JEE Main 2019MathematicsMathematical ReasoningEasyMCQ

JEE Main 2019 — Mathematical Reasoning Question with Solution

JEE Main 2019 (12 Jan Shift 1)

Question

The Boolean expression p∧q∨p∨~q∧~p∧~q is equivalent to

Choose an option

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

Step-by-step explanation

p∧q ≡b

p∨~q ≡a+b+d

~p∧~q ≡d

∴p∧q∨p∨~q≡a+b+d

p∧q∨p∨~q∧~p∧~q≡d≡~p∧~q

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About this question

This is a previous-year question from JEE Main 2019, 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.