Which of the following numbers is divisible by 9?

This question was previously asked in
MP Police Constable 2023 Official Paper (Held On: 11 Sept, 2023 Shift 2)
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  1. 9821
  2. 8991
  3. 4553
  4. 6339

Answer (Detailed Solution Below)

Option 2 : 8991
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Detailed Solution

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Given:

Numbers: 9821, 8991, 4553, 6339

Formula used:

A number is divisible by 9 if the sum of its digits is divisible by 9.

Calculation:

For 9821:

Sum of digits = 9 + 8 + 2 + 1 = 20

20 is not divisible by 9

For 8991:

Sum of digits = 8 + 9 + 9 + 1 = 27

⇒ 27 is divisible by 9

For 4553:

Sum of digits = 4 + 5 + 5 + 3 = 17

17 is not divisible by 9

For 6339:

Sum of digits = 6 + 3 + 3 + 9 = 21

21 is not divisible by 9

∴ The correct answer is option (2): 8991

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