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Minimum number of weighing required to measure 63kg ?
What is minimum number of weighings required to measure 63 kg of wheat, if only weight of 1kg is available.
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You need total 63kg Rice and only 1 kg weight is available
To minimize number of weighing we need to reuse the weight, which we already weighted.
Weigth (left side of weighing machine) | Rice (right side of weighing machine) | Total |
1 kg weight | 1 kg Rice | 1kg |
1 kg weight + 1kg Rice | 2 kg Rice | 2kg |
1 kg weight + 3kg Rice | 4 kg Rice | 4kg |
1 kg weight + 7kg Rice | 8 kg Rice | 8kg |
1 kg weight + 15kg Rice | 16 kg Rice | 16kg |
1 kg weight + 31kg Rice | 32 kg Rice | 32kg |
Total rice we have 1 + 2 + 4 + 8 + 16 + 32 = 63kg
We weighted 6 times.
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