$(\sim (\sim p)) \wedge q$ is equal to .........

Find the component statements of the following compound statement:
The sky is blue and the grass is green.

If $p: \forall n \in N, n^2+n$ is an even number and $q: \forall n \in N, n^2-n$ is an odd number,then the truth values of $p \wedge q, p \vee q$ and $p \rightarrow q$ are respectively:

Which of the following statement patterns is a tautology?

Let $p$ be the statement '$x$ is an irrational number',$q$ be the statement '$y$ is a transcendental number',and $r$ be the statement '$x$ is a rational number or $y$ is a transcendental number'.
Statement-$1$: $r$ is equivalent to $q \lor p$.
Statement-$2$: $r$ is equivalent to $(p \Leftrightarrow \sim q)$.

Find the component statements of the following and check whether they are true or not.
$\sqrt{2}$ is a rational number or an irrational number.