If ` 24 x ` is a multiple of 3, where x is a digit, what is the value of `x` ?

Explanation

We know that, according to divisibility rules, if the sum of the digits of a number is divisible by `3`, then the given number is a multiple of `3`.
Since `24x` is a multiple of `3`, the sum of its digits is also a multiple of `3`.
Sum of digits of `24x = 2 + 4 + x = 6 + x`.
Hence, `6 + x`is a multiple of 3.