Question

A positive number when divided by $88$ gives the remainder $8$. What will be the remainder when this number is divided by $11$.

Answer 1

Let the no. be k, then $\to$

$k=88\lambda +8$

$\left(\frac{k}{11}\right)=\frac{88\lambda }{11}+\frac{8}{11}$

$\left(\frac{k}{11}\right)=8\lambda +\left(\frac{8}{11}\right)$

Remainder $=8$