All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic > Liars and Knights
Find the killer (Posted on 2016-06-20) Difficulty: 3 of 5
British puzzle creator Hubert Phillips invented this genre of puzzle in the 1930s.

I have slightly modified a puzzle attributed to H.P. (a.k.a. Caliban).

One of five people is a murderer.
Here are their statements:
Bernie: Becky didn’t do it.
Benny: Betty did it.
Bella: Becky is innocent.
Betty: Becky did it.
Becky: I did not do it.

Can you identify the killer?

Given k people, including the killer, lied – provide your answers and reasoning for all possible values of k.

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Answers | Comment 4 of 5 |
If Bernie is the killer, then he told the truth. Since the killer lied, Bernie did not do it. Similarly, Bella is innocent. If Benny did it, then he and Betty lied. If Betty did it, then she is the only liar. If Becky did it, then everybody except Betty lied. Therefore, k=1, 2, or 4.

  Posted by Math Man on 2016-06-25 07:00:41
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information