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Twenty metal blocks (Posted on 2005-06-02) Difficulty: 3 of 5
Twenty metal blocks are of the same size and external appearance; some are aluminum, and the rest are duraluminum, which is heavier.

Using a pan balance to determine how many blocks are aluminum, what is the minimum number of weighings to be done?

See The Solution Submitted by pcbouhid    
Rating: 3.5000 (2 votes)

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re(5): between... | Comment 13 of 19 |
(In reply to re(4): between... by Tristan)

Well, then, find it :)

My best is eleven, which meets your queue comment requirement.
I can't really see a way to determine how many ~and~ which ones are duraluminum without using the full 19 weighings.  Of course, the expected number is much less based on a particular strategy, but  without knowledge of how many of each block there are, I can't lower the worst case scenario.

  Posted by Cory Taylor on 2005-06-07 00:39:05

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