JEE Main 2019 — Mathematical Reasoning Question with Solution
From: JEE Main 2019 (Online) 10th April Morning Slot
Question
Which one of the following Boolean expressions is a tautology?
Choose an option
Show full solutionCorrect option: B
Correct answer
B(p q) ( p ~ q)
Step-by-step explanation
(p q) (p ~ q)
= p (q p) ~ q
= (p p) (q ~ q)
= p T
= T so first statement is tautology
= p (q p) ~ q
= (p p) (q ~ q)
= p T
= T so first statement is tautology
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