The statement $B \Rightarrow((\sim A ) \vee B )$ is equivalent to
$B \Rightarrow( A \Rightarrow B )$
$A \Rightarrow( A \Leftrightarrow B )$
$A \Rightarrow((\sim A ) \Rightarrow B )$
$B \Rightarrow((\sim A ) \Rightarrow B )$
Negation of “Ram is in Class $X$ or Rashmi is in Class $XII$” is
The statement $( p \rightarrow( q \rightarrow p )) \rightarrow( p \rightarrow( p \vee q ))$ is
Consider the following two propositions:
$P_1: \sim( p \rightarrow \sim q )$
$P_2:( p \wedge \sim q ) \wedge((\sim p ) \vee q )$
If the proposition $p \rightarrow((\sim p ) \vee q )$ is evaluated as $FALSE$, then
$(p\; \wedge \sim q) \wedge (\sim p \wedge q)$ is
Which one of the following Boolean expressions is a tautology?