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

Ex Input:
Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 114 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? 
Options: a ) 438 , b ) 436 , c ) 430 , d ) 442 , e ) 444

Ex Output:
c


Ex Input:
Problem: a jar contains 20 red , 20 blue , 6 yellow and 4 pink balls . if two balls are to be selected at random and without replacement , approximately what is the probability both of them to be the same colour ? 
Options: a ) 1 / 25 , b ) 1 / 15 , c ) 1 / 3 , d ) 1 / 2 , e ) 1

Ex Output:
c


Ex Input:
Problem: 100 people are attending a newspaper conference . 35 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? 
Options: a ) 21 , b ) 26 , c ) 28 , d ) 30 , e ) 32

Ex Output:

b