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

  • A
    If $A \nsubseteq C$,then $A \nsubseteq B$ or $B \nsubseteq D$
  • B
    If $A \subset C$,then $A \subseteq B$ and $B \subseteq D$
  • C
    If $A \subseteq C$,then $A \subseteq B$ and $B \subseteq D$
  • D
    If $A \subseteq C$,then $B \subset A$ or $D \subset B$

Explore More

Similar Questions

Consider the following statements:
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
$r$: If current decreases, then voltage increases.
$s$: If current does not decrease, then voltage does not increase.
Which of the following pairs of statements have the same meaning?

Check whether the following sentence is a statement. Give reasons for your answer.
"Every set is a finite set."

The negation of the statement "If $I$ become a teacher,then $I$ will open a school" is:

Given the statement: "If you live in Delhi,then you have winter clothes."
Identify the following statements as contrapositive or converse of the given statement:
$(i)$ If you do not have winter clothes,then you do not live in Delhi.
$(ii)$ If you have winter clothes,then you live in Delhi.

The proposition $(\sim p) \vee (p \wedge \sim q)$ is equivalent to

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo