Which of the following logical equivalences is true?
- A$p$ $\Rightarrow q \equiv \sim p$ $\Rightarrow \sim q$
- B$\sim (p \Rightarrow \sim q) \equiv \sim p \wedge q$
- C$\sim (\sim p \Rightarrow \sim q) \equiv \sim p \wedge q$
- D$\sim (p \Leftrightarrow q) \equiv [\sim (p$ $\Rightarrow q) \wedge \sim (q$ $\Rightarrow p)]$
Explore More
Similar Questions
If $p$: It rains today,$q$: $I$ go to school,$r$: $I$ shall meet my friend,and $s$: $I$ shall go for a movie,then which of the following represents the proposition: "If it does not rain or if $I$ do not go to school,then $I$ shall meet my friend and go for a movie"?
Medium
View SolutionThe statement pattern $[p$ $\rightarrow(q$ $\rightarrow p)]$ $\rightarrow[p$ $\rightarrow(p \vee q)]$ is
The Boolean expression $(p \wedge \sim q) \Rightarrow (q \vee \sim p)$ is equivalent to:
The compound statement $(P \vee Q) \wedge (\sim P) \Rightarrow Q$ is equivalent to:
Write the following statement in five different ways,conveying the same meaning.
$p:$ If a triangle is equiangular,then it is an obtuse-angled triangle.
$p:$ If a triangle is equiangular,then it is an obtuse-angled triangle.
Medium
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