Question
$5 × 2$ a multiple of $11$?

Answer

Sum of a digit in even place $= x$
and sum of the digits in odd place $= 5 + 2 = 7$
Difference of the sum of the digits in even places and in odd places $= x – 7$
$5\times 2$ is a multiple of $11$
$\Rightarrow x – 7 = 0, 11, 22,$
$\Rightarrow x = 7, 18, 29,$
Since, $x$ is a digit
$x = 7$

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