ISEE Mathematics Achievement Question 309: Answer and Explanation

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Question: 309

9. If m is an even integer, n is an odd integer, and p is the product of m and n, which of the following is always true?

  • A. p is a fraction.
  • B. p is an odd integer.
  • C. p is divisible by 2.
  • D. p is greater than zero.

Correct Answer: C

Explanation:

C Try Plugging In values that satisfy the question stem, and eliminate choices. It may be necessary to Plug In twice on must be true or always true questions. If m is an even number, let m = 2, and let n = 3 since it must be an odd integer. If p is the product of m and n, then p = (2)(3) = 6. Now check the choices. Eliminate (A) because p is not a fraction. Eliminate (B) as well since p is not an odd integer. Keep (C) because 6 is divisible by 2. Finally, keep (D) because 6 is greater than zero. Plug In again to compare the remaining choices. Perhaps keep one number the same, so n = 3, but make m = -2 instead of 2. Now p = (-2)(3) = -6. Choice (C) still works since -6 is divisible by 2, but (D) no longer works since p is less than zero. Since it is always true, the correct answer is (C).

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