If is a multiple of 11, where x is a digit, what is the value of x?

Here, given number is .

We know that a number is divisible by 11 if and only if the difference between the sum of odd and even place digits is a multiple of 11.

∴ Sum of even placed digits – Sum of odd placed digits = 0, 11, 22,…

∴ x – ( 3+2) = 0, 11, 22,…

∴ x – 5 is a multiple of 11

∴ x – 5 = 0

∴ x = 5