Argument Construction quiz sample questions

Question: National’s improving efficiency or Enterprise’s reorganizing is a sufficient and necessary condition for Thrifty’s laying off workers, provided that Avis buys new cars.

Answer Choices: a. A ⊃ [(N ∨ E) ≡ T] b. A ⊃ [(N ∨ E) ⊃ T] c. [(N ∨ E) ≡ T] ⊃ A d. A ⊃ [(N ⊃ E) • (E ≡ N)] e. A ≡ [(N ∨ E) ⊃ T]

Answer: b. A ⊃ [(N ∨ E) ≡ T]

Question: In Proposition II, the main operator is a:

Answer Choices: a. Dot b. Tilde c. Horseshoe d. Triple bar e. Wedge

Answer: e. Wedge

Question: Given that A and B are true and X and Y are false, determine the truth value of Proposition II.

Answer Choices: a. True b. False

Answer: b. False

Question: In Proposition 2I, the main operator is a:

Answer Choices: a. Tilde b. Wedge c. Horseshoe d. Triple bar e. Dot

Answer: d. Triple bar

Question: The truth table for Statement II has how many lines?

Answer Choices: a. Two b. Eight c. Four d. Six e. Nine

Answer: c. Four

Question: Statement 2I: (L • ~E) ≡ (E • ~L) Statement 2I is:

Answer Choices: a. Self-contradictory b. Tautologous c. Consistent d. Contingent e. Inconsistent

Answer: d. Contingent

Question: Statement 3I: [K ⊃ (P ∨ ~R)] ≡ [K ⊃ (R • ~P)] Statement 3I is:

Answer Choices: a. Valid b. Self-contradictory c. Tautologous d. Inconsistent e. Contingent

Answer: b. Self-contradictory

Question: The truth table for Statement 3I has how many lines?

Answer Choices: a. Six b. Nine c. Eleven d. Eight e. Four

Answer: d. Eight

Question: Given the pair of statements: R ∨ S and S ⊃ ~R These statements are:

Answer Choices: a. Inconsistent b. Contradictory c. Invalid d. Logically equivalent

Answer: a. Inconsistent

Question: Given the pair of statements: (H ∨ J) ∨ (N • O) and (N ∨ H) ⊃ ~J

Answer Choices: a. Contradictory b. Valid c. Logically equivalent d. Consistent e. Inconsistent

Answer: a. Contradictory

Question: Given the argument: K ∨ B / K ≡ (D ∨ ~B) // K ⊃ D

Answer Choices: a. Invalid: fails in 1st line b. Invalid: fails in 2nd line c. Valid d. Invalid: fails in 4th line e. Invalid: fails in 3rd line

Answer: d. Invalid: fails in 4th line

Question: Given the argument: S ⊃ E / N ⊃ (~S ⊃ E) // N ⊃ E

Answer Choices: a. Invalid; fails in 5th line b. Invalid; fails in 6th line c. Valid d. Invalid; fails in 2nd line e. Invalid; fails in 3rd line

Answer: c. Valid

Question: Given the argument: G ⊃ (N • E) / H ⊃ N / K ⊃ ~E / (H • K) ≡ G

Answer Choices: a. Valid b. Invalid c. Uncogent d. Cogent e. Sound

Answer: b. Invalid

Question: Given the argument: J ⊃ (E • Q) / ~Q ⊃ L / (E ∨ M) ⊃ (L ∨ ~Q) / M ∨ J // L

Answer Choices: a. Valid b. Invalid c. Sound d. Cogent e. Uncogent

Answer: a. Valid

Question: Given the statements: W ⊃ (E ∨ ~G) / A ⊃ (G ∨ ~E) / H ⊃ (A • W) / H • E

Answer Choices: a. Inconsistent b. Tautologous c. Invalid d. Logically equivalent e. Consistent

Answer: e. Consistent

Question: Given the statements: ~S ⊃ D / K ⊃ S / D ⊃ K / R ≡ (~S • C) / R ≡ C

Answer Choices: a. Contradictory b. Tautologous c. Consistent d. Inconsistent e. Valid

Answer: d. Inconsistent

Question: ~Q ∨ S ~Q ∴ S

Answer Choices: a. Disjunctive syllogism b. Modus ponens c. Invalid d. Modus tollens e. Denying the antecedent

Answer: c. Invalid

Question: (M ⊃ ~T) • (~H ⊃ T) T ∨ ~T ∴ ~M ∨ H

Answer Choices: a. Invalid b. Destructive dilemma c. Constructive dilemma

Answer: c. Constructive dilemma

Question: K G ⊃ ~K ∴ ~G

Answer Choices: a. Disjunctive syllogism b. Invalid c. Denying the antecedent d. Modus tollens e. Affirming the consequent

Answer: d. Modus tollens

Question: ~G ∨ ~B ∴ B

Answer Choices: a. Disjunctive syllogism b. Invalid c. Denying the antecedent d. Affirming the consequent e. Modus tollens

Answer: a. Disjunctive syllogism

Question: F ⊃ ~H H ⊃ ~T ∴ F ⊃ T

Answer Choices: a. Pure hypothetical syllogism b. Constructive dilemma c. Invalid d. Affirming the consequent e. Disjunctive syllogism

Answer: c. Invalid