Logical Reasoning - Logical Problems - Discussion

Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.

10. 

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

[A]. true
[B]. false
[C]. uncertain

Answer: Option A

Explanation:

If no wall-to-wall carpeting is pink and all the offices have wall-to-wall carpeting, none of the offices has pink wall-to-wall carpeting.

Rashmi said: (Jan 27, 2012)  
Can any one please explain this?

Me :) said: (Mar 6, 2012)  
Ok so this is how it is:.

All the offices on the 9th floor have carpets.

But it says that none of the carpets are pink. So if no carpet is pink, then the carpets in 9th floor also cannot be pink becasue none of it can be pink.

Sundar said: (Jun 14, 2017)  
Answer is : "True".

Let me explain:

[1]. All the offices on the 9th floor have wall-to-wall carpeting.

Here, the statement itself very clear nothing to say more.

[2]. No wall-to-wall carpeting is pink.

Here, this statement reveals that "wall-to-wall carpet" cannot be pink in any floor or anywhere else.

Therefore,

[3]. None of the offices on the 9th floor has pink wall-to-wall carpeting.

Here, this statement reveals that "There are no offices in 9th floor having pink wall-to-wall carpeting".

If [1] & [2] are true then [3] also true.

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