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JEE Main 20146 April

Exam: JEE Main
Year: 2014
Date: 6 April
Subject: Mathematics
Chapter: Mathematical Reasoning

JEE Main 2014 · 6 April · Mathematics · Mathematical Reasoning

The statement ∼(p ↔ ~ q) is

The statement

∼\left(p ↔ ~ q\right)

is

Options

AA tautology
BA fallacy
CEquivalent to $p ↔ q$
DEquivalent to $~ p ↔ q$

Correct answer

C. Equivalent to $p ↔ q$

Step-by-step solution

$p$	$q$	$~ q$	$p ↔ ~ q$	$~ \left(p ↔ ~ q\right)$	$p ↔ q$
$T$	$T$	$F$	$F$	$T$	$T$
$T$	$F$	$T$	$T$	$F$	$F$
$F$	$T$	$F$	$T$	$F$	$F$
$F$	$F$	$T$	$F$	$T$	$T$

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