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

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
c

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
a

Problem: the h . c . f . of two numbers is 38 and the other two factors of their l . c . m . are 12 and 10 . the larger of the two numbers is : 
Options: a ) 678 , b ) 456 , c ) 234 , d ) 476 , e ) 432

b