Which of the following statement is a contingency? - Vidyadip

MCQ

Which of the following statement is a contingency?

A
$(p \wedge \sim q) \vee \sim(p \wedge \sim q)$
B
$(p \wedge q) \leftrightarrow(\sim p \rightarrow \sim q)$
C
$(\sim q \wedge p) \vee(p \vee \sim p)$
D
$(q \rightarrow p) \vee(\sim p \leftrightarrow q)$

✓

Answer

(D) Consider option (B)

p	q	$\sim p$	$\sim q$	$p \wedge q$	$\sim p \rightarrow \sim q$	$\begin{array}{l}(p \wedge q) \leftrightarrow \\ (\sim p \rightarrow \sim q)\end{array}$
T	T	F	F	T	T	T
T	F	F	T	F	T	F
F	T	T	F	F	F	T
F	F	T	T	F	T	F

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