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: A sum of Rs.96000 is divided into three parts such that the simple interests accrued on them for Eight, two and four years respectively may be equal. Find the amount deposited for 8 years.

 Option A: 14000

 Option B: 16000

 Option C: 12000

 Option D: 20000

 Option E: 13000

Output: Option C


Input: Consider Input: Question: If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 6, and k?

 Option A: one

 Option B: two

 Option C: three

 Option D: four

 Option E: five

Output: Option B


Input: Consider Input: Question: Which of the following triples of numbers have the same standard deviation as the numbers a, b, and c?
I. a-2, b-2, c-2
II. 0, a-b, c-b
III. a-4, b+5, c-1

 Option A: I only

 Option B: II only

 Option C: I and III only

 Option D: II and I only

 Option E: I, II, and III


Output: Option D