Multiple choice general knowledge

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 of the above

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

All 9th floor offices have wall-to-wall carpeting, and no wall-to-wall carpeting anywhere is pink. Therefore, it's impossible for any 9th floor office to have pink wall-to-wall carpeting. Statement 3 is a valid deduction combining the universal premise with the negative condition.