Negation is $“2 + 3 = 5$ and $8 < 10”$ is
$2 + 3 \neq 5$ and $< 10$
$2 + 3 = 5$ and $8 \nless10$
$2 + 3 \neq 5$ or $8 \nless10$
None of these
Which of the following is not a statement
If statement $(p \rightarrow q) \rightarrow (q \rightarrow r)$ is false, then truth values of statements $p,q,r$ respectively, can be-
If the Boolean expression $( p \Rightarrow q ) \Leftrightarrow( q *(\sim p ))$ is a tautology, then the Boolean expression $p *(\sim q )$ is equivalent to
For the statements $p$ and $q$, consider the following compound statements :
$(a)$ $(\sim q \wedge( p \rightarrow q )) \rightarrow \sim p$
$(b)$ $((p \vee q) \wedge \sim p) \rightarrow q$
Then which of the following statements is correct?
Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.