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Q: Critical Thinking Question ( Answered,   1 Comment )
Question  
Subject: Critical Thinking Question
Category: Arts and Entertainment > Books and Literature
Asked by: nyspqr-ga
List Price: $10.00
Posted: 22 Nov 2005 20:31 PST
Expires: 22 Dec 2005 20:31 PST
Question ID: 596575
I have a mind teaser that someone asked me that I need answered. 
Please help me figure this out:

While sitting in a club where all single men tell the truth and all
married men lie, a woman is approached by three men. She asks the
first guy if he is married, but the music is so loud that she can't
hear his answer. So she turns to the second guy, who tells her, "The
first guy said, 'I am married,' but he really is single." Then she
turns to the third guy, who says, "The second guy is single."
Determine the marital status of each of the three men.

If you could help we work out this answer, that would be great. 
Please provide how you obtained the answer in as much detail as possible. :)

Thanks,

Mike P.

Request for Question Clarification by pinkfreud-ga on 22 Nov 2005 20:54 PST
All three of the men are married.

Here's how I worked it out:

Anyone in the bar who is asked his marital status will say that he is
single. All single men tell the truth, so if you ask a single man his
marital status, he will say he is single. All married men lie, so if
you ask a married man his marital status, he, too, will say he is
single.

Since the second man claimed that the first man's answer was that he
was married, the second man is obviously lying (and is therefore
married). Remember, in this bar NOBODY can give the answer "I am
married." If the second man is lying about the marital status of the
first man, this means that the first man is married.

The third man says that the second man is single. We know that this
can't be true, since the second man is a liar. Therefore the third man
is also lying, and is also married.

Does that work for you? If so, I'll be glad to post it as your official answer.

Clarification of Question by nyspqr-ga on 23 Nov 2005 16:56 PST
Thanks, That asnwers my question.  Thanks for your time! :)
Answer  
Subject: Re: Critical Thinking Question
Answered By: pinkfreud-ga on 23 Nov 2005 17:08 PST
 
I'm glad to have been able to help you with this! I enjoy this kind of
brain-teaser. I've reposted my answer below.

----------------------------------------------------------------------

All three of the men are married.

Here's how I worked it out:

Anyone in the bar who is asked his marital status will say that he is
single. All single men tell the truth, so if you ask a single man his
marital status, he will say he is single. All married men lie, so if
you ask a married man his marital status, he, too, will say he is
single.

Since the second man claimed that the first man's answer was that he
was married, the second man is obviously lying (and is therefore
married). Remember, in this bar NOBODY can give the answer "I am
married." If the second man is lying about the marital status of the
first man, this means that the first man is married.

The third man says that the second man is single. We know that this
can't be true, since the second man is a liar. Therefore the third man
is also lying, and is also married.

----------------------------------------------------------------------

If you like logic puzzles, I recommend these books by Raymond
Smullyan. They'll make your head spin (which is a good thing, since
spinning tends to stimulate the smarteries):

To Mock a Mockingbird
http://www.amazon.com/gp/product/0192801422

What Is the Name of This Book?
http://www.amazon.com/gp/product/0139550623

Best regards,
pinkfreud
Comments  
Subject: Re: Critical Thinking Question
From: myoarin-ga on 23 Nov 2005 09:33 PST
 
It worked for me!

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