JEE Main 2022MathematicsMathematical ReasoningEasyMCQ

JEE Main 2022 — Mathematical Reasoning Question with Solution

JEE Main 2022 (29 Jun Shift 2)

Question

Negation of the Boolean statement p∨q⇒~r∨p is equivalent to:

Choose an option

Show full solutionCorrect option: C
Correct answer
C~p∧q∧r

Step-by-step explanation

Given,

p∨q⇒~r∨p

≡~p∨q∨~r∨p

≡~p∧~q∨p∨~r

≡~p∨p∧~q∨p∨~r

≡~q∨p∨~r

So negation of~q∨p∨~r  is ~p∧q∧r.

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About this question

This is a previous-year question from JEE Main 2022, 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.