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

Input: Consider Input: Problem: among 300 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 30 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? 
Options: a ) 30 , b ) 90 , c ) 120 , d ) 172 , e ) 188

Output: b


Input: Consider Input: Problem: what number has a 5 : 1 ratio to the number 11 ? 
Options: a ) 22 , b ) 50 , c ) 55 , d ) 52 , e ) 12

Output: c


Input: Consider Input: Problem: find the fraction which has the same ratio to 2 / 5 that 3 / 8 has to 1 / 5 
Options: a ) 1 / 15 , b ) 3 / 4 , c ) 5 / 8 , d ) 9 / 6 , e ) 8 / 7


Output: b