time elapsed after dropping. the distance traveled is proportional to the square of the time elapsed. after 1 second the speed of the train was 10 m / sec and it was 190 m above the ground. when its speed is 25 m / sec, what would be its distance from the ground ?\nOptions: a. 140 m, b. 137.5 m, c. 125.75 m, d. 142.5 m, e. 152.5 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}59{"query": "Problem: roy is now 6 years older than julia and half of that amount older than kelly. if in 4 years, roy will be twice as old as julia, then in 4 years what would be roy ’ s age multiplied by kelly ’ s age ?\nOptions: a. 72, b. 84, c. 90, d. 96, e. 108", "pos": "Problem: before 6 years, dog a ’ s age was 4 times of dog b ’ s age and after 4 years, dog a ’ s age will be 3 times of dog b ’ s age. what is the difference of dog a ’ s age and dog b ’ s now ?\nOptions: a. 36, b. 42, c. 54, d. 60, e. 64", "neg": "Problem: 5 years ago, paula was 3 times as old as karl. in 6 years, paula will be twice as old as karl. what is the sum of their ages now ?\nOptions: a. 42, b. 46, c. 50, d. 54, e. 58", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}60{"query": "Problem: what is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad\nOptions: a. 814, b. 256, c. 3258, d. 896, e. 745", "pos": "Problem: what is the least number of squares tiles required to pave the floor of a room 15.17 m long and 9.02 m broad ?\nOptions: ['a. 814', 'b. 266', 'c. 287', 'd. 999', 'e. 661']", "neg": "Problem: a room 5 m 55 cm long and 3 m 74 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor ?\nOptions: a. 122, b. 123, c. 828, d. 122, e. 176", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}61{"query": "Problem: x starts a business with rs. 45000. y joins in the business after 4 months with rs. 30000. what will be the ratio in which they should share the profit at the end of the year ?\nOptions: a. 1: 2, b. 2: 1, c. 1: 3, d. 3: 1, e. 9: 4", "pos": "Problem: a and b invests rs. 1500 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?\nOptions: a. 9: 5, b. 9: 8, c. 9: 2, d. 9: 9, e. 9: 16", "neg": "Problem: x starts a business with rs. 45000. y joins in the business after 3 months with rs. 30000. what will be the ratio in which they should share the profit at the end of the year ?\nOptions: a. 1: 2, b. 2: 1, c. 1: 3, d. 3: 1, e. 1: 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}62{"query": "Problem: a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. if the sale price of each machine was $ 10,000 and the salesperson received a $ 38,000 commission, how many machines did she sell ?\nOptions: a. 90, b. 103, c. 105, d. 115, e. 120", "pos": "Problem: for each of her sales, a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale, plus 50 percent of the total amount in excess of $ 500. if the total amount of one of her sales was $ 800, the saleswoman ’ s commission was approximately what percent of the total amount of the sale ?\nOptions: a. 22 %, b. 24 %, c. 25 %, d. 27 %, e. 31 %", "neg": "Problem: for each of her sales, a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale, plus 35 percent of the total amount in excess of $ 500. if the total amount of one of her sales was $ 800, the saleswoman ’ s commission was approximately what percent of the total amount of the sale ?\nOptions: a. 22 %, b. 24 %, c. 25 %, d. 26 %, e. 28 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}63{"query": "Problem: a certain city with a population of 192,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ?\nOptions: a. a. 10,700, b. b. 16,000, c. c. 10,900, d. d. 11,000, e. e. 11,100", "pos": "Problem: what least number must be subtracted from 13294 so that the remainder is exactly divisible by 97 ?\nOptions: a. 3, b. 5, c. 7, d. 9, e. 10", "neg": "Problem: at a recent small town election for mayor a total of 963 votes were cast for the 4 candidates, the winner exceding his opponents by 53, 79 and 105 votes, respectively. how many votes were cast for each candidate ?\nOptions: a. 134, b. 178, c. 195, d. 166, e. 194", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}64{"query": "Problem: the mean of 50 observations was 36. it was found later an observation 48 was wrongly taken as 23. the corrected new means is :\nOptions: a. 35.2, b. 36.1, c. 36.5, d. 39.1, e. none of these", "pos": "Problem: the average temperature for tuesday, wednesday and thursday was 32 ° c. the average temperature for wednesday, thursday and friday was 34 ° c. if the temperature on friday be 44 ° c, what was the temperature on tuesday ?\nOptions: a. 39 ° c, b. 44 ° c, c. 38 ° c, d. 42 ° c, e. none of these", "neg": "Problem: the mean of 50 observations is 200. but later he found that there is decrements of 6 from each observations. what is the the updated mean is ?\nOptions: a. 165, b. 185, c. 190, d. 198, e. 194", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}65{"query": "Problem: there are 750 male and female participants in a meeting. half the female participants and one - quarterof the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female ?\nOptions: a. 75, b. 100, c. 125, d. 175, e. 225", "pos": "Problem: 18 business executives and 7 chairmen meet at a conference. if each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place ?\nOptions: a. 144, b. 131, c. 279, d. 90, e. 45", "neg": "Problem: there are 840 male and female participants in a meeting. half the female participants and one - quarterof the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female ?\nOptions: a. 75, b. 100, c. 125, d. 140, e. 225", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}66{"query": "Problem: in 2 triangle, the ratio of the areas is 4: 3 and that of their heights is 3: 4. find the ratio of their bases ?\nOptions: a. 10: 8, b. 11: 8, c. 16: 9, d. 17: 19, e. 17: 10", "pos": "Problem: if 2 a = 3 b and ab ≠ 0, what is the ratio of a / 3 to b / 2 ?\nOptions: a. 27 / 8, b. 8 / 27, c. 1, d. 9 / 4, e. 81 / 64", "neg": "Problem: triangle atriangle b are similar triangles with areas 2023 units square and 1792 units square respectively. the ratio of there corresponding height would be\nOptions: a. 9: 10, b. 17: 16, c. 23: 27, d. 13: 17, e. 15: 23", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}67{"query": "Problem: in what ratio must water be mixed with milk to gain 16 2 / 3 % on selling the mixture at cost price ?\nOptions: a. 1: 9, b. 1: 1, c. 1: 2, d. 1: 6, e. 1: 5", "pos": "Problem: in what ratio must tea at rs. 60 per kg be mixed with tea at rs. 70 per kg so that the mixture must be worth rs. 67.5 per kg ?\nOptions: a. 3: 1, b. 3: 2, c. 4: 3, d. 1: 3, e. none", "neg": "Problem: in what ratio must tea at rs. 62 per kg be mixed with tea at rs. 72 per kg so that the mixture must be worth rs. 64.50 per kg ?\nOptions: a. 3: 1, b. 2: 1, c. 5: 2, d. 3: 2, e. 3: 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}68{"query": "Problem: 9 friends decided to divide the hotel bill evenly. if the bill was $ 124.15 dollars, how much money did they pay if 1 cent is the smallest unit ?\nOptions: a. $ 124.11, b. $ 124.12, c. $ 124.13, d. $ 124.14, e. $ 124.15", "pos": "Problem: 3 friends had dinner at a restaurant. when the bill was received, akshitha paid 3 / 4 as much as veena paid and veena paid 1 / 2 as much as lasya paid. what fraction of the bill did veena pay ?\nOptions: a. 4 / 15, b. 3 / 12, c. 3 / 11, d. 3 / 10, e. 3 / 14", "neg": "Problem: total dinning bill of 9 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared.\nOptions: a. 21.84, b. 12.84, c. 16.98, d. 24.84, e. 15.84", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}69{"query": "Problem: on sunday, bill ran 4 more miles than he ran on saturday. julia did not run on saturday, but she ran twice the number of miles on sunday that bill ran on sunday. if bill and julia ran a total of 36 miles on saturday and sunday, how many miles did bill run on sunday ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 10", "pos": "Problem: 9. on level farmland, two runners leave at the same time from the intersection of two country roads. one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 8 miles per hour faster than the first runner ' s rate. how far apart, to the nearest mile, will they be after 1 / 2 hour ?\nOptions: a. 6, b. 7, c. 8, d. 12, e. 9", "neg": "Problem: cathy and jim begin running at the same time and they start at the same place on a straight path. cathy runs at 10 miles per hour, and jim runs at 6 miles per hour. after 18 minutes, cathy stops to stretch. if it takes cathy 27 minutes to stretch and jim continues to run during this time, how many minutes will it take cathy to catch up to jim ?\nOptions: a. 20.5, b. 21.5, c. 22.5, d. 23.5, e. 24.5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}70{"query": "Problem: in a room with 8 people, 5 people have exactly 1 friend in the room and 4 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship, i. e. if jane is paul ' s friend, paul is jane ' s friend.. if two individuals are selected from the room at random, what is the probability that those two individuals are not friends ?\nOptions: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 25 / 28", "pos": "Problem: in a room with 6 people, 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship, i. e. if jane is paul ' s friend, paul is jane ' s friend.. if two individuals are selected from the room at random, what is the probability that those two individuals are not friends ?\nOptions: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 16 / 15", "neg": "Problem: in a room filled with 7 people, 2 people have exactly 1 sibling in the room and 5 people have exactly 2 siblings in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings ?\nOptions: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 16 / 21", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}71{"query": "Problem: the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 2000 resolutions ?\nOptions: a. 1187 m, b. 1704 m, c. 2816 m, d. 2827 m, e. 2897 m", "pos": "Problem: if the wheel is 12 cm then the number of revolutions to cover a distance of 1056 cm is ?\nOptions: a. 18, b. 26, c. 14, d. 12, e. 91", "neg": "Problem: the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 600 resolutions ?\nOptions: a. 844.8 m, b. 704 m, c. 774 m, d. 714 m, e. 744 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}72{"query": "Problem: find the smallest number which should be multiplied with 560 to make it a perfect square.\nOptions: a. 60, b. 55, c. 45, d. 25, e. 35", "pos": "Problem: if d is the smallest positive integer such that 3,150 multiplied by d is the square of an integer, then d must be\nOptions: ['a. 2', 'b. 5', 'c. 6', 'd. 7', 'e. 14']", "neg": "Problem: find the smallest number which should be multiplied with 36963 to make it a perfect square.\nOptions: a. 4, b. 7, c. 4, d. 3, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}73{"query": "Problem: earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops. working together, how long will it take earl and ellen to stuff 300 envelopes\nOptions: a. 6 minutes, b. 5 minutes, c. 7 minutes, d. 3 minutes, e. 4 minutes", "pos": "Problem: a mail handler needs 3 hours to sort the mail. his assistant takes 6 hours to sort the mail. how many hours will it take for both of them working together to sort the mail ?\nOptions: a. 3, b. 2, c. 1, d. 2 1 / 2, e. 1 1 / 5", "neg": "Problem: earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops. working together, how long will it take earl and ellen to stuff 240 envelopes\nOptions: a. 6 minutes, b. 5 minutes, c. 7 minutes, d. 3 minutes, e. 4 minutes", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}74{"query": "Problem: the sum of first 45 natural numbers is ?\nOptions: a. 1030, b. 1034, c. 1035, d. 1037, e. 1040", "pos": "Problem: what is the sum of all the multiples of 10 between 0 and 99 ?\nOptions: a. 500, b. 620, c. 450, d. 340, e. 440", "neg": "Problem: the sum of first 45 natural numbers is\nOptions: a. 1035, b. 1280, c. 2070, d. 2140, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}75{"query": "Problem: vehicle x is 22 miles ahead of vehicle y, which is traveling the same direction along the same route as vehicle x. if vehicle x is traveling at an average speed of 36 miles per hour and vehicle y is traveling at an average speed of 45 miles per hour, how long will it take vehicle y to overtake and drive 23 miles ahead of vehicle x ?\nOptions: a. 5 hours, b. 7 hours 20 minutes, c. 4 hours, d. 3 hours 45 minutes, e. 2 hours 30 minutes", "pos": "Problem: car x began traveling at an average speed of 35 miles per hour. after 72 minutes, car y began traveling at an average speed of 49 miles per hour. when both cars had traveled the same distance, both cars stopped. how many miles did car x travel from the time car y began traveling until both cars stopped ?\nOptions: a. 105, b. 120, c. 140, d. 147, e. 168", "neg": "Problem: car a is 16 miles behind car b, which is traveling in the same direction along the same route as car a. car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour. how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?\nOptions: a. 1.5, b. 2.0, c. 2.5, d. 3.0, e. 3.5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}76{"query": "Problem: in the storage room of a certain bakery, the ratio of sugar to flour is 5 to 5, and the ratio of flour to baking soda is 10 to 1. if there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. how many pounds of sugar are stored in the room ?\nOptions: a. 600, b. 1200, c. 1500, d. 1600, e. 2400", "pos": "Problem: a girl scout was selling boxes of cookies. in a month, she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ). altogether, she sold 1,585 boxes for a combined value of $ 1, 588.25. how many boxes of plain cookies did she sell ?\nOptions: a. 0, b. 233, c. 500, d. 695, e. 786", "neg": "Problem: a club wants to mix 10 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound. how many pounds of the $ 5.00 per pound candy should be used ?\nOptions: a. 20, b. 30, c. 40, d. 50, e. 60", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}77{"query": "Problem: the average weight of 8 person ' s increases by 3 kg when a new person comes in place of one of them weighing 70 kg. what might be the weight of the new person ?\nOptions: a. 94 kg, b. 85 kg, c. 90 kg, d. 100 kg, e. 110 kg", "pos": "Problem: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg. what might be the weight of the new person ?\nOptions: a. 90 kg, b. 55 kg, c. 45 kg, d. 85 kg, e. 25 kg", "neg": "Problem: the average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person ?\nOptions: a. 75 kg, b. 65 kg, c. 55 kg, d. 85 kg, e. 105 kg", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}78{"query": "Problem: a worker is paid a regular rate of rs. 10 for completing a survey. the worker completes 50 surveys per week. for any survey involving the use of her cellphone, she is paid at a rate of that is 30 % higher than her regular rate. if she completed 35 surveys involving the use of her cellphone, how much did she get that week ?\nOptions: a. 605, b. 505, c. 105, d. 100, e. 200", "pos": "Problem: robert ' s salary was increased by 50 % and subsequently decreased by 10 %. how much percentage does he gain ?\nOptions: a. 15 %, b. 20 %, c. 10 %, d. 25 %, e. 30 %", "neg": "Problem: a worker is paid a regular rate of rs. 30 for completing a survey. the worker completes 100 surveys per week. for any survey involving the use of her cellphone, she is paid at a rate of that is 20 % higher than her regular rate. if she completed 50 surveys involving the use of her cellphone, how much did she get that week ?\nOptions: a. 2200, b. 1100, c. 2500, d. 2800, e. 3300", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}79{"query": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet. what is the cost of white washing the four walls of the room at rs. 10 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?\nOptions: a. s. 9060, b. s. 4520, c. s. 4527, d. s. 4530, e. s. 4521", "pos": "Problem: in a house a hall is 20 m long, 15 m wide and 5 m high. its interior has to be covered with mat. what will be the total expenditure if it costs rs. 10 per square m ?\nOptions: a. s. 9500, b. s. 50000, c. s. 57000, d. s. 60000, e. s. 62000", "neg": "Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet. what is the cost of white washing the four walls of the room at rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?\nOptions: a. 4000, b. 3624, c. 5673, d. 4530, e. 4566", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}80{"query": "Problem: a take twice as much time as b or thrice as much time to finish a piece of work. working together, they can finish the work in 7 days. b can do the work alone in ?\nOptions: a. 19, b. 12, c. 11, d. 42, e. 114", "pos": "Problem: a can do a half of certain work in 70 days and b one third of the same in 35 days. they together will do the whole work in ?\nOptions: a. 1 / 65, b. 1 / 62, c. 1 / 63, d. 1 / 60, e. 1 / 61", "neg": "Problem: a can do a job in 9 days and b can do it in 27 days. a and b working together will finish twice the amount of work in - - - - - - - days ?\nOptions: a. 22 days, b. 18 days, c. 22 6 / 2 days, d. 27 days, e. 9 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}81{"query": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis. if the x - and y - coordinates of a, b, and c are to be integers that are consistent with the inequalities - 3 ≤ x ≤ 2 and 4 ≤ y ≤ 9, then how many different triangles can be drawn that will meet these conditions ?\nOptions: a. 54, b. 432, c. 2,160, d. 2,916, e. 148,824", "pos": "Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis. if the x - and y - coordinates of a, b, and c are to be integers that are consistent with the inequalities - 8 ≤ x ≤ 2 and 4 ≤ y ≤ 9, then how many different triangles can be drawn that will meet these conditions ?\nOptions: a. 54, b. 4032, c. 2,160, d. 2,916, e. 148,824", "neg": "Problem: in triangle pqr, the angle q = 90 degree, pq = 4 cm, qr = 8 cm. x is a variable point on pq. the line through x parallel to qr, intersects pr at y and the line through y, parallel to pq, intersects qr at z. find the least possible length of xz\nOptions: a. 1.2 cm, b. 2.4 cm, c. 4.8 cm, d. 2.16 cm, e. 3.2 cm", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}82{"query": "Problem: the ratio between the length and the breadth of a rectangular park is 3: 2. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 7 minutes, then the area of the park ( in sq. m ) is\nOptions: a. 153200, b. 153400, c. 153600, d. 154000, e. 117600", "pos": "Problem: the ratio between the length and the breadth of a rectangular park is 3: 2. if a man cycling along theoundary of the park at the speed of 12 km / hr completes one round in 8 min, then thearea of the park ( in sq. m ) is ?\nOptions: a. 124545 m, b. 134561 m, c. 156787 m, d. 15450 m, e. 153600 m", "neg": "Problem: the ratio between the length and the breadth of a rectangular park is 2: 3 if a man cycling along the boundary of the park at the speed of 10 km / hr completes one round in 18 min, then the area of the park ( in sq. m ) is ?\nOptions: a. 3000 m, b. 9000 m, c. 540000 m, d. 10000 m, e. 54000 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}83{"query": "Problem: a man can swim in still water at 4.5 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is ?\nOptions: a. 1.0, b. 1.9, c. 1.6, d. 1.5, e. 1.1", "pos": "Problem: a man swims downstream 30 km and upstream 20 km taking 5 hours each time, what is the speed of the man in still water ?\nOptions: a. 7, b. 8, c. 2, d. 5, e. 4", "neg": "Problem: a man can swim in still water at 3 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is ?\nOptions: a. 1.7, b. 1.4, c. 1.1, d. 1.5, e. 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}84{"query": "Problem: 0.99998 + 0.11112 = ?\nOptions: a. 1, b. 1.0001, c. 1.0021, d. 1.1111, e. 1.111", "pos": "Problem: 265.124 x 11.98 ã · 8.001 + 32.28 = ?\nOptions: a. 983.578, b. 659.121, c. 781.189, d. 429.966, e. 456.512", "neg": "Problem: 0.1 + ( 0.1 ) ^ 2 + ( 0.1 ) ^ 3 =\nOptions: a. 0.1, b. 0.111, c. 0.1211, d. 0.2341, e. 0.3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}85{"query": "Problem: there are 2 red chips and 3 blue ones. when arranged in a row, they form a certain color pattern, for example rbrrb. how many color patterns ?\nOptions: a. a. 10, b. b. 12, c. c. 24, d. d. 60, e. e. 100", "pos": "Problem: 4 balls of different colors are to be placed in 3 different boxes such that any box contains at least 1 ball. what is the maximum number of different ways in which this can be done ?\nOptions: a. 60, b. 90, c. 120, d. 150, e. 180", "neg": "Problem: there are 6 boxes numbered 1, 2, …,. 6. each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. the total number of ways in which this can be done is\nOptions: a. 22, b. 21, c. 45, d. 27, e. 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}86{"query": "Problem: in a race of 1000 m, a can beat by 100 m, in a race of 800 m, b can beat c by 100 m. by how many meters will a beat c in a race of 700 m ?\nOptions: a. 148.75 m, b. 127.5 m., c. 122.2 m, d. 222.9 m, e. 12289 m", "pos": "Problem: a can give b 100 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race ?\nOptions: a. 111.12 m, b. 221.12 m, c. 271.12 m, d. 611.12 m, e. 191.12 m", "neg": "Problem: in a 200 m race, a beats b by 20 m and c by 38 m. in a race of 600 m b will beat c by\nOptions: a. 20 m, b. 30 m, c. 25 m, d. 15 m, e. 60 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}87{"query": "Problem: ifaequals the sum of the even integers from 2 to 120, inclusive, andbequals the sum of the odd integers from 1 to 119, inclusive, what is the value of a - b ?\nOptions: a. 60, b. 10, c. 19, d. 20, e. 21", "pos": "Problem: set a contains all the even numbers between 2 and 50 inclusive. set b contains all the even numbers between 62 and 110 inclusive. what is the difference between the sum of elements of set b and the sum of the elements of set a ?\nOptions: a. 1500, b. 3100, c. 4400, d. 6200, e. 7400", "neg": "Problem: if i equals the sum of the even integers from 2 to 200, inclusive, and k equals the sum of the even integers from 20 to 200, inclusive, what is the value of i - k ?\nOptions: a. 10, b. 99, c. 9, d. 88, e. 90", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}88{"query": "Problem: the cost of registration at a professional association meeting was $ 50 per person; a lunch for registrants only was available for an additional $ 22 per person. if the number of registrants who paid for lunch was 10 more than the number who did not, and if receipts for registration and lunch totaled $ 61720, how many people paid just for registration at the meeting ?\nOptions: a. 700, b. 800, c. 1,300, d. 500, e. 1,800", "pos": "Problem: at a certain conference, 78 % of the attendees registered at least two weeks in advance and paid their conference fee in full. if 10 % of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance ?\nOptions: a. 18.0 %, b. 62.0 %, c. 79.2 %, d. 86.67 %, e. 82.0 %", "neg": "Problem: there are 750 male and female participants in a meeting. half the female participants and one - quarterof the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female ?\nOptions: a. 75, b. 100, c. 125, d. 175, e. 225", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}89{"query": "Problem: at what price must an article costing rs. 47.50 be marked in order that after deducting 7 % from the list price. it may be sold at a profit of 25 % on the cost price ?\nOptions: a. 63.84, b. 62.6, c. 62.1, d. 62.7, e. 62.2", "pos": "Problem: by selling an article at rs. 500, a profit of 25 % is made. find its cost price ?\nOptions: a. 400, b. 267, c. 287, d. 480, e. 811", "neg": "Problem: at what price must an article costing rs. 47.50 be marked in order that after deducting 20 % from the list price. it may be sold at a profit of 25 % on the cost price ?\nOptions: a. 62.5, b. 62.3, c. 62.7, d. 74.2, e. 62.9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}90{"query": "Problem: in may mrs lee ' s earnings were 50 percent of the lee family ' s total income. in june mrs lee earned 20 percent more than in may. if the rest of the family ' s income was the same both months, then, in june, mrs lee ' s earnings were approximately what percent of the lee family ' s total income ?\nOptions: a. 55, b. 56, c. 34, d. 78, e. 23", "pos": "Problem: mary ' s income is 60 percent more than tim ' s income, and tim ' s income is 60 percent less than juan ' s income. what percent of juan ' s income is mary ' s income ?\nOptions: a. 64 %, b. 120 %, c. 96 %, d. 80 %, e. 64 %", "neg": "Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income. in march wilson earned 25 percent less than in february. if the rest of his family ’ s income was the same in both months, then, in march, wilson ’ s earnings were approximately what percent q of his family ’ s total income ?\nOptions: a. 15 %, b. 17 %, c. 24 %, d. 30 %, e. 33 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}91{"query": "Problem: what is 30 % of 80 ?\nOptions: a. 24, b. 66, c. 367, d. 28, e. 267", "pos": "Problem: 8: 18: : 24: ?\nOptions: a. 38, b. 32, c. 44, d. 43, e. 42", "neg": "Problem: what is 82 % of 3 / 5 ?\nOptions: a. 6.9, b. 0.492, c. 0.6845, d. 0.6859, e. 0.69", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}92{"query": "Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 69 books in the special collection at that time, how many books of the special collection were loaned out during that month ?\nOptions: a. 20, b. 30, c. 35, d. 40, e. 55", "pos": "Problem: during a certain two - week period, 76 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period ?\nOptions: a. 16 a, b. 19 a, c. 17 a, d. 18 a, e. 20 a", "neg": "Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time, how many books of the special collection were loaned out during that month ?\nOptions: a. 20, b. 30, c. 35, d. 40, e. 55", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}93{"query": "Problem: if an object travels 300 feet in 6 seconds, what is the object ' s approximate speed in miles per hour ? ( note: 1 mile = 5280 feet )\nOptions: a. 30, b. 31, c. 32, d. 33, e. 34", "pos": "Problem: a train 100 meters long completely crosses a 300 meters long bridge in 36 seconds. what is the speed of the train is ?\nOptions: a. 32 kmph, b. 76 kmph, c. 34 kmph, d. 43 kmph, e. 40 kmph", "neg": "Problem: how many seconds will it take for a car that is traveling at a constant rate of 120 miles per hour to travel a distance of 77 yards ? ( 1 mile = 1,160 yards )\nOptions: a. 1.25, b. 1.31, c. 1.58, d. 1.87, e. 2.3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}94{"query": "Problem: there are 9 baskets numbered from 1 to 9 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end ?\nOptions: a. 440, b. 550, c. 660, d. 770, e. 880", "pos": "Problem: in a basket of apples, 12 % of them are rotten and 66 are in good condition. find the total number of apples in the basket.\nOptions: a. 33, b. 75, c. 23, d. 20, e. 287", "neg": "Problem: a box contains 9 apples, 8 of which are red. an apple is drawn from the box and its color is noted before it is eaten. this is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. what is the smallest possible value of n ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}95{"query": "Problem: in a sports club with 80 members, 48 play badminton and 46 play tennis and 7 do not play either. how many members play both badminton and tennis ?\nOptions: ['a. 23', 'b. 21', 'c. 20', 'd. 26', 'e. 27']", "pos": "Problem: in a group of 28 junior high school students, 5 take french, 10 take spanish, and 4 take both languages. the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish. how many students are not taking either french or spanish ?\nOptions: a. 7, b. 13, c. 9, d. 12, e. 10", "neg": "Problem: in a sports club with 42 members, 20 play badminton and 23 play tennis and 6 do not play either. how many members play both badminton and tennis ?\nOptions: a. 3, b. 5, c. 6, d. 7, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}96{"query": "Problem: in a fuel station the service costs $ 2.10 per vehicle and every liter of fuel costs $ 0.60. assuming that you fill up 3 mini - vans and 2 trucks, what will be the total cost, if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ?\nOptions: a. $ 287.50, b. $ 290.40, c. $ 293.30, d. $ 296.20, e. $ 299.10", "pos": "Problem: in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty, how much money total will it cost to fuel all cars ?\nOptions: a. 320 $, b. 380 $, c. 420 $, d. 450 $, e. 411 $", "neg": "Problem: in a fuel station the service costs $ 1.05 per car, every liter of fuel costs 0.6 $. assuming that you fill up 3 mini - vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ?\nOptions: a. 122.6 $, b. 128.9 $, c. 243.7 $, d. 293.85 $, e. 312.12 $", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}97{"query": "Problem: what is the ratio of 3 / 7 to the product 3 * ( 7 / 3 ) ?\nOptions: a. 3: 7, b. 1: 3, c. 3: 21, d. 1: 7, e. 3: 49", "pos": "Problem: the simple form of the ratio 7 / 6: 2 / 5 is ?\nOptions: a. 10: 6, b. 10: 3, c. 15: 3, d. 25: 3, e. 35: 12", "neg": "Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ?\nOptions: a. 3: 7, b. 1: 3, c. 5: 49, d. 1: 7, e. 3: 49", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}98{"query": "Problem: ( 212 + 222 + 232 +... + 302 ) = ?\nOptions: a. 385, b. 2485, c. 2570, d. 3255, e. none", "pos": "Problem: 11 + 12 + 13 +... 51 + 52 = ?\nOptions: a. 1361, b. 1362, c. 1323, d. 1364, e. 1365", "neg": "Problem: 387 x 387 + 114 x 114 + 2 x 387 x 114 = ?\nOptions: a. 250001, b. 251001, c. 260101, d. 261001, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}99{"query": "Problem: a train of length 250 m crosses a bridge of length 150 m in 20 seconds. what is the speed of train ?\nOptions: a. 33, b. 27, c. 25, d. 22, e. 72", "pos": "Problem: a train 200 m long can cross an electric pole in 20 sec and then find the speed of the train ?\nOptions: a. 987, b. 271, c. 72, d. 27, e. 36", "neg": "Problem: a train 300 m long can cross an electric pole in 20 sec and then find the speed of the train ?\nOptions: a. 72, b. 67, c. 54, d. 26, e. 27", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}100{"query": "Problem: half a number plus 7 is 17. what is the number ?\nOptions: a. 8, b. 9, c. 10, d. 11, e. 20", "pos": "Problem: one half of a two digit number exceeds its one third by 7. what is the sum of the digits of the number ?\nOptions: a. a. 3, b. b. 5, c. c. 7, d. d. 9, e. e. 10", "neg": "Problem: 5 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. the remainder left is half of 66. what is the number ?\nOptions: a. 21, b. 20, c. 22, d. 30, e. 45", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}101{"query": "Problem: how much interest will $ 8,000 earn in 9 months at an annual rate of 6 % ?\nOptions: a. $ 250, b. $ 350, c. $ 360, d. $ 550, e. $ 650", "pos": "Problem: a sum of $ 800 amounts to $ 920 in 3 years at simple interest. if the interest rate is increased by 3 % it would amount to how much ?\nOptions: a. $ 506, b. $ 774, c. $ 992, d. $ 854, e. $ 1021", "neg": "Problem: at what rate percent on simple interest will rs. 750 amount to rs. 900 in 8 years ?\nOptions: a. 6 %, b. 2.5 %, c. 4 %, d. 5 %, e. 3.5 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}102{"query": "Problem: if the ratio of the sum of the first 6 terms of a g. p. to the sum of the first 3 terms of the g. p. is 343, what is the common ratio of the g. p ?\nOptions: a. 3, b. 1 / 3, c. 2, d. 7, e. 1 / 7", "pos": "Problem: if 70 % of a number is equal to two - third of another number, what is the ratio of first number to the second number ?\nOptions: a. 5: 7, b. 18: 23, c. 17: 19, d. 20: 21, e. 2: 3", "neg": "Problem: the compound ratio of 7: 6, 3: 2 and 4: 5 ?\nOptions: a. 7: 5, b. 1: 87, c. 1: 6, d. 1: 9, e. 1: 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}103{"query": "Problem: bert and rebecca were looking at the price of a condominium. the price of the condominium was 50 % more than bert had in savings, and separately, the same price was also 25 % more than rebecca had in savings. what is the ratio of what bert has in savings to what rebecca has in savings.\nOptions: a. 1: 6, b. 1: 3, c. 1: 2, d. 3: 4, e. 5: 6", "pos": "Problem: p and q invested in a shop. the profits were divided in the ratio of 4: 6 respectively. if p invested rs. 55,000, the amount invested by q is :\nOptions: a. 48000, b. 40000, c. 35000, d. 60000, e. none", "neg": "Problem: bert and rebecca were looking at the price of a condominium. the price of the condominium was 100 % more than bert had in savings, and separately, the same price was also 60 % more than rebecca had in savings. what is the ratio of what bert has in savings to what rebecca has in savings.\nOptions: a. 1: 5, b. 2: 5, c. 3: 5, d. 4: 5, e. 1: 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}104{"query": "Problem: a shopkeeper sells 500 metres of cloth for rs. 18000 at a loss of rs. 5 per metre. find his cost price for one metre of cloth ?\nOptions: a. 12, b. 27, c. 29, d. 50, e. 41", "pos": "Problem: a man buys a cycle for rs. 1400 and sells it at a loss of 10 %. what is the selling price of the cycle ?\nOptions: a. rs. 1090, b. rs. 1160, c. rs. 1190, d. rs. 1202, e. none", "neg": "Problem: a shopkeeper sells 600 metres of cloth for rs. 18000 at a loss of rs. 5 per metre. find his cost price for one metre of cloth ?\nOptions: a. 12, b. 27, c. 29, d. 35, e. 21", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}105{"query": "Problem: the difference of two numbers is 1565. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. what is the smaller number ?\nOptions: a. a. 270, b. b. 280, c. c. 290, d. d. 300, e. e. 310", "pos": "Problem: find large number from below question the difference of two numbers is 1355. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder\nOptions: a. 1235, b. 1345, c. 1678, d. 1767, e. 1623", "neg": "Problem: the difference of two numbers is 1415. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. what is the smaller number ?\nOptions: a. a. 270, b. b. 280, c. c. 290, d. d. 300, e. e. 310", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}106{"query": "Problem: how many even number in the range between 15 to 100 inclusive are not divisible by 3\nOptions: a. 29, b. 30, c. 31, d. 33, e. 46", "pos": "Problem: how many even number in the range between 20 to 100 inclusive are not divisible by 3\nOptions: a. 28, b. 30, c. 31, d. 33, e. 46", "neg": "Problem: how many positive integers less than 100 are neither multiples of 2 or 3 ?\nOptions: a. 30, b. 31, c. 32, d. 33, e. 34", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}107{"query": "Problem: the area of a circular field is 17.56 hectares. find the cost of fencing it at the rate of rs. 7 per metre approximately\nOptions: a. 4457, b. 10400, c. 4235, d. 4547, e. 4675", "pos": "Problem: the area of a circular field is 13.86 hectares. find the cost of fencing it at the rate of rs. 4.80 per metre.\nOptions: a. 2399, b. 6336, c. 2999, d. 5808, e. 2888", "neg": "Problem: the area of a circular field is 17.56 hectares. find the cost of fencing it at the rate of rs. 4 per metre approximately\nOptions: a. 4457, b. 4567, c. 5943, d. 4547, e. 4675", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}108{"query": "Problem: a confectioner decides to sell all of his pastry due to the coming holiday. his pastry goods are equally divided among a group of 50 regular customers. if only 49 customers come to the bakery, each one will receive 6 less pastry goods. how much pastry does the confectioner needs to sell ?\nOptions: a. 500., b. 412., c. 432., d. 502., e. 522.", "pos": "Problem: last year department store x had a sales total for december that was 6 times the average ( arithmetic mean ) of the monthly sales totals for january through november. the sales total for december was what fraction of the sales total for the year ?\nOptions: a. 6 / 17, b. 4 / 15, c. 1 / 3, d. 4 / 11, e. 4 / 5", "neg": "Problem: in the storage room of a certain bakery, the ratio of sugar to flour is 5 to 5, and the ratio of flour to baking soda is 10 to 1. if there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. how many pounds of sugar are stored in the room ?\nOptions: a. 600, b. 1200, c. 1500, d. 1600, e. 2400", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}109{"query": "Problem: if 5400 mn = k ^ 4, where m, n, and k are positive integers, what is the least possible value of 2 m + n ?\nOptions: a. 11, b. 18, c. 20, d. 25, e. 35", "pos": "Problem: how many positive integers less than 5,000 are evenly divisible by neither 14 nor 21 ?\nOptions: a. 4,514, b. 4,475, c. 4,521, d. 4,428, e. 4,349", "neg": "Problem: for any integer k greater than 1, the symbol k * denotes the product of all integers between 1 and k, inclusive. if k * is a multiple of 525 what is the least possible value of k ?\nOptions: a. 10, b. 14, c. 15, d. 21, e. 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}110{"query": "Problem: tabby is training for a triathlon. she swims at a speed of 1 mile per hour. she runs at a speed of 7 miles per hour. she wants to figure out her average speed for these two events. what is the correct answer for her ?\nOptions: a. 8 mph, b. 5.25 mph, c. 3.5 mph, d. 4 mph, e. 0.5 mph", "pos": "Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 0.5 kmph, find his average speed for the total journey ?\nOptions: a. 4, b. 3.5, c. 3, d. 3.1, e. 2.8", "neg": "Problem: triathlete dan runs along a 4 - mile stretch of river and then swims back along the same route. if dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute ?\nOptions: a. 1 / 8, b. 2 / 15, c. 3 / 15, d. 1 / 4, e. 3 / 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}111{"query": "Problem: a train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 1.0 km long ?\nOptions: a. 2.5, b. 3, c. 5, d. 7, e. 9", "pos": "Problem: how many seconds will a train 60 meters long take to cross a bridge 120 meters long if the speed of the train is 30 m / sec ?\nOptions: a. 6 sec, b. 8 sec, c. 15 sec, d. 3 sec, e. 5 sec", "neg": "Problem: a train of 30 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 1.5 km long ?\nOptions: a. 6, b. 3.3, c. 4, d. 9, e. 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}112{"query": "Problem: jerome anticipated that the webweb. com stock price would fall and sold all his webweb. com stocks for $ 5 per stock. he paid $ 10,000 tax on the revenue. a week later, jerome became convinced that the webweb. com stock price would rise, and he used the money that he had gotten from selling the webweb. com stocks to purchase them again, this time at $ 6 per stock. if jerome ended up having 7000 webweb. com stocks fewer than the number he had before selling them, how many webweb. com stocks did he have originally ?\nOptions: a. 10,000, b. 11,600, c. 17,000, d. 14,000, e. 16,400", "pos": "Problem: a certain company expects quarterly earnings of $ 0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. if earnings are greater than expected, shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings. if quarterly earnings are $ 1.10 per share, what will be the dividend paid to a person who owns 100 shares of the company ' s stock ?\nOptions: a. $ 92, b. $ 96, c. $ 52, d. $ 120, e. $ 240", "neg": "Problem: jerome anticipated that the webweb. com stock price would fall and sold all his webweb. com stocks for $ 5 per stock. he paid $ 10,000 tax on the revenue. a week later, jerome became convinced that the webweb. com stock price would rise, and he used the money that he had gotten from selling the webweb. com stocks to purchase them again, this time at $ 6 per stock. if jerome ended up having 4000 webweb. com stocks fewer than the number he had before selling them, how many webweb. com stocks did he have originally ?\nOptions: a. 10,000, b. 11,600, c. 12,000, d. 14,000, e. 16,400", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}113{"query": "Problem: find the principle on a certain sum of money at 9 % per annum for 2 2 / 5 years if the amount being rs. 1120 ?\nOptions: a. 1000, b. 912.88, c. 927.78, d. 926.82, e. 921.05", "pos": "Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs 1920 less than the principal. what was the principal ?\nOptions: a. 1500, b. 2500, c. 2507, d. 3200, e. 2400", "neg": "Problem: find the principle on a certain sum of money at 5 % per annum for 2 years if the amount being rs. 1120 ?\nOptions: a. 1018, b. 1067, c. 1977, d. 1056, e. 1097", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}114{"query": "Problem: if 40 % of a number is equal to two - third of another number, what is the ratio of first number to the second number.\nOptions: a. 5: 3, b. 2: 5, c. 4: 7, d. 5: 2, e. none of these", "pos": "Problem: if log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is :\nOptions: a. 0.6532, b. 0.7727, c. 0.3266, d. 0.3796, e. none of these", "neg": "Problem: sum of two numbers is 40 and their difference is 4. the ratio of the numbers is\nOptions: a. 10: 3, b. 5: 9, c. 11: 9, d. 13: 9, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}115{"query": "Problem: vijay lent out an amount rs. 10000 into two parts, one at 8 % p. a. and the remaining at 10 % p. a. both on simple interest. at the end of the year he received rs. 890 as total interest. what was the amount he lent out at 8 % pa. a ?\nOptions: a. 5529, b. 5500, c. 5520, d. 5521, e. 5192", "pos": "Problem: a sum of rs 468.75 was lent out at simple interest and at the end of 1 year and 8 months, the total amount of rs 500 is received. find the rate of interest ?\nOptions: a. 3 %, b. 4 %, c. 5 %, d. 6 %, e. 7 %", "neg": "Problem: i had rs. 10000 with me. out of this, money i lent some money to a for 2 years at 15 % simple interest. i lent the remaining money to b for an equal number of years at 18 % simple interest. after 2 years, i found that a had given me rs. 360 more as interest as compared to ( b. the amount of money which i had lent to b must have been\nOptions: a. 2000, b. 3000, c. 4000, d. 5000, e. 6000", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}116{"query": "Problem: a man whose bowling average is 12.4, takes 5 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is ?\nOptions: a. 82, b. 83, c. 84, d. 85, e. 86", "pos": "Problem: a cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4. the number age of the family now is :\nOptions: a. 18, b. 17, c. 76, d. 85, e. 86", "neg": "Problem: a cricket player whose bowling average was 21.5 runs per wicket, takes 5 wicket for 52 runs in a match. due to this his average decreases by 0.5. what will be the number of wickets taken by him till the last match ?\nOptions: a. 64, b. 72, c. 111, d. 721, e. 108", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}117{"query": "Problem: anand finishes a work in 7 days, bittu finishes the same job in 8 days and chandu in 6 days. they take turns to finish the work. anand on the first day, bittu on the second and chandu on the third day and then anand again and so on. on which day will the work get over ?\nOptions: a. 3 rd, b. 6 th, c. 9 th, d. 7 th, e. 8 th", "pos": "Problem: a man, a woman and a boy can together complete a piece of work in 3 days. if a woman alone can do it in 6 days and a boy alone in 18 days, how long will a man take to complete the work ?\nOptions: a. 5 days, b. 8 days, c. 7 days, d. 9 days, e. 8 days", "neg": "Problem: a can finish a work in 72 days, b in 9 days and c in 2 days, b and c start the work but are forced to leave after 3 days. the remaining work was done by a in ?\nOptions: a. 30 days, b. 12 days, c. 6 days, d. 7 days, e. 8 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}118{"query": "Problem: if the product of two numbers is 45276 and their h. c. f. is 22, find their l. c. m.\nOptions: a. 2574, b. 2500, c. 2100, d. 2058, e. none of these", "pos": "Problem: two numbers have a h. c. f of 20 and a product of two numbers is 2560. find the l. c. m of the two numbers ?\nOptions: a. 140, b. 150, c. 160, d. 128, e. 180", "neg": "Problem: if the l. c. m of two numbers is 560 and their product is 42000, find the h. c. f of the numbers.\nOptions: a. 50, b. 30, c. 75, d. 25, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}119{"query": "Problem: a person saved $ 10 in buying an item on sale. if he spent $ 500 for the item, approximately how much percent he saved in the transaction ?\nOptions: a. 8 %, b. 10 %, c. 2 %, d. 5 %, e. 6 %", "pos": "Problem: a house wife saved $ 5 in buying an item on sale. if she spent $ 48 for the item, approximately how much percent she saved in the transaction ?\nOptions: a. 8 %, b. 9 %, c. 10 %, d. 11 %, e. 12 %", "neg": "Problem: the price of a coat in a certain store is $ 500. if the price of the coat is to be reduced by $ 400, by what percent is the price to be reduced ?\nOptions: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 80 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}120{"query": "Problem: okeydokey paid 5 apples at the apple investment booth for an unopened box of earthworms. artichokey paid 7 apples towards the same lot. the booth pays off earthworms proportional to the apples invested. the box turned out to contain 60 earthworms. how many of them should okeydokey receive ?\nOptions: a. 25, b. 27, c. 28, d. 29, e. 30", "pos": "Problem: the contents of a certain box consist of 20 apples and 30 oranges. how many oranges must be added to the box so that exactly 20 % of the pieces of fruit in the box will be apples ?\nOptions: a. 50, b. 55, c. 75, d. 85, e. 100", "neg": "Problem: a fruit - salad mixture consists of apples, peaches, and grapes in the ratio 6: 5: 4, respectively, by weight. if 60 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes ?\nOptions: a. 15, b. 12, c. 8, d. 6, e. 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}121{"query": "Problem: a glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20 - day period. what percent of the original amount of water evaporated during this period ?\nOptions: a. 0.002 %, b. 0.02 %, c. 0.2 %, d. 2 %, e. 20 %", "pos": "Problem: a glass was filled with 10 ounces of water, and 0.03 ounce of the water evaporated each day during a 20 - day period. what percent of the original amount of water evaporated during this period ?\nOptions: a. 0.006 %, b. 0.06 %, c. 0.6 %, d. 6 %, e. 60 %", "neg": "Problem: one type of liquid contains 10 % of water and the second type of liquid contains 15 % of water. a glass is filled with 5 parts of 1 st liquid and 2 parts of 2 nd liquid. the percentage of water in the new mixture in the glass is ?\nOptions: a. 5.6 %, b. 11.4 %, c. 15.6 %, d. 21.3 %, e. 18.9 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}122{"query": "Problem: a certain store sells all maps at one price and all books at another price. on monday the store sold 10 maps and 8 books for a total of $ 22.00, and on tuesday the store sold 20 maps and 15 books for a total of $ 60.00. at this store, how much less does a map sell for than a book ?\nOptions: a. $ - 5.4, b. $ 0.50, c. $ 0.75, d. $ 1.00, e. $ l. 25", "pos": "Problem: a bookstore has a shelf that contains biographies which normally sell for $ 20 each and mysteries that normally sell for $ 12 each. during a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $ 19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. if the sum of the discount rates for the two types of books is 30 percent, what is the discount rate on mysteries ?\nOptions: a. 17.18 %, b. 12 %, c. 13 %, d. 14 %, e. 15 %", "neg": "Problem: sandy bought 65 books for $ 1080 from one shop and 55 books for $ 840 from another shop. what is the average price that sandy paid per book ?\nOptions: a. $ 14, b. $ 16, c. $ 18, d. $ 20, e. $ 22", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}123{"query": "Problem: a 64 gallon solution of salt and water is 10 % salt. how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ?\nOptions: a. 8, b. 12, c. 13, d. 14, e. 16", "pos": "Problem: solution y is 20 percent liquid x and 80 percent water. if 2 kilograms of water evaporate from 8 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid x ?\nOptions: a. 20 %, b. 21 1 / 2 %, c. 22 %, d. 24 %, e. 25 %", "neg": "Problem: a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. if 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride ?\nOptions: a. 1.25 %, b. 3.75 %, c. 6.25 %, d. 6.67 %, e. 11.7 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}124{"query": "Problem: a gambler bought $ 5,000 worth of chips at a casino in denominations of $ 20 and $ 100. that evening, the gambler lost 16 chips, and then cashed in the remainder. if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost, what is the largest amount of money that the gambler could have received back ?\nOptions: a. $ 4,040, b. $ 4,120, c. $ 1,960, d. $ 4,920, e. $ 1,400", "pos": "Problem: in a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. the purple chips are worth more than the green chips, but less than the red chips. a certain number of chips are then selected from the bag. if the product of the point values of the selected chips is 88,000, how many purple chips were selected ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "neg": "Problem: a gambler has won 40 % of his 20 poker games for the week so far. if, all of a sudden, his luck changes and he begins winning 80 % of the time, how many more games must he play to end up winning 60 % of all his games for the week ?\nOptions: a. 20, b. 25, c. 30, d. 35, e. 40", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}125{"query": "Problem: in the coordinate plane, line a has a slope of - 2 and an x - intercept of 2. line b has a slope of 5 and a y - intercept of - 10. if the two lines intersect at the point ( a, b., what is the sum a + b ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "pos": "Problem: if equation | x / 5 | + | y / 5 | = 2 encloses a certain region on the coordinate plane, what is the area of this region ?\nOptions: a. 20, b. 50, c. 200, d. 100, e. 400", "neg": "Problem: in the xy - coordinate system, if ( m, n ) and ( m + 2, n + k ) are two points on the line perpendicular to x = 2 y + 5, then k = ?\nOptions: a. - 5, b. - 8, c. 2, d. - 4, e. 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}126{"query": "Problem: for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of all the integers between 100 and 200 ?\nOptions: a. 4545, b. 5050, c. 6525, d. 4352, e. 4652", "pos": "Problem: the sum of first n consecutive odd integers is n ^ 2. what is the sum of all odd integers between 15 and 41 inclusive.\nOptions: a. 351, b. 392, c. 410, d. 424, e. 450", "neg": "Problem: for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of odd all the integers between 10 and 100 ?\nOptions: a. 1345, b. 1576, c. 2475, d. 2578, e. 1895", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}127{"query": "Problem: a library has an average of 510 visitors on sundays and 240 on other day. the average number of visitors in a month of 50 days starting with sunday is\nOptions: a. 280, b. 285, c. 171, d. 295, e. 275", "pos": "Problem: a library has an average of 540 visitors on sundays and 240 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is :\nOptions: a. 300, b. 276, c. 290, d. 285, e. none", "neg": "Problem: a library has an average of 510 visitors on sundays and 240 on other day. the average number of visitors in a month of 25 days starting with sunday is\nOptions: a. 342, b. 285, c. 290, d. 295, e. 275", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}128{"query": "Problem: there are 200 employees in a room. 99 % are managers. how many managers must leave the room to bring down the percentage of managers to 98 % ?\nOptions: a. 150, b. 100, c. 99, d. 50, e. 25", "pos": "Problem: in an office, totally there are 2800 employees and 25 % of the total employees are males. 30 % of the males in the office are at - least 50 years old. find the number of males aged below 50 years ?\nOptions: a. 390, b. 490, c. 400, d. 460, e. none of these", "neg": "Problem: there are 200 female managers in a certain company. find the total number w of female employees in the company, if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers.\nOptions: a. 300, b. w = 400, c. w = 500, d. w = 600, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}129{"query": "Problem: 387 x 387 + 114 x 114 + 2 x 387 x 114 = ?\nOptions: a. 250001, b. 251001, c. 260101, d. 261001, e. none of these", "pos": "Problem: - 74 x 29 + 265 = ?\nOptions: a. 2436, b. - 1881, c. - 2801, d. - 2071, e. none of them", "neg": "Problem: ( 212 + 222 + 232 +... + 302 ) = ?\nOptions: a. 385, b. 2485, c. 2570, d. 3255, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}130{"query": "Problem: if a and b are the roots of the equation x 2 - 9 x + 9 = 0, then the value of a 2 + b 2 is :\nOptions: a. 63, b. 24, c. 17, d. 6, e. 5", "pos": "Problem: if x ⁄ 2 + 9 ⁄ 4 = 5 ⁄ 4, what is the value of x ?\nOptions: a. – 2, b. – 1, c. 0, d. 1, e. 2", "neg": "Problem: find a two digit number, given that the sum of the digits is 9 and the difference of the digits is 3. ?\nOptions: a. 75, b. 63, c. 83, d. 94, e. 39", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}131{"query": "Problem: a light has a rating of 80 watts, it is replaced with a new light that has 25 % higher wattage. how many watts does the new light have ?\nOptions: a. 105, b. 95, c. 80, d. 60, e. 100", "pos": "Problem: increasing the original price of a certain item by 25 percent and then increasing the new price by 30 percent is equivalent to increasing the original price by what percent ?\nOptions: a. 31.25, b. 37.5, c. 50.0, d. 52.5, e. 62.5", "neg": "Problem: an employee ’ s annual salary was increased $ 5000. if her new annual salary now equals $ 25000 what was the percent increase ?\nOptions: a. 15 %, b. 80 %, c. 20 %, d. 22 %, e. 24 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}132{"query": "Problem: in the class of 40 students, 30 speak hindi and 20 speak english. what is the lowest possible number of students who speak both the languages ?\nOptions: a. 10, b. 15, c. 20, d. 25, e. 30", "pos": "Problem: subash can copy 50 pages in 10 hrs. subash and prakash together can copy 300 pages in 40 hours. in how much time prakash can copy 20 pages.\nOptions: a. 8, b. 10, c. 12, d. 14, e. 16", "neg": "Problem: in a class of 45 students, 12 enrolled for both english and german. 22 enrolled for german. if the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only english and not german ?\nOptions: a. 30, b. 10, c. 18, d. 23, e. 32", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}133{"query": "Problem: two kinds of vodka are mixed in the ratio 1: 2 and 2: 1 and they are sold fetching the profit 10 % and 30 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of\nOptions: a. 18 %, b. 20 %, c. 30 %, d. 23 %, e. can not be determined", "pos": "Problem: two kinds of vodka are mixed in the ratio 1: 5 and 5: 1 and they are sold fetching the profit 10 % and 20 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of\nOptions: a. 21 %, b. 20 %, c. 21 % 18 %, d. 23 %, e. can not be determined", "neg": "Problem: two kinds of vodka are mixed in the ratio 1: 2 and 2: 1 and they are sold fetching the profit 10 % and 10 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of\nOptions: a. 10 %, b. 20 %, c. 21 %, d. 23 %, e. can not be determined", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}134{"query": "Problem: if k is an integer and 0.00010101 x 10 ^ k is greater than 100, what is the least possible value of k ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "pos": "Problem: if the product of 10 integers is negative, at most how many of the integers can be negative ?\nOptions: a. 2, b. 3, c. 4, d. 9, e. 6", "neg": "Problem: what least no. must be subtracted from 101054 so that remaining no. is divisible by 10 ?\nOptions: a. 6, b. 4, c. 8, d. 5, e. 3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}135{"query": "Problem: how many numbers from 10 to 50 are exactly divisible by 3.\nOptions: a. 13, b. 14, c. 16, d. 17, e. 19", "pos": "Problem: how many multiples of 3 are there between 10 and 100, exclusive ?\nOptions: a. 30, b. 29, c. 28, d. 31, e. 33", "neg": "Problem: how many positive integers less than 100 have a remainder of 3 when divided by 13 ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}136{"query": "Problem: the ratio of laxmi ' s age to the age of her mother is 3: 11. the difference of their ages is 24 years. the ratio of their ages after 3 years will be ?\nOptions: a. 1: 9, b. 1: 3, c. 1: 2, d. 1: 1, e. 3: 3", "pos": "Problem: the ratio of the present age of sandy to that of molly is 9: 2. eight years from now, the ratio of the ages of sandy to molly will be 5: 2. what was sandy ' s age 6 years ago ?\nOptions: a. 18, b. 21, c. 24, d. 27, e. 30", "neg": "Problem: sachin is older than rahul by 7 years. if the ratio of their ages is 11: 9, find the age of sachin\nOptions: a. 24.5, b. 24.8, c. 38.5, d. 24.88, e. 24.19", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}137{"query": "Problem: what is the total number of integers between 10 and 50 that are divisible by 2 ?\nOptions: a. 18, b. 19, c. 22, d. 25, e. 10", "pos": "Problem: in how many no. between 10 and 30 exactly two of the digits is 2 ?\nOptions: a. 25, b. 1, c. 35, d. 45, e. 50", "neg": "Problem: how many different positive integers exist between 10 ^ 5 and 10 ^ 6, the sum of whose digits is equal to 2 ?\nOptions: a. 6, b. 7, c. 5, d. 8, e. 18", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}138{"query": "Problem: company x provides bottled water to its employees in 10 liter bottles, $ 2 each. at least how many 10 l bottles must company x buy monthly, so that new contract with $ 50 fixed monthly rate and $ 1 for 50 l bottle each paid off ? ( assume that no other costs apply )\nOptions: a. 28, b. 29, c. 30, d. 31, e. 32", "pos": "Problem: a company produces 50000 bottles of water everyday. if a case can hold 25 bottles of water. how many cases are required by the company to hold its one day production\nOptions: a. 2000, b. 4500, c. 5000, d. 8000, e. 9000", "neg": "Problem: employees of a certain company are each to receive a unique 10 - digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 such that no digit is used more than once in any given code. in valid codes, the second digit in the code is exactly twice the first digit. how many valid codes are there ?\nOptions: a. 145,660, b. 149,720, c. 155,420, d. 161,280, e. 167,480", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}139{"query": "Problem: solution y is 30 percent liquid x and 70 percent water. if 2 kilograms of water evaporate from 6 kilograms of solution y and 2 kilograms of solution y are added to the remaining 4 kilograms of liquid, what percent of this new solution is liquid x ?\nOptions: a. 33 %, b. 35 1 / 2 %, c. 37 %, d. 40 %, e. 42 %", "pos": "Problem: 30 liters of a mixture contains milk and water in the ratio 2: 1. if 5 liters of this mixture be replaced by 5 liters of milk, the ratio of milk to water in the new mixture would be ?\nOptions: a. 3: 2, b. 3: 1, c. 4: 1, d. 5: 2, e. 2: 1", "neg": "Problem: solution y is 20 percent liquid x and 80 percent water. if 2 kilograms of water evaporate from 8 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid x ?\nOptions: a. 20 %, b. 21 1 / 2 %, c. 22 %, d. 24 %, e. 25 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}140{"query": "Problem: 10 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 3312, how much was it in the beginning ?\nOptions: a. a. 3800, b. b. 4200, c. c. 4400, d. d. 4500, e. e. 4600", "pos": "Problem: 90 % of the population of a village is 36000. the total population of the village is ?\nOptions: a. 26799, b. 24000, c. 26682, d. 29973, e. 40000", "neg": "Problem: 5 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 3553, how much was it in the beginning ?\nOptions: a. 2988, b. 2776, c. 4400, d. 4675, e. 881", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}141{"query": "Problem: a is twice as good a workman as b and they took 11 days together to do the work b alone can do it in.\nOptions: a. 17 days, b. 12 days, c. 29 days, d. 25 days, e. 33 days", "pos": "Problem: a is twice as good a workman as b and together they complete a work in 12 days. in how many days a alone can do the work ?\nOptions: a. 32, b. 33, c. 34, d. 35, e. 36", "neg": "Problem: a is twice as good a workman as b and they took 10 days together to do the work b alone can do it in.\nOptions: a. 25 days, b. 88 days, c. 30 days, d. 11 days, e. 13 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}142{"query": "Problem: 160 % of 5 / 8 =\nOptions: a. 0.2, b. 0.5, c. 0.6, d. 0.75, e. 1.0", "pos": "Problem: what is the rate percent when the simple interest on rs. 800 amount to rs. 160 in 5 years ?\nOptions: a. 5 %, b. 7 %, c. 9 %, d. 2 %, e. 4 %", "neg": "Problem: 5 % of ( 25 % of $ 1600 ) is ?\nOptions: a. $ 20, b. $ 30, c. $ 45, d. $ 15, e. $ 60", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}143{"query": "Problem: what is the sum of all the multiples of 9 between 0 and 99 ?\nOptions: a. 500, b. 594, c. 450, d. 340, e. 440", "pos": "Problem: if all 6 are replaced by 9, the algebric sum of all numbers from 1 to 100 ( both inclusive. varies by ,\nOptions: a. 980, b. 330, c. 660, d. 990, e. 300", "neg": "Problem: what is the sum of all the multiples of 10 between 0 and 99 ?\nOptions: a. 500, b. 620, c. 450, d. 340, e. 440", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}144{"query": "Problem: if the price of 357 apples is rs. 1517.25, what will be the approximate price of 49 dozens of such apples ?\nOptions: a. rs. 2500, b. rs. 2300, c. rs. 2200, d. rs. 1400, e. rs. 1600", "pos": "Problem: a shopkeeper has 280 kg of apples. he sells 30 % of these at 20 % profit and remaining 60 % at 30 % profit. find his % profit on total.\nOptions: a. 24 %, b. 25 %, c. 26 %, d. 28 %, e. 35 %", "neg": "Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram. if the price of 33 kilograms is 663 and for 36 kgs of apples is 726 then the cost of first 10 kgs of apples is\nOptions: a. 100, b. 150, c. 200, d. 350, e. 450", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}145{"query": "Problem: in the first 10 overs of a cricket game, the run rate was only 3.8. what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 6.5, c. 6.75, d. 6.1, e. 8", "pos": "Problem: in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 50 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 5.5, c. 7.4, d. 5, e. 6", "neg": "Problem: in the first 10 overs of a cricket game, the run rate was only 4.2. what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?\nOptions: a. 6.25, b. 6.5, c. 6.75, d. 7, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}146{"query": "Problem: a person buys an article at rs. 480. at what price should he sell the article so as to make a profit of 24 % ?\nOptions: a. 595, b. 882, c. 772, d. 662, e. 521", "pos": "Problem: by selling an article at rs. 600, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 25 % ?\nOptions: a. s. 360, b. s. 480, c. s. 500, d. s. 450, e. s. 550", "neg": "Problem: a person buys an article at rs. 400. at what price should he sell the article so as to make a profit of 40 % ?\nOptions: a. 600, b. 277, c. 560, d. 261, e. 281", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}147{"query": "Problem: what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 110 ?\nOptions: a. 10, b. 25, c. 55, d. 75, e. 100", "pos": "Problem: what is the sum of all the multiples of 10 between 0 and 99 ?\nOptions: a. 500, b. 620, c. 450, d. 340, e. 440", "neg": "Problem: the sum of three consecutive numbers is 102. the greatest among these three number is :\nOptions: a. 26, b. 35, c. 29, d. 30, e. 31", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}148{"query": "Problem: roses can be purchased individually for $ 6.30, one dozen for $ 36, or two dozen for $ 50. what is the greatest number of roses that can be purchased for $ 680 ?\nOptions: a. 156, b. 162, c. 316, d. 324, e. 325", "pos": "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, a 20 - pack for $ 3.05, and a 250 - pack for $ 22.95. what is the greatest number of hot dogs you can buy at this store with $ 205 ?\nOptions: a. 1,108, b. 2,100, c. 2,140, d. 2,124, e. 2,256", "neg": "Problem: at the end of the day, february 14 th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short - stemmed. a third of the roses were short - stemmed, 20 of which were white and 10 of which were pink. the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed. if none of the long - stemmed roses were white, what percentage of the long - stemmed roses were red ?\nOptions: a. 20 %, b. 50 %, c. 55 %, d. 75 %, e. 80 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}149{"query": "Problem: the sub - duplicate ratio of 25: 49 is\nOptions: a. 4: 3, b. 5: 7, c. 6: 4, d. 1: 4, e. 2: 3", "pos": "Problem: the triplicate ratio of 2: 4 is ?\nOptions: a. 1: 64, b. 1: 8, c. 1: 34, d. 3: 64, e. 5: 64", "neg": "Problem: the duplicate ratio of 4: 5 is ?\nOptions: a. 1: 2, b. 1: 4, c. 1: 8, d. 1: 18, e. 16: 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}150{"query": "Problem: a man walking at a rate of 10 km / hr crosses a bridge in 24 minutes. the length of the bridge is ?\nOptions: a. 1521, b. 1492, c. 1667, d. 4000, e. 1112", "pos": "Problem: a person crosses a 1080 m long street in 12 minutes. what is his speed in km per hour ?\nOptions: a. 4.1, b. 4.5, c. 4.8, d. 5.4, e. 5.5", "neg": "Problem: a man walking at a rate of 5 km / hr crosses a bridge in 15 minutes. the length of the bridge is ?\nOptions: a. 1250 m, b. 1310 m, c. 1500 m, d. 1000 m, e. 1195 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}151{"query": "Problem: find the ratio in which rice at rs. 7.10 a kg be mixed with rice at rs. 5.70 a kg to produce a mixture worth rs. 6.30 a kg ?\nOptions: a. 1: 3, b. 2: 3, c. 3: 4, d. 4: 5, e. none of these", "pos": "Problem: in what ratio must a grocer mix two varieties of pulses costing rs. 15 and rs. 20 per kg respectively so as to get a mixture worth rs. 16.50 per kg ?\nOptions: a. 3: 7, b. 5: 7, c. 7: 3, d. 7: 5, e. none", "neg": "Problem: find the ratio in which rice at rs. 7.20 a kg be mixed with rice at rs. 5.70 a kg to produce a mixture worth rs. 6.30 a kg\nOptions: a. 2: 0, b. 2: 3, c. 2: 1, d. 2: 2, e. 2: 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}152{"query": "Problem: 11: 35: : 17: ?\nOptions: a. 3, b. 22, c. 58, d. 10, e. 54", "pos": "Problem: 2,7, 17,3, 11,19, 5,13, __\nOptions: a. 20, b. 21, c. 22, d. 23, e. 24", "neg": "Problem: 5, 11, 23, 41, 64, _\nOptions: a. 95, b. 96, c. 97, d. 98, e. 99", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}153{"query": "Problem: a class consists of 15 biology students and 10 chemistry students. if you pick two students at the same time, what ' s the probability that one is maths and one is chemistry ?\nOptions: a. 2 / 7, b. 5 / 7, c. 1 / 2, d. 3 / 7, e. 1 / 2", "pos": "Problem: there are 15 boys and 10 girls in a class. if three students are selected at random, in how many ways that 1 girl or 2 boys are selected ?\nOptions: a. 100, b. 105, c. 115, d. 120, e. 125", "neg": "Problem: in a room filled with 7 people, 2 people have exactly 1 sibling in the room and 5 people have exactly 2 siblings in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings ?\nOptions: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 16 / 21", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}154{"query": "Problem: an aeroplane covers a certain distance of 420 kmph in 6 hours. to cover the same distance in 4 2 / 3 hours, it must travel at a speed of\nOptions: a. 440, b. 540, c. 640, d. 740, e. 250", "pos": "Problem: a person is traveling at 60 km / hr and reached his destiny in 4 hr. 30 m then find the distance ?\nOptions: a. 150 km, b. 270 km, c. 246 km, d. 196 km, e. 205 km", "neg": "Problem: an aeroplane covers a certain distance of 670 kmph in 6 hours. to cover the same distance in 6 1 / 4 hours, it must travel at a speed of\nOptions: a. 440, b. 540, c. 643, d. 740, e. 250", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}155{"query": "Problem: jane and thomas are among the 8 people from which a committee of 4 people is to be selected. how many different possible committees of 4 people can be selected from these 8 people if at least one of either jane or thomas is to be selected ?\nOptions: a. 28, b. 46, c. 55, d. 63, e. 70", "pos": "Problem: in a group of 7 boys and 8 girls, 5 members are to be selected. in how many different ways can they be selected such that at least 3 boys should be there ?\nOptions: a. 1200, b. 1500, c. 1281, d. 1339, e. 1296", "neg": "Problem: a group of 8 friends want to play doubles tennis. how many different ways can the group be divided into 4 teams of 2 people ?\nOptions: a. 420, b. 2520, c. 168, d. 90, e. 105", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}156{"query": "Problem: the average mark of the students of a class in a particular exam is 80. if 8 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam.\nOptions: a. 15, b. 25, c. 35, d. 45, e. 56", "pos": "Problem: the average ( arithmetic mean ) of all scores on a certain algebra test was 90. if the average of the 8 male students ’ grades was 84, and the average of the female students ’ grades was 92, how many female students took the test ?\nOptions: a. 8, b. 9, c. 10, d. 21, e. 24", "neg": "Problem: the average mark of the students of a class in a particular exam is 80. if 5 students whose average mark in that exam is 60 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam.\nOptions: a. 22, b. 27, c. 15, d. 99, e. 21", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}157{"query": "Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 17 ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "pos": "Problem: what is the smallest number by which 2880 must be divided in order to make it into a perfect square ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "neg": "Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 20 ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}158{"query": "Problem: a rectangular swimming pool is 20 feet by 18 feet. a deck that has uniform width surrounds the pool. the total area of the pool and deck is 624 square feet. what is the width of the deck ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "pos": "Problem: a circular swimming pool is surrounded by a concrete wall 4 feet wide. if the area of the wall is 11 / 25 of the area of the pool, then the radius of the pool in feet is ?\nOptions: ['a. 22', 'b. 20', 'c. 9', 'd. 8', 'e. 1']", "neg": "Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. if the area of the field is 800 sq. ft, how many feet of fencing will be required ?\nOptions: a. 100 feet, b. 120 feet, c. 150 feet, d. 180 feet, e. 186 feet", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}159{"query": "Problem: what is the least integer greater than 0 + 0.5 ?\nOptions: a. – 2, b. – 1, c. 0, d. 1, e. 2", "pos": "Problem: if x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value a of z - x ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "neg": "Problem: what is the least integer greater than – 2 + 0.5 ?\nOptions: a. – 2, b. – 1, c. 0, d. 1, e. 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}160{"query": "Problem: two diagonals of a rhombus are 72 cm and 30 cm respectively. what is its perimeter ?\nOptions: ['a. 136 cm', 'b. 156 cm', 'c. 144 cm', 'd. 121 cm', 'e. 126 cm']", "pos": "Problem: the perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. find its area ?\nOptions: a. 290, b. 240, c. 2870, d. 289, e. 292", "neg": "Problem: a rectangle measures 8 cm on length and its diagonal measures 17 cm. what is the perimeter of the rectangle ?\nOptions: ['a. 44 cm', 'b. 42 cm', 'c. 46 cm', 'd. 49 cm', 'e. 41 cm']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}161{"query": "Problem: to fill a tank, 25 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3 / 10 of its present ?\nOptions: a. 61.5, b. 60.5, c. 63.5, d. 83.333, e. 64.5", "pos": "Problem: if henry were to add 9 gallons of water to a tank that is already 3 / 4 full of water, the tank would be 7 / 8 full. how many gallons of water would the tank hold if it were full ?\nOptions: a. 25, b. 40, c. 64, d. 72, e. 96", "neg": "Problem: to fill a tank, 25 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two - fifth of its present ?\nOptions: a. 52.5, b. 62.5, c. 72.5, d. 82.5, e. 81.5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}162{"query": "Problem: one side of a rectangular field is 14 m and one of its diagonal is 17 m. find the area of the field.\nOptions: a. 134.4, b. 120, c. 150, d. 180, e. none", "pos": "Problem: a circular ground whose diameter is 35 metres, has a 1.4 metre - broad garden around it. what is the area of the garden in square metres ?\nOptions: a. 160.16, b. 6.16, c. 122.66, d. data inadequate, e. none of these", "neg": "Problem: one side of a rectangular field is 15 m and one of its diagonal is 18 m. find the area of the field.\nOptions: a. 100, b. 120, c. 150, d. 148.5, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}163{"query": "Problem: a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 24 kilometers per hour. the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up ?\nOptions: a. 10, b. 15, c. 20, d. 25, e. 30", "pos": "Problem: annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively. after 40 minutes, annie stops to fix a flat tire. if it takes annie 30 minutes to fix the flat tire and sam continues to ride during this time, how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ?\nOptions: a. 20, b. 40, c. 60, d. 80, e. 100", "neg": "Problem: a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 30 kilometers per hour. the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up ?\nOptions: a. 7.5, b. 15, c. 17.5, d. 25, e. 32.5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}164{"query": "Problem: the average weight of 29 students is 28 kg. by the admission of a new student, the average weight is reduced to 27.1 kg. the weight of the new student is\nOptions: a. 22 kg, b. 1 kg, c. 22.4 kg, d. 21 kg, e. none of these", "pos": "Problem: the average weight of 6 person ' s increases by 1.8 kg when a new person comes in place of one of them weighing 69 kg. what might be the weight of the new person ?\nOptions: a. 73 kg, b. 79.8 kg, c. 86 kg, d. data inadequate, e. none of these", "neg": "Problem: the average weight of 4 students decreases by 8 kg when one of them weighing 96 kg is replaced by a new student. the weight of the student is\nOptions: a. 62 kg, b. 60 kg, c. 64 kg, d. 72 kg, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}165{"query": "Problem: what will be in unit ' s place digit of 3 to the power 34.\nOptions: a. 1, b. 6, c. 3, d. 0, e. 9", "pos": "Problem: find the ones digit of 73 ^ 300\nOptions: a. 3, b. 5, c. 6, d. 7, e. 10", "neg": "Problem: what is the units digit of ( 3 ^ 13 ) ( 4 ^ 13 ) ?\nOptions: a. 2, b. 4, c. 6, d. 7, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}166{"query": "Problem: a group of 8 friends want to play doubles tennis. how many different ways can the group be divided into 4 teams of 2 people ?\nOptions: a. 420, b. 2520, c. 168, d. 90, e. 105", "pos": "Problem: in a room with 8 people, 5 people have exactly 1 friend in the room and 4 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship, i. e. if jane is paul ' s friend, paul is jane ' s friend.. if two individuals are selected from the room at random, what is the probability that those two individuals are not friends ?\nOptions: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 25 / 28", "neg": "Problem: jane and thomas are among the 8 people from which a committee of 4 people is to be selected. how many different possible committees of 4 people can be selected from these 8 people if at least one of either jane or thomas is to be selected ?\nOptions: a. 28, b. 46, c. 55, d. 63, e. 70", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}167{"query": "Problem: a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200. if a store employee applied the 10 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder ?\nOptions: a. $ 198, b. $ 216, c. $ 220, d. $ 230, e. $ 240", "pos": "Problem: a shopkeeper sold an article at $ 1170 and gained a 20 % profit. what was the cost price ?\nOptions: a. $ 950, b. $ 975, c. $ 1000, d. $ 1025, e. $ 1050", "neg": "Problem: a retailer bought a machine at a wholesale price of $ 108 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price of the machine ?\nOptions: a. 81, b. 100, c. 120, d. 135, e. 144", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}168{"query": "Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 1,455, what was the total number of pairs of contact lenses that she sold ?\nOptions: a. 11, b. 13, c. 15, d. 17, e. 19", "pos": "Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 1455, what was the total number of pairs of contact lenses that she sold ?\nOptions: a. 11, b. 13, c. 15, d. 17, e. 19", "neg": "Problem: ben left a job paying $ 75000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission. if each of his sales is for $ 750, what is the least number of sales he must make per year if he is not to lose money because of the change ?\nOptions: a. 40, b. 200, c. 266, d. 267, e. 600", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}169{"query": "Problem: it costs $ 5 for the first 1 / 3 hour to use the laundry machine at the laundromat. after the first ¼ hour it costs $ 12 per hour. if a certain customer uses the laundry machine for 2 hours and 30 minutes, how much will it cost him ?\nOptions: a. $ 27., b. $ 29., c. $ 31., d. $ 33., e. $ 35.", "pos": "Problem: it costs $ 2 for the first 1 / 5 hour to use the laundry machine at the laundromat. after the first ¼ hour it costs $ 12 per hour. if a certain customer uses the laundry machine for 2 hours and 15 minutes, how much will it cost him ?\nOptions: a. $ 25., b. $ 26., c. $ 29., d. $ 30., e. $ 31.", "neg": "Problem: a certain psychologist charges $ 20 more for the first hour of therapy than for each additional hour. if the total charge to a patient who receives 5 hours of therapy is $ 300, what is the total charge to a patient who receives only 3 hours of therapy ?\nOptions: a. $ 120, b. $ 135, c. $ 150, d. $ 165, e. $ 188", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}170{"query": "Problem: a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1881, what is the value of n ?\nOptions: a. 22, b. 38, c. 114, d. 122, e. 672", "pos": "Problem: if n is a positive integer and n ^ 2 is divisible by 18, then what is the largest positive integer that must divide n ?\nOptions: a. 3, b. 4, c. 6, d. 8, e. 9", "neg": "Problem: the sum of the even numbers between 1 and n is 85 * 86, where n is an odd number, then n = ?\nOptions: a. 163, b. 171, c. 179, d. 185, e. 191", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}171{"query": "Problem: 2,7, 17,3, 11,19, 5,13, __\nOptions: a. 20, b. 21, c. 22, d. 23, e. 24", "pos": "Problem: 11: 35: : 17: ?\nOptions: a. 3, b. 22, c. 58, d. 10, e. 54", "neg": "Problem: 7, 26, 63, 124, 215, 342, (.... )\nOptions: a. 481, b. 391, c. 511, d. 421, e. 452", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}172{"query": "Problem: if 8 workers can build 8 cars in 8 days, then how many days would it take 4 workers to build 4 cars ?\nOptions: a. 2, b. 4, c. 8, d. 12, e. 16", "pos": "Problem: 8 men, working 8 hours a day can complete a work in 18 days. how many hours a day must 12 men work to complete the same work in 12 days ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "neg": "Problem: if 8 workers can build 8 cars in 8 days, then how many days would it take 6 workers to build 6 cars ?\nOptions: a. 2, b. 4, c. 6, d. 8, e. 12", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}173{"query": "Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 9 years older than b, the present age of b is\nOptions: a. 9 years, b. 19 years, c. 29 years, d. 39 years, e. none", "pos": "Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 5 years older than b the present age of b is\nOptions: a. 37, b. 38, c. 39, d. 35, e. 41", "neg": "Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 9 years older than b the present age of b is\nOptions: a. 37, b. 38, c. 39, d. 40, e. 41", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}174{"query": "Problem: if 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 8 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?\nOptions: a. 1 / 9, b. 29 / 180, c. 9 / 80, d. 1 / 5, e. 39 / 121", "pos": "Problem: together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many q hours would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine. ?\nOptions: a. 22 hours, b. 30 hours, c. 44 hours, d. 60 hours, e. it can not be determined from the information above.", "neg": "Problem: a can complete the job in 6 hours and b can complete the same job in 3 hours. a works for 1 hour and then b joins and both complete the job. what fraction of the job did b complete\nOptions: a. 1 / 9, b. 3 / 10, c. 1 / 2, d. 5 / 6, e. 8 / 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}175{"query": "Problem: two ships are sailing in the sea on the two sides of a lighthouse. the angle of elevation of the top of the lighthouse is observed from the ships are 30 º and 45 º respectively. if the lighthouse is 100 m high, the distance between the two ships is :\nOptions: a. 173 m, b. 200 m, c. 273 m, d. 300 m, e. none of these", "pos": "Problem: in one hour, a boat goes 11 km along the stream and 5 km against the stream. the speed of the boat in still water is :\nOptions: a. 3, b. 5, c. 8, d. 9, e. 10", "neg": "Problem: a ship 77 km from the shore, springs a leak which admits to 9 / 4 tonnes of water in 11 / 2 minutes. 92 tonnes of water would sink it. but the pumps can throw out 12 tonnes of water per hour. find the average rate of sailing so that the ship may just reach the shore as it begins to sink.\nOptions: a. 10.5, b. 11, c. 12, d. 13, e. 15", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}176{"query": "Problem: in a class, 5 people like baseball and football, 2 people only like baseball, 3 people only like football, and 6 people like neither. how many people are in the class ?\nOptions: ['a. 10', 'b. 14', 'c. 16', 'd. 20', 'e. 22']", "pos": "Problem: out of 250 students of a college, 160 play football, 90 play cricket and 50 neither play football nor cricket. how many students play both football and cricket ?\nOptions: a. 30, b. 40, c. 50, d. 60, e. 70", "neg": "Problem: in a class, 10 students like to play basketball and 8 like to play cricket. 4 students like to play on both basketball and cricket. how many students like to play basketball or cricket or both ?\nOptions: a. 12, b. 15, c. 16, d. 18, e. 14", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}177{"query": "Problem: how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8.5 m x 6 m x 22.5 cm ?\nOptions: a. 6400, b. 6410, c. 6440, d. 6500, e. 6800", "pos": "Problem: the length of a room is 9 m and width is 4.75 m. what is the cost of paying the floor by slabs at the rate of rs. 900 per sq. metre.\nOptions: a. 25650, b. 25750, c. 26550, d. 30750, e. 38475", "neg": "Problem: how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 9 m x 6 m x 22.5 cm ?\nOptions: a. 6400, b. 6410, c. 6440, d. 7200, e. 6800", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}178{"query": "Problem: given that p is a positive even integer with a positive units digit, if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0, what is the units digit of p + 4 ?\nOptions: a. 7, b. 8, c. 10, d. 11, e. 12", "pos": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 6, what is the units digit of ( a + 2 ) ^ 2 ?\nOptions: a. 1, b. 3, c. 5, d. 6, e. 8", "neg": "Problem: if a is a positive integer, and if the units digit of a ^ 2 is 4 and the units digit of ( a + 1 ) ^ 2 is 1, what is the units digit of ( a + 2 ) ^ 2 ?\nOptions: a. 0, b. 2, c. 4, d. 6, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}179{"query": "Problem: a palindrome is a number that reads the same forward and backward, such as 196. how many odd, 4 - digit numbers are palindromes ?\nOptions: a. 40, b. 45, c. 50, d. 90, e. 2500", "pos": "Problem: a palindrome is a number that reads the same forward and backward, such as 343. how many odd, 8 - digit numbers are palindromes ?\nOptions: a. 4000, b. 4500, c. 5055, d. 5000, e. 2500", "neg": "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 500000 ?\nOptions: a. 160, b. 200, c. 240, d. 300, e. 480", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}180{"query": "Problem: the profit obtained by selling an article for rs. 56 is the same as the loss obtained by selling it for rs. 42. what is the cost price of the article ?\nOptions: a. rs. 40, b. rs. 50, c. rs. 49, d. rs. 59, e. none of these", "pos": "Problem: by selling an article at rs. 600, a profit of 60 % is made. find its cost price ?\nOptions: a. 228, b. 267, c. 375, d. 480, e. 811", "neg": "Problem: the profit obtained by selling an article for rs. 54 is the same as the loss obtained by selling it for rs. 40. what is the cost price of the article ?\nOptions: a. rs. 40, b. rs. 50, c. rs. 49, d. rs. 59, e. rs. 47", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}181{"query": "Problem: what is the maximum number of points that 10 circles of different radii intersect ?\nOptions: a. 24, b. 26, c. 33, d. 90, e. 100", "pos": "Problem: in the rectangular coordinate system, points ( 16, 0 ) and ( – 16, 0 ) both lie on circle c. what is the maximum possible value of the radius of c ?\nOptions: a. 2, b. 4, c. 8, d. 16, e. none of the above", "neg": "Problem: if the length of the longest chord of a certain circle is 10, what is the radius of that certain circle ?\nOptions: ['a. 2.5', 'b. 5', 'c. 10', 'd. 15', 'e. 20']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}182{"query": "Problem: an 80 - liter solution of cool - drink is made from 10 % jasmine water. if 5 liters of jasmine and 15 liters of water were added to the solution, what percent of the solution is jasmine ?\nOptions: a. 11 %, b. 13 %, c. 15 %, d. 17 %, e. 19 %", "pos": "Problem: a 340 - liter solution of kola is made from 88 % water, 5 % concentrated kola and the rest is made from sugar. if 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated kola were added to the solution, what percent of the solution is made from sugar ?\nOptions: a. 6 %., b. 7.5 %., c. 9.2 %., d. 10.5 %., e. 11 %.", "neg": "Problem: an 80 - liter solution of cool - drink is made from 10 % jasmine water. if 8 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine ?\nOptions: a. 12 %, b. 14 %, c. 16 %, d. 18 %, e. 20 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}183{"query": "Problem: an error 3 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is\nOptions: a. 6.04 %, b. 6.14 %, c. 6.23 %, d. 6.26 %, e. 6.09 %", "pos": "Problem: the area of a triangle is with base 4 m and height 6 m ?\nOptions: a. 11 m 2, b. 10 m 2, c. 18 m 2, d. 19 m 2, e. 12 m 2", "neg": "Problem: an error 1 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is :\nOptions: a. 2.01, b. 30.1, c. 3.01, d. 25.01, e. 4.05", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}184{"query": "Problem: share rs. 6600 among john, jose & binoy in the ration 2: 4: 6. find the amount received by john ?\nOptions: a. 2200, b. 980, c. 1200, d. 1240, e. 1400", "pos": "Problem: a sum of money is to be distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets rs. 500 more than d, what is a ' s share ?\nOptions: a. rs. 2500, b. rs. 1000, c. rs. 1500, d. rs. 2000, e. none", "neg": "Problem: rs. 1210 were divided among 3 person p, q, r so that p: q = 5: 4 and q: r = 9: 10. then r gets the amount ?\nOptions: a. rs. 300, b. rs. 400, c. rs. 480, d. rs. 500, e. rs. 520", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}185{"query": "Problem: the cash realised on selling a 14 % stock is rs. 105.25, brokerage being 1 / 4 % is ?\nOptions: a. 366, b. 106, c. 102, d. 105, e. 122", "pos": "Problem: the cash realised on selling a 14 % stock is rs. 109.25, brokerage being 1 / 4 % is ?\nOptions: a. 366, b. 106, c. 102, d. 109, e. 122", "neg": "Problem: the cash realised on selling a 14 % stock is rs. 106.25, brokerage being 1 / 4 % is ?\nOptions: a. 366, b. 106, c. 102, d. 192, e. 122", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}186{"query": "Problem: there are 6 boxes numbered 1, 2, …,. 6. each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. the total number of ways in which this can be done is\nOptions: a. 22, b. 21, c. 45, d. 27, e. 25", "pos": "Problem: a bag contains 6 black and 4 white balls. one ball is drawn at random. what is the probability that the ball drawn is white ?\nOptions: a. 3 / 4, b. 2 / 5, c. 1 / 7, d. 1 / 8, e. 4 / 3", "neg": "Problem: 4 balls of different colors are to be placed in 3 different boxes such that any box contains at least 1 ball. what is the maximum number of different ways in which this can be done ?\nOptions: a. 60, b. 90, c. 120, d. 150, e. 180", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}187{"query": "Problem: a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. if 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride ?\nOptions: a. 1.25 %, b. 3.75 %, c. 6.25 %, d. 6.67 %, e. 11.7 %", "pos": "Problem: a tank contains 7,000 gallons of a solution that is 5 percent sodium chloride by volume. if 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride ?\nOptions: a. 4.77 %, b. 5.77 %, c. 6.77 %, d. 7.77 %, e. 8.77 %", "neg": "Problem: a 64 gallon solution of salt and water is 10 % salt. how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ?\nOptions: a. 8, b. 12, c. 13, d. 14, e. 16", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}188{"query": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did a get in a profit of rs. 2490 ?\nOptions: a. rs. 832, b. rs. 830, c. rs. 822, d. rs. 812, e. rs. 810", "pos": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did c get in a profit of rs. 2490 ?\nOptions: a. s. 332, b. s. 498, c. s. 822, d. s. 812, e. s. 810", "neg": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did a get in a profit of rs. 2400 ?\nOptions: a. s. 800, b. s. 810, c. s. 820, d. s. 900, e. s. 920", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}189{"query": "Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is ?\nOptions: a. 44, b. 48, c. 46, d. 47, e. 50", "pos": "Problem: the area of a triangle is with base 10 m and height 5 m ?\nOptions: a. 11, b. 25, c. 787, d. 122, e. 12", "neg": "Problem: what is the area of an equilateral triangle whose one side length is 50 ?\nOptions: a. 225 √ 3, b. 325 √ 3, c. 425 √ 3, d. 525 √ 3, e. 625 √ 3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}190{"query": "Problem: a train covers a distance at a speed of 240 kmph in 5 hours. to cover the same distance in 5 / 3 hours, it must travel at a speed of ?\nOptions: a. 516, b. 840, c. 560, d. 720, e. 920", "pos": "Problem: a train 200 m long can cross an electric pole in 5 sec and then find the speed of the train ?\nOptions: a. 114, b. 124, c. 134, d. 144, e. 154", "neg": "Problem: a train covers a distance in 50 min, if it runs at a speed of 48 kmph on an average. the speed at which the train must run to reduce the time of journey to 40 min will be.\nOptions: a. 60 kmph, b. 63 kmph, c. 57 kmph, d. 70 kmph, e. 61 kmph", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}191{"query": "Problem: each week a restaurant serving mexican food uses the same volume of chili paste, which comes in either 25 - ounce cans or 15 - ounce cans of chili paste. if the restaurant must order 40 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulfill its weekly needs ?\nOptions: a. 40, b. 30, c. 60, d. 45, e. 55", "pos": "Problem: for each color copy, print shop x charges $ 1.25 and print shop y charges $ 2.75. how much greater is the charge for 40 color copies at print shop y than at print shop x ?\nOptions: a. $ 48, b. $ 54, c. $ 60, d. $ 66, e. $ 72", "neg": "Problem: a drink vendor has 20 liters of maaza, 144 liters of pepsi and 368 liters of sprite. he wants to pack them in cans, so that each can contains the same number of liters of a drink, and does n ' t want to mix any two drinks in a can. what is the least number of cans required ?\nOptions: a. 135, b. 137, c. 142, d. 130, e. 133", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}192{"query": "Problem: a 270 metres long bullet train running at the speed of 120 kmph crosses another bullet train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other bullet train ?\nOptions: a. 226, b. 230, c. 430, d. 310, e. 260", "pos": "Problem: two bullet train s 140 m and 210 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time ( in seconds ) which they take to cross each other, is :\nOptions: a. 15.8 sec., b. 12.6 sec., c. 11.8 sec., d. 10.8 sec., e. 08.8 sec.", "neg": "Problem: a 120.00001 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other train ?\nOptions: a. 220 meter, b. 225 meter, c. 380 meter, d. 435 meter, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}193{"query": "Problem: winson traveled the entire 60 miles trip. if he did the first 10 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour ?\nOptions: a. 20 mph, b. 24 mph, c. 30 mph, d. 32 mph, e. 40 mph", "pos": "Problem: steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 100 mph. what is his average speed of travel for the entire journey ?\nOptions: a. 60 mph, b. 56.67 mph, c. 53.33 mph, d. 64 mph, e. 76 mph", "neg": "Problem: a car drives 60 miles on local roads at 20 mph, and 195 miles on the highway at 65 mph, what is the average speed of the entire trip ?\nOptions: a. 36 mph, b. 40 mph, c. 44 mph, d. 43 mph, e. 58 mph", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}194{"query": "Problem: a pet store holds cats and dogs. if the difference between the number of cats and the number of dogs is 7. what could be the ratio of cats to dogs in the pet store ?\nOptions: a. 1: 3, b. 1: 4, c. 28: 35, d. 2: 5, e. 4: 6", "pos": "Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 5 to 7, if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm ?\nOptions: a. 18, b. 28, c. 40, d. 56, e. 60", "neg": "Problem: a pet store holds cats and dogs. if the difference between the number of cats and the number of dogs is 11. what could be the ratio of cats to dogs in the pet store ?\nOptions: a. 1: 3, b. 1: 4, c. 1: 5, d. 44: 55, e. 4: 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}195{"query": "Problem: a train running at the speed of 60 km / hr crosses a pole in 18 seconds. find the length of the train ?\nOptions: a. 150 meter, b. 170 meter, c. 156 meter, d. 300 meter, e. 154 meter", "pos": "Problem: a train running at the speed of 60 km / hr crosses a pole in 6 sec. what is the length of the train ?\nOptions: a. 356, b. 278, c. 127, d. 100, e. 150", "neg": "Problem: a train running at the speed of 72 km / hr crosses a pole in 9 seconds. find the length of the train.\nOptions: a. 150 meter, b. 286 meter, c. 180 meter, d. 288 meter, e. 265 meter", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}196{"query": "Problem: the h. c. f of two numbers is 23 and the other two factors of their l. c. m are 13 and 14. the larger of the two numbers is :\nOptions: a. 338, b. 278, c. 322, d. 231, e. 121", "pos": "Problem: the h. c. f of two numbers is 23 and the other two factors of their l. c. m are 14 and 15. the larger of the two numbers is :\nOptions: a. 338, b. 278, c. 345, d. 231, e. 121", "neg": "Problem: the h. c. f. of two numbers is 23 and the other two factors of their l. c. m. are 13 and 15. the larger of the two numbers is :\nOptions: a. 276, b. 299, c. 322, d. 345, e. 354", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}197{"query": "Problem: 60 is subtracted from 50 % of a number, the result is 10. find the number ?\nOptions: a. 150, b. 120, c. 266, d. 288, e. 271", "pos": "Problem: what least no. must be subtracted from 101054 so that remaining no. is divisible by 10 ?\nOptions: a. 6, b. 4, c. 8, d. 5, e. 3", "neg": "Problem: 40 is subtracted from 60 % of a number, the result is 50. find the number ?\nOptions: a. 150, b. 330, c. 277, d. 279, e. 712", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}198{"query": "Problem: 80 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. find the smallest part ?\nOptions: a. 35, b. 32, c. 36, d. 40, e. 52", "pos": "Problem: if 5 and 8 are factors of 60 n, what is the minimum value of n ?\nOptions: a. 2, b. 3, c. 7, d. 14, e. 56", "neg": "Problem: 16 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. find the smallest part ?\nOptions: a. 14, b. 12, c. 11, d. 8, e. 7", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}199{"query": "Problem: the value of (. 02 ) 2 + ( 0.52 ) 2 + ( 0.035 ) 2 / ( 0.002 ) 2 + ( 0.052 ) 2 + ( 0.0035 ) 2\nOptions: a. 100, b. 1000, c.. 001, d.. 0001, e.. 01", "pos": "Problem: find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01 )\nOptions: a. 0.845, b. 0.849, c. 0.842, d. 0.828, e. 0.8419", "neg": "Problem: 0.1 + 0.1 ^ 2 + 0.1 ^ 3 =\nOptions: a. 0.1, b. 0.111, c. 0.1221, d. 0.2341, e. 0.3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}200{"query": "Problem: how much time does a train 160 metres long running at 72 km / hr take to pass a pole ?\nOptions: a. 8 s, b. 2.5 s, c. 7.5 s, d. 7.6 s, e. 7.4 s", "pos": "Problem: in what time will a train 80 m long cross an electric pole, it its speed be 144 km / hr ?\nOptions: a. 2.0 sec, b. 2.8 sec, c. 7.5 sec, d. 2.3 sec, e. 1.5 sec", "neg": "Problem: a train running at the speed of 72 km / hr crosses a pole in 9 seconds. find the length of the train.\nOptions: a. 150 meter, b. 286 meter, c. 180 meter, d. 288 meter, e. 265 meter", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}201{"query": "Problem: a certain company had a total annual expenditure of 1.26 ∗ 10 ^ 7 on employee salaries last year. if the company employed 420 people, what was the average employee salary ?\nOptions: a. $ 20,000, b. $ 25,000, c. $ 35,000, d. $ 30,000, e. $ 45,000", "pos": "Problem: of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,500 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. what is the median annual salary for the 13 employees ?\nOptions: a. 38,000, b. 40,000, c. 42,500, d. 45,500, e. 48,500", "neg": "Problem: the average salary of 20 people in the shipping department at a certain firm is $ 1000. the salary of 10 of the employees is $ 600 each and the salary of 6 of the employees is $ 200 each. what is the average salary of the remaining employees ?\nOptions: a. $ 2500, b. $ 3200, c. $ 4500, d. $ 5000, e. $ 5200", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}202{"query": "Problem: when the positive integer k is divided by the positive integer n, the remainder is 11. if k / n = 61.2, what is the value of n ?\nOptions: a. 9, b. 20, c. 65, d. 70, e. 81", "pos": "Problem: when positive integer n is divided by 7, the remainder is 1. when n is divided by 11, the remainder is 5. what is the smallest positive integer k such that k + n is a multiple of 77 ?\nOptions: a. 2, b. 4, c. 6, d. 8, e. 10", "neg": "Problem: when positive integer n is divided by 3, the remainder is 1. when n is divided by 7, the remainder is 5. what is the smallest positive integer k such that k + n is a multiple of 21 ?\nOptions: a. 2, b. 4, c. 6, d. 8, e. 10", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}203{"query": "Problem: what is the remainder when 3 ^ 25 is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "pos": "Problem: what is the remainder when 3 ^ 33 is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "neg": "Problem: what is the remainder when 3 ^ 26 is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}204{"query": "Problem: two trains of length 100 m and 200 m are 100 m apart. they start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. in how much time will the trains cross each other ?\nOptions: a. 40 / 6, b. 40 / 3, c. 40 / 9, d. 40 / 2, e. 40 / 1", "pos": "Problem: two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet ?\nOptions: a. 22 sec, b. 23 sec, c. 76 sec, d. 20 sec, e. 66 sec", "neg": "Problem: two trains of length 100 m and 200 m are 100.00001 m apart. they start moving towards each other on parallel tracks, at speeds 108 kmph and 72 kmph. in how much time will the trains cross each other ?\nOptions: a. 8, b. 7, c. 9, d. 2, e. 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}205{"query": "Problem: find the smallest 4 - digit number which is a multiple of 112.\nOptions: a. 896, b. 1008, c. 1120, d. 1024, e. none of these", "pos": "Problem: the smallest number which when diminished by 6, is divisible 12, 14, 16, 18 and 22 is :\nOptions: a. 11099, b. 11094, c. 11091, d. 10323, e. 10483", "neg": "Problem: what is the lowest positive integer that is divisible by 4 through 6, inclusive ?\nOptions: a. 120, b. 48, c. 82, d. 76, e. 160", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}206{"query": "Problem: on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 3 for each of the past 5 months. if the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on september 1 than were in stock on january 1 ?\nOptions: a. 8, b. 12, c. 24, d. 32, e. 36", "pos": "Problem: a grocer has a sale of rs. 5420, rs. 5660, rs. 6200, rs. 6350 and rs. 6500 for 5 consecutive months. find the sale he should have in the sixth month, so that he gets an average sale of rs. 6500 ?\nOptions: a. rs. 5870, b. rs. 5991, c. rs. 8870, d. rs. 6850, e. none of these", "neg": "Problem: a bookstore has a shelf that contains biographies which normally sell for $ 20 each and mysteries that normally sell for $ 12 each. during a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $ 19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. if the sum of the discount rates for the two types of books is 30 percent, what is the discount rate on mysteries ?\nOptions: a. 17.18 %, b. 12 %, c. 13 %, d. 14 %, e. 15 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}207{"query": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, the age of the 15 th student is\nOptions: a. 11, b. 15, c. 6, d. 8, e. 76", "pos": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years, the age of the 15 th student is\nOptions: a. 17, b. 12, c. 13, d. 14, e. 15", "neg": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 6 students is 14 years and that of the other 8 students is 16 years. the age of the 15 th student is\nOptions: a. 9 years, b. 13 years, c. 14 years, d. 21 years, e. 25 years", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}208{"query": "Problem: the sale price of a trolley bag including the sale tax is rs. 560. the rate of sale tax is 12 %. if the shopkeeper has made a profit of 25 %, the cost price of the trolley bag is :\nOptions: a. rs 1000, b. rs 900, c. rs 400, d. rs 600, e. none of these", "pos": "Problem: a person incurs a loss of 5 % be selling a watch for rs. 1140. at what price should the watch be sold to earn 5 % profit\nOptions: a. rs. 1200, b. rs. 1230, c. rs. 1260, d. rs. 1290, e. none of these", "neg": "Problem: the sale price of an article including the sales tax is rs. 616. the rate of sales tax is 10 %. if the shopkeeper has made a profit of 14 %, then the cost price of the article is :\nOptions: a. 500, b. 540, c. 555, d. 664, e. 5598", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}209{"query": "Problem: stacy and heather are 40 miles apart and walk towards each other along the same route. stacy walks at constant rate that is 1 mile per hour faster than heather ' s constant rate of 5 miles / hour. if heather starts her journey 24 minutes after stacy, how far from the original destination has heather walked when the two meet ?\nOptions: a. 4 miles, b. 8 miles, c. 17 miles, d. 6 miles, e. 12 miles", "pos": "Problem: fred and sam are standing 55 miles apart and they start walking in a straight line toward each other at the same time. if fred walks at a constant speed of 6 miles per hour and sam walks at a constant speed of 5 miles per hour, how many miles has sam walked when they meet ?\nOptions: a. 5, b. 9, c. 25, d. 30, e. 45", "neg": "Problem: one hour before john started walking from p to q, a distance of 33 miles, ann had started walking along the same road from q to p. ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour. how many miles had ann walked when they met ?\nOptions: a. 6 miles, b. 8,4 miles, c. 9 miles, d. 9,6 miles, e. 21 miles", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}210{"query": "Problem: if a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds ?\nOptions: ['a. 100 km', 'b. 1000 km', 'c. 1 million km', 'd. 1 billion km', 'e. none']", "pos": "Problem: 5005 - 5000 ÷ 10.00 = ?\nOptions: a. 0.5, b. 50, c. 5000, d. 4505, e. none", "neg": "Problem: the mass of 1 cubic meter of a substance is 500 kilograms under certain conditions. what is the volume, in cubic centimeters, of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1, 000,000 cubic centimeters )\nOptions: a. 0.8, b. 1.25, c. 2.0, d. 2.5, e. 80.0", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}211{"query": "Problem: a motorcyclist goes from bombay to pune, a distance of 128 kms at an average of 32 kmph speed. another man starts from bombay by car 2 ½ hours after the first, and reaches pune ½ hour earlier. what is the ratio of the speed of the motorcycle and the car ?\nOptions: a. 1: 3, b. 1: 5, c. 1: 4, d. 1: 1, e. 1: 8", "pos": "Problem: the average speed of a car is 1 4 / 5 times the avg speed of a bike. a tractor covers 575 km in 23 hrs. how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ?\nOptions: a. 300 km, b. 320 km, c. 360 km, d. 390 km, e. 400 km", "neg": "Problem: a motorcyclist goes from bombay to pune, a distance of 160 kms at an average of 32 kmph speed. another man starts from bombay by car 2 ½ hours after the first, and reaches pune ½ hour earlier. what is the ratio of the speed of the motorcycle and the car ?\nOptions: a. 1: 2, b. 2: 5, c. 1: 4, d. 1: 1, e. 1: 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}212{"query": "Problem: a man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?\nOptions: a. 1 kmph, b. 5 kmph, c. 6 kmph, d. 4 kmph, e. 7 kmph", "pos": "Problem: a man can row 6 kmph in still water. when the river is running at 3 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man ?\nOptions: a. 5.75, b. 4.5, c. 5.76, d. 5.74, e. 5.71", "neg": "Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 0.5 kmph, find his average speed for the total journey ?\nOptions: a. 4, b. 3.5, c. 3, d. 3.1, e. 2.8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}213{"query": "Problem: when positive integer x is divided by 11, the quotient is y and the remainder is 4. when 2 x is divided by 5, the quotient is 3 y and the remainder is 4. what is the value of 4 y – x ?\nOptions: a. - 2, b. - 1, c. 0, d. 1, e. 2", "pos": "Problem: if a no. when divided by 44, gives 432 as quotient and 0 as remainder. what will be the remainder when dividing thesame no. by 31\nOptions: a. 2, b. 4, c. 5, d. 7, e. 8", "neg": "Problem: when positive integer x is divided by 11, the quotient is y and the remainder is 4. when 2 x is divided by 8, the quotient is 3 y and the remainder is 1. what is the value of 13 y – x ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}214{"query": "Problem: martin bought 10 concert tickets, some at the full price of $ 2.00 per ticket, and some at a discounted price of $ 1.60 per ticket. if he spent a total of $ 18.40, how many discounted tickets did he buy ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "pos": "Problem: bill made a profit of 10 % by selling a product. if he had purchased that product for 10 % less and sold it at a profit of 30 %, he would have received $ 63 more. what was his original selling price ?\nOptions: a. $ 850, b. $ 990, c. $ 1050, d. $ 1180, e. $ 1340", "neg": "Problem: martin bought 10 concert tickets, some at the full price of $ 2.00 per ticket, and some at a discounted price of $ 1.60 per ticket. if he spent a total of $ 18.80, how many discounted tickets did he buy ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}215{"query": "Problem: the area of a square field is 625 km 2. how long will it take for a horse to run around at the speed of 25 km / h ?\nOptions: a. 12 h, b. 10 h, c. 8 h, d. 4 h, e. none of these", "pos": "Problem: a train running at a speed of 36 kmph crosses an electric pole in 12 seconds. in how much time will it cross a 350 m long platform ?\nOptions: a. 44 sec, b. 49 sec, c. 42 sec, d. 47 sec, e. none of these", "neg": "Problem: a horse is tethered to one corner of a rectangular grassy field 42 m by 26 m with a rope 16 m long. over how much area of the field can it graze ?\nOptions: a. 154 cm 2, b. 308 m 2, c. 201 m 2, d. 205 m 2, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}216{"query": "Problem: how is 3 % expressed as a decimal fraction ?\nOptions: a. 0.3, b. 0.03, c. 0.003, d. 0.0003, e. 3", "pos": "Problem: what is the value of ( 3 ) ^ - 4 ?\nOptions: a. 1 / 4, b. 1 / 81, c. 1 / 65, d. 1 / 9, e. 1 / 3", "neg": "Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.3 for x = 0.9 ?\nOptions: a. − 0.3, b. 0, c. 0.3, d. 1.11, e. 2.46", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}217{"query": "Problem: the cross section of a canal is trapezium in shape. the canal is 12 m wide at the top and 8 m wide at the bottom. if the area of the cross section is 840 sq. m, the depth of the canal is :\nOptions: a. 42 m, b. 84 m, c. 63 m, d. 8.75 m, e. 9.75 m", "pos": "Problem: the cross - section of a cannel is a trapezium in shape. if the cannel is 12 m wide at the top and 2 m wide at the bottom and the area of cross - section is 4200 sq m, the depth of cannel is ?\nOptions: a. 500, b. 600, c. 700, d. 800, e. 900", "neg": "Problem: a cistern 12 m long and 14 m wide contains water up to a depth of 1 m 25 cm. the total area of the wet surface is :\nOptions: a. 224 m 2, b. 250 m 2, c. 220 m 2, d. 230 m 2, e. 233 m 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}218{"query": "Problem: if x / 4 years ago roger was 21 years old and x / 4 years from now he will be 4 x years old, how old will he be 5 x years from now ?\nOptions: a. 32, b. 35, c. 30, d. 40, e. 70", "pos": "Problem: in 1950, richard was 4 times as old as robert. in 1955, richard was 3 times as old as robert. in which year was richard 1.5 times as old as robert ?\nOptions: a. 1960, b. 1965, c. 1970, d. 1975, e. 2000", "neg": "Problem: a person ' s present age is two - fifth of the age of his mother. after 4 years, he will be one - half of the age of his mother. how old is the mother at present ?\nOptions: a. a. 25, b. b. 40, c. c. 20, d. d. 45, e. e. 28", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}219{"query": "Problem: a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5: 3. if he sells the blended variety at rs 21 per kg, then his gain percent is\nOptions: a. 12 %, b. 13 %, c. 14 %, d. 15 %, e. 16 %", "pos": "Problem: in what ratio must tea at rs. 62 per kg be mixed with tea at rs. 72 per kg so that the mixture must be worth rs. 64.50 per kg ?\nOptions: a. 3: 1, b. 2: 1, c. 5: 2, d. 3: 2, e. 3: 4", "neg": "Problem: a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5: 3. if he sells the blended variety at rs 25 per kg, then his gain percent is\nOptions: a. 12 %, b. 33 %, c. 14 %, d. 15 %, e. 16 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}220{"query": "Problem: what should be added to 4872 so that it may become a perfect square ?\nOptions: a. 24, b. 25, c. 26, d. 27, e. 28", "pos": "Problem: which number need to add to 859622 to get a number divisible by 456 ?\nOptions: a. 565771, b. 456578, c. 676885, d. 788090, e. 859622", "neg": "Problem: find the smallest number which should be multiplied with 36963 to make it a perfect square.\nOptions: a. 4, b. 7, c. 4, d. 3, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}221{"query": "Problem: if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 54, then * is equal to :\nOptions: a. - 29, b. - 19, c. 15, d. 29, e. 39", "pos": "Problem: evaluate: 19 + sqrt ( - 2 + 12 ã — 6 ã · 9 ) = ?\nOptions: a. 51, b. 53, c. 55, d. 57, e. 59", "neg": "Problem: for what value of x, is | x – 5 | + | x + 5 | + | x | = 27 ?\nOptions: a. 0, b. 3, c. - 3, d. 9, e. - 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}222{"query": "Problem: if 2 tic equals 3 tacs and 2 tacs equal 7 tocs, what is the ratio of one tic to one toc ?\nOptions: a. 15 / 2, b. 6 / 5, c. 21 / 4, d. 3 / 10, e. 1 / 15", "pos": "Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ?\nOptions: a. 3: 7, b. 1: 3, c. 5: 49, d. 1: 7, e. 3: 49", "neg": "Problem: the simple form of the ratio 7 / 6: 2 / 5 is ?\nOptions: a. 10: 6, b. 10: 3, c. 15: 3, d. 25: 3, e. 35: 12", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}223{"query": "Problem: how many prime numbers are between 29 / 3 and 87 / 6 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "pos": "Problem: how many prime numbers are between 25 / 3 and 84 / 6 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "neg": "Problem: how many prime numbers are between 76 / 8 and 124 / 5 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}224{"query": "Problem: find the greatest number which leaves the same remainder when it divides 25, 57 and 105.\nOptions: a. 18, b. 8, c. 12, d. 16, e. none of these", "pos": "Problem: find the greatest number that will divide 48, 210 and 136 leaving 4, 12 and 4 as remainders respectively\nOptions: a. 19, b. 17, c. 13, d. 22, e. 21", "neg": "Problem: find the greatest number which leaves the same remainder when it divides 16, 46 and 82.\nOptions: a. 18, b. 8, c. 12, d. 16, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}225{"query": "Problem: find large no. from below question the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder\nOptions: a. 1235, b. 1456, c. 1567, d. 1678, e. 1635", "pos": "Problem: find large number from below question the difference of two numbers is 1355. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder\nOptions: a. 1235, b. 1345, c. 1678, d. 1767, e. 1623", "neg": "Problem: find large number from below question the difference of two numbers is 1311. on dividing the larger number by the smaller, we get 11 as quotient and the 11 as remainder\nOptions: a. 1209, b. 1324, c. 1441, d. 1300, e. 1635", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}226{"query": "Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business. by the end of the week she had sold 50 % more recliners. what is the percentage increase of the gross ?\nOptions: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 50 %", "pos": "Problem: if a store owner increases a product ’ s price by 20 percent and then increases this price by another 15 percent, what percent of the original price is the total price increase ?\nOptions: a. 20 %, b. 35 %, c. 38 %, d. 65 %, e. 135 %", "neg": "Problem: when the price of a product was decreased by 20 %, the number sold increased by 60 %. what was the effect on the total revenue ?\nOptions: a. 28 %, b. 32 %, c. 35 %, d. 45 %, e. 52 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}227{"query": "Problem: 108 ã — 108 + 92 ã — 92 = ?\nOptions: a. 20120, b. 11500, c. 20128, d. 20660, e. 20228", "pos": "Problem: - 45 * 29 + 108 = ?\nOptions: a. 1197, b. 1897, c. - 1197, d. - 1900, e. none of these", "neg": "Problem: 102 ã — 102 + 98 ã — 98 = ?\nOptions: a. 20018, b. 20028, c. 20108, d. 10008, e. 20008", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}228{"query": "Problem: 7.515 / 10.02 =\nOptions: a. 0.35, b. 0.3505, c. 0.3509, d. 0.351, e. 0.75", "pos": "Problem: 5.005 / 4.004 =\nOptions: a. 1.05, b. 1.50015, c. 1.501, d. 1.5015, e. 1.25", "neg": "Problem: 5.511 / 10.02 =\nOptions: a. 0.35, b. 0.55, c. 0.3509, d. 0.351, e. 0.3527", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}229{"query": "Problem: 1 - 1 - 1 - 1 - 1 - 1 do any operations between the numbers to make the sum as 37 ?\nOptions: a. 34, b. 35, c. 36, d. 37, e. 38", "pos": "Problem: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9\nOptions: a. 7, b. 8, c. 9, d. 0, e. 1", "neg": "Problem: the sum of two consecutive numbers is 37. what are they ?\nOptions: a. 18 and 19, b. 18 and 21, c. 18 and 23, d. 19 and 20, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}230{"query": "Problem: 150 college students were asked in a survey if they preferred windows or mac brand computers. 40 students claimed that they preferred mac to windows brand computers. one third as many of the students who preferred mac to windows, equally preferred both brands. 40 of the students had no preference. how many of the students in the survey preferred windows to mac brand computers ?\nOptions: a. 25, b. 40, c. 70, d. 60, e. 75", "pos": "Problem: there are 15 boys and 10 girls in a class. if three students are selected at random, in how many ways that 1 girl or 2 boys are selected ?\nOptions: a. 100, b. 105, c. 115, d. 120, e. 125", "neg": "Problem: 210 students were asked in a survey if they preferred windows or mac brand computers. 60 students claimed that they preferred mac to windows brand computers. one third as many of the students who preferred mac to windows, equally preferred both brands. 90 of the students had no preference. how many of the students in the survey preferred windows to mac brand computers ?\nOptions: a. 25, b. 40, c. 50, d. 60, e. 75", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}231{"query": "Problem: two trains of equal length are running on parallel lines in the same directions at 46 km / hr. and 36 km / hr. the faster trains pass the slower train in 18 seconds. the length of each train is :\nOptions: a. 25 m, b. 50 m, c. 72 m, d. 80 m, e. none of these", "pos": "Problem: two trains of equal are running on parallel lines in the same direction at 48 km / hr and 36 km / hr. the faster train passes the slower train in 36 sec. the length of each train is ?\nOptions: a. 60 m, b. 72 m, c. 80 m, d. 82 m, e. 84 m", "neg": "Problem: two trains of equal length are running on parallel lines in the same directions at 46 km / hr. and 36 km / hr. the faster trains pass the slower train in 72 seconds. the length of each train is :\nOptions: a. 82 m, b. 50 m, c. 72 m, d. 100 m, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}232{"query": "Problem: what is the area of a square field whose sides have a length of 11 meters ?\nOptions: a. 225 sq m, b. 205 sq m, c. 121 sq m, d. 167 sq m, e. 156 sq m", "pos": "Problem: a rectangular field has a length 10 meters more than it is width. if the area of the field is 119, what is the length ( in meters ) of the rectangular field ?\nOptions: a. 13, b. 15, c. 17, d. 19, e. 21", "neg": "Problem: what is the square root of 121 ?\nOptions: a. 11, b. 12, c. 16, d. 18, e. 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}233{"query": "Problem: what is the unit digit of ( 6 ! * 3 ! / 3 ! * 4 ! ) ?\nOptions: a. 5, b. 6, c. 0, d. 3, e. 4", "pos": "Problem: what is the units digit of ( 5 ! * 4 ! + 6 ! * 5 ! ) / 2 ?\nOptions: a. 4, b. 3, c. 0, d. 1, e. 2", "neg": "Problem: what is the units digit of ( 6 ! * 4 ! + 6 ! * 5 ! ) / 12 ?\nOptions: a. 0, b. 3, c. 2, d. 1, e. 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}234{"query": "Problem: in the coordinate plane, points ( x, 2 ) and ( 4, y ) are on line k. if line k passes through the origin and has slope 1 / 4, then x - y =\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "pos": "Problem: find the value of x: 2 x ² − 4.\nOptions: a. 0,2, b. - 2,2, c. - 2,1, d. 0,4, e. - 1,4", "neg": "Problem: in the xy - coordinate system, if ( m, n ) and ( m + 2, n + k ) are two points on the line perpendicular to x = 2 y + 5, then k = ?\nOptions: a. - 5, b. - 8, c. 2, d. - 4, e. 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}235{"query": "Problem: 275 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees\nOptions: a. 11, b. 12, c. 14, d. 16, e. 17", "pos": "Problem: 225 mtrs long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "neg": "Problem: in a garden, 26 trees are planted at equal distances along a yard 700 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees ?\nOptions: a. 10, b. 28, c. 12, d. 14, e. 16", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}236{"query": "Problem: a group of boy scouts and girls scouts is going on a rafting trip. 60 % of the scouts arrived with signed permission slips. if 45 % of the scouts were boy scouts and 50 % of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent.\nOptions: a. 64, b. 68, c. 72, d. 76, e. 80", "pos": "Problem: the ratio of boys to girls is 6: 4.60 % of the boys and 40 % of girls take lunch in the canteen. what % of class takes lunch ?\nOptions: a. 51 %, b. 52 %, c. 53 %, d. 54 %, e. 55 %", "neg": "Problem: a group of boy scouts and girls scouts is going on a rafting trip. 70 % of the scouts arrived with signed permission slips. if 60 % of the scouts were boy scouts and 75 % of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent.\nOptions: a. 50 %, b. 60 %, c. 63 %, d. 66 %, e. 70 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}237{"query": "Problem: the length of the bridge, which a train 155 metres long and travelling at 45 km / hr can cross in 30 seconds, is ?\nOptions: a. 76 m, b. 178 m, c. 220 m, d. 187 m, e. 176 m", "pos": "Problem: the length of the bridge, which a train 150 metres long and travelling at 54 km / hr can cross in 30 seconds, is ?\nOptions: a. 340 m., b. 350 m., c. 320 m., d. 330 m., e. 360 m.", "neg": "Problem: the length of the bridge, which a train 160 m long and traveling at 45 km / hr can cross in 30 sec is ?\nOptions: a. 377, b. 367, c. 237, d. 215, e. 267", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}238{"query": "Problem: the shopkeeper sale, all of the prices of the items sold were different. if the price of a radio sold at the shopkeeper sale was both the 9 th highest price and the 14 th lowest price among the prices of the items sold, how many items were sold at the shopkeeper sale ?\nOptions: a. 23, b. 22, c. 32, d. 26, e. 17", "pos": "Problem: fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans: 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 22 percent, what is the discount rate on pony jeans ?\nOptions: a. 9 %, b. 10 %, c. 11 %, d. 12 %, e. 13 %", "neg": "Problem: at garage sale, all of the prices of the items sold were different. if the price of a radio sold at the garage sale was both the 9 th highest price and the 35 th lowest price among the prices of the items sold, how many items were sold at the garage sale ?\nOptions: a. 43, b. 28, c. 44, d. 49, e. 46", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}239{"query": "Problem: find the value of 2 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]\nOptions: a. 800, b. 500, c. 900, d. 1600, e. none", "pos": "Problem: what is the value of 100 p 2 ?\nOptions: a. 9801, b. 12000, c. 5600, d. 9900, e. none of these", "neg": "Problem: the value of 3.6 x 0.48 x 2.50 / 0.12 x 0.09 x 0.5 is\nOptions: a. 80, b. 800, c. 8000, d. 80000, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}240{"query": "Problem: 20 is subtracted from 80 % of a number, the result is 60. find the number ?\nOptions: a. 150, b. 997, c. 100, d. 288, e. 271", "pos": "Problem: 20 % of a number is more than 30 % of 120 by 80. find the number ?\nOptions: a. 520, b. 560, c. 580, d. 620, e. 610", "neg": "Problem: when 1 / 20 % of 8,000 is subtracted from 1 / 10 of 8,000, the difference is\nOptions: a. 50, b. 200, c. 380, d. 798, e. 400", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}241{"query": "Problem: a rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. find the cost of gravelling the path at 40 paise per sq. metre\nOptions: a. s 340, b. s 780, c. s 880, d. s 480, e. s 980", "pos": "Problem: a rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. find the cost of gravelling the path at 70 paise per sq. metre\nOptions: a. s 595, b. s 780, c. s 880, d. s 480, e. s 980", "neg": "Problem: what will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of rs. 10 per square meter ?\nOptions: ['a. rs. 3430', 'b. rs. 3440', 'c. rs. 3450', 'd. rs. 3460', 'e. rs. 3490']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}242{"query": "Problem: there are 280 doctors and nurses at a hospital. if the ratio of doctors to nurses is 5 to 9, how many nurses are at the hospital ?\nOptions: a. 165, b. 170, c. 175, d. 180, e. 185", "pos": "Problem: a small college reduced its faculty by approximately 15 percent to 195 professors. what was the original number of faculty members ?\nOptions: a. 182, b. 208, c. 224, d. 229, e. 302", "neg": "Problem: there are 250 doctors and nurses at a hospital. if the ratio of doctors to nurses is 2 to 3, how many nurses are at the hospital ?\nOptions: a. 134, b. 138, c. 142, d. 146, e. 150", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}243{"query": "Problem: a man sells a car to his friend at 10 % loss. if the friend sells it for rs. 54000 and gains 20 %, the original c. p. of the car was :\nOptions: a. rs. 25000, b. rs. 37500, c. rs. 50000, d. rs. 60000, e. none of these", "pos": "Problem: a person incurs a loss of 5 % be selling a watch for rs. 1140. at what price should the watch be sold to earn 5 % profit\nOptions: a. rs. 1200, b. rs. 1230, c. rs. 1260, d. rs. 1290, e. none of these", "neg": "Problem: a man buys a cycle for rs. 1400 and sells it at a loss of 10 %. what is the selling price of the cycle ?\nOptions: a. rs. 1090, b. rs. 1160, c. rs. 1190, d. rs. 1202, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}244{"query": "Problem: addison high school ’ s senior class has 160 boys and 200 girls. if 75 % of the boys and 84 % of the girls plan to attend college, what percentage of the total class plan to attend college ?\nOptions: a. 75, b. 79.5, c. 80, d. 83.5, e. 84", "pos": "Problem: a high school has 400 students 1 / 2 attend the airthmetic club, 5 / 8 attend the biology club and 3 / 4 attend the chemistry club. 1 / 8 attend all 3 clubs. if every student attends at least one club how many students attend exactly 2 clubs.\nOptions: a. 300, b. 200, c. 250, d. 150, e. 160", "neg": "Problem: the sum of number of boys and girls in a school is 1150. if the number of boys is x, then the number of girls becomes x % of the total number of students. the number of boys is ?\nOptions: a. 50, b. 40, c. 60, d. 92, e. 70", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}245{"query": "Problem: jim ’ s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled. what is the total charge for a trip of 3.6 miles ?\nOptions: a. $ 3.15, b. $ 4.45, c. $ 4.80, d. $ 5.05, e. $ 5.40", "pos": "Problem: in a fuel station the service costs $ 2.10 per vehicle and every liter of fuel costs $ 0.60. assuming that you fill up 3 mini - vans and 2 trucks, what will be the total cost, if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ?\nOptions: a. $ 287.50, b. $ 290.40, c. $ 293.30, d. $ 296.20, e. $ 299.10", "neg": "Problem: jim â € ™ s taxi service charges an initial fee of $ 2.5 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled. what is the total charge for a trip of 3.6 miles ?\nOptions: a. $ 3.15, b. $ 4.45, c. $ 4.80, d. $ 5.65, e. $ 5.40", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}246{"query": "Problem: 5.005 / 4.004 =\nOptions: a. 1.05, b. 1.50015, c. 1.501, d. 1.5015, e. 1.25", "pos": "Problem: 7.515 / 10.02 =\nOptions: a. 0.35, b. 0.3505, c. 0.3509, d. 0.351, e. 0.75", "neg": "Problem: 5.511 / 10.02 =\nOptions: a. 0.35, b. 0.55, c. 0.3509, d. 0.351, e. 0.3527", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}247{"query": "Problem: if a ( a + 7 ) = 60 and b ( b + 7 ) = 60, where a ≠ b, then a + b =\nOptions: a. − 7, b. − 2, c. 2, d. 46, e. 48", "pos": "Problem: there are two positive numbers in the ratio 2: 7. if the larger number exceeds the smaller by 30, then find the larger number ?\nOptions: a. 42, b. 38, c. 44, d. 36, e. 46", "neg": "Problem: the sum of the present ages of two persons a and b is 60. if the age of a is twice that of b, find the sum of their ages 7 years hence ?\nOptions: a. 22, b. 77, c. 74, d. 98, e. 71", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}248{"query": "Problem: find the probability that the number drawn is a multiple of 6 and 8.\nOptions: a. 3 / 50, b. 2 / 25, c. 1 / 50, d. 1 / 25, e. 4 / 25", "pos": "Problem: find the probability that the number drawn is a factor of 50.\nOptions: a. 1 / 25, b. 1 / 50, c. 3 / 25, d. 3 / 50, e. 7 / 50", "neg": "Problem: a bag contains 5 green and 8 white balls. if two balls are drawn simultaneously, the probability that both are of the same colour is\nOptions: a. 8 / 15, b. 2 / 5, c. 3 / 5, d. 11 / 15, e. 19 / 39", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}249{"query": "Problem: the average age of 36 students in a group is 18 years. when teacher ' s age is included to it, the average increases by one. what is the teacher ' s age in years ?\nOptions: a. 35 years, b. 55 years, c. 51 years, d. 54 years, e. none of these", "pos": "Problem: the average age of 50 students in a class is 14 years. if the age of teacher is also included, the average becomes 15 years, find the age of the teacher.\nOptions: a. 30, b. 65, c. 60, d. 55, e. 56", "neg": "Problem: the average age of 28 students in a group is 12 years. when teacher â € ™ s age is included to it, the average increases by one. what is the teacher â € ™ s age in years ?\nOptions: a. 31, b. 36, c. 41, d. 51, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}250{"query": "Problem: fred and sam are standing 55 miles apart and they start walking in a straight line toward each other at the same time. if fred walks at a constant speed of 6 miles per hour and sam walks at a constant speed of 5 miles per hour, how many miles has sam walked when they meet ?\nOptions: a. 5, b. 9, c. 25, d. 30, e. 45", "pos": "Problem: stacy and heather are 40 miles apart and walk towards each other along the same route. stacy walks at constant rate that is 1 mile per hour faster than heather ' s constant rate of 5 miles / hour. if heather starts her journey 24 minutes after stacy, how far from the original destination has heather walked when the two meet ?\nOptions: a. 4 miles, b. 8 miles, c. 17 miles, d. 6 miles, e. 12 miles", "neg": "Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 65 kilometers, maxwell ' s walking speed is 2 km / h, and brad ' s running speed is 3 km / h. what is the distance traveled by maxwell when they meet in the middle ?\nOptions: a. 25, b. 23, c. 22, d. 24, e. 26", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}251{"query": "Problem: an association of mathematics teachers has 1,260 members. only 525 of these members cast votes in the election for president of the association. what percent of the total membership voted for the winning candidate if the winning candidate received 65 percent of the votes cast ?\nOptions: a. 75 %, b. 58 %, c. 42 %, d. 27.08 %, e. 25 %", "pos": "Problem: in a recent election, geoff received 0.5 percent of the 6,000 votes cast. to win the election, a candidate needed to receive more than x % of the vote. if geoff needed exactly 3,571 more votes to win the election, what is the value of x ?\nOptions: a. 50, b. 54, c. 56, d. 60, e. 63", "neg": "Problem: an association of mathematics teachers has 1,260 members. only 560 of these members cast votes in the election for president of the association. what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast ?\nOptions: a. 75 %, b. 26.67 %, c. 42 %, d. 34 %, e. 25 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}252{"query": "Problem: what is the remainder of ( 3682 * 3684 * 3686 ) divided by 19 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "pos": "Problem: if z is a multiple of 8778, what is the remainder when z ^ 2 is divided by 9 ?\nOptions: a. 0, b. 2, c. 4, d. 6, e. 8", "neg": "Problem: what will be the remainder when 13 ^ 36 is divided by 2196 ?\nOptions: a. 0, b. 1, c. 12, d. 2195, e. 5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}253{"query": "Problem: a can do a work in 24 days and b can do it in 12 days. in how many days a and b can do the work ?\nOptions: a. 20 days, b. 10 days, c. 6 days, d. 5 days, e. 8 days", "pos": "Problem: x can finish a work in 24 days. y can finish the same work in 16 days. yworked for 10 days and left the job. how many days does x alone need to finish the remaining work ?\nOptions: a. 3, b. 5, c. 6, d. 8, e. 9", "neg": "Problem: a and b together can complete a work in 12 days. a alone complete it in 20 days. if b does the work only for half a day daily, then in how many days a and b together will complete the work ?\nOptions: a. 110 days, b. 11 days, c. 15 days, d. 20 days, e. 17 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}254{"query": "Problem: a prize of $ 1200 is to be distributed among 40 winners, each of whom must be awarded at least $ 40. if 2 / 5 of the prize will be distributed to 3 / 5 of the winners, what is the greatest possible individual award ?\nOptions: a. $ 100, b. $ 120, c. $ 280, d. $ 300, e. $ 360", "pos": "Problem: in a company the manager wants to give some gifts to all of the workers. in each block there are about 100 workers are there. the total amount for giving the gifts for all the workers is $ 4000. the worth of the gift is $ 4. how many blocks are there in the company ?\nOptions: a. 12, b. 10, c. 15, d. 17, e. 20", "neg": "Problem: a sum of money is to be distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets $ 500 more than d, what is c ' s share ?\nOptions: a. $ 1200, b. $ 1600, c. $ 1800, d. $ 2000, e. $ 2400", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}255{"query": "Problem: the profits of qrs company rose 20 % from march to april, then dropped 20 % from april to may, then rose 50 % from may to june. what was the percent increase for the whole quarter, from march to june ?\nOptions: a. 15 %, b. 32 %, c. 44 %, d. 62 %, e. 80 %", "pos": "Problem: the profits of qrs company rose 30 % from march to april, then dropped 20 % from april to may, then rose 50 % from may to june. what was the percent increase for the whole quarter, from march to june ?\nOptions: a. 15 %, b. 32 %, c. 56 %, d. 62 %, e. 80 %", "neg": "Problem: robert ' s salary was decreased by 20 % and subsequently increased by 20 %. how much percentage does he lose ?\nOptions: a. 4 %, b. 20 %, c. 25 %, d. 30 %, e. 50 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}256{"query": "Problem: if the speed of a man is 63 km per hour, then what is the distance traveled by him in 25 seconds ?\nOptions: a. 275 m, b. 360 m, c. 375 m, d. 437.5 m, e. 440 m", "pos": "Problem: how many seconds will a train 150 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?\nOptions: a. 28 sec, b. 23 sec, c. 29 sec, d. 30 sec, e. 36 sec", "neg": "Problem: a person is traveling at 75 km / hr and reached his destiny in 4 hr then find the distance ?\nOptions: a. 300 km, b. 200 km, c. 250 km, d. 400 km, e. 220 km", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}257{"query": "Problem: john purchased some shirts and trousers for $ 700. he paid $ 400 less for the shirts than he did for the trousers. if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser, how many trousers did he buy ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 11", "pos": "Problem: little john had $ 7.10. he spent $ 1.05 on sweets and gave to his two friends $ 1.00 each. how much money was left ?\nOptions: a. $ 4.85, b. $ 4.15, c. $ 4.65, d. $ 4.55, e. $ 4.05", "neg": "Problem: the price of 3 pants and 6 t - shirts is rs. 750. with the same money one can buy 1 pant and 12 t - shirts. if one wants to buy 8 t - shirts, how much shall she have to pay ?\nOptions: a. 150, b. 250, c. 400, d. 450, e. 550", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}258{"query": "Problem: if a sum of money doubles itself in 10 years at simple interest, the ratepercent per annum is\nOptions: a. 10, b. 12.5, c. 13, d. 13.5, e. 14", "pos": "Problem: the simple interest on a sum of money will be rs. 1400 after 10 years. if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?\nOptions: a. 2800, b. 3799, c. 1200, d. 2693, e. 1732", "neg": "Problem: if a sum of money doubles itself in 20 years at simple interest, the ratepercent per annum is\nOptions: a. 12, b. 12.5, c. 13, d. 5, e. 14", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}259{"query": "Problem: a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. if they will go up the mountain at a rate of 7 miles per day and it will take them two days, how many miles long is the route down the mountain ?\nOptions: a. 18, b. 19, c. 20, d. 21, e. 22", "pos": "Problem: hillary and eddy are climbing to the summit of mt. everest from a base camp 4,900 ft from the summit. when they depart for the summit at 06: 00, hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr. if hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft / hr, at what time do hillary and eddy pass each other on her return trip ?\nOptions: a. 10.0, b. 11.0, c. 13.0, d. 12.0, e. 14.0", "neg": "Problem: a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. if they will go up the mountain at a rate of 6 miles per day and it will take them two days, how many miles long is the route down the mountain ?\nOptions: a. 16, b. 17, c. 18, d. 19, e. 20", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}260{"query": "Problem: of the goose eggs laid at a certain pond, 1 / 4 hatched and 4 / 5 of the geese that hatched from those eggs survived the first month. of the geese that survived the first month, 3 / 5 did not survive the first year. if 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond ?\nOptions: a. 1200, b. 1300, c. 1400, d. 1500, e. 1600", "pos": "Problem: in a park there are two ponds with both brown ducks and green ducks. in the smaller pond there are 45 ducks and in the larger pond there are 55 ducks. if 20 % of the ducks in the smaller pond are green and 40 % of the ducks in the larger pond are green, then what percentage of ducks are green ?\nOptions: a. 25 %, b. 27 %, c. 29 %, d. 31 %, e. 33 %", "neg": "Problem: in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 10. for a group of 150 newborn members of the population, approximately how many would be expected to survive the first 3 months of life ?\nOptions: a. 110, b. 146, c. 152, d. 162, e. 170", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}261{"query": "Problem: 2.08 can be expressed in terms of percentage as\nOptions: a. 2.08 %, b. 20.8 %, c. 208 %, d. 0.208 %, e. none of these", "pos": "Problem: 3.20 can be expressed in terms of percentage as\nOptions: a. 3.20 %, b. 30.2 %, c. 320.00 %, d. 0.320 %, e. none of these", "neg": "Problem: 0.0008 ? = 0.02\nOptions: a. 40, b. 4, c. 0.4, d. none of these, e. 0.04", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}262{"query": "Problem: the population of a town is 8000. it decreases annually at the rate of 30 % p. a. what will be its population after 2 years ?\nOptions: a. 3920, b. 5120, c. 5200, d. 5400, e. 5500", "pos": "Problem: the population of a town is 8000. it decreases annually at the rate of 10 % p. a. what was its population 2 years ago ?\nOptions: a. 9876, b. 8000, c. 8500, d. 9500, e. 10000", "neg": "Problem: the population of a city is 415600. it increased by 25 % in the first year and decreased by 30 % in the second year. what is the population of the city at the end of second year ?\nOptions: a. 367300, b. 363580, c. 363650, d. 373650, e. 386750", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}263{"query": "Problem: a hall is 15 meters long and 10 meters wide. if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall ( in cubic meters ) ?\nOptions: a. 600, b. 700, c. 800, d. 900, e. 1000", "pos": "Problem: a hall is 15 meters long and 15 meters wide. if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall ( in cubic meters ) ?\nOptions: a. 975.5, b. 1250.5, c. 1465.5, d. 1687.5, e. 1824.5", "neg": "Problem: find the area of a cuboid of length 15 cm, breadth 10 cm. and height 16 cm.\nOptions: a. 2400 cm cube, b. 2410 cm cube, c. 2420 cm cube, d. 2430 cm cube, e. 2480 cm cube", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}264{"query": "Problem: a basketball team composed of 12 players scored 100 points in a particular contest. if none of the individual players scored fewer than 7 points, what is the greatest number of points e that an individual player might have scored ?\nOptions: a. 7, b. 13, c. 16, d. 21, e. 23", "pos": "Problem: if 7 ^ q is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of q ?\nOptions: a. 12, b. 13, c. 14, d. 15, e. 16", "neg": "Problem: after 6 games, team b had an average of 70 points per game. if it got only 47 points in game 7, how many more points does it need to score to get its total above 500 ?\nOptions: a. 85, b. 74, c. 67, d. 33, e. 28", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}265{"query": "Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70. in what year could a female employee hired in 1990 on her 32 nd birthday first be eligible to retire under this provision ?\nOptions: a. 2003, b. 2009, c. 2005, d. 2006, e. 2007", "pos": "Problem: an employee ’ s annual salary was increased $ 5,000. if her new annual salary now equals $ 70,000, what was the percent increase ?\nOptions: a. 15 %, b. 0.77 %, c. 20 %, d. 22 %, e. 24 %", "neg": "Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70. in what year could a female employee hired in 1986 on her 30 nd birthday first be eligible to retire under this provision ?\nOptions: a. 2003, b. 2004, c. 2005, d. 2006, e. 2007", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}266{"query": "Problem: the average age of 17 persons in a office is 15 years. out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. the age of the 15 th person is ?\nOptions: a. 39, b. 41, c. 45, d. 42, e. 50", "pos": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 6 students is 14 years and that of the other 8 students is 16 years. the age of the 15 th student is\nOptions: a. 9 years, b. 13 years, c. 14 years, d. 21 years, e. 25 years", "neg": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 3 students is 14 years and that of the other 11 students is 16 years. the age of the 15 th student is\nOptions: a. 9 years, b. 11 years, c. 14 years, d. 7 years, e. 25 years", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}267{"query": "Problem: ajay can ride 50 km in 1 hour. in how many hours he can ride 1500 km ?\nOptions: a. 30 hrs, b. 15 hrs, c. 20 hrs, d. 25 hrs, e. 18 hrs", "pos": "Problem: if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 50 more miles than he actually did. how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day ?\nOptions: a. 100, b. 120, c. 140, d. 150, e. 160", "neg": "Problem: ajay can ride 50 km in 1 hour. in how many hours he can ride 1000 km ?\nOptions: a. 10 hrs, b. 15 hrs, c. 20 hrs, d. 25 hrs, e. 18 hrs", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}268{"query": "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung. if each side of the mirror is 54 inches and the width of the wall is 68 inches, what is the length of the wall, in inches ?\nOptions: ['a. 25.7', 'b. 72.7', 'c. 70.7', 'd. 85.7', 'e. 56.7']", "pos": "Problem: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. through how many of the squares does a diagonal of the rectangle pass ?\nOptions: ['a. 6', 'b. 8', 'c. 10', 'd. 12', 'e. 16']", "neg": "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung. if each side of the mirror is 21 inches and the width of the wall is 28 inches, what is the length of the wall, in inches ?\nOptions: a. 21.5, b. 31.5, c. 41.5, d. 61.5, e. 71.5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}269{"query": "Problem: fresh grapes contain 80 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight. how many kgs of fresh grapes are needed to get 40 kgs of raisins ?\nOptions: a. 150 kgs, b. 64 kgs, c. 72 kgs, d. 65 kgs, e. 70 kgs", "pos": "Problem: a mixture of 70 litres of milk and water contains 10 % water. how many litres of water should be added to the mixture so that the mixture contains 12 1 / 2 % water ?\nOptions: a. 2, b. 8, c. 6, d. 3, e. 4", "neg": "Problem: if 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 20 percent grape juice then what percent of the resulting mixture is grape juice ?\nOptions: a. 14 %, b. 25 %, c. 28 %, d. 36 %, e. 50 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}270{"query": "Problem: a is twice as good a work man as b and together they finish the work in 4 days. in how many days a alone can finish the work ?\nOptions: a. 3, b. 2, c. 7, d. 9, e. 6", "pos": "Problem: a is twice as good a workman as b and together they complete a work in 12 days. in how many days a alone can do the work ?\nOptions: a. 32, b. 33, c. 34, d. 35, e. 36", "neg": "Problem: a is twice as good a workman as b and they took 6 days together to do the work b alone can do it in.\nOptions: a. 18 days, b. 12 days, c. 29 days, d. 25 days, e. 27 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}271{"query": "Problem: if p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3 ^ k is a factor of p ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "pos": "Problem: if p is the product of the integers from 1 to 32, inclusive, what is the greatest integer k for which 3 ^ k is a factor of p ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "neg": "Problem: what is the greatest positive integer e such that 3 ^ e is a factor of 9 ^ 10 ?\nOptions: a. e = 5, b. e = 9, c. e = 10, d. e = 20, e. 30", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}272{"query": "Problem: the membership of a committee consists of 3 english teachers, 4 mathematics teachers, and 2 social studies teachers. if 2 committee members are to be selected at random to write the committee ’ s report, what is the probability that the two members selected will both be english teachers ?\nOptions: a. 2 / 3, b. 1 / 3, c. 2 / 9, d. 1 / 12, e. 1 / 24", "pos": "Problem: two mba admissions committees are to be formed randomly from 6 second year mbas with 3 members each. what is the probability that jane will be on the same committee as albert ?\nOptions: a. 12 %, b. 20 %, c. 33 %, d. 40 %, e. 50 %", "neg": "Problem: jack and jill work at a hospital with 7 other workers. for an internal review, 2 of the 9 workers will be randomly chosen to be interviewed. what is the probability that jack and jill will both be chosen ?\nOptions: a. 1 / 3, b. 1 / 4, c. 1 / 15, d. 3 / 8, e. 1 / 36", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}273{"query": "Problem: a woman swims downstream 45 km and upstream 15 km taking 3 hours each time, what is the speed of the woman in still water ?\nOptions: a. 10, b. 12, c. 14, d. 16, e. 18", "pos": "Problem: a person can swim in still water at 12 km / h. if the speed of water 10 km / h, how many hours will the man take to swim back against the current for 8 km ?\nOptions: a. 4, b. 7, c. 5, d. 9, e. 6", "neg": "Problem: a man swims downstream 42 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water ?\nOptions: a. 2, b. 8, c. 9, d. 6, e. 10", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}274{"query": "Problem: in order to obtain an income of rs. 1000 from 50 % stock at rs. 500, one must make an investment of\nOptions: a. rs. 17000, b. rs. 16050, c. rs. 15400, d. rs. 10000, e. rs. 10500", "pos": "Problem: by investing in 1623 % stock at 64, one earns rs. 1500. the investment made is\nOptions: a. rs. 9600, b. rs. 7500, c. rs. 5640, d. rs. 5760, e. rs. 6760", "neg": "Problem: to produce an annual income of rs. 1200 from a 15 % stock at 90, the amount of stock needed is :\nOptions: a. s. 10,000, b. s. 10,800, c. s. 14,400, d. s. 16,000, e. s. 46,000", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}275{"query": "Problem: jack and jill are marathon runners. jack can finish a marathon ( 40 km ) in 4.5 hours and jill can run a marathon in 4.0 hours. what is the ratio of their average running speed ? ( jack: jill )\nOptions: a. 14 / 15, b. 15 / 14, c. 8 / 9, d. 5 / 4, e. can not be determined", "pos": "Problem: jack and jill are marathon runners. jack can finish a marathon ( 42 km ) in 7 hours and jill can run a marathon in 4.2 hours. what is the ratio of their average running speed ? ( jack: jill )\nOptions: a. 14 / 15, b. 15 / 14, c. 5 / 5, d. 5 / 4, e. can not be determined", "neg": "Problem: john and steve are speed walkers in a race. john is 14 meters behind steve when he begins his final push. john blazes to the finish at a pace of 4.2 m / s, while steve maintains a blistering 3.7 m / s speed. if john finishes the race 2 meters ahead of steve, how long was john ’ s final push ?\nOptions: a. 13 seconds, b. 17 seconds, c. 26 seconds, d. 32 seconds, e. 51 seconds", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}276{"query": "Problem: a snooker tournament charges $ 45.00 for vip seats and $ 15.00 for general admission ( “ regular ” seats ). on a certain night, a total of 300 tickets were sold, for a total cost of $ 7,500. how many fewer tickets were sold that night for vip seats than for general admission seats ?\nOptions: a. 212, b. 240, c. 220, d. 230, e. 225", "pos": "Problem: a sports equipment store sold ping pong rackets for a total of $ 637. if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8, how many pairs were sold ?\nOptions: a. 50, b. 100, c. 65, d. 500, e. 980", "neg": "Problem: a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( “ regular ” seats ). on a certain night, a total of 320 tickets were sold, for a total cost of $ 7500. how many fewer tickets were sold that night for vip seats than for general admission seats ?\nOptions: a. 200, b. 276, c. 230, d. 240, e. 250", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}277{"query": "Problem: the length of a rectangular floor is more than its breadth by 100 %. if rs. 600 is required to paint the floor at the rate of rs. 3 per sq m, then what would be the length of the floor ?\nOptions: a. 15.0 m., b. 14.4 m., c. 12.0 m., d. 16.2 m., e. 16.5 m.", "pos": "Problem: the length of a rectangular floor is more than its breadth by 200 %. if rs. 300 is required to paint the floor at the rate of rs. 5 per sq m, then what would be the length of the floor ?\nOptions: a. 65, b. 13.42, c. 18, d. 16, e. 14", "neg": "Problem: the length of a rectangular floor is more than its breadth by 200 %. if rs. 240 is required to paint the floor at the rate of rs. 3 per sq m, then what would be the length of the floor ?\nOptions: a. 65, b. 44, c. 18, d. 15.49, e. 14", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}278{"query": "Problem: 5 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 3553, how much was it in the beginning ?\nOptions: a. 2988, b. 2776, c. 4400, d. 4675, e. 881", "pos": "Problem: a man started driving at a constant speed, from the site of a blast, the moment he heard the blast. he heard a second blast after a time of 30 mins and 15 seconds. if the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )\nOptions: a. 1650, b. 2750, c. 3850, d. 4950, e. 6050", "neg": "Problem: 10 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 4554, how much was it in the beginning ?\nOptions: a. 7349, b. 6300, c. 6325, d. 6939, e. 2989", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}279{"query": "Problem: what is the sum of the odd integers from 35 to 55, inclusive ?\nOptions: a. 495, b. 550, c. 555, d. 600, e. 605", "pos": "Problem: what is the sum of natural numbers between 30 and 100\nOptions: a. 4615, b. 4860, c. 5000, d. 5500, e. 5550", "neg": "Problem: what is the sum of the odd integers from 55 to 75, inclusive ?\nOptions: a. 495, b. 550, c. 555, d. 600, e. 715", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}280{"query": "Problem: every monday, marina eats one croissant and every tuesday she eats two croissants. on each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than 4 croissants on any particular day, the next day she will eat only one croissant. at the end of the week ( which runs from monday through sunday ), the cycle resets, and marina goes back to eating one croissant on monday, two on tuesday, and so forth. if a particular month begins on a saturday, how many croissants will marina eat on the 30 th of that month ?\nOptions: a. 1, b. 2, c. 3, d. 5, e. 6", "pos": "Problem: anne bought doughnuts for a class breakfast party. she bought 6 chocolate doughnuts, 8 coconut doughnuts, and 8 jam - filled doughnuts. how many doughnuts did anne buy in all ?\nOptions: a. 22, b. 36, c. 39, d. 21, e. 11", "neg": "Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking. the swiss chocolate cost $ 2.5 per pound, and german chocolate cost $ 1.5 per pound. if the total the she spent on chocolate was $ 30 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased ?\nOptions: a. 7, b. 18, c. 10, d. 12, e. 11", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}281{"query": "Problem: a boy swims downstream 48 km and upstream 12 km taking 6 hours each time; what is the speed of the current ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "pos": "Problem: a man swims downstream 36 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water ?\nOptions: a. 7, b. 8, c. 9, d. 2, e. 4", "neg": "Problem: a boy swims downstream 56 km and upstream 42 km taking 7 hours each time; what is the speed of the current ?\nOptions: a. 5, b. 4, c. 3, d. 2, e. 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}282{"query": "Problem: if the sides of a cube are in the ratio 5: 3. what is the ratio of their diagonals ?\nOptions: ['a. 5: 9', 'b. 9: 3', 'c. 5: 4', 'd. 3: 5', 'e. 5: 3']", "pos": "Problem: two cubes of their volumes in the ratio 64: 125. the ratio of their surface area is :\nOptions: a. 1.5: 5, b. 2: 5, c. 3: 5, d. 1: 5, e. 4: 5", "neg": "Problem: if the sides of a cube are in the ratio 9: 7. what is the ratio of their diagonals ?\nOptions: a. 4: 3, b. 16: 9, c. 9: 7, d. 3: 4, e. 3: 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}283{"query": "Problem: the average weight of 26 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. find the average weights of all the boys in the class.\nOptions: a. 49.05, b. 42.25, c. 50, d. 51.25, e. 52.25", "pos": "Problem: the average weight of 20 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. find the average weights of all the boys in the class.\nOptions: a. 48.79286, b. 42.25, c. 50.87364, d. 51.25, e. 52.25474", "neg": "Problem: the average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. find the average weights of all the boys in the class.\nOptions: a. 47.55 kg, b. 48 kg, c. 48.55 kg, d. 49.25 kg, e. 59.25 kg", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}284{"query": "Problem: a one - foot stick is marked in 1 / 4 and 1 / 5 portion. how many total markings will there be, including the end points ?\nOptions: a. 18, b. 16, c. 13, d. 9, e. 11", "pos": "Problem: if 1 / 8 of a pencil is black 1 / 2 of the remaining is white and the remaining 7 / 2 is blue find the total length of the pencil ?\nOptions: a. 7.33 cm, b. 6.33 cm, c. 5.33 cm, d. 9.33 cm, e. 8.33 cm", "neg": "Problem: a card board of size 34 * 14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the card box. find the total number of pins used.\nOptions: a. 135, b. 136, c. 137, d. 138, e. 139", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}285{"query": "Problem: find out the c. i on rs. 5000 at 4 % p. a. compound half - yearly for 1 1 / 2 years ?\nOptions: a. 272.22, b. 128.29, c. 306.04, d. 198.39, e. 212.22", "pos": "Problem: for 1 rs 4 p interest wat will be for 5000 rs ?\nOptions: a. 350 rs, b. 450 rs, c. 200 rs, d. 30 rs, e. 448 rs", "neg": "Problem: what is the compound interest on rs: 40,000 for 4 months at the rate of 5 % per annum\nOptions: a. 670.85, b. 671.85, c. 672.85, d. 673.85, e. 674.85", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}286{"query": "Problem: the average score of a cricketer in 2 matches is 30 and in other 3 matches is 40. then find the average score in all the 5 matches ?\nOptions: a. 25, b. 27, c. 30, d. 35, e. 36", "pos": "Problem: a batsman makes a score of 85 runs in the 11 th inning and thus increases his average by 5. find his average after 11 th inning.\nOptions: a. 40, b. 50, c. 62, d. 45, e. 35", "neg": "Problem: the average score of a cricketer in 2 matches is 60 and in other 3 matches is 50. then find the average score in all the 5 matches ?\nOptions: a. 54, b. 27, c. 30, d. 35, e. 42", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}287{"query": "Problem: two spherical balls lie on the ground touching. if one of the balls has a radius of 9 cm, and the point of contact is 10 cm above the ground, what is the radius of the other ball ( in centimeters ) ?\nOptions: a. 50 / 4, b. 70 / 6, c. 80 / 7, d. 90 / 8, e. 100 / 9", "pos": "Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 14 cm each. the radius of the sphere is\nOptions: a. 3 cm, b. 4 cm, c. 6 cm, d. 7 cm, e. none", "neg": "Problem: two spherical balls lie on the ground touching. if one of the balls has a radius of 7 cm, and the point of contact is 10 cm above the ground, what is the radius of the other ball ( in centimeters ) ?\nOptions: a. 30 / 7, b. 50 / 3, c. 70 / 4, d. 80 / 5, e. 90 / 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}288{"query": "Problem: in what ratio must tea at rs. 62 per kg be mixed with tea at rs. 72 per kg so that the mixture must be worth rs. 64.50 per kg ?\nOptions: a. 3: 1, b. 2: 1, c. 5: 2, d. 3: 2, e. 3: 4", "pos": "Problem: in what ratio must a grocer mix two varieties of pulses costing rs. 15 and rs. 20 per kg respectively so as to get a mixture worth rs. 16.50 kg ?\nOptions: a. 7: 3, b. 3: 7, c. 4: 6, d. 5: 7, e. 8: 9", "neg": "Problem: in what ratio must tea at rs. 60 per kg be mixed with tea at rs. 70 per kg so that the mixture must be worth rs. 67.5 per kg ?\nOptions: a. 3: 1, b. 3: 2, c. 4: 3, d. 1: 3, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}289{"query": "Problem: a solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. the height of the cone is :\nOptions: ['a. 8 cm', 'b. 6 cm', 'c. 4 cm', 'd. 3 cm', 'e. none']", "pos": "Problem: a cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. the percentage of the wood wasted is :\nOptions: ['a. 45 %', 'b. 56 %', 'c. 67 %', 'd. 75 %', 'e. none of these']", "neg": "Problem: a metallic sphere of radius 24 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. what is the length of the wire ?\nOptions: a. 26 cm, b. 45 cm, c. 58 cm, d. 63 cm, e. 72 cm", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}290{"query": "Problem: the present worth of rs. 2310 due years hence, the rate of interest being 15 % per annum, is :\nOptions: a. rs. 1440, b. rs. 1750, c. rs. 1680, d. rs. 1840, e. none of these", "pos": "Problem: the present worth of rs. 845 due in 2 years at 4 % per annum compound interest is\nOptions: a. rs. 150.50, b. rs. 154.75, c. rs. 781.25, d. rs. 158, e. none", "neg": "Problem: the present worth of rs. 2310 due 2 years hence, the rate of interest being 15 % per annum, is :\nOptions: a. 1689, b. 1680, c. 1682, d. 1681, e. 1686", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}291{"query": "Problem: if x is the median of the set { 8 / 2, 11 / 3, 27 / 9, 21 / 5, x }, x could be\nOptions: a. 4, b. 17 / 5, c. 16 / 5, d. 30 / 7, e. 31 / 7", "pos": "Problem: the average of 9 observations was 8, that of the 1 st of 5 being 10 and that of the last 5 being 8. what was the 5 th observation ?\nOptions: a. 18, b. 12, c. 15, d. 17, e. 19", "neg": "Problem: if x is the median of the set { 9 / 2, 11 / 3, x, 28 / 9, 21 / 5 }, x could be\nOptions: a. 16 / 5, b. 17 / 5, c. 4 / 7, d. 30 / 7, e. 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}292{"query": "Problem: how many seconds will a train 100 meters long take to cross a bridge 140 meters long if the speed of the train is 36 kmph ?\nOptions: a. 26, b. 24, c. 25, d. 82, e. 27", "pos": "Problem: how many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?\nOptions: a. 28 sec, b. 29 sec, c. 24 sec, d. 25 sec, e. 26 sec", "neg": "Problem: how many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph ?\nOptions: a. 54 sec, b. 65 sec, c. 25 sec, d. 45 sec, e. 27 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}293{"query": "Problem: while working alone at their constant rates, computer x can process 240 files in 12 hours, and computer y can process 240 files in 6 hours. if all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files ?\nOptions: a. 3, b. 3.5, c. 4, d. 4.5, e. 5", "pos": "Problem: running at their respective constant rates, machine x takes 2 days longer to produce w widgets than machine y. at these rates, if the two machines together produce 5 / 4 w widgets in 3 days, how many days would it take machine x alone to produce 3 w widgets ?\nOptions: a. 4, b. 6, c. 18, d. 10, e. 12", "neg": "Problem: working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates ?\nOptions: a. 4 / 11, b. 1 / 2, c. 15 / 22, d. 10 / 1, e. 11 / 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}294{"query": "Problem: a and b together can complete work in 6 days. a alone starts working and leaves it after working for 4 days completing only half of the work. in how many days it can be completed if the remaining job is undertaken by b ?\nOptions: a. 4, b. 12, c. 5, d. 6, e. 7", "pos": "Problem: a and b complete a work in 6 days. a alone can do it in 8 days. if both together can do the work in how many days ?\nOptions: a. 3.75 days, b. 3.43 days, c. 2.99 days, d. 2.98 days, e. 2.44 days", "neg": "Problem: a can do a work in 6 days. b can do the same work in 12 days. if both a & b are working together in how many days they will finish the work ?\nOptions: a. 3, b. 5, c. 4, d. 2, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}295{"query": "Problem: in town x, 64 percent of the population are employed, and 46 percent of the population are employed males. what percent of the employed people in town x are females ?\nOptions: a. 16 %, b. 25 %, c. 28 %, d. 40 %, e. 52 %", "pos": "Problem: at a small company, 58 percent of the employees are women, and 60 percent of the employees are married. if 2 / 3 of the men are single, what fraction of the women are married ?\nOptions: a. 5 / 16, b. 1 / 3, c. 23 / 29, d. 7 / 10, e. 5 / 7", "neg": "Problem: in town x, 64 percent of the population are employed, and 47 percent of the population are employed males. what percent of the employed people in town x are females ?\nOptions: a. 16 %, b. 46 %, c. 32 %, d. 24 %, e. 52 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}296{"query": "Problem: the lcm of two numbers is 2310 and hcf is 55. if one of the numbers is 210. then what is the other number ?\nOptions: a. 715, b. 825, c. 330, d. 605, e. 465", "pos": "Problem: the l. c. m of two numbers is 2310 and their h. c. f is 30. if one number is 462 the other is\nOptions: a. 330, b. 300, c. 270, d. 150, e. 350", "neg": "Problem: the lcm of two numbers is 2310 and hcf is 30. if one of the numbers is 210. then what is the other number ?\nOptions: a. 715, b. 825, c. 330, d. 582, e. 465", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}297{"query": "Problem: what is the sum of all possible solutions to | x - 2 | ^ 2 + | x - 2 | = 20 ?\nOptions: a. - 1, b. 6, c. 7, d. 8, e. 14", "pos": "Problem: for what value of x, is | x – 2 | + | x + 5 | + | x | = 17 ?\nOptions: a. 0, b. 3, c. - 3, d. 5, e. - 5", "neg": "Problem: what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 12 ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}298{"query": "Problem: a and b invests rs. 2500 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?\nOptions: a. 11: 5, b. 15: 16, c. 15: 2, d. 9: 9, e. 11: 1", "pos": "Problem: a and b invests rs. 2000 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?\nOptions: a. 3: 5, b. 3: 4, c. 9: 2, d. 9: 9, e. 3: 1", "neg": "Problem: a and b invests rs. 1500 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?\nOptions: a. 9: 5, b. 9: 8, c. 9: 2, d. 9: 9, e. 9: 16", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}299{"query": "Problem: find the average of first 4 multiples of 11 ?\nOptions: a. 10, b. 12.6, c. 27.5, d. 31.3, e. 40.8", "pos": "Problem: the average of first 7 prime numbers is ?\nOptions: a. 10.11, b. 11.11, c. 8.29, d. 13.11, e. 14.11", "neg": "Problem: find the average of first 4 multiples of 8 ?\nOptions: a. 20, b. 12.6, c. 22.5, d. 31.3, e. 40.8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}300{"query": "Problem: a car traveled from san diego to san francisco at an average speed of 54 miles per hour. if the journey back took twice as long, what was the average speed of the trip ?\nOptions: a. 24., b. 32., c. 36., d. 42., e. 44.", "pos": "Problem: cole drove from home to work at an average speed of 80 kmh. he then returned home at an average speed of 120 kmh. if the round trip took a total of 2 hours, how many minutes did it take cole to drive to work ?\nOptions: a. 66, b. 70, c. 72, d. 75, e. 78", "neg": "Problem: a car drives 60 miles on local roads at 20 mph, and 195 miles on the highway at 65 mph, what is the average speed of the entire trip ?\nOptions: a. 36 mph, b. 40 mph, c. 44 mph, d. 43 mph, e. 58 mph", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}301{"query": "Problem: a runner runs the 40 miles from marathon to athens at a constant speed. halfway through the run she injures her foot, and continues to run at half her previous speed. if the second half takes her 8 hours longer than the first half, how many hours did it take the runner to run the second half ?\nOptions: a. 10, b. 12, c. 16, d. 20, e. 24", "pos": "Problem: stacy and heather are 40 miles apart and walk towards each other along the same route. stacy walks at constant rate that is 1 mile per hour faster than heather ' s constant rate of 5 miles / hour. if heather starts her journey 24 minutes after stacy, how far from the original destination has heather walked when the two meet ?\nOptions: a. 4 miles, b. 8 miles, c. 17 miles, d. 6 miles, e. 12 miles", "neg": "Problem: 9. on level farmland, two runners leave at the same time from the intersection of two country roads. one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 8 miles per hour faster than the first runner ' s rate. how far apart, to the nearest mile, will they be after 1 / 2 hour ?\nOptions: a. 6, b. 7, c. 8, d. 12, e. 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}302{"query": "Problem: a pump will fill a tank in 3 hours. because of a leak in the tank, it took 3 hours 30 min to fill the tank. in what time the leak can drain out all the water of the tank and will make tank empty ?\nOptions: a. 20 hrs, b. 21 hrs, c. 22 hrs, d. 23 hrs, e. 24 hrs", "pos": "Problem: a small water pump would take 3 hours to fill an empty tank. a larger pump would take 3 / 4 hour to fill the same tank. how many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time ?\nOptions: a. 3 / 4, b. 3 / 5, c. 5 / 7, d. 1 / 2, e. 4 / 5", "neg": "Problem: a pump can fill a tank with a water in 2 hours. because of a leak, it took 3 and 1 / 3 hours to fill the tank. the leak can drain all the water of the full tank in how many hours ?\nOptions: a. 5 hrs, b. 7 hrs, c. 12 hrs, d. 14 hrs, e. 16 hrs", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}303{"query": "Problem: the area of a square garden is q square feet and the perimeter is p feet. if q = p + 21, what is the perimeter of the garden in feet ?\nOptions: ['a. 24', 'b. 28', 'c. 32', 'd. 36', 'e. 40']", "pos": "Problem: what is the perimeter of a square field whose diagonal is 8 â ˆ š 2 ?\nOptions: a. 64 m, b. 32 m, c. 30 m, d. 16 m, e. 18 m", "neg": "Problem: the area of a square garden is a square feet and the perimeter is p feet. if a = 2 p + 26.25, what is the perimeter of the garden, in feet ?\nOptions: a. 28, b. 36, c. 40, d. 42, e. 64", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}304{"query": "Problem: a train 100 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is ?\nOptions: a. 28, b. 50, c. 88, d. 41, e. 12", "pos": "Problem: a train 110 m long is running with a speed of 36 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?\nOptions: a. 5, b. 6, c. 7, d. 9, e. 5", "neg": "Problem: a train 150 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :\nOptions: a. 22, b. 50, c. 99, d. 288, e. 59", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}305{"query": "Problem: a positive number x is multiplied by 2, and this product is then divided by 4. if the positive square root of the result of these two operations equals x, what is the value of x ?\nOptions: a. 9 / 4, b. 3 / 2, c. 4 / 3, d. 2 / 3, e. 1 / 2", "pos": "Problem: if x ⁄ 2 + 9 ⁄ 4 = 5 ⁄ 4, what is the value of x ?\nOptions: a. – 2, b. – 1, c. 0, d. 1, e. 2", "neg": "Problem: if x is a positive number and 2 the square root of x is equal to x / 2, then x =\nOptions: a. 1 / 16, b. 4, c. 1, d. 2, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}306{"query": "Problem: how many multiples of 3 are there between 10 and 100, exclusive ?\nOptions: a. 30, b. 29, c. 28, d. 31, e. 33", "pos": "Problem: how many 3 - digit integers between 311 and 401, exclusive, are divisible by 3 when the tens digit and the hundered digit are switched ?\nOptions: a. 30, b. 19, c. 22, d. 3, e. 90", "neg": "Problem: how many integers from 101 to 200, inclusive, are divisible by 3 but not divisible by 7 ?\nOptions: a. 20, b. 25, c. 28, d. 30, e. 40", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}307{"query": "Problem: an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b. fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume. if the full fuel tank contains 28 gallons of ethanol, how many gallons of fuel a were added ?\nOptions: a. 160, b. 150, c. 100, d. 80, e. 50", "pos": "Problem: an empty fuel tank is filled with brand z gasoline. when the tank is 3 / 4 empty, it is filled with brand y gasoline. when the tank is half empty again, it is filled with brand z gasoline. when the tank is half empty again, it is filled with brand y gasoline. at this time, what percent of the gasoline in the tank is brand z ?\nOptions: a. 40 %, b. 41 %, c. 43.75 %, d. 42 %, e. 44 %", "neg": "Problem: an empty fuel tank is filled with brand z gasoline. when the tank is 1 / 4 empty, it is filled with brand y gasoline. when the tank is half empty again, it is filled with brand z gasoline. when the tank is half empty again, it is filled with brand y gasoline. at this time, what percent of the gasoline in the tank is brand z ?\nOptions: a. 31.25 %, b. 30 %, c. 40 %, d. 50 %, e. 45 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}308{"query": "Problem: maxwell leaves his home and walks toward brad ' s house. one hour later, brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 14 kilometers, maxwell ' s walking speed is 4 km / h, and brad ' s running speed is 6 km / h. what is the total time it takes maxwell before he meets up with brad ?\nOptions: a. 2, b. 4, c. 5, d. 6, e. 8", "pos": "Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 70 kilometers, maxwell ' s walking speed is 4 km / h, and brad ' s running speed is 6 km / h, what is the distance traveled by brad ?\nOptions: a. 42, b. 18, c. 20, d. 24, e. 30", "neg": "Problem: maxwell leaves his home and walks toward brad ' s house. one hour later, brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 34 kilometers, maxwell ' s walking speed is 4 km / h, and brad ' s running speed is 6 km / h. what is the total time it takes maxwell before he meets up with brad ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}309{"query": "Problem: the total price of a basic computer and printer are $ 2,500. if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer, then the price of the printer would have been 2 / 5 of that total. what was the price of the basic computer ?\nOptions: a. 1300, b. 1600, c. 1750, d. 1900, e. 2000", "pos": "Problem: company c sells a line of 25 products with an average retail price of $ 1,200. if none of these products sells for less than $ 400, and exactly 10 of the products sell for less than $ 1,000, what is the greatest possible selling price of the most expensive product ?\nOptions: a. 12000, b. 13000, c. 14000, d. 15000, e. 16000", "neg": "Problem: the number of people who purchased book a is twice the number of people who purchased book b. the number of people who purchased both books a and b is 500, which is twice the number of people who purchased only book b. what is the number of people c who purchased only book a ?\nOptions: a. 250, b. 500, c. 750, d. 1000, e. 1500", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}310{"query": "Problem: in a lottery there are 20 prizes and 35 blanks. a lottery is drawn at random. what is the probability of getting a prize\nOptions: a. 2 / 13, b. 4 / 11, c. 5 / 11, d. 6 / 11, e. 3 / 13", "pos": "Problem: in a department store prize box, 40 % of the notes give the winner a dreamy vacation; the other notes are blank. what is the approximate probability that 3 out of 5 people that draw the notes one after the other, and immediately return their note into the box get a dreamy vacation ?\nOptions: a. 0.12, b. 0.23, c. 0.35, d. 0.45, e. 0.65", "neg": "Problem: tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability taht the ticket drawn has a number which is a multiple of 3 or 5 ?\nOptions: a. 1 / 2, b. 2 / 5, c. 8 / 15, d. 9 / 20, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}311{"query": "Problem: lloyd normally works 7.5 hours per day and earns $ 3.50 per hour. for each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day ?\nOptions: a. $ 33.75, b. $ 42.00, c. $ 51.75, d. $ 54.00, e. $ 70.00", "pos": "Problem: lloyd normally works 7.5 hours per day and earns $ 4.00 per hour. for each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day ?\nOptions: a. $ 33.75, b. $ 48.00, c. $ 51.75, d. $ 54.00, e. $ 70.00", "neg": "Problem: the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day. during the first 7 days, his average wages was $ 87 per day and the average wages during the last 7 days was $ 91 per day. what was his wage on the 8 th day ?\nOptions: a. $ 83, b. $ 90, c. $ 92, d. $ 97, e. $ 104", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}312{"query": "Problem: tammy climbed a mountain in two days. she spent a total of 14 hours climbing the mountain. on the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. if the total distance she climbed during the two days is 52 kilometers, how many e kilometers per hour did tammy walk on the second day ?\nOptions: a. 3, b. 3.5, c. 4, d. 4.5, e. 6", "pos": "Problem: a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. if they will go up the mountain at a rate of 6 miles per day and it will take them two days, how many miles long is the route down the mountain ?\nOptions: a. 16, b. 17, c. 18, d. 19, e. 20", "neg": "Problem: hillary and eddy are climbing to the summit of mt. everest from a base camp 4,900 ft from the summit. when they depart for the summit at 06: 00, hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr. if hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft / hr, at what time do hillary and eddy pass each other on her return trip ?\nOptions: a. 10.0, b. 11.0, c. 13.0, d. 12.0, e. 14.0", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}313{"query": "Problem: the l. c. m of two numbers is 2310 and their h. c. f is 30. if one number is 462 the other is\nOptions: a. 330, b. 300, c. 270, d. 150, e. 350", "pos": "Problem: the h. c. f of two numbers is 13 and their l. c. m is 2200. if one of the numbers is 286, then the other is ?\nOptions: a. 85, b. 90, c. 95, d. 100, e. 105", "neg": "Problem: the l. c. m of two numbers is 2310 and their h. c. f is 30. if one number is 385 the other is\nOptions: a. 180, b. 300, c. 270, d. 250, e. 350", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}314{"query": "Problem: a reduction of 22 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg ?\nOptions: a. s. 2.82, b. s. 2.4, c. s. 2.5, d. s. 2.2, e. s. 2.1", "pos": "Problem: at the beginning of a year, the owner of a jewel shop raised the price of all the jewels in his shop by x % and lowered them by x %. the price of one jewel after this up and down cycle reduced by rs. 100. the owner carried out the same procedure after a month. after this second up - down cycle, the price of that jewel was rs. 2304. find the original price of that jewel ( in rs. )\nOptions: a. 2500, b. 550, c. 2600, d. 2650, e. none of these", "neg": "Problem: a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs. 200, find the original price per kg ?\nOptions: a. s. 7, b. s. 4, c. s. 5, d. s. 1, e. s. 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}315{"query": "Problem: a person incurs a loss of 5 % be selling a watch for rs. 1140. at what price should the watch be sold to earn 5 % profit.\nOptions: a. rs. 1200, b. rs. 1230, c. rs. 1260, d. rs. 1290, e. rs. 1270", "pos": "Problem: a person incurs a loss of 5 % be selling a watch for rs. 1140. at what price should the watch be sold to earn 5 % profit\nOptions: a. rs. 1200, b. rs. 1230, c. rs. 1260, d. rs. 1290, e. none of these", "neg": "Problem: the percentage profit earned by selling an article for rs. 1320 is equal to the percentage loss incurred by selling the same article for rs. 1280. at what price should the article be sold to make 25 % profit ?\nOptions: a. 3000, b. 1230, c. 2000, d. 1625, e. 3400", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}316{"query": "Problem: patanjali walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. how many miles in total did she walk ?\nOptions: a. 24, b. 44, c. 58, d. 60, e. 62", "pos": "Problem: jisha walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. how many miles in total did she walk ?\nOptions: a. 24, b. 44, c. 58, d. 60, e. 62", "neg": "Problem: a hiker walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day 5 miles per hour for 6 hours. how many miles in total did she walk ?\nOptions: a. 68, b. 44, c. 58, d. 60, e. 62", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}317{"query": "Problem: the current in a river is 10 mph. a boat can travel 50 mph in still water. how far up the river can the boat travel if the round trip is to take 5 hours ?\nOptions: a. 120, b. 100, c. 96, d. 85, e. 150", "pos": "Problem: the speed of a boat in still water is 60 kmph and the speed of the current is 17 kmph. find the speed downstream and upstream ?\nOptions: a. 77,43 kmph, b. 80,80 kmph, c. 80,42 kmph, d. 80,40 kmph, e. 83,40 kmph", "neg": "Problem: in one hour, a boat goes 11 km along the stream and 5 km against the stream. the speed of the boat in still water is :\nOptions: a. 3, b. 5, c. 8, d. 9, e. 10", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}318{"query": "Problem: 60 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. the bigger part is :\nOptions: a. 33, b. 45, c. 26, d. 28, e. 19", "pos": "Problem: the sum of two numbers is 77. 5 times one number is equal to 6 times the other. the bigger of the two numbers is\nOptions: a. 10, b. 42, c. 14, d. 15, e. 60", "neg": "Problem: 30 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. the bigger part is :\nOptions: a. 33, b. 34, c. 26, d. 10, e. 19", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}319{"query": "Problem: the sum of two number is 25 and their difference is 13. find their product.\nOptions: a. 114, b. 104, c. 315, d. 350, e. 400", "pos": "Problem: the number 35 is equal to the sum of the cubes of two integers. what is the product of those integers ?\nOptions: a. 6, b. 15, c. 21, d. 27, e. 39", "neg": "Problem: the h. c. f. of two numbers is 25 and the other two factors of their l. c. m. are 13 and 14. the larger of the two numbers is :\nOptions: a. 276, b. 299, c. 322, d. 345, e. 350", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}320{"query": "Problem: a library branch originally contained 18360 volumes, 30 % of which were fiction novels. 1 / 3 of the volumes were transferred to another location and 1 / 5 of the volumes transferred were fiction novels. what percent of the remaining collection was fiction novels ?\nOptions: a. 2.5 %, b. 17.67 %, c. 28.3 %, d. 36 %, e. 73.6 %", "pos": "Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 66 books in the special collection at that time, how many books of the special collection were loaned out during that month ?\nOptions: a. 20, b. 30, c. 35, d. 45, e. 55", "neg": "Problem: keats library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. with the addition of the new biographies, the biography collection of the library amounts to 30 % of the total number of books in the library. if prior to the purchase, only 20 % of the books in keats library were biographies, by what percent has the number of biographies in the library increased ?\nOptions: a. 47 %, b. 59 %, c. 71 %, d. 83 %, e. 95 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}321{"query": "Problem: there is one 4 - digit whole number n, such that the last 4 digits of n 2 are in fact the original number n\nOptions: a. 8476, b. 7376, c. 9376, d. 7378, e. 9466", "pos": "Problem: how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 4, and the digit 2 can be used only once ?\nOptions: a. 20, b. 150, c. 225, d. 300, e. 320", "neg": "Problem: there is a 5 - digit number. the fifth digit is one fourth of the third digit and one half of the fourth digit. third digit is one half of the first digit. second digit is 5 more than the fifth digit. what is that 5 - digit number ?\nOptions: a. 86421, b. 86424, c. 89421, d. 96421, e. 76421", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}322{"query": "Problem: when two dice are tossed, what is the probability that the total score is a prime number ?\nOptions: a. 1 / 6, b. 3, c. 5 / 12, d. 7 / 12, e. 9 / 12", "pos": "Problem: 4 dice are thrown simultaneously on the board. find the probability show the same face ?\nOptions: a. 2 / 113, b. 1 / 215, c. 1 / 216, d. 3 / 113, e. 4 / 113", "neg": "Problem: if two dice are thrown together, the probability of getting an even prime number on the dice is\nOptions: a. 1 / 36, b. 1 / 18, c. 1 / 13, d. 1 / 9, e. 5 / 36", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}323{"query": "Problem: running at the same constant rate, 6 identical machines can produce a total of 420 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes ?\nOptions: a. 648, b. 1800, c. 2800, d. 10800, e. 10900", "pos": "Problem: running at the same constant rate, 6 identical machines can produce a total of 240 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes ?\nOptions: a. 648, b. 1,800, c. 1,600, d. 10,800, e. 64,800", "neg": "Problem: running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. at this rate, how many bottles could 8 such machines produce in 4 minutes ?\nOptions: a. 648, b. 1800, c. 2700, d. 1440, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}324{"query": "Problem: there is food for 760 men for 22 days. how many more men should join after two days so that the same food may last for 5 days more ?\nOptions: a. 2280, b. 2240, c. 2299, d. 2288, e. 2266", "pos": "Problem: a garrison of 400 men had a provision for 31 days. after 26 days 275 persons re - enforcement leave the garrison. find the number of days for which the remaining ration will be sufficient ?\nOptions: a. 16 days, b. 45 days, c. 10 days, d. 17 days, e. 18 days", "neg": "Problem: a garrison of 2000 men has provisions for 54 days. at the end of 18 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. what is the reinforcement ?\nOptions: a. 1977, b. 1600, c. 1979, d. 1900, e. 1278", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}325{"query": "Problem: the ratio of the volumes of two cubes is 216: 343. what is the ratio of their total surface areas ?\nOptions: a. 81: 12, b. 31: 36, c. 81: 22, d. 8: 19, e. 1: 11", "pos": "Problem: the ratio of the volumes of two cubes is 125: 512. what is the ratio of their total surface areas ?\nOptions: a. 81: 121, b. 25: 64, c. 729: 1331, d. 27: 121, e. none of these", "neg": "Problem: the ratio of the volumes of two cubes is 1331: 2197. what is the ratio of their total surface areas ?\nOptions: a. 121: 169, b. 169: 122, c. 81: 124, d. 81: 126, e. 81: 129", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}326{"query": "Problem: the length and breadth of a rectangle is increased by 10 % and 30 % respectively. what is the increase in the area ?\nOptions: a. 43.0, b. 44.0, c. 43.5, d. 45.0, e. 42.0", "pos": "Problem: the length and breadth of a rectangle is increased by 3 % and 6 % respectively. what is the increase in the area ?\nOptions: a. 9.18, b. 9.25, c. 9.5, d. 8.98, e. 8.88", "neg": "Problem: the length and breadth of a rectangle is increased by 5 % and 15 % respectively. what is the increase in the area ?\nOptions: a. 21.25, b. 22.75, c. 19.25, d. 20.75, e. 22.25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}327{"query": "Problem: the distance between 2 cities a and b is 1000 km. a train starts from a at 11 a. m. and travels towards b at 100 km / hr. another starts from b at 12 p. m. and travels towards a at 150 km / hr. at what time do they meet ?\nOptions: a. 11 am., b. 12 p. m., c. 3 pm., d. 4 p. m., e. 1 p. m.", "pos": "Problem: two trains start from a & b and travel towards each other at speed of 50 kmph and 60 kmph resp. at the time of the meeting the second train has traveled 100 km more than the first. the distance between them.\nOptions: a. 800 km, b. 900 km, c. 1000 km, d. 1100 km, e. 1200 km", "neg": "Problem: the distance between 2 cities a and b is 1000 km. a train starts from a at 10 a. m. and travels towards b at 100 km / hr. another starts from b at 11 a. m. and travels towards a at 150 km / hr. at what time do they meet ?\nOptions: a. 11 am., b. 12 p. m., c. 3 pm., d. 2 p. m., e. 1 p. m.", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}328{"query": "Problem: in the number 11,0 ab, a and b represent the tens and units digits, respectively. if 11,0 ab is divisible by 65, what is the greatest possible value of b × a ?\nOptions: a. 0, b. 5, c. 10, d. 15, e. 25", "pos": "Problem: find large number from below question the difference of two numbers is 1311. on dividing the larger number by the smaller, we get 11 as quotient and the 11 as remainder\nOptions: a. 1209, b. 1324, c. 1441, d. 1300, e. 1635", "neg": "Problem: in the number 10,0 ab, a and b represent the tens and units digits, respectively. if 11,0 ab is divisible by 55, what is the greatest possible value of b × a ?\nOptions: a. 0, b. 5, c. 10, d. 15, e. 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}329{"query": "Problem: if k is the greatest positive integer such that 3 ^ k is a divisor of 15 ! then k =\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "pos": "Problem: if m is a positive integer and m ^ 2 is divisible by 33, then the largest positive integer that must divide m is ?\nOptions: a. 3, b. 6, c. 8, d. 11, e. 16", "neg": "Problem: if integer k is equal to the sum of all even multiples of 15 between 390 and 615, what is the greatest prime factor of k ?\nOptions: a. 5, b. 7, c. 8, d. 13, e. 17", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}330{"query": "Problem: how many of the integers between 15 and 55 are even ?\nOptions: a. 21, b. 20, c. 11, d. 10, e. 9", "pos": "Problem: how many unique positive odd integers less than 90 are equal to the product of a positive multiple of 5 and an odd number ?\nOptions: a. 4, b. 9, c. 11, d. 12, e. 15", "neg": "Problem: how many positive even integers less than 100 contain digits 5 or 7 ?\nOptions: a. 10, b. 17, c. 18, d. 19, e. 20", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}331{"query": "Problem: count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6 ?\nOptions: a. one, b. three, c. two, d. five, e. four", "pos": "Problem: what is the remainder when ( 63 ) ( 65 ) is divided by 8 ?\nOptions: a. 1, b. 2, c. 4, d. 5, e. 7", "neg": "Problem: how many integers are between 4 and 87 / 8, inclusive ?\nOptions: a. 4, b. 5, c. 7, d. 9, e. 10", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}332{"query": "Problem: a train 510 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long ?\nOptions: a. 40, b. 52, c. 26, d. 21, e. 14", "pos": "Problem: a train 260 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long ?\nOptions: a. 40, b. 32, c. 26, d. 21, e. 14", "neg": "Problem: a train 310 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long ?\nOptions: a. 40, b. 56, c. 41, d. 36, e. 34", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}333{"query": "Problem: if ryan and smith car ratio is 5: 8. ryan bought 6 new car and smith bought 2 new car. now, smith has 18 car. what is their car ratio now ?\nOptions: a. 5: 4, b. 3: 2, c. 8: 9, d. 6: 5, e. 7: 5", "pos": "Problem: he ratio between the sale price and the cost price of an article is 5: 6. what is the ratio between the profit and the cost price of that article ?\nOptions: a. 2: 6, b. 1: 8, c. 1: 6, d. 2: 1, e. 2: 5", "neg": "Problem: a certain car dealership sells economy cars, luxury cars, and sport utility vehicles. the ratio of economy to luxury cars is 3: 1. the ratio of economy cars to sport utility vehicles is 4: 3. what is the ratio of luxury cars to sport utility vehicles ?\nOptions: a. 9: 8, b. 4: 9, c. 3: 2, d. 2: 3, e. 1: 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}334{"query": "Problem: a ( 7, w ^ 3 ) is the ( x, y ) coordinate of point located on the parabola y = x ^ 2 + 15. what is the value of w ?\nOptions: a. 3., b. 4., c. 5., d. 6., e. 9.", "pos": "Problem: a number x is multiplied by 3, and this product is then divided by 7. if the positive square root of the result of these two operations equals x, what is the value of x if x ≠ 0 ?\nOptions: a. 25 / 9, b. 3 / 7, c. 5 / 3, d. 3 / 5, e. 9 / 25", "neg": "Problem: a ( 3, w ^ 3 ) is the ( x, y ) coordinate of point located on the parabola y = x ^ 2 - 1. what is the value of w ?\nOptions: a. 2., b. 4., c. 5., d. 6., e. 9.", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}335{"query": "Problem: the timing of a college is from 12 p. m to 4.10 p. m. five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. find the duration of each lecture.\nOptions: a. 52 minutes, b. 45 minutes, c. 46 minutes, d. 48 minutes, e. 44 minutes", "pos": "Problem: calculate how many seconds it will take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 9, 12, 15 and 18 seconds ?\nOptions: a. 186, b. 130, c. 180, d. 181, e. 120", "neg": "Problem: a clock shows the time as 10 a. m. if the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p. m. ?\nOptions: a. 45 minutes, b. 55 minutes, c. 35 minutes, d. 25 minutes, e. 40 minutes", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}336{"query": "Problem: the grade point average of one third of the classroom is 45; the grade point average of the rest is 60. what is the grade point average of the whole class ?\nOptions: a. 54, b. 55, c. 60, d. 65, e. 70", "pos": "Problem: in a class of 25 students in an examination in maths 3 students scored 95 marks each, 3 get zero each and the average of the rest was 45. what is the average of the whole class ?\nOptions: a. 47, b. 45.6, c. 44, d. 48, e. 49", "neg": "Problem: the grade point average of one third of the classroom is 15; the grade point average of the rest is 18. what is the grade point average of the whole class ?\nOptions: a. 17, b. 19, c. 21, d. 23, e. 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}337{"query": "Problem: 63 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work ?\nOptions: a. 21, b. 23, c. 24, d. 25, e. 26", "pos": "Problem: 29 persons can repair a road in 16 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work ?\nOptions: a. 12.88, b. 3.88, c. 13.88, d. 15, e. 18.8", "neg": "Problem: 33 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work ?\nOptions: a. 10, b. 11, c. 13, d. 18, e. 19", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}338{"query": "Problem: marcella has 24 pairs of shoes. if she loses 9 individual shoes, what is the greatest number of matching pairs she could have left ?\nOptions: a. 21, b. 20, c. 19, d. 16, e. 15", "pos": "Problem: a box contains 100 pairs of shoes ( 200 shoes in total ). if two shoes are selected at random, what it is the probability that they are matching shoes ?\nOptions: a. 1 / 190, b. 1 / 20, c. 1 / 199, d. 1 / 10, e. 1 / 9", "neg": "Problem: john has 10 pairs of matched socks. if he loses 3 individual socks, what is the greatest number of pairs of matched socks he can have left ?\nOptions: a. 7, b. 8, c. 5, d. 4, e. 3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}339{"query": "Problem: the sum of the squares of three numbers is 138, while the sum of their products take two at a time is 131. find the sum ?\nOptions: a. 10, b. 30, c. 20, d. 50, e. 40", "pos": "Problem: the sum of two numbers is 16 and the sum of their squares is 113. find the numbers.\nOptions: a. 1 and 2, b. 4 and 5, c. 7 and 8, d. 2 and 3, e. 6 and 7", "neg": "Problem: sum of the squares of 3 no. ' s is 62 and the sum of their products taken two at a time is 131. find the sum ?\nOptions: a. 20, b. 24, c. 26, d. 18, e. 30", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}340{"query": "Problem: two trains are approaching each other at 60 mph each. the length of each train is 1 / 6 miles. when the two locomotives ( engines ) meet, how many seconds will it take for them to pass each other completely ?\nOptions: a. 8 sec, b. 11 sec, c. 12 sec, d. 10 sec, e. 15 sec", "pos": "Problem: two trains leave a station traveling the same direction. train a leaves the station traveling at a constant speed of 60 mph, and train b leaves the station traveling at a constant speed of 80 mph. if both trains maintain constant speeds, in how many minutes will train b overtake train a if train a left 40 minutes prior to train b ?\nOptions: a. 90, b. 100, c. 110, d. 120, e. 130", "neg": "Problem: two trains of length 100 meters and 200 meters are 450 meters apart. they are moving towards each other on parallel tracks, at speeds of 90 km / h and 72 km / h. after how many seconds will the trains meet ?\nOptions: a. 6, b. 8, c. 10, d. 12, e. 14", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}341{"query": "Problem: a courtyard is 25 meter long and 15 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. the total number of bricks required is ?\nOptions: a. 22877, b. 27778, c. 18750, d. 27999, e. 17799", "pos": "Problem: a courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. the total number of bricks required is :\nOptions: a. 16000, b. 18000, c. 20000, d. 22000, e. none of these", "neg": "Problem: how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 9 m x 6 m x 22.5 cm ?\nOptions: a. 6400, b. 6410, c. 6440, d. 7200, e. 6800", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}342{"query": "Problem: a team won 50 percent of its first 60 games in a particular season, and 80 percent of its remaining games. if the team won a total of 70 percent of its games that season, what was the total number of games that the team played ?\nOptions: a. 75, b. 90, c. 120, d. 150, e. 180", "pos": "Problem: during a certain season, a team won 75 percent of its first 100 games and 50 percent of its remaining games. if the team won 70 percent of its games for the entire season, what was the total number of games that the team played ?\nOptions: a. 180, b. 170, c. 156, d. 150, e. 125", "neg": "Problem: a soccer team played 280 games and won 65 percent of them. how many games did it win ?\nOptions: a. 182, b. 100, c. 104, d. 150, e. 124", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}343{"query": "Problem: if k and w are the dimensions of a rectangle that has area 48, and if k and w are integers such that k > w, what is the total number of possible values of k ?\nOptions: a. four, b. three, c. two, d. five, e. six", "pos": "Problem: find k if 64 / k = 4.\nOptions: a. 16, b. 17, c. 18, d. 14, e. 13", "neg": "Problem: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. through how many of the squares does a diagonal of the rectangle pass ?\nOptions: ['a. 6', 'b. 8', 'c. 10', 'd. 12', 'e. 16']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}344{"query": "Problem: a number when divided by 5, gives 45 as quotient and 0 as remainder. what will be the remainder when dividing the same number by 10\nOptions: a. a. 5, b. b. 3, c. c. 4, d. d. 6, e. e. 7", "pos": "Problem: a number when divided by 779 gives a remainder 47. by dividing the same number by 19, what would be the remainder ?\nOptions: a. 9, b. 8, c. 7, d. 6, e. 5", "neg": "Problem: what is the remainder when 43 ^ 87 is divided by 5 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}345{"query": "Problem: a certain elevator has a safe weight limit of 1950 pounds. what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 190 pounds and the average weight of the others being 200 pounds ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "pos": "Problem: the average weight of 6 person ' s increases by 4.5 kg when a new person comes in place of one of them weighing 75 kg. what might be the weight of the new person ?\nOptions: a. 160 kg, b. 175 kg, c. 180 kg, d. 102 kg, e. 190 kg", "neg": "Problem: a certain elevator has a safe weight limit of 2,000 pounds. what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}346{"query": "Problem: a and b invests rs. 8000 and rs. 12000 in a business. after 4 months, a withdraws half of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year ?\nOptions: a. 32: 99, b. 82: 31, c. 8: 15, d. 34: 89, e. 35: 21", "pos": "Problem: a and b began business with rs. 3000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 756 find the share of a.\nOptions: a. 240, b. 388, c. 288, d. 277, e. 122", "neg": "Problem: a and b invests rs. 5000 and rs. 6000 in a business. after 6 months, a withdraws two - fifth of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year ?\nOptions: a. 3: 5, b. 7: 8, c. 5: 6, d. 3: 4, e. 7: 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}347{"query": "Problem: the height of the wall is 6 times its width and length of the wall is 7 times its height. if the volume of the wall be 86436 cu. m. its width is\nOptions: a. 4 m, b. 5 m, c. 6 m, d. 7 m, e. 8 m", "pos": "Problem: how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 9 m x 6 m x 22.5 cm ?\nOptions: a. 6400, b. 6410, c. 6440, d. 7200, e. 6800", "neg": "Problem: the cross - section of a cannel is a trapezium in shape. if the cannel is 8 m wide at the top and 6 m wide at the bottom and the area of cross - section is 700 sq m, the depth of cannel is ?\nOptions: a. 76, b. 100, c. 27, d. 80, e. 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}348{"query": "Problem: money invested at x %, compounded annually, triples in value in approximately every 112 / x years. if $ 2000 is invested at a rate of 8 %, compounded annually, what will be its approximate worth in 28 years ?\nOptions: a. $ 3,750, b. $ 5,600, c. $ 8,100, d. $ 18,000, e. $ 22,500", "pos": "Problem: john invests $ x at the semi - annual constant compounded rate of 2 percent and also does $ 15,000 at the quarterly constant compounded rate of 4 percent. if the interests are the same after 1 year, what is the value of x ? ?\nOptions: a. 20000, b. 30000, c. 40000, d. 30301.5, e. 50000", "neg": "Problem: what will be the compound interest on a sum of rs. 28,000 after 3 years at the rate of 12 % p. a. ?\nOptions: a. s. 10123.77, b. s. 10123.21, c. s. 10123.20, d. s. 10123.28, e. s. 11337.98", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}349{"query": "Problem: a man buys rs. 44 shares paying 9 % dividend. the man wants to have an interest of 12 % on his money. the market value of each share is :\nOptions: a. s. 12, b. s. 15, c. s. 18, d. s. 21, e. s. 33", "pos": "Problem: adam borrowed some money at the rate of 6 % p. a. for the first two years, at the rate of 9 % p. a. for the next 3 years, and at the rate of 14 % p. a. for the period beyond 5 years. 1 £ he pays a total interest of rs. 11400 at the end of 9 years how much money did he borrow ?\nOptions: a. rs. 8000, b. rs. 09000, c. rs. 11000, d. rs. 10000, e. rs. 12000", "neg": "Problem: a man bought 40 shares of rs. 80 at 5 discount, the rate of dividend being 12 1 / 2 % the rate of interest obtained is\nOptions: a. 13.33 %, b. 15.5 %, c. 14 %, d. 14.25 %, e. 14.95 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}350{"query": "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 1 / 16 meters. what is value of the radius in meters ?\nOptions: a. 1 / 4, b. 2, c. 4, d. 8, e. 12", "pos": "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 16 meters. what is value of the radius in meters ?\nOptions: a. 1 / 2, b. 1 / 3, c. 1 / 4, d. 1 / 6, e. 1 / 8", "neg": "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 1 / 9 meters. what is value of the radius in meters ?\nOptions: a. 2, b. 3, c. 4, d. 6, e. 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}351{"query": "Problem: the duplicate ratio of 4: 5 is ?\nOptions: a. 1: 2, b. 1: 4, c. 1: 8, d. 1: 18, e. 16: 25", "pos": "Problem: the sub - duplicate ratio of 16: 64 is\nOptions: a. 4: 3, b. 1: 2, c. 1: 3, d. 1: 4, e. 2: 4", "neg": "Problem: the sub - duplicate ratio of 25: 49 is\nOptions: a. 4: 3, b. 5: 7, c. 6: 4, d. 1: 4, e. 2: 3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}352{"query": "Problem: how many different ways can 2 students be seated in a row of 5 desks, so that there is always at least one empty desk between the students ?\nOptions: a. 2, b. 3, c. 4, d. 6, e. 12", "pos": "Problem: if 5 students are made to sit in a row, then 6 do n ' t have seats. if 12 students are made to sit in a row, then 3 rows are empty. how many students have to sit a row such that each row has equal number of students and all students are seated ?\nOptions: a. 0, b. 1, c. 4, d. 5, e. 6", "neg": "Problem: in how many ways 2 boys and 2 girls can be seated in a row so that boys and girls are alternate ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}353{"query": "Problem: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg. what might be the weight of the new person ?\nOptions: a. 90 kg, b. 55 kg, c. 45 kg, d. 85 kg, e. 25 kg", "pos": "Problem: the average weight of 8 person ' s increases by 3 kg when a new person comes in place of one of them weighing 70 kg. what might be the weight of the new person ?\nOptions: a. 94 kg, b. 85 kg, c. 90 kg, d. 100 kg, e. 110 kg", "neg": "Problem: the average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person ?\nOptions: a. 75 kg, b. 65 kg, c. 55 kg, d. 85 kg, e. 105 kg", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}354{"query": "Problem: if the function q is defined by the formula q = 5 w / ( 4 h ( z ^ 2 ) ), by what factor will q be multiplied if w is quadrupled, h is doubled, and z is tripled ?\nOptions: a. 1 / 9, b. 2 / 9, c. 4 / 9, d. 3 / 9, e. 2 / 27", "pos": "Problem: if w / x = 2 / 3 and w / y = 3 / 5, then ( x + y ) / y =\nOptions: a. 4 / 5, b. 9 / 10, c. 7 / 5, d. 8 / 5, e. 9 / 5", "neg": "Problem: what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 5 ?\nOptions: a. 5, b. 9, c. 10, d. 20, e. 30", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}355{"query": "Problem: ( 856942 x 555 ) = ?\nOptions: a. 484638125, b. 474638130, c. 474638135, d. 475602810, e. 484638145", "pos": "Problem: ( 935421 x 625 ) = ?\nOptions: a. 542622125, b. 584632125, c. 544638125, d. 584638125, e. none of these", "neg": "Problem: 5358 x 71 = ?\nOptions: a. 273762, b. 283758, c. 383298, d. 273258, e. 380418", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}356{"query": "Problem: the radius of a wheel is 20.4 cm. what is the distance covered by the wheel in making 400 resolutions ?\nOptions: a. 512.448 m, b. 704 m, c. 510.448 m, d. 706 m, e. 204 m", "pos": "Problem: the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 600 resolutions ?\nOptions: a. 844.8 m, b. 704 m, c. 774 m, d. 714 m, e. 744 m", "neg": "Problem: the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 2000 resolutions ?\nOptions: a. 1187 m, b. 1704 m, c. 2816 m, d. 2827 m, e. 2897 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}357{"query": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did c get in a profit of rs. 2490 ?\nOptions: a. s. 332, b. s. 498, c. s. 822, d. s. 812, e. s. 810", "pos": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did c get in a profit of rs. 2430 ?\nOptions: a. s. 432, b. s. 486, c. s. 822, d. s. 812, e. s. 810", "neg": "Problem: a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did a get in a profit of rs. 2400 ?\nOptions: a. s. 800, b. s. 810, c. s. 820, d. s. 900, e. s. 920", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}358{"query": "Problem: a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 %. during the new year season, it further marked up its prices by 25 % of the original retail price. in february, the store then offered a discount of 20 %. what was its profit on the items sold in february ?\nOptions: a. 20 %, b. 30 %, c. 35 %, d. 37.5 %, e. 40 %", "pos": "Problem: an article with cost price of 240 is sold at 20 % profit. what is the selling price ?\nOptions: a. 288, b. 200, c. 204, d. 207, e. 210", "neg": "Problem: when sold at a 70 % discount, a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item. by what % is the sweater marked up from wholesale at its normal retail price ?\nOptions: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 78.58 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}359{"query": "Problem: if the cost price of 50 articles is equal to the selling price of 20 articles, then the gain or loss percent is ?\nOptions: a. 16, b. 127, c. 12, d. 18, e. 150", "pos": "Problem: if the selling price of 60 articles is equal to the cost price of 30 articles, then the loss or gain percent is :\nOptions: a. 55 %, b. 35 %, c. 66 %, d. 45 %, e. 50 %", "neg": "Problem: if the cost price of 50 articles is equal to the selling price of 45 articles, then the gain or loss percent is ?\nOptions: a. 11.11, b. 65, c. 78, d. 33, e. 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}360{"query": "Problem: what is rate of interest if principal. amount be 400, simple interest 160 and time 2 year.\nOptions: a. 10, b. 12.5, c. 20, d. 12, e. 14.5", "pos": "Problem: what is the rate percent when the simple interest on rs. 800 amount to rs. 128 in 4 years ?\nOptions: a. 5 %, b. 3 %, c. 4 %, d. 9 %, e. 1 %", "neg": "Problem: what is the rate percent when the simple interest on rs. 1600 amount to rs. 200 in 4 years ?\nOptions: a. 4 %, b. 3.125 %, c. 5 %, d. 6 %, e. 7 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}361{"query": "Problem: on her annual road trip to visit her family in seal beach, california, traci stopped to rest after she traveled 1 ⁄ 2 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination. she then drove the remaining 200 miles and arrived safely at her destination. what was the total distance, in miles, from traci ’ s starting point to seal beach ?\nOptions: a. 250, b. 300, c. 800, d. 400, e. 550", "pos": "Problem: during a car trip, maria stopped to rest after she traveled 1 / 2 of the total distance to her destination. she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination, and then she drove the remaining 135 miles to her detination. what was the total distance, in miles from maria ' s starting point to her destination ?\nOptions: a. 280, b. 320, c. 360, d. 420, e. 480", "neg": "Problem: on her annual road trip to visit her family in seal beach, california, traci stopped to rest after she traveled 1 ⁄ 3 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination. she then drove the remaining 300 miles and arrived safely at her destination. what was the total distance, in miles, from traci ’ s starting point to seal beach ?\nOptions: a. 600, b. 300, c. 350, d. 400, e. 550", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}362{"query": "Problem: the radius of a sphere is increased by 50 %. the increase in surface area of the sphere is :\nOptions: a. 168, b. 125, c. 186, d. 197, e. 191", "pos": "Problem: if the height of a cone is increased by 140 % then its volume is increased by ?\nOptions: ['a. 100', 'b. 140', 'c. 998', 'd. 729', 'e. 2879']", "neg": "Problem: if each edge of cube increased by 50 %, the percentage increase in\nOptions: a. 100, b. 114, c. 115, d. 125, e. 105", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}363{"query": "Problem: a man can row 4 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man ?\nOptions: a. 5.98, b. 3.98, c. 3.54, d. 3.87, e. 3.82", "pos": "Problem: the current of a stream runs at the rate of 4 kmph. a boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water ?\nOptions: a. 5, b. 6, c. 8, d. 4, e. 1", "neg": "Problem: a man can row 6 kmph in still water. when the river is running at 2 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man ?\nOptions: a. 5.32, b. 5.7, c. 5.76, d. 5.74, e. 5.71", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}364{"query": "Problem: in a certain game, each player scores either 2 points or 5 points. if n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference w between n and m ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "pos": "Problem: what is the least integer greater than – 2 + 0.5 ?\nOptions: a. – 2, b. – 1, c. 0, d. 1, e. 2", "neg": "Problem: what is the least integer greater than 0 + 0.5 ?\nOptions: a. – 2, b. – 1, c. 0, d. 1, e. 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}365{"query": "Problem: h is a positive integer and 225 and 216 are both divisors of h. if h = ( 2 ^ a. * ( 3 ^ b. * ( 5 ^ c., where a, b and c are positive integers, what is the least possible value of a + b + c ?\nOptions: a. 4, b. 8, c. 6, d. 7, e. 5", "pos": "Problem: what is the lowest positive integer that is divisible by each of the integers 1 through 8 inclusive ?\nOptions: a. 420, b. 840, c. 1260, d. 2520, e. 5020", "neg": "Problem: if x, y, and z are positive integers, and 2 x = 5 y = 8 z, then the least possible value of x + y + z is\nOptions: a. 15, b. 28, c. 33, d. 42, e. 60", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}366{"query": "Problem: if p and q are both odd prime numbers andp < q, then how many different positive integer factors does 2 pqhave ?\nOptions: a. 3, b. 4, c. 6, d. 8, e. 12", "pos": "Problem: if x and y are both odd prime numbers and x < y, how many distinct positive r integer factors does 2 xy have ?\nOptions: a. 3, b. 4, c. 6, d. 8, e. 12", "neg": "Problem: in n is a positive integer less than 200, and 2 n / 108 is an integer, then n has how many different positive prime factors ?\nOptions: a. 2, b. 3, c. 5, d. 6, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}367{"query": "Problem: the average age of 25 students in a class is 12 years. 15 students whose average age is 10 years joined them. what is the present average age.\nOptions: a. 13, b. 12.6, c. 11.25, d. 12, e. 13", "pos": "Problem: the average age of 15 students of a class is 16 years. out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. tee age of the 15 th student is ?\nOptions: a. 22 years, b. 24 years, c. 26 years, d. 28 years, e. 30 years", "neg": "Problem: the average age of 25 students in a class is 12 years. if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?\nOptions: a. 40, b. 35, c. 29, d. 38, e. 42", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}368{"query": "Problem: ? x 12 = 173 x 240\nOptions: a. 3460, b. 685, c. 865, d. 495, e. 534", "pos": "Problem: what is remainder of the division ( 1625 * 1627 * 1629 ) / 12 ?\nOptions: a. 3, b. 2, c. 1, d. 0, e. 4", "neg": "Problem: what is the prime factors ’ number of 12 ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}369{"query": "Problem: a man goes to shopkeeper and says that if u give me as much as i have, i will spend rs. 10 / - on ur shop. shopkeeper agrees and man moves to another shopkeeper ans asked same. at 3 rd shop after all the transaction, he was left with no money. find the initial amount with the man\nOptions: a. 5.75, b. 6.75, c. 7.75, d. 8.75, e. 9.75", "pos": "Problem: i have only 1 $ and 2 $ note. i want to give 95 $ to john. how many maximum number of 1 $ note i need ?\nOptions: a. 53, b. 35, c. 47, d. 95, e. 62", "neg": "Problem: jansi went out for shopping. she had in her handbag approximately rs. 15 / - in one rupee notes and 20 p. coins. when she returned she had as many one rupee notes as she originally had and as many 20 p. coins as she originally had one rupee notes. she actually came back with about one - third of what she had started out with. how much did she spend and exactly how much did she have with her when she started out ?\nOptions: a. 9.6, b. 10.6, c. 11.0, d. 9.4, e. 8.1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}370{"query": "Problem: what is the average ( arithmetic mean ) of the numbers 15, 16, 17, 17, 18, and 19 ?\nOptions: a. 14.2, b. 16.5, c. 17, d. 17.5, e. 18", "pos": "Problem: find the average of the first 19 natural numbers ?\nOptions: a. 8, b. 9, c. 10, d. 11, e. 12", "neg": "Problem: the average of first 12 even numbers is ?\nOptions: a. 19, b. 18, c. 16, d. 13, e. 17", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}371{"query": "Problem: a starts a business with $ 3500. after 5 months, b joins with a as his partner. after a year, the profit is divided in the ratio 2: 3. b ' s contribution in the capital is\nOptions: a. 7000, b. 9000, c. 8000, d. 9900, e. 7900", "pos": "Problem: x starts a business with rs. 45000. y joins in the business after 3 months with rs. 30000. what will be the ratio in which they should share the profit at the end of the year ?\nOptions: a. 1: 2, b. 2: 1, c. 1: 3, d. 3: 1, e. 1: 1", "neg": "Problem: praveen starts business with rs. 3780 and after 5 months, hari joins with praveen as his partner. after a year, the profit is divided in the ratio 2: 3. what is hari ’ s contribution in the capital ?\nOptions: a. s. 7500, b. s. 8000, c. s. 8500, d. s. 9720, e. s. 6000", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}372{"query": "Problem: two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet ?\nOptions: a. 22 sec, b. 23 sec, c. 76 sec, d. 20 sec, e. 66 sec", "pos": "Problem: two trains each 180 m in length are running on the same parallel lines in opposite directions with the speed of each 80 kmph. in what time will they cross each other completely ?\nOptions: a. 7.8 sec, b. 8.1 sec, c. 8.3 sec, d. 8.2 sec, e. 8.4 sec", "neg": "Problem: two trains 140 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is ?\nOptions: a. 11.88 sec, b. 13.8 sec, c. 53.8 sec, d. 10.8 sec, e. 10.4 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}373{"query": "Problem: a train running at the speed of 60 km / hr crosses a pole in 7 sec. what is the length of the train ?\nOptions: a. 112.21, b. 27.21, c. 117.66, d. 277, e. 116.66", "pos": "Problem: a train running at the speed of 60 km / hr crosses a pole in 15 seconds. find the length of the train.\nOptions: a. 150 m, b. 145 m, c. 240 m, d. 135 m, e. 250 m", "neg": "Problem: a train running at the speed of 70 km / hr crosses a pole in 9 sec. what is the length of the train ?\nOptions: a. 227 m, b. 150 m, c. 167 m, d. 175 m, e. 187 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}374{"query": "Problem: sand is poured into a box so that the box is being filled at the rate of 4 cubic feet per hour. if the empty rectangular box is 7 feet long, 6 feet wide, and 2 feet deep, approximately how many hours does it take to fill the box ?\nOptions: ['a. 20', 'b. 21', 'c. 22', 'd. 23', 'e. 24']", "pos": "Problem: how many cubes of 20 cm edge can be put in a cubical box of 1 m edge.\nOptions: a. 177 cm, b. 125 cm, c. 786 cm, d. 617 cm, e. 187 cm", "neg": "Problem: a cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. the bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. the radius of the heap at the base is :\nOptions: ['a. 63 cm', 'b. 53 cm', 'c. 56 cm', 'd. 66 cm', 'e. none of these']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}375{"query": "Problem: a train 150 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :\nOptions: a. 22, b. 50, c. 99, d. 288, e. 59", "pos": "Problem: a 150 meter long train crosses a man standing on the platform in 3 sec. what is the speed of the train ?\nOptions: a. 176 kmph, b. 108 kmph, c. 176 kmph, d. 134 kmph, e. 180 kmph", "neg": "Problem: a train 100 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is ?\nOptions: a. 28, b. 50, c. 88, d. 41, e. 12", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}376{"query": "Problem: last year a worker saved 4 % of her annual salary. this year, she made 10 % more money than last year and she saved 5 % of her salary. the amount she saved this year was what percent of the amount she saved last year ?\nOptions: a. 137.5 %, b. 142.5 %, c. 147.5 %, d. 152.5 %, e. 157.5 %", "pos": "Problem: last year sandy saved 10 % of her annual salary. this year, she made 10 % more money than last year, and she saved 6 % of her salary. the amount saved this year was what percent of the amount she saved last year ?\nOptions: a. 66 %, b. 80 %, c. 112 %, d. 136 %, e. 148 %", "neg": "Problem: last year a worker saved 6 % of her annual salary. this year, she made 20 % more money than last year and she saved 5 % of her salary. the amount she saved this year was what percent of the amount she saved last year ?\nOptions: a. 90 %, b. 100 %, c. 110 %, d. 120 %, e. 130 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}377{"query": "Problem: two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 40 km and the other at the rate of 50 kmph. in what time will they be completely clear of each other from the moment they meet ?\nOptions: a. 11.04, b. 10.0, c. 6.85, d. 5.85, e. 6.15", "pos": "Problem: two trains 140 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is ?\nOptions: a. 11.88 sec, b. 13.8 sec, c. 53.8 sec, d. 10.8 sec, e. 10.4 sec", "neg": "Problem: two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet ?\nOptions: a. 22 sec, b. 23 sec, c. 76 sec, d. 20 sec, e. 66 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}378{"query": "Problem: a corporation paid $ 10 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits. by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits ?\nOptions: a. 0 %, b. 14 %, c. 20 %, d. 23 %, e. 43 %", "pos": "Problem: robert ' s salary was increased by 50 % and subsequently decreased by 10 %. how much percentage does he gain ?\nOptions: a. 15 %, b. 20 %, c. 10 %, d. 25 %, e. 30 %", "neg": "Problem: a corporation that had $ 115.19 billion in profits for the year paid out $ 230.10 million in employee benefits. approximately what percent of the profits were the employee benefits ? ( note: 1 billion = 10 ^ 9 )\nOptions: a. 50 %, b. 20 %, c. 5 %, d. 2 %, e. 0.2 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}379{"query": "Problem: a and b walk around a circular track. they start at 8 a. m from the same point in the opposite directions. a and b walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. how many times shall they cross each other before 9 a. m\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "pos": "Problem: brenda and sally run in opposite direction on a circular track, starting at diametrically opposite points. they first meet after brenda has run 50 meters. they next meet after sally has run 150 meters past their first meeting point. each girl runs at a constant speed. what is the length of the track in meters ?\nOptions: a. 250, b. 300, c. 350, d. 400, e. 500", "neg": "Problem: a and b go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph. after how much time will they meet for the first time at the starting point ?\nOptions: a. 120 sec, b. 198 sec, c. 178 sec, d. 20 sec, e. 276 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}380{"query": "Problem: the product x of two prime numbers is between 17 and 100. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then x =\nOptions: a. 18, b. 29, c. 37, d. 44, e. 95", "pos": "Problem: the product x of two prime numbers is between 17 and 55. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 11 but less than 25, then x =\nOptions: a. 18, b. 29, c. 37, d. 44, e. 65", "neg": "Problem: set x consists of all two - digit primes and set y consists of all positive even multiples of 5 less than 100. if the two sets are combined into one, what will be the range of the new set ?\nOptions: a. 87, b. 89, c. 90, d. 92, e. 95", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}381{"query": "Problem: 10 men and 15 women together can complete a work in 6 days. it takes 100 days for one man alone to complete the same work. how many days will be required for one woman alone to complete the same work ?\nOptions: a. 127 days, b. 667 days, c. 177 days, d. 187 days, e. 225 days", "pos": "Problem: 10 men and 15 women together can complete a work in 8 days. it takes 100 days for one man alone to complete the same work. how many days will be required for one woman alone to complete the same work ?\nOptions: a. 127 days, b. 667 days, c. 177 days, d. 187 days, e. 600 days", "neg": "Problem: 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.\nOptions: a. 4 days, b. 6 days, c. 2 days, d. 8 days, e. 10 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}382{"query": "Problem: in a basket of apples, 12 % of them are rotten and 66 are in good condition. find the total number of apples in the basket.\nOptions: a. 33, b. 75, c. 23, d. 20, e. 287", "pos": "Problem: there are 9 baskets numbered from 1 to 9 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end ?\nOptions: a. 440, b. 550, c. 660, d. 770, e. 880", "neg": "Problem: the contents of a certain box consist of 20 apples and 30 oranges. how many oranges must be added to the box so that exactly 20 % of the pieces of fruit in the box will be apples ?\nOptions: a. 50, b. 55, c. 75, d. 85, e. 100", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}383{"query": "Problem: a distributor sells a product through an on - line store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 15 per item. what is the price that the buyer observers on - line if the distributor wants to maintain a 25 % profit on the cost of the item ?\nOptions: a. 18, b. 21.6, c. 22, d. 22.5, e. 24", "pos": "Problem: a merchant sells an item at a 20 % discount, but still makes a gross profit of 40 percent of the cost. what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?\nOptions: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 75 %", "neg": "Problem: a distributor sells a product through an on - line store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 15 per item. what is the price that the buyer observers on - line if the distributor wants to maintain a 30 % profit on the cost of the item ?\nOptions: a. 18, b. 21.6, c. 22, d. 25.7, e. 27", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}384{"query": "Problem: a piece of cloth cost rs 35. if the length of the piece would have been 4 m longer and each meter cost re 1 less, the cost would have remained unchanged. how long is the piece ?\nOptions: a. 5 mtrs, b. 10 mtrs, c. 12 mtrs, d. 15 mtrs, e. 18 mtrs", "pos": "Problem: a trader sells 85 meters of cloth for rs. 8500 at the profit of rs. 15 per metre of cloth. what is the cost price of one metre of cloth ?\nOptions: a. rs. 80, b. rs. 85, c. rs. 90, d. rs. 95, e. none of these", "neg": "Problem: a bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. if the total value is 35, how many coins of each type are there ?\nOptions: a. 20 coins, b. 30 coins, c. 28 coins, d. 25 coins, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}385{"query": "Problem: what is the average of 4 tenths and 5 thousandths ?\nOptions: a. 0.2022, b. 0.2012, c. 0.2025, d. 0.2021, e. 0.2029", "pos": "Problem: what is the average ( arithmetic mean ) of the numbers 15, 16, 17, 17, 18, and 19 ?\nOptions: a. 14.2, b. 16.5, c. 17, d. 17.5, e. 18", "neg": "Problem: the average of numbers 0.34204, 0.34203, 0.34202 and 0.34201 is ?\nOptions: a. 0.34202, b. 0.34204, c. 0.342022, d. 0.342025, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}386{"query": "Problem: the average weight of a, b and c is 43 kg. if the average weight of a and b be 48 kg and that of b and c be 42 kg, then the weight of b is :\nOptions: a. 55 kg, b. 53 kg, c. 49 kg, d. 52 kg, e. 51 kg", "pos": "Problem: the average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person ?\nOptions: a. 75 kg, b. 65 kg, c. 55 kg, d. 85 kg, e. 105 kg", "neg": "Problem: the average waight of a, b, c is 45 kg. the avgwgt of a & b be 40 kg & that of b, c be 43 kg. find the wgt of b.\nOptions: a. 23 kg, b. 43 kg, c. 21 kg, d. 31 kg, e. 43 kg", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}387{"query": "Problem: pipe p can fill a tank in 3 hours, pipe q in 9 hours and pipe r in 18 hours. if all the pipes are open, in how many hours will the tank be filled ?\nOptions: a. 2 hours, b. 2.4 hours, c. 3 hours, d. 3.5 hours, e. 4.5 hours", "pos": "Problem: two pipes a and b can fill a tank in 36 hours and 46 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank ?\nOptions: a. 20.195 hrs, b. 21.195 hrs, c. 22.195 hrs, d. 23.195 hrs, e. 20.495 hrs", "neg": "Problem: pipe a fills a tank in 12 minutes. pipe b can fill the same tank 3 times as fast as pipe a. if both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank ?\nOptions: a. 4 mins, b. 6 mins, c. 5 mins, d. 3 mins, e. 7 mins", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}388{"query": "Problem: if the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 25 minutes ?\nOptions: a. 80, b. 100, c. 150, d. 240, e. 300", "pos": "Problem: the rate of spin of a certain gyroscope doubled every 15 seconds from the moment a particular stopwatch started. if after a minute and a half the gyroscope reached a speed of 400 meters per second, what was the speed, in meters per second, when the stopwatch was started ?\nOptions: a. 25 / 2, b. 25 / 4, c. 25 / 8, d. 25 / 16, e. 25 / 32", "neg": "Problem: if the population of a certain country increases at the rate of one person every 45 seconds, by how many persons does the population increase in 1 hour ?\nOptions: a. 80, b. 120, c. 150, d. 180, e. 160", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}389{"query": "Problem: a monkey ascends a greased pole 10 meters high. he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. if this pattern continues until he climbs the pole, in how many minutes would he reach at the top of the pole ?\nOptions: a. 10 th minute, b. 21 st minute, c. 17 th minute, d. 22 nd minute, e. 13 th minute", "pos": "Problem: if 7 cats can kill 7 rats in 7 minutes, how long will it take 100 cats to kill 100 rats ?\nOptions: a. 5 minutes, b. 6 minutes, c. 7 minutes, d. 8 minutes, e. 9 minutes", "neg": "Problem: hillary and eddy are climbing to the summit of mt. everest from a base camp 4,900 ft from the summit. when they depart for the summit at 06: 00, hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr. if hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft / hr, at what time do hillary and eddy pass each other on her return trip ?\nOptions: a. 10.0, b. 11.0, c. 13.0, d. 12.0, e. 14.0", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}390{"query": "Problem: the number 35 is equal to the sum of the cubes of two integers. what is the product of those integers ?\nOptions: a. 6, b. 15, c. 21, d. 27, e. 39", "pos": "Problem: the sum of two consecutive numbers is 37. what are they ?\nOptions: a. 18 and 19, b. 18 and 21, c. 18 and 23, d. 19 and 20, e. none", "neg": "Problem: the number 133 is equal to the sum of the cubes of two integers. what is the product of those integers ?\nOptions: a. 8, b. 15, c. 21, d. 27, e. 10", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}391{"query": "Problem: fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans: 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 22 percent, what is the discount rate on pony jeans ?\nOptions: a. 9 %, b. 10 %, c. 11 %, d. 12 %, e. 13 %", "pos": "Problem: john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price. if the final price was $ 17, what was the price before the first discount ?\nOptions: a. $ 45.10, b. $ 30.22, c. $ 28.44, d. $ 67.54, e. $ 65.23", "neg": "Problem: fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 8.91 is saved by purchasing 5 pairs of jeans: 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discount rates is 22 percent, what is the discount rate on pony jeans ?\nOptions: a. 9 %, b. 10 %, c. 11 %, d. 12 %, e. 15 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}392{"query": "Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively. a third pipe c can drain off 42 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank ?\nOptions: a. 542, b. 504, c. 548, d. 829, e. 279", "pos": "Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively. a third pipe c can drain off 45 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank ?\nOptions: a. 399, b. 540, c. 772, d. 272, e. 121", "neg": "Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively. a third pipe c can drain off 36 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank ?\nOptions: a. 542, b. 540, c. 514, d. 829, e. 432", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}393{"query": "Problem: if i walk at 4 km / h, i miss the bus by 10 minutes. if i walk at 5 km / h, i reach 5 minutes before the arrival of the bus. how far i walk to reach the bus stand ?\nOptions: a. 5 km, b. 4.5 km, c. 5 1 ⁄ 4 km / h, d. can not be determined, e. none of these", "pos": "Problem: if i walk at 6 km / h, i miss the bus by 12 minutes. if i walk at 5 km / h, i reach 14 minutes before the arrival of the bus. how far i walk to reach the bus stand ?\nOptions: a. 13 km, b. 12 km, c. 11 km, d. 6.5 km, e. 5.5 km", "neg": "Problem: walking at 4 / 5 of her normal speed, a worker is 10 minutes later than usual in reaching her office. the usual time ( in minutes ) taken by her to cover the distance between her home and her office is\nOptions: a. 30, b. 35, c. 40, d. 45, e. 50", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}394{"query": "Problem: a jogger running at 9 kmph along side a railway track is 260 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. in how much time will the train pass the jogger ?\nOptions: a. 3.6 sec, b. 38 sec, c. 36 sec, d. 72 sec, e. none of these", "pos": "Problem: a train 110 m long is running with a speed of 90 km / h. in how many seconds will the train pass a man who is running at 9 km / h in the direction opposite to that in which the train is going ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "neg": "Problem: a jogger running at 9 km / hr along side a railway track is 250 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger ?\nOptions: a. 37 sec, b. 89 sec, c. 36 sec, d. 87 sec, e. 45 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}395{"query": "Problem: mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 2 children and 6 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive ?\nOptions: a. 20 %, b. 17 %, c. 5.5 %, d. 3.3 %, e. 2.8 %", "pos": "Problem: mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 3 children and 5 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive ?\nOptions: a. 20 %, b. 17 %, c. 5.0 %, d. 3.3 %, e. 2.8 %", "neg": "Problem: mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 3 children and 6 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive ?\nOptions: a. 16.25 %, b. 8.25 %, c. 4.25 %, d. 6.25 %, e. 7.25 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}396{"query": "Problem: find the quotient when total no. of divisors of 16 ! is divided by right most non - zero digit of 15 !\nOptions: a. 672, b. 682, c. 692, d. 745, e. 845", "pos": "Problem: whats the reminder when 58, 458,965, 231,457, 895,684, 525,465, 985,445 is divided by 16\nOptions: a. 5, b. 7., c. 2., d. 3, e. 9", "neg": "Problem: whats the reminder when 65,985, 241,545, 898,754, 582,556, 898,522, 454,889 is divided by 16\nOptions: a. 1, b. 7., c. 2., d. 3, e. 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}397{"query": "Problem: if the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is ?\nOptions: a. a. 16, b. b. 10, c. c. 14, d. d. 12, e. e. 11", "pos": "Problem: the diameter of the driving wheel of a bus in 140 cm. how many revolutions per minute must the wheel make in order to keep a speed of 14 kmph ?\nOptions: a. 53.03, b. 50.01, c. 23.23, d. 24.23, e. 41.23", "neg": "Problem: if the wheel is 12 cm then the number of revolutions to cover a distance of 1056 cm is ?\nOptions: a. 18, b. 26, c. 14, d. 12, e. 91", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}398{"query": "Problem: calculate the area of a triangle, if the sides of are 65 cm, 60 cm and 25 cm, what is its area ?\nOptions: a. 850 cm 2, b. 750 cm 2, c. 450 cm 2, d. 550 cm 2, e. 650 cm 2", "pos": "Problem: the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle\nOptions: a. a. 72, b. b. 45, c. c. 729, d. d. 34, e. e. 35", "neg": "Problem: if the sides of a triangle are 26 cm, 24 cm and 15 cm, what is its area ?\nOptions: a. 120, b. 772, c. 180, d. 266, e. 2848", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}399{"query": "Problem: if an object travels at 9 feet per second, how many feet does it travel in one hour ?\nOptions: a. 32400, b. 30000, c. 32000, d. 1800, e. 22000", "pos": "Problem: convert the 17 / 36 m / s into kilometers per hour ?\nOptions: a. 1.7, b. 1.5, c. 1.3, d. 1.1, e. 1.2", "neg": "Problem: if an object travels 300 feet in 6 seconds, what is the object ' s approximate speed in miles per hour ? ( note: 1 mile = 5280 feet )\nOptions: a. 30, b. 31, c. 32, d. 33, e. 34", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}400{"query": "Problem: the admission charge in a water park is $ 1 by adult and $ 0.75 by child accompanying an adult. how much was there of child with an adult who paid in quite $ 3.25 to have access to the water park ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "pos": "Problem: visitors to show were charged rs. 15 each on the first day. rs. 7.50 on the second day, rs. 2.50 on the third day and total attendance on the 3 days were in ratio 2: 5: 13 respectively. the average charge per person for the whole show is ?\nOptions: a. 1, b. 4, c. 5, d. 6, e. 8", "neg": "Problem: the total cost of a vacation was divided among 3 people. if the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $ 60 less. what was the total cost cost of the vacation ?\nOptions: a. $ 200, b. $ 300, c. $ 400, d. $ 720, e. $ 600", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}401{"query": "Problem: mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 3 children and 5 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive ?\nOptions: a. 20 %, b. 17 %, c. 5.0 %, d. 3.3 %, e. 2.8 %", "pos": "Problem: mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 2 children and 6 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive ?\nOptions: a. 20 %, b. 17 %, c. 5.5 %, d. 3.3 %, e. 2.8 %", "neg": "Problem: mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 3 children and 6 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive ?\nOptions: a. 16.25 %, b. 8.25 %, c. 4.25 %, d. 6.25 %, e. 7.25 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}402{"query": "Problem: the l. c. m of two numbers is 495 and their h. c. f is 5. if the sum of the numbers is 100, then their difference is\nOptions: a. 19, b. 10, c. 28, d. 27, e. 29", "pos": "Problem: difference of 2 numbers is 100. if 5 % of one number is 10 % of the other number, find the addition of 2 numbers ?\nOptions: a. 150, b. 300, c. 210, d. 290, e. 180", "neg": "Problem: if the l. c. m of two numbers is 560 and their product is 42000, find the h. c. f of the numbers.\nOptions: a. 50, b. 30, c. 75, d. 25, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}403{"query": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 48 and 72\nOptions: a. 126, b. 184, c. 168, d. 154, e. 186", "pos": "Problem: if p # q denotes the least common multiple of p and q, then e = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ?\nOptions: a. 216, b. 180, c. 144, d. 108, e. 72", "neg": "Problem: what is the sum of the greatest common factor and the lowest common multiple of 16 and 72 ?\nOptions: a. 142, b. 152, c. 124, d. 160, e. 184", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}404{"query": "Problem: the area of a square is 4225 sq cm. find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.\nOptions: a. 5: 28, b. 5: 19, c. 5: 12, d. 5: 13, e. 41: 130", "pos": "Problem: two cubes of their volumes in the ratio 64: 125. the ratio of their surface area is :\nOptions: a. 1.5: 5, b. 2: 5, c. 3: 5, d. 1: 5, e. 4: 5", "neg": "Problem: the ratio of radius of a circle and the side of a square is 2: 5. find the ratio of their areas :\nOptions: a. 2: 1, b. 4: 25, c. 8: 77, d. 4: 121, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}405{"query": "Problem: jisha walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. how many miles in total did she walk ?\nOptions: a. 24, b. 44, c. 58, d. 60, e. 62", "pos": "Problem: patanjali walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. how many miles in total did she walk ?\nOptions: a. 24, b. 44, c. 58, d. 60, e. 62", "neg": "Problem: a hiker walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day 5 miles per hour for 6 hours. how many miles in total did she walk ?\nOptions: a. 68, b. 44, c. 58, d. 60, e. 62", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}406{"query": "Problem: the spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. the diameters of two of these are 1 1 / 2 cm and 2 cm respectively. the diameter of third ball is ?\nOptions: a. 2.8, b. 2.5, c. 2.2, d. 2.0, e. 2.1", "pos": "Problem: in one alloy there is 12 % chromium while in another alloy it is 8 %. 35 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy. find the percentage of chromium in the new alloy.\nOptions: a. 8.8 %, b. 9.75 %, c. 9.2 %, d. 8.6 %, e. 8.4 %", "neg": "Problem: a solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. the height of the cone is :\nOptions: ['a. 8 cm', 'b. 6 cm', 'c. 4 cm', 'd. 3 cm', 'e. none']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}407{"query": "Problem: thirty percent of the members of a swim club have passed the lifesaving test. among the members who have not passed the test, 21 have taken the preparatory course and 42 have not taken the course. how many members are there in the swim club ?\nOptions: a. 40, b. 60, c. 80, d. 90, e. 140", "pos": "Problem: in a sports club with 42 members, 20 play badminton and 23 play tennis and 6 do not play either. how many members play both badminton and tennis ?\nOptions: a. 3, b. 5, c. 6, d. 7, e. 8", "neg": "Problem: thirty percent of the members of a swim club have passed the lifesaving test. among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. how many members are there in the swim club ?\nOptions: a. 60, b. 80, c. 100, d. 120, e. 140", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}408{"query": "Problem: ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent. overall he make a.\nOptions: a. 228, b. 288, c. 500, d. 200, e. 881", "pos": "Problem: a man buys a cycle for rs. 2800 and sells it at a loss of 25 %. what is the selling price of the cycle ?\nOptions: a. s. 2090, b. s. 2160, c. s. 2100, d. s. 2202, e. s. 2092", "neg": "Problem: ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 11 percent. overall he make a.\nOptions: a. 228, b. 288, c. 27, d. 200, e. 280", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}409{"query": "Problem: on a map the distance between two mountains is 312 inches. the actual distance between the mountains is 136 km. ram is camped at a location that on the map is 28 inch from the base of the mountain. how many km is he from the base of the mountain ?\nOptions: a. 14.83, b. 12.2, c. 14.8, d. 14.82, e. 14.12", "pos": "Problem: convert 300 miles into km ?\nOptions: a. 360 km, b. 480 km, c. 510 km, d. 320 km, e. 500 km", "neg": "Problem: on a map the distance between two mountains is 312 inches. the actual distance between the mountains is 136 km. ram is camped at a location that on the map is 34 inch from the base of the mountain. how many km is he from the base of the mountain ?\nOptions: ['a. 14.83', 'b. 14.81', 'c. 14.8', 'd. 14.82', 'e. 14.12']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}410{"query": "Problem: positive integer y is 50 percent of 25 percent of positive integer x, and y percent of x equals 100. what is the value of y ?\nOptions: a. 50, b. 125, c. 200, d. 1,000, e. 2,000", "pos": "Problem: difference of 2 numbers is 100. if 5 % of one number is 10 % of the other number, find the addition of 2 numbers ?\nOptions: a. 150, b. 300, c. 210, d. 290, e. 180", "neg": "Problem: positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of y ?\nOptions: a. 50, b. 100, c. 200, d. 1,000, e. 2,000", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}411{"query": "Problem: in simple interest what sum amounts of rs. 1120 / - in 4 years and rs. 1200 / - in 5 years ?\nOptions: a. rs. 500, b. rs. 600, c. rs. 800, d. rs. 900, e. rs. 700", "pos": "Problem: a sum of money at simple interest amounts to rs. 720 after 2 years and to rs. 1020 after a further period of 5 years. the sum is :\nOptions: a. 400, b. 500, c. 600, d. 700, e. 800", "neg": "Problem: a sum of money at simple interest amounts to rs. 815 in 2 years and to rs. 854 in 4 years. the sum is :\nOptions: a. s. 650, b. s. 690, c. s. 698, d. s. 700, e. s. 737", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}412{"query": "Problem: if 9 a - b = 10 b + 50 = - 12 b - 2 a, what is the value of 11 a + 11 b ?\nOptions: a. - 4, b. - 2, c. 0, d. 2, e. 4", "pos": "Problem: if a 2 - b 2 = 10 and a * b = 5, find a 4 + b 4.\nOptions: a. 50, b. 100, c. 150, d. 92, e. 25", "neg": "Problem: find a two digit number, given that the sum of the digits is 11 and the difference of the digits is 5. ?\nOptions: a. 78, b. 53, c. 89, d. 83, e. 99", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}413{"query": "Problem: the current of a stream runs at the rate of 4 kmph. a boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water ?\nOptions: a. 5, b. 6, c. 8, d. 4, e. 1", "pos": "Problem: the speed of a boat in still water in 42 km / hr and the rate of current is 4 km / hr. the distance travelled downstream in 44 minutes is :\nOptions: a. 86.6 km, b. 46.6 km, c. 33.7 km, d. 35.6 km, e. 26.6 km", "neg": "Problem: the speed of a boat in still water is 14 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 8 minutes is\nOptions: a. 1.6 km, b. 2.5 km, c. 3.6 km, d. 4 km, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}414{"query": "Problem: cathy and jim begin running at the same time and they start at the same place on a straight path. cathy runs at 10 miles per hour, and jim runs at 6 miles per hour. after 18 minutes, cathy stops to stretch. if it takes cathy 27 minutes to stretch and jim continues to run during this time, how many minutes will it take cathy to catch up to jim ?\nOptions: a. 20.5, b. 21.5, c. 22.5, d. 23.5, e. 24.5", "pos": "Problem: john and amanda stand at opposite ends of a straight road and start running towards each other at the same moment. their rates are randomly selected in advance so that john runs at a constant rate of 3, 4, or 5 miles per hour and amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. what is the probability that john has traveled farther than amanda by the time they meet ?\nOptions: a. 1 / 2, b. 1 / 3, c. 1 / 5, d. 2 / 15, e. 4 / 15", "neg": "Problem: 9. on level farmland, two runners leave at the same time from the intersection of two country roads. one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 8 miles per hour faster than the first runner ' s rate. how far apart, to the nearest mile, will they be after 1 / 2 hour ?\nOptions: a. 6, b. 7, c. 8, d. 12, e. 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}415{"query": "Problem: the speed of a car is 65 km in the first hour and 45 km in the second hour. what is the average speed of the car ?\nOptions: a. 72 kmph, b. 55 kmph, c. 50 kmph, d. 80 kmph, e. 82 kmph", "pos": "Problem: the speed of a car is 85 km in the first hour and 45 km in the second hour. what is the average speed of the car ?\nOptions: a. 72 kmph, b. 65 kmph, c. 30 kmph, d. 80 kmph, e. 82 kmph", "neg": "Problem: the speed of a car is 95 km in the first hour and 60 km in the second hour. what is the average speed of the car ?\nOptions: a. 76 kmph, b. 75 kmph, c. 77.5 kmph, d. 56 kmph, e. 86 kmph", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}416{"query": "Problem: set x consists of all two - digit primes and set y consists of all positive multiples of 4 less than 100. if the two sets are combined into one, what will be the range of the new set ?\nOptions: a. 84, b. 93, c. 90, d. 92, e. 95", "pos": "Problem: if s = x ^ 4 + y ^ 4 = 100, then the greatest possible value of x is between\nOptions: a. 0 and 3, b. 3 and 6, c. 6 and 9, d. 9 and 12, e. 12 and 15", "neg": "Problem: set x consists of all two - digit primes and set y consists of all positive even multiples of 5 less than 100. if the two sets are combined into one, what will be the range of the new set ?\nOptions: a. 87, b. 89, c. 90, d. 92, e. 95", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}417{"query": "Problem: car z travels 50 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?\nOptions: a. 320, b. 375.2, c. 400, d. 408.3, e. 440", "pos": "Problem: a certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. if the car had started with a full tank and had 6 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph ?\nOptions: a. 15 %, b. 20 %, c. 25 %, d. 30 %, e. 40 %", "neg": "Problem: a certain car uses 12 gallons of gasoline in traveling 120 miles. in order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car ’ s gas mileage be increased ?\nOptions: a. 2, b. 4, c. 6, d. 8, e. 10", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}418{"query": "Problem: 30 % of employees are women with fair hair. 40 % of fair - haired employees are women. what percent of employees have fair hair ?\nOptions: a. 25, b. 30, c. 50, d. 55, e. 75", "pos": "Problem: in a certain company, a third of the workers do not have a retirement plan. 40 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 120 of the workers of that company are men, how many of the workers are women ?\nOptions: a. 80, b. 95, c. 105, d. 120, e. 137", "neg": "Problem: if 40 % of ( x - y ) = 30 % of ( x + y ) then what percent of x is y ?\nOptions: a. 2.5 %, b. 10 %, c. 5 %, d. 14 %, e. 25 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}419{"query": "Problem: the mean daily profit made by a shopkeeper in a month of 30 days was rs. 350. if the mean profit for the first fifteen days was rs. 255, then the mean profit for the last 15 days would be\nOptions: a. rs. 200, b. rs. 445, c. rs. 275, d. rs. 425, e. none of these", "pos": "Problem: a grocer has a sale of rs. 5420, rs. 5660, rs. 6200, rs. 6350 and rs. 6500 for 5 consecutive months. find the sale he should have in the sixth month, so that he gets an average sale of rs. 6400 ?\nOptions: a. rs. 5870, b. rs. 8270, c. rs. 6020, d. rs. 6850, e. none of these", "neg": "Problem: average expenditure of a person for the first 3 days of a week is rs. 320 and for the next 4 days is rs. 420. average expenditure of the man for the whole week is :\nOptions: a. 350, b. 370, c. 390, d. 360, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}420{"query": "Problem: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. through how many of the squares does a diagonal of the rectangle pass ?\nOptions: ['a. 6', 'b. 8', 'c. 10', 'd. 12', 'e. 16']", "pos": "Problem: the area of the square formed on the diagonal of a rectangle as its side is 108 1 / 3 % more than the area of the rectangle. if the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle ?\nOptions: ['a. 5', 'b. 4', 'c. 7', 'd. 2', 'e. 1']", "neg": "Problem: a rectangle measures 8 cm on length and its diagonal measures 17 cm. what is the perimeter of the rectangle ?\nOptions: ['a. 44 cm', 'b. 42 cm', 'c. 46 cm', 'd. 49 cm', 'e. 41 cm']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}421{"query": "Problem: if x + y = 3 and x 2 y 3 + y 2 x 3 = 27, what is the value of xy ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "pos": "Problem: if x and y are positive integers and 3 + x + y + xy = 17, what is the value of x + y ?\nOptions: a. 3, b. 5, c. 6, d. 8, e. 9", "neg": "Problem: if x + y = 4 and x 2 y 3 + y 2 x 3 = 36, what is the value of xy ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}422{"query": "Problem: the balance of a trader weighs 10 % less than it should. still the trader marks up his goods to get an overall profit of 20 %. what is the mark up on the cost price ?\nOptions: a. 40 %, b. 8 %, c. 25 %, d. 16.66 %, e. 9 %", "pos": "Problem: a dishonest dealer claims to sell a product at its cost price. he uses a counterfeit weight which is 20 % less than the real weight. further greed overtook him and he added 40 % impurities to the product. find the net profit percentage of the dealer ?\nOptions: a. 94 %, b. 87.5 %, c. 55 %, d. 56.25 %, e. 36 %", "neg": "Problem: a merchant sells an item at a 20 % discount, but still makes a gross profit of 40 percent of the cost. what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?\nOptions: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 75 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}423{"query": "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 16 meters. what is value of the radius in meters ?\nOptions: a. 1 / 2, b. 1 / 3, c. 1 / 4, d. 1 / 6, e. 1 / 8", "pos": "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 1 / 16 meters. what is value of the radius in meters ?\nOptions: a. 1 / 4, b. 2, c. 4, d. 8, e. 12", "neg": "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 1 / 9 meters. what is value of the radius in meters ?\nOptions: a. 2, b. 3, c. 4, d. 6, e. 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}424{"query": "Problem: working together, wayne and his son can shovel the entire driveway in three hours. if wayne can shovel six times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own ?\nOptions: a. 4, b. 6, c. 8, d. 7, e. 12", "pos": "Problem: bruce and anne can clean their house in 4 hours working together at their respective constant rates. if anne ’ s speed were doubled, they could clean their house in 3 hours working at their respective rates. how many d hours does it currently take anne to clean the house on her own ?\nOptions: a. 6, b. 7, c. 8, d. 12, e. 14", "neg": "Problem: working alone, mary can pave a driveway in 4 hours and hillary can pave the same driveway in 3 hours. when they work together, mary thrives on teamwork so her rate increases by 33.33 %, but hillary becomes distracted and her rate decreases by 50 %. if they both work together, how many hours will it take to pave the driveway ?\nOptions: a. 2 hours, b. 4 hours, c. 5 hours, d. 6 hours, e. 7 hours", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}425{"query": "Problem: a 600 meter long train crosses a signal post in 40 seconds. how long will it take to cross a 7.2 kilometer long bridge, at the same speed ?\nOptions: a. 4 min, b. 2 min, c. 8 min, d. 9 min, e. 3 min", "pos": "Problem: a train 250 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 150 m long ?\nOptions: a. 45 sec, b. 42 sec, c. 32 sec, d. 48 sec, e. 25 sec", "neg": "Problem: a 600 meter long train crosses a signal post in 30 seconds. how long will it take to cross a 3 kilometer long bridge, at the same speed ?\nOptions: a. 4 min, b. 2 min, c. 8 min, d. 3 min, e. 5 min", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}426{"query": "Problem: a bag contains 6 black and 7 white balls. one ball is drawn at random. what is the probability that the ball drawn is white ?\nOptions: a. 4, b. 4 / 3, c. 4 / 5, d. 4 / 9, e. 7 / 13", "pos": "Problem: a bag contains 7 black and 8 white balls. if two balls are drawn simultaneously, what is the probability that both are of the same color is ?\nOptions: a. 1 / 2, b. 1 / 3, c. 2 / 3, d. 3 / 5, e. 7 / 15", "neg": "Problem: a bag contains 6 black and 4 white balls. one ball is drawn at random. what is the probability that the ball drawn is white ?\nOptions: a. 3 / 4, b. 2 / 5, c. 1 / 7, d. 1 / 8, e. 4 / 3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}427{"query": "Problem: a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 100 kilometers per hour. at what speed, in kilometers per hour, is the car traveling ?\nOptions: a. 71.5, b. 72, c. 72.5, d. 73, e. 94.7", "pos": "Problem: express a speed of 90 kmph in meters per second ?\nOptions: a. 10 mps, b. 76 mps, c. 26 mps, d. 97 mps, e. 25 mps", "neg": "Problem: a car traveling at a certain constant speed takes 4 seconds longer to travel 1 km than it would take to travel 1 km at 80 km / hour. at what speed, in km / hr, is the car traveling ?\nOptions: a. 70, b. 72, c. 74, d. 75, e. 78", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}428{"query": "Problem: how many multiples of 4 are there between 4 and 64 ?\nOptions: a. 12, b. 64, c. 14, d. 16, e. 60", "pos": "Problem: how many multiples of 4 are there between 32 and 252 ?\nOptions: a. 67, b. 64, c. 54, d. 56, e. 60", "neg": "Problem: how many multiples of 4 are there between 12 and 104, inclusive ?\nOptions: a. 21, b. 22, c. 23, d. 24, e. 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}429{"query": "Problem: points a, b, c, and d, in that order, lie on a line. if ab = 3 cm, ac = 4 cm, and bd = 8 cm, what is cd, in centimeters ?\nOptions: a. 7, b. 2, c. 3, d. 4, e. 5", "pos": "Problem: the center of a circle lies on the origin of the coordinate plane. if a point ( x, y ) is randomly selected inside of the circle, what is the probability that y > x or x > 0 ?\nOptions: a. 7 / 8, b. 5 / 6, c. 3 / 8, d. 1 / 2, e. 3 / 4", "neg": "Problem: in triangle pqr, the angle q = 90 degree, pq = 4 cm, qr = 8 cm. x is a variable point on pq. the line through x parallel to qr, intersects pr at y and the line through y, parallel to pq, intersects qr at z. find the least possible length of xz\nOptions: a. 1.2 cm, b. 2.4 cm, c. 4.8 cm, d. 2.16 cm, e. 3.2 cm", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}430{"query": "Problem: a can do a piece of work in 5 hours; b and c together can do it in 3 hours, while a and c together can do it in 2 hours. how long will b alone take to do it ?\nOptions: a. 30, b. 20, c. 10, d. 6, e. 5", "pos": "Problem: john and david can finish a job together in 4 hours. if john can do the job by himself in 5 hours, what percent of the job does david do ?\nOptions: a. 20 %, b. 25 %, c. 24 %, d. 23 %, e. 22 %", "neg": "Problem: a can do a piece of work in 4 hours; b and c together can do it in 3 hours, while a and c together can do it 2 hours. how long will b alone take to do it ?\nOptions: a. 8 hours, b. 10 hours, c. 12 hours, d. 24 hours, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}431{"query": "Problem: there is a 10 % chance that tigers will not win at all during the whole season. there is a 20 % chance that federer will not play at all in the whole season. what is the greatest possible probability that the tigers will win and federer will play during the season ?\nOptions: a. 55 %, b. 60 %, c. 70 %, d. 72 %, e. 80 %", "pos": "Problem: m = { - 6, - 5, - 4, - 3, - 2 } t = { - 2, - 1, 1, 2, 3 } if an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above, what is the probability that the product of the two integers will be negative ?\nOptions: a. 0, b. 1 / 3, c. 2 / 5, d. 1 / 2, e. 3 / 5", "neg": "Problem: there is a 30 % chance that tigers will not win at all during the whole season. there is a 30 % chance that portugeese will not play at all in the whole season. what is the greatest possible probability that the tigers will win and portugeese will play during the season ?\nOptions: a. 55 %, b. 60 %, c. 70 %, d. 72 %, e. 80 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}432{"query": "Problem: lally ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a. m. the service is discontinued when client ' s debt exceeds $ 5. if today in the morning lally makes a payment of $ 7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $ 0 ?\nOptions: a. 15, b. 24, c. 25, d. 26, e. 13", "pos": "Problem: allay ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a. m. the service is discontinued when client ' s debt exceeds $ 5. if today in the morning allay makes a payment of $ 7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $ 0 ?\nOptions: a. 15, b. 24, c. 25, d. 26, e. 13", "neg": "Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service. elvin ' s total telephone bill for january was $ 46 and elvin ' s total telephone bill for february was 76 $. if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january, what is elvin ' s fixed monthly charge for internet service ?\nOptions: a. $ 5, b. $ 10, c. $ 14, d. $ 16, e. $ 28", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}433{"query": "Problem: a retailer bought a machine at a wholesale price of $ 108 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price of the machine ?\nOptions: a. 81, b. 100, c. 120, d. 135, e. 144", "pos": "Problem: ramesh purchased a refrigerator for rs. 12500 after getting a discount of 20 % on the labelled price. he spent rs. 125 on transport and rs. 250 on installation. at what price should it be sold so that the profit earned would be 18 % if no discount was offered ?\nOptions: a. 17608, b. 17606, c. 17604, d. 17600, e. 18880", "neg": "Problem: a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price r of the machine ?\nOptions: a. 81, b. 100, c. 120, d. 135, e. 160", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}434{"query": "Problem: if n is the smallest integer such that 72 times n is the square of an integer, what is the value of n ?\nOptions: a. 2, b. 3, c. 6, d. 12, e. 24", "pos": "Problem: the area of a parallelogram is 72 sq m and its base is 12 m. then the length of the height is ?\nOptions: a. 6 m, b. 7 m, c. 60 m, d. 13 m, e. none", "neg": "Problem: if n is a positive integer and n ^ 2 is divisible by 72, then the largest positive integer v that must divide n is ?\nOptions: a. 6, b. 12, c. 24, d. 36, e. 48", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}435{"query": "Problem: in one day, juan sends keith 8 times as many messages as he sends laurence, and laurence sends missy 4.5 times as many messages as he receives from juan. if missy received 18 messages from laurence, how many messages does keith receive from juan ?\nOptions: a. 13, b. 26, c. 32, d. 48, e. 56", "pos": "Problem: a work crew of 6 men takes 8 days to complete one - half of a job. if 9 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job ?\nOptions: a. 2, b. 3, c. 3 1 / 5, d. 4, e. 4 4 / 5", "neg": "Problem: a, b, c can complete a piece of work in 24, 8,12 days. working together, they complete the same work in how many days ?\nOptions: a. 4, b. 4 / 5, c. 7 / 9, d. 10, e. 24 / 7", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}436{"query": "Problem: the area of a triangle will be when a = 1 m, b = 2 m, c = 3 m, a, b, c being lengths of respective sides.\nOptions: ['a. 0 sq m', 'b. 7 sq m', 'c. 2 sq m', 'd. 3 sq m', 'e. 6 sq m']", "pos": "Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction c of the area of triangle abc is the area of triangle xyz ?\nOptions: ['a. 1 / 9', 'b. 1 / 8', 'c. 1 / 6', 'd. 1 / 5', 'e. 1 / 3']", "neg": "Problem: calculate the area of a triangle, if the sides of are 65 cm, 60 cm and 25 cm, what is its area ?\nOptions: a. 850 cm 2, b. 750 cm 2, c. 450 cm 2, d. 550 cm 2, e. 650 cm 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}437{"query": "Problem: edward earns $ 7.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. if michael earned $ 210 last week, how many hours did he work ?\nOptions: a. 43, b. 44, c. 45, d. 46, e. 47", "pos": "Problem: mary works in a restaurant a maximum of 70 hours. for the first 20 hours, she is paid $ 8 per hour. for each overtime hour, she is paid at a rate which is 25 % higher than her regular rate. how much mary can earn in a week ?\nOptions: a. 600, b. 620, c. 660, d. 320, e. 400", "neg": "Problem: each week, harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week. each week, james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 50 hours. if harry and james were paid the same amount last week, how many hours did harry work last week ?\nOptions: a. 35, b. 36, c. 37, d. 38, e. 50", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}438{"query": "Problem: i bought two books; for rs. 470. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss ?\nOptions: a. 274.17, b. 280.17, c. 299.17, d. 266.17, e. 279.17", "pos": "Problem: the cash difference between the selling prices of an article at a profit of 4 % and 2 % is rs. 3. the ratio of the two selling prices is ?\nOptions: a. 52: 51, b. 52: 53, c. 52: 50, d. 22: 56, e. 52: 51", "neg": "Problem: i bought two books; for rs. 500. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss ?\nOptions: a. 337, b. 280, c. 299.67, d. 266.67, e. 291.67", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}439{"query": "Problem: 18 women can complete a work in 7 days and 10 children take 14 days to complete the work. how many days will 5 women and 10 children take to complete the work ?\nOptions: a. 8 days, b. 6 days, c. 7 days, d. 9 days, e. 1 days", "pos": "Problem: 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. in how many days can 10 men, 4 women and 30 children together complete the piece of work ?\nOptions: a. 5 days, b. 15 days, c. 28 days, d. 4 days, e. 7 days", "neg": "Problem: 130 women can complete a work in 7 days and 10 children take 14 days to complete the work. how many days will 5 women and 10 children take to complete the work ?\nOptions: a. 8 days, b. 6 days, c. 7 days, d. 9 days, e. 13 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}440{"query": "Problem: when positive integer x is divided by positive integer y, the remainder is 9. if x / y = 96.45, what is the value of y ?\nOptions: a. 96, b. 75, c. 48, d. 20, e. 12", "pos": "Problem: when positive integer x is divided by positive integer y, the remainder is 3. if x / y = 96.12, what is the value of y ?\nOptions: a. 96, b. 75, c. 48, d. 25, e. 12", "neg": "Problem: when positive integer x is divided by positive integer y, the remainder is 9. if x / y = 96.15, what is the value of y ?\nOptions: a. 96, b. 60, c. 48, d. 25, e. 12", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}441{"query": "Problem: an employee ’ s annual salary was increased $ 5000. if her new annual salary now equals $ 25000 what was the percent increase ?\nOptions: a. 15 %, b. 80 %, c. 20 %, d. 22 %, e. 24 %", "pos": "Problem: an employee ’ s annual salary was increased $ 5,000. if her new annual salary now equals $ 70,000, what was the percent increase ?\nOptions: a. 15 %, b. 0.77 %, c. 20 %, d. 22 %, e. 24 %", "neg": "Problem: an employee ’ s annual salary was increased $ 25000. if her new annual salary now equals $ 90000, what was the percent increase ?\nOptions: a. 15 %, b. 162 ⁄ 3 %, c. 20 %, d. 38.46 %, e. 24 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}442{"query": "Problem: it takes avery 3 hours to build a brick wall while tom can do it in 4 hours. if the two start working together and after an hour avery leaves, how much time will it take tom to complete the wall on his own ?\nOptions: a. 25 minutes., b. 55 minutes., c. 1 hour and 41 minutes, d. 1 hour and 35 minutes, e. 1 hour and 20 minutes", "pos": "Problem: a can do a piece of work in 4 hours; b and c together can do it in 3 hours, while a and c together can do it 2 hours. how long will b alone take to do it ?\nOptions: a. 8 hours, b. 10 hours, c. 12 hours, d. 24 hours, e. none of these", "neg": "Problem: it takes avery 3 hours to build a brick wall while tom can do it in 3 hours. if the two start working together and after an hour avery leaves, how much time will it take tom to complete the wall on his own ?\nOptions: a. 20, b. 60, c. 30, d. 40, e. 50", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}443{"query": "Problem: of the 200 employees in a certain company, 30 percent will be relocated to city x and the remaining 70 percent will be relocated to city y. however, 40 percent of the employees prefer city y and 60 percent prefer city x. what is the highest possible number of employees who will be relocated to the city they prefer ?\nOptions: a. 115, b. 120, c. 140, d. 152, e. 165", "pos": "Problem: 100 people are attending a newspaper conference. 45 of them are writers and more than 36 are editors. of the people at the conference, x are both writers and editors and 2 x are neither. what is the largest possible number of people who are both writers and editors ?\nOptions: a. 26, b. 24, c. 18, d. 20, e. 22", "neg": "Problem: of the 130 employees at company x, 80 are full - time, and 100 have worked at company x for at least a year. there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year. how many full - time employees of company x have worked at the company for at least a year ?\nOptions: a. 20, b. 30, c. 50, d. 80, e. 100", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}444{"query": "Problem: the arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.7, respectively. what value is exactly 2 standard deviations less than the mean ?\nOptions: a. 10.5, b. 11, c. 11.1, d. 12, e. 12.5", "pos": "Problem: for a certain exam, a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean. what was the standard deviation for the exam ?\nOptions: a. 7, b. 6, c. 8, d. 0, e. 2", "neg": "Problem: the standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 48. what is a possible value for the mean of the distribution ?\nOptions: a. 46, b. 47, c. 48, d. 55, e. 50", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}445{"query": "Problem: divide rs. 1700 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together. a ' s share is ?\nOptions: a. 346, b. 425, c. 375, d. 337, e. 639", "pos": "Problem: rs. 1010 / - distributed among a, b and c such that on decreasing their shares by rs. 25, rs. 10 and rs. 15 respectively, the balance money would be divided among them in the ratio 3: 2: 5. then, c ’ s share is: ?\nOptions: a. rs. 485, b. rs. 495 / -, c. rs. 575, d. rs. 685, e. rs. 592", "neg": "Problem: divide rs. 5500 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 1 / 5 as a and c together. a ' s share is ?\nOptions: a. 1227, b. 1268, c. 1375, d. 1200, e. 1210", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}446{"query": "Problem: the sector of a circle has radius of 24 cm and central angle 135 o. find its perimeter ?\nOptions: a. 91.5 cm, b. 11.5 cm, c. 104.6 cm, d. 92.5 cm, e. 99.5 cm", "pos": "Problem: the perimeter of a semi circle is 180 cm then the radius is ?\nOptions: a. 22, b. 28, c. 35, d. 37, e. 13", "neg": "Problem: the sector of a circle has radius of 28 cm and central angle 135 o. find its perimeter ?\nOptions: a. 122 cm, b. 92.2 cm, c. 28.9 cm, d. 29.2 cm, e. 98.2 cm", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}447{"query": "Problem: what is the x - intercept of a line that passes through the point ( 3, 4 ) and has a slope of 2 ?\nOptions: a. - 2, b. - 1, c. 0, d. 1, e. 2", "pos": "Problem: line m lies in the xy - plane. the y - intercept of line m is - 2, and line m passes through the midpoint of the line segment whose endpoints are ( 2, 8 ) and ( 144 ). what is the slope of line m ?\nOptions: a. - 2, b. - 1, c. 0, d. 1, e. 2", "neg": "Problem: on a two - dimensional coordinate plane, the line a = x ^ 2 - x ^ 3 touches the x - axis in how many places ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}448{"query": "Problem: raja spends 35 % of his monthly income on household items, 20 % of his monthly income on buying cloths, 5 % of his monthly income on medicines and saves the remaining amount which is rs. 15000. find his monthly income.\nOptions: a. rs. 40000, b. rs. 36000, c. rs. 37500, d. rs. 45000, e. none of these", "pos": "Problem: after spending rs. 5000 on rent, rs. 1500 on milk, rs. 4500 on groceries, rs. 2500 on childrens education rs. 2000 on petrol and rs. 2500 on miscellaneous expenses, mr. kishore saved 10 % of his monthly salary. how much did he save in rs. ?\nOptions: a. 2160, b. 2350, c. 2000, d. 2300, e. none of these", "neg": "Problem: a man spend 1 / 5 of his salary on food, 1 / 10 of his salary on house rent and 3 / 5 salary on clothes. he still has $ 15000 left with him. find salary..\nOptions: a. $ 150000, b. $ 18000, c. $ 180000, d. $ 1800, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}449{"query": "Problem: what least number should be subtracted from 13600 such that the remainder is divisible by 87 ?\nOptions: a. 27, b. 29, c. 28, d. 30, e. 31", "pos": "Problem: the product of two successive numbers is 7832. which is the smaller of the two numbers ?\nOptions: a. 78, b. 68, c. 88, d. 97, e. 37", "neg": "Problem: what least number should be subtracted from 1398 so that the remainder when divided by 7, 9, and 11 will leave in each case the same remainder 5 ?\nOptions: a. 6, b. 7, c. 8, d. 10, e. 11", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}450{"query": "Problem: four bells commence tolling together and toll at intervals of 2, 4, 6, 8 seconds respectively. in 18 minutes, how many times do they toll together ?\nOptions: a. 43, b. 44, c. 45, d. 46, e. 47", "pos": "Problem: calculate how many seconds it will take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 9, 12, 15 and 18 seconds ?\nOptions: a. 186, b. 130, c. 180, d. 181, e. 120", "neg": "Problem: two pipes a and b can fill a tank in 24 minutes and 32 minutes respectively. if both the pipes are opened simultaneously, after how much time should b be closed so that the tank is full in 18 minutes ?\nOptions: a. 7 minute, b. 9 minute, c. 10 minute, d. 8 minute, e. 11 minute", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}451{"query": "Problem: what percent of 150 is 40 ?\nOptions: a. 0.25 %, b. 26.67 %, c. 25 %, d. 40 %, e. 250 %", "pos": "Problem: what percent of 250 is 45 ?\nOptions: a. 0.25 %, b. 18 %, c. 25 %, d. 40 %, e. 250 %", "neg": "Problem: if 40 % of ( x - y ) = 30 % of ( x + y ) then what percent of x is y ?\nOptions: a. 2.5 %, b. 10 %, c. 5 %, d. 14 %, e. 25 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}452{"query": "Problem: list k consists of 12 consecutive integers. if - 5 is the least integer in list k, what is the range of the positive integers in list k ?\nOptions: a. 5, b. 6, c. 7, d. 11, e. 12", "pos": "Problem: the average of 5 quantities is 12. the average of 3 of them is 4. what is the average of remaining 2 numbers ?\nOptions: a. 24, b. 10, c. 8, d. 9.5, e. none of these", "neg": "Problem: if the range q of the 6 numbers 4, 314, 710 and x is 12, what is the difference between the greatest possible value of x and least possible value of x ?\nOptions: a. 0, b. 2, c. 12, d. 13, e. 15", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}453{"query": "Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 920 grams per kg, what is his percent ?\nOptions: a. 22 %, b. 25 %, c. 77 %, d. 99 %, e. 8.7 %", "pos": "Problem: a dealer purchases 15 articles for rs. 25 and sells 12 articles for rs. 32. find the profit percentage ?\nOptions: a. 80 %, b. 50 %, c. 59 %, d. 40 %, e. 60 %", "neg": "Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 990 grams per kg, what is his percent ?\nOptions: a. 1.01 %, b. 25 %, c. 22 %, d. 29 %, e. 45 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}454{"query": "Problem: a man cheats while buying as well as while selling. while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to. find the profit percent, if he sells at 10 % below the cost price of the claimed weight.\nOptions: a. 19.81 %, b. 20 %, c. 37.5 %, d. 23.75 %, e. 37.5 %", "pos": "Problem: a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by 20 % while selling. what is his percentage profit ?\nOptions: a. 10.22 %, b. 20.22 %, c. 21.22 %, d. 10 %, e. ca n ' t be calculated", "neg": "Problem: a dishonest dealer claims to sell a product at its cost price. he uses a counterfeit weight which is 20 % less than the real weight. further greed overtook him and he added 40 % impurities to the product. find the net profit percentage of the dealer ?\nOptions: a. 94 %, b. 87.5 %, c. 55 %, d. 56.25 %, e. 36 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}455{"query": "Problem: a case contains c cartons. each carton contains b boxes, and each box contains 600 paper clips. how many paper clips are contained in 2 cases ?\nOptions: a. 600 bc, b. 600 b / c, c. 1200 bc, d. 1200 b / c, e. 1200 / bc", "pos": "Problem: a case contains c cartons. each carton contains b boxes, and each box contains 200 paper clips. how many paper clips are contained in 2 cases ?\nOptions: a. 200 bc, b. 200 b / c, c. 400 bc, d. 400 b / c, e. 400 / bc", "neg": "Problem: working together, printer a and printer b would finish the task in 24 minutes. printer a alone would finish the task in 60 minutes. how many pages does the task contain if printer b prints 6 pages a minute more than printer a ?\nOptions: a. 600, b. 800, c. 1000, d. 720, e. 1500", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}456{"query": "Problem: an army ’ s recruitment process included n rounds of selection tasks. for the first a rounds, the rejection percentage was 60 percent per round. for the next b rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. if there were 10000 people who applied for the army and 350 were finally selected, what was the value of n ?\nOptions: a. 4, b. 5, c. 6, d. 9, e. 8", "pos": "Problem: employees of a certain company are each to receive a unique 10 - digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 such that no digit is used more than once in any given code. in valid codes, the second digit in the code is exactly twice the first digit. how many valid codes are there ?\nOptions: a. 145,660, b. 149,720, c. 155,420, d. 161,280, e. 167,480", "neg": "Problem: in a competitive examination in state a, 6 % candidates got selected from the total appeared candidates. state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a. what was the number of candidates appeared from each state ?\nOptions: a. 7000, b. 8000, c. 8800, d. 8900, e. 9000", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}457{"query": "Problem: the number 133 is equal to the sum of the cubes of two integers. what is the product of those integers ?\nOptions: a. 8, b. 15, c. 21, d. 27, e. 10", "pos": "Problem: the h. c. f of two numbers is 23 and the other two factors of their l. c. m are 16 and 17. the larger of the two numbers is :\nOptions: a. 338, b. 278, c. 322, d. 231, e. 391", "neg": "Problem: the number 35 is equal to the sum of the cubes of two integers. what is the product of those integers ?\nOptions: a. 6, b. 15, c. 21, d. 27, e. 39", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}458{"query": "Problem: a ladder 30 feet long is leaning against a wall that is perpendicular to level ground. the bottom of the ladder is 10 feet from the base of the wall. if the top of the ladder slips down 5 feet, how many feet will the bottom of the ladder slip ?\nOptions: a. 14, b. 15, c. 18.92, d. 19, e. 25", "pos": "Problem: a certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday ( inc. the first day it was planted.. if this plant grew by 30 % b / w the 4 th day and 10 th day after it was planted, how many feet per day does the plant grow\nOptions: a. a. 2, b. b. 4.5, c. c. 0.69, d. d. 5.5, e. e. 3", "neg": "Problem: a ladder 22 feet long is leaning against a wall that is perpendicular to level ground. the bottom of the ladder is 7 feet from the base of the wall. if the top of the ladder slips down 3 feet, how many feet will the bottom of the ladder slip ?\nOptions: a. 12.86, b. 15, c. 18, d. 19, e. 25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}459{"query": "Problem: if 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days ?\nOptions: a. 88 kg, b. 65 kg, c. 72 kg, d. 44 kg, e. 55 kg", "pos": "Problem: a work crew of 6 men takes 8 days to complete one - half of a job. if 9 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job ?\nOptions: a. 2, b. 3, c. 3 1 / 5, d. 4, e. 4 4 / 5", "neg": "Problem: if 4 men can colour 48 m long cloth in 2 days, then 6 women can colour 36 m long cloth in ?\nOptions: a. day, b. day, c. days, d. days, e. days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}460{"query": "Problem: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9\nOptions: a. 7, b. 8, c. 9, d. 0, e. 1", "pos": "Problem: on dividing a number by 48, we get 29 as remainder. on dividing the same number by 8, what will be the remainder ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "neg": "Problem: a certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13 ?\nOptions: a. 7, b. 8, c. 9, d. 0, e. 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}461{"query": "Problem: a certain article of clothing was discounted during a special sale to 3 / 4 of its original retail price. when the clothing did n ' t sell, it was discounted even further to 1 / 3 of its original retail price during a second sale. by what percent did the price of this article of clothing decrease from the first sale to the second sale ?\nOptions: a. 50 %, b. 33.33 %, c. 25 %, d. 55.55 %, e. 12.5 %", "pos": "Problem: the price of an item is discounted 5 percent on day 1 of a sale. on day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 15 percent. the price of the item on day 3 is what percentage of the sale price on day 1 ?\nOptions: a. 28 %, b. 40 %, c. 64.8 %, d. 76.5 %, e. 78 %", "neg": "Problem: the price of a jacket is reduced by 25 %. during a special sale the price of the jacket is reduced another 25 %. by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?\nOptions: a. 32.5, b. 77.78, c. 48, d. 65, e. 67.5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}462{"query": "Problem: what is the least number which should be added to 2597 so that the sum is exactly divisible by 5, 6, 4, and 3 ?\nOptions: a. 17, b. 23, c. 26, d. 35, e. 43", "pos": "Problem: what least no. must be subtracted from 5026 so that remaining no. is divisible by 5 ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 1", "neg": "Problem: the least number which should be added to 1789 so that the sum is exactly divisible by 5, 6, 4 and 3 is ?\nOptions: a. 1, b. 11, c. 21, d. 31, e. 41", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}463{"query": "Problem: find the greatest number which leaves the same remainder when it divides 16, 46 and 82.\nOptions: a. 18, b. 8, c. 12, d. 16, e. none of these", "pos": "Problem: what is the remainder when ( 63 ) ( 65 ) is divided by 8 ?\nOptions: a. 1, b. 2, c. 4, d. 5, e. 7", "neg": "Problem: find the greatest number which leaves the same remainder when it divides 25, 57 and 105.\nOptions: a. 18, b. 8, c. 12, d. 16, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}464{"query": "Problem: evaluate: | 8 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?\nOptions: a. 40, b. 74, c. 60, d. 70, e. 80", "pos": "Problem: how many digits are in ( 8 × 10 ^ 12 ) ( 10 × 10 ^ 9 ) ?\nOptions: a. 20, b. 23, c. 26, d. 27, e. 28", "neg": "Problem: evaluate: | 5 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?\nOptions: a. 40, b. 50, c. 60, d. 71, e. 80", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}465{"query": "Problem: heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many liters of tomato puree will be obtained from 25 litres of tomato juice ?\nOptions: a. 2.8 liters., b. 3.125 liters., c. 8.5 liters., d. 2.6 liters., e. 2.1 liters.", "pos": "Problem: heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many liters of tomato puree will be obtained from 20 litres of tomato juice ?\nOptions: a. 2.8 liters., b. 2.5 liters., c. 8.5 liters., d. 2.6 liters., e. 2.1 liters.", "neg": "Problem: heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many litres of tomato puree will be obtained from 20 litres of tomato juice ?\nOptions: a. 2 litres, b. 2.4 litres, c. 2.5 litres, d. 6 litres, e. 4 litres", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}466{"query": "Problem: triathlete dan runs along a 4 - mile stretch of river and then swims back along the same route. if dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute ?\nOptions: a. 1 / 8, b. 2 / 15, c. 3 / 15, d. 1 / 4, e. 3 / 8", "pos": "Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?\nOptions: a. 4, b. 5, c. 6, d. 7, e. 8", "neg": "Problem: tabby is training for a triathlon. she swims at a speed of 1 mile per hour. she runs at a speed of 7 miles per hour. she wants to figure out her average speed for these two events. what is the correct answer for her ?\nOptions: a. 8 mph, b. 5.25 mph, c. 3.5 mph, d. 4 mph, e. 0.5 mph", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}467{"query": "Problem: at a small company, 58 percent of the employees are women, and 60 percent of the employees are married. if 2 / 3 of the men are single, what fraction of the women are married ?\nOptions: a. 5 / 16, b. 1 / 3, c. 23 / 29, d. 7 / 10, e. 5 / 7", "pos": "Problem: in town x, 64 percent of the population are employed, and 46 percent of the population are employed males. what percent of the employed people in town x are females ?\nOptions: a. 16 %, b. 25 %, c. 28 %, d. 40 %, e. 52 %", "neg": "Problem: at an elementary school, 70 % of the faculty members are women and 60 % of the faculty members are married. if 2 ⁄ 3 of the men are single, what fraction of the women are married ?\nOptions: a. 5 ⁄ 7, b. 7 ⁄ 10, c. 1 ⁄ 3, d. 7 ⁄ 30, e. 5 ⁄ 70", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}468{"query": "Problem: if a function f is defined by f ( x ) = - 1 / x for all non zero numbers x. if f ( a. = - 1 / 3 and f ( ab. = 1 / 6 then b = ?\nOptions: a. 2, b. 1 / 2, c. - 1 / 2, d. - 2, e. - 12", "pos": "Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 6, x ^ 4 + ( 1 / x ^ 4 ) = ?\nOptions: a. 10, b. 11, c. 12, d. 34, e. 15", "neg": "Problem: f ( x ) is a function such that f ( 2 x + 1 ) = 2 f ( x ) + 1 for all real numbers x and f ( 0 ) = 2. find the value of f ( 3 ).\nOptions: a. 10, b. 11, c. 12, d. 13, e. 14", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}469{"query": "Problem: if 10 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days ?\nOptions: a. 127, b. 237, c. 360, d. 450, e. 281", "pos": "Problem: 8 men, working 8 hours a day can complete a work in 18 days. how many hours a day must 12 men work to complete the same work in 12 days ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 10", "neg": "Problem: to asphalt 1 km road, 30 men spent 12 days working 8 hours per day. how many days, 20 men will spend to asphalt a road of 2 km working 8 hours a day ?\nOptions: a. 40, b. 36, c. 42, d. 44, e. 46", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}470{"query": "Problem: a man can row a distance of 5 km in 60 min with the help of the tide. the direction of the tide reverses with the same speed. now he travels a further 20 km in 10 hours. how much time he would have saved if the direction of tide has not changed ?\nOptions: a. 2, b. 8, c. 1, d. 6, e. 5", "pos": "Problem: a man can row a distance of 6 km in 60 min with the help of the tide. the direction of the tide reverses with the same speed. now he travels a further 20 km in 10 hours. how much time he would have saved if the direction of tide has not changed ?\nOptions: a. 2, b. 8, c. 1, d. 6: 41, e. 5", "neg": "Problem: a man can row at 5 kmph in still water. if the velocity of current is 1 kmph and it takes him 2 hour to row to a place and come back, how far is the place ?\nOptions: a. 2.4 km, b. 4.8 km, c. 3.4 km, d. 4.4 km, e. 5.6 km", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}471{"query": "Problem: a certain fraction is equivalent to 2 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 4. what is the difference of the numerator and denominator of the original fraction ?\nOptions: a. 49, b. 35, c. 28, d. 24, e. 21", "pos": "Problem: a certain fraction is equivalent to 3 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 3. what is the sum of the numerator and denominator of the original fraction ?\nOptions: a. 49, b. 35, c. 28, d. 56, e. 21", "neg": "Problem: a certain fraction is equivalent to 2 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 3. what is the difference of the numerator and denominator of the original fraction ?\nOptions: a. 49, b. 9, c. 28, d. 26, e. 21", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}472{"query": "Problem: a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store, at the end of one month the number of total items sold increases 15 %. their gross income from sales for one month increases by what percent ?\nOptions: a. 1.5 %, b. 2.5 %, c. 3.5 %, d. 4.5 %, e. 5.5 %", "pos": "Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business. by the end of the week she had sold 50 % more recliners. what is the percentage increase of the gross ?\nOptions: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 50 %", "neg": "Problem: a and b start a business, with a investing the total capital of rs. 10000, on the condition that b pays a interest @ 10 % per annum on his half of the capital. a is a working partner and receives rs. 1000 per month from the total profit and any profit remaining is equally shared by both of them. at the end of the year, it was found that the income of a is twice that of b. find the total profit for the year ?\nOptions: a. a. 59000, b. b. 37000, c. c. 48000, d. d. 59000, e. e. 67000", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}473{"query": "Problem: if a man lost 8 % by selling oranges at the rate of 25 a rupee at how many a rupee must he sell them to gain 25 % ?\nOptions: a. 20, b. 15, c. 18.4, d. 20, e. 12.8", "pos": "Problem: a man buys a cycle for rs. 2800 and sells it at a loss of 25 %. what is the selling price of the cycle ?\nOptions: a. s. 2090, b. s. 2160, c. s. 2100, d. s. 2202, e. s. 2092", "neg": "Problem: if a man lost 4 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?\nOptions: a. 8, b. 7, c. 5, d. 2, e. 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}474{"query": "Problem: how many positive integers less than 100 are there such that they are multiples of 13 or multiples of 12 but not both ?\nOptions: a. 15, b. 16, c. 17, d. 18, e. 19", "pos": "Problem: how many positive even integers less than 100 contain digits 5 or 7 ?\nOptions: a. 10, b. 17, c. 18, d. 19, e. 20", "neg": "Problem: how many positive integers less than 100 have a remainder of 3 when divided by 13 ?\nOptions: a. 6, b. 7, c. 8, d. 9, e. 3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}475{"query": "Problem: a certain experimental mathematics program was tried out in 2 classes in each of 38 elementary schools and involved 44 teachers. each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. if the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are\nOptions: a. 0 and 13, b. 0 and 14, c. 0 and 16, d. 1 and 9, e. 2 and 8", "pos": "Problem: there are 38 students in a certain geometry class. if two thirds of the students are boys and 3 fourths of the boys are under 6 feet tall, how many boys in the class are under 6 feet tall ?\nOptions: a. 6, b. 12, c. 19, d. 24, e. 27", "neg": "Problem: a local elementary school has 1049 students and 9 teachers, how many students would have to be added to the school to make sure each teacher has the same amount of students in their classroom ?\nOptions: a. 4, b. 6, c. 5, d. 1, e. 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}476{"query": "Problem: if y exceeds x by 20 %, then x is less than y by ?\nOptions: a. 16 2 / 8 %, b. 16 8 / 3 %, c. 16 2 / 3 %, d. 76 2 / 3 %, e. 17 2 / 3 %", "pos": "Problem: if y exceeds x by 25 %, then x is less than y by ?\nOptions: a. 28 %, b. 21 %, c. 20 %, d. 30 %, e. 29 %", "neg": "Problem: if x is 20 percent more than y and y is 60 percent less than z, then x is what percent of z ?\nOptions: a. 500 %, b. 48 %, c. 500 / 3 %, d. 125 %, e. 60 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}477{"query": "Problem: express a speed of 90 kmph in meters per second ?\nOptions: a. 10 mps, b. 76 mps, c. 26 mps, d. 97 mps, e. 25 mps", "pos": "Problem: how many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph ?\nOptions: a. 54 sec, b. 65 sec, c. 25 sec, d. 45 sec, e. 27 sec", "neg": "Problem: express a speed of 63 kmph in meters per second ?\nOptions: a. 10 mps, b. 14 mps, c. 17.5 mps, d. 19.4 mps, e. 10.8 mps", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}478{"query": "Problem: together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many w hours would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine. ?\nOptions: a. 22 hours, b. 30 hours, c. 44 hours, d. 60 hours, e. it can not be determined from the information above.", "pos": "Problem: together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many q hours would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine. ?\nOptions: a. 22 hours, b. 30 hours, c. 44 hours, d. 60 hours, e. it can not be determined from the information above.", "neg": "Problem: working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates ?\nOptions: a. 4 / 11, b. 1 / 2, c. 15 / 22, d. 150 / 11, e. 11 / 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}479{"query": "Problem: the smallest value of n, for which n + 2 is not a prime number, is\nOptions: a. 1,2, b. 4,6, c. 2,4, d. 8,12, e. 9,6", "pos": "Problem: ( 4 ! ) ^ n is a factor of 12 !, but ( 4 ! ) ^ ( n + 1 ) is not factor of 12 !. what is the value of n ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "neg": "Problem: the smallest value of n, for which n + 3 is not a prime number, is\nOptions: a. 1, b. 2, c. 6, d. 8, e. 3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}480{"query": "Problem: a man traveled from the village to the post - office at the rate of 25 kmph and walked back at the rate of 4 kmph. if the whole journey took 5 hours 48 minutes, find the distance of the post - office from the village ?\nOptions: a. 70 m, b. 80 km, c. 20 km, d. 10 km, e. 73 km", "pos": "Problem: if a person walks at 25 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance traveled by him is :\nOptions: a. 50 km, b. 56 km, c. 13.3 km, d. 70 km, e. 80 km", "neg": "Problem: a person is traveling at 75 km / hr and reached his destiny in 4 hr then find the distance ?\nOptions: a. 300 km, b. 200 km, c. 250 km, d. 400 km, e. 220 km", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}481{"query": "Problem: a bag contains 21 toys numbered 1 to 21. a toy is drawn and then another toy is drawn without replacement. find the probability that both toys will show even numbers.\nOptions: a. 5 / 21, b. 9 / 42, c. 6 / 22, d. 4 / 21, e. 3 / 21", "pos": "Problem: a bag contains 6 black and 4 white balls. one ball is drawn at random. what is the probability that the ball drawn is white ?\nOptions: a. 3 / 4, b. 2 / 5, c. 1 / 7, d. 1 / 8, e. 4 / 3", "neg": "Problem: a bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. what is the probability that the balls drawn contain balls of different colours ?\nOptions: a. 2 / 7, b. 3 / 5, c. 3 / 11, d. 1 / 4, e. 7 / 16", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}482{"query": "Problem: trapezoid jklm in the x - y plane has coordinates j = ( – 2, – 4 ), k = ( – 2, 1 ), l = ( 6, 7 ), and m = ( 6, – 4 ). what is its perimeter ?\nOptions: a. 34, b. 36, c. 38, d. 40, e. 42", "pos": "Problem: trapezoid jklm in the x - y plane has coordinates j = ( – 3, – 4 ), k = ( – 3, 1 ), l = ( 5, 7 ), and m = ( 5, – 4 ). what is its perimeter ?\nOptions: a. 34, b. 36, c. 38, d. 40, e. ( f ) 42", "neg": "Problem: what is the area inscribed by the lines y = 6, x = 3, y = 2 x - 4 on an xy - coordinate plane ?\nOptions: a. a. 1, b. b. 2, c. c. 4, d. d. 8, e. e. 16", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}483{"query": "Problem: a tradesman by means of his false balance defrauds to the extent of 20 % ? in buying goods as well as by selling the goods. what percent does he gain on his outlay ? a. 20 % b. 45 %\nOptions: a. 77, b. 66, c. 44, d. 99, e. 11", "pos": "Problem: a trader bought a car at 20 % discount on its original price. he sold it at a 50 % increase on the price he bought it. what percent of profit did he make on the original price ?\nOptions: a. 17 %, b. 72 %, c. 20 %, d. 82 %, e. 16 %", "neg": "Problem: a man cheats while buying as well as while selling. while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to. find the profit percent, if he sells at 10 % below the cost price of the claimed weight.\nOptions: a. 19.81 %, b. 20 %, c. 37.5 %, d. 23.75 %, e. 37.5 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}484{"query": "Problem: a numberais squared and then multiplied by negative 3. the result of this operation r is equal to 3 times the sum of 3 timesaand two. what is one possible value ofa ?\nOptions: a. - 3, b. - 2, c. 1, d. 2, e. 3", "pos": "Problem: what is the value of ( 3 ) ^ - 4 ?\nOptions: a. 1 / 4, b. 1 / 81, c. 1 / 65, d. 1 / 9, e. 1 / 3", "neg": "Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 33, find the value of ab.\nOptions: a. 12, b. 15, c. 10, d. 18, e. 13", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}485{"query": "Problem: a bag contains 10 red jellybeans and 10 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability e that all 3 jellybeans removed from the bag are blue ?\nOptions: a. 9 / 100, b. 2 / 19, c. 1 / 8, d. 3 / 20, e. 3 / 10", "pos": "Problem: a bag contains 6 black and 4 white balls. one ball is drawn at random. what is the probability that the ball drawn is white ?\nOptions: a. 3 / 4, b. 2 / 5, c. 1 / 7, d. 1 / 8, e. 4 / 3", "neg": "Problem: a bag contains 30 red jellybeans and 30 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue ?\nOptions: a. 9 / 100, b. 2 / 19, c. 1 / 8, d. 1 / 20, e. 3 / 10", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}486{"query": "Problem: a train 50 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train ?\nOptions: a. 15 kmph, b. 25 kmph, c. 35 kmph, d. 45 kmph, e. 55 kmph", "pos": "Problem: a train 100 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train ?\nOptions: a. 45 kmph, b. 55 kmph, c. 32 kmph, d. 61 kmph, e. 70 kmph", "neg": "Problem: how many seconds will a 550 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?\nOptions: a. 12 sec, b. 30 sec, c. 33 sec, d. 16 sec, e. 18 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}487{"query": "Problem: for any integer n greater than 1, n * denotes the product of all the integers from 1 to n, inclusive. how many prime numbers are there between 6 * + 2 and 6 * + 6, inclusive ?\nOptions: a. none, b. one, c. two, d. three, e. four", "pos": "Problem: how many integers n are prime numbers in the range 200 < n < 220 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "neg": "Problem: how many prime numbers are between 51 / 13 and 89 / 9 ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}488{"query": "Problem: what is the area of an equilateral triangle whose one side length is 50 ?\nOptions: a. 225 √ 3, b. 325 √ 3, c. 425 √ 3, d. 525 √ 3, e. 625 √ 3", "pos": "Problem: what is the perimeter of an isosceles right angled triangle. the area of the isosceles right angled triangle is 50.\nOptions: ['a. 25', 'b. 36', 'c. 25', 'd. 30', 'e. 34.14']", "neg": "Problem: calculate the area of a triangle, if the sides of are 65 cm, 60 cm and 25 cm, what is its area ?\nOptions: a. 850 cm 2, b. 750 cm 2, c. 450 cm 2, d. 550 cm 2, e. 650 cm 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}489{"query": "Problem: on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with 5 times the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.80 per glass on the first day, what was the price per glass on the second day ?\nOptions: a. $ 015, b. $ 0.27, c. $ 0.30, d. $ 0.40, e. $ 0.45", "pos": "Problem: on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with five times the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.80 per glass on the first day, what was the price per glass on the second day ?\nOptions: a. $ 015, b. $ 0.27, c. $ 0.30, d. $ 0.40, e. $ 0.45", "neg": "Problem: on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.70 per glass on the first day, what was the price per glass on the second day ?\nOptions: a. $ 0.15, b. $ 0.20, c. $ 0.30, d. $ 0.40, e. $ 0.46", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}490{"query": "Problem: if 2 men or 3 women can reap a field in 10 days how long will 4 men and 5 women take to reap it ?\nOptions: a. 2 / 25, b. 11 / 30, c. 3 / 60, d. 5 / 42, e. 7 / 12", "pos": "Problem: 10 women can complete a work in 5 days and 10 children take 10 days to complete the work. how many days will 5 women and 10 children take to complete the work ?\nOptions: a. 4, b. 5, c. 7, d. 8, e. 2", "neg": "Problem: 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.\nOptions: a. 4 days, b. 6 days, c. 2 days, d. 8 days, e. 10 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}491{"query": "Problem: the average of 11 10 prime numbers which are odd is ?\nOptions: a. 17.72, b. 18.52, c. 19.63, d. 16.53, e. 15.63", "pos": "Problem: the average of first 35 prime numbers is ?\nOptions: a. 14.54, b. 15.6, c. 15.8, d. 14.7, e. 14.8", "neg": "Problem: the average of first 7 prime numbers is ?\nOptions: a. 10.11, b. 11.11, c. 8.29, d. 13.11, e. 14.11", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}492{"query": "Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 25 ?\nOptions: a. 45, b. 49, c. 53, d. 57, e. 61", "pos": "Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking. the swiss chocolate cost $ 2.5 per pound, and german chocolate cost $ 1.5 per pound. if the total the she spent on chocolate was $ 30 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased ?\nOptions: a. 7, b. 18, c. 10, d. 12, e. 11", "neg": "Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 24 ?\nOptions: a. 44, b. 46, c. 48, d. 50, e. 52", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}493{"query": "Problem: during the first two weeks of january, the total rainfall in springdale was 25 inches. if the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of january ?\nOptions: a. 5 inches, b. 6 inches, c. 9 inches, d. 10 inches, e. 15 inches", "pos": "Problem: during the first two weeks of january, the total rainfall in springdale was 20 inches. if the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of january ?\nOptions: a. 5 inches, b. 6 inches, c. 9 inches, d. 10 inches, e. 12 inches", "neg": "Problem: to fill a tank, 25 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two - fifth of its present ?\nOptions: a. 52.5, b. 62.5, c. 72.5, d. 82.5, e. 81.5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}494{"query": "Problem: a train crosses a bridge of length 200 m in 10 seconds and a lamp post on the bridge in 5 seconds. what is the length of the train in metres ?\nOptions: a. 375 m, b. 750 m, c. 200 m, d. 800 m, e. 300 m", "pos": "Problem: a train 250 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 150 m long ?\nOptions: a. 45 sec, b. 42 sec, c. 32 sec, d. 48 sec, e. 25 sec", "neg": "Problem: a train crosses a bridge of length 1500 m in 70 seconds and a lamp post on the bridge in 20 seconds. what is the length of the train in metres ?\nOptions: a. 375 m, b. 750 m, c. 250 m, d. 600 m, e. 300 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}495{"query": "Problem: 10 ^ ( 600 ) ã · 10 ^ ( 580 ) = ?\nOptions: a. 10 ^ 10, b. 10 ^ 20, c. 10 ^ 22, d. 10 ^ 23, e. 10 ^ 24", "pos": "Problem: 10, 1000, 100000, 10000000....\nOptions: a. 100, 000,000, b. 1,000, 000,000, c. 1, 000,000, 000,000, d. 100, e. 1, 000,000", "neg": "Problem: if n = 10 ^ 100 and n ^ n = 10 k what is the value of k ?\nOptions: a. 200, b. 10 ^ 100, c. 10 ^ 102, d. 100 ^ 100, e. 1000 ^ 10", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}496{"query": "Problem: the l. c. m of two numbers is 2310 and their h. c. f is 30. if one number is 385 the other is\nOptions: a. 180, b. 300, c. 270, d. 250, e. 350", "pos": "Problem: the h. c. f. of two numbers is 15 and the other two factors of their l. c. m. are 11 and 15. the larger of the two numbers is :\nOptions: a. 225, b. 300, c. 299, d. 322, e. 345", "neg": "Problem: the l. c. m of two numbers is 2310 and their h. c. f is 30. if one number is 462 the other is\nOptions: a. 330, b. 300, c. 270, d. 150, e. 350", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}497{"query": "Problem: if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 440, what is the least possible value of n ?\nOptions: a. 10, b. 11, c. 12, d. 13, e. 14", "pos": "Problem: if n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 8, what is the least possible value of n ?\nOptions: a. 7, b. 4, c. 5, d. 3, e. 6", "neg": "Problem: if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 630, what is the least possible value of n ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}498{"query": "Problem: mary and mike enter into a partnership by investing $ 550 and $ 450 respectively. at the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. if mary received $ 1000 more than mike did, what was the profit made by their business in that year ?\nOptions: a. $ 8000, b. $ 10000, c. $ 15000, d. $ 12000, e. $ 12500", "pos": "Problem: ravi and sunil are partners in a business. ravi invests rs. 12,000 for 4 months and sunil invested rs. 10000 for 5 months then after one year ratio of their profits will be\nOptions: a. 1: 3, b. 2: 3, c. 24: 25, d. 20: 22, e. 3: 4", "neg": "Problem: a and b started a business in partnership investing rs. 20000 and rs. 15000 respectively. after 6 months, c joined them with rs. 20000. what will be a ' s share in the total profit of rs. 27000 earned at the end of 2 years from the starting of the business ?\nOptions: a. rs. 7500, b. rs. 9000, c. rs. 9500, d. rs. 10,800, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}499{"query": "Problem: a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 24 seconds. what is the length of the goods train ?\nOptions: a. 230 m, b. 240 m, c. 260 m, d. 270 m, e. none of these", "pos": "Problem: a train passes a platform in 32 seconds. the same train passes a man standing on the platform in 20 seconds. if the speed of the train is 54 km / hr, the length of the platform is\nOptions: a. 180 meter, b. 240 meter, c. 200 meter, d. 260 meter, e. none of these", "neg": "Problem: a goods train runs at the speed of 72 km / hr and crosses a 290 m long platform in 26 sec. what is the length of the goods train ?\nOptions: a. 278, b. 166, c. 151, d. 230, e. 109", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}500{"query": "Problem: 20 men can dig a tunnel in 30 days. if after 10 days, 20 more men are deployed to dig the tunnel, how many more days it will take to dig the whole tunnel ?\nOptions: a. 10, b. 15, c. 20, d. 25, e. 30", "pos": "Problem: if 30 men take 15 days to to complete a job, in how many days can 25 men finish that work ?\nOptions: a. 18, b. 17, c. 16, d. 15, e. 14", "neg": "Problem: 9 men working 8 hours per day dig 30 m deep. how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?\nOptions: a. 33, b. 66, c. 88, d. 11, e. 281", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}501{"query": "Problem: if the product of 10 integers is negative, at most how many of the integers can be negative ?\nOptions: a. 2, b. 3, c. 4, d. 9, e. 6", "pos": "Problem: if a, b, c, d, e and f are integers and ( ab + cdef ) < 0, then what is the maximum number d of integers that can be negative ?\nOptions: a. 2, b. 3, c. 4, d. 5, e. 6", "neg": "Problem: the average of 10 numbers is 0. in those 10, at the least, how many may be greater than or equal to zero ?\nOptions: a. 0, b. 1, c. 2, d. 3, e. 5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}502{"query": "Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. the ratio of their speeds is :\nOptions: a. 3 / 7, b. 3 / 2., c. 3 / 88, d. 3 / 8., e. 2 / 2.", "pos": "Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. the ratio of their speeds i\nOptions: a. 1: 3, b. 3: 2, c. 3: 4, d. 4: 2, e. none of these", "neg": "Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 22 seconds. the ratio of their speeds is ?\nOptions: a. 3 / 1, b. 3 / 1, c. 1 / 1, d. 3 / 5, e. 5 / 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}503{"query": "Problem: the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs. 72. find the principal ?\nOptions: a. 2277, b. 2667, c. 3600, d. 2766, e. 1800", "pos": "Problem: what will be the compound interest on a sum of rs. 28,000 after 3 years at the rate of 12 % p. a. ?\nOptions: a. s. 10123.77, b. s. 10123.21, c. s. 10123.20, d. s. 10123.28, e. s. 11337.98", "neg": "Problem: the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs. 216. find the principal ?\nOptions: a. 2277, b. 2667, c. 5400, d. 2766, e. 1811", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}504{"query": "Problem: in a division, a student took 63 as divisor instead of 36. his answer was 24. the correct answer is -\nOptions: a. 42, b. 32, c. 48, d. 28, e. 38", "pos": "Problem: a student got twice as many sums wrong as he got right. if he attempted 36 sums in all, how many did he solve correctly ?\nOptions: a. 12, b. 16, c. 18, d. 24, e. 26", "neg": "Problem: a student was asked to find 4 / 5 of a number. but the student divided the number by 4 / 5, thus the student got 27 more than the correct answer. find the number.\nOptions: a. 40, b. 50, c. 60, d. 70, e. 80", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}505{"query": "Problem: the sum of the numbers is 550. if the first number be twice the second and third number be one - third of the first, then the second number is :\nOptions: a. 48, b. 150, c. 72, d. 84, e. 27", "pos": "Problem: s is a set of 50 consecutive multiples of 2. if the smallest number in s is 56, then the greatest number in s is\nOptions: a. 198, b. 154, c. 199, d. 102, e. 105", "neg": "Problem: a no. when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 50 as remainder. find the no. is ?\nOptions: a. 145646, b. 236578, c. 645353, d. 456546, e. 220050", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}506{"query": "Problem: what is 121 times 11 ?\nOptions: a. 1331, b. 1313, c. 1133, d. 3131, e. 3311", "pos": "Problem: what is the square root of 121 ?\nOptions: a. 11, b. 12, c. 16, d. 18, e. 25", "neg": "Problem: 1391 x 1391 = ?\nOptions: a. a. 1951609, b. b. 1951601, c. c. 1951602, d. d. 1951603, e. e. 1934881", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}507{"query": "Problem: if ( 1 – 1.25 ) n = 4, then n =\nOptions: a. − 400, b. − 16, c. − 4, d. 4, e. 400", "pos": "Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 2 ?\nOptions: a. 0.0016, b. 0.0625, c. 0.16, d. 0.25, e. 0.5", "neg": "Problem: if 625 ^ ( - x ) + 25 ^ ( - 2 x ) + 5 ^ ( - 4 x ) = 14, what is the value of x ?\nOptions: a. - 4, b. - 1 / 4, c. 0, d. 1 / 4, e. 4", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}508{"query": "Problem: four 6 faced dice are thrown together. the probability that all the three show the same number on them is ?\nOptions: a. 1 / 32, b. 1 / 216, c. 1 / 33, d. 1 / 38, e. 1 / 34", "pos": "Problem: three 6 faced dice are thrown together. the probability that exactly two dice show the same number on them is\nOptions: a. 5 / 15, b. 5 / 12, c. 5 / 19, d. 5 / 12, e. 5 / 11", "neg": "Problem: what is the probability of getting a sum of 8 or 14 when rolling 3 dice simultaneously ?\nOptions: a. 1 / 6, b. 1 / 4, c. 1 / 2, d. 21 / 216, e. 32 / 216", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}509{"query": "Problem: the average age of 25 students in a class is 12 years. if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?\nOptions: a. 40, b. 35, c. 29, d. 38, e. 42", "pos": "Problem: the average age of 40 students in a class is 10 years. if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?\nOptions: a. 59, b. 55, c. 61, d. 51, e. 36", "neg": "Problem: the average age of 28 students in a group is 12 years. when teacher â € ™ s age is included to it, the average increases by one. what is the teacher â € ™ s age in years ?\nOptions: a. 31, b. 36, c. 41, d. 51, e. none", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}510{"query": "Problem: 7, 26, 63, 124, 215, 342, (.... )\nOptions: a. 481, b. 391, c. 511, d. 421, e. 452", "pos": "Problem: 212: 436: : 560: ?\nOptions: a. 786, b. 682, c. 784, d. 688, e. 622", "neg": "Problem: 1, 8, 27, 64, 125, 216, (.... )\nOptions: a. 354, b. 343, c. 245, d. 392, e. 400", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}511{"query": "Problem: a team p of 20 engineers can complete work or task in 32 days. another team q of 16 engineers can complete same task in 30 days. then the ratio of working capacity of 1 member of p to the 1 member of q is a. 3: 2\nOptions: a. 22, b. 34, c. 77, d. 29, e. 21", "pos": "Problem: a can complete a project in 20 days and b can complete the same project in 40 days. if a and b start working on the project together and a quits 10 days before the project is completed, in how many days will the project be completed ?\nOptions: a. 18 days, b. 20 days, c. 26.67 days, d. 16 days, e. 12 days", "neg": "Problem: a can do a job in 20 days and b can do it in 30 days. a and b working together will finish thrice the amount of work in - - - - - - - days ?\nOptions: a. 22 days, b. 22 days, c. 36 days, d. 72 days, e. 24 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}512{"query": "Problem: a certain kind of necklace is made from 9 green, 6 white, and 3 orange beads. what is the maximum number of these necklaces that can be made from 45 beads of each color ?\nOptions: a. 7, b. 8, c. 5, d. 6, e. 2", "pos": "Problem: what is the maximum number e of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?\nOptions: ['a. 36', 'b. 32', 'c. 24', 'd. 21', 'e. 15']", "neg": "Problem: i have only 1 $ and 2 $ note. i want to give 95 $ to john. how many maximum number of 1 $ note i need ?\nOptions: a. 53, b. 35, c. 47, d. 95, e. 62", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}513{"query": "Problem: for 2 consecutive yrs, my incomes are in the ratio of 4: 7 and expenses in the ratio of 3: 5. if my income in the 2 nd yr is rs. 42000 & my expenses in the first yr in rs. 22000, my total savings for the two - year is\nOptions: a. s. 8000, b. s. 9000, c. s. 9900, d. s. 9990, e. s. 10000", "pos": "Problem: a, b and c started a business with a total investment of rs. 72000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find b ' s share.\nOptions: a. rs. 3240, b. rs. 2520, c. rs. 2880, d. rs. 3360, e. none of these", "neg": "Problem: for 2 consecutive yrs, my incomes are in the ratio of 4: 7 and expenses in the ratio of 3: 5. if my income in the 2 nd yr is rs. 42000 & my expenses in the first yr in rs. 20000, my total savings for the two - year is\nOptions: a. s. 8000, b. s. 9000, c. s. 9900, d. s. 9990, e. s. 11000", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}514{"query": "Problem: the average of 45 results is 25 and the average of other 25 results is 45. what is the average of all the results ?\nOptions: a. 24, b. 32, c. 48, d. 50, e. none", "pos": "Problem: in a class of 25 students in an examination in maths 3 students scored 95 marks each, 3 get zero each and the average of the rest was 45. what is the average of the whole class ?\nOptions: a. 47, b. 45.6, c. 44, d. 48, e. 49", "neg": "Problem: the average of 5 quantities is 12. the average of 3 of them is 4. what is the average of remaining 2 numbers ?\nOptions: a. 24, b. 10, c. 8, d. 9.5, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}515{"query": "Problem: a, b and c invests rs. 2000, rs. 3000 and rs. 4000 in a business. after two year a removed his money; b and c continued the business for one more year. if the net profit after 3 years be rs. 4800, then a ' s share in the profit is ?\nOptions: a. 600, b. 400, c. 678, d. 867, e. 768", "pos": "Problem: a and b invests rs. 3000 and rs. 5500 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?\nOptions: a. 8: 8, b. 9: 8, c. 9: 7, d. 9: 5, e. 9: 11", "neg": "Problem: a, b and c started a business by investing rs. 800 / -, rs. 1000 / - and rs. 1200 / - respectively for two years. total profit is rs. 1000 / -. find the c ' s share ?\nOptions: a. rs. 600, b. rs. 500, c. rs. 400, d. rs. 800, e. rs. 900", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}516{"query": "Problem: 10 friends meet for movie 20 for picnic and 5 for games 4 for movie & picnic 2 for movie & games, 0 for picnic & games, 2 for all, how many are students are there in all ?\nOptions: a. 30, b. 31, c. 32, d. 33, e. 34", "pos": "Problem: of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. there are 19 boys and 41 girls. if there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad ?\nOptions: a. 2, b. 7, c. 6, d. 8, e. 10", "neg": "Problem: in a class, 10 students like to play basketball and 8 like to play cricket. 4 students like to play on both basketball and cricket. how many students like to play basketball or cricket or both ?\nOptions: a. 12, b. 15, c. 16, d. 18, e. 14", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}517{"query": "Problem: the angle between the minute hand and the hour hand of a clock when the time is 9.30, is\nOptions: a. 35 °, b. 65 °, c. 45 °, d. 105 °, e. 95 °", "pos": "Problem: rahul put his timepiece on the table in such a way that at 6 p. m. hour hand points to north. in which direction the minute hand will point at 9.15 p. m. ?\nOptions: a. 233, b. 37, c. 27, d. west, e. 271", "neg": "Problem: at 3: 40, the hour hand and the minute hand of a clock form an angle of\nOptions: a. 160 °, b. 180 °, c. 130 °, d. 110 °, e. 150 °", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}518{"query": "Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively. a third pipe c can drain off 36 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank ?\nOptions: a. 542, b. 540, c. 514, d. 829, e. 432", "pos": "Problem: pipe a can fill a tank in 6 hours. due to a leak at the bottom, it takes 12 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank ?\nOptions: a. 13, b. 17, c. 18, d. 19, e. 12", "neg": "Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively. a third pipe c can drain off 56 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank ?\nOptions: a. 549, b. 540, c. 542, d. 672, e. 279", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}519{"query": "Problem: how many integerskgreater than 100 and less than 700 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k + 99 ?\nOptions: a. 50, b. 60, c. 70, d. 80, e. 90", "pos": "Problem: how many integers k greater than 100 and less than 700 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99 ?\nOptions: a. 50, b. 60, c. 70, d. 80, e. 90", "neg": "Problem: a palindrome is a number that reads the same forward and backward, such as 196. how many odd, 4 - digit numbers are palindromes ?\nOptions: a. 40, b. 45, c. 50, d. 90, e. 2500", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}520{"query": "Problem: a can give b 100 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race ?\nOptions: a. 111.12 m, b. 221.12 m, c. 271.12 m, d. 611.12 m, e. 191.12 m", "pos": "Problem: a can give b 60 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race ?\nOptions: a. 148.94, b. 148.13, c. 148.22, d. 111.0, e. 111.12", "neg": "Problem: a can give b 50 meters start and c 100 meters start in a kilometer race. how much start can b give c in a kilometer race ?\nOptions: a. 111.12, b. 111.67, c. 111.64, d. 52.63, e. 101.12", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}521{"query": "Problem: the product x of two prime numbers is between 17 and 60. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then x =\nOptions: a. 18, b. 29, c. 37, d. 44, e. 57", "pos": "Problem: the product x of two prime numbers is between 17 and 55. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 11 but less than 25, then x =\nOptions: a. 18, b. 29, c. 37, d. 44, e. 65", "neg": "Problem: 27 is a perfect cube. when x is added to the prime factor of 27, the result is a prime number. what is x ?\nOptions: a. 1, b. 3, c. 5, d. 8, e. 11", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}522{"query": "Problem: alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice - cream cups. the cost of each chapati is rs. 6, that of each plate of rice is rs. 45 and that of mixed vegetable is rs. 70. the amount that alok paid the cashier was rs. 961. find the cost of each ice - cream cup ?\nOptions: a. rs. 25, b. rs. 22.50, c. rs. 20, d. rs. 17.50, e. none of these", "pos": "Problem: a caterer ordered 225 ice - cream bars and 125 sundaes. if the total price was $ 200.00 and the price of each ice - cream bar was $ 0.60, what was the price of each sundae ?\nOptions: a. $ 0.52, b. $ 0.80, c. $ 1.00, d. $ 1.20, e. $ 1.60", "neg": "Problem: a caterer ordered 125 ice - cream bars and 125 sundaes. if the total price was $ 225.00 and the price of each ice - cream bar was $ 0.60, what was the price of each sundae ?\nOptions: a. $ 0.60, b. $ 0.80, c. $ 1.00, d. $ 1.20, e. $ 1.60", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}523{"query": "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon. how many diagonals does a regular 20 - sided polygon have ?\nOptions: ['a. 875', 'b. 170', 'c. 1425', 'd. 2025', 'e. 2500']", "pos": "Problem: the number of diagonals of a polygon of n sides is given by the formula v = n ( n - 3 ) / 2. if a polygon has twice as many diagonals as sides, how many sides does it have ?\nOptions: a. 3, b. 5, c. 6, d. 7, e. 8", "neg": "Problem: how many diagonals does a 60 - sided convex polygon have ?\nOptions: a. 960, b. 1280, c. 1710, d. 2560, e. 3420", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}524{"query": "Problem: if 70 % of a number is equal to two - third of another number, what is the ratio of first number to the second number ?\nOptions: a. 5: 7, b. 18: 23, c. 17: 19, d. 20: 21, e. 2: 3", "pos": "Problem: two numbers are in the ratio of 7: 6. if 18 be subtracted from each, they are in the ratio of 6: 5. find the numbers ?\nOptions: a. 5,9, b. 7,9, c. 4,7, d. 7,6, e. 6,9", "neg": "Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ?\nOptions: a. 3: 7, b. 1: 3, c. 5: 49, d. 1: 7, e. 3: 49", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}525{"query": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of z is less than the square root of z. what is the greatest two digit prime saturated integer ?\nOptions: a. 99, b. 98, c. 97, d. 96, e. 95", "pos": "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of t is less than the square root of t. what is the greatest two digit prime saturated integer ?\nOptions: a. 99, b. 98, c. 97, d. 96, e. 95", "neg": "Problem: a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime. the product of all the possible units digits of sophie germain primes greater than 8 is\nOptions: a. 189, b. 197, c. 221, d. 227, e. 230", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}526{"query": "Problem: the average monthly income of p and q is rs. 2050. the average monthly income of q and r is rs. 5250 and the average monthly income of p and r is rs. 6200. the monthly income of r is :\nOptions: a. 5100, b. 4900, c. 9400, d. 1500, e. 3200", "pos": "Problem: raja spends 35 % of his monthly income on household items, 20 % of his monthly income on buying cloths, 5 % of his monthly income on medicines and saves the remaining amount which is rs. 15000. find his monthly income.\nOptions: a. rs. 40000, b. rs. 36000, c. rs. 37500, d. rs. 45000, e. none of these", "neg": "Problem: the average monthly income of p and q is rs. 5050. the average monthly income of q and r is rs. 6250 and the average monthly income of p and r is rs. 5200. the monthly income of p + q + r is :\nOptions: a. 16100, b. 15700, c. 17500, d. 16000, e. 16500", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}527{"query": "Problem: find large number from below question the difference of two numbers is 1311. on dividing the larger number by the smaller, we get 11 as quotient and the 11 as remainder\nOptions: a. 1209, b. 1324, c. 1441, d. 1300, e. 1635", "pos": "Problem: the h. c. f of two numbers is 23 and the other two factors of their l. c. m are 13 and 14. the larger of the two numbers is :\nOptions: a. 338, b. 278, c. 322, d. 231, e. 121", "neg": "Problem: find large number from below question the difference of two numbers is 1355. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder\nOptions: a. 1235, b. 1345, c. 1678, d. 1767, e. 1623", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}528{"query": "Problem: 1 blue dice and 2 red dice are thrown.... what is the probability that the no. appeared on blue dice is always greater than both the no. appeared on the 2 red dice..\nOptions: a. 55 / 216, b. 56 / 216, c. 57 / 216, d. 54 / 216, e. 53 / 216", "pos": "Problem: if two dice are thrown together, the probability of getting an even number on both dice is\nOptions: a. 1 / 4, b. 1 / 5, c. 1 / 6, d. 1 / 3, e. 1 / 2", "neg": "Problem: what is the probability that the sum of two dice will yield a 5, and then when both are thrown again, their sum will again yield a 5 ? assume that each die has 4 sides with faces numbered 1 to 4.\nOptions: a. 1 / 144, b. 1 / 36, c. 1 / 12, d. 1 / 16, e. 1 / 3", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}529{"query": "Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department. if none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions ?\nOptions: a. 216, b. 212, c. 214, d. 210, e. 120", "pos": "Problem: in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 1,155, and if 1 < p < q < r < s, how many students in the class are accounting majors ?\nOptions: a. 3, b. 5, c. 8, d. 11, e. 17", "neg": "Problem: how many three - element subsets of { 1,2, 3,4 } are there that do not contain the pair of elements 2 and 4 ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}530{"query": "Problem: excluding stoppages, the speed of the bus is 54 kmph and including stoppages, it is 36 kmph. for how many minutes does the bus stop per hr\nOptions: a. 12 min, b. 11 min, c. 13 min, d. 19 min, e. 20 min", "pos": "Problem: excluding stoppages, the average speed of a bus is 60 km / hr and including stoppages, the average speed of the bus is 15 km / hr. for how many minutes does the bus stop per hour ?\nOptions: a. 22, b. 88, c. 77, d. 20, e. 45", "neg": "Problem: excluding the stoppages, the speed of a bus is 48 km / hr and including the stoppages the speed of the bus is 12 km / hr. for how many minutes does the bus stop per hour ?\nOptions: a. 45 min, b. 10 min, c. 12 min, d. 20 min, e. 18 min", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}531{"query": "Problem: a person ' s present age is two - fifth of the age of his mother. after 4 years, he will be one - half of the age of his mother. how old is the mother at present ?\nOptions: a. a. 25, b. b. 40, c. c. 20, d. d. 45, e. e. 28", "pos": "Problem: the sum of the present ages of a father and his son is 42 years. 6 years ago, father ' s age was 4 times the age of the son. after 6 years, son ' s age will be :\nOptions: a. 14, b. 16, c. 18, d. 20, e. 22", "neg": "Problem: a person ' s present age is two - fifth of the age of his mother. after 8 years, he will be one - half of the age of his mother. how old is the mother at present\nOptions: a. 38, b. 40, c. 42, d. 44, e. 45", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}532{"query": "Problem: a 150 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. what is the length of the platform ?\nOptions: a. 300, b. 175, c. 360, d. 370, e. 380", "pos": "Problem: a train 124 m long running at 68 kmph crosses a platform in 19 sec. what is the length of the platform ?\nOptions: a. 338, b. 234, c. 240, d. 881, e. 271", "neg": "Problem: a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 36 sec. what is the length of the platform ?\nOptions: a. 389 m, b. 350 m, c. 289 m, d. 299 m, e. 25 m", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}533{"query": "Problem: a bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. if the total value is 35, how many coins of each type are there ?\nOptions: a. 20 coins, b. 30 coins, c. 28 coins, d. 25 coins, e. none of these", "pos": "Problem: jansi went out for shopping. she had in her handbag approximately rs. 15 / - in one rupee notes and 20 p. coins. when she returned she had as many one rupee notes as she originally had and as many 20 p. coins as she originally had one rupee notes. she actually came back with about one - third of what she had started out with. how much did she spend and exactly how much did she have with her when she started out ?\nOptions: a. 9.6, b. 10.6, c. 11.0, d. 9.4, e. 8.1", "neg": "Problem: p, q and r have rs. 7000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r ?\nOptions: a. rs. 3000, b. rs. 3600, c. rs. 2400, d. rs. 2800, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}534{"query": "Problem: a girl scout was selling boxes of cookies. in a month, she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ). altogether, she sold 1,585 boxes for a combined value of $ 1, 588.25. how many boxes of plain cookies did she sell ?\nOptions: a. 0, b. 233, c. 500, d. 695, e. 786", "pos": "Problem: mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 6 boxes less than n and ann sold 2 boxes less than n. if mark and ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n ?\nOptions: a. 1, b. 2, c. 3, d. 4, e. 5", "neg": "Problem: mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 11 boxes less than n and ann sold 2 boxes less than n. if mark and ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n ?\nOptions: a. 10, b. 11, c. 12, d. 13, e. 14", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}535{"query": "Problem: how many positive even integers less than 100 contain digits 5 or 7 ?\nOptions: a. 10, b. 17, c. 18, d. 19, e. 20", "pos": "Problem: how many different positive integers exist between 10 ^ 5 and 10 ^ 6, the sum of whose digits is equal to 2 ?\nOptions: a. 6, b. 7, c. 5, d. 8, e. 18", "neg": "Problem: how many positive even integers less than 100 contain digits 5 or 9 ?\nOptions: a. 16, b. 10, c. 18, d. 19, e. 20", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}536{"query": "Problem: a person can swim in still water at 4 km / h. if the speed of water 2 km / h, how many hours will the man take to swim back against the current for 10 km ?\nOptions: a. 3, b. 5, c. 8, d. 9, e. 6", "pos": "Problem: a swimmer can swim in still water at 4 km / h. if the speed of the water current is 2 km / h, how many hours will the swimmer take to swim against the current for 5 km ?\nOptions: a. 2.0, b. 2.5, c. 3.0, d. 3.5, e. 4.0", "neg": "Problem: a person can swim in still water at 12 km / h. if the speed of water 10 km / h, how many hours will the man take to swim back against the current for 8 km ?\nOptions: a. 4, b. 7, c. 5, d. 9, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}537{"query": "Problem: the price of a certain painting increased by 25 % during the first year and decreased by 15 % during the second year. the price of the painting at the end of the 2 - year period was what percent of the original price ?\nOptions: a. 109 %, b. 106.25 %, c. 120 %, d. 115 %, e. 110 %", "pos": "Problem: the price of a jacket is reduced by 25 %. during a special sale the price of the jacket is reduced another 25 %. by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?\nOptions: a. 32.5, b. 77.78, c. 48, d. 65, e. 67.5", "neg": "Problem: the price of a certain painting increased by 30 % during the first year and decreased by 15 % during the second year. the price of the painting at the end of the 2 - year period was what percent of the original price ?\nOptions: a. 102 %, b. 105 %, c. 110.5 %, d. 112.5 %, e. 100 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}538{"query": "Problem: a car runs at the speed of 25 km per hour when not serviced and runs at 75 kmph when serviced. after servicing the car covers a certain distance in 5 hours. how much time will the car take to cover the same distance when not serviced ?\nOptions: a. 8 hours, b. 16 hours, c. 15 hours, d. 7 hours, e. none", "pos": "Problem: car a is 16 miles behind car b, which is traveling in the same direction along the same route as car a. car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour. how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?\nOptions: a. 1.5, b. 2.0, c. 2.5, d. 3.0, e. 3.5", "neg": "Problem: a car is 15 minutes late by running at a speed of 4 / 5 th of its actual speed. the actual time taken by the car to cover that distance is :\nOptions: a. 30 minutes, b. 1 hour, c. 2 hours, d. 3 hours, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}539{"query": "Problem: rs. 1010 / - distributed among a, b and c such that on decreasing their shares by rs. 25, rs. 10 and rs. 15 respectively, the balance money would be divided among them in the ratio 3: 2: 5. then, c ’ s share is: ?\nOptions: a. rs. 485, b. rs. 495 / -, c. rs. 575, d. rs. 685, e. rs. 592", "pos": "Problem: rs. 1210 were divided among 3 person p, q, r so that p: q = 5: 4 and q: r = 9: 10. then r gets the amount ?\nOptions: a. rs. 300, b. rs. 400, c. rs. 480, d. rs. 500, e. rs. 520", "neg": "Problem: an amount of money is to be distributed among faruk, vasim and ranjith in the ratio 3: 5: 11. if vasims share is rs. 1500, what is the difference between faruk ' s and ranjith ' s shares ?\nOptions: a. s 1200, b. s 1500, c. s 1600, d. s 1900, e. s 2400", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}540{"query": "Problem: a is twice as good a work man as b and together they finish a piece of work in 36 days. the number of days taken by b alone to finish the work is :\nOptions: a. 100 days., b. 108 days., c. 98 days., d. 47 days., e. 103 days.", "pos": "Problem: a can do a job in 9 days and b can do it in 27 days. a and b working together will finish twice the amount of work in - - - - - - - days ?\nOptions: a. 22 days, b. 18 days, c. 22 6 / 2 days, d. 27 days, e. 9 days", "neg": "Problem: a is twice as good a workman as b and they took 6 days together to do the work b alone can do it in.\nOptions: a. 18 days, b. 12 days, c. 29 days, d. 25 days, e. 27 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}541{"query": "Problem: 5 % of ( 25 % of $ 1600 ) is ?\nOptions: a. $ 20, b. $ 30, c. $ 45, d. $ 15, e. $ 60", "pos": "Problem: 32 % of 1500 is\nOptions: a. 480, b. 440, c. 370, d. 415, e. 435", "neg": "Problem: 160 % of 5 / 8 =\nOptions: a. 0.2, b. 0.5, c. 0.6, d. 0.75, e. 1.0", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}542{"query": "Problem: what is the smallest number by which 2880 must be divided in order to make it into a perfect square ?\nOptions: a. 3, b. 4, c. 5, d. 6, e. 7", "pos": "Problem: if y is the smallest positive integer such that 7350 multiplied by y is the square of an integer, then y must be\nOptions: a. 2, b. 5, c. 6, d. 7, e. 14", "neg": "Problem: find the smallest number which should be multiplied with 36963 to make it a perfect square.\nOptions: a. 4, b. 7, c. 4, d. 3, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}543{"query": "Problem: how many diagonals does a 60 - sided convex polygon have ?\nOptions: a. 960, b. 1280, c. 1710, d. 2560, e. 3420", "pos": "Problem: what is the measure of the angle y made by the diagonals of the any adjacent sides of a cube.\nOptions: a. 30, b. 45, c. 60, d. 75, e. 90", "neg": "Problem: the number of diagonals of a polygon of n sides is given by the formula v = n ( n - 3 ) / 2. if a polygon has twice as many diagonals as sides, how many sides does it have ?\nOptions: a. 3, b. 5, c. 6, d. 7, e. 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}544{"query": "Problem: rs. 1210 were divided among 3 person p, q, r so that p: q = 5: 4 and q: r = 9: 10. then r gets the amount ?\nOptions: a. rs. 300, b. rs. 400, c. rs. 480, d. rs. 500, e. rs. 520", "pos": "Problem: rs. 1010 / - distributed among a, b and c such that on decreasing their shares by rs. 25, rs. 10 and rs. 15 respectively, the balance money would be divided among them in the ratio 3: 2: 5. then, c ’ s share is: ?\nOptions: a. rs. 485, b. rs. 495 / -, c. rs. 575, d. rs. 685, e. rs. 592", "neg": "Problem: divide rs. 5500 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 1 / 5 as a and c together. a ' s share is ?\nOptions: a. 1227, b. 1268, c. 1375, d. 1200, e. 1210", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}545{"query": "Problem: a fruit drink is made of orange, watermelon, and grape juice, where 35 percent of the drink is orange juice and 35 percent is watermelon juice. if the drink is made with 45 ounces of grape juice, how many ounces is the drink total ?\nOptions: a. 120, b. 140, c. 150, d. 180, e. 200", "pos": "Problem: a mixture of 150 liters of wine and water contains 15 % water. how much more water should be added so that water becomes 25 % of the new mixture ?\nOptions: a. 10, b. 30, c. 20, d. 15, e. 17", "neg": "Problem: if 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 20 percent grape juice then what percent of the resulting mixture is grape juice ?\nOptions: a. 14 %, b. 25 %, c. 28 %, d. 36 %, e. 50 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}546{"query": "Problem: for all real numbers v, an operation is defined by the equation v * = v - v / 3. if ( v * ) * = 24, then v =\nOptions: a. 45, b. 48, c. 51, d. 54, e. 57", "pos": "Problem: if the number is divided by 3, it reduced by 36. the number is\nOptions: a. a. 51, b. b. 50, c. c. 45, d. d. 54, e. e. 36", "neg": "Problem: for all real numbers v, an operation is defined by the equation v * = v - v / 3. if ( v * ) * = 16, then v =\nOptions: a. 30, b. 33, c. 36, d. 39, e. 42", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}547{"query": "Problem: the least perfect square, which is divisible by each of 21,36 and 66 is\nOptions: ['a. 213444', 'b. 214344', 'c. 214434', 'd. 213443', 'e. none of these']", "pos": "Problem: if n is the smallest integer such that 72 times n is the square of an integer, what is the value of n ?\nOptions: a. 2, b. 3, c. 6, d. 12, e. 24", "neg": "Problem: the least perfect square, which is divisible by each of 21, 36 and 66 is\nOptions: a. 213414, b. 213424, c. 213434, d. 213444, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}548{"query": "Problem: what is the greatest prime factor of 2 ^ 10 - 1 ?\nOptions: a. 17, b. 19, c. 23, d. 29, e. 31", "pos": "Problem: for every even positive integer m, f ( m ) represents the product of all even integers from 2 to m, inclusive. for example, f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12. what is the greatest prime factor of f ( 24 ) ?\nOptions: a. 23, b. 19, c. 17, d. 13, e. 11", "neg": "Problem: if { x } is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of { 12 } + { 10 } ?\nOptions: a. 23, b. 20, c. 13, d. 5, e. 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}549{"query": "Problem: a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound. she mixes peanuts worth $ 1.50 a pound with cashews worth $ 5.00 a pound. how many pounds of cashews must she use ?\nOptions: a. 40, b. 45, c. 50, d. 55, e. 60", "pos": "Problem: each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water, by weight. after some of the water evaporates, the cucumbers are now 95 % water by weight. what is the new weight of the cucumbers, in pounds ?\nOptions: a. 2, b. 20, c. 92, d. 96, e. 98", "neg": "Problem: a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. what is the number of pounds of almonds in 280 pounds of the mixture ?\nOptions: a. 200, b. 84, c. 40, d. 28, e. 20", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}550{"query": "Problem: 4 years ago, paula was 4 times as old as karl. in 12 years, paula will be twice as old as karl. what is the sum of their ages now ?\nOptions: a. 36, b. 40, c. 44, d. 48, e. 52", "pos": "Problem: 5 years ago, paula was 3 times as old as karl. in 6 years, paula will be twice as old as karl. what is the sum of their ages now ?\nOptions: a. 42, b. 46, c. 50, d. 54, e. 58", "neg": "Problem: roy is now 6 years older than julia and half of that amount older than kelly. if in 4 years, roy will be twice as old as julia, then in 4 years what would be roy ’ s age multiplied by kelly ’ s age ?\nOptions: a. 72, b. 84, c. 90, d. 96, e. 108", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}551{"query": "Problem: there are 15 teams in a certain league and each team plays each of the other teams exactly twice. if each game is played by 2 teams, what is the total number of games played ?\nOptions: a. 15, b. 16, c. 28, d. 56, e. 210", "pos": "Problem: a team won 50 percent of its first 60 games in a particular season, and 80 percent of its remaining games. if the team won a total of 70 percent of its games that season, what was the total number of games that the team played ?\nOptions: a. 75, b. 90, c. 120, d. 150, e. 180", "neg": "Problem: there are 8 teams in a certain league and each team plays each of the other teams exactly once. if each game is played by 2 teams, what is the total number of games played ?\nOptions: a. 15, b. 16, c. 28, d. 56, e. 64", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}552{"query": "Problem: if w / x = 2 / 3 and w / y = 6 / 15, then ( x + y ) / y =\nOptions: a. 4 / 5, b. 6 / 5, c. 7 / 5, d. 8 / 5, e. 9 / 5", "pos": "Problem: if x / 2 = y / 5 = z / 6, then ( x + y + z ) / x is equal to :\nOptions: a. 13, b. 12, c. 15 / 2, d. 13 / 2, e. none of these", "neg": "Problem: if w / x = 2 / 3 and w / y = 3 / 5, then ( x + y ) / y =\nOptions: a. 4 / 5, b. 9 / 10, c. 7 / 5, d. 8 / 5, e. 9 / 5", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}553{"query": "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 500,000 ?\nOptions: a. 160, b. 200, c. 240, d. 300, e. 480", "pos": "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 500000 ?\nOptions: a. 160, b. 200, c. 240, d. 300, e. 480", "neg": "Problem: a palindrome is a number that reads the same forward and backward, such as 343. how many odd, 8 - digit numbers are palindromes ?\nOptions: a. 4000, b. 4500, c. 5055, d. 5000, e. 2500", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}554{"query": "Problem: a trader sold an article on a certain price with 40 % profit. if he sold double of previous selling price then find its profit %\nOptions: a. 140 %, b. 180 %, c. 120 %, d. 100 %, e. 150 %", "pos": "Problem: a man gains 40 % by selling an article for a certain price. if he sells it at double the price, the percentage of profit will be.\nOptions: a. 130 %, b. 180 %, c. 150 %, d. 160 %, e. 170 %", "neg": "Problem: a person buys an article at rs. 400. at what price should he sell the article so as to make a profit of 40 % ?\nOptions: a. 600, b. 277, c. 560, d. 261, e. 281", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}555{"query": "Problem: the average price of an decoration piece increases over the years. if from 1990 to 1996, the price of the decoration piece increased by 13 % and from 1996 to 2001 it increased by 20 %, what is the price of the decoration piece in 2001 if the price in 1990 was $ 11500 ?\nOptions: a. $ 15594., b. $ 15322., c. $ 14786., d. $ 14543., e. $ 12988.", "pos": "Problem: at the beginning of a year, the owner of a jewel shop raised the price of all the jewels in his shop by x % and lowered them by x %. the price of one jewel after this up and down cycle reduced by rs. 100. the owner carried out the same procedure after a month. after this second up - down cycle, the price of that jewel was rs. 2304. find the original price of that jewel ( in rs. )\nOptions: a. 2500, b. 550, c. 2600, d. 2650, e. none of these", "neg": "Problem: the price of a certain painting increased by 25 % during the first year and decreased by 15 % during the second year. the price of the painting at the end of the 2 - year period was what percent of the original price ?\nOptions: a. 109 %, b. 106.25 %, c. 120 %, d. 115 %, e. 110 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}556{"query": "Problem: how many 2 - inch by 3 - inch rectangular tiles are required to tile this shaded region ?\nOptions: ['a. less than 10', 'b. 10 — 100', 'c. 101 — 1,000', 'd. 1,001 — 1,500', 'e. 1,500 +']", "pos": "Problem: a room 5 m 55 cm long and 3 m 74 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor ?\nOptions: a. 122, b. 123, c. 828, d. 122, e. 176", "neg": "Problem: what is the least number of squares tiles required to pave the floor of a room 15.17 m long and 9.02 m broad ?\nOptions: ['a. 814', 'b. 266', 'c. 287', 'd. 999', 'e. 661']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}557{"query": "Problem: a cube is painted red on all faces. it is then cut into 27 equal smaller cubes. how many h cubes are painted on only 2 faces ?\nOptions: a. 12, b. 8, c. 6, d. 10, e. 16", "pos": "Problem: if the radius of a cylinder is made 3 times and so is the height, what is the new volume of the cylinder divided by the old one ?\nOptions: a. 27., b. 2., c. 6., d. 4., e. 10.", "neg": "Problem: a cube has one of its faces painted half red and half white. the other faces are completely painted white. what is the ratio between the red painted areas and the white painted areas of the cube ?\nOptions: a. 1: 6, b. 1: 11, c. 2: 5, d. 1: 8, e. 3: 11", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}558{"query": "Problem: the length of a rectangle is increased by 15 % and its breadth is decreased by 20 %. what is the effect on its area ?\nOptions: a. 1288, b. 1299, c. 1000, d. 10000, e. 9200", "pos": "Problem: the length of rectangle is thrice its breadth and its perimeter is 120 m, find the area of the rectangle ?\nOptions: a. 432 sq m, b. 356 sq m, c. 452 sq m, d. 428 sq m, e. 675 sq m", "neg": "Problem: the length and breadth of a rectangle is increased by 5 % and 15 % respectively. what is the increase in the area ?\nOptions: a. 21.25, b. 22.75, c. 19.25, d. 20.75, e. 22.25", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}559{"query": "Problem: solve the quickfire maths brain teaser â ˆ š 16 % = ?\nOptions: a. 30 %, b. 40 %, c. 85 %, d. 19 %, e. 29 %", "pos": "Problem: if b is the center of the circle in the figure above and the area of the shaded region is 16 π, what is the length of arc adc ?\nOptions: ['a. 4', 'b. 4 π', 'c. 16', 'd. 8 π', 'e. 16']", "neg": "Problem: 160 % of 5 / 8 =\nOptions: a. 0.2, b. 0.5, c. 0.6, d. 0.75, e. 1.0", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}560{"query": "Problem: how many seconds will a train 150 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?\nOptions: a. 28 sec, b. 23 sec, c. 29 sec, d. 30 sec, e. 36 sec", "pos": "Problem: how many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?\nOptions: a. 17 sec, b. 21 sec, c. 25 sec, d. 27 sec, e. 29 sec", "neg": "Problem: how many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?\nOptions: a. 28 sec, b. 29 sec, c. 24 sec, d. 25 sec, e. 26 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}561{"query": "Problem: the price of a bushel of corn is currently $ 3.20, and the price of a peck of wheat is $ 8.80. the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day. what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ?\nOptions: a. $ 8.40, b. $ 5.10, c. $ 5.30, d. $ 5.50, e. $ 5.60", "pos": "Problem: a garden center sells a certain grass seed in 5 - pound bags at $ 13.80 per bag, 10 - pound bags at $ 20.43 per bag, and 25 - pound bags $ 32.25 per bag. if a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy ?\nOptions: a. $ 98.73, b. $ 96.75, c. $ 98.78, d. $ 102.07, e. $ 105.3", "neg": "Problem: the price of a bushel of corn is currently $ 3.20, and the price of a peck of wheat is $ 6.80. the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day. what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ?\nOptions: a. $ 4.50, b. $ 5.10, c. $ 5.30, d. $ 5.50, e. $ 6.50", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}562{"query": "Problem: find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 9 cm and 6 cm ?\nOptions: a. 210 cm 2, b. 150 cm 2, c. 168 cm 2, d. 198 cm 2, e. 987 cm 2", "pos": "Problem: a rhombus has area 432 sq m, one diagonal is 36 cm. find other diagonal ?\nOptions: ['a. 2400 m', 'b. 2500 m', 'c. 2600 m', 'd. 2700 m', 'e. 2900 m']", "neg": "Problem: find the area of a parallelogram with base 26 cm and height 16 cm ?\nOptions: a. 297 cm 2, b. 384 cm 2, c. 672 cm 2, d. 416 cm 2, e. 286 cm 2", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}563{"query": "Problem: the largest one digit number which is a perfect cube, is :\nOptions: a. 7, b. 8, c. 9, d. 1, e. 0", "pos": "Problem: what is the units digit of ( 147 ^ 17 ) ^ 47 ?\nOptions: a. 1, b. 3, c. 5, d. 7, e. 9", "neg": "Problem: the largest three digit number which is a perfect cube, is :\nOptions: a. 125, b. 999, c. 343, d. 512, e. 729", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}564{"query": "Problem: when the price of a product was decreased by 20 %, the number sold increased by 60 %. what was the effect on the total revenue ?\nOptions: a. 28 %, b. 32 %, c. 35 %, d. 45 %, e. 52 %", "pos": "Problem: if price of t. v set is reduced by 20 %, then its sale increases by 80 %, find net effect on sale value\nOptions: a. 44, b. 45, c. 46, d. 47, e. 48", "neg": "Problem: the profits of qrs company rose 20 % from march to april, then dropped 20 % from april to may, then rose 50 % from may to june. what was the percent increase for the whole quarter, from march to june ?\nOptions: a. 15 %, b. 32 %, c. 44 %, d. 62 %, e. 80 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}565{"query": "Problem: in a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every 3 silver coins. with the addition of 15 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. based on this information, how many total coins are there now in this collection ( after the acquisition ) ?\nOptions: a. 124, b. 135, c. 146, d. 157, e. 168", "pos": "Problem: you collect baseball cards. suppose you start out with 15. maria takes half of one more than the number of baseball cards you have. since you ' re nice, you give peter 1 baseball card. since his father makes baseball cards, paul decides to triple your baseball cards. how many baseball cards do you have at the end ?\nOptions: a. 17, b. 18, c. 19, d. 20, e. 21", "neg": "Problem: jo ' s collection contains us, indian and british stamps. if the ratio of us to indian stamps is 5 to 2 and the ratio of indian to british stamps is 5 to 1, what is the ratio of us to british stamps ?\nOptions: a. 10: 5, b. 15: 2, c. 20: 2, d. 25: 2, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}566{"query": "Problem: positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of y ?\nOptions: a. 50, b. 100, c. 200, d. 1,000, e. 2,000", "pos": "Problem: 50 % of a number is more than 40 % of 120 by 180. find the number ?\nOptions: a. 456, b. 480, c. 420, d. 445, e. 320", "neg": "Problem: positive integer y is 50 percent of 25 percent of positive integer x, and y percent of x equals 100. what is the value of y ?\nOptions: a. 50, b. 125, c. 200, d. 1,000, e. 2,000", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}567{"query": "Problem: after giving a discount of rs. 45 the shopkeeper gets a loss of 10 %, if the cost price is rs. 180. find the markup % ?\nOptions: a. 0.21, b. 0.2, c. 0.17, d. 0.21, e. 0.15", "pos": "Problem: a man buys a cycle for rs. 1400 and sells it at a loss of 10 %. what is the selling price of the cycle ?\nOptions: a. rs. 1090, b. rs. 1160, c. rs. 1190, d. rs. 1202, e. none", "neg": "Problem: a shopkeeper loses 15 %, if an article is sold for rs. 102. what should be the selling price of the article to gain 20 % ?\nOptions: a. rs. 146, b. rs. 144, c. rs. 129, d. rs. 123, e. rs. 128", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}568{"query": "Problem: a student has to obtain 35 % of the total marks to pass. he got 100 marks and failed by 40 marks. the maximum marks are ?\nOptions: a. 280, b. 400, c. 420, d. 480, e. 520", "pos": "Problem: pradeep has to obtain 20 % of the total marks to pass. he got 390 marks and failed by 25 marks. the maximum marks are\nOptions: a. 300, b. 2075, c. 800, d. 1000, e. 3900", "neg": "Problem: a student has to obtain 33 % of the total marks to pass. he got 175 marks and failed by 56 marks. the maximum marks are ?\nOptions: a. 450, b. 300, c. 500, d. 610, e. 700", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}569{"query": "Problem: if a: b = 3: 4, b: c = 7: 9, c: d = 5: 7, find a: d ?\nOptions: a. 5 / 12, b. 5 / 15, c. 5 / 10, d. 5 / 11, e. 5 / 13", "pos": "Problem: the compound ratio of 7: 6, 3: 2 and 4: 5 ?\nOptions: a. 7: 5, b. 1: 87, c. 1: 6, d. 1: 9, e. 1: 2", "neg": "Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ?\nOptions: a. 3: 7, b. 1: 3, c. 5: 49, d. 1: 7, e. 3: 49", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}570{"query": "Problem: the average age of an adult class is 40 years. 12 new students with an avg age of 32 years join the class. therefore decreasing the average by 4 year. find what was theoriginal strength of class ?\nOptions: a. 8, b. 12, c. 15, d. 17, e. 18", "pos": "Problem: the average age of an adult class is 40 years. 12 new students with an avg age of 32 years join the class. therefore decreasing theaverage by 4 year. find what was theoriginal strength of class ?\nOptions: a. 11, b. 12, c. 17, d. 19, e. 21", "neg": "Problem: the average age of 40 students in a class is 10 years. if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?\nOptions: a. 59, b. 55, c. 61, d. 51, e. 36", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}571{"query": "Problem: a, b and c can do a piece of work in 24 days, 30 days and 40 days respectively. they began the work together but c left 12 days before the completion of the work. in how many days was the work completed ?\nOptions: a. 13 days, b. 16 days, c. 18 days, d. 11 days, e. 38 days", "pos": "Problem: a, b, c can complete a piece of work in 24, 8,12 days. working together, they complete the same work in how many days ?\nOptions: a. 4, b. 4 / 5, c. 7 / 9, d. 10, e. 24 / 7", "neg": "Problem: if a, b and c together can finish a piece of work in 4 days. a alone in 12 days and b in 18 days, then c alone can do it in ?\nOptions: a. 7 days, b. 3 days, c. 9 days, d. 8 days, e. 2 days", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}572{"query": "Problem: a parking garage rents parking spaces for $ 10 per week or $ 25 per month. how much does a person save in a year by renting by the month rather than by the week ?\nOptions: a. $ 120, b. $ 160, c. $ 220, d. $ 240, e. $ 260", "pos": "Problem: on a saturday night, each of the rooms at a certain motel was rented for either $ 40 or $ 60. if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40, then the total rent the motel charged for that night would have been reduced by 40 percent. what was the total rent the motel actually charged for that night ?\nOptions: a. $ 500, b. $ 800, c. $ 1,000, d. $ 1,600, e. $ 2,400", "neg": "Problem: the cost to park a car in a certain parking garage is $ 10.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours. what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ?\nOptions: a. $ 1.09, b. $ 1.67, c. $ 2.225, d. $ 2.47, e. $ 2.50", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}573{"query": "Problem: if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 630, what is the least possible value of n ?\nOptions: a. 5, b. 6, c. 7, d. 8, e. 9", "pos": "Problem: if the product of the integers from 1 to n is divisible by 378, what is the least possible value of n ?\nOptions: a. 7, b. 8, c. 9, d. 10, e. 11", "neg": "Problem: if n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 8, what is the least possible value of n ?\nOptions: a. 7, b. 4, c. 5, d. 3, e. 6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}574{"query": "Problem: the total marks obtained by a student in mathematics and physics is 30 and his score in chemistry is 20 marks more than that in physics. find the average marks scored in mathamatics and chemistry together.\nOptions: a. 40, b. 30, c. 25, d. data inadequate, e. none of these.", "pos": "Problem: the total marks obtained by a student in mathematics and physics is 50 and his score in chemistry is 20 marks more than that in physics. find the average marks scored in mathamatics and chemistry together.\nOptions: a. 15, b. 25, c. 35, d. 45, e. 55", "neg": "Problem: the total marks obtained by a student in mathematics and physics is 32 and his score in chemistry is 20 marks more than that in physics. find the average marks scored in mathamatics and chemistry together.\nOptions: a. 40, b. 26, c. 27, d. 28, e. 22", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}575{"query": "Problem: a lent rs. 5000 to b for 2 years and rs. 3000 to c for 4 years on simple interest at the same rate of interest and received rs. 1540 in all from both of them as interest. the rate of interest per annum is ?\nOptions: a. 7 %, b. 12 %, c. 74 %, d. 10 %, e. 45 %", "pos": "Problem: at what rate percent on simple interest will rs. 1500 amount to rs. 2000 in 5 years ?\nOptions: a. 8.33 %, b. 3 6 / 7 %, c. 2 6 / 7 %, d. 5 %, e. 6 %", "neg": "Problem: in simple interest what sum amounts of rs. 1120 / - in 4 years and rs. 1200 / - in 5 years ?\nOptions: a. rs. 500, b. rs. 600, c. rs. 800, d. rs. 900, e. rs. 700", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}576{"query": "Problem: solve for x and check: 25 x = 675\nOptions: a. 675, b. 725, c. 895, d. 1025, e. none of these", "pos": "Problem: if x is less than y by 25 % then y exceed x by :\nOptions: a. 33.33 %, b. 25 %, c. 75 %, d. 66.66 %, e. none of these", "neg": "Problem: a = 5 ^ 10 - 625 ^ 2 and a / x is an integer, where x is a positive integer greater than 1, such that it does not have a factor p such that 1 < p < x, then how many different values for x are possible ?\nOptions: a. none, b. one, c. two, d. three, e. four", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}577{"query": "Problem: given that x and y are events such that z ( x ) = 0.02 z ( y ) = 0.10 z ( xny ) = 0.10 z ( x | y ) = find z ( x | y ) and z ( x | y )\nOptions: a. 1 / 5, b. 1 / 6, c. 1 / 6, d. 1 / 4, e. 1 / 2", "pos": "Problem: if x is to be chosen at random from the set { 1, 2, 3, 4 } and y is to be chosen at random from the set { 6, 7 }, what is the probability that xy will be even ?\nOptions: a. 1 / 6, b. 1 / 3, c. 1 / 2, d. 2 / 3, e. 5 / 6", "neg": "Problem: the probability of two events a and b are 0.25 and 0.40 respectively. the probability that both a and b occur is 0.20. the probability that neither a nor b occur is _________\nOptions: a. 0.45, b. 0.4, c. 0.55, d. 0.05, e. 0.6", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}578{"query": "Problem: a jar contains a mixture of ab in the ratio 4: 1. when 40 l of mixture is replaced with liquid b, ratio becomes 2: 3. how many liters of liquid a was present in mixture initially.\nOptions: a. 12, b. 15, c. 16, d. 64, e. 25", "pos": "Problem: 30 liters of a mixture contains milk and water in the ratio 2: 1. if 5 liters of this mixture be replaced by 5 liters of milk, the ratio of milk to water in the new mixture would be ?\nOptions: a. 3: 2, b. 3: 1, c. 4: 1, d. 5: 2, e. 2: 1", "neg": "Problem: a jar contains a mixture of ab in the ratio 3: 2. when 20 l of mixture is replaced with liquid b, ratio becomes 2: 3. how many liters of liquid a was present in mixture initially.\nOptions: a. 12, b. 15, c. 16, d. 20, e. 36", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}579{"query": "Problem: the length of a rectangle is 3 times its width. if the width of the rectangle is 6 inches, what is the rectangle ' s area, in square inches ?\nOptions: a. 30 square inches, b. 108 square inches, c. 68 square inches, d. 89 square inches, e. 92 square inches", "pos": "Problem: a wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6: 5. what is the area of the rectangle ?\nOptions: ['a. 65 cm 2', 'b. 30 cm 2', 'c. 76 cm 2', 'd. 68 cm 2', 'e. 46 cm 2']", "neg": "Problem: the length of a rectangle is 3 times its width. if the width of the rectangle is 4 inches, what is the rectangle ' s area, in square inches ?\nOptions: a. 30 square inches, b. 75 square inches, c. 68 square inches, d. 48 square inches, e. 92 square inches", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}580{"query": "Problem: a, b and c started a business with capitals of rs. 8000, rs. 10000 and rs. 12000 respectively. at the end of the year, the profit share of b is rs. 2500. the difference between the profit shares of a and c is ?\nOptions: a. 621, b. 276, c. 236, d. 1000, e. 211", "pos": "Problem: a starts business with rs. 3500 and after 8 months, b joins with a as his partner. after a year, the profit is divided in the ratio 2: 3. what is b â € ™ s contribution in the capital ?\nOptions: a. 24887, b. 20778, c. 23788, d. 15750, e. 2811", "neg": "Problem: a, b and c started a business by investing rs. 800 / -, rs. 1000 / - and rs. 1200 / - respectively for two years. total profit is rs. 1000 / -. find the c ' s share ?\nOptions: a. rs. 600, b. rs. 500, c. rs. 400, d. rs. 800, e. rs. 900", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}581{"query": "Problem: a truck drives 80 miles on local roads at 30 mph, and 50 miles on the highway at 60 mph, the truck also take a hour lunch break. what is the average speed of the entire trip ?\nOptions: a. 30 mph, b. 29 mph, c. 28 mph, d. 31 mph, e. 23 mph", "pos": "Problem: the speed of a car is 60 km in the first hour and 30 km in the second hour. what is the average speed of the car ?\nOptions: a. 45 kmph, b. 65 kmph, c. 75 kmph, d. 85 kmph, e. 90 kmph", "neg": "Problem: if a car went the first third of the distance at 80 kmh, the second third at 30 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip ?\nOptions: a. 36 kmh, b. 40 kmh, c. 42 kmh, d. 45 kmh, e. 50 kmh", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}582{"query": "Problem: carrey rented a car for rs. 20 plus rs. 0.25 per kilometer driven. samuel rented a car for rs. 24 plus rs. 0.16 per kilometer driven. if each drove d km. and each was charged exactly the same amount for the rental, then d equals ?\nOptions: a. 44.4, b. 44.8, c. 1, d. 19, e. 44.11", "pos": "Problem: a metered rikshaw charges rs 13.50 for the first 1 km and 2.50 per 1 / 3 km there after. what would the charge if this rikshaw is hired for 13 kms ? in approx ? ?\nOptions: a. 103.5 rs, b. 104.5 rs, c. 105.5 rs, d. 106.5 rs, e. 107.5 rs", "neg": "Problem: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile. annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile. if each was charged exactly the same amount, and annie ' s ride was 26 miles, how many miles was mike ' s ride ?\nOptions: a. 20, b. 30, c. 36, d. 46, e. 54", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}583{"query": "Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 24 ?\nOptions: a. 44, b. 46, c. 48, d. 50, e. 52", "pos": "Problem: the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ). what is the sum t of all the digits of the integers from 0 to 99 inclusive ?\nOptions: a. 450, b. 810, c. 900, d. 1000, e. 1100", "neg": "Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 25 ?\nOptions: a. 45, b. 49, c. 53, d. 57, e. 61", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}584{"query": "Problem: the speed of the boat in still water in 12 kmph. it can travel downstream through 48 kms in 3 hrs. in what time would it cover the same distance upstream ?\nOptions: a. 8 hours, b. 6 hours, c. 4 hours, d. 5 hours, e. 6 hours", "pos": "Problem: the speed of the boat in still water in 12 kmph. it can travel downstream through 54 kms in 3 hrs. in what time would it cover the same distance upstream ?\nOptions: a. 8 hours, b. 6 hours, c. 4 hours, d. 5 hours, e. 9 hours", "neg": "Problem: a boat can travel with a speed of 22 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 108 km downstream\nOptions: a. 5 hours, b. 4 hours, c. 3 hours, d. 2 hours, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}585{"query": "Problem: on a sum of money, the simple interest for 2 years is rs. 326, while the compound interest is rs. 340, the rate of interest being the same in both the cases. the rate of interest is\nOptions: a. 15 %, b. 14.25 %, c. 8.58 %, d. 10.5 %, e. 11.5 %", "pos": "Problem: on a sum of money, the simple interest for 2 years is rs. 327, while the compound interest is rs. 340, the rate of interest being the same in both the cases. the rate of interest is\nOptions: a. 15 %, b. 14.25 %, c. 7.95 %, d. 10.5 %, e. 11.5 %", "neg": "Problem: a sum of money at simple interest amounts to rs. 815 in 2 years and to rs. 854 in 4 years. the sum is :\nOptions: a. s. 650, b. s. 690, c. s. 698, d. s. 700, e. s. 737", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}586{"query": "Problem: in a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. each successively numbered row contains 3 more cans than the row immediately above it. if there are fewer than 120 cans in the entire display, how many cans are in the seventh row ?\nOptions: a. 13, b. 15, c. 17, d. 19, e. 21", "pos": "Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. if the measurement of each soap box is 7 inches by 6 inches by 10 inches, then what is the maximum number of soap boxes that can be placed in each carton ?\nOptions: a. 210, b. 252, c. 280, d. 150, e. 420", "neg": "Problem: how many 3 digit numbers n are divisible by 78 or 91 ?\nOptions: a. 17, b. 19, c. 20, d. 21, e. 22", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}587{"query": "Problem: the length of a rectangle is 3 times its width. if the width of the rectangle is 4 inches, what is the rectangle ' s area, in square inches ?\nOptions: a. 30 square inches, b. 75 square inches, c. 68 square inches, d. 48 square inches, e. 92 square inches", "pos": "Problem: if the dimensions of a certain rectangular box are 5 inches by 2 inches by 3 inches, then the face of greatest area is of what area ?\nOptions: ['a. 225 square inches', 'b. 45 square inches', 'c. 25 square inches', 'd. 15 square inches', 'e. 10 square inches']", "neg": "Problem: the length of a rectangle is 3 times its width. if the width of the rectangle is 6 inches, what is the rectangle ' s area, in square inches ?\nOptions: a. 30 square inches, b. 108 square inches, c. 68 square inches, d. 89 square inches, e. 92 square inches", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}588{"query": "Problem: the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.7 years. the ration of the number of boys to the number of girls in the class is ?\nOptions: a. 1: 6, b. 2: 3, c. 2: 5, d. 2: 1, e. 2: 4", "pos": "Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years, the age of the 15 th student is\nOptions: a. 17, b. 12, c. 13, d. 14, e. 15", "neg": "Problem: the average age of students of a class is 15.8 years. the average age of boys in the class is 16.5 years and that of the girls is 15.4 years. the ration of the number of boys to the number of girls in the class is :\nOptions: a. 2: 5, b. 2: 3, c. 2: 4, d. 2: 1, e. 4: 7", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}589{"query": "Problem: a man walking at a rate of 5 km / hr crosses a bridge in 15 minutes. the length of the bridge is ?\nOptions: a. 1250 m, b. 1310 m, c. 1500 m, d. 1000 m, e. 1195 m", "pos": "Problem: a train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 1.0 km long ?\nOptions: a. 2.5, b. 3, c. 5, d. 7, e. 9", "neg": "Problem: a man walking at a rate of 10 km / hr crosses a bridge in 24 minutes. the length of the bridge is ?\nOptions: a. 1521, b. 1492, c. 1667, d. 4000, e. 1112", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}590{"query": "Problem: a train traveling at 108 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. what is the length of the platform in meters ?\nOptions: a. 240 meters, b. 360 meters, c. 420 meters, d. 600 meters, e. can not be determined", "pos": "Problem: a train passes a station platform in 36 sec and a man standing on the platform in 20 sec. if the speed of the train is 54 km / hr. what is the length of the platform ?\nOptions: a. 120 m, b. 240 m, c. 300 m, d. 500 m, e. 550 m", "neg": "Problem: a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds. what is the length of the platform in meters ?\nOptions: a. 240 meters, b. 360 meters, c. 300 meters, d. 600 meters, e. can not be determined", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}591{"query": "Problem: the ratio of investments of two partners p and q is 7: 5 and the ratio of their profits is 7: 11. if p invested the money for 5 months, find for how much time did q invest the money ?\nOptions: a. 19, b. 17, c. 13, d. 11, e. 12", "pos": "Problem: a and b invests rs. 5000 and rs. 6000 in a business. after 6 months, a withdraws two - fifth of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year ?\nOptions: a. 3: 5, b. 7: 8, c. 5: 6, d. 3: 4, e. 7: 9", "neg": "Problem: a starts a business with $ 3500. after 5 months, b joins with a as his partner. after a year, the profit is divided in the ratio 2: 3. b ' s contribution in the capital is\nOptions: a. 7000, b. 9000, c. 8000, d. 9900, e. 7900", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}592{"query": "Problem: a fair price shopkeeper takes 10 % profit on his goods. he lost 30 % goods during theft. his loss percent is :\nOptions: a. 23 %, b. 42 %, c. 32 %, d. 12 %, e. 22 %", "pos": "Problem: a merchant marks his goods up by 30 % and then offers a discount of 10 % on the marked price. what % profit does the merchant make after the discount ?\nOptions: a. 17 %, b. 25 %, c. 69 %, d. 31 %, e. 19 %", "neg": "Problem: a fair price shopkeeper takes 10 % profit on his goods. he lost 60 % goods during theft. his loss percent is :\nOptions: a. 72 %, b. 42 %, c. 56 %, d. 12 %, e. 22 %", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}593{"query": "Problem: some people are standing square. from them 32 are removed and then form a small square and then 8 more removed. now we can not form the square. so how many people are there at the beginning ?\nOptions: a. 31, b. 32, c. 33, d. 34, e. ca n ' t be determined", "pos": "Problem: 2 men and 4 women are lined up in a row. what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )\nOptions: a. 12, b. 15, c. 18, d. 21, e. 48", "neg": "Problem: 4 men and 3 women are lined up in a row. what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )\nOptions: a. 12, b. 144, c. 18, d. 21, e. 24", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}594{"query": "Problem: how many seconds will a 500 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?\nOptions: a. 22, b. 30, c. 88, d. 26, e. 12", "pos": "Problem: how many seconds will a 600 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?\nOptions: a. 25, b. 36, c. 40, d. 45, e. 50", "neg": "Problem: how many seconds will a 550 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?\nOptions: a. 12 sec, b. 30 sec, c. 33 sec, d. 16 sec, e. 18 sec", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}595{"query": "Problem: the ages of 2 persons differ by 32 years. if 12 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.\nOptions: a. 30, b. 48.5, c. 50.4, d. 62.6, e. 47.9", "pos": "Problem: ages of two persons differ by 20 years. if 6 year ago, the elder one be 3 times as old the younger one, find their present age\nOptions: a. 12,28, b. 14,30, c. 16,36, d. 18,34, e. 19,34", "neg": "Problem: the ages of two person differ by 12 years. if 5 years ago, the elder one be 5 times as old as the younger one, their present ages ( in years ) are respectively\nOptions: a. 30, 10, b. 25, 5, c. 29, 9, d. 50, 30, e. 20, 8", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}596{"query": "Problem: on a certain date, pat invested $ 8,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 32,000, in how many years total will the total value of the investment plus interest increase to $ 64,000 ?\nOptions: a. 15, b. 16, c. 18, d. 20, e. 24", "pos": "Problem: on a certain date, pat invested $ 5,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 20,000, in how many years total will the total value of the investment plus interest increase to $ 40,000 ?\nOptions: a. 15, b. 16, c. 18, d. 20, e. 24", "neg": "Problem: on a certain date, pat invested $ 10,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 12 years will be $ 40,000, in how many years, the total value of the investment plus interest will increase to $ 160,000 ?\nOptions: a. 15, b. 16, c. 18, d. 20, e. 24", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}597{"query": "Problem: the average age of 10 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. the average age of the two new men is\nOptions: a. 22, b. 30, c. 99, d. 38, e. 32", "pos": "Problem: the population of a town increased from 1, 75,000 to 2, 97,500 in a decade. the average percent increase of population per year is\nOptions: a. 4.37 %, b. 5 %, c. 6 %, d. 8.75 %, e. 7 %", "neg": "Problem: he average of 10 numbers is 23. if each number is increased by 4, what will the new average be ?\nOptions: a. 26, b. 27, c. 88, d. 99, e. 12", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}598{"query": "Problem: if 64 ( 8 ^ x ) = 1 then x =\nOptions: a. 2, b. – 1, c. 0, d. 1, e. - 2", "pos": "Problem: for what value of x, is | x – 3 | + | x + 1 | + | x | = 8 ?\nOptions: a. 0, b. 3, c. - 3, d. 4, e. - 2", "neg": "Problem: if y is a positive number and 1 / 2 the square root of x is the cube root of y, then y =\nOptions: a. 64, b. 32, c. 16, d. 4, e. 1", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}599{"query": "Problem: a rectangle having length 105 cm and width 40 cm. if the length of the rectangle is increased by twenty five percent then how much percent the breadth should be decreased so as to maintain the same area.\nOptions: a. 25 %, b. 19.23 %, c. 40 %, d. 75 %, e. none of these", "pos": "Problem: the length of a rectangle is increased by 40 % while its width is halved. what is the % change in area ?\nOptions: ['a. 25 %', 'b. 30 %', 'c. 50 %', 'd. 65 %', 'e. 70 %']", "neg": "Problem: a rectangle having length 89 cm and width 34 cm. if the length of the rectangle is increased by eighty percent then how much percent the breadth should be decreased so as to maintain the same area.\nOptions: a. 25 %, b. 33.33 %, c. 47.33 %, d. 75 %, e. none of these", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}600{"query": "Problem: a tailor trims 6 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. if 80 square feet of cloth remain, what was the length of a side of the original piece of cloth ?\nOptions: a. 16, b. 18, c. 20, d. 24, e. 32", "pos": "Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 36 meters. what is the length of the yard if the area of the yard is 40 meters squared ?\nOptions: a. 12, b. 10, c. 8, d. 14, e. 16", "neg": "Problem: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. through how many of the squares does a diagonal of the rectangle pass ?\nOptions: ['a. 6', 'b. 8', 'c. 10', 'd. 12', 'e. 16']", "instruction": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid."}601