The compound statement p→∼q∨p∧q is logically equivalent to

Correct answer: (C) Tautology. We know that ∼p→∼q≡p∧∼∼q≡p∧q ∴ Given statement is p→∼q∨∼p→∼q which is a tautology as p∨~p≡t

Q27 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

The compound statement $(p \to \sim q) \lor (p \land q)$ is logically equivalent to

We know that

\sim (p \to \sim q) \equiv p \land \sim (\sim q) \equiv p \land q

∴

Given statement is

(p \to \sim q) \lor \{\sim (p \to \sim q)\}

which is a tautology

\{a s p \lor (~ p) \equiv t\}

Hence, the correct answer is option: 'C'.