Which one among the following can not be exactly divided by 9?

2024

Which one among the following can not be exactly divided by 9?

  1. A.

    34567

  2. B.

    34567

  3. C.

    56435

  4. D.

    23542

  5. E.

    23544

Attempted by 4 students.

Show answer & explanation

Correct answer: E

To determine if a number is divisible by 9, apply the sum of digits rule: a number is divisible by 9 if the sum of its digits is a multiple of 9 (e.g., 9, 18, 27, 36...).

Step-by-Step Analysis of Options:

  • Option A (34567): Sum = 3+4+5+6+7 = 25. Since 25 is not a multiple of 9, this number cannot be divided by 9.

  • Option B (34567): Sum = 25. Similarly, this number cannot be divided by 9.

  • Option C (56435): Sum = 5+6+4+3+5 = 23. Since 23 is not a multiple of 9, this number cannot be divided by 9.

  • Option D (23542): Sum = 2+3+5+4+2 = 16. Since 16 is not a multiple of 9, this number cannot be divided by 9.

  • Option E (23544): Sum = 2+3+5+4+4 = 18. Since 18 is a multiple of 9 (9 * 2 = 18), this number is exactly divisible by 9.

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