csatmedium

How many numbers are there between 99 and 1000 such that the digit 8 occupies the units place?

  1. A.64
  2. B.80
  3. C.90
  4. D.104
▶ Answer & Explanation

Correct answer: C. 90

We are looking for numbers strictly between 99 and 1000. These are 3-digit numbers. The units digit must be 8. For the tens digit, any digit from 0 to 9 can be used (10 options). For the hundreds digit, any digit from 1 to 9 can be used (9 options). Thus, there are 9 (hundreds) * 10 (tens) * 1 (units) = 90 such numbers.

Source: UPSC csat 2017

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