JEE Main 2018 — Mathematical Reasoning Question with Solution
From: JEE Main 2018 (Online) 15th April Morning Slot
Question
If (p q) (p r) p q is false, then the truth values of and are, respectively :
Choose an option
Show full solutionCorrect option: B
Correct answer
BT, F, T
Step-by-step explanation

From the truth table you can see (p ~q) (p r) ~p q is false only when values of (p, q, r) is (T, F, T).
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This is a previous-year question from JEE Main 2018, 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.