Question

The difference between the sum of the digits in odd places and thats of that digits its in even places is either 0 or divisible by ______​

Answer 1

Divisibility Test for 11 :

→ Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11 , so is the original number.

So, for instance, 2728 has alternating sum of digits 2−7+2−8=−11

Since, −11 is Divisible by 11, So is 2728.

Here,

Given that Difference between Sum of digits at Odd places and that of Digits at even places is 0.

Hence, By Divisibility Test of 11, Number is Divisible by 11.