JEE Main 2019 — Mathematical Reasoning Question with Solution
From: JEE Main 2019 (Online) 9th April Morning Slot
Question
For any two statements p and q, the negation of
the expression
p (~p q) is :
p (~p q) is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B~p~q
Step-by-step explanation
[p (~p q)]
= p (( p q)
= p ( p q)
= ( p p ) ( p q)
= ( p q) [ as p p is always false)
= p (( p q)
= p ( p q)
= ( p p ) ( p q)
= ( p q) [ as p p is always false)
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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.