Question:

The number of 'three digit numbers' which are multiples of 9 are:

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To find the count of multiples of a number in a range, divide the highest and lowest values of the range by the number and find the difference.
Updated On: Aug 18, 2025
  • 98
  • 101
  • 100
  • 99
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The Correct Option is C

Solution and Explanation

The three-digit numbers which are multiples of 9 range from 108 to 999. The first multiple of 9 is 108, and the last multiple of 9 is 999. To find how many such multiples exist, we divide 999 by 9 to get 111, and divide 108 by 9 to get 12. Hence, the number of three-digit multiples of 9 is \(111 - 12 + 1 = 100\).
- Option (A) 98: This is incorrect as the count is higher than 98.
- Option (B) 101: This is also incorrect as there are only 100 multiples of 9.
- Option (D) 99: This number is incorrect as well.
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