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 common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 210?

 Option A: 3

 Option B: 14

 Option C: 30

 Option D: 42

 Option E: 70

Output: Option D


Input: Consider Input: Question: I. a3 - 305 = 207,
II. b2 - 72 = -8 to solve both the equations to find the values of a and b?

 Option A: a > b

 Option B: a ≥ b

 Option C: a < b

 Option D: a ≤ b

 Option E: a = b or the relationship between a and b cannot be established.

Output: Option B


Input: Consider Input: Question: A sum fetched a total simple interest of Rs. 750 at the rate of 6 p.c.p.a. in 5 years. What is the sum?

 Option A: 2600

 Option B: 2500

 Option C: 2900

 Option D: 2800

 Option E: 2700


Output: Option B