Civil Service Exam Reviewer · Logical Reasoning · hard

Data sufficiency: How many employees work in the office? (1) There are 12 women in the office. (2) Women make up 40% of the employees. 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

C. BOTH statements TOGETHER are sufficient, but NEITHER alone is.

Solution

The answer is: BOTH statements TOGETHER are sufficient, but NEITHER alone is. (1) alone gives only the women; (2) alone gives only a percentage. Together: 12 = 40% of total, so total = 12 ÷ 0.40 = 30 — sufficient.

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