Discrete Math (Midterm)
9 Questions
| Attempts: 921
Show your truth tables as solutions in a separate sheet.
Questions and Answers
- 1.
P → q is logically equivalent to
- A.
¬p ∨ ¬q
- B.
P ∨ ¬q
- C.
¬p ∨ q
- D.
¬p ∧ q
Correct Answer
C. ¬p ∨ q -
- 2.
P ∨ q is logically equivalent to
- A.
¬q → ¬p
- B.
Q → p
- C.
¬p → ¬q
- D.
¬p → q
Correct Answer
D. ¬p → q -
- 3.
¬ (p ↔ q) is logically equivalent to
- A.
Q↔p
- B.
P↔¬q
- C.
¬p↔¬q
- D.
¬q↔¬p
Correct Answer
B. P↔¬q -
- 4.
P ∧ q is logically equivalent to
- A.
¬ (p → ¬q)
- B.
(p → ¬q)
- C.
(¬p → ¬q)
- D.
(¬p → q)
Correct Answer
A. ¬ (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
Correct Answer
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)
Correct Answer
C. (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)
Correct Answer
A. 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
Correct Answer
C. (p ∧ q) → r -
- 9.
¬ (p ↔ q) is logically equivalent to
- A.
P ↔ ¬q
- B.
¬p ↔ q
- C.
¬p ↔ ¬q
- D.
¬q ↔ ¬p
Correct Answer
A. P ↔ ¬q -
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Jan 19, 2018Quiz Edited by
ProProfs Editorial Team -
Jan 18, 2018Quiz Created by
Auabellanosa
- Calculus Quizzes
- Data Handling Quizzes
- Decimal Quizzes
- Equation Quizzes
- Fraction Quizzes
- Function Quizzes
- Graph Quizzes
- Measurement Quizzes
- Multiplication Quizzes
- Number Quizzes
- Percentage Quizzes
- Place Value Quizzes
- Probability Quizzes
- Problem Solving Quizzes
- Ratio Quizzes
- Shape Quizzes
- Statistics Quizzes
- Trigonometry Quizzes
Back to top