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

Which of the following sentences are statements? Give reasons for your answer.
All real numbers are complex numbers.

The inverse of the proposition $(p \wedge \sim q) \Rightarrow r$ is

$\sim (p \vee q) \vee (\sim p \wedge q)$ is logically equivalent to

If $p$ and $q$ are true statements and $r$ is a false statement,then which of the following is correct?

For integers $m$ and $n$,both greater than $1$,consider the following three statements:
$P$: $m$ divides $n$
$Q$: $m$ divides $n^2$
$R$: $m$ is prime
Which of the following statements is true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module