In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Input: Consider Input: Problem: village x has a population of 68000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? 
Options: a ) 15 , b ) 19 , c ) 11 , d ) 18 , e ) 13

Output: e


Input: Consider Input: Problem: how many multiples of 2 are there between 10 and 52 , 10 and 52 inclusive ? 
Options: a ) 27 , b ) 25 , c ) 24 , d ) 21 , e ) 22

Output: e


Input: Consider Input: Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 161 ? 
Options: a ) 2670 , b ) 2980 , c ) 3550 , d ) 4030 , e ) 4540


Output: d