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Unreliable Witnesses (Posted on 2017-05-17) Difficulty: 3 of 5
Six witnesses gave conflicting descriptions of the suspect.

Each witness had exactly one item correct. Each correct value appears at least once.

What would be the correct description of the suspect?

Hair Jacket Shirt Pants
Brown White Red Gray
Red Blue Pink White
Black Purple Yellow Blue
Blond White Not Yellow White
Brown Purple Green Gray
Gray Blue Orange Blue

This can be solved analytically without trial and error.


From Mensa Puzzle Calendar 2017 by Mark Danna and Fraser Simpson, Workman Publishing, New York. Puzzle for May 12.

See The Solution Submitted by Charlie    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Analytical Solution (Spoiler) | Comment 1 of 4
Exactly two items must be correct twice, and by inspection they must be the Jacket and the Pants.

And the shirt must be Yellow, because otherwise two people are correct about the shirt.  So the jacket cannot be purple and the pants cannot be blue.

If the jacket is white, then the pants cannot be gray or white.  Since we already know that the pants cannot be blue, this means that the jacket is not white.

So the jacket must be blue.  The pants, which then cannot be white must be gray.

So the hair must be blond.

Final and only answer:

HAIR  JACKET SHIRT PANTS
                                Gray
           Blue 
                      Yellow
Blond
                                 Gray
           Blue 

  Posted by Steve Herman on 2017-05-17 10:50:10
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