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

[EX Q]: Problem: how many even integers from 1 to 200 ( both inclusive ) have even number of factors ? 
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7
[EX A]: e

[EX Q]: Problem: the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 100 , b ) 120 , c ) 180 , d ) 140 , e ) 60
[EX A]: d

[EX Q]: Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 70 percent of the test takers answered the second question correctly , and 5 percent of the test takers answered neither question correctly , what percent answered both correctly ? 
Options: a ) 60 % , b ) 65 % , c ) 70 % , d ) 75 % , e ) 80 %
[EX A]:
a