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Three women, three numbers (Posted on 2005-12-15) Difficulty: 3 of 5
Three women were seated around a table. After blindfolded, a numbered disc was pasted on each of their foreheads. The women were truthfully told "Each of you has either a 1, a 2 or a 3 on your forehead, and the sum of your numbers is either 6 or 7".

After the blindfolds were removed, each woman in turn was asked to name the number on her forehead without seeing it. The question was repeated until only one woman failed to name the number on her forehead.

When it was logically possible to name the number on her forehead, each woman did so; when it was not logically possible to name the number on her forehead, she would said "I donīt know my number", and waited until the question was repeated to her next time around.

Each woman had a 2 on her forehead. Which woman failed to name her number?

See The Solution Submitted by pcbouhid    
Rating: 3.3750 (8 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
**Charlotte2006-02-26 09:30:56
solutionmatcotton2006-01-17 04:35:12
Re: An Answer (The correct one?)George Wade2005-12-26 11:14:03
Solutionsolutionsurya2005-12-21 05:07:30
Response to GadsenGordon Steel2005-12-17 14:10:03
re: Solution (I think) - Any Comments?Gadsden2005-12-17 10:19:23
Solution - Correction to Prior PostingGordon Steel2005-12-16 17:21:08
SolutionGordon Steel2005-12-16 17:13:15
SolutionNo SubjectDYLAN2005-12-16 16:19:35
Hmmm...Nick2005-12-16 14:31:01
formatting fixed in solutionWallace North2005-12-16 10:51:30
Maybe this is it (cont.)Kevin Beggs2005-12-16 05:35:19
Maybe this is itKevin Beggs2005-12-15 22:39:30
SolutionSystematic solutionTristan2005-12-15 21:28:03
SolutionSolution (I think)Gadsden2005-12-15 19:41:42
The correct solution (I think)Gadsden2005-12-15 19:30:56
re: Answer (i hope) - difficult to readpcbouhid2005-12-15 19:00:55
SolutionAnswer (i hope)Wallace North2005-12-15 17:30:51
re: Before I Check (spoiler)pcbouhid2005-12-15 15:07:49
SolutionBefore I Check (spoiler)Vernon Lewis2005-12-15 14:14:49
SolutionSolutionGamer2005-12-15 13:44:25
re: Solution - not quitegoFish2005-12-15 13:25:35
SolutionGamer2005-12-15 12:59:16
re(2): An Answer?goFish2005-12-15 11:28:57
re: An Answerpcbouhid2005-12-15 10:45:07
SolutionAn AnswergoFish2005-12-15 10:39:43
Some Thoughtsa guess no proof yetWallace North2005-12-15 10:12:31
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