instruction:
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.
question:
Question: a, b, c and d are four consecutive numbers. If the sum of a and dis 113, what is the product of b and c?

 Option A: 2652

 Option B: 2578

 Option C: 2534

 Option D: 3192

 Option E: 4234
answer:
Option D


question:
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
answer:
Option E


question:
Question: From among the 34 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?

 Option A: 1122

 Option B: 1260

 Option C: 1060

 Option D: 1160

 Option E: 1460
answer:

Option A