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There are 4 stones weighing a total of 40 kgs. what should be the weights of all stones such that they can measure a weight of 1-40 kg(any natural number between 1-40) on a balance weighing machine on which different stones can be put on any side of balance?

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All the above answers are wrong. It can't be resolve with four stones, as it will take a binary system to resolve all the solutions and so it will take at least 6 stones weighing 1,2,4,8,16,32. As by changing the these weighs we can measure all the values lying between 1-40

1, 3 . 9 and 27 look u hv to measure weights b/w four stones...say 12 kg. this can b measured with help of 3 and 9. 19 kgs can be calculated by 27kg stone and 1kg stone on one side and 9 kg stone on other side. u can chk this for any case

1,3,9,27.

1,3,9,27

1,3,9,27