Puzzle of the Day : 56
You have a balance and the following weights: Start with a weight of 4kg and notice what happens ondoubling the weight (4,8,16,32,64). (Here, “0 kg” is included as aweighing for a purpose)
4kg, 8kg, 16kg, 32kg, and 64kg.
How many different possible weights can you measure with these items?
4kg: can weigh 0kg or 4kg (2 possibilities)
4kg and 8kg: can weigh 0kg or 4kg or 8kg or 12kg (4possibilities)
4kg, 8kg and 16kg: can weigh 0kg or 4kg or 8kg or 10kg or12kg or 20g or 24g or 28kg (8 possibilities)
It doubles each time!
So with 4 weights there are 16 possibilities.
And with 5 weights there are 32 possibilities.Now, since we have added”0 grams” only for checking the pattern, therefore just subtract one,for an answer of 31.
See our previous ‘Puzzles of the Day’:
https://tathagat.mba/puzzle-of-the-day-55/
https://tathagat.mba/puzzle-of-the-day-54/
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