In this task, you need to provide the correct option for a given problem from the provided options.
--------
Question: Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ) , what is the smallest possible positive value of n ? 
Options: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150

Answer: a


Question: Problem: how many even integers from 1 to 100 ( both inclusive ) have even number of factors ? 
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7

Answer: c


Question: Problem: if 80 percent of a class answered the first question on a certain test correctly , 55 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? 
Options: a ) 10 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 55 %

Answer:
e