If $(p \wedge \sim q) \wedge r \to \sim r$ is $F$ then truth value of $'r'$ is :-
$T$
$F$
Can't say
May be $'T'$ or may be $'F'$
$(p\rightarrow q) \leftrightarrow (q \vee ~ p)$ is
Which Venn diagram represent the truth of the statement“All students are hard working.”
Where $U$ = Universal set of human being, $S$ = Set of all students, $H$ = Set of all hard workers.
Which of the following is the negation of the statement "for all $M\,>\,0$, there exists $x \in S$ such that $\mathrm{x} \geq \mathrm{M}^{\prime \prime} ?$
The statement $( p \wedge q ) \Rightarrow( p \wedge r )$ is equivalent to.
Which one of the following is a tautology ?