Discrete Mathematics Quiz By: Layth Adeeb

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  • 1/6 Questions

    A statement that is always true

    • Tautology
    • Contradiction
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About This Quiz

Welcome To Discrete Mathematics QuizDesigned By Layth AdeebCihan University / Faculty of Computer Science / First Semester

Discrete Mathematics Quiz By: Layth Adeeb - Quiz

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  • 2. 

    "Please Charge my Phone" choose one of the following answers

    • It is a Statement

    • It is a Proposition

    • It's a Request (only Statements can be Propositions)

    • The Truth Value of the proposition is True

    Correct Answer
    A. 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.

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  • 3. 

    "y>5"  This Statement is not a Proposition Because y is a ___________

    Correct Answer
    Variable
    unknown
    not defined
    changable
    Explanation
    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.

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  • 4. 

    "x<y if and only if y>x". why we consider this statement as a proposition?

    • Because the Value of x is greater than y

    • Because its Truth value does not depend of specific values of x and y

    • Because the Value of x is less than y

    • Because x and y are variables

    Correct Answer
    A. Because its Truth value does not depend of specific values of x and y
    Explanation
    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.

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  • 5. 

    Which of the following formulas Belong to the Contradiction

    • R∨(¬r)

    • R∧(¬r)

    • ¬(¬(p∧q)↔(¬p)∨(¬q))

    • ¬(p∧q)↔(¬p)∨(¬q)

    Correct Answer
    A. 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.

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  • 6. 

    "Baghdad is the Capital of Iraq"  choose all that apply

    • It is a Statement

    • The Truth Value of the Proposition is True

    • The Truth Value of the Proposition is False

    • It is a proposition

    Correct Answer(s)
    A. It is a Statement
    A. The Truth Value of the Proposition is True
    A. It is a proposition
    Explanation
    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.

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  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 08, 2015
    Quiz Created by
    Layth Slewa
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