Question

Question 64

1y3y6 is divisible by 11. Find the value of y.

Answer 1

It is given that, 1y3y6 is divisible by 11.
Then, we have (1 + 3 + 6) - (y + y) = 0, 11, 22, ............
$\Rightarrow$ 10 - 2y = 0, 11, 22, .....
$\Rightarrow$ 10 - 2y = 0 [other values give a negative number]
$\Rightarrow$ 2y = 10
$\Rightarrow$ y = 5