List of top Mathematics Questions on mathematical reasoning asked in KEAM

Which one of the following is not true?

Let \( p, q, r \) be three simple statements. Then \( \sim(p \lor q) \lor \sim(p \lor r) \equiv \)

Let \(p, q, r\) be three statements. Then \( \sim (p \vee (q \wedge r)) \) is equal to

For any two statements \(p\) and \(q\), the statement \( \sim(p \vee q) \vee (\sim p \wedge q) \) is equivalent to

Let \( p, q \) and \( r \) be any three logical statements. Which one of the following is true?

Let \( p, q \) and \( r \) be any three logical statements. Which one of the following is true?

Let \( p, q \) and \( r \) be any three logical statements. Which one of the following is true?