JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Hard

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Application +4 | -1

S\left( {p,\;q,\;r} \right) = \left( { \sim P} \right) \vee \left[ { \sim \left( {q \wedge r} \right)} \right]

is a compound statement, then

S\left( { \sim p, \sim q,\; \sim r} \right)

View answer and explanation

Correct option: D

p \vee \left( {q \vee r} \right)

Option D (

p \vee \left( {q \vee r} \right)

) is correct because by applying De Morgan's laws and simplifying the expression, we arrive at this result.

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

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p \Leftrightarrow q