Which of the following is a statement?

Which of the following statements is/are False?
$S_1: \exists n \in N, \text{ such that } n^2 + n + 2 \text{ is divisible by 4.}$
$S_2: \exists x \in N, \text{ such that } x - 17 < 20.$
$S_3: \forall n \in N, x^2 + 3x - 10 = 0.$
$S_4: \forall n \in N, n^2 \ge 1.$

If the truth value of the compound statement $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is false, then the truth values of $p \to q$ and $q \to p$ are respectively...

The negation of the statement "If $I$ become a teacher,then $I$ will open a school" is:

If $p$ and $q$ are true statements and $r$ is a false statement,then which of the following is correct?

If $p: 25$ is an odd prime number.
$q: 14$ is a composite number and
$r: 64$ is a perfect square number.
Then which of the following statement patterns is true?