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

Input: Consider Input: Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 156 per kg , the price of the third variety per kg will be ? 
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 178.50 , d ) rs . 258.50 , e ) none of these

Output: c


Input: Consider Input: Problem: if the ratio of a to b is 7 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? 
Options: a ) 4 / 15 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 15

Output: e


Input: Consider Input: Problem: set a consists of the integers from 1 to 12 , inclusive , while set b consists of the integers from 5 to 15 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 15 , e ) 9


Output: a