If the number x3331 is divisible by 11, what is the face value of x?

The divisibility test for 11 is:

The sum of digits at units place should be equal to the sum of digits at tens place.

For example,

The number 121.

Sum of odd digits= 1+1=2

Sum of even digits=2

So 121 is divisible by 11.

Similarly, the given number is x3331.

So, for this number to be divisible by 11, the sum of digits at odds place should be equal to the sum of digits at the evens place.

So, we have x+3+1= 3+3

So, we get x=2