Negation of the statement $(p \vee r) \Rightarrow(q \vee r)$ is :
$\mathrm{p} \wedge \sim \mathrm{q} \wedge \sim \mathrm{r}$
$\sim \mathrm{p} \wedge \mathrm{q} \wedge \sim \mathrm{r}$
$\sim \mathrm{p} \wedge \mathrm{q} \wedge \mathrm{r}$
$\mathrm{p} \wedge \mathrm{q} \wedge \mathrm{r}$
Let $r \in\{p, q, \sim p, \sim q\}$ be such that the logical statement $r \vee(\sim p) \Rightarrow(p \wedge q) \vee r \quad$ is a tautology. Then ' $r$ ' is equal to
Which of the following is not a statement
Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.
Which of the following statements is a tautology?
Suppose $p, q, r$ are positive rational numbers such that $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is also rational. Then