Question

Question 73

If 123123A4 is divisible by 11, find the value of A.

Answer 1

Given, 123123A4 is divisible by 11. Then we have (1 + 3 + 2 + A) - (2 + 1 + 3 + 4) is a multiple of 11.
i.e. (6 + A) - 10 = 0, 11, 22, ......
$\Rightarrow$ A - 4 = 0, 11, 22, ......
$\Rightarrow$ A - 4 = 0 [$\because$ A is a digit of the given number]
$\Rightarrow$ A = 4