Let $A, B, C$ and $D$ be four nonempty sets. The contrapositive of 'if $A \subseteq B$ and $B \subseteq D$ then $A \subseteq C$' is
- AIf $A \nsubseteq C$,then $A \nsubseteq B$ or $B \nsubseteq D$
- BIf $A \subset C$,then $A \subseteq B$ and $B \subseteq D$
- CIf $A \subseteq C$,then $A \subseteq B$ and $B \subseteq D$
- DIf $A \subseteq C$,then $B \subset A$ or $D \subset B$
Explore More
Similar Questions
Which of the following statement patterns is a tautology?
$S_{1} \equiv \sim p \rightarrow (q \leftrightarrow p)$
$S_{2} \equiv \sim p \vee \sim q$
$S_{3} \equiv (p$ $\rightarrow q) \wedge (q$ $\rightarrow p)$
$S_{4} \equiv (q \rightarrow p) \vee (\sim p \leftrightarrow q)$
$S_{1} \equiv \sim p \rightarrow (q \leftrightarrow p)$
$S_{2} \equiv \sim p \vee \sim q$
$S_{3} \equiv (p$ $\rightarrow q) \wedge (q$ $\rightarrow p)$
$S_{4} \equiv (q \rightarrow p) \vee (\sim p \leftrightarrow q)$
Let $\Delta, \nabla \in \{\wedge, \vee\}$ be such that $( p \rightarrow q ) \Delta ( p \nabla q )$ is a tautology. Then
DifficultJEE MAIN 2023
View SolutionWhich of the following sentences are statements? Give reasons for your answer.
The product of $(-1)$ and $8$ is $8.$
The product of $(-1)$ and $8$ is $8.$
Easy
View SolutionWhich of the following is not logically equivalent to the proposition: "$A$ real number is either rational or irrational"?
Easy
View SolutionThe contrapositive of the statement "If $x \in A$ or $x \in B$,then $x \in A \cup B$" is:
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