In this task, you need to provide the correct option for a given problem from the provided options.

Input: Consider Input: Problem: a garrison of 400 men had a provision for 31 days . after 26 days 275 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? 
Options: a ) 16 days , b ) 45 days , c ) 10 days , d ) 17 days , e ) 18 days

Output: a


Input: Consider Input: Problem: how many of the positive factors of 56 , 96 and how many common factors are there in numbers ? 
Options: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 1

Output: c


Input: Consider Input: Problem: if p and q are both odd prime numbers andp < q , then how many different positive integer factors does 2 pqhave ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12


Output: d