JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Application +4 | -1

The negation of the statement

(p \vee q) \wedge(q \vee(\sim r))

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Correct option: B

((\sim p) \vee r)) \wedge(\sim q)

Option B

(((\sim p) \vee r)) \wedge(\sim q)

is correct because it is the correct negation of the given logical statement using De Morgan's laws and simplification.

More Questions from MATHEMATICAL REASONING

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p:A

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\sqrt{3}

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{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

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n

p \Leftrightarrow q