Civil Service Exam Reviewer · Logical Reasoning · hard

Data sufficiency: Is the triangle a right triangle? (1) Its sides measure 5 cm, 12 cm and 13 cm. (2) Its perimeter is 30 cm. 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) 5² + 12² = 13², so it is a right triangle — sufficient. (2) Many triangles have a perimeter of 30 cm (e.g., an equilateral one with 10-cm sides) — not sufficient.

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