JEE Main 2023MathematicsMathematical ReasoningEasyMCQ

JEE Main 2023 — Mathematical Reasoning Question with Solution

JEE Main 2023 (15 Apr Shift 1)

Question

Negation of p∧q∧~p∧q is

Choose an option

Show full solutionCorrect option: A
Correct answer
A~p∧q∨p

Step-by-step explanation

Given,

Expression p∧q∧~p∧q

So, negation of the above expression will be,

~p∧q∧~p∧q

Now using demorgan's law ~A∧B≡~A∨~B & ~A∨B≡~A∧~B we get,

~p∧q∧~p∧q

≡~p∧q∧~p∨~q

≡~p∧q∧~p∨q∧~q

≡~p∧q∧~p∨F

≡~p∧q∧~p

≡~p∨~q∧~p

≡~p∨~q∨p

≡~p∨~q∨p

≡~p∧q∨p

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About this question

This is a previous-year question from JEE Main 2023, 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.