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Revise smart, understand Better

5/49 MCQs for:

Logic

Given the truth table in the figure, Y represents:

p ⟹ q.

⁻p ∧ q.

p ∨ q.

p ∧ q.

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

False.

Depends on the value of p and q.

Cannot be determined.

True.

p and q are two statements.

The truth table that represents the statement "p and q" is:

D.

A.

B.

C.

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

∃x, P(x).

∀x, P(x).

¬P(x).

P(x).

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.