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

Input: Consider 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

Output: c


Input: Consider Input: Problem: what is the square root of 3,249 ? 
Options: a ) a ) 18 , b ) b ) 9 , c ) c ) 45 , d ) d ) 62 , e ) e ) 57

Output: e


Input: Consider Input: Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ) , what is the smallest possible positive value of n ? 
Options: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150


Output: a