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

Example Input: Problem: if x and y are both odd prime numbers andx < y , then how many different positive integer factors does 2 xyhave ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 12 , e ) 8
Example Output: e

Example Input: Problem: a ratio between two numbers is 4 : 5 and their l . c . m . is 200 . the first number is 
Options: a ) 60 , b ) 40 , c ) 20 , d ) 15 , e ) none
Example Output: b

Example Input: Problem: local kennel has cats and dogs in the ratio of 6 : 8 . if there are 10 fewer cats than dogs , how many dogs are in the kennel ? 
Options: a ) 30 , b ) 35 , c ) 45 , d ) 50 , e ) 40
Example Output:
e