Discrete Mathematics Quiz By: Layth Adeeb
Welcome To Discrete Mathematics QuizDesigned By Layth AdeebCihan University / Faculty of Computer Science / First Semester
- 1.
"Baghdad is the Capital of Iraq" choose all that apply
- A.
It is a Statement
- B.
The Truth Value of the Proposition is True
- C.
The Truth Value of the Proposition is False
- D.
It is a proposition
Correct Answer(s)
A. It is a Statement
B. The Truth Value of the Proposition is True
D. It is a propositionExplanation
The given answer is correct because it correctly identifies that the statement "Baghdad is the Capital of Iraq" is indeed a statement. It also correctly states that the truth value of the proposition is true, meaning that the statement is factually correct. Lastly, it correctly identifies that the statement is a proposition, which is a declarative sentence that can be either true or false.Rate this question:
-
- 2.
"Please Charge my Phone" choose one of the following answers
- A.
It is a Statement
- B.
It is a Proposition
- C.
It's a Request (only Statements can be Propositions)
- D.
The Truth Value of the proposition is True
Correct Answer
C. It's a Request (only Statements can be Propositions)Explanation
The given answer states that "Please Charge my Phone" is a request and not a proposition. This is because propositions are statements that can be either true or false, whereas a request is not a statement that can be evaluated for truth value. Therefore, "Please Charge my Phone" cannot be a proposition and is instead classified as a request.Rate this question:
-
- 3.
"x<y if and only if y>x". why we consider this statement as a proposition?
- A.
Because the Value of x is greater than y
- B.
Because its Truth value does not depend of specific values of x and y
- C.
Because the Value of x is less than y
- D.
Because x and y are variables
Correct Answer
B. Because its Truth value does not depend of specific values of x and yExplanation
The statement "xx" is considered a proposition because its truth value does not depend on specific values of x and y. This means that regardless of what values x and y take, the statement will always be either true or false. The truth value of the statement is solely determined by the relationship between x and y, not their actual numerical values.Rate this question:
-
- 4.
"y>5" This Statement is not a Proposition Because y is a ___________
Correct Answer
Variable
unknown
not defined
changableExplanation
The statement "y>5" is not a proposition because "y" is a variable. A proposition is a statement that is either true or false, but since "y" is not defined or given a specific value, it cannot be determined whether the statement is true or false. Therefore, it is not a proposition.Rate this question:
- 5.
A statement that is always true
- A.
Tautology
- B.
Contradiction
Correct Answer
A. TautologyExplanation
A tautology is a statement that is always true, regardless of the truth values of its individual components. This means that every possible combination of truth values for the components will result in the statement being true. In contrast, a contradiction is a statement that is always false. Therefore, the correct answer is "Tautology" because it accurately describes a statement that is always true.Rate this question:
-
- 6.
Which of the following formulas Belong to the Contradiction
- A.
R∨(¬r)
- B.
R∧(¬r)
- C.
¬(¬(p∧q)↔(¬p)∨(¬q))
- D.
¬(p∧q)↔(¬p)∨(¬q)
Correct Answer
B. R∧(¬r)Explanation
The formula r∧(¬r) belongs to the contradiction. This is because the formula represents the logical conjunction of a proposition r and its negation (¬r). In classical logic, a contradiction occurs when a statement and its negation are both true. In this case, if r is true, then (¬r) is false, and if r is false, then (¬r) is true. Therefore, the formula r∧(¬r) is always false, making it a contradiction.Rate this question:
-
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Mar 22, 2023Quiz Edited by
ProProfs Editorial Team -
Jan 08, 2015Quiz Created by
Layth Slewa
- 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