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: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 28 !
Options: a ) 13 , b ) 10 , c ) 12 , d ) 14 , e ) 16

Ex Output:
a

Ex Input:
Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 75 per kg ?
Options: a ) 5 : 8 , b ) 3 : 1 , c ) 3 : 7 , d ) 9 : 5 , e ) 9 : 8

Ex Output:
b