State the converse and contrapositive of the following statement:
$q:$ $I$ go to a beach whenever it is a sunny day.
$q:$ $I$ go to a beach whenever it is a sunny day.
(N/A) The given statement can be written in the form $p \implies q$ as: If it is a sunny day,then $I$ go to a beach.
The converse of the statement $p \implies q$ is $q \implies p$:
If $I$ go to a beach,then it is a sunny day.
The contrapositive of the statement $p \implies q$ is $\sim q \implies \sim p$:
If $I$ do not go to a beach,then it is not a sunny day.
The converse of the statement $p \implies q$ is $q \implies p$:
If $I$ go to a beach,then it is a sunny day.
The contrapositive of the statement $p \implies q$ is $\sim q \implies \sim p$:
If $I$ do not go to a beach,then it is not a sunny day.
Explore More
Similar Questions
The dual of the statement pattern $\sim p \wedge (q \vee t)$ is (where $t$ is a tautology and $c$ is a contradiction).
Identify the quantifier in the following statement and write the negation of the statement.
There exists a capital for every state in India.
There exists a capital for every state in India.
Easy
View SolutionNegation of $p \wedge (\sim q \vee \sim r)$ is -
Consider the statement patterns:
$A. (q \to p) \lor (p \to q)$
$B. (\sim p \lor \sim q) \leftrightarrow \sim (p \land q)$
$C. [(p \lor q) \land \sim p] \land \sim q$
$D. (p \land q) \land (\sim p \lor \sim q)$
Then identify the nature of these statement patterns.
$A. (q \to p) \lor (p \to q)$
$B. (\sim p \lor \sim q) \leftrightarrow \sim (p \land q)$
$C. [(p \lor q) \land \sim p] \land \sim q$
$D. (p \land q) \land (\sim p \lor \sim q)$
Then identify the nature of these statement patterns.
DifficultMHT CET 2026
View SolutionWrite the negation of the following statement:
$q:$ There exists a rational number $x$ such that $x^{2} = 2$.
$q:$ There exists a rational number $x$ such that $x^{2} = 2$.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo