If the truth value of the statement pattern $[p \wedge \sim r] \rightarrow [\sim r \wedge q]$ is False,then which of the following has truth value False?

Which of the following statement$(s)$ is/are not true?
$I$) If $1$ is not a prime number, then $2$ is not a prime number.
$II$) $e$ is a vowel and $12 \times 3 = 36$.
$III$) It is not true that $14$ is a composite number and $3$ is an even number.
$IV$) $\sqrt{5}$ is an irrational number, but $3 + \sqrt{5}$ is a complex number.

If $p$ : the function $f(x) = x$ is an even function,$q$ : ${}^nC_m$ is a whole number wherever defined,and $r$ : if $\overrightarrow{c} = \overrightarrow{a} + \lambda \overrightarrow{b}$,then the vectors $\overrightarrow{a}, \overrightarrow{b}$,and $\overrightarrow{c}$ are linearly dependent. Which one of the following statements is true?

Let $p$ and $q$ be two statements. Amongst the following,the statement that is equivalent to $p \to q$ is

The negation of the Boolean expression $\sim s \vee (\sim r \wedge s)$ is equivalent to

Let $A, B, C$ and $D$ be four non-empty sets. The contrapositive statement of "If $A \subseteq B$ and $B \subseteq D,$ then $A \subseteq C$" is