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    Question

    How many numbers are there between 99 and 1000 such that

    the digit 8 occupies the units place?
    A 84 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 90 Correct Answer Incorrect Answer
    D 104 Correct Answer Incorrect Answer

    Solution

    These are of the form _ _ 8, where the last digit is 8.

    So the units digit = 8.

    Now, the hundreds digit can range from 1 to 9 (because it's a 3-digit number).

    The tens digit can range from 0 to 9.

    - Hundreds digit: 1 to 9 → 9 choices

    - Tens digit: 0 to 9 → 10 choices

    - Units digit: fixed as 8 → 1 choice

    So, total number of such numbers = 9 x 10 x 1 = 90

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