The statement $(\sim( p \Leftrightarrow \sim q )) \wedge q$ is :
The statement $(\sim( p \Leftrightarrow \sim q )) \wedge q$ is :
- [JEE MAIN 2022]
- A
a tautology
- B
a contradiction
- C
equivalent to ( $p \Rightarrow q ) \wedge q$
- D
equivalent to $( p \Rightarrow q ) \wedge p$
Similar Questions
Which one of the following is a tautology ?
Which one of the following is a tautology ?
- [JEE MAIN 2020]
Negation of "If India wins the match then India will reach in the final" is :-
Negation of "If India wins the match then India will reach in the final" is :-
The statement $[(p \wedge q) \rightarrow p] \rightarrow (q \wedge \sim q)$ is
The statement $[(p \wedge q) \rightarrow p] \rightarrow (q \wedge \sim q)$ is
The contrapositive of the statement "If it is raining, then I will not come", is
The contrapositive of the statement "If it is raining, then I will not come", is
- [JEE MAIN 2015]
The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to
The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to