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Centrifugal Balance (Posted on 2003-10-04) Difficulty: 3 of 5
You are a biochemist, working with a 12-slot centrifuge. This is a gadget that has 12 equally spaced slots around a central axis, in which you can place chemical samples you want separated. The slots on the centrifuge are numbered 1 through 12 clockwise (and clock-like).
           12  1
        11        2

      10            3
             °
       9            4

         8        5
            7  6
When the machine is turned on, the samples whirl around the central axis and do their thing. To ensure that the centrifuge runs smoothly, the samples must be distributed in the 12 slots such that it is balanced evenly.

Can you use the centrifuge to run 5 samples?

For example, if you have four samples, they may be placed in slots 1, 4, 7, and 10 to balance the centrifuge.

See The Solution Submitted by DJ    
Rating: 4.3571 (14 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsPuzzle Thoughts K Sengupta2023-07-28 12:39:37
re(2): Are biochemist really that smart?.cyclothymic2008-07-20 08:15:18
As a biochemist ...cyclothymic2008-07-20 08:06:19
re: Are biochemist really that smart?.Tristan2005-04-14 22:02:56
QuestionAre biochemist really that smart?.ajosin2005-04-14 14:20:21
other numbers of samplesDan Porter2004-01-13 22:20:35
possible solutionA2003-10-11 22:23:39
solutionRuxi2003-10-06 15:07:03
SolutionSimple wayFederico Kereki2003-10-05 21:15:18
That's interesting.TomM2003-10-04 21:23:18
Proposed solutionNick Hobson2003-10-04 17:38:47
SolutionProposed solutionJohn Reid2003-10-04 13:59:40
Two solutions to the chemist's problem.Charlie2003-10-04 13:45:17
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