Negation of the Boolean expression $p \Leftrightarrow (q \Rightarrow p)$ is:

If the Boolean expression $(p \wedge q) \circledast (p \otimes q)$ is a tautology,then $\circledast$ and $\otimes$ are respectively given by

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:

The statement pattern $(p \wedge q) \wedge [(p \wedge q) \vee (\sim p \wedge q)]$ is equivalent to

Show that the following statement is true by the method of contrapositive.
$p:$ If $x$ is an integer and $x^{2}$ is even,then $x$ is also even.

If $p \rightarrow (q \vee r)$ is false,then what are the truth values of $p, q, r$ respectively?