The negation of the statement "If $5 < 7$ and $7 > 2$,then $5 > 2$" is

The negation of the statement: "Getting above $95 \%$ marks is a necessary condition for Hema to get admission in a good college."

Consider the following statements:
$r: \text{If } p \to q \text{ is false, then } p \lor q \text{ is false.}$
$s: \text{If } p \leftrightarrow q \text{ is false, then } p \lor q \text{ is false.}$
The truth values of $r \to s$ and $s \to r$ are respectively . . . . . .

Give three examples of sentences which are not statements. Give reasons for the answers.

Which of the following statements is a tautology?

The statement $(p \wedge q) \to (p \vee q)$ is