JEE Main 2018 — Mathematical Reasoning Question with Solution
From: JEE Main 2018 (Online) 16th April Morning Slot
Question
If p ( p q) is false, then the truth values of p and q are respectively :
Choose an option
Show full solutionCorrect option: D
Correct answer
DT, T
Step-by-step explanation
| p | q | ~p | ~q | ~p ~q | p (~p ~q) |
|---|---|---|---|---|---|
| T | T | F | F | F | F |
| T | F | F | T | T | T |
| F | T | T | F | T | T |
| F | F | T | T | T | T |
From the truth table,
p (~p ~q) is false only when p and q both are true.
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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.