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What four weights can be used to balance from 1 to 30 pounds?

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posted Jan 3, 2022 by Riteshwar

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A merchant has a 40 kg weight which he used in his shop. Once, it fell from his hands and was broken into 4 pieces. But surprisingly, now he can weigh any weight between 1 kg to 40 kg with the combination of these 4 pieces.

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You have a weighing balance, which you can place weights on both sides of. You need to measure all weights between 1 and 1000.

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Add together three of the numbers below to score 30.

Each number can be used as many times as you wish.

How many different combinations are there?

0 2 3 5 10 15 20 25

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Fill in the boxes with numbers from 1-10. One number can be used only once.

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