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

Input: Consider Input: Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 22 ! 
Options: a ) 8 , b ) 10 , c ) 9 , d ) 14 , e ) 16

Output: c


Input: Consider Input: Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 9,800 sedans in anytown , how many motorcycles are there ? 
Options: a ) 2800 , b ) 2100 , c ) 3600 , d ) 4200 , e ) 5200

Output: a


Input: Consider Input: Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 48 . what is sum of the numbers ? 
Options: a ) 28 , b ) 56 , c ) 76 , d ) 84 , e ) 85


Output: a