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    The six digit number 87937A is divisible by 6 where A is the least natural number. Find the value of A.
    Question

    The six digit number 87937A is divisible by 6 where A is the least natural number. Find the value of A.

    A.

    8

    B.

    4

    C.

    6

    D.

    2

    Correct option is D

    Given:
    The six-digit number is 87937A and it is divisible by 6. A is the least natural number.
    Concept Used:
    A number divisible by 6 must satisfy:
    1. Divisibility by 2 → The last digit (A) must be even.
    2. Divisibility by 3 → The sum of digits must be divisible by 3.
    Solution:
    Sum of digits = 8 + 7 + 9 + 3 + 7 + A = 34 + A
    Try even digits for A (0, 2, 4, 6, 8) since the number must be even.
    Check for A = 0: Sum = 34 → Not divisible by 3
    Check for A = 2: Sum = 36 → Divisible by 3
    Also, 2 is even => Number is divisible by 2
    Therefore, 879372 is divisible by both 2 and 3 => divisible by 6
    The least natural number A is 2.

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