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

Ex Input:
Problem: a certain bag contains 60 balls 22 white , 18 green , 5 yellow , 6 red , and 9 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 ) 0.09 , b ) 0.15 , c ) 0.54 , d ) 0.75 , e ) 0.91

Ex Output:
d

Ex Input:
Problem: the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is :
Options: a ) 100 , b ) 120 , c ) 180 , d ) 140 , e ) 60

Ex Output:
d

Ex Input:
Problem: at a certain company , two - thirds of the employees had cell phones and two - fifths had pagers . if one - third of the employees had neither cell phones nor pagers then what fraction of the employees had both cell phones and pagers ?
Options: a ) 7 / 5 , b ) 6 / 11 , c ) 2 / 5 , d ) 1 / 3 , e ) 4 / 15

Ex Output:
c