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: Square A is inscribed in circle B. If the perimeter of A is 32, what is the circumference of B?

 Option A: 6√ 2π

 Option B: 4√ 2π

 Option C: 8√ 2π

 Option D: 7√ 2π

 Option E: 5

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: n^(n/2)=4 is true when n=4 in the same way what is the value of n if n^(n/2) =8?

 Option A: 4

 Option B: 8

 Option C: 2

 Option D: 6

 Option E: 10


Output: Option B