Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.
If a number is neither rational nor irrational then it is not real
If a number is not a rational or not an irrational, then it is not real
If a number is not real, then it is neither rational nor irrational
If a number is real, then it is rational or irrational
Negation of the statement $(p \vee r) \Rightarrow(q \vee r)$ is :
$\left(p^{\wedge} r\right) \Leftrightarrow\left(p^{\wedge}(\sim q)\right)$ is equivalent to $(\sim p)$ when $r$ is.
Which of the following statement is a tautology?
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.
If $(p \wedge \sim q) \wedge r \to \sim r$ is $F$ then truth value of $'r'$ is :-