You have 10 bags full of coins. In each bag are infinite coins. But one bag is full of forgeries, and you can’t remember which one. But you do know that a genuine coins weigh 1 gram, but forgeries weigh 1.1 grams. You have to identify that bag in minimum readings. You are provided with a digital weighing machine
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Answer:
Our Solution:
If there is only 1 bag with forgeries, then take 1 coin from the first bag, 2 coins from the second bag . . . 10 coins from the tenth bag and simply weigh the picked coins together ! If there were no forgeries, you know that the total weight should be (1+2+3+ . . . +10) = 55 grams.
If there is only 1 bag with forgeries , then take out
1 coin from 1st bag , 2 coins from 2nd bag … 10coins from 10th bag
if there is no forgeries , you know that
Total weight = (1+2+3+4(5+6+7+8+9+10) = 55g