JEE Main 2021 — Mathematical Reasoning Question with Solution
From: JEE Main 2021 (Online) 27th August Evening Shift
Question
The Boolean expression (p q) ((r q) p) is equivalent to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A(p q) (r q)
Step-by-step explanation
given statement says
"if p and q both happen then p and q and r will happen"
it simply implies "If p and q both happen then 'r' too will happen"
i.e.
"if p and q both happen then r and p too will happen
i.e.
(p q) (r p)
"if p and q both happen then p and q and r will happen"
it simply implies "If p and q both happen then 'r' too will happen"
i.e.
"if p and q both happen then r and p too will happen
i.e.
(p q) (r p)
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This is a previous-year question from JEE Main 2021, 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.