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.

(In reply to Inferior alternative by Penny)

I feel this solution is correct for any 4 chosen number between 51 to 55...

and finding the position of the left out weight (i.e. E among A<B<C<D ) is possible just in 2 steps...

so by this method also we can finish things just in 5 steps

Posted by Vivek on 2005-03-08 13:09:36