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

Input: Consider Input: Problem: how many of the positive factors of 36 , 84 and how many common factors are there in numbers ? 
Options: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 6

Output: e


Input: Consider Input: Problem: a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ’ s contribution in the capital ? 
Options: a ) 6000 , b ) 9000 , c ) 9500 , d ) 12000 , e ) none

Output: b


Input: Consider Input: Problem: if both 7 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? 
Options: a ) 99 , b ) 147 , c ) 363 , d ) 1200 , e ) 1625


Output: b