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.

[Q]: Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 9?

 Option A: 2

 Option B: 3

 Option C: 1

 Option D: 6

 Option E: 4
[A]: Option D


[Q]: 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
[A]: Option E


[Q]: Question: A semicircle has a radius of 11. What is the approximate perimeter of the semicircle?

 Option A: 45

 Option B: 51

 Option C: 57

 Option D: 63

 Option E: 69
[A]:
Option C