Which of the following number is divisible by 99?
Which of the following number is divisible by 99?
The correct option is B 114345
If a number is divisible by 99, then it must be divisible by 11 and 9 both because 99 = 11 × 9.
913462 is not divisible by 9 since the sum of digits is 25 which is not a multiple of 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
135792 is divisible by 9 since the sum of digits is 27 which is a multiple of 9 but not by 11.
Sum of digits at odd places is 1 + 5 + 9 = 15 and sum of digits at even places is 3 + 7 + 2 = 12 and difference of 15 - 12 is 3 which is not 0 or the multiple of 11.
3572406 is divisible by 9 since the sum of digits is 27 which is a multiple of 9 but not by 11.
114345 the sum of all digits is 18 which is a multiple of 9.
Sum of digits at odd places is 1 + 4 + 4 = 9 and sum of digits at even places is 1 + 3 + 5 = 9 and difference (9 - 9) is 0. So, 114345 is divisible by 11
Since 114345 is divisible by both 9 and 11 so it is divisible by 99.
114345
If a number is divisible by 99, then it must be divisible by 11 and 9 both because 99 = 11 × 9.
913462 is not divisible by 9 since the sum of digits is 25 which is not a multiple of 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
135792 is divisible by 9 since the sum of digits is 27 which is a multiple of 9 but not by 11.
Sum of digits at odd places is 1 + 5 + 9 = 15 and sum of digits at even places is 3 + 7 + 2 = 12 and difference of 15 - 12 is 3 which is not 0 or the multiple of 11.
3572406 is divisible by 9 since the sum of digits is 27 which is a multiple of 9 but not by 11.
114345 the sum of all digits is 18 which is a multiple of 9.
Sum of digits at odd places is 1 + 4 + 4 = 9 and sum of digits at even places is 1 + 3 + 5 = 9 and difference (9 - 9) is 0. So, 114345 is divisible by 11
Since 114345 is divisible by both 9 and 11 so it is divisible by 99.
