Civil Service Exam Reviewer · Logical Reasoning · hard

Data sufficiency: Is Q a positive number? (1) Q² = 9. (2) Q³ = −27. 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

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

Solution

The answer is: Statement (2) ALONE is sufficient, but statement (1) alone is not. (1) Q could be 3 or −3 — not sufficient. (2) Q = −3, so the answer is a definite "no" — sufficient. (A definite "no" still answers the question.)

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