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 positive integer e such that 3 ^ e is a factor of 9 ^ 10 ? 
Options: a ) e = 5 , b ) e = 9 , c ) e = 10 , d ) e = 20 , e ) 30
[EX A]: d

[EX Q]: Problem: 24 oz of juice p and 25 oz of juice v are mixed to make smothies x and y . the ratio of p to v in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ? 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
[EX A]: e

[EX Q]: Problem: what is the square root of 16 , divided by 2 ? 
Options: a ) 9 , b ) 2 , c ) 122 , d ) 6 , e ) 1
[EX A]:
b