JEE Main 2019MathematicsMathematical ReasoningEasyMCQ

JEE Main 2019 — Mathematical Reasoning Question with Solution

JEE Main 2019 (09 Jan Shift 2)

Question

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

Choose an option

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

Step-by-step explanation

~~p∨q∨p∧r∧~q∧r

=p∧~q∨p∧r∧~q∧r

By distributive law

=p∧~q∨r∧~q∧r

p∧~q∧r≡p∧r∧~q

=p∧∼q∧r

By Associative law

=p∧r∧~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.