Question

A positive number $n$ when divided by $8$ leaves a remainder $5$. What is the remainder when $2n+4$ is divided by 8?

• A. $8$
• B. $1$
• C. $6$
• D. $0$

Answer 1

Answer: (C)

$6$

$n$ when divided by $8$ leaves remainder $5$

Using division algorithm we have

$n=8p+5$; where $p$ is a quotient ...... (from quotient-remainder theorem)

Now, $2n+4=16p+14=(2p+1)8+6$

So, when $2n+4$ is divided by $8$ it leaves remainder $6$.

Hence, the answer is $6$.