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32. Heavy Spheroids

There are eight snooker balls. Seven of them weigh exactly the same, but the eighth one is just a shade heavier. If you have a balance, how can you find the heavier ball in just two weighings?
 

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Split the balls into two 3s and a 2. Weigh the 3s against each other. If they are equal then the rogue ball can't be amongst them so simply weigh the two other balls against each other to find the heavier one.

If one group of three is heavier than the other then it must contain the rogue. Pick any two of the three and weigh them against each other. If one is heavier than the other then you've found the rogue; if they are the same then the rogue must be the third one of the three.
 

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