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Five Weights and a Broken Scale (Posted on 2004-08-02) Difficulty: 4 of 5
You have to sort five weights weighing 51g, 52g, 53g, 54g, and 55g. You have a balance scale with which you can compare the weights. But after solving so many sorting puzzles, it is starting to break down.

If the difference between two weights is greater than 1.5g, the scale will correctly determine which side is heavier. If the difference between the weights is less than 1.5g or equal, the scale will indicate the weights are equal.

Sort the weights in the smallest number of weighings.

See The Solution Submitted by Brian Smith    
Rating: 3.5556 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: 5 weighings is enough | Comment 15 of 17 |
(In reply to 5 weighings is enough by Detti)

all different

1. A take two wheights. If differ take one of them (eg. easier) as "basic wheight"

2. A take basic wheight and one more, if is easier, you have 1-3-5.

3. A Compare one of the remaining wheights with 1. It will be either 2 or 4. You are finished.


Edited on October 6, 2004, 11:01 am
  Posted by Detti on 2004-10-06 09:38:12

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