JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1

If the truth value of the Boolean expression

\left( {\left( {p \vee q} \right) \wedge \left( {q \to r} \right) \wedge \left( { \sim r} \right) \to \left( {p \wedge q} \right)} \right)

is false, then the truth values of statements

p

q

and

r

respectively can be

View answer and explanation

Correct option: C

T F F

Option C (T F F) is correct because it satisfies the condition where the given Boolean expression evaluates to 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