iCON Education - Mathematical Reasoning BITSAT Test

Question 1: Palette 1/3

BITSAT 2025 MCQ

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

$\sim p \vee q$

Question 2: Palette 2/3

BITSAT 2024 MCQ

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 $

Question 3: Palette 3/3

BITSAT 2021 MCQ

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)