Task: Question Answering
Input (English): Problem: x is the product of each integer from 1 to 100 , inclusive and y = 100 ^ k , where k is an integer . what is the greatest value of k for which y is a factor of x ? 
Options: a ) 5 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Output (English): e