Question

Which of the following numbers are divisible by 11 and 9 respectively?

• A. 10000001, 459756
• B. 9000001,45975
• C. 4569874, 547952
• D. 4568947, 97455

Answer 1

The correct option is A

10000001, 459756

To check the divisibility of a number by 11, we find the difference between the sum of the digits at odd places (from the right) and the sum of the digits at even places (from the right) of the number. If the difference is 0 or a number divisible by 11, then the number is divisible by 11.
For 10000001,

Sum of digits at odd places = 1

Sum of digits at even places = 1

difference = 1 - 1 = 0

Hence, 10000001 is divisible by 11

For divisibility by 9 - if the sum of the digits of a number is divisible by 9, then the number is divisible by 9.
The sum of digits of 459756 is 36 which is divisible by 9.
Hence, 459756 is divisible by 9.