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    What is the smallest 5-digit number exactly divisible by 999?
    Question

    What is the smallest 5-digit number exactly divisible by 999?

    A.

    19,999

    B.

    10,989

    C.

    10,899

    D.

    10,999

    Correct option is B

    Given:

    To find the smallest 5-digit number exactly divisible by 999.

    Concept Used:

    To find the smallest 5-digit number divisible by 999, divide the smallest 5-digit number (which is 10000) by 999, and round up to the next integer. Then multiply that integer by 999 to get the required number.

    Solution:

    1000099910.010=>10.010=11\frac{10000}{999} \approx 10.010\Rightarrow \lceil 10.010 \rceil = 11​​

    Required number = 11×99911 \times 999 = 10989

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