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. CORRECT

  2. WRONG

  3. UNCERTAIN

  4. NONE OF THESE
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If every office has carpet, and no carpet is pink, it is impossible for any office to have pink carpet. The third statement accurately reflects this logical exclusion.

AI explanation

To answer this question, let's go through each statement and determine if the third statement is correct or not.

Statement 1: All the offices on the 9th floor have wall-to-wall carpeting. This statement tells us that every office on the 9th floor has wall-to-wall carpeting.

Statement 2: No wall-to-wall carpeting is pink. This statement states that there is no wall-to-wall carpeting that is pink. In other words, none of the carpeting on the 9th floor is pink.

Now, let's analyze the third statement:

Statement 3: None of the offices on the 9th floor has pink wall-to-wall carpeting. Based on the information provided in the first two statements, we can conclude that this statement is correct. If all the offices on the 9th floor have wall-to-wall carpeting (as stated in Statement 1) and none of the carpeting is pink (as stated in Statement 2), then it follows that none of the offices on the 9th floor can have pink wall-to-wall carpeting.

Therefore, the correct answer is A) CORRECT.

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