For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
The school is closed if it is a holiday or a Sunday.
The school is closed if it is a holiday or a Sunday.
(A) In this statement,the "Or" is inclusive. The school remains closed if it is a holiday,if it is a Sunday,or if it is both (e.g.,a Sunday that is also a holiday). Since the condition is satisfied in all these cases,it is an inclusive "Or".
Explore More
Similar Questions
Let $r \in \{p, q, \sim p, \sim q\}$ be such that the logical statement $r \vee (\sim p) \Rightarrow (p \wedge q) \vee r$ is a tautology. Then $r$ is equal to
DifficultJEE MAIN 2022
View SolutionStatement-$I$: $\sim (p \leftrightarrow q)$ is equivalent to $(p \wedge \sim q) \vee (q \wedge \sim p)$.
Statement-$II$: $p$ $\rightarrow (p$ $\rightarrow q)$ is a tautology.
Statement-$II$: $p$ $\rightarrow (p$ $\rightarrow q)$ is a tautology.
The negation of $(p \land q) \to ((p \lor r) \to \sim q)$ is equivalent to ...
DifficultMHT CET 2026
View SolutionFor any two statements $p$ and $q,$ the negation of the expression $p \vee ( \sim p \wedge q)$ is
DifficultJEE MAIN 2019
View SolutionConsider the following three statements:
$P: 11$ is a prime number.
$Q: 7$ is a factor of $176$.
$R$: $LCM$ of $3$ and $7$ is $21$.
Then,the truth value of which one of the following statements is true?
$P: 11$ is a prime number.
$Q: 7$ is a factor of $176$.
$R$: $LCM$ of $3$ and $7$ is $21$.
Then,the truth value of which one of the following statements is true?
Vedclass 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