$\sim (p \Rightarrow q) \Leftrightarrow \sim p\; \vee \sim q$ is
A tautology
A contradiction
Neither a tautology nor a contradiction
Cannot come to any conclusion
The Boolean expression $(\mathrm{p} \wedge \mathrm{q}) \Rightarrow((\mathrm{r} \wedge \mathrm{q}) \wedge \mathrm{p})$ is equivalent to :
If the truth value of the statement $(P \wedge(\sim R)) \rightarrow((\sim R) \wedge Q)$ is $F$, then the truth value of which of the following is $F$ ?
Negation of the Boolean expression $p \Leftrightarrow( q \Rightarrow p )$ is.
Dual of $(x \vee y) \wedge (x \vee 1) = x \vee (x \wedge y) \vee y$ is
If $p : 5$ is not greater than $2$ and $q$ : Jaipur is capital of Rajasthan, are two statements. Then negation of statement $p \Rightarrow q$ is the statement