Question

Check whether the given numbers are divisible by $11$ or not ?
(a) $786764$ (b) $536393$ (c) $110011$ (d) $1210121$ (e) $758043$ (f) $8338472$ (g) $54678$ (i) $13431$ (j) $423423$ (k) $168861$

Answer 1

The Divisibility Rule of $11$ is $\Rightarrow$ The alternative sum of the digits of Number is divisible by $11$
This can be understood by the application of above rule in given Numbers
$\left(a\right)786764\Rightarrow 7-8+6-7+6-4=0$
Therefore it is divisible by $11$.
$\left(b\right)536393\Rightarrow 5-3+6-3+9-3=11$
Therefore it is divisible by $11$.
$\left(c\right)110011\Rightarrow 1-1+0-0+1-1=0$
Therefore it is divisible by $11$.
$\left(d\right)1210121\Rightarrow 1-2+1-0+1-2+1=0$
Therefore it is divisible by $11$.
$\left(e\right)758043\Rightarrow 7-5+8-0+4-3=11$
Therefore it is divisible by $11$.
$\left(f\right)8338472\Rightarrow 8-3+3-8+4-7+2=2$
Therefore it is not divisible by $11$.
$\left(g\right)54678\Rightarrow 5-4+6-7+8=8$
Therefore it is not divisible by $11$.
$\left(i\right)13431\Rightarrow 1-3+4-3+1=0$
Therefore it is divisible by $11$.
$\left(j\right)423423\Rightarrow 4-2+3-4+2-3=0$
Therefore it is divisible by $11$.
$\left(k\right)168861\Rightarrow 1-6+8-8+6-1=0$
Therefore it is divisible by $11$.