Question

A particular integer N is divisible by two different prime numbers $p$ and $q$. Mark the true statements.
I. N is not a prime number.
II. N is divisible by $pq$.
III. N is an odd integer

• A. I only
• B. II only
• C. I and II only
• D. I and III only
• E. I, II and III

Answer 1

Answer: (C)

I and II only

$\left(i\right)$ Since $N$ is divisible by two different prime numbers $p$ and $q.$

Hence $N$ is not a prime number as if have two or more than two factors$.$

$\left(ii\right)$ If $N$ is divisible by $p$ and $q.$

Then it must be divisible by $pq.$

$\left(iii\right)$ It can be even integer also$.$ So$,$ ${\left(iii\right)}^{rd}$ statement is incorrect$.$