The statement among the following that is a tautology is
$A \vee(A \wedge B)$
$A \wedge(A \vee B)$
$B \rightarrow[ A \wedge( A \rightarrow B )]$
$[ A \wedge( A \rightarrow B )] \rightarrow B$
The contrapositive of the statement "If it is raining, then I will not come", is
Consider the following statements:
$P :$ Ramu is intelligent
$Q $: Ramu is rich
$R:$ Ramu is not honest
The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as.
The negative of the statement $\sim p \wedge(p \vee q)$ is
The proposition $p \Rightarrow \;\sim (p\; \wedge \sim \,q)$ is
Which one of the following Boolean expressions is a tautology?