Question

If $\overline{3x2}$ is multiple of 11 , where x is a digit, what is the value of x ?

Answer 1

$\because$ The number $\overline{3x2}$ is multiple of 11
$\therefore$ It is divisible by 11
$\therefore$ Difference of the sum of its alternate digits is zero or multiple of 11
$\therefore$ Difference of (2+3) and x is zero or multiple of 11
$\Rightarrow$ If x-(2+3) =0 $\Rightarrow$ x-5=0
Then x = 5