Which of the following numbers are divisible by 11?
(i) 29435417
(ii) 57463828
(iii 57463824
(iv) 29435416
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. (i) and (iii).
Divisibility rule of 11: A number is divisible by 11 if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is either 0 or a multiple of 11.
29435417
(2 + 4 + 5 + 1) - (9 + 3 + 4 + 7)
12 - 23 = -11 [divisible by 11]
57463824
(5 + 4 + 3 + 2) - (7 + 6 + 8 + 4)
14 - 25 = - 11 [divisible by 11]
Hence, 29435417, 57463824 are divisible by 11