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

Ex Input:
Problem: in a sports club with 30 members , 17 play badminton and 18 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11

Ex Output:
a


Ex Input:
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 450 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900

Ex Output:
e


Ex Input:
Problem: two vessels contains equal number of mixtures milk and water in the ratio 5 : 2 and 6 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? 
Options: a ) 1 : 3 , b ) 9 : 13 , c ) 5 : 11 , d ) 11 : 3 , e ) 15 : 4

Ex Output:

d