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Which number is divisible by both 9 and 11?1. 10,0982. 10,1083. 10,0894. 10,087 |
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Answer» Correct Answer - Option 1 : 10,098 Calculation: Divisibility rule of 9: A number is divisible by 9 only when the sum of its digits is divisible by 9. 10098 → 1 + 0 + 0 + 9 + 8 = 18 10108 → 1 + 0 + 1 + 0 + 8 = 10 10089 → 1 + 0 + 0 + 8 + 9 = 18 10087 → 1 + 0 + 0 + 8 + 7 = 16 10098 and 10089 are the numbers that satisfy the condition Divisibility rule of 11: A number is divisible by 11 if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a number divisible by 11 In case of 10098 ⇒ (1 + 0 + 8) – (0 + 9) = 9 – 9 = 0 (Satisfying the condition) Checking second term 10089 ⇒ (1 + 0 + 9) – (0 + 8) = 9 – 8 = 1 (Not satisfying the condition) ∴ The number which is divisible by both 9 and 11 is 10098. |
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