If ` 24 x ` is a multiple of 11, where x is a digit, what is the value of x?

Explanation

Given number is `24x`
Sum of digits at even places `=4`
Sum of digits at odd places `=2+x`
`=4 − (2+x) = 11×m`
`=2−x=11m`
∴ `x` can take values from `0` to `9`
Possible values of `2 − x` are `0, 11, 22, 33` etc
Least value possible for `2 − x` is`0``=2−x=0`
Therefore,`x=2`