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

Input: Consider Input: Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 36000 . what will be the ratio in which they should share the profit at the end of the year ?
Options: a ) 20 : 9 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 5 : 3

Output: a

Input: Consider Input: Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 19 !
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16

Output: a

Input: Consider Input: Problem: an alloy of zinc and copper contains the metals in the ratio 5 : 3 . the quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is :
Options: a ) 2 , b ) 9 , c ) 8 , d ) 7 , e ) 4
Output: c