The statement $(\sim( p \Leftrightarrow \sim q )) \wedge q$ is :
a tautology
a contradiction
equivalent to ( $p \Rightarrow q ) \wedge q$
equivalent to $( p \Rightarrow q ) \wedge p$
Which of the following pairs are not logically equivalent ?
The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is
The number of choices of $\Delta \in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$, such that $( p \Delta q ) \Rightarrow(( p \Delta \sim q ) \vee((\sim p ) \Delta q ))$ is a tautology, is
Negation of $p \wedge( q \wedge \sim( p \wedge q ))$ is
The contrapositive of the statement "I go to school if it does not rain" is