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 greatest number that divides 180, 565 and 705 leaving remainder 5, 5 and 5 respectively is:

 Option A: 31

 Option B: 33

 Option C: 35

 Option D: 38

 Option E: 39

Output: Option C


Input: Consider Input: Question: find two integers, neither of which ends in a zero, and whose product is exactly 10,000

 Option A: 64 and 15,625

 Option B: 60 and 15,625

 Option C: 64 and 15,620

 Option D: 16 and 625

 Option E: 64 and 16,625

Output: Option D


Input: Consider Input: Question: Average Age of residents of a colony is 38 years with Standard deviation of 5 years
If Mr.X's age lies within 2 SD from mean and Mr.Y's age lies within 1 SD from mean then find
maximum values of (X/Y) = ?

 Option A: 48/38

 Option B: 48/43

 Option C: 48/33

 Option D: 38/33

 Option E: 48/35


Output: Option C