JEE Main 2023MathematicsMathematical ReasoningEasyMCQ

JEE Main 2023 — Mathematical Reasoning Question with Solution

JEE Main 2023 (24 Jan Shift 2)

Question

Let p and q be two statements. Then ~(p∧(p→~q) is equivalent to

Choose an option

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

Step-by-step explanation

Given,

~(p∧(p→~q)

≡~p∨~(~p∨~q) as A→B≡~A∨B

≡~p∨(p∧q) as ~A∨B≡~A∧~B

≡(~p∨p)∧(~p∨q)

≡t∧(~p∨q)

≡~p∨q

≡(~p)∨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.