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

[EX Q]: Problem: if 7 and 6 are factors of 60 n , what is the minimum value of n ? 
Options: a ) 2 , b ) 3 , c ) 7 , d ) 14 , e ) 56
[EX A]: c

[EX Q]: Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 19 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? 
Options: a ) 1 / 10 , b ) 3 / 10 , c ) 1 / 2 , d ) 7 / 10 , e ) 29 / 100
[EX A]: e

[EX Q]: Problem: veena ranks 73 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ? 
Options: a ) 88 , b ) 108 , c ) 110 , d ) 90 , e ) 93
[EX A]:
a