ISEE Mathematics Achievement Question 306: Answer and Explanation

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Question: 306

6. If J is an odd integer, which of the following must be true?

  • A. (J ÷ 3) > 1
  • B. (J - 2) is a positive integer.
  • C. 2 × J is an even integer.
  • D. J > 0

Correct Answer: C

Explanation:

C In this question, J is an odd integer, so Plug In an odd integer for J. Since this is a must be question, see if there is a number that would make the answer untrue. Plug In 1 for J to make (A) untrue, since is not greater than 1. This number for J will also eliminate (B) since 1 - 2 = -1, which is not a positive integer. Choice (C) is true since 2 × 1 = 2, which is an even integer. Eliminate (D) since J could be negative. For example, if J = -3, -3 is not greater than 0. Check that value for (C) to be sure it always works. Again, if J = -3, then 2 × -3 = -6, which is still an even integer. Since it always works, the correct answer is (C).

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