JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Which of the following is true for the statements

p

and

q

View answer and explanation

Correct option: D

-(p \vee q)

is true only when both

p

and

q

are false

Option D (

-(p \vee q)

is true only when both

p

and

q

are false) is correct because the negation of a disjunction is true only when both components are false.

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