GATE Overflow Analytical and Spatial Aptitude 1: 1

Question

Each problem consists of three statements. Based on the first two statements, the third statement:

1. All the offices on the $21^{\text{th}}$ floor have wall-to-wall carpeting.
2. No wall-to-wall carpeting is blue.
3. Some of the offices on the $21^{\text{th}}$ floor has blue wall-to-wall carpeting.

If the first two statements are true, the third statement is?

• A. Might be true
• B. True
• C. Might be false
• D. False

Answer 1

All the offices on the $21^{\text{th}}$ floor has wall-to-wall carpeting. Now, none of the wall-to-wall carpeting is blue. So none of the offices on the $21^{\text{th}}$ floor  has blue wall-to-wall carpeting.
    
 So, the correct answer is $(D).$