Question

Which of the following numbers is divisible by 11?

• A. 991,221
• B. 311,136
• C. 3,116,365
• D. 8,790,322

Answer 1

The correct option is A 991,221

To check divisibility by 11, check the number, if the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then the number is divisible by 11.

3,116,365 : (5 + 3 + 1 + 3) - (6 + 6 + 1) = 1
$\therefore$ It is not divisible by 11

991,221 : (1 + 2 + 9) - (2 + 1 + 9) = 0
$\therefore$ It is divisible by 11

8,790,322 : (2 + 3 + 9 + 8) - (2 + 0 + 7) = 13
$\therefore$ It is not divisible by 11

311,136 : (6 + 1 + 1) - (3 + 1 + 3) = 1
$\therefore$ It is not divisible by 11