Which of the following number is divisible by 11?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 6589.
A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is a multiple of 11 (including 0).
this rule to the number 6589
Assign positions to the digits:
6 (1st), 5 (2nd), 8 (3rd), 9 (4th).
Sum the digits in odd positions (1st and 3rd positions):
⇒ 6 + 8 = 14.
Sum the digits in even positions (2nd and 4th positions):
⇒ 5 + 9 = 14.
Calculate the difference between these sums:
⇒ 14 - 14 = 0.
Since the difference is 0, which is a multiple of 11, the number 6589 is divisible by 11.