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

Example Input: Problem: out of 450 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? 
Options: a ) 75 , b ) 100 , c ) 125 , d ) 150 , e ) none of these
Example Output: b

Example Input: Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 8 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 5 , d ) 1 : 4 , e ) 1 : 3
Example Output: d

Example Input: Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 84 . what is sum of the numbers ? 
Options: a ) 49 , b ) 56 , c ) 76 , d ) 84 , e ) 85
Example Output:
a