JEE PYQ: Mathematical Reasoning Question 17
Question 17 - 2020 (05 Sep Shift 1)
The negation of the Boolean expression $x \leftrightarrow \sim y$ is equivalent to:
(1) $(x \wedge y) \vee (\sim x \wedge \sim y)$
(2) $(x \wedge y) \wedge (\sim x \vee \sim y)$
(3) $(x \wedge \sim y) \vee (\sim x \wedge y)$
(4) $(\sim x \wedge y) \vee (\sim x \wedge \sim y)$
Type: MCQ
Show Answer
Answer: (1)
Solution
$p: x \leftrightarrow \sim y = (x \to \sim y) \wedge (\sim y \to x) = (\sim x \vee \sim y) \wedge (y \vee x)$
Negation of $p$: $\sim p = (x \wedge y) \vee (\sim x \wedge \sim y)$
BETA
