JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Let

A

B

C

and

D

be four non-empty sets. The contrapositive statement of
"If

A\, \subseteq \,B

and

B\, \subseteq \,D

, then

A\, \subseteq \,C

" is

View answer and explanation

Correct option: A

\mathrm{If}\,A\not \subseteq C,\,\mathrm{then}\,\,A\not \subseteq B\,\,\mathrm{or}\,\,B\not \subseteq D

Option A (

\mathrm{If}\,A\not \subseteq C,\\,\mathrm{then}\\ A\not \subseteq B\\,\mathrm{or}\\ B\not \subseteq D

) is correct because it correctly represents the contrapositive of the given statement.

More Questions from MATHEMATICAL REASONING

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p:A

q:A

\sqrt{3}

p

q

p \rightarrow q

{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

p

n

q:

n

p \Leftrightarrow q