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

Ex Input:
Problem: 110 people are attending a newspaper conference . 45 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 ) 34 , b ) 32 , c ) 30 , d ) 26 , e ) 28

Ex Output:
d

Ex Input:
Problem: a certain bag contains 100 balls 50 white , 30 green , 10 yellow , 7 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?
Options: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5

Ex Output:
a

Ex Input:
Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 1200 . their h . c . f is ?
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60

Ex Output:
a