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JEE Main 20209 JanuaryEvening Shift

Exam: JEE Main
Year: 2020
Date: 9 January
Shift: Evening Shift
Subject: Mathematics
Chapter: Mathematical Reasoning

JEE Main 2020 · 9 January · Evening Shift · Mathematics · Mathematical Reasoning

If p → (p ∧ ~ q) is false, then the truth values of p and q are...

If

p \to

\left(p ∧ ~ q\right)

is false, then the truth values of

p and

q

are respectively

Options

A $F, F$
B $T, F$
C $T, T$
D $F, T$

Correct answer

C. $T, T$

Step-by-step solution

$p$	$q$	$∽ q$	$p ∧ ∽ q$	$p ⟶ \left(p ∧ ∽ q\right)$
$T$	$T$	$F$	$F$	$F$
$T$	$F$	$T$	$T$	$T$
$F$	$T$	$F$	$F$	$T$
$F$	$F$	$T$	$F$	$T$

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