Question

When a positive integer n is divided by $5$, the remainder is $2$. What is the remainder when the number $3n$ is divide by $5$?

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

Answer: (A)

$1$

$n=5x+2$
$\therefore 3n=15x+6=(15x+5)+1$
$\Rightarrow 3n$ when divided by $5$ leaves a remainder $1$.