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

Input: Consider 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

Output: e


Input: Consider Input: Problem: the probability of two events a and b are 0.25 and 0.40 respectively . the probability that both a and b occur is 0.20 . the probability that neither a nor b occur is _________ 
Options: a ) 0.45 , b ) 0.4 , c ) 0.55 , d ) 0.05 , e ) 0.6

Output: c


Input: Consider Input: Problem: 9 log 9 ( 6 ) = ? 
Options: a ) 1 , b ) 6 , c ) 3 , d ) 4 , e ) 5


Output: b