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Question

The least $4$ digit number which is exactly divisible by $9$ is

This question was previously asked in
UPSSSC PET 2025 Question Paper (07-Sep-2025) (Shift-2)
The correct answer is

$1008$

Since 1008 is the first 4-digit number we found that satisfies the condition, it is the least 4-digit number exactly divisible by 9. Both methods confirm that 1008 is the smallest 4-digit number that is exactly divisible by 9.

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Important Questions from Number System (Notes)

  1. The sum of the digits of a 2-digit number is 12. When the digits of the number are interchanged, the number becomes 15 more than twice the original number. The original number is:
  2. What is the least number which, when divided by 7, 12 and 15 leaves 1 as the remainder in each case?
  3. Three-digit numbers are formed of the form "abc" where all the digits a, b and c are different and b = a + c. Total number of such possible three-digit numbers is
  4. The sum of the digits of a two-digit number is 10. If 18 is subtracted from it, the digits in the resulting number will be equal. The number is :
  5. A 6-digit number has digits as consecutive natural numbers. The number is always divisible by :
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