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Puzzles/Logic puzzles/Scales and Weights
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In front of you is a balance. Your task is to devise a system, using 4 weights, so that any whole number of kilograms can be weighed up to n kg, where n should be the largest possible.
Example:
Suppose you use these weights: 1 kg, 2 kg, 4 kg, 8 kg. This way you can weigh any weight up to n=15 kg by combining these weights.
1 kg = 1 kg
2 kg = 2 kg
3 kg = 2 kg + 1 kg
...
14 kg = 8 kg + 4kg + 2 kg
15 kg = 8 kg + 4 kg + 2 kg + 1 kg
Solutions: Up to 40 kg |
Up to 80kg