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: john would make the 3 - letter codes with 26 alphabets in condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and both are consonant . how many cases of the codes are there ? 
Options: a ) 1,980 , b ) 2,020 , c ) 2,100 , d ) 2,200 , e ) 2,500
Output: 


Output: c