The Statement that is $TRUE$ among the following is
The contrapositive of $3x + 2 = 8 \Rightarrow x = 2$ is $x\ne 2$ $\Rightarrow 3x + 2\ne 8.$
The converse of $tan\,x\,=0\,\Rightarrow x = 0$ is $x\ne 0\,\Rightarrow tan\,x = 0.$
$p \Rightarrow q$ is equivalent to $p\, \vee \, \sim \,q.$
$p \vee q$ and $p\, \wedge \,q$ have the same truth table.
Which of the following pairs are not logically equivalent ?
If $p$ and $q$ are simple propositions, then $p \Leftrightarrow \sim \,q$ is true when
$( S 1)( p \Rightarrow q ) \vee( p \wedge(\sim q ))$ is a tautology $( S 2)((\sim p ) \Rightarrow(\sim q )) \wedge((\sim p ) \vee q )$ is a Contradiction. Then
$(\sim (\sim p)) \wedge q$ is equal to .........
Consider the following statements :
$A$ : Rishi is a judge.
$B$ : Rishi is honest.
$C$ : Rishi is not arrogant.
The negation of the statement "if Rishi is a judge and he is not arrogant, then he is honest" is