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.

Input: Consider Input: Question: The difference of two numbers is 1565. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E

Output: Option E


Input: Consider Input: Question: Evaluate combination
100C98=100!/(98)!(2)!

 Option A: 4950

 Option B: 1510

 Option C: 4170

 Option D: 3170

 Option E: None of these

Output: Option A


Input: Consider Input: Question: Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true?
I. The maximum possible range of the set is greater than 33.
II. The median can never be an even number.
III. If y = 37, the average of the set will be greater than the median.

 Option A: I only

 Option B: I and II only

 Option C: I and III only

 Option D: III only

 Option E: I, II, and III


Output: Option E