perplexus.info :: Liars and Knights : Crime Commitment Conclusion

Crime Commitment Conclusion (Posted on 2013-08-12)

A crime has been committed and there are ten suspects. Precisely one of the suspects is a knight and the remaining nine are liars.

George said Arthur did it, Arthur said Bill did it, Bill said Chuck did it, Chuck said Fred did it, Eddie said Fred did it so Fred confessed and said that he did do it.

Harry said Eddie did it, Dave then confessed that he did do it- so John also confessed and said that he did it. Finally, Ian said that he didn't do it.

If George didn't do it, one of the ten suspects did do it - who committed the crime?

No Solution Yet Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

a better solution (spoiler)

| Comment 2 of 6 |

If Ian did it, then everybody is lying. But this is a contradiction, so Ian did not do it and he is the knight.

Everybody else is a liar. So, all accusations and confessions are false. The criminal must be somebody who is not accused or confessed, and that narrows it down to George and Harry. If George didn't do it (which is what the problem asks us to assume), then Harry did it. Final answer.

Edited on August 12, 2013, 3:11 pm

Posted by Steve Herman on 2013-08-12 15:06:38

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