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6 or less liars (Posted on 2015-11-13) Difficulty: 1 of 5
In a small village there are two kinds of people: liars and truthtellers.
Everybody knows everybody and everybody knows as well who is a liar and who’s a truth-teller.
I approach six villagers and pose the same question to each of them:
"How many liars are among you?"

I get six distinct answers (integers, of course) and deduce the true one.

How many liars are in that group?

Liars always lie and truthtellers never do.

See The Solution Submitted by Ady TZIDON    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re(2): solution | Comment 4 of 16 |
(In reply to re: solution by Ady TZIDON)

I agree with Charlie's solution just as written.  With 6 different answers, there are 5 or 6 liars.  If there were six, the answers would have been 0, 1, 2, 3, 4, 5, which is also consistent with 5 liars, so the truth cannot be deduced.  Therefore, the answers were not  0, 1, 2, 3, 4, 5.  Therefore, there were not 6 liars.  Therefore, there were 5 liars.  The answers must have been 5, 6 and four other numbers between 0 and 4.
  Posted by Steve Herman on 2015-11-15 07:39:15

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