Civil Service Exam Reviewer · Logical Reasoning · medium

Data sufficiency: x is an integer. Is x even? (1) 3x is even. (2) x² > 4. Which of the following is correct?

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements TOGETHER are sufficient, but NEITHER alone is.
  4. The statements are NOT sufficient, even when taken together.

Answer

A. Statement (1) ALONE is sufficient, but statement (2) alone is not.

Solution

The answer is: Statement (1) ALONE is sufficient, but statement (2) alone is not. (1) If 3x is even, x must be even (an odd number times 3 is odd) — sufficient. (2) x² > 4 allows both odd and even values (3 or 4) — not sufficient.

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