Question : Which of the following numbers is divisible by 99?
Option 1: 31548
Option 2: 60687
Option 3: 44775
Option 4: 84456
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Correct Answer: 60687
Solution :
If a number is divisible by 99, then it must be divisible by 11 and 9, because 99 = 11 × 9
To check the divisibility by 11 we have to check the difference of the sum of odd place digits and the sum of even place digits.
If the result is 0 or a multiple of 11, then the number is divisible by 11.
To check the divisibility by 9, the sum of digits must be multiple of 9.
60687: Sum of odd place digits – Sum of even place digits = (6 + 6 + 7) – (0 + 8) = 11, which is divisible by 11.
Also, the sum of all digits = 6 + 0 + 6 + 8 + 7 = 27, which is divisible by 9.
So, 60687 will be divisible by 99.
Hence, the correct answer is 60687.
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