If the statements $p, q$ and $r$ have the truth values $F, T, F$ respectively,then the truth values of the statement patterns $(p \wedge \sim q) \rightarrow r$ and $(p \vee q) \rightarrow r$ are respectively

Find the component statements of the following and check whether they are true or not.
$A$ square is a quadrilateral and its four sides are equal.

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

The inverse of the proposition $(p \wedge \sim q) \rightarrow r$ is:

Which of the following statements is/are not true?
$I$) If $1$ is not a prime number, then $2$ is not a prime number.
$II$) $e$ is a vowel and $12 \times 3 = 36$.
$III$) It is not true that $14$ is a composite number and $3$ is an even number.
$IV$) $\sqrt{5}$ is an irrational number, but $3 + \sqrt{5}$ is a complex number.

If $p$: It is raining. $q$: Weather is pleasant. Then the simplified form of the statement "It is not true that,if it is raining then the weather is not pleasant" is