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No Room at the Inn (Posted on 2003-06-25) Difficulty: 4 of 5
Three young men named Ajax, Balthazar, and Cicero arrived singly at an inn and awaited the innkeeper. When she arrived at the front desk, the innkeeper explained that no rooms were available, but as the rains were especially harsh that season she was willing to put up the three men as best she could. The man who arrived first could sleep in a spare bunk in the stableboy’s room, the second to arrive could sleep in the stable, and the third would have to bunk in the pighouse, which at least was warm and dry. The following argument ensued:

Ajax: I arrived first.
Balthazar: No you didn't! I was first.
Cicero: You were not! I arrived first.
Ajax: That's a lie! I arrived first, as I said before.
Cicero: Well, Balthazar did not arrive second.
Balthzar: Agreed.

The innkeeper knew that everyone in these parts was either a knight who always told the truth, a liar who never told the truth, or a knave whose statements strictly alternated between truth and untruth. Using deductive reasoning, what is the disposition of each young man, and what berth did the innkeeper assign to each?

See The Solution Submitted by Bryan    
Rating: 4.5000 (10 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionKnavesMath Man2011-01-30 21:46:10
answerK Sengupta2007-11-14 04:10:43
alternative solutionDaniel2006-07-31 04:40:49
re(5): i think... - ThoughtsTelly2004-06-09 15:42:14
CreativeCarlos Da Peanut2004-05-28 11:00:03
I think...Poliahu2004-02-09 15:57:19
Deduction§ēåpėstėr2003-11-30 04:23:02
re(4): i think...DJ2003-06-27 07:41:47
Some Thoughtsre(3): i think...Chris2003-06-27 03:33:31
some thoughtsyaman2003-06-26 13:41:02
re(2): i think...DJ2003-06-26 10:54:22
re: i think...Bryan2003-06-26 08:15:03
i think...sarah2003-06-26 07:14:45
re: My solutionBryan2003-06-25 11:41:32
SolutionMore Thoughts (Soulution)DJ2003-06-25 11:38:36
SolutionMy solutionEnder2003-06-25 11:07:33
this might workHank2003-06-25 11:03:01
Hints/TipsFirst ThoughtsDJ2003-06-25 10:31:38
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