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 100 ( both inclusive ) have even number of factors ? 
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7
[EX A]: c

[EX 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 %
[EX A]: b

[EX Q]: Problem: one lady has 2 children , one of her child is boy , what is the probability of having both are boys 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 3 / 4
[EX A]:
a