If $q$ is false and $p\, \wedge \,q\, \leftrightarrow \,r$ is true, then which one of the following statements is a tautology?
$(p\, \vee \,r\,)\, \to \,(p\, \wedge \,r)$
$(p\, \wedge \,r\,)\, \to \,(p\, \vee \,r)$
$p\, \wedge \,r$
$p\, \vee \,r$
Let $\Delta, \nabla \in\{\wedge, \vee\}$ be such that $( p \rightarrow q ) \Delta( p \nabla q )$ is a tautology. Then
Suppose $p, q, r$ are positive rational numbers such that $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is also rational. Then
Which of the following statement is a tautology?
Which Venn diagram represent the truth of the statements “No child is naughty”
Where $U$ = Universal set of human beings, $C$ = Set of children, $N$ = Set of naughty persons
Negation of "If India wins the match then India will reach in the final" is :-