JEE Main 2022MathematicsMathematical ReasoningEasyMCQ

JEE Main 2022 — Mathematical Reasoning Question with Solution

JEE Main 2022 (25 Jun Shift 2)

Question

The negation of the Boolean expression ~q∧p⇒~p∨q is logically equivalent to

Choose an option

Show full solutionCorrect option: C
Correct answer
C~p⇒q

Step-by-step explanation

To find negation of (~q∧p→~p∨q

Let ~q∧p=A & ~p∨q=B

~A→B   =~~A∨B =A∧~B

Using above formula be get

~q∧p∧~~p∨q  =~q∧p∧p∧~q

=A∧A  =A=~q∧p =p∧~q or ~p→q

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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.