Faulty coin puzzle


We have ten sacks and each of sack having 1000 coins. Each coin weighs 10 grams. One of sack is having faulty coins whose weight is 11 grams. We have to find out faulty sack. We can use weigh machine only one time. How to find faulty sack ?

Comments

  1. Keep on adding the sack on the weighing machine. The moment weight increases by 11 Kg we get to know that the recent one has faulty coins

    ReplyDelete
    Replies
    1. Parag, You can not keep putting weights and have the readings.
      You can use machine one time means one time reading only.

      Delete
  2. Take out coins in the following sequence :
    Sack 1 : 1 Coin
    Sack 2 : 2 Coins
    Sack 3 : 3 Coins
    ...
    ...
    Sack 10 : 10 Coins

    Now weigh the collected coins ..
    Ideally the weight should be 55 * 10 grms = 550grms

    The difference in the Actual Weight and the expected Weight will give you the Sack Number.
    (Actual Weight - 550) = Sack Number.

    ReplyDelete

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