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Who Dunnit?


Best Answer m00li, 27 May 2014 - 07:20 AM

Spoiler for then..

Go to the full post


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#1 bonanova

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Posted 25 May 2014 - 06:51 AM

Here's the situation.
There has been a murder in the house, and you must find who dunnit.

 

You ask three questions of each of six suspects, four of whom are liars.
Liars will give at least one, but not necessarily all three, incorrect answers.
One of the six is the murderer.

 

The house has eight rooms: Kitchen, Living Room, Bathroom, Garage, Basement, 3 Bedrooms.
Only one person (the murderer) was present in the killing room.
Any number of people could have been in any of the other rooms at the same time.

You must identify the murderer and determine which four are liars, and who was in which room.

Here are the responses to your questions:
 
John:

        Pat was in the 2nd bedroom.
        So was I.
        Tim was in the bathroom.

Mary:
        I agree with John that Tim was in the bathroom
        and Pat was in the 2nd bedroom.
        But I think that John was in the living room, OH MY GOD!

Pat:
        Mary was in the kitchen
        with Don.
        But I was in the bathroom.

Tim:
        I still say Pat was in the 2nd bedroom
        and Kelly was in the bathroom.
        John was in the 1st bedroom.

Kelly:
        Pat was in the bathroom
        with Don.
        And Mary was in the kitchen.

Don:
        Tim was in the kitchen.
        And I was in the 2nd bedroom
        with Pat.


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#2 m00li

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Posted 25 May 2014 - 10:48 AM

question looks incorrect. 

the informants are providing info only about who was in which room, so we can at best deduce who was where. The question assumes that by knowing who was where, we will know the murder. The only relationship between a murderer and location information is that the murderer was alone in his room. This must imply that the murderer is the ONLY person who is alone in a room, otherwise we cannot deduce the murderer from the location information alone.  

Having said that, additional information on why I think so:

Spoiler for steps


Edited by m00li, 25 May 2014 - 10:50 AM.

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#3 bonanova

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Posted 27 May 2014 - 05:35 AM

Yes, the missing information is that a corpse was found in the Living Room.


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#4 m00li

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Posted 27 May 2014 - 07:20 AM   Best Answer

Spoiler for then..


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