inputs stringlengths 427 1.97k | targets stringclasses 30
values | _template_idx int64 0 9 | _task_source stringclasses 1
value | _task_name stringclasses 1
value | _template_type stringclasses 2
values |
|---|---|---|---|---|---|
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.
One example: 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
Solution is here: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this: Question: The average (arithmetic mean) of eight numbers is 44.1. If the sum of half of these numbers is 156.4, what is the average of the other half?
Option A: 12.8
Option B: 24.2
Option C: 49.1
Option D: 72.1
Option E: 96.8
Solution: | Option C | 6 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
--------
Question: Question: How many words can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS.
Option A: 2154
Option B: 2454.
Option C: 2254
Option D: 2354
Option E: 1245
Answer: Option B
Question: 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
Answer: Option C
Question: Question: A certain sum of money amounts to Rs 1008 in 2 years and to Rs 1164 in 3 years. Find the sum and the rate of interest.
Option A: 14%
Option B: 13%
Option C: 12%
Option D: 19%
Option E: None of these
Answer: | Option B
| 7 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Input: Consider Input: Question: If the average (arithmetic mean) of 18 consecutive odd integers is 414, then the least of these integers is
Option A: a
Option B: b
Option C: c
Option D: d
Option E: e
Output: Option A
Input: Consider Input: Question: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?
Option A: 23
Option B: 28
Option C: 25
Option D: 19
Option E: 11
Output: Option C
Input: Consider Input: Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Option A: 16%
Option B: 16.66%
Option C: 16.98%
Option D: 17.23%
Option E: 18.3%
| Output: Option B
| 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example: 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
Example solution: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: There are a total of 17 students in Mr. David's gym class. Over the course of a badminton unit, each of the 17 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
Option A: 138
Option B: 136
Option C: 190
Option D: 210
Option E: 153
| Solution: Option B | 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Question: The number of diagonals of a polygon of n sides is given by the formula z=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
Option A: 3
Option B: 5
Option C: 6
Option D: 7
Option E: 8
Option B
Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $2,000. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
Option A: $18,400
Option B: $19,500
Option C: $20,200
Option D: $20,700
Option E: $21,100
Option D
Question: It takes 1.5 hours for Tim to mow the lawn. Linda can mow the same lawn in 2 hours. How long will it take John and Linda, work together, to mow the lawn?
Option A: 51.1 minutes
Option B: 51.3 minutes
Option C: 51.5 minutes
Option D: 51.7 minutes
Option E: 51.9 minutes
| Option C
| 0 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Input: Consider Input: Question: A mall charges 50 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a Rahul parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay?
Option A: $25
Option B: $12.
Option C: $23.5
Option D: $24.5.
Option E: $25.5
Output: Option A
Input: Consider Input: Question: In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?
Option A: 2.5 sec
Option B: 2.9 sec
Option C: 3.5 sec
Option D: 7.5 sec
Option E: 5 sec
Output: Option E
Input: Consider Input: Question: A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed against the current will be
Option A: 11 kmph
Option B: 12 kmph
Option C: 14 kmph
Option D: 17 kmph
Option E: None of these
| Output: Option C
| 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
One example: 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
Solution is here: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this: Question: It takes 1.5 hours for Tim to mow the lawn. Linda can mow the same lawn in 2 hours. How long will it take John and Linda, work together, to mow the lawn?
Option A: 51.1 minutes
Option B: 51.3 minutes
Option C: 51.5 minutes
Option D: 51.7 minutes
Option E: 51.9 minutes
Solution: | Option C | 6 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
instruction:
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.
question:
Question: There are 9 executives, including the CEO and CFO, that are asked to form a small team of 5 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Option A: 85
Option B: 87
Option C: 89
Option D: 91
Option E: 93
answer:
Option D
question:
Question: During the break of a football match, the coach will make 3 substitutions. If the team consists of 14 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?
Option A: 21/55
Option B: 18/44
Option C: 21/99
Option D: 28/44
Option E: 36/55
answer:
Option C
question:
Question: Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 31 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
Option A: 2:5
Option B: 5:14
Option C: 3:5
Option D: 5:13
Option E: 14:5
answer:
| Option D
| 9 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Let me give you an example: 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
The answer to this example can be: Option C
Here is why: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
OK. solve this:
Question: The functions f and g are defined for all the positive integers n by the following rule: f(n) is the number of perfect squares less than n and g(n) is the number of primes numbers less than n. If f(x) + g(x) = 16, then x is in the range:
Option A: 30 < x < 36
Option B: 30 < x < 37
Option C: 31 < x < 37
Option D: 31 < x < 38
Option E: 32 < x < 38
Answer: | Option C | 8 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[EX Q]: Question: If 0.5 : x :: 5 : 8, then x is equal to:
Option A: A
Option B: B
Option C: C
Option D: D
Option E: E
[EX A]: Option E
[EX Q]: Question: If 5 ministers are to be seated at a round table conference, then how many different ways can they be seated?
Option A: 240
Option B: 60
Option C: 24
Option D: 720
Option E: 180
[EX A]: Option C
[EX Q]: Question: A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.5 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
Option A: a. 150
Option B: b. 300
Option C: c. 600
Option D: d. 1,200
Option E: e. 2,400
[EX A]: | Option B
| 6 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Detailed Instructions: 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.
See one example below:
Problem: 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
Solution: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Option A: 16%
Option B: 16.66%
Option C: 16.98%
Option D: 17.23%
Option E: 18.3%
Solution: | Option B | 4 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Question: In the class of 100 students, 50 speak Hindi and 70 speak English. What is the lowest possible number of students who
speak both the languages?
Option A: A
Option B: B
Option C: C
Option D: D
Option E: E
Option C
Question: On dividing a number by 7, we get 3 as quotient and 0 as remainder. On dividing the same number by 3, what will be the remainder?
Option A: 1
Option B: 2
Option C: 3
Option D: 0
Option E: 4
Option D
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 42 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Option A: 229
Option B: 288
Option C: 787.5
Option D: 888
Option E: 121
| Option C
| 0 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[Q]: Question: The radius of a cylinder is 8 m, height 14 m. The volume of the cylinder is:
Option A: 2816
Option B: 5500
Option C: 3300
Option D: 1100
Option E: 4400
[A]: Option A
[Q]: Question: Which of the following is NOT a factor of 10! ?
Option A: 1440
Option B: 625
Option C: 160
Option D: 80
Option E: 50
[A]: Option B
[Q]: Question: A company consists of 5 senior and 3 junior staff officers. If a committee is created with 3 senior and 1 junior staff officers, in how many ways can the committee be formed?
Option A: 12
Option B: 30
Option C: 45
Option D: 80
Option E: 200
[A]: | Option B
| 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example 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
Example output: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Q: Question: A company consists of 5 senior and 3 junior staff officers. If a committee is created with 3 senior and 1 junior staff officers, in how many ways can the committee be formed?
Option A: 12
Option B: 30
Option C: 45
Option D: 80
Option E: 200
A: | Option B | 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
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.
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
Solution: Option C
Why? Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
New input: Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Option A: 12
Option B: 15
Option C: 14
Option D: 18
Option E: 19
Solution: | Option C | 0 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Input: Consider Input: Question: The number of arrangements that can be made with the letters of the word COPY so that the vowels occupy the even places?
Option A: 6
Option B: 144
Option C: 777
Option D: 992
Option E: 221
Output: Option A
Input: Consider Input: Question: A certain car dealership offers its newest model in ten exterior and six interior colors. If the ten interior colors are identical to the ten exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?
Option A: 45
Option B: 81
Option C: 90
Option D: 10!/2!
Option E: 36
Output: Option E
Input: Consider Input: Question: 36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible?
Option A: 2
Option B: 4
Option C: 5
Option D: 6
Option E: 10
| Output: Option C
| 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example 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
Example output: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Q: Question: Find the remainder when 2^31 is divided by 5.
Option A: 3
Option B: 7
Option C: 1
Option D: 9
Option E: None of them
A: | Option A | 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
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
Solution: Option C
Reason: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this instance: Question: What is the greatest prime factor of 4^18 - 2^28?
Option A: 2
Option B: 3
Option C: 5
Option D: 7
Option E: 127
Student: | Option E | 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[Q]: Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Option A: Rs.900
Option B: Rs.800
Option C: Rs.500
Option D: Rs. 400
Option E: Rs.200
[A]: Option D
[Q]: Question: In a test, sixty percent students passed in Maths and 65% in History, 40% passed in both of these subjects. If 90 students failed in maths and history both, then what is the total number of students?
Option A: 600
Option B: 650
Option C: 700
Option D: 750
Option E: None of these
[A]: Option A
[Q]: Question: The cost of producing x tools by a company is given by
C(x) = 2500 x + 5500 (in $)
a) What is the cost of 100 tools?
Option A: 222500 $
Option B: 125800 $
Option C: 225900 $
Option D: 255500 $
Option E: 122500 $
[A]: | Option D
| 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Part 1. 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.
Part 2. Example
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
Answer: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Part 3. Exercise
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 34710
. What percentage of profit did he make?
Option A: 80%
Option B: 49%
Option C: 40%
Option D: 70%
Option E: 56%
Answer: | Option E | 7 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
--------
Question: Question: If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. Line L must passes through the first quadrant
2. Line L does pass the origin
3..The slope of L is negative
Option A: I only
Option B: II only
Option C: III only
Option D: I and II
Option E: II and III
Answer: Option C
Question: Question: Find the odd one out:
125, 106, 85, 76, 65, 58, 53
Option A: 33
Option B: 85
Option C: 26
Option D: 18
Option E: 222
Answer: Option B
Question: Question: Find the remainder when 2^31 is divided by 5.
Option A: 3
Option B: 7
Option C: 1
Option D: 9
Option E: None of them
Answer: | Option A
| 7 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Detailed Instructions: 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.
See one example below:
Problem: 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
Solution: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: 120 liters of a mixture contains milk and water in the ratio 4:2. If 10 liters of this mixture be replaced by 10 liters of milk, the ratio of milk to water in the new mixture would be?
Option A: 8:6
Option B: 9:3
Option C: 9:4
Option D: 9:6
Option E: 8:2
Solution: | Option C | 4 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Given the task definition, example input & output, solve the new input case.
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.
Example: 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
Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
New input case for you: Question: The difference of two numbers is 1565. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Option A: A
Option B: B
Option C: C
Option D: D
Option E: E
Output: | Option E | 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[Q]: Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Option A: 15 litres
Option B: 10 litres
Option C: 30 litres
Option D: 22 litres
Option E: 8 litres
[A]: Option B
[Q]: Question: If the number 5 * 2 is divisible by 6, then * = ?
Option A: 2
Option B: 5
Option C: 3
Option D: 1
Option E: 6
[A]: Option A
[Q]: Question: How many 1's are there preceded by 2 but not followed by 0?
5 9 3 2 1 7 4 2 6 9 7 4 2 1 3 2 8 7 0 1 3 8 3 2 5 6 7 4 3 9 5 8 2 2 1 0 7 4 6 3
Option A: 4
Option B: 2
Option C: 6
Option D: 8
Option E: 9
[A]: | Option B
| 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Q: Question: Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards.
What is the probability that first two cards are queens and the third card drawn is an ace?
Option A: 2
Option B: 2/5525
Option C: 2/5527
Option D: 3
Option E: None
A: Option B
****
Q: Question: How many seconds will a train 100 meters long take to cross a bridge 250 meters long if the speed of the train is 36 kmph?
Option A: 54 sec
Option B: 35 sec
Option C: 25 sec
Option D: 45 sec
Option E: 24 sec
A: Option B
****
Q: Question: If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?
Option A: 500
Option B: 1000
Option C: 1500
Option D: 2000
Option E: 3000
A: | Option B
****
| 4 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example Input: Question: Evaluate combination
100C98=100!/(98)!(2)!
Option A: 4950
Option B: 1510
Option C: 4170
Option D: 3170
Option E: None of these
Example Output: Option A
Example Input: Question: If 12 men do a work in 80 days, in how many days will 16 men do it?
Option A: 17 days
Option B: 19 days
Option C: 15 days
Option D: 60 days
Option E: 14 days
Example Output: Option D
Example Input: Question: In a certain village, 200 litres of water are required per household per month. At this rate, if there are 10 households in the village, how long (in months) will 2000 litres of water last?
Option A: 1
Option B: 20
Option C: 2
Option D: 200
Option E: 2.5
Example Output: | Option A
| 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[EX Q]: Question: If a college has 15 staff for every 700 students, then what is the number of staff for 1400 students?
Option A: 30
Option B: 14
Option C: 12
Option D: 17
Option E: 19
[EX A]: Option A
[EX Q]: Question: A survey is conducted on 800 people from a city. It is found that 6 1% of people surveyed speakHindi, 54.5% people speak Bangla and 37.5% of them speak English. 16.5% people can speak only Hindi and Bangla, 14.5% people can speak only Hindi and English and 6% people can speak only Bangla and English. Answer the following questions based on this information.
How many people are there who can speak only Hindi ?
Option A: 172
Option B: 174
Option C: 176
Option D: 178
Option E: 179
[EX A]: Option C
[EX Q]: Question: In a certain store, the profit is 300% 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: 65%
Option B: 66.7%
Option C: 68.75%
Option D: 70%
Option E: 71.2%
[EX A]: | Option C
| 6 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
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
Solution: Option C
Reason: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this instance: Question: If |x + 2| = 10, what is the sum of all the possible values of x?
Option A: -16
Option B: -13
Option C: -4
Option D: -2
Option E: 12
Student: | Option C | 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example: 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
Example solution: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: What is the place value of 7 in the numeral 57468?
Option A: 7000
Option B: 5000
Option C: 7
Option D: 700
Option E: 70
| Solution: Option A | 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example 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
Example output: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Q: Question: Anand and Deepak started a business investing Rs. 34,000 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Option A: 2777
Option B: 2888
Option C: 8400
Option D: 7000
Option E: 2781
A: | Option D | 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Part 1. 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.
Part 2. Example
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
Answer: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Part 3. Exercise
Question: A small library has an average of 510 visitors on Sundays and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday?
Option A: 200
Option B: 300
Option C: 285
Option D: 400
Option E: 450
Answer: | Option C | 7 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Given the task definition, example input & output, solve the new input case.
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.
Example: 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
Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
New input case for you: Question: If 2x = 3y = 20, then 12xy = ?
Option A: 1,200
Option B: 800
Option C: 120
Option D: 40
Option E: 20
Output: | Option B | 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
One example: 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
Solution is here: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this: Question: How many halves are there in nine-fourth?
Option A: 8
Option B: 4.5
Option C: 3.2
Option D: 7
Option E: 3
Solution: | Option B | 6 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
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
Solution: Option C
Reason: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this instance: Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Option A: 2.3
Option B: 2.5
Option C: 3.5
Option D: 3.6
Option E: 4.6
Student: | Option E | 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Q: Question: A started a business with an investment of Rs. 70000 and after 3 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 43000, then the share of B is?
Option A: 33888
Option B: 36000
Option C: 27778
Option D: 27772
Option E: 81122
A: Option B
****
Q: Question: Rs. 6000 is lent out in two parts. One part is lent at 5% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Option A: 5:1
Option B: 5:5
Option C: 5:8
Option D: 5:4
Option E: 5:2
A: Option B
****
Q: Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Option A: 10
Option B: 88
Option C: 77
Option D: 51
Option E: 21
A: | Option C
****
| 4 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example: 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
Example solution: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. the distance light in 100 year is
Option A: 587 x 10power9 miles
Option B: 587 x 10power12 miles
Option C: 587 x 10power8 miles
Option D: 587 x 10power-12 miles
Option E: 587 x 10power-9 miles
| Solution: Option B | 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Ex Input:
Question: The value of 3Z + Z(ZZ)(ZZ) when Z = 5 is:
Option A: 3150
Option B: 3200
Option C: 3140
Option D: 3650
Option E: 3104
Ex Output:
Option C
Ex Input:
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 36, what is the total amount?
Option A: 166
Option B: 140
Option C: 178
Option D: 177
Option E: 169
Ex Output:
Option B
Ex Input:
Question: Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z?
Option A: y + 3z
Option B: (y +z
Option C: 2y + 3z
Option D: z/2
Option E: 3y + 4.5z
Ex Output:
| Option D
| 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Question: A candidate got 32% of the votes polled and he lost to his rival by 1908 votes. How many votes were cast?
Option A: 5100
Option B: 5200
Option C: 5300
Option D: 5400
Option E: 5500
Option C
Question: A person incurs 5% loss by selling a watch for $1140 . At
what price should the watch be sold to earn 5% profit?
Option A: 1160
Option B: 1150
Option C: 1260
Option D: 1260
Option E: 1360
Option C
Question: In a group of ducks and cows, the total number of legs are 26 more than thrice the number of heads. Find the total number of cows.
Option A: A
Option B: B
Option C: C
Option D: D
Option E: E
| Option B
| 0 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[EX Q]: Question: Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)F can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
Option A: 660
Option B: 600
Option C: 500
Option D: 300
Option E: 240
[EX A]: Option E
[EX Q]: Question: Two stations A and B are 20 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Option A: 9
Option B: 10
Option C: 11
Option D: 12
Option E: 8
[EX A]: Option E
[EX Q]: Question: The price of 3 pants and 6 t-shirts is Rs. 1500. With the same money one can buy 1 pant and 12 t-shirts. If one wants to buy 8 t-shirts, how much shall she have to pay ?
Option A: 700
Option B: 300
Option C: 250
Option D: 550
Option E: 800
[EX A]: | Option E
| 6 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example: 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
Example solution: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is
Option A: 0.5928
Option B: 0.5904
Option C: 0.5297
Option D: 0.5297
Option E: 0.5101
| Solution: Option B | 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
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
Solution: Option C
Reason: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this instance: Question: John and Steve are speed walkers in a race. John is 12 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
Option A: 13 seconds
Option B: 17 seconds
Option C: 26 seconds
Option D: 34 seconds
Option E: 28 seconds
Student: | Option E | 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Part 1. 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.
Part 2. Example
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
Answer: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Part 3. Exercise
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
Answer: | Option D | 7 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Question: If p and q are positive integers each greater than 1, and 17(p+1)=20(q+1), what is the least possible value of p+q?
Option A: 35
Option B: 42
Option C: 44
Option D: 46
Option E: none
Option A
Question: The average marks of a class of 35 students is 45 and that of another class of 55 students is 65. Find the average marks of all the students?
Option A: 52.6
Option B: 52.4
Option C: 52.1
Option D: 57
Option E: 52.9
Option D
Question: What is the smallest positive integer x such that 507+x is the cube of a positive integer?
Option A: 15
Option B: 5
Option C: 50
Option D: 2
Option E: 4
| Option B
| 0 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
TASK 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.
PROBLEM: Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Option A: 77.14 cm
Option B: 47.14 cm
Option C: 84.92 cm
Option D: 94.94 cm
Option E: 23.57 cm
SOLUTION: Option E
PROBLEM: Question: Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 10
Option A: 13
Option B: 15
Option C: 17
Option D: 19
Option E: 21
SOLUTION: Option A
PROBLEM: Question: The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
Option A: 2211
Option B: 2721
Option C: 227
Option D: 176
Option E: 167
SOLUTION: | Option D
| 8 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Q: Question: Find the least number by which (59)(36)(17) has to be multiplied to obtain a perfect square?
Option A: 5
Option B: 17
Option C: 85
Option D: 221
Option E: 223
A: Option C
****
Q: Question: A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates Z apply to what fraction of a week?
Option A: 1/2
Option B: 5/8
Option C: 9/14
Option D: 16/21
Option E: 9/10
A: Option C
****
Q: Question: For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 181 books with me to gift her.
Can you calculate, on which day is our anniversary?
Option A: 31
Option B: 18
Option C: 23
Option D: 33
Option E: 25
A: | Option B
****
| 4 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
TASK 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.
PROBLEM: Question: If 6 (A's capital) = 8 (B's capital) = 18 (C's capital). Then the ratio of their capitals is?
Option A: 12:15:16
Option B: 12:15:4
Option C: 12:9:4
Option D: 20:15:11
Option E: 20:15:19
SOLUTION: Option C
PROBLEM: Question: 0.002 x 0.008 = ?
Option A: 1.6e-05
Option B: 0.001
Option C: 0.01
Option D: 0.1
Option E: NONE OF THESE
SOLUTION: Option A
PROBLEM: Question: 17200 x 223 + 17200 x 77 = ?
Option A: 2736900
Option B: 2738800
Option C: 2658560
Option D: 5160000
Option E: None of them
SOLUTION: | Option D
| 8 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[Q]: Question: A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and ,Rs.1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.
Option A: 16800;18900;21000
Option B: 17800;19800;22500
Option C: 15500;17600;20500
Option D: 16400;17200;18900
Option E: None of them
[A]: Option A
[Q]: Question: P is three times as fast as Q and working together, they can complete a work in 18 days. In how many days can Q alone complete the work?
Option A: 24
Option B: 77
Option C: 88
Option D: 55
Option E: 778
[A]: Option A
[Q]: Question: Which oif the following is a prime number?
Option A: 45
Option B: 39
Option C: 27
Option D: 33
Option E: 31
[A]: | Option E
| 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Ex Input:
Question: The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 25% more than the price of the other, what is the price of each of these two oranges?
Option A: Rs 11.5, Rs 14.5
Option B: Rs 8, Rs 12
Option C: Rs 10, Rs 16
Option D: Rs 12, Rs 14
Option E: None of these
Ex Output:
Option A
Ex Input:
Question: A die is rolled twice. What is the probability of getting a sum equal to 9?
Option A: 2/3
Option B: 2/9
Option C: 1/3
Option D: 1/9
Option E: 1/10
Ex Output:
Option D
Ex Input:
Question: 189. The inside dimensions of a rectangular wooden box
are 12 inches by 14 inches by 16 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Option A: 3
Option B: 4
Option C: 5
Option D: 6
Option E: 7
Ex Output:
| Option E
| 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[EX Q]: Question: In a certain school, the ratio of boys to girls is 5 to 13. If there are 160 more girls than boys, how many boys are there?
Option A: 100
Option B: 36
Option C: 45
Option D: 72
Option E: 117
[EX A]: Option A
[EX Q]: Question: A group of boy scouts and girls scouts is going on a rafting trip. 45% of the scouts arrived with signed permission slips. If 60% of the scouts were boy scouts and 25% of the boy scouts arrived with signed permission slips, then what percentage of the scouts were girl scouts who arrived with signed permission slips?
Option A: 20
Option B: 21
Option C: 25
Option D: 28
Option E: 30
[EX A]: Option E
[EX Q]: Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Option A: 1448
Option B: 1440
Option C: 1478
Option D: 1477
Option E: 1432
[EX A]: | Option B
| 6 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
One example: 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
Solution is here: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this: Question: 189. The inside dimensions of a rectangular wooden box
are 12 inches by 14 inches by 16 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Option A: 3
Option B: 4
Option C: 5
Option D: 6
Option E: 7
Solution: | Option E | 6 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[Q]: Question: If point A coordinates are (-7, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
Option A: (-2, - 2/3
Option B: (2, -2/3
Option C: (2/3, -2
Option D: (0, 2
Option E: (2, 2/3
[A]: Option A
[Q]: Question: Five players forms a team joins in a shooting game. The best shooter scored 78 points. If he had scored 95 points, the average score for the team would have been 85. The number of points, the team scored, was
Option A: 288
Option B: 345
Option C: 408
Option D: 672
Option E: 578
[A]: Option C
[Q]: Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Option A: 35/145
Option B: 36/145
Option C: 36/140
Option D: 36/141
Option E: 31/142
[A]: | Option B
| 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example: 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
Example solution: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 6 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Option A: 9 a.m
Option B: 10 a.m
Option C: 12 a.m
Option D: 02 a.m
Option E: 05 a.m
| Solution: Option A | 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example: 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
Example solution: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: 8 is 2% of a, and 2 is 8% of b. c equals b/a. What is the value of c?
Option A: 1/16
Option B: 1/4
Option C: 1
Option D: 4
Option E: 8
| Solution: Option A | 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Input: Consider Input: Question: On his first 3 tests, Rajeev received an average score of X points. If on his fourth test, he exceeds his previous average score by 24 points, what is his average score for his first 4 tests?
Option A: X
Option B: X+6
Option C: X+4
Option D: X+3
Option E: X+2
Output: Option B
Input: Consider Input: Question: A lady bought five books namely A,B,C,D,E to distribute her 7 friends. How many ways she can distribute books?
Option A: 7^3
Option B: 7^4
Option C: 7^5
Option D: 7^6
Option E: 7^2
Output: Option C
Input: Consider Input: Question: As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 50%, what is the probability that Karen will be accepted to at least one project?
Option A: 1/2
Option B: 3/4
Option C: 5/8
Option D: 7/8
Option E: 15/16
| Output: Option D
| 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
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
Solution: Option C
Reason: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this instance: Question: In a race, A beats B by 15 metres and C by 29 metres. If B and C run over the course together, B wins by 15 metres. What is the length of the course?
Option A: 225m
Option B: 229m
Option C: 222m
Option D: 221m
Option E: 226m
Student: | Option A | 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example Input: Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 4 students is 14 years and that of the other 10 students is 16 years, The age of the 15th student is
Option A: 11
Option B: 12
Option C: 9
Option D: 14
Option E: 15
Example Output: Option C
Example Input: Question: A board of length L feet is cut into two pieces such that the length of piece A is 4 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A?
Option A: (L+4
Option B: (L-4
Option C: (3L-4
Option D: (3L-1
Option E: (3L+4
Example Output: Option C
Example Input: Question: 8 is 2% of a, and 2 is 8% of b. c equals b/a. What is the value of c?
Option A: 1/16
Option B: 1/4
Option C: 1
Option D: 4
Option E: 8
Example Output: | Option A
| 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
instruction:
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.
question:
Question: A patient was given five pills which he is required to take one after every twenty minutes.
How long can the pills run for him?
Option A: 1 hour
Option B: 1 hour 20 minutes
Option C: 1 hour 30 minutes
Option D: 1 hour 35 minutes
Option E: 1 hour 40 minutes
answer:
Option B
question:
Question: Square A is inscribed in circle B. If the perimeter of A is 32, what is the circumference of B?
Option A: 6√ 2π
Option B: 4√ 2π
Option C: 8√ 2π
Option D: 7√ 2π
Option E: 5
answer:
Option C
question:
Question: A man buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent
Option A: 4%
Option B: 2%
Option C: 1%
Option D: 3%
Option E: 5%
answer:
| Option A
| 9 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Given the task definition, example input & output, solve the new input case.
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.
Example: 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
Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
New input case for you: Question: In a graduating class of 233 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
Option A: 114
Option B: 119
Option C: 113
Option D: 88
Option E: 31
Output: | Option A | 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[Q]: Question: Kiran is younger than Bineesh by 7 years and their ages are in the respective ratio of 7:9. How old is Kiran?
Option A: 22.5
Option B: 24.5
Option C: 23.5
Option D: 25.5
Option E: 26.5
[A]: Option B
[Q]: Question: There are 600 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?
Option A: 100
Option B: 200
Option C: 250
Option D: 300
Option E: 400
[A]: Option D
[Q]: Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Option A: 69
Option B: 78
Option C: 96
Option D: Cannot be determined
Option E: None of these
[A]: | Option D
| 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Given the task definition, example input & output, solve the new input case.
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.
Example: 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
Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
New input case for you: Question: An art gallery owner is hanging paintings for a new show. Of the eight paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Option A: 18
Option B: 30
Option C: 64
Option D: 6720
Option E: 216
Output: | Option D | 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example Input: Question: The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is?
Option A: 625
Option B: 827
Option C: 657
Option D: 726
Option E: 634
Example Output: Option A
Example Input: Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $2,000. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
Option A: $18,400
Option B: $19,500
Option C: $20,200
Option D: $20,700
Option E: $21,100
Example Output: Option D
Example Input: Question: If “*†is called “+â€, “/†is called “*â€, “-†is called “/â€, “+†is called “-â€. 240/80 – 60 * 40 - 10 = ?
Option A: 355
Option B: 341
Option C: 323.2
Option D: 425.6
Option E: 225.7
Example Output: | Option C
| 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Let me give you an example: 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
The answer to this example can be: Option C
Here is why: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
OK. solve this:
Question: If “*†is called “+â€, “/†is called “*â€, “-†is called “/â€, “+†is called “-â€. 240/80 – 60 * 40 - 10 = ?
Option A: 355
Option B: 341
Option C: 323.2
Option D: 425.6
Option E: 225.7
Answer: | Option C | 8 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
--------
Question: Question: A businessman earns $28800 in December, thus decreasing his average annual (January to December) earnings by $1300. His average annual earnings would be
Source: CMAT Preparation
Option A: $29000
Option B: $33500
Option C: $40200
Option D: $41000
Option E: $43100
Answer: Option E
Question: Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 370 m long platform?
Option A: 37 min
Option B: 55 min
Option C: 47 min
Option D: 67 min
Option E: 49 min
Answer: Option E
Question: Question: In covering a distance of 36 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Option A: 5 km/h
Option B: 6 km/h
Option C: 10 km/h
Option D: 15 km/h
Option E: 25 km/h
Answer: | Option B
| 7 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Part 1. 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.
Part 2. Example
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
Answer: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Part 3. Exercise
Question: If 2x/|y| = -16 which of the following must be true?
Option A: x = -y
Option B: x = y
Option C: x^2 =64 * y^2
Option D: x^2 = y^2
Option E: x^3 = y^3
Answer: | Option C | 7 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Given the task definition, example input & output, solve the new input case.
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.
Example: 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
Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
New input case for you: Question: When positive integer n is divided by 3, the remainder is 1. When n is divided by 11, the remainder is 9. What is the smallest positive integer k such that k+n is a multiple of 33?
Option A: 2
Option B: 4
Option C: 6
Option D: 8
Option E: 10
Output: | Option A | 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
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
Solution: Option C
Reason: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this instance: Question: Machine R and machine B are each used to manufacture 660 sprockets. It takes machine R 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine R. How many sprockets per hour does machine R produces?
Option A: 6
Option B: 6.6
Option C: 60
Option D: 100
Option E: 110
Student: | Option A | 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[EX Q]: Question: The difference between the place values of 7 and 3 in the number 527435 is
Option A: 4
Option B: 5
Option C: 45
Option D: 6970
Option E: None
[EX A]: Option D
[EX Q]: Question: What is the units digit of 18! + 5 ?
Option A: 2
Option B: 3
Option C: 4
Option D: 5
Option E: 6
[EX A]: Option D
[EX Q]: Question: Working together at their respective constant rates, Machine A and Machine B can produce 1,500 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 1,500 unit total would it produce?
Option A: 25
Option B: 36
Option C: 30
Option D: 67
Option E: 75
[EX A]: | Option C
| 6 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example: 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
Example solution: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: What is the cost price of an article sold by a trader at 10% loss, given that the trader would have made a profit of 9% if he had sold it for $60 more?
Option A: $526.31
Option B: 527.31
Option C: 516.31
Option D: 528.31
Option E: 524.31
| Solution: Option A | 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
instruction:
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.
question:
Question: If x is positive and y is negative, which of the following must be true?
Option A: The product of x and y is positive
Option B: The sum of x and y is positive
Option C: The sum of x and y is negative
Option D: The difference of x and y is positive
Option E: The sum of x^2 and y^2 is positive
answer:
Option E
question:
Question: Consider two statements
Statement 1 => If A is an integer and A=2p+1 where p is not an integer.
Statement 2 => If B is an integer and B=2q where q is not an integer
Which of the following correctly specifies the Even/Odd nature of A and B respectively
Option A: 1
Option B: 2
Option C: 3
Option D: 4
Option E: 5
answer:
Option E
question:
Question: Solomon taken a loan Rs.15000/- from Co-operative Society with an interest @ 11.5% per month. At the same time he deposited Rs. 10000/- as Fixed Deposit with an interest @ 9.5% per month. After one week sam asked the manager to calculate the interest to be paid. What is the interest amount for 7 days?
Option A: A
Option B: B
Option C: C
Option D: D
Option E: E
answer:
| Option E
| 9 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
instruction:
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.
question:
Question: When p is divided by 9, the remainder is 7. All of the following are possible values of p, except for which of the following?
Option A: 16
Option B: 34
Option C: 52
Option D: 60
Option E: 70
answer:
Option D
question:
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $8 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Option A: 8%
Option B: 15%
Option C: 46%
Option D: 52%
Option E: 56%
answer:
Option C
question:
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Option A: 23
Option B: 18
Option C: 20
Option D: 19
Option E: 21
answer:
| Option B
| 9 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Let me give you an example: 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
The answer to this example can be: Option C
Here is why: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
OK. solve this:
Question: Out of 200 donors, ¼ are men and remaining are women. Each male donor donates Rs.3000 per year and each female donor donates ½ of that amount. What is the total yearly collection through donations?
Option A: Rs.1, 50,000
Option B: Rs.3, 75,000
Option C: Rs.1, 40,300
Option D: Rs.2, 25,000
Option E: Rs.4, 25,000
Answer: | Option B | 8 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example 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
Example output: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Q: Question: Worker A takes 8 hours to do a job. Worker B takes 12 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Option A: 40 days
Option B: 24/5 days
Option C: 39/9 days
Option D: 30/9 days
Option E: 60/9 days
A: | Option B | 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Input: Consider Input: Question: Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?
Option A: 87
Option B: 57
Option C: 48
Option D: 26
Option E: 28
Output: Option C
Input: Consider Input: Question: Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ?
Option A: 1 : 1
Option B: 2 : 3
Option C: 5 : 2
Option D: 4 : 3
Option E: 7 : 9
Output: Option A
Input: Consider Input: Question: A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Option A: 3/21
Option B: 2/91
Option C: 4/91
Option D: 8/81
Option E: 9/72
| Output: Option B
| 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example Input: Question: Two pipes A&B can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.
Option A: 8 min
Option B: 3 min
Option C: 21 min
Option D: 23 min
Option E: 24 min
Example Output: Option A
Example Input: Question: A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
Option A: 2 km/hr
Option B: 3 km/hr
Option C: 4 km/hr
Option D: 7 km/hr
Option E: 8 km/hr
Example Output: Option B
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
Example Output: | Option B
| 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Detailed Instructions: 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.
See one example below:
Problem: 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
Solution: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: Four of the following five parts lettered a, b, c, d and e are exactly equal. Which of the following is not equal to the other four?
Option A: 24(2
Option B: 17 × 12 + 59 × 4
Option C: 15 × 28 + 20
Option D: 27 × 16 + 56 ÷ 8
Option E: 185 × 6 ÷ 2 – 23 × 5
Solution: | Option D | 4 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Given the task definition, example input & output, solve the new input case.
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.
Example: 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
Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
New input case for you: Question: If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Option A: 50 km
Option B: 76 km
Option C: 18 km
Option D: 60 km
Option E: 97 km
Output: | Option D | 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
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.
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
Solution: Option C
Why? Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
New input: Question: The length of a rectangular plot is 10 meters more than its width. If the cost of fencing the plot at $15.50 per meter is $682, what is the length of the plot in meters?
Option A: 10
Option B: 12
Option C: 14
Option D: 16
Option E: 18
Solution: | Option D | 0 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example 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
Example output: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Q: Question: The 7th grade French and Spanish classes each have 26 students in them, and there are nine students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
Option A: 26
Option B: 28
Option C: 30
Option D: 32
Option E: 34
A: | Option E | 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Input: Consider Input: Question: In a school of 450 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Option A: 72
Option B: 75
Option C: 80
Option D: 81
Option E: 90
Output: Option D
Input: Consider Input: Question: In a poll of 44,000 dentists, only 30 percent responded; of these, 20 percent claimed to prefer Toothpaste A. How many of the dentists who responded did not claim a preference for Toothpaste A?
Option A: 2,200
Option B: 2,640
Option C: 6,160
Option D: 8,800
Option E: 10,560
Output: Option E
Input: Consider Input: Question: The sale price sarees listed for Rs.350 after successive discount is 20% and 5% is?
Option A: 266
Option B: 278
Option C: 342
Option D: 787
Option E: 191
| Output: Option A
| 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
One example is below.
Q: 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
A: Option C
Rationale: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Q: Question: some money is distributed among A,B,C,D in the proportion of 1:3:4:2. If C gets $50 more than D, What is B's share?
Option A: 50
Option B: 100
Option C: 75
Option D: 27
Option E: 30
A: | Option C | 9 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[Q]: Question: A started a business with an investment of Rs. 70000 and after 3 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 43000, then the share of B is?
Option A: 33888
Option B: 36000
Option C: 27778
Option D: 27772
Option E: 81122
[A]: Option B
[Q]: Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Option A: 12.5
Option B: 12.1
Option C: 12.9
Option D: 12.7
Option E: 12.2
[A]: Option B
[Q]: Question: Find the value of 10 + 2 • (8 – 3)
Option A: 25
Option B: 13
Option C: 17
Option D: 20
Option E: 15
[A]: | Option D
| 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example: 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
Example solution: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: Find the value of 10 + 2 • (8 – 3)
Option A: 25
Option B: 13
Option C: 17
Option D: 20
Option E: 15
| Solution: Option D | 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Input: Consider Input: Question: The LCM of two numbers is 2310 and HCF is 26. If one of the numbers is 210. Then what is the other number ?
Option A: 715
Option B: 825
Option C: 286
Option D: 582
Option E: 465
Output: Option C
Input: Consider Input: Question: What is the sum of all the numbers which divides 100 ?
Option A: 408
Option B: 102
Option C: 816
Option D: 916
Option E: 416
Output: Option A
Input: Consider Input: Question: In a mixed college 160 students are there in one class. Out of this 160 students 3/8 students are girls. How many boys are there ?
Option A: A
Option B: B
Option C: C
Option D: D
Option E: E
| Output: Option D
| 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example 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
Example output: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Q: Question: A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
Option A: 15 years
Option B: 11 years
Option C: 12 years
Option D: 18 years
Option E: 19 years
A: | Option C | 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
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
Solution: Option C
Reason: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this instance: Question: How many 3-digit numerals begin with a digit that represents a prime number?
Option A: 16
Option B: 80
Option C: 400
Option D: 180
Option E: 240
Student: | Option C | 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example 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
Example output: Option C
Example explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Q: Question: A football matches has been organized in such a fashion, every participating team plays a match against every other team once and only once.
If 36 matches are totally played, how many teams participated?
Option A: 7
Option B: 8
Option C: 9
Option D: 10
Option E: 11
A: | Option C | 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Detailed Instructions: 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.
See one example below:
Problem: 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
Solution: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
Option A: 110 km/hr
Option B: 145 km/hr
Option C: 151 km/hr
Option D: 180 km/hr
Option E: 120 km/hr
Solution: | Option E | 4 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Part 1. 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.
Part 2. Example
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
Answer: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Part 3. Exercise
Question: The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Option A: 76 cm2
Option B: 56 cm2
Option C: 18 cm2
Option D: 98 cm2
Option E: 50 cm2
Answer: | Option E | 7 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Question: A car traveled 75% of the way from Town A to Town B at an average speed of 75 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?
Option A: 30
Option B: 35
Option C: 25
Option D: 40
Option E: 45
Option C
Question: Two pipes P and Q can fill a cistern in 12 and 14 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Option A: 11 1/2 min
Option B: 11 1/4 min
Option C: 11 2/4 min
Option D: 11 1/5 min
Option E: 10 1/2 min
Option E
Question: A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30 / kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?
Option A: 1 kgs
Option B: 3 kgs
Option C: 5 kgs
Option D: 6 kgs
Option E: None of these
| Option C
| 0 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
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
Solution: Option C
Reason: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this instance: Question: The sum of first five prime numbers is?
Option A: 12
Option B: 23
Option C: 24
Option D: 28
Option E: 30
Student: | Option D | 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Detailed Instructions: 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.
See one example below:
Problem: 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
Solution: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: Aarti can do a piece of work in 8 days. In how many days will she complete three time of work of same type?
Option A: 6 days
Option B: 19 days
Option C: 24 days
Option D: 3 days
Option E: 13 days
Solution: | Option C | 4 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Detailed Instructions: 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.
See one example below:
Problem: 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
Solution: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Problem: Question: In a certain game, you perform three tasks. You flip a coin, and success would be heads. You roll a single dice, and success would be a point. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Option A: 11/16
Option B: 15/32
Option C: 23/48
Option D: 14/36
Option E: 17/56
Solution: | Option C | 4 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Teacher: 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
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
Solution: Option C
Reason: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Now, solve this instance: Question: A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 9 a.m., at what time will he first touch a flag at 120 feet from the ground?
Option A: 4 p.m.
Option B: 5 p.m.
Option C: 6 p.m.
Option D: 7 p.m.
Option E: None of these
Student: | Option D | 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
Given the task definition, example input & output, solve the new input case.
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.
Example: 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
Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
New input case for you: Question: In a class of 5 students, average weight of the 4 lightest students is 40 kgs, Average weight of the 4 heaviest students is 45 kgs. What is the difference between the the maximum and minimum possible average weight overall?
Option A: 2.8 kgs
Option B: 3.2 kgs
Option C: 3 kgs
Option D: 4 kilograms
Option E: 2 kgs
Output: | Option D | 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
[Q]: Question: A mall charges 50 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a Rahul parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay?
Option A: $25
Option B: $12.
Option C: $23.5
Option D: $24.5.
Option E: $25.5
[A]: Option A
[Q]: Question: An amount of Rs. 75000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Option A: s. 46875; Rs. 28125
Option B: s. 62500; Rs. 37500
Option C: s. 72500; Rs. 27500
Option D: s. 82500; Rs. 17500
Option E: s. 72500; Rs. 17500
[A]: Option A
[Q]: Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
Option A: 0998
Option B: 2899
Option C: 1889
Option D: 1500
Option E: 2881
[A]: | Option D
| 5 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example Input: Question: One half of the workers at the biscuit company is technician,quarter is clerk,one-fifth are administrative and the other 25 are supervisors. How many workers total are there in the biscuit company?
Option A: 250
Option B: 366
Option C: 400
Option D: 500
Option E: 2500
Example Output: Option D
Example Input: Question: If 375*s is a perfect square then s can be which of the following numbers?
Option A: 21
Option B: 35
Option C: 54
Option D: 15
Option E: 150
Example Output: Option D
Example Input: Question: 5% of men have unlisted phone numbers and 4% of women have unlisted phone numbers. Population ratio of men : women in the city of gpuzzles is 4:3. If we select randomly 100 people from the phone directory, Can you tell us how many people selected will definitely have unlisted phone numbers?
Option A: 0%
Option B: 1%
Option C: 2%
Option D: 3%
Option E: 4%
Example Output: | Option A
| 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
One example is below.
Q: 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
A: Option C
Rationale: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Q: Question: 5% of men have unlisted phone numbers and 4% of women have unlisted phone numbers. Population ratio of men : women in the city of gpuzzles is 4:3. If we select randomly 100 people from the phone directory, Can you tell us how many people selected will definitely have unlisted phone numbers?
Option A: 0%
Option B: 1%
Option C: 2%
Option D: 3%
Option E: 4%
A: | Option A | 9 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Input: Consider Input: Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Option A: 482
Option B: 297
Option C: 278
Option D: 298
Option E: 279
Output: Option A
Input: Consider Input: Question: A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
Option A: 2 km/hr
Option B: 1 km/hr
Option C: 4 km/hr
Option D: 6 km/hr
Option E: 5 km/hr
Output: Option B
Input: Consider Input: Question: A rope of which a calf is tied is increased from 5m to 9 m, how much additional grassy ground shall it graze?
Option A: 1218
Option B: 180
Option C: 176
Option D: 200
Option E: 291
| Output: Option C
| 2 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Example Input: Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Option A: 4800
Option B: none of these
Option C: 3600
Option D: 1200
Option E: 2400
Example Output: Option E
Example Input: Question: If x is an integer such that 5 < x < 21, 7 < x < 18, 13 > x > 2, 12 > x > 9, and x + 1 < 13, then x is
Option A: 3
Option B: 5
Option C: 7
Option D: 9
Option E: 11
Example Output: Option E
Example Input: Question: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Option A: 29.98
Option B: 20.98
Option C: 20.92
Option D: 20.96
Option E: 20.91
Example Output: | Option B
| 3 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
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.
Ex Input:
Question: A train covers a distance of 12 km in 10 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
Option A: 100
Option B: 110
Option C: 200
Option D: 130
Option E: 140
Ex Output:
Option C
Ex Input:
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Option A: 9400
Option B: 9600
Option C: 9800
Option D: 9000
Option E: 9200
Ex Output:
Option B
Ex Input:
Question: Which of the numbers 1, 2, 3, 4, or 5 is nearest in value to the sum
2007/2999+8001/5998+2001/3999=?
Option A: 1
Option B: 2
Option C: 3
Option D: 4
Option E: 5
Ex Output:
| Option C
| 1 | NIv2 | task750_aqua_multiple_choice_answering | fs_opt |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 5