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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(2): part b (7 groups -bug fixed) | Comment 12 of 14 |
(In reply to re: part b by Charlie)

After fixing a bug in my program for 7 groups, I find that there are 1029 ways of arranging the weights into 7 groups with equal weight. One such is
4², 8², 9², 10², 27²
3², 7², 16², 26²
13², 14², 25²
2², 11², 17², 24²
5², 6², 20², 23²
1², 12², 19², 22²
15², 18², 21²
  Posted by Charlie on 2003-05-31 16:15:51

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