If $p$: Every square is a rectangle and $q$: Every rhombus is a kite,then the truth values of $p \rightarrow q$ and $p \leftrightarrow q$ are $ . . . . . . $ and $ . . . . . . $ respectively.

The statements $p, q$ and $r$ have truth values $T, F$ and $F$ respectively. The truth values of a logical statement $[\sim (p \wedge \sim q) \vee (q \vee \sim r)]$ and its dual are, respectively.....

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

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

Which of the following is false?

Write the negation of the following statement:
$r:$ All birds have wings.