JEE Main 2016MathematicsMathematical ReasoningEasyMCQ

JEE Main 2016 — Mathematical Reasoning Question with Solution

JEE Main 2016 (03 Apr)

Question

The Boolean Expression p∧∼q ∨q∨∼p∧q is equivalent to

Choose an option

Show full solutionCorrect option: A
Correct answer
Ap ∨q

Step-by-step explanation

p ∧ ∼q ∨q∨∼p∧q

Set equivalent 

=A ∩B- ∪A- ∩B ∪B

=(A ∪B-A∩B)∪B

=A ∪B

Hence answer is p ∨q .

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About this question

This is a previous-year question from JEE Main 2016, 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.