Multiple choice general knowledge math & puzzles

All the offices on the 9th floor have wall-to-wall carpeting. No wall-to-wall carpeting is pink. None of the offices on the 9th floor has pink wall-to-wall carpeting. If the first two statements are true, the third statement is

  1. true

  2. false

  3. uncertain

  4. none
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

This is a syllogism: If all 9th-floor offices have carpeting (A -> B) and no carpeting is pink (B -> ~C), then it logically follows that no 9th-floor office has pink carpeting (A -> ~C).

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