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

Consider the following statements:
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
$r$: If current decreases, then voltage increases.
$s$: If current does not decrease, then voltage does not increase.
Which of the following pairs of statements have the same meaning?

The negation of the statement "If $5 < 7$ and $7 > 2$,then $5 > 2$" is

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

Among the statements:
$(S1): (p \Rightarrow q) \vee ((\sim p) \wedge q)$ is a tautology
$(S2): (q \Rightarrow p) \Rightarrow ((\sim p) \wedge q)$ is a contradiction

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.

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