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 Visiting Day at the Asylum (Posted on 2004-10-27)
Few people know there is an asylum in the land of Knights and Liars. The asylum houses mental deviants called 'Patients' who randomly tell the truth or lie.

Its visiting day and Frank has just started the evening shift. There is only one group of visitors left. Unfortuneately, the previous guard forgot to tell Frank which one of the five people seated at the table is the Patient. (There is exactly one Patient at the table. There are no Knaves.) Frank asks the group "Which one of you is the Patient here?" He got the following responses:

Alex:Bert is the Patient.
Bert:Carl is not the Patient.
Carl:I am not the Patient.
Dave:I am not the Patient.
Eddy:Dave is the Patient.

This left Frank puzzled, so he asks "Who amongst you can I believe?" This time the responses were:

Bert:Carl is a 'Knight'.
Carl:Dave is a 'Liar'.
Dave:Alex is a 'Liar'.
Eddy:I am a 'Knight'.
Alex did not say anything this time.

Wanting to get a straight answer, Frank decides he should pull one member of the group aside to ask one last question.

Who should Frank choose and what question should he ask?

NOTE: If Mr X is the Patient, then the statements "Mr X is a 'Knight'" and "Mr X is a 'Liar'" are both false.

 See The Solution Submitted by Brian Smith Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Solution if I misunderstood the Mr. X thing | Comment 3 of 7 |

If I misinterpreted the "Mr. X" thing at the bottom (which I don't think I did), then D's being patient may not lead to a contradiction.

Then, since A is a liar in either case, a possible question F could ask A is, "Is C the patient?"  If A says, "Yes," he would be lying and D is the patient.  If A says, "No," he would be lying and C is the patient.

 Posted by Dustin on 2004-10-27 17:22:33

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