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 vehicle is undergoing performance adjustments during a set of three trials on an 8-mile track. The first time it travels around the track at a constant rate of p miles per minute, the second time at a constant rate of p^2 miles per minute, and the third time at a constant rate of p^3 miles per minute. If the vehicle takes the same time to travel the first 18 miles of these trials as it does to travel the last 8 miles, how many minutes does it take to complete all three trials (not counting any time between trials)?

 Option A: 18

 Option B: 36

 Option C: 60

 Option D: 96

 Option E: 112 minutes

Output: Option E


Input: Consider Input: Question: A batsman scored 90 runs which included 2 boundaries and 7 sixes. What percent of his total score did he make by running between the wickets.

 Option A: 30%

 Option B: 40%

 Option C: 44.44%

 Option D: 60%

 Option E: 80%

Output: Option C


Input: Consider Input: Question: At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling rock on!, what are the chances that the next person who yellsrock on!will be a nerds?

 Option A: 1

 Option B: 1/2

 Option C: 1/4

 Option D: 1/3

 Option E: 1/6


Output: Option D