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

Home > Logic > Liars and Knights
Where's the Exit? (Posted on 2003-08-18) Difficulty: 2 of 5
You are in a dungeon with five doors. In the dungeon there are two dungeon keepers, who are both either a liar or a knight. You know there is one liar and one knight. One door leads out of the dungeon, the other to certain death.

The keepers then tell you the following information:
Keeper A: If you asked me what door to take, there is no chance I would say E. If you asked the other keeper what door to take, he might say B.

Keeper B: If you asked me what door to take, there is no chance I would say C. If you asked the other keeper what door to take, he might say A.

Which door is the correct one?

  Submitted by Lewis    
Rating: 2.9286 (14 votes)
Solution: (Hide)
If A was the knight and B was the liar, then it was not door E or B, because of the information keeper A told you. It is not A because of Keeper B's second sentence. Because Keeper B's a liar, his first statement means he might say C if you asked which door. Therefore, because he is a liar, it isn't C. So, if A is the knight then it is door D.

If Keeper B was the knight and Keeper A the liar, then we know it is neither door C nor A, because of what Keeper B said. It is also not door B because of Keeper A's second sentence. Similarly to Keeper B's fist sentence, if Keeper A was the liar then his first sentence means it was not E. Therefore, it is also D.

Although you cannot tell which is the liar and which is the knight, you do know that door D is the correct door.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle AnswerK Sengupta2022-05-15 23:18:57
SolAndre2010-06-02 18:23:21
SolutionEliminationCharleyA.2007-01-26 02:37:19
No SubjectBrandon2005-05-16 14:00:09
a,b,d!Kris Norris2004-09-27 14:17:58
SolutionA bit obvious I'm afraidDacre2003-08-29 12:06:08
liars and knightsduckpotter2003-08-21 18:47:45
solutionFatBoy2003-08-21 13:04:49
SolutionJonathan Shaw2003-08-19 02:58:47
Some ThoughtssolutionHans2003-08-18 17:07:49
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information