JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1

The following statement

(p \rightarrow q) \rightarrow[(\sim p \rightarrow q) \rightarrow q]

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Correct option: D

A tautology

Option D (A tautology) is correct because the given statement simplifies to

(p \rightarrow q) \rightarrow (p \rightarrow q)

, which is always true regardless of the truth values of p and q.

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