$\sim[(p \vee \sim q) \rightarrow (p \wedge \sim q)] \equiv$
- A$(p \wedge \sim q) \wedge (\sim p \vee q)$
- B$(p \wedge \sim q) \wedge (\sim p \wedge q)$
- C$(p \vee \sim q) \wedge (\sim p \vee q)$
- D$(p \vee \sim q) \vee (\sim p \vee q)$
Explore More
Similar Questions
Write the following statement in the form "if $p$,then $q$":
$q$: There is a traffic jam whenever it rains.
$q$: There is a traffic jam whenever it rains.
Easy
View SolutionThe truth values of $p \rightarrow r$ is $F$ and $p \leftrightarrow q$ is $F$. Then the truth values of $(\sim p \vee q) \rightarrow (p \vee \sim q)$ and $(p \wedge \sim q) \rightarrow (\sim p \wedge q)$ are respectively:
$p :$ Suman is brilliant.
$q :$ Suman is rich.
$r :$ Suman is honest.
How can the negation of the statement "Suman is rich if and only if Suman is brilliant and dishonest" be represented?
$q :$ Suman is rich.
$r :$ Suman is honest.
How can the negation of the statement "Suman is rich if and only if Suman is brilliant and dishonest" be represented?
Medium
View SolutionIf the inverse of the conditional statement $p \to (\sim q \wedge \sim r)$ is false,then the respective truth values of the statements $p, q,$ and $r$ are:
For each of the following compound statements,first identify the connecting words and then break it into component statements.
Square of an integer is positive or negative.
Square of an integer is positive or negative.
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