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

Input: Consider Input: Problem: find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is 
Options: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 4 : 5 , e ) 2 : 3

Output: b


Input: Consider Input: Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 19 ! 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16

Output: a


Input: Consider Input: Problem: if the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 2 , what is the ratio of apples to cucumbers ? 
Options: a ) 6 : 5 , b ) 1 : 4 , c ) 4 : 3 , d ) 2 : 3 , e ) 5 : 4


Output: e