inputs stringlengths 92 1.37k | targets stringlengths 0 137 | _template_idx int64 0 9 | _task_source stringclasses 1 value | _task_name stringclasses 1 value | _template_type stringclasses 2 values |
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The task is to generate the correct answer for a given math problem.
[Q]: Problem: a car salesman earns a base salary of $ 1000 per month plus a commission of $ 200 for each car he sells . if the car salesman earned $ 2000 in march , how many cars does he need to sell in april in order to double his march earnings ?
[A]: 15
[Q]: Problem: a worker is paid a regular rate of rs . 30 for completing a survey . the worker completes 100 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 20 % higher than her regular rate . if she completed 50 surveys involving the use of her cellphone , how much did she get that week ?
[A]: 330
[Q]: Problem: in the faculty of reverse - engineering , 230 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ?
[A]: | 649 .
| 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: a 11 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?
Output: 6 / 11
Input: Consider Input: Problem: the cost of the paint is rs . 50 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 20 feet each side
Output: rs . 6000
Input: Consider Input: Problem: share rs . 6600 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ?
| Output: 2200
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
[Q]: Problem: a man goes to shopkeeper and says that if u give me as much as i have , i will spend rs . 10 / - on ur shop . shopkeeper agrees and man moves to another shopkeeper ans asked same . at 3 rd shop after all the transaction , he was left with no money . find the initial amount with the man
[A]: 8.75
[Q]: Problem: excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ?
[A]: 20 min
[Q]: Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 25 and the slope of line segment ac is 4 / 3 , what is the length of ab ?
[A]: | 20
| 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Part 1. Definition
The task is to generate the correct answer for a given math problem.
Part 2. Example
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Answer: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Part 3. Exercise
Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 25 and the slope of line segment ac is 4 / 3 , what is the length of ab ?
Answer: | 20 | 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
[Q]: Problem: the average of temperatures at noontime from monday to friday is 55 ; the lowest one is 45 , what is the possible maximum range of the temperatures ?
[A]: 40
[Q]: Problem: a train running at the speed of 70 km / hr crosses a pole in 9 sec . what is the length of the train ?
[A]: 175 m
[Q]: Problem: if n is an integer and 101 n ^ 2 is less than or equal to 6400 , what is the greatest possible value of n ?
[A]: | 7
| 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
--------
Question: Problem: a cylindrical can has a radius of 3 centimeters and a height of 24 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ?
Answer: 144 pi', 'e ) 576 pi'
Question: Problem: the probability is 1 / 2 that a certain coin turns up heads on any given toss . if the coin is tossed 6 times , what is the probability that the coin turns up tails on at least one of the tosses ?
Answer: 63 / 64
Question: Problem: the sum of two consecutive integers is 51 . find the numbers .
Answer: | 25,2
| 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Problem: twice the larger of two numbers is 3 more than 5 times the smaller , and the sum of 4 times the larger and 3 times the smaller is 71 . what are the numbers ?
14
Problem: sachin is older than rahul by 7 years . if the ratio of their ages is 11 : 9 , find the age of sachin
38.5
Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 36 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ?
| 144 pi', 'c ) 70', 'd ) 80', 'e ) 90'
| 0 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
[Q]: Problem: if | 5 x - 20 | = 100 , then find the sum of the values of x ?
[A]: 8
[Q]: Problem: how many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?
[A]: 27 sec
[Q]: Problem: during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 135 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?
[A]: | 360
| 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example solution: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Problem: Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 36 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ?
| Solution: 144 pi', 'c ) 70', 'd ) 80', 'e ) 90' | 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example output: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: what will be in unit ' s place digit of 3 to the power 34 .
A: | 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt | |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: a question paper has 2 parts , a & b , each containing 8 questions . if a student has to choose 8 from part a & 4 from part b , in how many ways can he choose the questions ?
Output: 70
Input: Consider Input: Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 46.24 , the number of the member is the group is :
Output: 68
Input: Consider Input: Problem: before 6 years , dog a ’ s age was 4 times of dog b ’ s age and after 4 years , dog a ’ s age will be 3 times of dog b ’ s age . what is the difference of dog a ’ s age and dog b ’ s now ?
| Output: 6
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Detailed Instructions: The task is to generate the correct answer for a given math problem.
See one example below:
Problem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Problem: Problem: a pipe can empty 2 / 3 rd of a cistern in 12 mins . in 6 mins , what part of the cistern will be empty ?
Solution: | 1 / | 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: a rectangle having length 89 cm and width 34 cm . if the length of the rectangle is increased by eighty percent then how much percent the breadth should be decreased so as to maintain the same area .
Output: 47.33 %
Input: Consider Input: Problem: a train 800 m long can cross a pole in 10 sec and then find the speed of the train ?
Output: 28
Input: Consider Input: Problem: the curved surface of a sphere is 64 π cm 2 . find its radius ?
| Output: 4', 'd ) 9', 'e ) 7'
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Q: Problem: a train crosses a bridge of length 200 m in 10 seconds and a lamp post on the bridge in 5 seconds . what is the length of the train in metres ?
A: 200 m
****
Q: Problem: john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination . how many miles did john drive ?
A: 225 miles .
****
Q: Problem: a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 18 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?
A: | $ 27
****
| 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Let me give you an example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
The answer to this example can be: 625
Here is why: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
OK. solve this:
Problem: the curved surface of a sphere is 64 π cm 2 . find its radius ?
Answer: | 4', 'd ) 9', 'e ) 7' | 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
instruction:
The task is to generate the correct answer for a given math problem.
question:
Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 50 marks . how many sums did sandy get correct ?
answer:
22
question:
Problem: sachin is older than rahul by 7 years . if the ratio of their ages is 11 : 9 , find the age of sachin
answer:
38.5
question:
Problem: the length of a room is 9 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .
answer:
| 3847
| 9 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 4 ?
SOLUTION: 10
PROBLEM: Problem: 20 is subtracted from 80 % of a number , the result is 60 . find the number ?
SOLUTION: 100
PROBLEM: Problem: what is the total number of integers between 10 and 50 that are divisible by 2 ?
SOLUTION: | 19
| 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: 60 percent of movie theatres in town x have 3 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ?
SOLUTION: 32
PROBLEM: Problem: a worker is paid a regular rate of rs . 10 for completing a survey . the worker completes 50 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 30 % higher than her regular rate . if she completed 35 surveys involving the use of her cellphone , how much did she get that week ?
SOLUTION: 605
PROBLEM: Problem: by selling an article at rs . 600 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?
SOLUTION: | s . 360
| 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Detailed Instructions: The task is to generate the correct answer for a given math problem.
See one example below:
Problem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Problem: Problem: the length of a room is 9 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .
Solution: | 3847 | 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution is here: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Now, solve this: Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 12 seconds . the length of the faster train is
Solution: | 270 m | 6 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: what decimal fraction is 90 ml of a litre ?
SOLUTION: . 09
PROBLEM: Problem: tourist purchased a total of 30 travelers checks in $ 50 and $ 100 denominations . the total worth of the travelers checks is $ 1800 . how many checks of $ 50 denominations can he spend so that average amount ( arithmetic mean ) of the remaining travelers checks is $ 100 ?
SOLUTION: 2
PROBLEM: Problem: the simple interest on a sum of money will be rs . 1400 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?
SOLUTION: | 2800
| 8 | NIv2 | task1726_mathqa_correct_answer_generation | 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.
The task is to generate the correct answer for a given math problem.
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution: 625
Why? Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
New input: Problem: the simple interest on a sum of money will be rs . 1400 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?
Solution: | 2800 | 0 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Ex Input:
Problem: how many prime numbers are between 51 / 13 and 89 / 9 ?
Ex Output:
2
Ex Input:
Problem: two trains each 120 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 85 km / h while the other travels at 65 km / h . how long will it take for them to pass each other completely .
Ex Output:
10.07 sec
Ex Input:
Problem: convert the 13 / 36 m / s into kilometers per hour ?
Ex Output:
| 1.3
| 1 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
[Q]: Problem: the average weight of a , b and c is 60 kg . if the average weight of a and b be 70 kg and that of b and c be 50 kg , then the weight of b is :
[A]: 60 kg
[Q]: Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 50 marks . how many sums did sandy get correct ?
[A]: 22
[Q]: Problem: a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds . what is the length of the train in meters ?
[A]: | 400 meters
| 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: in an election between two candidates , one got 60 % of the total valid votes , 30 % of the votes were invalid . if the total number of votes was 9000 , the number of valid votes that the other candidate got , was :
Output: 2520
Input: Consider Input: Problem: find the sum the difference between the compound and s . i . on a certain sum of money for 5 years at 20 % per annum is rs . 75 of money ?
Output: 1875
Input: Consider Input: Problem: if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1,452 and w , where w is a positive integer , what is the smallest possible value of w ?
| Output: 46
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Given the task definition, example input & output, solve the new input case.
The task is to generate the correct answer for a given math problem.
Example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625
Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
New input case for you: Problem: a shopkeeper sold an article offering a discount of 4 % and earned a profit of 32 % . what would have been the percentage of profit earned if no discount was offered ?
Output: | 37. | 1 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: 6 ) a marketing firm determined that , of 260 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ?
SOLUTION: c ) 30
PROBLEM: Problem: if one - third of one - fourth of a number is 18 , then 3 - tenth of that number is : a . 35
SOLUTION: 64.8
PROBLEM: Problem: a shopkeeper sold an article offering a discount of 4 % and earned a profit of 32 % . what would have been the percentage of profit earned if no discount was offered ?
SOLUTION: | 37.
| 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example solution: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Problem: Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 6 from each observations . what is the the updated mean is ?
| Solution: 19 | 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example is below.
Q: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
A: 625
Rationale: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: a train is 360 meter long is running at a speed of 50 km / hour . in what time will it pass a bridge of 140 meter length ?
A: | 36 | 9 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example solution: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Problem: Problem: if the product of the integers w , x , y and z is 840 , and if 1 < w < x < y < z , what is the value of w + z ?
| Solution: 11 | 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example output: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: a train traveling at 108 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds . what is the length of the platform in meters ?
A: | 360 meters | 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example output: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: how many numbers from 15 to 65 are exactly divisible by 5 ?
A: | 10 | 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example is below.
Q: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
A: 625
Rationale: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: a sum fetched a total simple interest of $ 4061.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?
A: | $ 892 | 9 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example output: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: evaluate : 10111 - 10 * 2 * 5 = ?
A: | 10101 | 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example is below.
Q: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
A: 625
Rationale: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: two cycles are standing side - by - side . one cycle , which is 2.5 feets tall , casts a shadow that is 5 feets long . the other cycle is 2 feets tall . compute , in feets , the length of the shadow that the shorter cycle casts .
A: | 4 | 9 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
--------
Question: Problem: on a certain road , 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?
Answer: 12.5 %
Question: Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 1 : 2 . the first number is :
Answer: a ) 27
Question: Problem: a train is 360 meter long is running at a speed of 50 km / hour . in what time will it pass a bridge of 140 meter length ?
Answer: | 36
| 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Problem: a family pays $ 800 per year for an insurance plan that pays 70 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total how much ?
$ 1,400
Problem: 60 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780 . the bigger part is :
45
Problem: a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 15 % . their gross income from sales for one month increases by what percent ?
| 3.5 %
| 0 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: three 7 faced dice are thrown together . the probability that all the three show the same number on them is ?
SOLUTION: 1 / 49
PROBLEM: Problem: if 5 a = 3125 , then the value of 5 ( a - 3 ) is :
SOLUTION: 25
PROBLEM: Problem: a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 250 per month . what is his monthly salary ?
SOLUTION: | 6250
| 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
--------
Question: Problem: the difference between the place values of two nines in the numerical 62039295 is
Answer: 8910
Question: Problem: jack and jill are marathon runners . jack can finish a marathon ( 42 km ) in 7 hours and jill can run a marathon in 4.2 hours . what is the ratio of their average running speed ? ( jack : jill )
Answer: 5 / 5
Question: Problem: two cycles are standing side - by - side . one cycle , which is 2.5 feets tall , casts a shadow that is 5 feets long . the other cycle is 2 feets tall . compute , in feets , the length of the shadow that the shorter cycle casts .
Answer: | 4
| 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: of the 130 employees at company x , 80 are full - time , and 100 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ?
Output: 30
Input: Consider Input: Problem: there are 7 executives , including the ceo and cfo , that are asked to form a small team of 4 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 ?
Output: 25
Input: Consider Input: Problem: the diagonal of a rhombus are 70 m and 160 m . its area is :
| Output: 5600
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example output: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: a garrison of 400 men had a provision for 31 days . after 26 days 275 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ?
A: | 16 days | 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example output: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: the cost price of a radio is rs . 3300 and it was sold for rs . 1230 , find the loss % ?
A: | 62.7 % | 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example is below.
Q: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
A: 625
Rationale: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: if the volume of two cubes are in the ratio 8 : 1 , the ratio of their edges is :
A: | 2 : 1', 'b ) 3 : 2', 'c ) 3 : 5', 'd ) 3 : 7', 'e ) none of these' | 9 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example Input: Problem: if each side of a square is increased by 20 % , find the percentage change in its area ?
Example Output: 44 %
Example Input: Problem: in what time will a train 50 m long cross an electric pole , it its speed be 360 km / hr ?
Example Output: 0.5
Example Input: Problem: a rectangular garden is to be twice as long as it is wide . if 180 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?
Example Output: | 60
| 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Part 1. Definition
The task is to generate the correct answer for a given math problem.
Part 2. Example
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Answer: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Part 3. Exercise
Problem: sand is poured into a box so that the box is being filled at the rate of 4 cubic feet per hour . if the empty rectangular box is 7 feet long , 6 feet wide , and 2 feet deep , approximately how many hours does it take to fill the box ?
Answer: | 21', 'c ) 22', 'd ) 23', 'e ) 24' | 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Let me give you an example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
The answer to this example can be: 625
Here is why: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
OK. solve this:
Problem: a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat in still water and stream is
Answer: | 3 : 1 | 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Q: Problem: a , b and c start a business each investing 20,000 . after 5 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 69,900 was recorded . find the share of b .
A: 28,200
****
Q: Problem: if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 52 , what is the compound interest on the same sum at the rate and for the same time ?
A: s . 53.30
****
Q: Problem: a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat in still water and stream is
A: | 3 : 1
****
| 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Given the task definition, example input & output, solve the new input case.
The task is to generate the correct answer for a given math problem.
Example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625
Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
New input case for you: Problem: a shopkeeper has 280 kg of apples . he sells 30 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total .
Output: | 24 % | 1 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Detailed Instructions: The task is to generate the correct answer for a given math problem.
See one example below:
Problem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Problem: Problem: a man can row downstream at 35 kmph and upstream at 25 kmph . find the speed of the man in still water and the speed of stream respectively ?
Solution: | 30 | 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Q: Problem: a train passes a station platform in 36 sec and a man standing on the platform in 25 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?
A: 165
****
Q: Problem: the average of 5 quantities is 12 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ?
A: 24
****
Q: Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 5 ) and c ( 2 a + 1 , 2 a + 5 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ?
A: | 82.5
****
| 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
instruction:
The task is to generate the correct answer for a given math problem.
question:
Problem: a , b and c rents a pasture for rs . 730 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?
answer:
22
question:
Problem: two cubes have their volumes are in the ratio 1 : 27 . find the ratio of their surface area ?
answer:
1 : 9', 'd ) 2 : 7', 'e ) 3 : 11'
question:
Problem: a corporation paid $ 10 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits . by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits ?
answer:
| 0 %
| 9 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Given the task definition, example input & output, solve the new input case.
The task is to generate the correct answer for a given math problem.
Example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625
Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
New input case for you: Problem: in an election , candidate a got 55 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ?
Output: | 261800 | 1 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Part 1. Definition
The task is to generate the correct answer for a given math problem.
Part 2. Example
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Answer: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Part 3. Exercise
Problem: what is the area a of the square with the following coordinates : ( x , y ) , ( 20 , 20 ) , ( 20 , 5 ) , ( x , 5 ) ?
Answer: | 225 .', 'e ) it can not be determined from the information given' | 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
--------
Question: Problem: meena wrote all the numbers from 1 to 29,999 inclusive . how many digits did she write in total ?
Answer: 138,889
Question: Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 50 marks . how many sums did sandy get correct ?
Answer: 22
Question: Problem: keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to 30 % of the total number of books in the library . if prior to the purchase , only 20 % of the books in keats library were biographies , by what percent has the number of biographies in the library increased ?
Answer: | 71 %
| 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Q: Problem: a cycle is bought for rs . 900 and sold for rs . 1170 , find the gain percent ?
A: 30 %
****
Q: Problem: a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 10 metres apart , how many poles will be needed ?
A: 28
****
Q: Problem: a man has some hens and cows . if the number of heads be 48 and the number of feet equals 140 , then the number of cows will be :
A: | 2
****
| 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution is here: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Now, solve this: Problem: a ( 3 , w ^ 3 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 - 1 . what is the value of w ?
Solution: | 2 . | 6 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example output: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 12 feet between each tree . how many trees can be planted if the road is 157 feet long ?
A: | 1 | 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: what is the prime factors ’ number of 18 ?
SOLUTION: 3
PROBLEM: Problem: a train covers a distance of 100 km in 1 hour . if its speed is decreased by 10 km / hr , the time taken by the car to cover the same distance will be ?
SOLUTION: 1 hr 6 min
PROBLEM: Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ?
SOLUTION: | 95 kg
| 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Ex Input:
Problem: each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.74 % , what fraction of the products was checked by worker y ?
Ex Output:
4 /
Ex Input:
Problem: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 150 more than the correct answer . find the number .
Ex Output:
288
Ex Input:
Problem: in a class of 40 students 26 play football and play 20 long tennis , if 17 play above , many play neither ?
Ex Output:
| 11
| 1 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example Input: Problem: by selling an article for $ 195 , a person gains $ 45 . what is the gain % ?
Example Output: 30 %
Example Input: Problem: of 30 applicants for a job , 9 had at least 4 years ' experience , 18 had degrees , and 3 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?
Example Output: 10
Example Input: Problem: two cubes of their volumes in the ratio 64 : 343 . the ratio of their surface area is :
Example Output: | 4 :
| 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: a and b together can complete work in 6 days . a alone starts working and leaves it after working for 4 days completing only half of the work . in how many days it can be completed if the remaining job is undertaken by b ?
Output: 12
Input: Consider Input: Problem: a jogger running at 9 kmph along side a railway track is 260 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?
Output: 38 sec
Input: Consider Input: Problem: a grocer has a sale of rs . 5255 , rs . 5840 , rs . 5921 , rs . 6022 and rs . 6499 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5500 ?
| Output: 4463
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | 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.
The task is to generate the correct answer for a given math problem.
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution: 625
Why? Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
New input: Problem: employees of a certain company are each to receive a unique 10 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ?
Solution: | 161,280 | 0 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: how many quarters are equal to 7 dollars ?
Output: 28
Input: Consider Input: Problem: during a certain season , a team won 70 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?
Output: 10
Input: Consider Input: Problem: two numbers are in the ratio of 1 : 2 . if 6 be added to both , their ratio changes to 3 : 5 . the greater number is
| Output: 24
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example output: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: if a ( a + 7 ) = 60 and b ( b + 7 ) = 60 , where a ≠ b , then a + b =
A: | − 7 | 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
--------
Question: Problem: excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ?
Answer: 20 min
Question: Problem: find the value o f 72519 x 9999 = m ?
Answer: m = 725117481
Question: Problem: excluding the stoppages , the speed of a bus is 12 km / hr and including the stoppages the speed of the bus is 6 km / hr . for how many minutes does the bus stop per hour ?
Answer: | 30 min
| 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
[EX Q]: Problem: the ratio between the sale price and the cost price of an article is 12 : 7 . what is the ratio between the profit and the cost price of that article ?
[EX A]: 5 : 7
[EX Q]: Problem: if a man lost 4 % by selling oranges at the rate of 72 a rupee at how many a rupee must he sell them to gain 44 % ?
[EX A]: 48
[EX Q]: Problem: how many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?
[EX A]: | 27 sec
| 6 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
--------
Question: Problem: if x is to be chosen at random from the set { 1 , 2 , 3 , 4 } and y is to be chosen at random from the set { 6 , 7 } , what is the probability that xy will be even ?
Answer: 1 / 6
Question: Problem: a room 5 m 55 cm long and 3 m 74 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor ?
Answer: 17
Question: Problem: the difference between the value of a number increased by 25 % and the value of the original number decreased by 30 % is 22 . what is the original number ?
Answer: | 40
| 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution is here: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Now, solve this: Problem: a rectangle having length 89 cm and width 34 cm . if the length of the rectangle is increased by eighty percent then how much percent the breadth should be decreased so as to maintain the same area .
Solution: | 47.33 % | 6 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example is below.
Q: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
A: 625
Rationale: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Q: Problem: heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many litres of tomato puree will be obtained from 20 litres of tomato juice ?
A: | 2.5 litres | 9 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Let me give you an example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
The answer to this example can be: 625
Here is why: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
OK. solve this:
Problem: how many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?
Answer: | 27 sec | 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
instruction:
The task is to generate the correct answer for a given math problem.
question:
Problem: arjun started a business with rs . 20,000 and is joined afterwards by anoop with rs . 80 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ?
answer:
9
question:
Problem: in x game of billiards , x can give y 20 points in 60 and he can give z 30 points in 60 . how many points can y give z in x game of 120 ?
answer:
30
question:
Problem: of the goose eggs laid at a certain pond , 1 / 4 hatched and 4 / 5 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 120 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ?
answer:
| 1500
| 9 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Problem: whats the reminder when 58 , 458,965 , 231,457 , 895,684 , 525,465 , 985,445 is divided by 16
5
Problem: a train 150 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?
9 sec
Problem: in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 88,000 , how many purple chips were selected ?
| 2
| 0 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Ex Input:
Problem: a and b invests rs . 10000 each , a investing for 6 months and b investing for all the 12 months in the year . if the total profit at the end of the year is rs . 24000 , find their shares ?
Ex Output:
8000
Ex Input:
Problem: triangle atriangle b are similar triangles with areas 2023 units square and 1792 units square respectively . the ratio of there corresponding height would be
Ex Output:
17 : 16
Ex Input:
Problem: what is the least value of x , so that 23 x 57 is divisible by 3
Ex Output:
| 1
| 1 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Q: Problem: at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 30 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 30 pieces of fruit is 56 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ?
A: 1
****
Q: Problem: there are 7 executives , including the ceo and cfo , that are asked to form a small team of 4 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 ?
A: 25
****
Q: Problem: a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 25 % lemonade syrup ?
A: | 2.14
****
| 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Q: Problem: solve the equation for x : 6 x - 47 + 3 x = 4 + 9 - x
A:
****
Q: Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 1 : 2 . the first number is :
A: a ) 27
****
Q: Problem: a work crew of 6 men takes 8 days to complete one - half of a job . if 9 men are then added to the crew and the men continue to work at the same rate , how many days will it take the enlarged crew to do the rest of the job ?
A: | 3 1 / 5
****
| 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: how many integers n are prime numbers in the range 200 < n < 220 ?
Output: 1
Input: Consider Input: Problem: by selling an article for $ 225 a person gains $ 75 . what is the gain % ?
Output: 50 %
Input: Consider Input: Problem: 60 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780 . the bigger part is :
| Output: 45
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Q: Problem: two trains each 120 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 85 km / h while the other travels at 65 km / h . how long will it take for them to pass each other completely .
A: 10.07 sec
****
Q: Problem: a car gets 24 miles to the gallon . if it is modified to use a solar panel , it will use only 75 percent as much fuel as it does now . if the fuel tank holds 12 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?
A: 96
****
Q: Problem: the simple form of the ratio 7 / 6 : 2 / 5 is ?
A: | 35 : 1
****
| 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution is here: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Now, solve this: Problem: two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 30 hr . if all pipes are opened simultaneously , then the cistern will be filled in
Solution: | 6.67 hr | 6 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example Input: Problem: if sharon ' s weekly salary increased by 16 percent , she would earn $ 348 per week . if instead , her weekly salary were to increase by 15 percent , how much would she earn per week ?
Example Output: $ 345
Example Input: Problem: find the least number must be subtracted from 62575 so that remaining number is divisible by 99 .
Example Output: 7
Example Input: Problem: what is 66.67 % of 804 ?
Example Output: | 536
| 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
[EX Q]: Problem: the average of temperatures at noontime from monday to friday is 55 ; the lowest one is 45 , what is the possible maximum range of the temperatures ?
[EX A]: 40
[EX Q]: Problem: a can do a piece of work in 22 days and b alone can do it in 10 days . b works at it for 5 days and then leaves . a alone can finish the remaining work in
[EX A]: 11 days
[EX Q]: Problem: in the manufacture of a certain product , 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
[EX A]: | 0.2 %
| 6 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: the number of positive integer solutions for the equation x + y + z + t = 30 is
Output: 3654
Input: Consider Input: Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn $ 90 only . men ’ s wages are ?
Output: $ 6
Input: Consider Input: Problem: i chose a number and divide it by 4 . then i subtracted 24 from the result and got 10 . what was the number i chose ?
| Output: 170
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Let me give you an example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
The answer to this example can be: 625
Here is why: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
OK. solve this:
Problem: in the manufacture of a certain product , 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
Answer: | 0.2 % | 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Q: Problem: the total marks obtained by a student in mathematics and physics is 32 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .
A: 26
****
Q: Problem: the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 1000 for a computer table , then what was the cost price of the computer table ?
A: 80
****
Q: Problem: a is twice as good a workman as b and they took 6 days together to do the work b alone can do it in .
A: | 18 days
****
| 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: | x + 3 | – | 4 - x | = | 9 + x | how many solutions will this equation have ?
SOLUTION: 1
PROBLEM: Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500000 ?
SOLUTION: 200
PROBLEM: Problem: mary , peter , and lucy were picking chestnuts . mary picked twice as much chestnuts than peter . lucy picked 2 kg more than peter . together the 3 of them picked 26 kg of chestnuts . how many kilograms did mary pick ?
SOLUTION: | 12
| 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example Input: Problem: what is the 149 th digit to the right of the decimal point in the decimal form of 30 / 33 ?
Example Output: 9
Example Input: Problem: a fair 2 sided coin is flipped 4 times . what is the probability that tails will be the result at least twice , but not more than 4 times ?
Example Output: 5 / 8
Example Input: Problem: the ratio of two quantities is incorrect when written as 10 to 14 . how should this ratio be written ?
Example Output: | 5 : 7
| 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 914800 , how many months will it take joan to pay back her mortgage ?
Output: 9
Input: Consider Input: Problem: the ratio of the radius of two circles is 1 : 3 , and then the ratio of their areas is ?
Output: 1 : 9
Input: Consider Input: Problem: in a group of 28 junior high school students , 5 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ?
| Output: 13
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Let me give you an example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
The answer to this example can be: 625
Here is why: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
OK. solve this:
Problem: the least perfect square , which is divisible by each of 21,36 and 66 is
Answer: | 213444', 'b ) 214344', 'c ) 214434', 'd ) 213443', 'e ) none of these' | 8 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example Input: Problem: a 10 % stock yields 8 % . the market value of the stock is :
Example Output: rs . 125
Example Input: Problem: for a certain art exhibit , a museum sold admission tickets to a group of 50 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive . the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 6 . if on one day 3 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that day ?
Example Output: $ 4860
Example Input: Problem: a and b together can complete a work in 12 days . a alone complete it in 20 days . if b does the work only for half a day daily , then in how many days a and b together will complete the work ?
Example Output: | 15 days
| 3 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Detailed Instructions: The task is to generate the correct answer for a given math problem.
See one example below:
Problem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Problem: Problem: nitin ranks 24 th in a class of 58 students . what is rank from the last ?
Solution: | 34 | 4 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Input: Consider Input: Problem: two trains of length 100 meters and 200 meters are 450 meters apart . they are moving towards each other on parallel tracks , at speeds of 90 km / h and 72 km / h . after how many seconds will the trains meet ?
Output: 10
Input: Consider Input: Problem: a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 30 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?
Output: 32.
Input: Consider Input: Problem: nitin ranks 24 th in a class of 58 students . what is rank from the last ?
| Output: 34
| 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
--------
Question: Problem: the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 19 - inch screen would be how many square inches greater than the area of a square 17 - inch screen ?
Answer: 36
Question: Problem: there are 750 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?
Answer: 125
Question: Problem: evaluate : 19 + sqrt ( - 2 + 12 ã — 6 ã · 9 ) = ?
Answer: | 55
| 7 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
One example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution is here: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Now, solve this: Problem: how many digits will be there to the right of the decimal point in the product of 89.635 and . 02218 ?
Solution: | 7 | 6 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
[Q]: Problem: if a = 105 and a ^ 3 = 21 × 25 × 45 × z , what is the value of z ?
[A]: 49
[Q]: Problem: john invests $ x at the semi - annual constant compounded rate of 2 percent and also does $ 20,000 at the quarterly constant compounded rate of 4 percent . if the interests are the same after 1 year , what is the value of x ? ?
[A]: 40,402
[Q]: Problem: how many digits will be there to the right of the decimal point in the product of 89.635 and . 02218 ?
[A]: | 7
| 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
instruction:
The task is to generate the correct answer for a given math problem.
question:
Problem: 5 / 8 of 3 / 10 of a number is greater than 4 / 9 of 1 / 4 of the same number by 55 . what is half of that number ?
answer:
36
question:
Problem: what is the sum of the multiples of 4 between 63 and 151 inclusive ?
answer:
233
question:
Problem: tough and tricky questions : remainders . 1 ^ 1 + 2 ^ 2 + 3 ^ 3 + . . . + 7 ^ 7 is divided by 7 . what is the remainder ?
answer:
| 9 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt | |
The task is to generate the correct answer for a given math problem.
One example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution is here: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Now, solve this: Problem: a rope of which a calf is tied is increased from 12 m to 23 m , how much additional grassy ground shall it graze ?
Solution: | 1210 | 6 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Example: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Example solution: 625
Example explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Problem: Problem: in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 22 overs to reach the target of 282 runs ?
| Solution: 11.36 | 5 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Teacher: The task is to generate the correct answer for a given math problem.
Teacher: Now, understand the problem? If you are still confused, see the following example:
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution: 625
Reason: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Now, solve this instance: Problem: 39 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ?
Student: | 26 | 2 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
The task is to generate the correct answer for a given math problem.
Ex Input:
Problem: 6 ) a marketing firm determined that , of 260 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ?
Ex Output:
c ) 30
Ex Input:
Problem: what is the range of all the roots of | x ^ 2 - 4 | = x ?
Ex Output:
3
Ex Input:
Problem: a person ' s present age is two - fifth of the age of his mother . after 4 years , he will be one - half of the age of his mother . how old is the mother at present ?
Ex Output:
| c ) 20
| 1 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
Detailed Instructions: The task is to generate the correct answer for a given math problem.
See one example below:
Problem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Problem: Problem: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 2 children and 6 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ?
Solution: | 5.5 % | 4 | NIv2 | task1726_mathqa_correct_answer_generation | 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.
The task is to generate the correct answer for a given math problem.
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Solution: 625
Why? Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
New input: Problem: the length of the bridge , which a train 130 metres long and travelling at 45 km / hr can cross in 30 seconds , is
Solution: | 245 m | 0 | NIv2 | task1726_mathqa_correct_answer_generation | fs_opt |
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