Which of the following number is NOT divisible by 18?

2025

Which of the following number is NOT divisible by 18?

  1. A.

    50436

  2. B.

    54036

  3. C.

    65043

  4. D.

    34056

Attempted by 13 students.

Show answer & explanation

Correct answer: C

Concept: A number is divisible by 18 if and only if it is divisible by both 2 and 9. Divisibility by 2 requires the number to be even (last digit 0, 2, 4, 6, or 8); divisibility by 9 requires the sum of its digits to be a multiple of 9.

Application — check each option against both conditions:

  1. 50436: last digit 6 (even); digit sum 5+0+4+3+6 = 18 (multiple of 9) — divisible by 18.

  2. 54036: last digit 6 (even); digit sum 5+4+0+3+6 = 18 (multiple of 9) — divisible by 18.

  3. 65043: last digit 3 (odd) — fails the divisibility-by-2 condition, so it cannot be divisible by 18 regardless of its digit sum.

  4. 34056: last digit 6 (even); digit sum 3+4+0+5+6 = 18 (multiple of 9) — divisible by 18.

Cross-check: three of the four numbers (50436, 54036, 34056) satisfy both the evenness and digit-sum conditions and are therefore divisible by 18; only one number fails the evenness condition, confirming which number is not divisible by 18.

∴ Required number = 65043

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