Outline Mathematics
Logic Problems
Who Has the Beard?
Here's a problem to tackle:
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"I've only met one of them," said Martha. "The guy with the beard. Which is he?"
"You figure it out yourself," Clem replied. "Two of them are married, two have blue eyes, and two are clean-shaven. The bearded one has brown eyes. Doug's wife is Ken's sister, and the bachelor has the same color eyes as Joe. They're three great guys."
Who had the beard?
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Solution

Copyright © 1996-2009 Alexander Bogomolny
Solution
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"I've only met one of them," said Martha. "The guy with the beard. Which is he?"
"You figure it out yourself," Clem replied. "Two of them are married, two have blue eyes, and two are clean-shaven. The bearded one has brown eyes. Doug's wife is Ken's sister, and the bachelor has the same color eyes as Joe. They're three great guys."
Who had the beard?
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(In the applet below, click on the underlined omitted expressions. See what happens.)
Do not forget to check your solution.
References
- J. A. H. Hunter, Entertaining Mathematical Teasers, Dover Publications, 1983

Copyright © 1996-2009 Alexander Bogomolny
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