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 6 or less liars (Posted on 2015-11-13)
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.

 Submitted by Ady TZIDON Rating: 2.0000 (1 votes) Solution: (Hide) Short answer: The 6 distinct answers imply that there were either 5 or 6 liars in the group. Although the asker could deduce the correct partition (T, L) the puzzle solvers can't determine the number of liars in the group - either 5 or 6. Full explanation - see my comment (#11)

 Subject Author Date re(4): Summing up - spoiler Ady TZIDON 2015-11-17 19:20:05 The official solution Ady TZIDON 2015-11-17 10:59:04 re(3): Summing up - spoiler Charlie 2015-11-17 10:57:38 re(2): Summing up - spoiler Ady TZIDON 2015-11-17 10:41:00 re: Summing up - spoiler Dej Mar 2015-11-17 03:43:08 Summing up - spoiler Ady TZIDON 2015-11-16 13:42:45 re(4): solution Charlie 2015-11-15 18:39:50 re(6): solution Steve Herman 2015-11-15 12:35:46 re: solution Ady TZIDON 2015-11-15 10:58:28 re(5): solution Ady TZIDON 2015-11-15 10:56:52 re(4): solution Steve Herman 2015-11-15 09:23:52 re(3): solution Ady TZIDON 2015-11-15 09:10:48 re(2): solution Steve Herman 2015-11-15 07:39:15 re: solution Dej Mar 2015-11-15 05:04:21 re: solution Ady TZIDON 2015-11-14 18:53:21 solution Charlie 2015-11-13 10:50:54

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