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: Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 5 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?

 Option A: 1 ≤ n ≤23

 Option B: 3 ≤ n ≤21

 Option C: 6 ≤ n ≤18

 Option D: 5 ≤ n ≤19

 Option E: 9 ≤ n ≤15

Output: Option C


Input: Consider Input: Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?

 Option A: 3m

 Option B: 5m

 Option C: 8m

 Option D: 2m

 Option E: 1m

Output: Option D


Input: Consider Input: Question: A man divides $8600 Among 5 Sons, 4 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?

 Option A: $200

 Option B: $1000

 Option C: $800

 Option D: $1200

 Option E: $400


Output: Option C