Identify the type of "Or" used in the following statement and check whether the statement is true or false:
$\sqrt{2}$ is a rational number or an irrational number.

The negative of the statement $\sim p \wedge (p \vee q)$ is

Statement-$I$: $\sim (p \leftrightarrow q)$ is equivalent to $(p \wedge \sim q) \vee (q \wedge \sim p)$.
Statement-$II$: $p$ $\rightarrow (p$ $\rightarrow q)$ is a tautology.

Write the contrapositive and converse of the following statement:
If two lines are parallel,then they do not intersect in the same plane.

The following statement $(p \to q) \to [(\sim p \to q) \to q]$ is

Consider the following two statements :
$P :$ If $7$ is an odd number,then $7$ is divisible by $2.$
$Q :$ If $7$ is a prime number,then $7$ is an odd number.
If $V_1$ is the truth value of the contrapositive of $P$ and $V_2$ is the truth value of the contrapositive of $Q,$ then the ordered pair $(V_1, V_2)$ equals