JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

1 of 1

Analyzing +4 | -1

Consider

Statement-1:

(p \wedge \sim q) \wedge(\sim p \wedge q)

is a fallacy.

Statement-2:

(p \rightarrow q) \leftrightarrow(\sim q \rightarrow \sim p)

is a tautology.

View answer and explanation

Correct option: B

Statement-1 is true; Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

Option B is correct because Statement-1 is a fallacy, and Statement-2 is a tautology, but Statement-2 does not explain Statement-1.

More Questions from MATHEMATICAL REASONING

Practice All Chapter MCQs →

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