Mathematical Reasoning: Which of the following statement is a tautology ? | JEE Main 2022

JEE Main 2022 (Online) 27th June Evening ShiftQuestion 1

Which of the following statement is a tautology ?

Mathematical Reasoning

$((\sim q)\wedge p)\wedge q$$((\sim q)\wedge p)\wedge(p\wedge(\sim p))$$((\sim q)\wedge p)\vee(p\vee(\sim p))$✓ Correct answer$(p\wedge q)\wedge(\sim(p\wedge q))$

Solution

$p\vee\sim p$ is a tautology, so any statement ORed with it is a tautology; the others contain a contradiction conjunct.

Mathematical Reasoning - JEE Mathematics question (JEE Main 2022 (Online) 27th June Evening Shift)

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