JEE Main 2020MathematicsMathematical ReasoningEasyMCQ

JEE Main 2020 — Mathematical Reasoning Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

Which of the following statement is a tautology?

Choose an option

Show full solutionCorrect option: D
Correct answer
D~p∨~q→p∨q

Step-by-step explanation

From De Morgan's Law,

~p∨q=~p∧~q

p→q=~p∧~q

~p∧q→p∨q

=~~p∧q∧~p∧~q

=~~p∧f

=~f=t, where f is contradiction and t is tautology.

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About this question

This is a previous-year question from JEE Main 2020, 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.