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 . 35000 . y joins in the business after 3 months with rs . 25000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 28 : 15 , b ) 29 : 16 , c ) 25 : 23 , d ) 14 : 15 , e ) none of these

Output: a


Input: Consider Input: Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 15 and the other one , that is cheaper , costs $ 10 . the factory holds a $ 140 worth stock of 13 modules . how many of the modules in the stock are of the cheaper kind ? 
Options: a ) 20 , b ) 25 , c ) 30 , d ) 11 , e ) 35

Output: d


Input: Consider Input: Problem: what is the greatest positive integer q such that 3 ^ q is a factor of 9 ^ 10 ? 
Options: a ) q = 5 , b ) q = 9 , c ) q = 10 , d ) q = 20 , e ) 30


Output: d