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

Example Input: Problem: the ratio of three numbers is 5 : 3 : 4 and their sum is 108 . the second number of the three numbers is ?
Options: a ) 23 , b ) 27 , c ) 30 , d ) 32 , e ) 34
Example Output: b

Example Input: Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 11 and 12 . the larger of the two numbers is :
Options: a ) 338 , b ) 276 , c ) 322 , d ) 231 , e ) 121
Example Output: b

Example Input: Problem: the ratio of two quantities is 5 to 6 . if each of the quantities is increased by 15 , what is the ratio of these 2 new quantities ?
Options: a ) 5 : 6 , b ) 25 : 27 , c ) 15 : 16 , d ) 20 : 21 , e ) it can not be determined from the information given
Example Output:
e