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Which of the following numbers is completely divisible by 99?
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- 57717
- 57627
- 55162
- 56982
- 57717
Correct Option: A
A number is divisible by 99 if it is divisible by 9 and 11 both.
Sum of the digits of the number 57717 = 5 + 7 + 7 + 1 + 7 = 27 which is divisible by 9.
Difference between the sum of digits at odd and even places = (7 + 7 + 5) – (7 + 1) = 19 – 8 = 11 which is a multiple of 11.
Hence required answer is 57717 .