The statment $ \sim \left( {p \leftrightarrow \sim q} \right)$ is
Equivalent to $p \leftrightarrow q$
'Equivalent to $ \sim p \leftrightarrow q$
A tautalogy
A fallacy
The contrapositive of statement 'If Jaipur is capital of Rajasthan, then Jaipur is in India' is
$\sim (p \vee q) \vee (\sim p \wedge q)$ is logically equivalent to
Which of the following is true
If $q$ is false and $p\, \wedge \,q\, \leftrightarrow \,r$ is true, then which one of the following statements is a tautology?
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