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27 Weights (Posted on 2003-05-31) Difficulty: 3 of 5
Suppose you have 27 weights weighing: 1, 2, 3, 4, ........, 25, 26 and 27 grams respectively.

(a)How can you group them into three groups so that each group has the same weight ?

(b) Is it possible to divide it into more than three groups satisfying the same conditions ?

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

Comments: ( Back to comment list | You must be logged in to post comments.)
re: part b | Comment 9 of 14 |
(In reply to part b by Charlie)

As 6930/10=693 < 27², there's no way of doing this for 10 or more groups. That leave 5, 6, 7 and 9 as possibilities, of which the program found solutions for 5, but none for 6 or 7. I haven't tried 9.
  Posted by Charlie on 2003-05-31 11:46:07

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