JEE Main 2023MathematicsMathematical ReasoningEasyMCQ

JEE Main 2023 — Mathematical Reasoning Question with Solution

JEE Main 2023 (10 Apr Shift 1)

Question

The negation of the statement p∨q∧q∨~r is

Choose an option

Show full solutionCorrect option: B
Correct answer
B~p)∨r∧~q

Step-by-step explanation

Given,

p∨q∧q∨~r

Now negation of above expression will be,

~p∨q∧q∨~r

=~p∨q∨~q∨~r as ~A∧B≡~A∨~B

=~p∧~q∨~q∧r

=~p∧~q∨~q∧~p∧~q∨r

=~q∧~p∨r∧~q∨r

=~q∧~p∨r∧~q∧~q∨r

=~q∧~p∨r∧~q

=~p∨r∧~q

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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.