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

Ex Input:
Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 9 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 7 , d ) 1 : 8 , e ) 1 : 9

Ex Output:
e


Ex Input:
Problem: the length of the ribbon was originally 55 cm . it was reduced in the ratio 11 : 7 . what is its length now ? 
Options: a ) 6 cm , b ) 12 cm , c ) 35 cm , d ) 44 cm , e ) none of these

Ex Output:
c


Ex Input:
Problem: a cat leaps 5 leaps for every 4 leaps of a dog , but 3 leaps of the dog are equal to 4 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ? 
Options: a ) 11 : 15 , b ) 15 : 11 , c ) 16 : 15 , d ) 15 : 16 , e ) 11 : 16

Ex Output:

d