JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Application +4 | -1

p, q, r

are substatements with truth values.

T, T, F

then the Statement

r \rightarrow(p \wedge \sim q) \vee(\sim q \wedge \sim r)

will be

View answer and explanation

Correct option: A

TRUE

Option A (TRUE) is correct because when the truth values are substituted, the statement simplifies to F -> F, which is TRUE.

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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