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

[EX Q]: Problem: what is the greatest value of x such that 4 ^ x is a factor of 21 ! ? 
Options: a ) 5 , b ) 6 , c ) 3 , d ) 2 , e ) 4
[EX A]: b

[EX Q]: Problem: the ratio of football players , baseball players , soccer players , and basketball players in a school is 10 : 7 : 5 : 4 . how many athletes are in the school if 16 players are on the basketball team ? 
Options: a ) 40 , b ) 92 , c ) 104 , d ) 208 , e ) 80
[EX A]: c

[EX Q]: Problem: mrs . evans gave a test to her freshmen economics class , which has 30 students enrolled and 25 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ? 
Options: a ) 30 , b ) 28 , c ) 26 , d ) 22 , e ) 19
[EX A]:
d