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Coin riddle?

You have a pile of 24 coins. Twenty-three of these coins have the same weight, and one is heavier. Your task is to determine which coin is heavier and do so in the minimum number of weighings. You are given a beam balance (scale), which will compare the weight of any two sets of coins out of the total set of 24 coins. How many weighings are required to identify the heavier coin?

9 Answers

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  • 1 decade ago
    Favorite Answer

    4 times....

    1) Weigh 12 and 12...one side will be heavier

    2) Weigh 6 and 6 (of the heavier 12)...one side will be heavier

    3) Weigh 3 and 3 (of the heavier 6)...one side will be heavier

    4) Weigh 2 of the remaining 3 coins...if one side is heavier, that's your coin, if they are equal, the one you didn't weigh is the coin.

  • 1 decade ago

    3 times

    1. Weigh 8-8 see if they are equal or one is heavy. If both are equal select the third pile.

    2. Weigh 3-3. If one is heavy select it. If both are equal the other pile with 2 coins is the one.

    3. If it is a 3 coin pile weigh 1-1 select the heavier one. If both are equal the third one is the heavier one. If it is the 2 coin pile in step two, weigh them one on each side and select the heavier one.

  • Anonymous
    1 decade ago

    You could do what dave said, or with a 1/4 chance of it taking 5 turns, and 3/4 chances of taking 4 or less, you could do it as follows... divide into 4 equal piles of 6 each, weigh half of each, if one side is heavier in a pile, do the rest as dave said.

  • Anonymous
    1 decade ago

    24

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  • 23

  • ?
    Lv 4
    5 years ago

    er, i-im not fairly farmiliar with english forex, yet i'd say a million pound peice, and twenty (cent?) piece, because in ordinary words definitely one of them isn't a .20 piece, didnt say some thing about the different. ;-) not person-friendly, you're.

  • 1 decade ago

    I Agree with David

  • 1 decade ago

    I accepted David's answer

  • 1 decade ago

    23

    lol

    have a nice day !

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