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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Mathematics
Chapter: Mathematical Reasoning

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

Which of the following is not a tautology?

Which of the following is not a tautology?

Options

A $\left(p ∧ q\right) \to \left(p ∨ q\right)$
B $p \to \left(p ∨ q\right)$
C $q \to \left(p \to q\right)$
D $p \to \left(p ∧ q\right)$

Correct answer

D. $p \to \left(p ∧ q\right)$

Step-by-step solution

$p$	$q$	$p ∧ q$	$p ∨ q$	$p \to q$	\left(A\right) $</th> <th>\left(B\right)$	\left(C\right) $</th> <th>\left(D\right)$
$T$	$T$	$T$	$T$	$T$	$T$	$T$	$T$	$T$
$T$	$F$	$F$	$T$	$F$	$T$	$T$	$T$	$F$
$F$	$T$	$F$	$T$	$T$	$T$	$T$	$T$	$T$
$F$	$F$	$F$	$F$	$T$	$T$	$T$	$T$	$T$

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