Which number is divisible by both 9 and 11?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 10,098.
| Understanding/Application |
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If a number is divisible by 9, the sum of the digits is also divisible by 9. If the number is divisible by 11, then the difference between the sum of the alternate number is either 0 or divisible by 11. |
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By trial and error method - Taking Option A - ⇒ 10098 ⇒ 1 + 0 + 0 + 9 + 8 = 18 which is divisible by 9 ⇒ 10098 ⇒ 1 + 0 + 8 - (0 + 9) = 0 which is divisible by 11. These condition doesn't satisfy in any other option. |