Help with a Brain Teaser...

JACKHAMMER

Platinum Member
Oct 9, 1999
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You are given 12 pennies and a balance. One of the pennies is fake and may be either heavier or lighter than a real penny. You can only use the balance 3 times, how can you for sure tell which penny is the fraud?
 

PrincessGuard

Golden Member
Feb 5, 2001
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Easy. Split pile into 2. (* is fake)

6* --- 6
3* --- 3
1* --- 1 or 1 --- 1

Edit: Whoops. Didn't notice that it could be lighter or heavier. Disregard :)
 

floccus

Senior member
Mar 3, 2003
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Its too late to think now, but I've solved this b4... its not that hard when you get into it.
 

zsouthboy

Platinum Member
Aug 14, 2001
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Well it would be easy if the fake one was only heavier or only lighter.... gimme a minute to think..
 

crypticlogin

Diamond Member
Feb 6, 2001
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Google for "Twelve Coins Problem". This problem is as old as dirt and been rehashed for longer. ;)