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.
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Question: Question: If W is an integer greater than 6, which of the following must be divisible by 3?

 Option A: W(W+1

 Option B: N(N+2

 Option C: N(N+3

 Option D: N(N+4

 Option E: N(N+5

Answer: Option A


Question: Question: If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I. x > y
II. x > y > z
III. x = z

 Option A: I and II

 Option B: I only

 Option C: II only

 Option D: III only

 Option E: None

Answer: Option B


Question: Question: A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of B square inches. Which of the following equations must be true?

 Option A: 2W^2 + PW + 2B = 0

 Option B: 2W^2 − PW + 2B = 0

 Option C: 2W^2 − PW − 2B = 0

 Option D: W^2 + PW + B = 0

 Option E: W^2 − PW + 2B = 0

Answer:
Option B