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

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 $(p \vee q) \to \sim r$ is logically equivalent to

For integers $m$ and $n$,both greater than $1$,consider the following three statements:
$P$: $m$ divides $n$
$Q$: $m$ divides $n^2$
$R$: $m$ is prime
Which of the following statements is true?

If $p, q, r$ are simple propositions with truth values $T, F, T$ respectively, then which of the following is not a true statement?

If $P$ and $Q$ are two statements,then which of the following compound statements is a tautology?