Given the statement: "If you live in Delhi,then you have winter clothes."
Identify the following statements as contrapositive or converse of the given statement:
$(i)$ If you do not have winter clothes,then you do not live in Delhi.
$(ii)$ If you have winter clothes,then you live in Delhi.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The given statement is of the form "If $P$,then $Q$",where $P$ is "you live in Delhi" and $Q$ is "you have winter clothes".
$(i)$ The statement "If you do not have winter clothes,then you do not live in Delhi" is of the form "If not $Q$,then not $P$",which is the contrapositive of the given statement.
$(ii)$ The statement "If you have winter clothes,then you live in Delhi" is of the form "If $Q$,then $P$",which is the converse of the given statement.

Explore More

Similar Questions

Which of the following is true?

The statement $[p \wedge (q \vee r)] \vee [\sim r \wedge \sim q \wedge p]$ is equivalent to

The symbolic form of the statement "If it does not rain today or $I$ will not go to school,then $I$ will meet my friend and $I$ will go to watch a movie" is:
$p$: It rains today
$q$: $I$ am going to school
$r$: $I$ will meet my friend
$s$: $I$ will go to watch a movie

Simplify $(p \vee q) \wedge (p \vee \sim q)$

Which of the following is not a statement?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo