JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Application +4 | -1

p, q

are true statements and

r, s

are false statements, then the truth value of

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

View answer and explanation

Correct option: B

Option B (0) is correct because by substituting the truth values of

p, q, r,

and

s

into the expression and simplifying, we find the truth value to be false (0).

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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)

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