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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.

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(6): solution | Comment 9 of 16 |

Well, if you insist, all we need to know is in the statement:

"I get six distinct answers and deduce the true one."

In other words, there are 6 answers, 1 of which is true.  So 5 are untrue.  So there are 5 liars.

In fact, we don't even need to know what the question was.

 Posted by Steve Herman on 2015-11-15 12:35:46

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