JEE Main 2019 — Mathematical Reasoning Question with Solution
From: JEE Main 2019 (Online) 12th April Morning Slot
Question
If the truth value of the statement p (~q r) is false (F), then the truth values of the statements p, q, r are
respectively :
Choose an option
Show full solutionCorrect option: C
Correct answer
CT, T, F
Step-by-step explanation
p ( ~ q r) ~ p ( ~ q r) ( ~ p ~ q) r ~ ( p q ) r
| p | q | r | (p q) r |
|---|---|---|---|
| T | T | T | T |
| T | T | F | F |
| T | F | T | T |
| T | F | F | T |
| F | T | T | T |
| F | T | F | T |
| F | F | T | T |
| F | F | F | T |
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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.