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: Which of the following is closer to (23!+22!)/(23!-22!)?

 Option A: 49

 Option B: 36

 Option C: 25

 Option D: 16

 Option E: 1

Output: Option E


Input: Consider Input: Question: A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number N is

 Option A: 74

 Option B: N=75

 Option C: N=175

 Option D: N=680

 Option E: 690

Output: Option B


Input: Consider Input: Question: If the mean of numbers 28, x, 42, 78 and 104 is 62, then what is the mean of 128, 255, 280, 511, 1023 and x?

 Option A: 395

 Option B: 375.8

 Option C: 355

 Option D: 415

 Option E: 365


Output: Option B