Logic & Discrete Math Quiz

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Challenge your logic with discrete math questions.

Créé par

roshaida radzi

Malaysia

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Logic & Discrete Math Quiz


Logic & Discrete Math QuizVersion en ligne Challenge your logic with discrete math questions. par roshaida radzi 1 Which is the contrapositive of: If it rains, then the ground is wet? a If it rains, then the ground is not wet. b If the ground is wet, then it rains. c If the ground is not wet, then it does not rain. d If it does not rain, then the ground is not wet. 2 True/False: The compound statement (¬p ∧ ¬q) → ¬p is always true. a False b Depends on p and q c Both true and false d True 3 Construct a truth table for the compound proposition (p → q) ∧ (q → p). a p ∨ q b q → p c p → q d p ↔ q (p if and only if q) 4 Which logical connective represents exclusive OR (XOR)? a p ↔ q b p ∨ q c (p ∨ q) ∧ ¬(p ∧ q) d p ∧ q 5 Express 'Not all students submitted the assignment' in predicate logic. a ∃x ¬S(x) b ∀x S(x) c ¬∃x S(x) d ∃x S(x) 6 Which of the following is a tautology? a p ∧ ¬p b p → q c p ↔ q d p ∨ ¬p 7 A password rule: If a password has at least 8 characters, it must contain a digit. Which represents this rule? a p → q b q → p c ¬p → ¬q d p ↔ q 8 True/False: The converse and contrapositive of a conditional statement are logically equivalent. a Equivalent only when p and q are both true b False c Always equivalent d True 9 From p → q and p, what can you conclude? a p ∨ q b ¬q c q d p 10 Which argument is valid? a Some birds can fly. Penguins are birds. Therefore, penguins can fly. b If it snows, the school closes. The school is closed. Therefore, it snowed. c All cats are animals. All animals are mammals. Therefore, all cats are mammals. d If Ali studies, he passes. Ali does not study. Therefore, he does not pass.

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Logic & Discrete Math Quiz

Test

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Logic & Discrete Math QuizVersion en ligne

par roshaida radzi

Which is the contrapositive of: If it rains, then the ground is wet?

True/False: The compound statement (¬p ∧ ¬q) → ¬p is always true.

Construct a truth table for the compound proposition (p → q) ∧ (q → p).

Which logical connective represents exclusive OR (XOR)?

Express 'Not all students submitted the assignment' in predicate logic.

Which of the following is a tautology?

A password rule: If a password has at least 8 characters, it must contain a digit. Which represents this rule?

True/False: The converse and contrapositive of a conditional statement are logically equivalent.

From p → q and p, what can you conclude?

Which argument is valid?