CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Which of the following numbers are divisible by 11?


A

72512

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

432

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

7825

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

1441

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
A

72512


D

1441


A number is divisible by 11, if the difference of the sum of digits in odd places from the right and sum of its digits in even places from the right is divisible by 11.

(a) 72512
The sum of its digits at even places = 2 + 1 = 3
The sum of its digits at odd places = 7 + 5 + 2 = 14
The difference between the two sums = 14 - 3 = 11
which is a multiple of 11.
Hence, 72512 is divisible by 11.

(b) 432
The sum of the digits in the odd places = 4 + 2 = 6
The digit in the even place = 3
The difference = 6 - 3 = 3
which is not divisible by 11.
Hence, 432 is not divisible by 11.

(c) 7825
The sum of the digits in the odd places = 7 + 2 = 9
The sum of the digits in the even place = 8 + 5 = 13
The difference = 13 - 9 = 4
which is not divisible by 11.
Hence, 7825 is not divisible by 11.

(d) 1441
The sum of the digit in the odd places = 4 + 1 = 5
The sum of the digits in the even places = 1 + 4 = 5
The difference = 5 - 5 = 0 which is divisible by 11.
Hence, 1441 is divisible by 11.


flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image