Question: Given the following premises:
N ⊃ (S ∨ K)
S ∨ K
S ⊃ (R ⊃ Q)
Answer Options:
a. S
b. (S ∨ K) ∨ N
c. ∼S ⊃ K
d. ∼N
e. (S ⊃ R) ⊃ Q
Answer: b. (S ∨ K) ∨ N
Question: Given the following premises:
(G ⊃ A) ∨ T
G
∼T
Answer Options:
a. A
b. G • ∼T
c. G ⊃ A
d. G ⊃ (A ∨ T)
e. G ⊃ (A ⊃ T)
Answer: b. G • ∼T
Question: Given the following premises:
∼(H • J)
K ∨ (∼H • J)
(M ∨ M) ⊃ (∼H • J)
Answer Options:
a. (K ∨ ∼H) • (K ∨ J)
b. ∼K ⊃ (∼H • J)
c. K
d. H ∨ J
e. ∼M
Answer: a. (K ∨ ∼H) • (K ∨ J)
Question: Given the following premises:
C ⊃ (H • M)
(T ⊃ S) ⊃ C
T
Answer Options:
a. (C ⊃ H) • M
b. T ⊃ (S • C)
c. (C ⊃ H) • (C ⊃ M)
d. S
e. (T ⊃ S) ⊃ (H • M)
Answer: e. (T ⊃ S) ⊃ (H • M)
Question: Given the following premises:
S ∨ (Q ∨ ∼C)
(∼Q ∨ ∼C) ⊃ M
T ⊃ (Q • C)
Answer Options:
a. S ⊃ M
b. S ∨ (Q ∨ C)
c. Q ∨ (∼C ⊃ M)
d. (Q ∨ C ⊃ M)
e. (T ⊃ Q) • (T ⊃ C)
Answer: c. Q ∨ (∼C ⊃ M)
Question: Given the following premises:
T ⊃ (∼B ∨ G)
∼P ⊃ T
F ⊃ (B ⊃ ∼P)
Answer Options:
a. F ⊃ (P ⊃ ∼B)
b. (F ⊃ B) ⊃ ∼P
c. F ⊃ (∼B ∨ ∼P)
d. B ⊃ T
e. ∼P ⊃ F
Answer: c. F ⊃ (∼B ∨ ∼P)
Question: Given the following premises:
∼W
C ∨ W
R ⊃ ∼(C ∨ W)
Answer Options:
a. R ⊃ (∼C • ∼W)
b. ∼R
c. C
d. (C ∨ W) ⊃ ∼R
e. ∼C ⊃ W
Answer: a. R ⊃ (∼C • ∼W)
Question: Given the following premises:
∼(F • J)
F ⊃ (H ∨ J)
(F • H) ∨ (F • J)
Answer Options:
a. F ⊃ H
b. F ⊃ (H ∨ J)
c. F ∨ (H ∨ J)
d. ∼F ⊃ ∼J
e. F
Answer: e. F
Question: Given the following premises:
H ∨ M
E ⊃ ∼(H ∨ M)
(H ⊃ D) • (M ⊃ O)
Answer Options:
a. ∼H ⊃ M
b. ∼E
c. H
d. M ⊃ O
e. D ∨ O
Answer: e. D ∨ O
Question: Given the following premises:
∼A ⊃ ∼S
E ⊃ (∼Q ⊃ ∼A)
∼Q
Answer Options:
a. ∼A
b. (E ⊃ Q) ⊃ ∼A
c. (E ⊃ A) ⊃ Q
d. ∼Q ⊃ S
e. A ∨ ∼S
Answer: c. (E ⊃ A) ⊃ Q
Question: Given the following premises:
Q ⊃ (∼N ∨ ∼P)
∼N ⊃ ∼P
P ⊃ ∼G
Answer Options:
a. ∼N ⊃ P
b. Q ⊃ ∼P
c. N ∨ P
d. ∼N ⊃ ∼G
e. G ⊃ ∼P
Answer: a. ∼N ⊃ P
Question: Given the following premises:
B
∼R ⊃ K
B ⊃ (K ⊃ E)
Answer Options:
a. (B ⊃ K) ⊃ E
b. ∼R ⊃ E
c. K ⊃ E
d. B ⊃ E
e. B ⊃ N
Answer: d. B ⊃ E