Which statement given below is a tautology?

The expression $(p \wedge \sim q) \vee q \vee (\sim p \wedge q)$ is equivalent to

Find the component statements of the following compound statement and check whether they are true or false.
All integers are positive or negative.

Let $p, q$ and $r$ be the statements:
$p$: $X$ is an equilateral triangle
$q$: $X$ is an isosceles triangle
$r: q \vee \sim p$
Then the equivalent statement of $r$ is:

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

For the statements $p$ and $q$,consider the following compound statements :
$(a)$ $(\sim q \wedge (p$ $\rightarrow q))$ $\rightarrow \sim p$
$(b)$ $((p \vee q) \wedge \sim p) \rightarrow q$
Then which of the following statements is correct?