If $p, q, r$ are three statements and truth value of $p \wedge q \rightarrow r$ is $F$, then truth values of $p, q, r$ are respectively

JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

1 of 1

Application +4 | -1

p, q, r

are three statements and truth value of

p \wedge q \rightarrow r

F

, then truth values of

p, q, r

are respectively

View answer and explanation

Correct option: B

T, T, F

Option B (

T, T, F

) is correct because for

p \wedge q \rightarrow r

to be false,

p \wedge q

must be true and

r

must be false.

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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