Question

What is the remainder obtained when a prime number greater than $6$ is divided by $6$?

• A. $1or3$
• B. $1or5$
• C. $3or5$
• D. $4or5$

Answer 1

Answer: (B)

$1or5$

We can take an example. Prime numbers greater than $6$ are $7,11,13,$ and so on. When $7$ is divided by $6,$ remainder is $1$. When $11$ is divided by $6$, remainder is $5$. Similarly, when $13$ is divided by $6$, remainder is $1$. The remainder obtained is either $1$ or $5$.

So the correct answer will be option $B$