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Home > Logic > Liars and Knights
Turn Tease (Posted on 2012-08-27) Difficulty: 1 of 5
In a remote island, all the inhabitants are either knights, who always speak truthfully or liars, who always speak falsely.

Ten natives of the island are engaged in a conversation. A visitor from a nearby island approaches the natives and, asks them: "How many of you are knights?"

Each of the ten natives answer in turn: 3, 2, 5, 7, 3, 0, 4, 4, 3, 5

In reality, how many of the ten natives are knights?

No Solution Yet Submitted by K Sengupta    
Rating: 1.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Solution - simpler Comment 5 of 5 |
(In reply to re: Solution - simpler by Ady TZIDON)

I think if there were distinct n and m, where n is repeated n times and m is repeated m times, then the puzzle as it stands would be unsolvable, wouldn't it?
  Posted by Caleb on 2012-09-01 19:56:13

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