JEE Main 2019 — Mathematical Reasoning Question with Solution
From: JEE Main 2019 (Online) 10th April Evening Slot
Question
The negation of the Boolean expression ~ s (~r s) is equivalent to :
Choose an option
Show full solutionCorrect option: D
Correct answer
Ds r
Step-by-step explanation
~ s ( ~ r s)
(~s ~r) (~s s)
( ~s ~r) t
~s ~ r ~ (s r)
Negation of ~s (~r s) is s r
(~s ~r) (~s s)
( ~s ~r) t
~s ~ r ~ (s r)
Negation of ~s (~r s) is s r
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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.