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 certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates Z apply to what fraction of a week?

 Option A:  1/2

 Option B:  5/8

 Option C:  9/14

 Option D:  16/21

 Option E:  9/10

Output: Option C


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: If you keep rolling a pair of dice together till a sum of 5 or 7 is obtained, then what is the probability that a sum of 5 comes before a sum of 7?

 Option A: 5/5

 Option B: 4/5

 Option C: 3/5

 Option D: 2/5

 Option E: 1/5


Output: Option D