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 ^ 150 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Example Output: c

Example 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
Example Output: c

Example Input: Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 157 per kg , the price of the third variety per kg will be ? 
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 179.50 , d ) rs . 258.50 , e ) none of these
Example Output:
c