Negation of “Paris in France and London is in England” is
Paris is in England and London is in France
Paris is not in France or London is not in England
Paris is in England or London is in France
None of these
Which of the following statements is a tautology?
The negation of $(p \wedge(\sim q)) \vee(\sim p)$ is equivalent to
Let $p$ and $q$ be two statements.Then $\sim( p \wedge( p \Rightarrow \sim q ))$ is equivalent to
The statement $(\mathrm{p} \wedge(\mathrm{p} \rightarrow \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r})) \rightarrow \mathrm{r}$ is :
The logically equivalent of $p \Leftrightarrow q$ is :-