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

Home > Logic > Liars and Knights
Liars can figure (Posted on 2017-04-24) Difficulty: 3 of 5
The annual round-table meeting pf the L&K Island's government meeting requires quorum of 5 members.
(i). Assuming that there are n members present and each one declares:
"I'm sitting between 2 Liars."
Can you estimate how many of them are Liars?

Another Liar arrives and takes a seat between 2 members and declares:
"I'm sitting between 2 Liars."
Apparently he is coherent (i.e. he lies) no matter where he placed himself.

(ii). Knowing that, would you change your answer to question (i)?

See The Solution Submitted by Ady TZIDON    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: I am between two answers (spoiler) | Comment 2 of 4 |
(In reply to I am between two answers (spoiler) by Steve Herman)

I think the intention of

"Apparently he is coherent (i.e. he lies) no matter where he placed himself."

means to say that the newcomer could have consistently said what he said regardless of where he sat, meaning that there were no pairs of liars next to one another, where between which his seating would have made his statement inconsistent with his being a liar. So an understanding of the complete part ii, would mean there originally was the same number of liars as knights.

  Posted by Charlie on 2017-04-24 10:31:01
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information