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    Replace * by the smallest digit so that 723*56 is divisible by 6.
    Question

    Replace * by the smallest digit so that 723*56 is divisible by 6.

    A.

    4

    B.

    3

    C.

    2

    D.

    1

    Correct option is D

    Given:
    Number: 723*56
    Formula Used:
    A number is divisible by 6 if it is divisible by both 2 and 3.
    To check divisibility by 2, the last digit should be even.
    To check divisibility by 3, the sum of the digits should be divisible by 3.
    Solution:
    Sum of the digits: 7 + 2 + 3 + * + 5 + 6
    Sum = 23 + *
    The sum should be divisible by 3.
    Possible values for * are 1, 4, 7,
    Since we need the smallest digit => * = 1

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