a stone of 40 kg is broken into 4 pieces such that by combination of that 4 pieces we can weigh any weight fro?

a stone of 40 kg is broken into 4 pieces such that by combination of that 4 pieces we can weigh any weight from 1 to 40 kg...

3 Answers

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  • 1 decade ago
    Favorite Answer

    I assume you mean an whole number weight from 1 to 40 kg.

    Answer:

    27 kg

    9 kg

    3 kg

    1 kg

    To weigh 1 kg, that's obvious.

    To weigh 2 kg, put 3 kg on one side, 1 kg on the other. Put your object with the 1 kg weight and make it balance.

    To weigh 3 kg, that's obvious

    To weigh 4 kg --> 3 kg + 1 kg

    To weigh 5 kg --> 9 kg on one side, 3 kg + 1 kg on the other

    To weigh 6 kg --> 9 kg vs. 3 kg.

    To weigh 7 kg --> 9+1 kg. vs. 3 kg.

    To weigh 8 kg --> 9 vs. 1

    9 --> 9

    10 --> 9 + 1

    11 --> 9 + 3 | 1

    12 --> 9 + 3

    13 --> 9 + 3 + 1

    14 --> 27 | 9 + 3 + 1

    15 --> 27 | 9 + 3

    etc.

    You should be able to follow the pattern all the way to 40 kg.

  • 4 years ago

    4 Kg In Stone

  • 6 years ago

    how about 8,9,11 & 12

    1-> 9 vs 8

    2-> 11 vs 9

    3-> 12 vs 9

    4-> 12 vs 8

    5-> 8,9 vs 12

    6-> 8,9 vs 11

    7-> 8,11 vs 12

    8-> 9,11 vs 12

    9-> 8,12 vs 11

    10-> 9,12 vs 11

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