Fill in the blanks to make the statements true.
A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places is either 0 or divisible by ………….. .

Question

Philoid · Accepted Answer

Let abcd be a four-digit number.

The digits at odd places are a and c, even places are b and d. (a + c)-(b + d) = 0.

It also follows that (a + c) – (b + d) should be divisible by 11 if (a + c)-(b + d)≠0.

Fill in the blanks to make the statements true.A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places is either 0 or divisible by ………….. .