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

Example Input: Problem: the duplicate ratio of 3 : 4 is ? 
Options: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 9 : 16 , e ) 1 : 13
Example Output: d

Example Input: Problem: the number of stamps that p and q had were in the ratio of 7 : 4 respectively . after p gave q 8 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 6 : 5 . as a result of the gift , p had how many more stamps than q ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 20
Example Output: b

Example Input: Problem: the ratio of two quantities is 4 : 3 . if each of the quantities is decreased by 8 , their ratio changes to 3 : 1 then the smallest number is ? 
Options: a ) 5.2 , b ) 6.9 , c ) 9.6 , d ) 7.8 , e ) 4.7
Example Output:
c