Find the component statements of the following and check whether they are true or not.
Chandigarh is the capital of Haryana and $UP$.
Chandigarh is the capital of Haryana and $UP$.
(N/A) The component statements are:
$p:$ Chandigarh is the capital of Haryana.
$q:$ Chandigarh is the capital of $UP$.
The first statement $p$ is true,as Chandigarh is the capital of Haryana.
The second statement $q$ is false,as the capital of $UP$ is Lucknow.
Since the connecting word is 'and',the compound statement is false.
$p:$ Chandigarh is the capital of Haryana.
$q:$ Chandigarh is the capital of $UP$.
The first statement $p$ is true,as Chandigarh is the capital of Haryana.
The second statement $q$ is false,as the capital of $UP$ is Lucknow.
Since the connecting word is 'and',the compound statement is false.
Explore More
Similar Questions
If the statements $p, q$ and $r$ are true,false and true statements respectively,then the truth value of the statement pattern $[\sim q \wedge (p \vee \sim q) \wedge \sim r] \vee p$ and the truth value of its dual statement respectively are
Which of the following statement patterns is a tautology?
Let $S$ be a non-empty subset of $R$. Consider the statement $p : x \in S$ is a rational number such that $x > 0$. Which of the following is the negation of $p$?
Medium
View SolutionThe Boolean expression $\sim(p \vee q) \vee (\sim p \wedge q)$ is equivalent to:
The simplified switching circuit for the following circuit is (Assume the circuit consists of two switches $S_1$ and $S_2$ in parallel, connected in series with a switch $S_3$):
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