Discrete Math (Midterm)
9 Questions
| Total Attempts: 283
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Questions and Answers
- 1.P → q is logically equivalent to
- A.
¬p ∨ ¬q
- B.
P ∨ ¬q
- C.
¬p ∨ q
- D.
¬p ∧ q
- 2.P ∨ q is logically equivalent to
- A.
¬q → ¬p
- B.
Q → p
- C.
¬p → ¬q
- D.
¬p → q
- 3.¬ (p ↔ q) is logically equivalent to
- A.
Q↔p
- B.
P↔¬q
- C.
¬p↔¬q
- D.
¬q↔¬p
- 4.P ∧ q is logically equivalent to
- A.
¬ (p → ¬q)
- B.
(p → ¬q)
- C.
(¬p → ¬q)
- D.
(¬p → q)
- 5.Which of the following statement is correct?
- A.
P ∨ q ≡ q ∨ p
- B.
¬(p ∧ q) ≡ ¬p ∨ ¬q
- C.
(p ∨ q) ∨ r ≡ p ∨ (q ∨ r)
- D.
All options are correct
- 6.P ↔ q is logically equivalent to
- A.
(p → q) → (q → p)
- B.
(p → q) ∨ (q → p)
- C.
(p → q) ∧ (q → p)
- D.
(p ∧ q) → (q ∧ p)
- 7.(p → q) ∧ (p → r) is logically equivalent to
- A.
P → (q ∧ r)
- B.
P → (q ∨ r)
- C.
P ∧ (q ∨ r)
- D.
P ∨ (q ∧ r)
- 8.(p → r) ∨ (q → r) is logically equivalent to
- A.
(p ∧ q) ∨ r
- B.
(p ∨ q) → r
- C.
(p ∧ q) → r
- D.
(p → q) → r
- 9.¬ (p ↔ q) is logically equivalent to
- A.
P ↔ ¬q
- B.
¬p ↔ q
- C.
¬p ↔ ¬q
- D.
¬q ↔ ¬p
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