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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 тЖТ 9 choices

      - Tens digit: 0 to 9 тЖТ 10 choices

      - Units digit: fixed as 8 тЖТ 1 choice

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

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