If in a number , difference between the sum of digits at its odd places and that of digits at the even places is given $0$ , then the number is divisible by _____ .

7

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11

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Solution

The correct option is D $11$
Divisibility Test for $11$ :
$\to$ 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 $11$ .

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If in a number , difference between the sum of digits at its odd places and that of digits at the even places is given 0, then the number is divisible by _____ .

If in a number , difference between the sum of digits at its odd places and that of digits at the even places is given $0$ , then the number is divisible by _____ .