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5/49 MCQs for:

Logic

Which of the following is equivalent to 'not p' in logic?

p → q.

p ∧ q.

p ∨ q.

¬p.

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

¬p ∨ ¬q.

¬p ∧ ¬q.

¬(p ∧ q).

p ∧ ¬q.

What is the value of ¬(p ∧ q) if p is false and q is true?

True.

Depends on the value of p and q.

Cannot be determined.

False.

Given the statements

p: Ben studies hard

q: Ben will pass his exams

The statement: “if Ben studies hard then he will pass his exams” is represented by:

p ∨ q.

p ∧ q.

⁻p ∧ q.

p → q.

Which of the following is equivalent to 'for all x, P(x)' in logic?

P(x).

∀x, P(x).

¬P(x).

∃x, P(x).