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

Input: Consider Input: Problem: on a certain farm the ratio of horses to cows is 5 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 17 : 7 . after the transaction , how many more horses than cows would the farm own ? 
Options: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70

Output: c


Input: Consider Input: Problem: a jar contains 20 red , 20 blue , 6 yellow and 4 pink balls . if two balls are to be selected at random and without replacement , approximately what is the probability both of them to be the same colour ? 
Options: a ) 1 / 25 , b ) 1 / 15 , c ) 1 / 3 , d ) 1 / 2 , e ) 1

Output: c


Input: Consider Input: Problem: if three numbers in the ratio 3 : 2 : 5 be such that the sum of their squares is 1862 , the middle number will be 
Options: ['a ) 10', 'b ) 14', 'c ) 18', 'd ) 22', 'e ) 24']


Output: b