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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 neighborhood having 90 households , 11 did not have either a car or a bike . if 16 households had a both a car and a bike and 44 had a car , how many had bike only ?
Options: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10
Output:
| [
"b"
] | task1421-6eafd1e76c244198bd48db523ba87cd4 |
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 university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?
Options: a ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 315
Output:
| [
"e"
] | task1421-d016e16afa7249cb8e1e5c955b496d2d |
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 number of sailors on a ship is 82 % more than the number of officers . the ratio of sailors to officers would be
Options: a ) 33 : 25 , b ) 47 : 20 , c ) 47 : 25 , d ) 22 : 25 , e ) 91 : 50
Output:
| [
"e"
] | task1421-b22c0edc1ed64dc39e8bc178a418035e |
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 jar contains a mixture of ab in the ratio 3 : 2 . when 10 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially .
Options: a ) 18 , b ) 15 , c ) 16 , d ) 20 , e ) 25
Output:
| [
"a"
] | task1421-60b1def6cb704689b5d4688b26f16388 |
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 people , if 30 people were made to stand in each column , 16 columns could be formed . if 48 people were made to stand in a column , how many columns could be formed ?
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Output:
| [
"a"
] | task1421-291c8efa03df40718757b6695b62b756 |
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 50 kg metal bar made of alloy of tin and silver lost 5 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ?
Options: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3
Output:
| [
"e"
] | task1421-54bafe74243745fc9ec25461f4ac5314 |
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 3 numbers is 1 : 2 : 4 and the sum of their squares is 1701 . the sum of the numbers is ?
Options: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9
Output:
| [
"e"
] | task1421-2a58a80e684a43bab5d196d95c743df6 |
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 family 11 people eat only vegetarian , 6 people eat only non veg . , 9 people eat both veg and non veg . . how many people eat veg in the family ?
Options: a ) 20 , b ) 11 , c ) 9 , d ) 31 , e ) 21
Output:
| [
"a"
] | task1421-90eaf7492cc84072831b0dcbdcd76984 |
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 duplicate ratio of 1 : 4 is ?
Options: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 1 : 13
Output:
| [
"c"
] | task1421-4ac1e25a98ef48b687e8c1d1aba57756 |
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 rational number for recurring decimal 0.125125 . . . . is :
Options: a ) 125 / 990 , b ) 125 / 999 , c ) 125 / 900 , d ) 12 / 999 , e ) 12 / 990
Output:
| [
"b"
] | task1421-d75b36a02b134c018c3767e45b966179 |
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 number of stamps that p and q had were in the ratio of 7 : 2 respectively . after p gave q 15 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 2 : 1 . as a result of the gift , p had how many more stamps than q ?
Options: a ) 25 , b ) 35 , c ) 45 , d ) 55 , e ) 65
Output:
| [
"c"
] | task1421-4439cba883984b8fa3189a83fe099fc7 |
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: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 148 cookies , what percent of the cookies did ingrid bake ?
Options: a ) 0.125 % , b ) 1.25 % , c ) 31.7 % , d ) 125 % , e ) 0.152 %
Output:
| [
"c"
] | task1421-d4ec3756275e42edb3a82f34c27d07c0 |
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 must rice of rs . 30 per kg be mixed with rice of rs . 56 per kg so that cost of mixture is rs . 35 per kg ?
Options: a ) 28 : 15 , b ) 6 : 7 , c ) 7 : 6 , d ) 5 : 21 , e ) 21 : 5
Output:
| [
"e"
] | task1421-5e0c1c957a8b480ba06e5be7b64c23d3 |
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 1 : 3 , 1 : 2 and 1 : 5 ?
Options: a ) 1 : 30 , b ) 1 : 5 , c ) 1 : 7 , d ) 1 : 1 , e ) 1 : 6
Output:
| [
"a"
] | task1421-3b7e2eb6eb83442aba6f96f86ba59962 |
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 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 49 / 64 . how many marbles are in the bag ?
Options: a ) 24 , b ) 48 , c ) 60 , d ) 96 , e ) 84
Output:
| [
"d"
] | task1421-39c0ab7cb6a649b597aea827dffce67b |
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 person want to give his money of $ 1800 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ?
Options: a ) $ 700 , b ) $ 600 , c ) $ 900 , d ) $ 500 , e ) $ 400
Output:
| [
"b"
] | task1421-df96ae3d6f2e4766983ef0ece16ca210 |
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 between the sale price and the cost price of an article is 9 : 5 . what is the ratio between the profit and the cost price of that article ?
Options: a ) 23 , b ) 1 : 2 , c ) 4 : 5 , d ) 3 : 5 , e ) 25
Output:
| [
"c"
] | task1421-278519025c114c26bbc04158ce406922 |
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 180 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ?
Options: a ) 100 , b ) 104 , c ) 108 , d ) 112 , e ) 116
Output:
| [
"c"
] | task1421-7f4fe21e33da47e4b87a2e69951879ce |
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 family 13 people eat only vegetarian , 7 people eat only non veg . , 8 people eat both veg and non veg . . how many people eat veg in the family ?
Options: a ) 20 , b ) 11 , c ) 9 , d ) 31 , e ) 21
Output:
| [
"e"
] | task1421-1d4160ac615a463eba15159d48838d93 |
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 multiples of 7 are there between 10 and 100 ( both are inclusive ) ?
Options: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 21
Output:
| [
"b"
] | task1421-e1c3ab1b258d4cc0a5c6026ee3c06f86 |
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 quantity of 60 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ?
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 7
Output:
| [
"e"
] | task1421-190b78b884ed4d56b2c2cfcc856b1568 |
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 odd factors does 250 have ?
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Output:
| [
"b"
] | task1421-13f982ef18d64214a38e4143c8b860ab |
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 wheat costing rs . 3 per kg be mixed with another variety of wheat costing rs . 6.25 per kg to obtain a mixture costing rs . 4.50 per kg ?
Options: a ) 8 : 6 , b ) 7 : 6 , c ) 5 : 6 , d ) 7 : 5 , e ) 6 : 7
Output:
| [
"b"
] | task1421-9d53cf4781464f9899fe61611dddb366 |
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 : 3 : 4 and their sum is 108 . the second number of the three numbers is ?
Options: a ) 23 , b ) 27 , c ) 30 , d ) 32 , e ) 34
Output:
| [
"b"
] | task1421-42fe3819048a498fa2bc92269eb1332a |
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 the ratio of 5 : 7 . if 25 is subtracted from each number , they are in the ratio of 5 : 9 . what are the two numbers ?
Options: a ) 45 , 63 , b ) 50 , 70 , c ) 55 , 77 , d ) 60 , 84 , e ) 65 , 91
Output:
| [
"b"
] | task1421-22e3de6a08a4443994ddfafe6684dc86 |
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 108 grams of water ?
Options: a ) 16 , b ) 96 , c ) 112 , d ) 128 , e ) 142
Output:
| [
"b"
] | task1421-d65230bd8c7244e89b2521ef586104f8 |
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: of the diplomats who attended a summit conference : 20 spoke french , 32 did not speak hindi and 20 % of the diplomats spoke neither french nor hindi . if 10 % of the diplomats spoke both french and hindi , then how many diplomats attended the conference ?
Options: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150
Output:
| [
"d"
] | task1421-afc7f69bbeed46179f31e91e83c64630 |
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 certain zoo , the ratio of lions to penguins is 3 to 11 . if there are 82 more penguins than lions at the zoo , how many lions are there ?
Options: a ) 24 , b ) 30 , c ) 48 , d ) 72 , e ) 132
Output:
| [
"b"
] | task1421-83df2bd05c9c4fd39f9e20f59ed126ea |
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 boarders to day students at a school was originally 2 to 5 . however , after a number of new boarders join the initial 120 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ?
Options: a ) 30 , b ) 50 , c ) 70 , d ) 80 , e ) 90
Output:
| [
"a"
] | task1421-8c44fa8c8ab6458185ee076e21409fcd |
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 9 : 8 . if the income of the person is rs . 18000 , then find his savings ?
Options: a ) rs . 3600 , b ) rs . 3603 , c ) rs . 2000 , d ) rs . 3632 , e ) rs . 3602
Output:
| [
"c"
] | task1421-8e13d8e1d5bf42f19020ea32a468dea0 |
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 incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 1800 , then what is the income of p 1 ?
Options: a ) s . 800 , b ) s . 2400 , c ) s . 4000 , d ) s . 3200 , e ) s . 4500
Output:
| [
"e"
] | task1421-821db41bcacc4d4991766f9426f49642 |
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 marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,900 sedans in anytown , how many motorcycles are there ?
Options: a ) 1260 , b ) 2100 , c ) 3400 , d ) 4200 , e ) 5200
Output:
| [
"c"
] | task1421-726abe52cc8a418d97668f49b9ef23e7 |
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: local kennel has cats and dogs in the ratio of 6 : 8 . if there are 10 fewer cats than dogs , how many dogs are in the kennel ?
Options: a ) 30 , b ) 35 , c ) 45 , d ) 50 , e ) 40
Output:
| [
"e"
] | task1421-900526c7e9aa47488e20b13154134ec0 |
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 company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio q of revenue from car sales in 1996 to revenue from truck sales in 1996 ?
Options: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3
Output:
| [
"a"
] | task1421-ef5da87851524a73a4b30b3c286b5a81 |
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 100 cars , 37 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ?
Options: a ) 45 , b ) 47 , c ) 48 , d ) 49 , e ) 53
Output:
| [
"d"
] | task1421-8e629aef11b043d2b09d8a6952f7afa8 |
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 must wheat at rs . 3.20 pe rkg be mixed with wheat at rs . 2.90 per kg so that the mixture be worth rs . 3.08 per kg
Options: a ) 3 : 4 , b ) 3 : 2 , c ) 3 : 5 , d ) 3 : 7 , e ) 2 : 3
Output:
| [
"b"
] | task1421-23cf6c712fc946db8d6e3cbde1966fb5 |
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 greatest positive integer n such that 3 ^ n is a factor of 36 ^ 300 ?
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Output:
| [
"d"
] | task1421-4e6ebefe7a1942398b55387a65c99c92 |
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 w is the set of all the integers between 10 and 332 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ?
Options: a ) 111 , b ) 28 , c ) 160 , d ) 213 , e ) 107
Output:
| [
"d"
] | task1421-e64724163c39480fb9152de137392fba |
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 the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 3 , what is the ratio of apples to cucumbers ?
Options: a ) 4 : 9 , b ) 4 : 3 , c ) 3 : 7 , d ) 2 : 5 , e ) 1 : 6
Output:
| [
"a"
] | task1421-16bac8d15a4b43e4ab9cf9564455da0b |
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 12 slate rocks , 16 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?
Options: a ) 3 / 32 , b ) 7 / 64 , c ) 11 / 105 , d ) 15 / 127 , e ) 19 / 134
Output:
| [
"c"
] | task1421-4dfd347a7faa431ba182cfca38496a58 |
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 100 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 / 4,800 , c ) 3 / 1,600 , d ) 1 / 90 , e ) 2 / 45
Output:
| [
"b"
] | task1421-751e869643f2406aab5304087569a687 |
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 university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?
Options: a ) 216 , b ) 212 , c ) 214 , d ) 210 , e ) 120
Output:
| [
"a"
] | task1421-c1e8b08f0000458fac0d1472341059e3 |
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 days per calendar year is the month a factor of the day
Options: a ) 0 , b ) 1 , c ) 59 , d ) 90 , e ) 124
Output:
| [
"e"
] | task1421-614d9db51a694e698326b516c5426090 |
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 log 10 2 = 0.3010 , the value of log 10 80 is :
Options: a ) 1.5252 , b ) 1.903 , c ) 3.9252 , d ) 3.903 , e ) 2.5252
Output:
| [
"b"
] | task1421-a2aac59a6fd243168fb395d20096051f |
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 two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is ?
Options: a ) 22 , b ) 67 , c ) 40 , d ) 88 , e ) 11
Output:
| [
"c"
] | task1421-f15fc1fd52e642118f2d4776e3a4fc3d |
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 of the positive factors of 25 , 15 and how many common factors are there in numbers ?
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output:
| [
"b"
] | task1421-43b26331ef4f4f44b8ec8a142cf53415 |
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: doughnuts , cookies and muffins in a pastry shop are in the ratio of 5 : 3 : 1 . if there are 50 doughnuts , the number of muffins in the shop is : .
Options: a ) 25 , b ) 30 , c ) 10 , d ) 15 , e ) 20
Output:
| [
"c"
] | task1421-bf5af6e6ec54415c8bf3785a0fb31407 |
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 18 th highest price and the 25 th lowest price among the prices of the items sold , how many items were sold at the garage sale ?
Options: a ) 41 , b ) 42 , c ) 43 , d ) 44 , e ) 45
Output:
| [
"b"
] | task1421-279e5c9534914acaa3ab9bba276e32d2 |
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 42 white marbles . how many red marbles could be in bag a ?
Options: a ) 1 , b ) 3 , c ) 4 , d ) 10 , e ) 12
Output:
| [
"d"
] | task1421-c6afa4c8ca064519bedfef5aaeada38a |
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: of the diplomats attending a summit conference , 25 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ?
Options: a ) 72 , b ) 70 , c ) 108 , d ) 120 , e ) 150
Output:
| [
"b"
] | task1421-b0c00a1730894b7fbab132bd1aca06e4 |
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: 1024 people in village 720 speak tamil , 562 speak english while 346 speak both . person who don not speack english or tamil speak hindi . what is probibility that person speak hindi
Options: a ) 13 / 128 , b ) 12 / 128 , c ) 11 / 126 , d ) 11 / 127 , e ) 11 / 128
Output:
| [
"e"
] | task1421-1a4b4c18aa7d4e19b92f4ce47c76bc52 |
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 assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 8 and the other one , that is cheaper , costs $ 3 . the factory holds a $ 100 worth stock of 25 modules . how many of the modules in the stock are of the cheaper kind ?
Options: a ) 21 , b ) 20 , c ) 22 , d ) 23 , e ) 24
Output:
| [
"b"
] | task1421-332f13d93c334c8f99a9516b2d12980c |
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 175 girls , the total number of students in the college is ?
Options: a ) 562 , b ) 356 , c ) 455 , d ) 416 , e ) 512
Output:
| [
"c"
] | task1421-caf2275a179d4bfba22ecea60ade10dc |
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 survey was taken among 100 brainiacs . of those surveyed , twice as many brainiacs likerebus teasers as math teasers . if 18 brainiacs like both rebus teasers and math teasers and 4 like neither kind of teaser , how many brainiacs like math teasers but not rebus teasers ?
Options: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21
Output:
| [
"d"
] | task1421-360371ae48a440af8e2ab1035e8b83c7 |
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 monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 14000 , then find the annual income of a ?
Options: a ) rs . 420000 , b ) rs . 180000 , c ) rs . 201600 , d ) rs . 470400 , e ) none of these
Output:
| [
"d"
] | task1421-3caa26f6f29c4df99539b30f05d39652 |
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 town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 360 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ?
Options: ['a ) 96', 'b ) 108', 'c ) 120', 'd ) 132', 'e ) 140']
Output:
| [
"a"
] | task1421-8b469bbfc8f642709e7e8702c52e9678 |
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 760 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ?
Options: a ) 320 , b ) 345 , c ) 425 , d ) 475 , e ) 400
Output:
| [
"d"
] | task1421-0a9aab2871e94775ba6df91f37561a2f |
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 odd integers from 1 to 100 ( both inclusive ) have odd number of factors ?
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7
Output:
| [
"c"
] | task1421-3154e4803095483aa7042820f9030365 |
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 a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 126 kilograms . what is the student ' s present weight in kilograms ?
Options: a ) 82 , b ) 84 , c ) 86 , d ) 88 , e ) 90
Output:
| [
"c"
] | task1421-3a10b771c344439588515753a1b46b58 |
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: of the 65 cars on a car lot , 45 have air - bag , 30 have power windows , and 12 have both air - bag and power windows . how many of the cars on the lot have neither air - bag nor power windows ?
Options: a ) 8 , b ) 2 , c ) 10 , d ) 15 , e ) 18
Output:
| [
"b"
] | task1421-e2caa003ae2149e5874cf2034d6b9ff9 |
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 neighborhood , there are half as many beige houses as white houses , and 6 times as many white houses as brown houses . what is the ratio of the number of brown houses to the number of beige houses ?
Options: a ) 1 : 3 , b ) 1 : 9 , c ) 2 : 5 , d ) 5 : 3 , e ) 6 : 1
Output:
| [
"a"
] | task1421-95feb8281ac148e0a9894dc8c9caef7e |
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: rajat , vikas and abhishek are submitting questions in the ratio 7 : 3 : 2 . if total number of questions submitted by them is 24 . find the number of questions submitted by vikas .
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output:
| [
"d"
] | task1421-95c4ba313f1b4cc09a9b8739b4fc7ba0 |
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: forks , spoons , and knives in drawer are in the ratio of 4 : 4 : 3 . if there are 16 forks , the number of knives in the drawer is :
Options: a ) 8 , b ) 4 , c ) 12 , d ) 16 , e ) 14
Output:
| [
"c"
] | task1421-b599498ab417485989d0ac0234873c4e |
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 , 9 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 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 ) 7 , b ) 8 , c ) 14 , d ) 20 , e ) 28
Output:
| [
"a"
] | task1421-016344de2cdb46cc83925df974b4ae96 |
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 certain organisation , the number of male members went up by 12 % in the year 2001 from year 2000 , and the number of females members went down by 4 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ?
Options: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 2 , e ) 2 : 1
Output:
| [
"a"
] | task1421-1c8f9f3d2fb64f23b28f8c27fa5dab78 |
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 odd factors does 270 have ?
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Output:
| [
"b"
] | task1421-f750ccfd1ae54d3d99cebb4b62013255 |
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: 110 people are attending a newspaper conference . 45 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 ) 34 , b ) 32 , c ) 30 , d ) 26 , e ) 28
Output:
| [
"d"
] | task1421-985c9bd71924431c93c8276ba0b191a7 |
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 8 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ?
Options: a ) 45 , b ) 55 , c ) 65 , d ) 75 , e ) 85
Output:
| [
"b"
] | task1421-22186656a116432f83176d9e8329c239 |
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 number is said to be prime saturated if the product of all the different positive prime factors of g is less than the square root of g . what is the greatest two digit prime saturated integer ?
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Output:
| [
"d"
] | task1421-0d4763e4e8374782ae8ef285de5edba7 |
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 can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter w of liquid a was contained by the can initially ?
Options: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27
Output:
| [
"c"
] | task1421-f1c399f9673145b887c6738e03546c9e |
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 330 grams of compound x ?
Options: a ) 54 , b ) 162 , c ) 250 , d ) 275 , e ) 322
Output:
| [
"d"
] | task1421-4b2fd4c8132f4e2380cc121cebff61cc |
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 company 10 % of male staff are same in number as 1 / 4 th of the female staff . what is the ratio of male staff to female staff
Options: a ) 3 : 2 , b ) 5 : 2 , c ) 2 : 1 , d ) 4 : 3 , e ) 1 : 2
Output:
| [
"b"
] | task1421-0eacf85ca54c4dc49a30ebf7e1e598c8 |
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 ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.60 a kg to produce a mixture worth rs . 6.30 a kg
Options: a ) 2 : 0 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 2 , e ) 7 : 9
Output:
| [
"e"
] | task1421-3708abaa28b64a9fb6fb6c5aaed05dd2 |
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 the ratio 3 : 5 . if 9 is subtracted from each , the new numbers are in the ratio 12 : 23 . the smaller number is :
Options: a ) 15 , b ) 33 , c ) 58 , d ) 56 , e ) 91
Output:
| [
"b"
] | task1421-b8647dffbc3142b1aadad8fe60852298 |
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 8 engineers , 3 engineers have a phd degree ; the others have only an ms or bs degree . a team of 3 engineers is to be chosen which must have at least 1 engineer with a phd , how many different teams can be chosen ?
Options: a ) 56 , b ) 46 , c ) 64 , d ) 65 , e ) 10
Output:
| [
"b"
] | task1421-b6f2217f43204a14b82d81c72ae4a495 |
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 business with rs . 35,000 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ’ s contribution in the capital ?
Options: a ) 22378 , b ) 279889 , c ) 2788 , d ) 9000 , e ) 2882
Output:
| [
"d"
] | task1421-c1d55ece523140f1bc5d501cd9fbc853 |
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 100 ( both inclusive ) have even number of factors ?
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7
Output:
| [
"c"
] | task1421-668bd75337024a8cb49868074b9bd9d0 |
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: of the diplomats attending a summit conference , 17 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ?
Options: a ) 72 , b ) 96 , c ) 108 , d ) 120 , e ) 150
Output:
| [
"e"
] | task1421-941fb92748e8406ebd5b2f63504323d3 |
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 diluted wine contains only 8 liters of wine and the rest is water . a new mixture whose concentration is 30 % , is to be formed by replacing wine . how many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ?
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output:
| [
"b"
] | task1421-5e2785074e6a46ed80f42fa1f3721813 |
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 assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 6 . the factory holds a $ 80 worth stock of 12 modules . how many of the modules in the stock are of the cheaper kind ?
Options: a ) 20 , b ) 25 , c ) 10 , d ) 30 , e ) 35
Output:
| [
"c"
] | task1421-e9b2d06edb6d427799d3c1f67102e2d3 |
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: 6 ) a marketing firm determined that , of 160 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ?
Options: a ) a ) 15 , b ) b ) 20 , c ) c ) 30 , d ) d ) 40 , e ) e ) 5
Output:
| [
"e"
] | task1421-9ff1c1b32b464f66a350f5186f67e3cc |
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 the year 1990 there are 5000 men 3000 women 2000 boys . in 1994 men are increased by 20 % women are increased by ratio of boys and women ?
Options: a ) 11000 , b ) 12000 , c ) 13000 , d ) 14000 , e ) 15000
Output:
| [
"c"
] | task1421-9efbd1f696a6421f9d1f2c8c8ee9e50c |
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 two numbers is 48 . the numbers are in the ratio 1 : 3 . the sum of numbers is :
Options: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 64
Output:
| [
"e"
] | task1421-9ce876c018e3428188fed147b3d63bc7 |
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 numbers is 4 : 5 and their h . c . f is 4 . their l . c . m is :
Options: a ) 80 , b ) 16 , c ) 24 , d ) 48 , e ) 98
Output:
| [
"a"
] | task1421-73a3072c81e84f2580df3f96cda9cd8a |
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 5 : 2 , after 6 years rahul age will be 26 years . what is deepak present age .
Options: a ) 14 , b ) 15 , c ) 8 , d ) 22 , e ) 24
Output:
| [
"c"
] | task1421-d31b151b52b84af8b07de672fd03806c |
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 two numbers is 36 . the numbers are in the ratio 2 : 3 . then sum of the number is :
Options: a ) 28 , b ) 30 , c ) 40 , d ) 53 , e ) 54
Output:
| [
"b"
] | task1421-5e10efdeef6740bface63dbe02a059fd |
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 26 junior high school students , 7 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ?
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 8
Output:
| [
"c"
] | task1421-7ce6c2d2c2a8432ea222a6243e312cec |
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: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg
Options: a ) 175.59 , b ) 175.5 , c ) 175.57 , d ) 175.52 , e ) 175.11
Output:
| [
"c"
] | task1421-fe15af342c714a3180551961c9e0d5f6 |
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 m = 3 ^ n , what is the greatest value of n for which m is a factor of 31 !
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Output:
| [
"d"
] | task1421-85fbb55e6bc1406fbf5f2eb611535edf |
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 360 kilograms of pears that day , how many kilograms did he sell in the morning and how many in the afternoon ?
Options: a ) 560 , b ) 240 , c ) 329 , d ) 443 , e ) 544
Output:
| [
"b"
] | task1421-70ab81b1cdaf4257b5020264c97230ea |
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 : 2 , after 10 years rahul age will be 26 years . what is deepak present age
Options: a ) 14 , b ) 15 , c ) 12 , d ) 22 , e ) 8
Output:
| [
"e"
] | task1421-9f9b262cd5114fd1a20e9ce491f7ce33 |
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 between the present ages of a and b is 4 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ?
Options: a ) 3 : 4 , b ) 3 : 0 , c ) 3 : 1 , d ) 3 : 2 , e ) 9 : 5
Output:
| [
"e"
] | task1421-6021f5681fe040fd98ec52e4485ef3c3 |
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 quantities is 3 to 4 . if each of the quantities is increased 4 and 3 respectively , what is the ratio of these two new quantities ?
Options: a ) 3 / 4 , b ) 8 / 9 , c ) 18 / 19 , d ) 23 / 24 , e ) it can not be determined from the information given
Output:
| [
"e"
] | task1421-a4272ec0dbb0447eae78d27b848e1aca |
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 192 items that are members of set u . of these items , 49 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ?
Options: a ) 72 , b ) 85 , c ) 107 , d ) 98 , e ) 108
Output:
| [
"c"
] | task1421-35383bd8f3d148b3b2ed46f8c056c997 |
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 company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ?
Options: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3
Output:
| [
"a"
] | task1421-8110d72602104f2c95a0a2a10844f4a9 |
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 5 : 6 , 3 : 2 and 4 : 5 ?
Options: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 2 , d ) 1 : 1 , e ) 1 : 7
Output:
| [
"d"
] | task1421-63fc79c07ee945bf8ce556f5177275d5 |
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 value of log 2 16 is
Options: a ) 1 / 8 , b ) 4 , c ) 8 , d ) 16 , e ) 17
Output:
| [
"b"
] | task1421-70455760e5734a3fa2c9f110a1cd2bdb |
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 present ratio of students to teachers at a certain school is 50 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ?
Options: a ) 3 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output:
| [
"a"
] | task1421-2c5a0705c353449d89fb77d377f175bf |
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 the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 1 ounces of corn syrup , how many ounces of water does it contain ?
Options: a ) 15 , b ) 30 , c ) 45 , d ) 60 , e ) 90
Output:
| [
"a"
] | task1421-1c09a4e828654bd6b7927ba894cfb16c |
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 must a grocer mix two varieties of pulses costing rs . 15 and rs . 20 per kg respectively so as to get a mixture worth rs . 16.50 per kg ?
Options: a ) 3 : 7 , b ) 5 : 7 , c ) 7 : 3 , d ) 7 : 5 , e ) none
Output:
| [
"c"
] | task1421-17532de309a8490cb349d8ecabcbf4c6 |