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

Example Input: Problem: local kennel has cats and dogs in the ratio of 6 : 12 . if there are 24 fewer cats than dogs , how many dogs are in the kennel ? 
Options: a ) 50 , b ) 48 , c ) 52 , d ) 54 , e ) 56
Example Output: b

Example Input: Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 216 , b ) 212 , c ) 214 , d ) 210 , e ) 120
Example Output: a

Example Input: Problem: the l . c . m . of 2 numbers is 72 . the numbers are in the ratio 2 : 3 . find their sum ? 
Options: a ) 36 , b ) 40 , c ) 48 , d ) 60 , e ) 56
Example Output:
d