perplexus.info :: Liars and Knights : 6 or less liars

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.

See The Solution Submitted by Ady TZIDON

Rating: 3.5000 (2 votes)

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re(6): solution

| Comment 9 of 17 |

(In reply to re(5): solution by Ady TZIDON)

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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