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

Example Input: Problem: the compounded ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is : 
Options: a ) 1 : 2 , b ) 5 : 9 , c ) 2 : 1 , d ) 11 : 24 , e ) none
Example Output: c

Example Input: Problem: the marks obtained by vijay and amith are in the ratio 6 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? 
Options: a ) 1 : 5 , b ) 4 : 5 , c ) 9 : 5 , d ) 9 : 8 , e ) 9 : 7
Example Output: c

Example Input: Problem: what is the greatest positive integer w such that 3 ^ w is a factor of 9 ^ 10 ? 
Options: a ) 5 , b ) w = 9 , c ) w = 10 , d ) w = 20 , e ) w = 30
Example Output:
d