If $p:3$ is an odd number and $q:15$ is a prime number, then the truth value of $\left[~\left(p ⟺q\right)\right]$ is equivalent to that of ________.

$\left(\mathrm{i}\right) p ⟺\left(~q\right)$   $\left(\mathrm{ii}\right) \left(~p\right)⟺q$    $\left(\mathrm{iii}\right) ~\left(p\wedge q\right)$

Consider the following three statements:

$P:5$ is a prime number

$Q:7$ is a factor of $192$

$R: \mathrm{LCM}$ of $5$ and $7$ is $35$

Then the truth value of which one of the following statements is true?