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

Home > Logic > Liars and Knights
Nine Native Narrative (Posted on 2010-02-06) Difficulty: 3 of 5
A very special island is inhabited only by knights and liars. Knights always tell the truth, and liars always lie.

Nine inhabitants of the island: Mel, Bart, Sue, Betty, Rex, Zeke, Sally, Zoey and Homer are busy at a conversation. A visitor from a neighboring island stops by and asks each of the nine inhabitants their respective identities. They say:

  • Mel: "Only a liar would say that Sally is a liar."
  • Bart: "Rex is a liar."
  • Sue: "Mel and Homer are liars."
  • Betty: "I know that I am a knight and Sally is a liar."
  • Rex : "Betty and I are both knights."
  • Zeke: "At least one of the following is true: that Sally is a knight or that Sue is a knight."
  • Sally:"It's false that Betty is a liar."
  • Zoey: "It's not the case that Sue is a liar."
  • Homer: "Betty is a liar or Zeke is a liar."
Determine the type of each of the inhabitants from the abovementioned statements.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: computer solutionDej Mar2010-02-06 21:49:47
SolutionAnalytical solution (spoiler)Steve Herman2010-02-06 16:51:16
Solutioncomputer solutionCharlie2010-02-06 14:09:13
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 (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information