1
BITSAT 2025
MCQ (Single Correct Answer)
+3
-1

The Boolean expression

$$ \sim(p \wedge q) \vee(p \wedge \sim q) \vee(\sim p \wedge \sim q) $$

is equivalent to

A

$p \wedge q$

B

$\sim p \wedge q$

C

$p \vee \sim q$

D

$\sim p \vee q$

2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The Boolean expression $ \sim(p \vee q) \vee(\sim p \wedge q) $ is equivalent to
A
$ p $
B
$ \sim q $
C
$ q $
D
$ \sim p $
3
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

Which of the following is always true?

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

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