Question

If a number is divided by $6$, the remainder is $3$. What is remainder if the square of the number is divided by $6$?

• A. $2$
• B. $3$
• C. $5$
• D. None of these

Answer 1

Answer: (B)

$3$

$\Rightarrow$ Let $x=6q+3.$

$\Rightarrow$ Then, $x^2=(6q+3)2$

$=36q^2+36q+9$

$=6(6q^2+6q+1)+3$

$\Rightarrow$ Thus, when $x^2$ is divided by $6$, then remainder $=3.$