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Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability r this college graduate has a graduate degree ?
Options: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43
Output:
| [
"d"
] | task1421-60b038d1cc8242918fce751ea75b95b7 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 70 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ?
Options: a ) 3 / 16,000 , b ) 1 / 8,100 , c ) 7 / 48,000 , d ) 1 / 90 , e ) 2 / 45
Output:
| [
"c"
] | task1421-bf687805a8674a67932d2854edc4b6cf |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the overall ages of kumar , hathim and rahul is 93 years . 1 decade ago , the ratio of their ages was 2 : 3 : 4 . what is the current age of rahul ?
Options: a ) 38 , b ) 37 , c ) 34 , d ) 35 , e ) 33
Output:
| [
"a"
] | task1421-3d3272a50ab5422a8b71a73c62093be3 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 190 girls , the total number of students in the college is ?
Options: a ) 562 , b ) 356 , c ) 452 , d ) 494 , e ) 512
Output:
| [
"d"
] | task1421-1cd6294906ef405792456a3ac8faef16 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: what is the square root of 3,969 ?
Options: a ) a ) 18 , b ) b ) 9 , c ) c ) 45 , d ) d ) 63 , e ) e ) 81
Output:
| [
"d"
] | task1421-73ab8939e8214bffaa9e2608af5d6a1e |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: three numbers are in the ratio 4 : 5 : 6 and their product is 76680 . the largest number is
Options: a ) 30 , b ) 24 , c ) 26 , d ) 28 , e ) 22
Output:
| [
"b"
] | task1421-f01cc012d429484191449a2d3c61e2ac |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: how many factors does 35 ^ 2 have ?
Options: a ) 2 , b ) 8 , c ) 24 , d ) 25 , e ) 26
Output:
| [
"c"
] | task1421-7b4e4c42dfc843839c505ee016a47865 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: if g and d are both integers , g > d , and - 3 g > 19 , then the largest value of d would be ?
Options: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 8 , e ) - 10
Output:
| [
"d"
] | task1421-2ca4e26a6bf74d07bf57faa073374560 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: solution a is 30 % salt and solution b is 80 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ?
Options: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 2
Output:
| [
"e"
] | task1421-6407acf39d014b9f9721b514d08e4988 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 14 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ?
Options: a ) 6 , b ) 16 , c ) 20 , d ) 30 , e ) 174
Output:
| [
"c"
] | task1421-6c2c361051364ebeb54a4c7ddfac0c95 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 5 : 4 . the ratio of economy cars to sport utility vehicles is 3 : 2 . what is the ratio of luxury cars to sport utility vehicles ?
Options: a ) 9 : 8 , b ) 8 : 9 , c ) 6 : 5 , d ) 2 : 3 , e ) 1 : 2
Output:
| [
"c"
] | task1421-05692d44b39540a0bb639af3f104befb |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 400 girls , the total number of students in the college is
Options: a ) 1040 , b ) 920 , c ) 980 , d ) 720 , e ) 820
Output:
| [
"a"
] | task1421-0ccb4058284d40228f8922f12b5014a9 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: if 0.10 of a number is equal to 0.070 of another number , the ratio of the numbers is :
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 7 : 10 , d ) 20 : 3 , e ) 30 : 7
Output:
| [
"c"
] | task1421-6a7e5e8e42454c748483461e06013658 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 14 th highest price and the 21 st lowest price among the prices of the items sold , how many items were sold at the garage sale ?
Options: a ) 33 , b ) 34 , c ) 35 , d ) 36 , e ) 37
Output:
| [
"b"
] | task1421-99f9f060033d4148b5e346a9fab230a1 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a technology company made a $ 5 million profit on its first $ 15 million in sales and a $ 12 million profit on its next $ 30 million in sales . by what percent did the ratio of profit to sales increase from the first $ 15 million in sales to the next $ 30 million in sales ?
Options: a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %
Output:
| [
"b"
] | task1421-6364c0f3922741d1b51b03cb6fc405df |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a dog takes 2 leaps for every 3 leaps of a hare . if one leap of the dog is equal to 5 leaps of the hare , the ratio of the speed of the dog to that of the hare is :
Options: a ) 9 : 3 , b ) 3 : 10 , c ) 2 : 3 , d ) 6 : 3 , e ) 10 : 3
Output:
| [
"e"
] | task1421-f5a53e37ceb649f2b1eb234bc0a711d9 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the ratio of 2 numbers is 2 : 5 and their h . c . f . is 6 . their l . c . m . is ?
Options: a ) 20 , b ) 24 , c ) 52 , d ) 36 , e ) 60
Output:
| [
"e"
] | task1421-0d6d24bc3285438b9c25490b54d3133a |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a certain alphabet , 20 letters contain a dot and a straight line . 36 letters contain a straight line but do not contain a dot . if that alphabet has 60 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ?
Options: a ) 4 , b ) 3 , c ) 14 , d ) 20 , e ) 28
Output:
| [
"a"
] | task1421-9d62e52bc0e54037854c0f4013d7afef |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total t of the book ?
Options: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018
Output:
| [
"a"
] | task1421-8cbded988aaa4173984e6a8791d2e3f0 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: log 3 n + log 5 n what is 3 digit number n that will be whole number
Options: a ) 629 , b ) 729 , c ) 829 , d ) 125 , e ) 727
Output:
| [
"d"
] | task1421-0b5c44bc68cd4302937c24f253e93145 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: how many positive integers w between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ?
Options: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26
Output:
| [
"e"
] | task1421-0fd1ef6623144aacb932eaca0f1a8ed8 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in what ratio should a variety of rice costing rs . 6 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ?
Options: a ) 1 / 68 , b ) 62 / 89 , c ) 12 / 68 , d ) 11 / 84 , e ) 5 / 6
Output:
| [
"e"
] | task1421-05306ca455f54eb2b2e61215b9b8115f |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 156 per kg , the price of the third variety per kg will be ?
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 178.50 , d ) rs . 258.50 , e ) none of these
Output:
| [
"c"
] | task1421-bb19ab98fb4941cf95110f7c56eeb145 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the ratio , by volume , of bleach to detergent to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach ( b ) to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ?
Options: a ) 40 , b ) 60 , c ) 50 , d ) 30 , e ) 70
Output:
| [
"b"
] | task1421-c8bd10fc70e94d3f802332a3ee393ee1 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.8 , what is the probability that event b will occur ?
Options: a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.65
Output:
| [
"e"
] | task1421-7ddd9713aeaf47c38f0005209f4026a0 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3,200 circuit boards where 64 fail inspection ?
Options: a ) 72 , b ) 192 , c ) 456 , d ) 256 , e ) 264
Output:
| [
"c"
] | task1421-9c5bc3460006418da69d30cc7f952947 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the h . c . f . of two numbers is 20 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is :
Options: a ) 276 , b ) 280 , c ) 322 , d ) 345 , e ) 354
Output:
| [
"b"
] | task1421-7a67a041b1844fbeb781e88d65296807 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: two spheres of their radios in the ratio 4 : 3 . find its volumes ratio ?
Options: ['a ) 64 : 13', 'b ) 13 : 64', 'c ) 27 : 64', 'd ) 64 : 27', 'e ) none of them']
Output:
| [
"d"
] | task1421-6dd68f713c9246d3b0b356e4f8a35ece |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: on multiplying a number a by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result .
Options: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355
Output:
| [
"d"
] | task1421-09a059834d5243b79a7fa5b1adfae2c8 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 15 . the larger of the two numbers is :
Options: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 354
Output:
| [
"d"
] | task1421-cd7ff4f4446e41138f74ea6787b91d06 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: income and expenditure of a person are in the ratio 10 : 4 . if the income of the person is rs . 19000 , then find his savings ?
Options: a ) 79754 , b ) 87689 , c ) 59875 , d ) 11400 , e ) 87648
Output:
| [
"d"
] | task1421-e132ead0202b43508cc864ddf0ce334d |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the ratio of two cow a , b milk is 5 : 3.3 kg milk of cow a get distributed and 1 kg milk of cow b get distributed . now , 8 kg milk of cow b left . now what is the ratio of cow a and b left milk ?
Options: a ) 3 : 2 , b ) 4 : 3 , c ) 5 : 4 , d ) 6 : 5 , e ) 5 : 3
Output:
| [
"a"
] | task1421-5273e61124d74b72945069f57d532308 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: 24 oz of juice p and 25 oz of juice v are mixed to make smothies x and y . the ratio of p to v in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ?
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output:
| [
"e"
] | task1421-f1eb067c150246ab904553daffaee74a |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 4 : 1 . what is the ratio of luxury cars to sport utility vehicles ?
Options: a ) 9 : 8 , b ) 8 : 3 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2
Output:
| [
"b"
] | task1421-4cc788d4ba08436d802634d9ef636715 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 420 kilograms of pears that day , how many kilograms did he sell in the afternoon ?
Options: a ) 120 , b ) 180 , c ) 240 , d ) 280 , e ) 320
Output:
| [
"d"
] | task1421-7a6b914b82424b4d9ed6d8fb8e5659d6 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a school 10 % of the boys are same in number as 1 / 3 th of the girls . what is the ratio of boys to the girls in the school ?
Options: a ) 5 : 2 , b ) 2 : 3 , c ) 10 : 3 , d ) 3 : 7 , e ) 2 : 5
Output:
| [
"c"
] | task1421-2859611609f54f9791e4e3991b933960 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 24 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ?
Options: a ) 18 , b ) 19 , c ) 22 , d ) 20 , e ) 19
Output:
| [
"c"
] | task1421-98094e9b5f7546b2ab5be89b7b7bf28b |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: find the highest common factor of 36 and 84 .
Options: a ) 12 , b ) 10 , c ) 16 , d ) 19 , e ) 18
Output:
| [
"a"
] | task1421-a440ff3832eb49b8bac6c78d373aeadd |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.70 each . if a customer purchased both apples and bananas from the stand for a total of $ 7.30 , what total number of apples and bananas did the customer purchase ?
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Output:
| [
"b"
] | task1421-25d9a90717e945c38042e011e0f8d390 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is
Options: a ) 7 / 16 , b ) 7 / 12 , c ) 7 / 19 , d ) 7 / 12 , e ) 7 / 15
Output:
| [
"e"
] | task1421-0811014dafce49cc9482c99cf7646743 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a class of 50 students , 18 take chorus , 26 take band , and 2 take both chorus and band . how many students in the class are not enrolled in either chorus or band ?
Options: a ) 8 , b ) 12 , c ) 15 , d ) 16 , e ) 18
Output:
| [
"a"
] | task1421-4ba7102fbf834c3699f2e2332990dacf |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the ratio of three numbers is 5 : 1 : 4 and their sum is 1000 . the last number of the three numbers is ?
Options: a ) 24 , b ) 26 , c ) 27 , d ) 400 , e ) 30
Output:
| [
"d"
] | task1421-7d99bbc8c9c24c48a41a7f35f73a744f |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 4 for a dollar and the other at a rate of 6 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?
Options: a ) 1 : 4 , b ) 1 : 5 , c ) 2 : 3 , d ) 3 : 2 , e ) 2 : 5
Output:
| [
"d"
] | task1421-73d678de00044824bb02fae010af5a2d |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a certain school , the ratio of boys to girls is 5 to 17 . if there are 72 more girls than boys , how many boys are there ?
Options: a ) 27 , b ) 36 , c ) 45 , d ) 72 , e ) 108
Output:
| [
"e"
] | task1421-ab35b61f07884ec59be3a8d69baafece |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a certain bag contains 100 balls â € ” 50 white , 20 green , 10 yellow , 17 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?
Options: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5
Output:
| [
"d"
] | task1421-d6cdd38abe36488bb1f0d16d4f8b599c |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the h . c . f . of two numbers is 15 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is :
Options: a ) 225 , b ) 300 , c ) 299 , d ) 322 , e ) 345
Output:
| [
"a"
] | task1421-02796a0cf6054867aaddc3745fb11005 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a school 10 % of the boys are same in number as 1 / 2 th of the girls . what is the ratio of boys to the girls in the school ?
Options: a ) 5 : 1 , b ) 2 : 3 , c ) 1 : 4 , d ) 3 : 7 , e ) 2 : 5
Output:
| [
"a"
] | task1421-6d58e31405764402b0efd8b6f4230400 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 108 grams of compound x ?
Options: a ) 90 , b ) 162 , c ) 250 , d ) 270 , e ) 322
Output:
| [
"a"
] | task1421-6b1860be78674f018ea7b564b95fca13 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a study group consists of 4 english majors , 6 biological sciences majors , and 5 engineers . in how many ways can 3 english majors , 3 biological science majors and 3 engineers selected from the given group ?
Options: a ) 987 ways , b ) 346 ways , c ) 600 ways , d ) 200 ways , e ) 134 ways
Output:
| [
"d"
] | task1421-c2bb44fbf83046f8b7d71ea6276acec1 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the sub - duplicate ratio of 25 : 16 is
Options: a ) 4 : 3 , b ) 1 : 2 , c ) 1 : 3 , d ) 5 : 4 , e ) 2 : 3
Output:
| [
"d"
] | task1421-042a2b6647c3465e947e8dcedcf99321 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 50 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ?
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6
Output:
| [
"b"
] | task1421-16746d2bf4794f7595dd320425825553 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in what ratio should a 20 % methyl alcohol solution be mixed with a 50 % methyl alcohol solution so that the resultant solution has 40 % methyl alcohol in it ?
Options: a ) 1 : 3 , b ) 1 : 2 , c ) 2 : 3 , d ) 2 : 1 , e ) 3 : 1
Output:
| [
"b"
] | task1421-71c8728cbc1747bd9b2da6e6b43e9dae |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?
Options: a ) 31 : 1 , b ) 31 : 4 , c ) 31 : 8 , d ) 31 : 9 , e ) 31 : 2
Output:
| [
"d"
] | task1421-9108628974004b409874e3610069caec |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a group of 400 players some are outdoor players , some are indoor players and some plays both . 350 plays outdoors and 110 plays indoor . how many plays indoor as well as outdoor games .
Options: a ) 70 , b ) 60 , c ) 90 , d ) 100 , e ) 110
Output:
| [
"b"
] | task1421-0187cdde7cc541c186b87a358393cc1a |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the compound ratio of 2 : 3 , 3 : 2 and 4 : 5 ?
Options: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 4 : 5 , e ) 1 : 4
Output:
| [
"d"
] | task1421-324def29fd704ec489b10618562d5aa4 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: there are two positive numbers in the ratio 2 : 7 . if the larger number exceeds the smaller by 30 , then find the larger number ?
Options: a ) 42 , b ) 38 , c ) 44 , d ) 36 , e ) 46
Output:
| [
"a"
] | task1421-e8ee661b2d8a46c2a18d1ebb13a9bc25 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a group of 65 people , 40 like cricket , 10 like both cricket and tennis . how many like tennis ?
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
Output:
| [
"b"
] | task1421-c247a0691b8248debb756b754cf5e8b8 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number f of people surveyed by the company ?
Options: a ) 46 , b ) 80 , c ) f = 90 , d ) f = 100 , e ) 200
Output:
| [
"d"
] | task1421-a6214a98aa7346328e7b6f55264cf5f7 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a group of 400 readers who read science fiction or literacy works or both , 250 read science fiction and 230 read literacy works . how many read both science fiction and literacy works ?
Options: a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 110
Output:
| [
"b"
] | task1421-06ea67743e28489d9ef7582072c4dd82 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: ratio between rahul and deepak is 4 : 3 , after 4 years rahul age will be 32 years . what is deepak present age .
Options: a ) 14 , b ) 15 , c ) 20 , d ) 21 , e ) 24
Output:
| [
"d"
] | task1421-55a306a6f32a4328be7608568a42d679 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: praveen starts business with rs . 3220 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ?
Options: a ) s . 7500 , b ) s . 8000 , c ) s . 8280 , d ) s . 9000 , e ) s . 6000
Output:
| [
"c"
] | task1421-a554e84bbb624116be571d8ed456f15d |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: rs . 1581 is divided among a , b and c in the ratio 10 : 15 : 6 . what is the share of b ?
Options: a ) 306 , b ) 765 , c ) 700 , d ) 510 , e ) 520
Output:
| [
"a"
] | task1421-742cd3106f1f41daa1345825c8db35fb |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a and b have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4 . if they save rs . 1800 and rs . 1600 respectively , find the monthly income of b
Options: a ) rs . 3400 , b ) rs . 2700 , c ) rs . 1720 , d ) rs . 7200 , e ) rs . 8200
Output:
| [
"d"
] | task1421-ef4d04b14453493eaecc2bd545810257 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: two numbers are in respectively 20 % and 50 % more than a third number . the ratio of the two numbers is ?
Options: a ) 2 : 5 , b ) 1 : 2 , c ) 4 : 5 , d ) 3 : 7 , e ) 5 : 6
Output:
| [
"c"
] | task1421-027badbe89d34eae8455477b9ceb9f16 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: one fast typist type some matter in 2 hrs and another slow typist type the same matter in 3 hrs . if both do combine in how much time they will take to finish .
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Output:
| [
"c"
] | task1421-c87a4398a762446a9caa1c8e1e37b747 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the h . c . f . of two numbers is 63 and the other two factors of their l . c . m . are 11 and 17 . the larger of the two numbers is :
Options: a ) 3421 , b ) 2132 , c ) 1111 , d ) 4323 , e ) 1071
Output:
| [
"e"
] | task1421-f49dffe5b29046e68c93e1def1e400f2 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: 10 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?
Options: a ) 80 , b ) 160 , c ) 720 , d ) 1100 , e ) 1260
Output:
| [
"e"
] | task1421-bb3b824ac24a4e42908ad2f5292a8991 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the probability that event b occurs is 0.4 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event a will occur ?
Options: a ) 0.05 , b ) 0.45 , c ) 0.15 , d ) 0.5 , e ) 0.55
Output:
| [
"b"
] | task1421-0773df1ec8d1489194a0dcf077da9faf |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the marks obtained by vijay and amith are in the ratio 4 : 5 and those obtained by amith and abhishek in the ratio of 3 : 4 . the marks obtained by vijay and abhishek are in the ratio of ?
Options: a ) 3 : 4 , b ) 3 : 5 , c ) 6 : 5 , d ) 3 : 6 , e ) 3 : 8
Output:
| [
"b"
] | task1421-69add80589944e4ebcf08b0be48a7c16 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a zoo , the ratio of the number of cheetahs to the number 4 then what is the increase in the number of pandas ?
Options: a ) 2 , b ) 12 , c ) 5 , d ) 10 , e ) 15
Output:
| [
"b"
] | task1421-3083e8a1e7db4eb09cfc423ba3871415 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: between 100 to 200 how many no are divisible by both 3 and 2 and 100,200 are inclusive ?
Options: a ) 77 , b ) 78 , c ) 79 , d ) 80 , e ) 81
Output:
| [
"c"
] | task1421-298326bab4c647e9bfa31f03b819c82d |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 6000 . their h . c . f is ?
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 100
Output:
| [
"e"
] | task1421-89cba3d0dd2e4220b40a333e348cb44a |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the sum of the numbers is 98 . if the ratio between the first and the second be 2 : 3 and that between the second and third be 5 : 8 , then find the second number ?
Options: a ) 24 , b ) 30 , c ) 36 , d ) 42 , e ) 50
Output:
| [
"b"
] | task1421-6597b5ea31fc491383fd6814d583476f |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: what is the prime factors ’ number of 12 ?
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output:
| [
"b"
] | task1421-73bafd3ed0ae4f3b876b963d6a204ac0 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the l . c . m . of 2 numbers is 100 . the numbers are in the ratio 4 : 1 . find their product ?
Options: a ) 1200 , b ) 2000 , c ) 2500 , d ) 3200 , e ) 1250
Output:
| [
"c"
] | task1421-2b10ee8cb63743609d3183d3d5e7aebe |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a sports club with 35 members , 15 play badminton and 18 play tennis and 5 do not play either . how many members play both badminton and tennis ?
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output:
| [
"a"
] | task1421-77568909c0a04eb48099446ba0189046 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a garrison of 300 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 ?
Options: a ) 45 days , b ) 55 days , c ) 35 days , d ) 25 days , e ) 40 days
Output:
| [
"a"
] | task1421-06f993dfbe11451ab6623ac4379dc143 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: how many even integers from 1 to 50 ( both inclusive ) have even number of factors ?
Options: a ) 3 , b ) 14 , c ) 5 , d ) 6 , e ) 7
Output:
| [
"a"
] | task1421-79f6f2b2b3fb482d942f48ae0bb871b3 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: how many trailing zeroes does 49 ! + 50 ! have ?
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 22
Output:
| [
"b"
] | task1421-8fd1eceb5349450e89e377af8113b937 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 3.6 per pound , and german chocolate cost $ 3 per pound . if the total the she spent on chocolate was $ 36 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ?
Options: a ) 7 , b ) 8 , c ) 10 , d ) 15 , e ) 36 / 3
Output:
| [
"e"
] | task1421-8a887b5035b94019a811ce8fc4cd4306 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: 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 ?
Options: a ) 16 days , b ) 45 days , c ) 10 days , d ) 17 days , e ) 18 days
Output:
| [
"a"
] | task1421-4b0f4f94b0c3443bb7ee1a6e9b134f07 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a starts a business with $ 3500 . after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . b ' s contribution in the capital is
Options: a ) 7000 , b ) 9000 , c ) 8000 , d ) 9900 , e ) 7900
Output:
| [
"b"
] | task1421-6847452c57114d9ca54dd4c68a61eaf8 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: if two dice are thrown together , the probability of getting prime number on both dice is
Options: a ) 5 / 9 , b ) 1 / 9 , c ) 2 / 9 , d ) 4 / 9 , e ) 7 / 9
Output:
| [
"c"
] | task1421-65f9fbd521e747279e0169ea10cc9967 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: bucket p has thrice the capacity as bucket q . it takes 80 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p and q , having each turn together to fill the empty drum ?
Options: a ) 30 , b ) 45 , c ) 60 , d ) 80 , e ) 100
Output:
| [
"c"
] | task1421-5e69bf0cdacd42dbaa6f29a4af60e664 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: a group of people participate in some curriculum , 30 of them practice yoga , 25 study cooking , 15 study weaving , 6 of them study cooking only , 8 of them study both the cooking and yoga , 7 of them participate all curriculums . how many people study both cooking and weaving ?
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output:
| [
"d"
] | task1421-6da266a6358e4e5895e1dbe008e94981 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 144 grams of water ?
Options: a ) 16 , b ) 72 , c ) 112 , d ) 128 , e ) 142
Output:
| [
"d"
] | task1421-24711786e2cb425fae6150da9a82e97f |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: if 1 = 6 2 = 12 3 = 18 4 = 24 5 = 30 6 = 36 then 12 = ? hint : its a logic riddle not a mathematical riddle
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output:
| [
"b"
] | task1421-e904cfc62b2a4924bd181bbf4517eb53 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the ratio , by volume , of bleach ( b ) to detergent ( d ) to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ?
Options: ['a ) 60', 'b ) 50', 'c ) 40', 'd ) 80', 'e ) 70']
Output:
| [
"a"
] | task1421-93724202d42547898cdaa120d412a40a |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the ratio of the number of females to males at a party was 1 : 2 but when 5 females and 5 males left , the ratio became 1 : 3 . how many people were at the party originally ?
Options: a ) 26 , b ) 28 , c ) 30 , d ) 32 , e ) 34
Output:
| [
"c"
] | task1421-3f1f3be2c9cd432c9d13656584495328 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: 200 college students were asked in a survey if they preferred windows or mac brand computers . 70 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 80 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ?
Options: a ) 25 , b ) 50 , c ) 57 , d ) 60 , e ) 75
Output:
| [
"b"
] | task1421-44b5d3eb2e1a4d368d6188812f8c65da |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 80 percent of the republicans and 25 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ?
Options: a ) 2 % , b ) 5 % , c ) 16 % , d ) 20 % , e ) 25 %
Output:
| [
"c"
] | task1421-3392d764d5d74332b43f0437d52d4337 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a class of 45 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ?
Options: a ) 30 , b ) 10 , c ) 18 , d ) 23 , e ) 32
Output:
| [
"d"
] | task1421-878519b1c10144b387defc62e7eaa80e |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 30 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ?
Options: a ) 2 / 3 , b ) 3 / 5 , c ) 3 / 10 , d ) 8 / 15 , e ) 11 / 30
Output:
| [
"d"
] | task1421-ae27f3414e5545a0b2cf4ac802429fa9 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 36 white marbles . how many red marbles could be in bag a ?
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Output:
| [
"e"
] | task1421-1fe866dbed1e40e7879a4464c9cee797 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a school 10 % of the boys are same in number as 1 / 5 th of the girls . what is the ratio of boys to the girls in the school ?
Options: a ) 5 : 2 , b ) 2 : 3 , c ) 1 : 2 , d ) 3 : 7 , e ) 2 : 5
Output:
| [
"c"
] | task1421-75ff95e027484d3c9df97ccb55d19587 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: how many factors of 440 are odd numbers greater than 1 ?
Options: a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output:
| [
"a"
] | task1421-d67ed9e0d5b74e59937cbd27a127716b |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: how many prime numbers between 1 and 100 are factors of 1771 ?
Options: a ) 2 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Output:
| [
"e"
] | task1421-6c1bdd20f43140799d30a25154215f65 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: in a class total 34 students , 16 are have a brother , 15 are have sisters , 9 students do n ' t have either brothers or sisters . find the number of students having both brother and sisters .
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output:
| [
"c"
] | task1421-2b012f099b0e48a28619816d52848f9c |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: what is the square root of 3,249 ?
Options: a ) a ) 18 , b ) b ) 9 , c ) c ) 45 , d ) d ) 62 , e ) e ) 57
Output:
| [
"e"
] | task1421-97a83b7e9b624aeeb7d9b8026f9dee02 |
Definition: In this task, you need to provide the correct option for a given problem from the provided options.
Positive Example 1 -
Input: Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Options: a ) 5 : 1 , b ) 30 : 2 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: b
Positive Example 2 -
Input: Problem: if 6 and 8 are factors of 60 n , what is the minimum value of n ?
Options: a ) 2 , b ) 4 , c ) 7 , d ) 14 , e ) 56
Output: b
Negative Example 1 -
Input: Problem: 100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Options: a ) 21 , b ) 24 , c ) 28 , d ) 30 , e ) 32
Output: d
Negative Example 2 -
Input: Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin
Options: a ) 9 , b ) 24.8 , c ) 2 , d ) 3 , e ) 5
Output: b
Now complete the following example -
Input: Problem: the ratio of 2 numbers is 1 : 2 and their h . c . f . is 10 . their l . c . m . is ?
Options: a ) 10 , b ) 20 , c ) 30 , d ) 50 , e ) 40
Output:
| [
"b"
] | task1421-1b903106f59a4b3189c43f9671ca75f2 |