JEE Main 2023MathematicsMathematical ReasoningEasyMCQ

JEE Main 2023 — Mathematical Reasoning Question with Solution

JEE Main 2023 (10 Apr Shift 2)

Question

The statement ~p∨~p∧q is equivalent to

Choose an option

Show full solutionCorrect option: B
Correct answer
Bp∧q∧~p

Step-by-step explanation

Given,

~p∨~p∧q

Now we know that,

By demorgan law, ~A∨B≡~A∧~B

Now using above formula we get,

~p∨~p∧q

≡~p∧p∧q as ~~A≡A

≡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.