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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: A train has a length of 150 metres. It is passing a man who is moving at 22 km/hr in the same direction of the train, in 33 seconds. Find out the speed of the train. Option A: 182 km/hr Option B: 180 km/hr Option C: 152 km/hr Option D: 169 km/hr Option E: 190 km/hr Output:
[ "Option A" ]
task750-80863434e6c64e1d88931056c7c43e9d
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 employee’s annual salary was increased 30%. If her old annual salary equals $30,000 , what was the new salary? Option A: $28,000 Option B: $25,000 Option C: $20,000 Option D: $35,000 Option E: $39,000 Output:
[ "Option E" ]
task750-c730ee21952a41f69bed50a69ebc3980
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 population of a certain town increases by 50 percent every 50 years. If the population in 1950 was 810, in what year was the population 160? Option A: 1650 Option B: 1700 Option C: 1750 Option D: 1800 Option E: 1850 Output:
[ "Option C" ]
task750-43ad4653ebfb44a8a5ee57070f7d12da
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 alloy weighing 26 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold? Option A: 6 Option B: 9 Option C: 12 Option D: 34 Option E: 48 Output:
[ "Option D" ]
task750-6bcd741149d343368ef9d1df3209a49b
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 will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, x Option A: 2 Option B: 3 Option C: 4 Option D: 5 Option E: 6 Output:
[ "Option A" ]
task750-38ced8cbef814ea5839e55afbf5885d2
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 person takes 5hrs 45 min in walking to a place and riding back. He would have gained 6 hrs by riding both ways. The time he would take to walk both ways is? Option A: 5 hours 45 min Option B: 5 hours 55 min Option C: 6 hours 45 min Option D: 11 hours 45 min Option E: 12 hours Output:
[ "Option D" ]
task750-ea0af5ed430d41528980ef9b3eeddb97
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 is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. xy^2 is positive integer III. (y^2 - x) is positive integer Option A: I,II only Option B: I only Option C: II only Option D: III only Option E: none of these Output:
[ "Option D" ]
task750-d8803b5dae6246839a4ea7ef3f2b2e6c
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 was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work? Option A: 20 days. Option B: 23 days. Option C: 30 days. Option D: 92 days. Option E: 97 days. Output:
[ "Option C" ]
task750-7276212657b848fbbb43e6f2e210f16e
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 m and n are positive integers, and m=2n and k=m, then - Option A: m/2 is a factor of k. Option B: 2m is a factor of k. Option C: 3m is a factor of k/2. Option D: k is a factor of m. Option E: k is a factor of m/2. Output:
[ "Option A" ]
task750-d03242a038ad48c28f6ceb454d825206
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 a two digit number exceeds its one third by 8. What is the sum of the digits of the number? Option A: A Option B: B Option C: C Option D: D Option E: E Output:
[ "Option C" ]
task750-ec523e936c7e4fbe833989ab9e1e9095
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 pipes A and B can fill a tank in 4 and 12 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank? Option A: 12 Option B: 3 Option C: 6 Option D: 9 Option E: 10 Output:
[ "Option B" ]
task750-874756b4f05643c6b6a5b102ba11a51a
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 numbers from 10 to 50 are exactly divisible by 3? Option A: 13 Option B: 15 Option C: 16 Option D: 17 Option E: 18 Output:
[ "Option A" ]
task750-53529399ebc64e2ba4df036b5adcdc05
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: x and y are integers. x + y < 11 and x > 6. What is the smallest possible value of x - y ? Option A: 1 Option B: 2 Option C: 4 Option D: -2 Option E: -4 Output:
[ "Option C" ]
task750-24bfb5cc808547c5952eef549ce2b1be
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| – 2|, for how many values of q is m = 6? Option A: 5 Option B: 4 Option C: 3 Option D: 2 Option E: 1 Output:
[ "Option D" ]
task750-f514f799d1e24d4d8f54260fc3eaad8d
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 store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? Option A: 30% Option B: 70% Option C: 100% Option D: 250% Option E: none Output:
[ "Option B" ]
task750-a9525e76ad5848d9b8e91f4a7a0fc052
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 missing numberin the Sequence 5 15 5 18 5 ? 14 20 5 Option A: 23 Option B: 76 Option C: 12 Option D: 55 Option E: 24 Output:
[ "Option E" ]
task750-6f182218edec41e5bea06ddf4fc80733
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: Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age Option A: 12,28 Option B: 14,30 Option C: 16,32 Option D: 18,34 Option E: 19,34 Output:
[ "Option B" ]
task750-fa43a4f928164ecf9281ab533c703c26
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: Jadeja rented a power tool from a rental shop. The rent for the tool was $13 for the first hour and $8 for each additional hour. If Jadeja paid a total of $133, excluding sales tax, to rent the tool, for how many hours did she rent it? Option A: 14 Option B: 19 Option C: 16 Option D: 13 Option E: 12 Output:
[ "Option C" ]
task750-a0900e59bc3541e8a1869d8b522e6b92
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 complement of a certain angle is six times the measure of that certain angle, then what is the measure of that certain angle? Option A: 45° Option B: 30° Option C: 12.9° Option D: 18° Option E: 15° Output:
[ "Option C" ]
task750-37ec62b9b44c4a0db3ede1416fe5e3ac
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 person purchased a TV set for Rs. 13000 and a DVD player for Rs. 5000. He sold both the items together for Rs. 21600. What percentage of profit did he make? Option A: 48% Option B: 70% Option C: 40% Option D: 45% Option E: 20% Output:
[ "Option E" ]
task750-27b055b15a34476781bcb0bc3f2db455
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 can row 3.6 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ? Option A: 1.9 Option B: 1.7 Option C: 1.2 Option D: 1.5 Option E: 1.1 Output:
[ "Option C" ]
task750-3d0e525d10c841c6896f58a626948f38
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 integers doesn't have a divisor greater than 1 that is the square of an integer? Option A: 12 Option B: 36 Option C: 100 Option D: 61 Option E: 72 Output:
[ "Option D" ]
task750-c4bf12ac1e9249df842e0c7da5b33486
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: 8 men can dig a pit in 20 days. If a man works half as much again a s a boy, then 4 men and 9 boys can dig a similar pit in: Option A: 10 days Option B: 12 days Option C: 15 days Option D: 16 days Option E: 20 days Output:
[ "Option D" ]
task750-a418013af8834b738b3fc1153d2c691d
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 ratio of 6/7 to the product 3*(7/3)? Option A: 3:7 Option B: 1:3 Option C: 3:21 Option D: 6:49 Option E: 3:49 Output:
[ "Option D" ]
task750-6791152d5b9c45588199b57c4ae51dab
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 is 360 meter long is running at a speed of 50 km/hour. In what time will it pass a bridge of 140 meter length? Option A: 87 Option B: 69 Option C: 36 Option D: 72 Option E: 21 Output:
[ "Option C" ]
task750-7f7831ed8e744e6b8817cc8205fdafb8
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 consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+3 ? Option A: 4 Option B: -4 Option C: -1 Option D: -2 Option E: -3 Output:
[ "Option A" ]
task750-04333d5ace9a4d1f853edb630580e337
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: Look at this series: 15, 15, 27, 27, 39, 39, 51, 51, 63, 63, ? ... What number should fill the blank? Option A: 51 Option B: 39 Option C: 75 Option D: 15 Option E: None Output:
[ "Option C" ]
task750-7b8d7dfb0adb47d9a4a92da8414849ec
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 unbiased coins are tossed. What is the probability of getting at most one head? Option A: 1/2 Option B: 1/4 Option C: 2/3 Option D: 3/4 Option E: 5/7 Output:
[ "Option D" ]
task750-516de54fdf204619827358d05403ae0b
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 equal glasses are respectively 1 3 and 1 4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. Find the ratio of milk and water in the tumbler Option A: 22 Option B: 88 Option C: 27 Option D: 19 Option E: 11 Output:
[ "Option A" ]
task750-07f7695e65314eec8c955db40bc15192
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 division sum, the quotient is 36, the divisor 85 and the remainder 26, find the dividend? Option A: 3066 Option B: 3586 Option C: 3086 Option D: 3968 Option E: 3286 Output:
[ "Option C" ]
task750-a26ddd28cb5f45a6967fa5dc3d8d985b
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: You collect pens. Suppose you start out with 5. Mike gives you another 20 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end? Option A: 39 Option B: 40 Option C: 31 Option D: 42 Option E: 43 Output:
[ "Option C" ]
task750-7b297ccf8ad348428f927d540889e3e0
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: Solve the given two equations and find the inequality of X and Y. (a) 3X^2+8X+4 = 0 and (b) 4Y^2-19Y+12= 0 Option A: If x>y Option B: If x>=y Option C: If x<y Option D: If x<=y Option E: x=y or relationship cannot be established Output:
[ "Option C" ]
task750-726aa461e37641eaa63b74cd1b3c572a
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: Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $4 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ? Option A: 8n + 2 Option B: 8n + 4 Option C: 9n + 2 Option D: 9n + 3 Option E: 9n + 4 Output:
[ "Option D" ]
task750-9a1f8be047664512826726af49cf0995
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 mean of 15 observations was 25. It was found later that an observation 40 was wrongly taken as 25. The corrected new mean is Option A: 20 Option B: 30 Option C: 15 Option D: 18 Option E: 26 Output:
[ "Option E" ]
task750-a090abfa5a8b45cfacbe8b7392fb7616
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: Rahul rented a power tool from a rental shop. The rent for the tool was $40 for the first hour and $20 for each additional hour. If Rahul paid a total of $160, excluding sales tax, to rent the tool, for how many hours did she rent it? Option A: 1 Option B: 4 Option C: 9 Option D: 7 Option E: 3 Output:
[ "Option D" ]
task750-720ab38e68bf472ab56ec93e4feb482f
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 three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 70, the three numbers in order are? Option A: 60, 120, and 30 Option B: 60, 30, and 120 Option C: 30, 60, and 120 Option D: 30, 120, and 60 Option E: 120, 30, and 60 Output:
[ "Option B" ]
task750-64752209937b48c7846877bd7fc9bf65
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 ratio of red, yellow, and green jelly beans in a jar is 1:3:4. If the number of jelly beans is increased by 60%, 20%, and 40% respectively, what will be the new ratio? Option A: 3:7:12 Option B: 4:9:14 Option C: 5:11:15 Option D: 6:14:17 Option E: 8:17:24 Output:
[ "Option B" ]
task750-3d162d240ade4070b78361acbca540d5
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 positive difference between Sam and Lucy’s ages is a, and the sum of their ages is z. If Lucy is older than Sam, then which of the following represents Lucy’s age? Option A: (z - a Option B: a - z/2 Option C: 2a + z Option D: (z + a Option E: (a - z Output:
[ "Option D" ]
task750-d5a9f0e2c3684d169ab795fab5471f71
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 how many ways can 2 men & 4 women can be made from a gang of 4 men & 7 women ? Option A: 100 Option B: 41 Option C: 45 Option D: 78 Option E: 89 Output:
[ "Option B" ]
task750-18e95b266d5345fa859d89eacbb91141
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 began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ? Option A: 6 months Option B: 3 months Option C: 2 months Option D: 8 months Option E: 9 months Output:
[ "Option D" ]
task750-c0debb1cbded4975b150b786e29bc4a3
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 group of 10 people consists of 3 married couples and 4 single men. A committee of 4 is to be formed from the 10 people. How many different committees can be formed if the committee can consist of at most 1 married couple? Option A: 105 Option B: 207 Option C: 210 Option D: 540 Option E: 5,040 Output:
[ "Option B" ]
task750-a5df800bf31c4ef7b3dbe73b32cea3d7
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 milk and water in the ratio 3:2. On adding 10 litters of water, the ratio of milk to water becomes 2:3. Total quantity of milk & water before adding water to it? Option A: 10 Option B: 30 Option C: 50 Option D: 20 Option E: 30 Output:
[ "Option D" ]
task750-940250cd0d05463fb04a97d4221c0f5e
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: Compute the value of a + b + c + d. Option A: 40 Option B: 50 Option C: 60 Option D: 70 Option E: 80 Output:
[ "Option D" ]
task750-57ceb6921b514cdd862dfc21d6d9a744
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 earning of a for the first 4days of a week is Rs18 and for the last four days is Rs20. If he earns Rs.20 on the fourth day, his average earning forthe whole week is? Option A: Rs. 10 Option B: Rs. 20 Option C: Rs. 30 Option D: Rs. 40 Option E: Rs. 50 Output:
[ "Option B" ]
task750-1d86dec09da14bdb83aeef0a8292d374
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 how many ways can the letters of the word REGULATION be arranged such that all the vowels always appear together? Option A: 10!*5! Option B: 10!*6! Option C: 10! Option D: 6!*5! Option E: 5!*5! Output:
[ "Option D" ]
task750-fffd8ffbe7c14e768ed41636173548f1
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 contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/10 that a person who randomly guesses the answer to each question will be a winner? Option A: 5 Option B: 10 Option C: 50 Option D: 100 Option E: 1000 Output:
[ "Option D" ]
task750-eaa2b02062c240d087c95e324107c7a1
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 deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.3146 in 3 years. Find the rate percent? Option A: 11 Option B: 30 Option C: 28 Option D: 24 Option E: 82 Output:
[ "Option B" ]
task750-3b2aee0006ea49e6afac4572cbcfe9f3
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 thief steals a car at 4.05 P.M. and drives it at 55 km/hr. The theft is discovered at 4.20 P.M. and the owner sets off in another car at 70 km/hr. when will he overtake the thief ? Option A: 4.50 P.M. Option B: 5 P.M. Option C: 5.10 P.M. Option D: 5.15 P.M. Option E: None of these Output:
[ "Option D" ]
task750-6c81192ac845498eac954e33c83b564a
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 bus has 40 seats and the passengers agree to share the total bus fare among themselves equally. If the total fair is 80.67 , find the total no of the seats unoccupied Option A: 34 Option B: 35 Option C: 36 Option D: 37 Option E: 38 Output:
[ "Option D" ]
task750-bf7f76a4a76442adbfe4added559a1a2
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 annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 15 percent, what was the annual interest rate last year? Option A: 14.04% Option B: 15.04% Option C: 13.64% Option D: 12.04% Option E: 10.04% Output:
[ "Option C" ]
task750-8bb4561e10204aba95a20c73f03ed2e8
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: Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes. How much time will it take Roy to consume all the five tablets? Option A: 60 min Option B: 50 min Option C: 70 min Option D: 65 min Option E: 80 min Output:
[ "Option A" ]
task750-d49fc815005d4cfdade93f1f825abca2
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, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.24000. A's share is? Option A: 2999 Option B: 8000 Option C: 6000 Option D: 2889 Option E: 6612 Output:
[ "Option B" ]
task750-e78ff2bd5682457d8ff0d86dd0e0446b
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 men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 2 km apart, if they walk in the same direction? Option A: 5hours Option B: 6hours Option C: 1hours Option D: 10hours Option E: 12hours Output:
[ "Option C" ]
task750-9a05944a6570477484378daf5dcc3a7a
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 two-third of a bucket is filled in 100 seconds then the time taken to fill the bucket completely will be . Option A: 90 seconds Option B: 150 seconds Option C: 60 seconds Option D: 100 seconds Option E: 120 seconds Output:
[ "Option B" ]
task750-8f5cbc31530d414d99799dda400a33a6
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: Percentage of profit earned by selling a book for $1680 is equal to the percentage loss incurred by selling the same book for $1120. What price should the book be sold to make 25% profit? Option A: $1250 Option B: $1050 Option C: $1550 Option D: $1750 Option E: $2050 Output:
[ "Option E" ]
task750-9f159ec00bd44167bd6afbb7757f8672
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 angled cone has its height 'h'. The cone is being cut parallel to its base at h/5 distance from its vertex. What will be the ratio of the cone and the cutting portion Option A: 1:124 Option B: 1:125 Option C: 1:25 Option D: 1:26 Option E: 1:24 Output:
[ "Option A" ]
task750-478e8f1a8fd0440cba990a2284e6250f
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 escalator moves towards the top level at the rate of 10 ft.sec and its length is 112 feet. If a person walks on the moving escalator at the rate of 4 feet per second towards the top level, how much time does he take to cover the entire length. Option A: 14 sec Option B: 10 sec Option C: 12 sec Option D: 8 sec Option E: 9 sec Output:
[ "Option D" ]
task750-ba93d41e6d404f099550685d64177d83
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 rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 11 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this collection (after the acquisition)? Option A: 64 Option B: 72 Option C: 80 Option D: 90 Option E: 99 Output:
[ "Option E" ]
task750-de03cf023ed1461a890f2c7986073c4a
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 Avery 3 hours to build a brick wall while Tom can do it in 2.5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own? Option A: 25 minutes. Option B: 30 minutes. Option C: 40 minutes. Option D: 55 minutes Option E: 1 hour and 20 minutes Output:
[ "Option C" ]
task750-458d883c0e0049f3bcd5bbf168053112
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 decimal fraction is 20 ml of a litre ? Option A: .2 Option B: 0.002 Option C: .05 Option D: .02 Option E: None of these Output:
[ "Option D" ]
task750-b83e5e88cb3c42f29e85372f2083c6d2
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: 78, 64, 48, 30 10, (...) Option A: -12 number Option B: -14 Option C: 2 Option D: 8 Option E: 6 Output:
[ "Option A" ]
task750-4f79be686c574793a062e7e74d7a5d8d
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 certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 50 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets? Option A: 30% Option B: 40% Option C: 50% Option D: 60% Option E: 65% Output:
[ "Option B" ]
task750-e496dd8aaf984d8cb99053867c515fdc
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 amount of Rs.20,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P? Option A: Rs. 5000 Option B: Rs. 4570 Option C: Rs. 2750 Option D: Rs. 2950 Option E: None of these Output:
[ "Option A" ]
task750-e378699daa0f4445beed2493ea7ff874
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: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 4:5, find his marks in Science? Option A: 10.9 Option B: 20.9 Option C: 30.9 Option D: 35 Option E: 45 Output:
[ "Option B" ]
task750-af2bbb0ef9de4e7da95e4eebcda45b4f
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 of first 10 odd numbers is? Option A: 11 Option B: average=10 Option C: 18 Option D: 12 Option E: 19 Output:
[ "Option B" ]
task750-e8a490f452b446eeace13c21a8c0686d
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 passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Option A: 123 Option B: 166 Option C: 240 Option D: 157 Option E: 198 Output:
[ "Option C" ]
task750-b065d1bac6704918b4f245d268bead8b
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 is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 880 cubic metres in 10 minutes. The inner radius of the pipe should be : Option A: √2 m Option B: 2 m Option C: 1⁄2 m Option D: 1⁄√2 m Option E: None of these Output:
[ "Option B" ]
task750-567b38ad891f41af9be243a44eeeb328
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 juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to p% of stall’s revenue and accounted for q% of sales of juice tetra packs. Which of the following expresses p in terms of q? Option A: 100q/(150 – q Option B: 200q/(250-q Option C: 200q/(300-q Option D: 250q/(400-q Option E: 300q/(500-q Output:
[ "Option C" ]
task750-3d28b5a99f3b41b18af23f16a873cfb4
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 how many ways R can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side? Option A: 1. 10!/(2! * 3! Option B: 2. 10!/(8! * 7! Option C: 3. 5!/(3! * 2! Option D: 4. (5! Option E: 5. 5!/(8! * 7! Output:
[ "Option D" ]
task750-9c9e0d302ecb40f5bcd1de814ea2f23b
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: Rectangular tile each of size 50cm by 40cm must be laid horizontally on a rectangular floor of size 120cm by 150cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is: Option A: 9 Option B: 15 Option C: 12 Option D: 11 Option E: 10 Output:
[ "Option A" ]
task750-413296968a11483aa66692083fd9a304
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 13 South American countries, Anny has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Anny choose from? Option A: 13.12.11.10.4.4. Option B: 13.12.11.10.4 Option C: 13.12.4.4. Option D: 13.12.4 Option E: 13.13.13.13 Output:
[ "Option C" ]
task750-068affd801244cdfad3d6a66a161db29
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: Exactly three sides of a certain 10-sided die are red. What is the probability that Kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll? Option A: 0.184 Option B: 0.16 Option C: 0.18 Option D: 0.147 Option E: 0.148 Output:
[ "Option D" ]
task750-83010b29ec4a4e9683751af9d2717fee
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 purchase price of an article is $48. In order to include 5% of cost for overhead and to provide $12 of net profit, the markup should be Option A: 15% Option B: 25% Option C: 30% Option D: 40% Option E: 45% Output:
[ "Option C" ]
task750-c9bd0993d9b341509a3caa5ac2c3cb80
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 passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 20 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Option A: 288 Option B: 492 Option C: 877 Option D: 278 Option E: 178 Output:
[ "Option B" ]
task750-3c8a17097c6640dab4e71f547380eead
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 10 days, B in 15 days. They work for 5 days. The rest of work finished by C in 2 days.If they get Rs 1500 for the whole work, the daily wages of B and C are? Option A: 225 Option B: 276 Option C: 126 Option D: 187 Option E: 1267 Output:
[ "Option A" ]
task750-22e53e8a855141d9b127334d933f9590
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 apartment, 30% of the people speak English, 20% speak Hindi and 15% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi? Option A: 1/13 Option B: 2/13 Option C: 5/20 Option D: 6/20 Option E: 7/20 Output:
[ "Option E" ]
task750-56f376898e504283aac70f6c97c0a88a
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 pipe can filled a tank in 40 minutes and another pipe can empty it in 1hour. If the tank is already half full and both the taps are opened together, then the tank is filled in how many minutes? Option A: 25min Option B: 20min Option C: 15min Option D: 10min Option E: 30min Output:
[ "Option A" ]
task750-81ffbbda824f41a2b5327e86d9eba8d2
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 y = 2 + 2K and y≠0y≠0, then 2/y + 1/y + 1/y + 1/y = ? Option A: 1/(8+8k Option B: 5/2(1+k Option C: 1/(8+k Option D: 4/(8+k Option E: 4/(1+k Output:
[ "Option B" ]
task750-f0ef389944e64dbf8693739d7ea43b4b
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: 2,400 has how many positive divisors? Option A: 20 Option B: 24 Option C: 32 Option D: 36 Option E: 40 Output:
[ "Option D" ]
task750-7a88d91d79704a5c97cc44e3289acf64
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: I bought two books; for Rs. 480. I sold one at a gain of 10% and other at a gain of 20% and then I found each book was sold at the same price. Find the cost of the book sold at a lesser gain ? Option A: A Option B: B Option C: C Option D: D Option E: E Output:
[ "Option D" ]
task750-dae73d5b927242129737622d9722ecc8
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 local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 600 students and the middle school enrolled 300 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s? Option A: r/3 Option B: r/2 Option C: 2r Option D: 3r Option E: r/9 Output:
[ "Option A" ]
task750-13a75fffa3954b7ca2b6537594db7169
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 little girl went to the farm to buy fruits. she bought a bag of apples and grabbed a bag of oranges which was 5 times as heavy as the apples. She brought home a total of 12 pounds of fruits. How many pounds was the oranges? Option A: 5 Option B: 7 Option C: 8 Option D: 10 Option E: 12 Output:
[ "Option D" ]
task750-49b8fed0faaa44e18b36e1d875b52b41
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 how many different number of ways 6 men and 4 women can sit on a shopa which can accommodate persons? Option A: 200 Option B: 210 Option C: 90 Option D: 250 Option E: 270 Output:
[ "Option C" ]
task750-be5e0dcf3fa849b89a775f5d3d62957f
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 working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in e hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of e? Option A: 3/4 Option B: 1[1/5] Option C: 1[2/5] Option D: 1[3/4] Option E: 2 Output:
[ "Option B" ]
task750-f87aefdd4dbf42a6ba145522aa6325f3
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 group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 13.69, the number of the member is the group is: Option A: 57 Option B: 67 Option C: 37 Option D: 87 Option E: 97 Output:
[ "Option C" ]
task750-dcbfcc04ca9346a1942f0ee5c90ec850
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: Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 6 times as heavy as water? Option A: 3:2 Option B: 1:4 Option C: 3:1 Option D: 5:2 Option E: 4:3 Output:
[ "Option B" ]
task750-d3ddec941f3d417ba273bef2d7619de4
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 woman can do a piece of work in 40 days. Man is 25% more efficient than Woman. In how many days a man can do the same piece of work? Option A: 32 days Option B: 36 days Option C: 38 days Option D: 40 days Option E: 53 days Output:
[ "Option A" ]
task750-4769cfb4ed5245b992dedfe50368bd0f
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 store reduced the price of all items in the store by 15% on the first day and by another 10% on the second day. The price of items on the second day was what percent of the price before the first reduction took place? Option A: 76.5 Option B: 80.9 Option C: 81.0 Option D: 81.1 Option E: 81.9 Output:
[ "Option A" ]
task750-d41da5599efe4b78bce403743aa4e914
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 sum of a set of 5 different positive prime numbers is 94, what is the difference between largest and smallest prime numbers between them? Option A: 53 Option B: 51 Option C: 47 Option D: 41 Option E: 31 Output:
[ "Option D" ]
task750-01d5e651c099496daf6d02a28a92369e
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 committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee? Option A: 150 Option B: 200 Option C: 250 Option D: 300 Option E: 350 Output:
[ "Option B" ]
task750-6613450f850746759bd55b96b0e5720b
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 travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P? Option A: 3 : 9 Option B: 3 : 7 Option C: 3 : 8 Option D: 3 : 4 Option E: 3 : 1 Output:
[ "Option D" ]
task750-7691645bee084b33bc5cba8bd0aa1672
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 there are 30 red and blue marbles in a jar, and the ratio of red to blue marbles is 2:3, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw? Option A: 1/25 Option B: 2/25 Option C: 3/25 Option D: 4/25 Option E: 21/25 Output:
[ "Option D" ]
task750-70fdf291aa58439cab6feb43f35a4b05
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 = 3 and a^2 + b^2 = 31, find the value of ab. Option A: 12 Option B: 15 Option C: 10 Option D: 11 Option E: 13 Output:
[ "Option D" ]
task750-64325db9489b48dda0dfe1ce7a3e474e
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 of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.7 the sixth number is? Option A: 11.4 Option B: 11.3 Option C: 13.3 Option D: 11.5 Option E: 11.1 Output:
[ "Option C" ]
task750-b197310c47214b34acd1f7a28393db5d
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 43^92 is divided by 5? Option A: 0 Option B: 1 Option C: 2 Option D: 3 Option E: 4 Output:
[ "Option B" ]
task750-24fbc024a4524a549107b82514d2e43d
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: 26 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres? Option A: 30 Option B: 39 Option C: 60 Option D: Data inadequate Option E: None of these Output:
[ "Option B" ]
task750-9849c6fbff3a405fbb09b47d0cac9ab7
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 long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 80 m in length? Option A: 15.8 sec Option B: 14.9 sec Option C: 12.4 sec Option D: 10.8 sec Option E: 11.8 sec Output:
[ "Option D" ]
task750-d8cbe987f0e84b96a74d13f609e16301
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 factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is? Option A: 32 Option B: 52 Option C: 62 Option D: 72 Option E: 35 Output:
[ "Option B" ]
task750-8f0c70ada40844529230b05bb6e86fca
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: For any non-zero a and b that satisfy |ab| = ab and |a| = -a, |b-5| + |ab+b| = Option A: ab-4 Option B: 2b-ab-4 Option C: ab+4 Option D: ab-2b+4 Option E: 4+2ab Output:
[ "Option E" ]
task750-8f5fc90b3a784f4cbb836823d18db26a
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 integers is a divisor of(15!+10)? Option A: 15 Option B: 4 Option C: 3 Option D: 10 Option E: 9 Output:
[ "Option D" ]
task750-0989e7e4a10d4dc0916ecb5b9b73f0dc

Dataset Card for Natural Instructions (https://github.com/allenai/natural-instructions) Task: task750_aqua_multiple_choice_answering

Additional Information

Citation Information

The following paper introduces the corpus in detail. If you use the corpus in published work, please cite it:

@misc{wang2022supernaturalinstructionsgeneralizationdeclarativeinstructions,
    title={Super-NaturalInstructions: Generalization via Declarative Instructions on 1600+ NLP Tasks}, 
    author={Yizhong Wang and Swaroop Mishra and Pegah Alipoormolabashi and Yeganeh Kordi and Amirreza Mirzaei and Anjana Arunkumar and Arjun Ashok and Arut Selvan Dhanasekaran and Atharva Naik and David Stap and Eshaan Pathak and Giannis Karamanolakis and Haizhi Gary Lai and Ishan Purohit and Ishani Mondal and Jacob Anderson and Kirby Kuznia and Krima Doshi and Maitreya Patel and Kuntal Kumar Pal and Mehrad Moradshahi and Mihir Parmar and Mirali Purohit and Neeraj Varshney and Phani Rohitha Kaza and Pulkit Verma and Ravsehaj Singh Puri and Rushang Karia and Shailaja Keyur Sampat and Savan Doshi and Siddhartha Mishra and Sujan Reddy and Sumanta Patro and Tanay Dixit and Xudong Shen and Chitta Baral and Yejin Choi and Noah A. Smith and Hannaneh Hajishirzi and Daniel Khashabi},
    year={2022},
    eprint={2204.07705},
    archivePrefix={arXiv},
    primaryClass={cs.CL},
    url={https://arxiv.org/abs/2204.07705}, 
}

More details can also be found in the following paper:

@misc{brüelgabrielsson2024compressserveservingthousands,
    title={Compress then Serve: Serving Thousands of LoRA Adapters with Little Overhead}, 
    author={Rickard Brüel-Gabrielsson and Jiacheng Zhu and Onkar Bhardwaj and Leshem Choshen and Kristjan Greenewald and Mikhail Yurochkin and Justin Solomon},
    year={2024},
    eprint={2407.00066},
    archivePrefix={arXiv},
    primaryClass={cs.DC},
    url={https://arxiv.org/abs/2407.00066}, 
}

Contact Information

For any comments or questions, please email Rickard Brüel Gabrielsson

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