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

Problem: in a graduating class of 236 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 144 , b ) 119 , c ) 113 , d ) 117 , e ) 31
d

Problem: the ratio between the sale price and the cost price of an article is 9 : 5 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 23 , b ) 1 : 2 , c ) 4 : 5 , d ) 3 : 5 , e ) 25
c

Problem: if n is the greatest positive integer for which 2 ^ n is a factor of 6 ! , then n = ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10

b