Which of the following statement is a tautology?
$((\sim q) \wedge p) \wedge q$
$((\sim q ) \wedge p ) \wedge( p \wedge(\sim p ))$
$((\sim q ) \wedge p ) \vee( p \vee(\sim p ))$
$( p \wedge q ) \wedge(\sim( p \wedge q ))$
Let $p, q, r$ denote arbitrary statements. Then the logically equivalent of the statement $p\Rightarrow (q\vee r)$ is
Negation of the statement : - $\sqrt{5}$ is an integer or $5$ is irrational is
Consider the following statements :
$P$ : Suman is brilliant
$Q$ : Suman is rich.
$R$ : Suman is honest
the negation of the statement
"Suman is brilliant and dishonest if and only if suman is rich" can be equivalently expressed as
If $p, q, r$ are simple propositions with truth values $T, F, T$, then the truth value of $(\sim p \vee q)\; \wedge \sim r \Rightarrow p$ is
Which of the following is a contradiction