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

[Q]: Problem: a technology company made a $ 5 million profit on its first $ 15 million in sales and a $ 12 million profit on its next $ 30 million in sales . by what percent did the ratio of profit to sales increase from the first $ 15 million in sales to the next $ 30 million in sales ? 
Options: a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %
[A]: b


[Q]: Problem: set a consists of the integers from 4 to 17 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 12
[A]: e


[Q]: Problem: how many different positive integers are factors of 20 ? 
Options: a ) 6 , b ) 8 , c ) 4 , d ) 10 , e ) 12
[A]:
c