Civil Service Exam Reviewer · Logical Reasoning · hard

Assume the following statements are true: 1. Some prize winners are literary works. 2. No literary works are published works. Which of the following statements MUST be FALSE?

  1. No prize winners are published works.
  2. Some published works are not prize winners.
  3. All prize winners are published works.
  4. Some prize winners are not published works.

Answer

C. All prize winners are published works.

Solution

Some prize winners are literary works, and none of the literary works are published works, so some prize winners are not published works. Therefore "All prize winners are published works" must be false. Each of the other statements could be true in at least one situation that fits the premises.

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