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    Three chocolate bars weighing 600 grams, 420 grams and 780 grams were cut into small pieces of uniform weight. If 2 such bars are given to one person,
    Question

    Three chocolate bars weighing 600 grams, 420 grams and 780 grams were cut into small pieces of uniform weight. If 2 such bars are given to one person, then what will be the minimum number of such persons between whom all the bars can be distributed?

    A.

    10

    B.

    30

    C.

    15

    D.

    60

    Correct option is C

    Given
    Weights: 600g, 420g, 780g

    Solution
    To have uniform weight pieces, we find the HCF of 600, 420, 780.
    HCF = 60g (Largest common divisor)
    Total weight = 600 + 420 + 780 = 1800g
    Number of pieces = 180060\frac{1800}{60}​ = 30 pieces.
    Each person gets 2 pieces.
    Number of persons = 302=15\frac{30}{2} = 15​​

    Final Answer
    So the correct answer is (c)

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