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5/49 MCQs for:

Logic

Which logical expression is equivalent to ¬(p ∧ q)?

¬p ∨ ¬q.

¬p ∧ ¬q.

¬(p ∨ q).

¬p → ¬q.

Which of the following is equivalent to 'p or q' in logic?

p ∧ q.

p ∨ q.

¬p.

p → q.

What is the value of ¬(¬p) if p is true?

Cannot be determined.

Depends on the value of p.

True.

False.

What is the value of (∃x)(x² = -1) if the domain is all real numbers (x ∈ ℝ)?

Cannot be determined.

True.

False.

Depends on the value of x.

Which of the following is equivalent to 'there exists x such that P(x)' in logic?

P(x).

∃x, P(x).

∀x, P(x).

¬P(x).