SOLUTION: a shopkeeper has only 4 weights. He weighs 1 kg to 40 kg of weight in exact quantity with combination of these four weights that he got. He doesn't sell goods in half or quarter ki

Question 536313: a shopkeeper has only 4 weights. He weighs 1 kg to 40 kg of weight in exact quantity with combination of these four weights that he got. He doesn't sell goods in half or quarter kilos. What would be the amount of weights he has, to weigh each and every no. ranging from 1 to 40 kg.
Found 2 solutions by Alan3354, isalam931:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If he has weights of 1, 2, 4 & 8 kilos, he can make all integer values up to 15 kilos.
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If he has weights of 1, 3, 9 & 27 kilos, he can make all up to 40 kilos, but he has to have 2 of each of the 1, 3 & 9 kilo weights.
He needs 1, 1, 3, 3, 9, 9 & 27 kilo weights
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I think something isn't right in the problem.
With only 1 of each he can make
1, 3, 4, 9, 10, 12, 13, 27, 28, 30, 36, 37, 39 & 40 kilos.
2, eg, is not possible.

Answer by isalam931(1) (Show Source): You can put this solution on YOUR website!
a shopkeeper has only 4 weights. He weighs 1 kg to 40 kg of weight in exact quantity with combination of these four weights that he got. He doesn't sell goods in half or quarter kilos. What would be the amount of weights he has, to weigh each and every no. ranging from 1 to 40 kg.
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