What could be a general method or shortcut to check divisibility by 11? Class 8

What could be a general method or shortcut to check divisibility by 11? Class 8

Question 1.

What could be a general method or shortcut to check divisibility by 11? Class 8

Solution:

Find the alternate sums of the digits and find their difference. If the difference is divisible by 11, the number will be divisible by 11.

Question 2.

If this difference is 11 or a multiple of 11, what does that say about the remainder obtained when the number is divisible by 11? Class 8

Solution:

Remainder will be 0.