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Revise smart, understand Better

5/49 MCQs for:

Logic

What does the universal quantifier (∀) represent?

There exists.

Some.

For all.

Not exists.

What is the value of (∀x)(x + 5 = 10) if the domain is all natural numbers (x ∈ ℕ)?

Depends on the value of x.

False.

True.

Cannot be determined.

Which of the following is the symbol for 'subset' in set theory?

∉.

⊂.

∈.

⊃.

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

Depends on the value of p and q.

False.

Cannot be determined.

True.

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

¬(p ∨ q).

¬p ∧ ¬q.

¬p ∨ ¬q.

(p ∧ ¬q) ∨ (¬p ∧ q).