You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Ex Input:
Question: The average marks of a class of 35 students is 45 and that of another class of 55 students is 65. Find the average marks of all the students?

 Option A: 52.6

 Option B: 52.4

 Option C: 52.1

 Option D: 57

 Option E: 52.9

Ex Output:
Option D


Ex Input:
Question: Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is:

 Option A: 20

 Option B: 21

 Option C: 28

 Option D: 32

 Option E: None

Ex Output:
Option C


Ex Input:
Question: Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following W must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z.

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and III only

 Option E: W=None of the above

Ex Output:

Option E