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Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m? Option A: Rs. 3642.40 Option B: Rs. 3868.80 Option C: Rs. 4216.20 Option D: Rs. 4082.40 Option E: None of these Output:
[ "Option D" ]
task750-b4f3ee8a97e04f99bb6f86c76a82ce38
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The total cost of 100 paper plates and 200 paper cups is $8 At the same rates what is the total cost of 20 of the plates and 40 of the cups? Option A: $.90 Option B: $1.00 Option C: $1.20 Option D: $1.50 Option E: $1.60 Output:
[ "Option E" ]
task750-bc0d6bd9a9844ae0badd8166e1343537
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: 2 + 2^2 + 2^3 + ... + 2^8 = ? Option A: 510 Option B: 310 Option C: 210 Option D: 410 Option E: None of them Output:
[ "Option A" ]
task750-4192a94e505f4512b8c200be0ee9604d
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The "factor count" of an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest? Option A: 60 Option B: 61 Option C: 62 Option D: 63 Option E: 64 Output:
[ "Option A" ]
task750-41ca5806de3f4ec1b8777fd49d8006be
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A sandwich of 6 ingredients is made from 4 types of meat and 8 types of cheese. The sandwich must have at least 1 type of meat and at least 2 types of cheese. How many ways can this plate be made? Option A: 896 Option B: 196 Option C: 890 Option D: 300 Option E: 292 Output:
[ "Option A" ]
task750-48be1e20f00945bbbd6eb8eb4b97ada7
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A can do a piece of work in 7 days and B can do it in 6 days how long will they both work together to complete the work? Option A: 6/11 Option B: 8/13 Option C: 3/13 Option D: 9/11 Option E: 10/13 Output:
[ "Option C" ]
task750-306b01fd91554cf59e2dd38009304bad
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A tank can supply water to a village for 100 days. If a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 75 days only. For how many days will the supply last if the leak drains out 20 liters per day? Option A: 50 Option B: 60 Option C: 65 Option D: 70 Option E: 72 Output:
[ "Option B" ]
task750-1439cea9425948a1b623a84855c1e621
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A train covers a certain distance at a speed of 340kmph in 4 hours. To cover the same distance in 2 3/4 hours, it must travel at a speed of Option A: 495km/hr Option B: 420km/hr Option C: 450km/hr Option D: 550km/hr Option E: 650km/hr Output:
[ "Option A" ]
task750-5d0c8dbb356f43218854ab57164f943f
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: f1(x)f1(x) = 2x - 1 and fn(x)=f1(fn−1(x))fn(x)=f1(fn−1(x)) for n ≥≥ 2. Find f5(2) Option A: 7 Option B: 6 Option C: 78 Option D: 9 Option E: 1 Output:
[ "Option A" ]
task750-100eebaeafb64ed28bc4577ecb271de2
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If a positive integer n is divisible by both 2 and 7, then n must also be divisible by which of the following? I. 14 II. 9 III. 42 Option A: None Option B: I only Option C: II only Option D: I and II Option E: II and III Output:
[ "Option B" ]
task750-35261fdea3884abc8dd0d293dc4b25b6
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Pipe A can fill a tank in 8 hours, pipe B in 4 hours and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled? Option A: 1.9 hour Option B: 2.1 hour Option C: 4.7 hour Option D: 2.4 hour Option E: 3.2 hour Output:
[ "Option D" ]
task750-6071a46927c64fc08e8fc0d3dcdc20a7
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A wheel that has 6 cogs is meshed with a larger wheel of 7 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is: Option A: 9 Option B: 10 Option C: 6 Option D: 18 Option E: 7 Output:
[ "Option D" ]
task750-ff29fd015e864b5c84217ab87b672259
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is: Option A: 12 Option B: 66 Option C: 73 Option D: 72 Option E: 8 Output:
[ "Option A" ]
task750-8993975dc77146f7935535d3f7cbff41
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: An elementary school houses primarily kindergartners, first graders, second graders, and third graders. If an assembly included 30 kindergartners, 20 first graders, and 80 other children, and the ratio of first graders to third graders is tripled, what is the ratio of the first graders to the rest of the children? Option A: 40: 20 Option B: 42: 21 Option C: 50: 100 Option D: 15: 25 Option E: It cannot be determined by the information given. Output:
[ "Option E" ]
task750-1f8095cd28764338bddd5f83e5bb4553
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If x and y are negative integers, which of the following statements must be true? I. (-x)^y is positive. II. (-x)^(-y) is positive. III. x^(-y) is positive. Option A: None Option B: II only Option C: I and II Option D: I and III Option E: I, II and III Output:
[ "Option C" ]
task750-caa89929889f4ffab7cb9a0d4deae634
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A construction company wants to number new houses using digit plates only. If the company puts an order for 312 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1). Option A: 140 Option B: 150 Option C: 160 Option D: 170 Option E: 180 Output:
[ "Option A" ]
task750-a9401f7b11f348ac8ca8c07120591b9d
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: What is the Mode of the following data set R- {1,2,7,9,6,6,7,7} Option A: 1 Option B: 2 Option C: 7 Option D: 6 Option E: 9 Output:
[ "Option C" ]
task750-360e75f15d7747a988ba19b203f9a66f
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: How many of the positive factors of 20 are not factors of 24 Option A: 2 Option B: 3 Option C: 4 Option D: 1 Option E: 5 Output:
[ "Option B" ]
task750-60326c0c810b4e1cb1ebf1e83a24d8c6
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: What is the remainder when 7^74 - 5^74 is divided by 8? Option A: 0 Option B: 2 Option C: 0 Option D: 3 Option E: None of these Output:
[ "Option C" ]
task750-7c276e26ba204c5d9715d56d0563718d
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 60 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project? Option A: 480 Option B: 160 Option C: 320 Option D: 192 Option E: 240 Output:
[ "Option E" ]
task750-929c819c3cb9423cacfe28763801806f
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Griffin has a bag of marbles that contains 7 black marbles and 5 red marbles. If he removes 3 marbles at random without replacing any of the marbles, what is the probability that all 3 marbles selected will be black? Option A: 4/15 Option B: 5/22 Option C: 6/35 Option D: 7/44 Option E: 8/55 Output:
[ "Option D" ]
task750-212bd4896aba4e33bf5f981a37e26147
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: When members of a certain club elected a chairman, each member voted for one of the three candidates. If candidate 1 received three times as many votes as the other two candidates together and candidate 2 received nine more votes than candidate 3, which of the following can be the number of members in the club? Option A: 24 Option B: 30 Option C: 32 Option D: 36 Option E: 40 Output:
[ "Option D" ]
task750-ea3602844b26410c8ffd5c6674b41015
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A certain essay consists of 13 paragraphs. Each paragraph contains at least 120 words but not more than 125 words. Which of the following could be the total number of words in the essay? Option A: 1440 Option B: 1540 Option C: 1610 Option D: 1740 Option E: 1840 Output:
[ "Option C" ]
task750-1ce4d8a616f74a2c9eda95b0702d75e6
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The difference between simple interest and compound interest on Rs.1200 for one year at 10% per annum reckoned half yearly is Option A: Rs.2.50 Option B: Rs.3 Option C: Rs.4 Option D: Rs.3.75 Option E: None Output:
[ "Option B" ]
task750-b4f641557a744cafa58b640023e58beb
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 85 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science? Option A: 81 Option B: 159 Option C: 166 Option D: 285 Option E: 324 Output:
[ "Option E" ]
task750-a41dc9766bcf49438917acdc06601317
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station? Option A: 288 Option B: 277 Option C: 786 Option D: 791 Option E: 380 Output:
[ "Option E" ]
task750-e333c22645f5412cbcd630d85bbfaeea
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Liam is pulled over for speeding just as he is arriving at work.He explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. The officer explains that if Liam had driven 5mph slower for his whole commute, he would have arrived at work exactly on time. If Liam's commute is 20 miles long,how fast was he actually driving?(Assume that Liam drove at a constant speed for the duration of his commute.) Option A: 40 mph Option B: 45 mph Option C: 48 mph Option D: 52 mph Option E: 60 mph Output:
[ "Option A" ]
task750-e5c443bf234a4325bb5eb58b7df184a4
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A sum of $500 amounts to 600 in 2 years at simple interest. If the interest rate is increased by 10% it would amount to how much ? Option A: $500 Option B: $700 Option C: $800 Option D: $600 Option E: $300 Output:
[ "Option B" ]
task750-b56aca974eac49a1bd22521481d644a6
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned. Option A: 19828.83 Option B: 19828.8 Option C: 19828.82 Option D: 19828.89 Option E: 19828.81 Output:
[ "Option B" ]
task750-028c241cdb3d4025b87bb716d67f79b4
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The perimeters of two squares are 44 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares . Option A: 22 cm Option B: 24 cm Option C: 26 cm Option D: 30 cm Option E: 29 cm Output:
[ "Option D" ]
task750-f97d102828b34990907c2214abb283be
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C? Option A: 145m Option B: 829m Option C: 822m Option D: 929m Option E: 132mj Output:
[ "Option A" ]
task750-57663517e24b47cc916d0b1787bd3958
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Chang Li has pet cockroaches that multiply at the same rate every week. The first week he had 5, the next week he had 10, the second week he had 20, and the fourth week he had 80. How many did he have on week 3? Option A: 30 Option B: 25 Option C: 40 Option D: 60 Option E: 50 Output:
[ "Option C" ]
task750-6fa01c26b7c248309b506ac1cba6ef14
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture Option A: 15 litres Option B: 10 litres Option C: 30 litres Option D: 22 litres Option E: 8 litres Output:
[ "Option B" ]
task750-1da3ccf3f6fa47468f72c2140e84fa7a
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before? Option A: 30 Option B: 33 1/3 Option C: 35 Option D: 25 Option E: 20 Output:
[ "Option B" ]
task750-1277ae9b29274a079de4888e507b3c36
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If 25 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect? Option A: 2300 Option B: 600 Option C: 250 Option D: 300 Option E: none of these Output:
[ "Option D" ]
task750-ca255c5b3a554101944642c41bade2b5
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used? Option A: 5 Option B: 4 Option C: 6 Option D: 7 Option E: 9 Output:
[ "Option D" ]
task750-3886931ca5a243c0a238ca5dcb8e5c77
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number W of races we need to conduct to get the top 3 fastest horses? Option A: 5 Option B: 7 Option C: 8 Option D: 10 Option E: 11 Output:
[ "Option B" ]
task750-5cd4abed41114a588818c86e5b1845e8
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: In Net's hair salon 45% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures? Option A: 5% Option B: 9% Option C: 12% Option D: 15% Option E: 21% Output:
[ "Option C" ]
task750-503fc629d0934fdbbd480b0560177d3b
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: What is the measure of the radius of the circle inscribed in a triangle whose sides measure 8, 15 and 27 units? Option A: 8.5 units Option B: 6 units Option C: 3 units Option D: 5 units Option E: 2 units Output:
[ "Option E" ]
task750-25fc226240e94aea897de2ae408754f9
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 48 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled? Option A: 6 Option B: 9 Option C: 12 Option D: 27 Option E: 48 Output:
[ "Option C" ]
task750-9175e330f0c14821a4263ae87d3d031b
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y? Option A: 2450 Option B: 2560 Option C: 2650 Option D: 3500 Option E: 5184 Output:
[ "Option E" ]
task750-1d0d33e6c2a14e948b11b12296f2f61b
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If 8 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time? Option A: 3:2 Option B: 2:1 Option C: 3:3 Option D: 1:2 Option E: 6:1 Output:
[ "Option D" ]
task750-2f8084a3c9a440628dd79f81f978d853
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A certain class of students is being divided into teams. The class can either be divided into 12 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class? Option A: 24 Option B: 36 Option C: 48 Option D: 60 Option E: 72 Output:
[ "Option A" ]
task750-49cb982cb487468cac3cbc17e0fe9d5f
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Find the missing figures : ?% of 50 = 2.125 Option A: 8.55 Option B: 6.55 Option C: 8.75 Option D: 7.75 Option E: 4.25 Output:
[ "Option E" ]
task750-b07480f56bbc46d5bbca5eaaca459e69
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 4 hours. Working alone, the outlet pipe can empty out the tank in 8 hours. If it is desired that the tank should be filled, from empty, exactly 6 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ? Option A: 11:00am Option B: 10:30am Option C: 9:30am Option D: 10:00am Option E: 11:30am Output:
[ "Option E" ]
task750-de8fd7f4d2e141b8813ba3188aefbca4
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate J in miles per hour for the entire trip? Option A: 26.7 Option B: J=30.0 Option C: J=40.0 Option D: J=53.3 Option E: 60 Output:
[ "Option C" ]
task750-8a53bc13b38046c4aec1cf62497fcc86
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A certain sum of money at simple interest amounted Rs.780 in 5 years at 4% per annum, find the sum? Option A: 337 Option B: 268 Option C: 198 Option D: 650 Option E: 168 Output:
[ "Option D" ]
task750-f42d7d6d446146028e13f80cb36e9b81
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: In a soccer bet,we play 4 teams.first team odd 1.30,second 5.23,third 3.25,fourth 2.05.we place the bet with 5 euros. how much money we expect to win? Option A: 219.5 Option B: 226.49 Option C: 235.01 Option D: 266.74 Option E: 669 Output:
[ "Option B" ]
task750-bbff01c7a274485e81bd5059853215e1
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate? Option A: 12 1/2 Option B: 12 1/6 Option C: 12 1/9 Option D: 12 1/5 Option E: 12 1/1 Output:
[ "Option A" ]
task750-8489e621de874e2c982616110eece7ef
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: In a certain game, you perform three tasks. You flip a coin, and success would be heads. You roll a single dice, and success would be a point. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning? Option A: 11/16 Option B: 15/32 Option C: 23/48 Option D: 14/36 Option E: 17/56 Output:
[ "Option C" ]
task750-586ec9b2fba743cbafe83b308e9a623c
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The speed of a train is 72 kmph. What is the distance covered by it in 20 minutes? Option A: 20 kmph Option B: 28 kmph Option C: 25 kmph Option D: 22 kmph Option E: 24 kmph Output:
[ "Option E" ]
task750-97f6509d137940f5a93b0fde45528340
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A shopkeeper sold an article for 240 after giving 20% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’? Option A: 25% Option B: 50% Option C: 23% Option D: 28% Option E: None of these Output:
[ "Option B" ]
task750-c8363f9f2d254e8899daecd29199332f
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A train 165 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Option A: 5 Option B: 6 Option C: 7 Option D: 8 Option E: 9 Output:
[ "Option E" ]
task750-c9b2bc7c197c4d0689b6035e6dbce341
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $180, how many hours overtime did he work? Option A: 8 Option B: 5 Option C: 9 Option D: 6 Option E: 10 Output:
[ "Option E" ]
task750-5f3e5ee3a4154c49b2eb160349d13e12
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: How many integers from 0 to 53, inclusive, have a remainder of 1 when divided by 3 ? Option A: 15 Option B: 16 Option C: 17 Option D: 18 Option E: 19 Output:
[ "Option D" ]
task750-8ebd6a130c4a4684bb8894c85ebcee47
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The owner of an electronic store charges his customer 14% more than the cost price. If a customer paid Rs.1,65300 for an LED TV, then what was the original price of the TV? Option A: Rs.140400 Option B: Rs.150500 Option C: Rs.145000 Option D: Rs.135200 Option E: None of these Output:
[ "Option C" ]
task750-b55d92118fa24408a1e38377f9727cd4
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Let the number which when multiplied by 15 is increased by 280. Option A: 14 Option B: 20 Option C: 26 Option D: 28 Option E: 30 Output:
[ "Option B" ]
task750-27baf5f690404e00b1b3797bbec1ad99
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 14%? Option A: 34.375% Option B: 48% Option C: 50.5% Option D: 52% Option E: 56% Output:
[ "Option A" ]
task750-9c4694ccd72344988ff93211b7557b7a
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 56,000 after completion of one year. What will be Madhu's share of profit? Option A: Rs. 28,000 Option B: Rs. 24,000 Option C: Rs. 30,000 Option D: Rs. 36,000 Option E: None of these Output:
[ "Option A" ]
task750-e85c48ef263247deb716f73e8384b4de
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If p - q = 3 and p2+q2=29 , find the value of pq. Option A: 7 Option B: 8 Option C: 9 Option D: 10 Option E: 11 Output:
[ "Option D" ]
task750-c5550a88f58d45949a6df80f4acbc81f
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth? Option A: Rs.90 Option B: Rs.76 Option C: Rs.98 Option D: Rs.18 Option E: Rs.02 Output:
[ "Option C" ]
task750-efbbebfc87904ac98d6bc554b2a0e4ae
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If 1/a^2 + a^2 represents the diameter of circle O and 1/a + 2a = 3, which of the following best approximates the circumference of circle O? Option A: 28 Option B: 22 Option C: 20 Option D: 16 Option E: 12 Output:
[ "Option D" ]
task750-6eab5dfed5f445c58b5a4bb8f2f3f873
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The total number of digits used in numbering the pages of a book having 346 pages is Option A: 732 Option B: 990 Option C: 1098 Option D: 930 Option E: 1405 Output:
[ "Option D" ]
task750-b832e4ff0a0c406bb682148ae0553f8b
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If 23m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m? Option A: 2m −1 Option B: 4m Option C: 6m Option D: m/5 Option E: 8m Output:
[ "Option E" ]
task750-a3f501d76f0d481898107548918327f2
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Krishnakumar, Raghunandan, Chinnan and Aibak had an interesting discussion on the following: Find the range of real values of x not satisfying even one of the inequalities 6x - 8 > 40 and 9x - 19 > 80" Option A: x greater than 8 Option B: x lesser than or equal to 8 Option C: x lesser to 8 Option D: x greater than or equal to 8 Option E: None of these Output:
[ "Option C" ]
task750-14b2b737618543ad8f4cfe9ba33f0076
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: An empty fuel tank with a capacity of 212 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 30 gallons of ethanol, how many gallons of fuel A were added? Option A: 160 Option B: 98 Option C: 100 Option D: 80 Option E: 50 Output:
[ "Option B" ]
task750-b9da9a91dfde407080f62ed95e960a77
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: One half of the workers at the biscuit company is technician,quarter is clerk,one-fifth are administrative and the other 25 are supervisors. How many workers total are there in the biscuit company? Option A: 250 Option B: 366 Option C: 400 Option D: 500 Option E: 2500 Output:
[ "Option D" ]
task750-df3df8e45d6e4850814496fe6f951391
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Convert 300 miles into meters? Option A: 784596 Option B: 845796 Option C: 804670 Option D: 482802 Option E: 864520 Output:
[ "Option D" ]
task750-d7be7b78756b4c288a247031d74ede3b
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates Z apply to what fraction of a week? Option A: 1/2 Option B: 5/8 Option C: 9/14 Option D: 16/21 Option E: 9/10 Output:
[ "Option C" ]
task750-ba1c704c6b6840298a2df323d085d415
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Which of the following is closest to the difference between sum E of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit? Option A: 2.82 Option B: 2.72 Option C: 1.82 Option D: 1.72 Option E: 0.82 Output:
[ "Option D" ]
task750-eb81199b6c794feb9a0320949a426fa2
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: It takes John 15 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.? Option A: 8:50 a.m Option B: 8:00 a.m Option C: 7:50 a.m Option D: 6:50 a.m Option E: 9:50 a.m Output:
[ "Option B" ]
task750-a74bfff988754c43ae2acd4b66a0e2c4
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Jonathan can type a 50 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document? Option A: 5 minutes Option B: 10 minutes Option C: 15 minutes Option D: 18 minutes Option E: 20 minutes Output:
[ "Option B" ]
task750-0ae62025e1054bd2ad5067902edbe90c
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A train running at the speed of 60 km/hr crosses a pole in 21 seconds. What is the length of the train? Option A: 350 m Option B: 278 m Option C: 876 m Option D: 150 m Option E: 267 m Output:
[ "Option A" ]
task750-80464e1a2b724352b101a55249c549cc
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel? Option A: 54 Option B: 66 Option C: 80 Option D: 36 Option E: 96 Output:
[ "Option A" ]
task750-e271ecf5a7594b65b81104a2805af7e4
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 21 revolutions, what will be the number of revolutions made by the larger wheel? Option A: 15 Option B: 12 Option C: 21 Option D: 9 Option E: 13 Output:
[ "Option D" ]
task750-5228068c8b6a4caaad56d2bd484650da
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 170% of John's weight. Which of these 5 people weighs the least? Option A: John Option B: Susan Option C: Sam Option D: Mark Option E: Lynn Output:
[ "Option B" ]
task750-a6782cdc661c4f958512f0ed1b668ad5
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Farm Tax is levied on the 50% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. willam. Mr. willam paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is : Option A: 15% Option B: 25% Option C: 0.125% Option D: 0.2083% Option E: none Output:
[ "Option B" ]
task750-b935324e269d41c3881fc72c5f2edaf0
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A car gets 20 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 190 kilometers? Option A: 3.5 gallons Option B: 9.5 gallons Option C: 8.7 gallons Option D: 4.5 gallons Option E: 9.2 gallons Output:
[ "Option B" ]
task750-b8093039588f44d390b810085ad5e3be
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C? Option A: 3 : 5 : 2 Option B: 3 : 5 : 5 Option C: 6 : 10 : 5 Option D: 8 : 12 : 4 Option E: Data inadequate Output:
[ "Option C" ]
task750-b56df90992204625bbdf988eb7d72e1d
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The average age of three boys is 28 years and their ages are in the proportion 4 : 6 : 8. The age of the youngest boy is: Option A: 21 years Option B: 18 years Option C: 14 years Option D: 9 years Option E: None of these Output:
[ "Option C" ]
task750-99fb4121a91045a6b122bfb33fd682d7
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Jonah drove the first half of a 200-mile trip in x hours and the second half in y hours. Which of the following is equal to Jonah’s average speed, in miles per hour, for the entire trip? Option A: 100/(x + y Option B: 200/(x + y Option C: 25/x + 25/y Option D: 50/x + 50/y Option E: 100/x + 100/y Output:
[ "Option B" ]
task750-8a6e07d9dbf44e8ba11c7e00ab7f4d4c
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: There are 4 red shoes & 6 green shoes . If two of red shoes are drawn what is the probability of getting red shoes Option A: 1/13 Option B: 1/14 Option C: 1/2 Option D: 2/15 Option E: 2/16 Output:
[ "Option D" ]
task750-00b3ff565a004b64bc971f2d9db49c59
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: When the no.7y86038 is exactly divisible by 11, then the smallest whole no.in place of y? Option A: 3 Option B: 4 Option C: 6 Option D: 7 Option E: 9 Output:
[ "Option A" ]
task750-829ac4ab942848679cfe749e978dd24f
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest. Option A: 3052.89 Option B: 3052.86 Option C: 3092.8 Option D: 3052.8 Option E: 3052.81 Output:
[ "Option D" ]
task750-ab89f690eadb49e68352840bdbd173cc
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Kramer can pack 10 boxes of cigarettes per minute. If there are 5 boxes of cigarettes in one case, how many cases can Kramer pack in 2 hours? Option A: 100 Option B: 120 Option C: 240 Option D: 150 Option E: 200 Output:
[ "Option C" ]
task750-40012a8d5e574cd3accbaf8d06319f43
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If a, b and c are the sides of a triangle, and a2 + b2 + c2 = bc + ca + ab, then the triangle is Option A: equilateral Option B: isosceles Option C: right-angled Option D: obtuse-angled Option E: None of these Output:
[ "Option A" ]
task750-e604320811b440a8b11977987212315a
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: A wheel that has 2 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is: Option A: 49 Option B: 4 Option C: 12 Option D: 3 Option E: 27 Output:
[ "Option D" ]
task750-8b469a90aceb4ebe842b851f04ba5c37
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: 350 is increased by 50%. Find the final number. Option A: 725 Option B: 625 Option C: 225 Option D: 525 Option E: 425 Output:
[ "Option D" ]
task750-fd828926ff31450da2252cee1639b7a3
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: On dividing 21 by a number, the quotient is 10 and the remainder is 1. Find the divisor. Option A: 1 Option B: 2 Option C: 4 Option D: 6 Option E: 7 Output:
[ "Option B" ]
task750-7929ce1178674b0b80fc5465159bbe7a
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: There are 3 questions in a question paper. If the questions have 4,3 and 2 solutions respectively, find the total number of solutions Option A: 24 Option B: 25 Option C: 30 Option D: 40 Option E: 54 Output:
[ "Option A" ]
task750-9b93d8a5e1ad4795817a330e7b58fc6a
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: 15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days? Option A: 18 Option B: 86 Option C: 16 Option D: 10 Option E: 19 Output:
[ "Option B" ]
task750-4ee1178f32094610a77b91853351a526
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 1 ? Option A: 2/5 Option B: 2/7 Option C: 33/83 Option D: 99/250 Option E: 98/250 Output:
[ "Option E" ]
task750-29ba88cb05024997bb77e96b173b7eed
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If q and r are both odd numbers C , which of the following must also be odd? Option A: q – r Option B: (q + r Option C: q(q + r Option D: (qr Option E: q/r Output:
[ "Option D" ]
task750-830c655af56f4d45860dfc4427952009
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: If the true discount on a certain sum due 6 months hence at 15% is Rs.120. What is the banker's discount on the same sum for the same time and at the same rate? Option A: Rs. 119 Option B: Rs. 129 Option C: Rs. 131 Option D: Rs. 139 Option E: None Output:
[ "Option A" ]
task750-d25f60c157804fcfb6b10f25fe90e2d5
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: The first photo shoot takes 3 minutes long and then the following shoots are taken at a rate of 21 seconds/shoot as the model is already at the scene. What is the maximum number of photo shoots taken in 10 minutes ? Option A: 13 Option B: 14 Option C: 15 Option D: 16 Option E: 21 Output:
[ "Option E" ]
task750-85c30875572b47d0b0f06cc7d5c2c732
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: 360 metres long yard, 31 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees Option A: 10 Option B: 12 Option C: 14 Option D: 16 Option E: 17 Output:
[ "Option B" ]
task750-fb4064a82149443eadabbdf18fab1a02
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Balloons are bought at 12 for Rs.10/- and sold at 10 for Rs.12/-. Find the gain or loss percentage? Option A: 21% Loss Option B: 21% Gain Option C: 44 % Profit Option D: 44 % Loss Option E: 46 % Loss Output:
[ "Option C" ]
task750-d2f206be2ab549e7a4ecbd2ed45c95c0
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: 50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what Q percent of the apartments with windows have hardwood floors? Option A: 10 Option B: 16 2/3 Option C: 40 Option D: 50 Option E: 83 1/3 Output:
[ "Option E" ]
task750-5180304315a74a85a34efcee376ae319
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Out of 470 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ? Option A: 80 Option B: 150 Option C: 100 Option D: 180 Option E: 220 Output:
[ "Option A" ]
task750-7c3ada520ab34a3aa5268c058503f6e8
Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option. Positive Example 1 - Input: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? Option A:2/1223 Option B: 1/122 Option C: 1/221 Option D: 3/1253 Option E: 2/153 Output: Option C Positive Example 2 - Input: You toss a fair coin onces, what is the probability of heads? Option A: 1/2 Option B: 1/3 Option C: 1/4 Option D: 1 Option E: 0 Output: Option A Negative Example 1 - Input: 1 bottle costs 100 dollars , how much does 6 bottles cost? Option A: 100 Option B: 200 Option C: 600 Option D: 700 Option E: 500 Output: Option A Negative Example 2 - Input: If a day had 30 hours , then how many hours does a week have ? Option A: 400 Option B: 168 Option C: 180 Option D: 210 Option E: 30 Output: Option B Now complete the following example - Input: Question: Line k is in the rectangular coordinate system. If the b-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k? Option A: -3b + 2y = 6 Option B: 3b + 2y = -6 Option C: 3b - 2y = 6 Option D: 2b - 3y = 6 Option E: -2b - 3y = 6 Output:
[ "Option A" ]
task750-75893d720ef04e17b4a569ecb800c8fc