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

Ex Input:
Problem: among 600 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 ) 180

Ex Output:
e

Ex Input:
Problem: if w and y are both odd prime numbers and w < y , how many distinct positive integer factors does 2 wy have ?
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12

Ex Output:
d

Ex Input:
Problem: in the class of 40 students , 30 speak hindi and 20 speak english . what is the lowest possible number of students who speak both the languages ?
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30

Ex Output:
a