In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Example Input: Problem: the average ( arithmetic mean ) of 4 positive integers is 50 . if the average of 2 of these integers is 35 , what is the greatest possible value that one of the other 2 integers can have ?
Options: a ) 55 , b ) 65 , c ) 100 , d ) 109 , e ) 129
Example Output: e

Example Input: Problem: 5 / 4 of all married couples have more than one child . 2 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ?
Options: a ) 1 / 5 , b ) 1 / 4 , c ) 17 / 20 , d ) 3 / 5 , e ) it can not be determined from the given information .
Example Output: c

Example Input: Problem: 18 men shake hands with each other . maximum no of handshakes without cyclic handshakes .
Options: a ) 190 , b ) 153 , c ) 210 , d ) 220 , e ) 230
Example Output:
b