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    How many numbers among 5001, 6003, 7204, 8400 are divisible by 6?
    Question

    How many numbers among 5001, 6003, 7204, 8400 are divisible by 6?

    A.

    1

    B.

    2

    C.

    3

    D.

    4

    Correct option is A

    Given:
    Numbers: 5001, 6003, 7204, 8400
    Formula Used:
    A number is divisible by 6 if it is divisible by both 2 and 3.
    Solution:
    Check 5001: It is not an even number, so it is not divisible by 2. Thus, it is not divisible by 6.
    Check 6003: It is not an even number, so it is not divisible by 2. Thus, it is not divisible by 6.
    Check 7204: It is an even number. Now check divisibility by 3.
    Sum of digits = 7 + 2 + 0 + 4 = 13 (Not divisible by 3). Thus, 7204 is not divisible by 6.
    Check 8400: It is an even number. Now check divisibility by 3.
    Sum of digits = 8 + 4 + 0 + 0 = 12 (Divisible by 3). Thus, 8400 is divisible by 6.
    Only 1 number is divisible by 6.
    Final Answer
    So the correct answer is (a)

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