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

Example Input: Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 450 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Example Output: e

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

Example Input: Problem: x starts a business with rs . 56000 . y joins in the business after 4 months with rs . 44000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 21 : 11 , b ) 11 : 21 , c ) 22 : 23 , d ) 25 : 23 , e ) none of these
Example Output:
a