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
$p$: It rains today
$q$: $I$ am going to school
$r$: $I$ will meet my friend
$s$: $I$ will go to watch a movie
- A$\sim(p \vee q) \rightarrow (r \vee s)$
- B$(p \wedge q) \rightarrow (r \vee s)$
- C$\sim(p \wedge q) \rightarrow (r \wedge s)$
- D$(\sim p \wedge q) \rightarrow (r \wedge s)$
Explore More
Similar Questions
Write the converse of the following statement:
If two integers $a$ and $b$ are such that $a > b$,then $a - b$ is always a positive integer.
If two integers $a$ and $b$ are such that $a > b$,then $a - b$ is always a positive integer.
Easy
View SolutionThe statement pattern $[p \wedge (q \vee r)] \vee [\sim r \wedge \sim q \wedge p]$ is equivalent to
The symbolic form of the following circuit is (where $p$ and $q$ represent switches $S_{1}$ and $S_{2}$ being closed respectively):
DifficultMHT CET 2020
View SolutionThe dual of the converse of the inverse of the logical statement $p \to (q \to r)$ is equivalent to...
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
$(S1): (p \Rightarrow q) \vee ((\sim p) \wedge q)$ is a tautology
$(S2): (q \Rightarrow p) \Rightarrow ((\sim p) \wedge q)$ is a contradiction
DifficultJEE MAIN 2023
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