Statement $-1$ : $ \sim \left( {p \leftrightarrow \, \sim q} \right)$ is equivalent to $p \leftrightarrow q$
Statement $-2$ : $ \sim \left( {p \leftrightarrow \, \sim q} \right)$ is a tautology.
Statement $-1$ is True, Statement $-2$ is True;
Statement $-2$ is a correct explanation for Statement $-1$ .
Statement $-1$ is True, Statement $-2$ is True;
Statement $-2$ is $NOT$ a correct explanation for Statement $-1$ .
Statement $-1$ is True, Statement $-2$ is False.
Statement $-1$ is False, Statement $-2$ is True.
Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the following:
The logically equivalent of $p \Leftrightarrow q$ is :-
Negation of statement "If I will go to college, then I will be an engineer" is -
Negation of $p \wedge (\sim q \vee \sim r)$ 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.