Consider the following statements in respect of two natural numbers $p$ and $q$ such that $p$ is a prime number and $q$ is a composite number :

$p \times q$ can be an odd number.

$q/p$ can be a prime number.

$p + q$ can be a prime number.

Which of the above statements are correct?

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

Kepler. Discussing PYQs. Q.no. 67

Consider the following statements in respect of two natural numbers ppp and qqq such that ppp is a prime number and qqq is a composite number : p×qp \times qp×q can be an odd number. q/pq/pq/p can be a prime number. p+qp + qp+q can be a prime number. Which of the above statements are correct?