JEE Main 2019 — Mathematical Reasoning Question with Solution
From: JEE Main 2019 (Online) 11th January Morning Slot
Question
If q is false and p q r is true, then which one of the following statements is a tautology ?
Choose an option
Show full solutionCorrect option: D
Correct answer
D(p r) (p r)
Step-by-step explanation
Given q is F and (p q) r is T
p q is F which implies that r is F
q is F and r is F
(p r) is always F
(p r) (p r) is tautology.
p q is F which implies that r is F
q is F and r is F
(p r) is always F
(p r) (p r) is tautology.
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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.