Q7

Consider the statement $P$.

$P$: For all integers $n\ge1$, if $n$ is a prime number then $\dfrac{n(n+1)}2$ is a prime number.

Which of the following is true about this statement and its converse?

A. The statement $P$ and its converse are both true.
B. The statement $P$ and its converse are both false.
C. The statement $P$ is true and its converse is false.
D. The statement $P$ is false and its converse is true.