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

Input: Consider 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

Output: b


Input: Consider Input: Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3200 circuit boards where 64 fail inspection ? 
Options: a ) 72 , b ) 192 , c ) 456 , d ) 256 , e ) 264

Output: c


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


Output: e