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: John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. How many miles did John drive?

 Option A: 235 miles.

 Option B: 245 miles.

 Option C: 225 miles.

 Option D: 265 miles.

 Option E: 275 miles.

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: Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 20 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 20 meters. What distance is she from the starting point and in which direction?

 Option A: 20 m East

 Option B: 40 m North

 Option C: 30 m West

 Option D: 40 m East

 Option E: 20 m West


Output: Option D