JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Application +4 | -1

The dual of the statement

[(p \vee q) \wedge \sim q] \vee(\sim q)

View answer and explanation

Correct option: D

[(p \wedge q) \vee-q] \wedge(-q)

Option D (

[(p \wedge q) \vee \sim q] \wedge (\sim q)

) is correct because the dual of a statement is found by interchanging

\wedge

and

\vee

, and interchanging T and F (which is not applicable here).

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