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Find the Fake


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#1 jrbraves26

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Posted 15 March 2013 - 04:54 AM

You have 50 coins that all look exactly the same. One of them is fake and weighs a few grams more than the others. Given a balance scale (not a triple beam scale), what is the fewest number of weightings you could use to find the fake coin? Explain.


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#2 Pankaj Varma

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Posted 15 March 2013 - 05:55 AM

Spoiler for Spolier added


Edited by bonanova, 15 March 2013 - 05:58 AM.
Add spoiler

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#3 bonanova

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Posted 15 March 2013 - 05:57 AM

You have 50 coins that all look exactly the same. One of them is fake and weighs a few grams more than the others. Given a balance scale (not a triple beam scale), what is the fewest number of weightings you could use to find the fake coin? Explain.

 

Spoiler for Looks like


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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