JEE Main 2019MathematicsMathematical ReasoningEasyMCQ

JEE Main 2019 — Mathematical Reasoning Question with Solution

JEE Main 2019 (10 Apr Shift 2)

Question

The negation of the Boolean expression ~s∨~r∧s is equivalent to

Choose an option

Show full solutionCorrect option: B
Correct answer
Bs∧r

Step-by-step explanation

Negation of given statement is

=~~s∨~r∧s

Using De Morgan's law ~A∨B=~A∧~B

=~~s∧~~ r ∧s

Using double negation law ~~A=A, and De Morgan's law

=s∧~~r∨~s

=s∧r∨~s 

Using distributive law A∧B∨C=A∧B∨A∧C

=s∧r∨s∧~s

=s∧r∨F

=s∧r.

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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.