JEE Main 2021MathematicsMathematical ReasoningLogical ConnectiveseasyMCQ

JEE Main 2021Mathematical Reasoning Question with Solution

From: JEE Main 2021 (Online) 16th March Morning Shift

Question

Which of the following Boolean expression is a tautology?

Choose an option

Show full solutionCorrect option: C
Correct answer
C(p q) (p q)

Step-by-step explanation

\matrix{ p & q & {p \wedge q} & {p \vee q} & {p \to q} & {(p \wedge q) \to (p \to q)} \cr T & T & T & T & T & T \cr F & T & F & T & T & T \cr T & F & F & T & F & T \cr F & F & F & F & T & T \cr }

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About this question

This is a previous-year question from JEE Main 2021, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.