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

Ex Input:
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 150 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900

Ex Output:
c


Ex Input:
Problem: how many prime numbers between 1 and 100 are factors of 67830 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 3 , e ) 2

Ex Output:
c


Ex Input:
Problem: each man in a gang of 100 investors has investments ineither equities or securities or both . exactly 2525 of the investors in equities haveinvestments in securities , exactly 4040 of the investorsin securities have investments inequities . how many have investmentsin equities ? 
Options: a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 120

Ex Output:

b