JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Understanding +4 | -1

Let

p, q

and

r

be the statements:

p

: city

X

is in U.P.

q:

city

X

is in India

r: p \rightarrow q

Contrapositive of

r

View answer and explanation

Correct option: A

if city

X

is not in India then

X

is not in U.P.

Option A (if city

X

is not in India then

X

is not in U.P.) is correct because it represents the contrapositive of the given conditional statement.

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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