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

Ex Input:
Problem: solution a is 30 % salt and solution b is 80 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? 
Options: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 2

Ex Output:
e


Ex Input:
Problem: in gabriel ' s sheep herd , every sheep has either fleas or lice or both . half of the sheep have lice , and 84 sheep have both pests . if 94 sheep have lice , how many sheep have only fleas ? 
Options: a ) 10 , b ) 20 , c ) 84 , d ) 94 , e ) 178

Ex Output:
a


Ex Input:
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive r integer factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12

Ex Output:

d