The contrapositive of the statement 'If Jaipu | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let $p$ be the statement 'Jaipur is the capital of Rajasthan' and $q$ be the statement 'Jaipur is in India'.The given statement is of the form $p

Vedclass · Accepted Answer

If Jaipur is not in India,then Jaipur is not the capital of Rajasthan.

Vedclass · Answer

(B) Let $p$ be the statement 'Jaipur is the capital of Rajasthan' and $q$ be the statement 'Jaipur is in India'.The given statement is of the form $p 	o q$.The contrapositive of $p 	o q$ is defined as $(\sim q) 	o (\sim p)$.Here,$\sim q$ is 'Jaipur is not in India' and $\sim p$ is 'Jaipur is not the capital of Rajasthan'.Therefore,the contrapositive is 'If Jaipur is not in India,then Jaipur is not the capital of Rajasthan'.

The contrapositive of the statement 'If Jaipur is the capital of Rajasthan,then Jaipur is in India' is:

Similar Questions

The given circuit is equivalent to:

Among the statements:
$(S1) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow ( p$ $\Rightarrow r )$
$(S2) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow (( p$ $\Rightarrow r ) \vee ( q$ $\Rightarrow r ))$

If the truth value of the statement pattern $(\sim p \land q) \lor (\sim p \land \sim q) \lor (p \land \sim q)$ is $F$, then the truth values of $(p \lor \sim q)$ and $(p \to q)$ are ... respectively.

The contrapositive of the statement $\sim p \vee (q \wedge \sim r)$ is

Which of the following is the negation of the statement "for all $M > 0$,there exists $x \in S$ such that $x \geq M$"?

Vedclass Test Series

Exam Paper Generator

Online Exam Module