Discrete Mathematics Quiz By: Layth Adeeb

By Layth Slewa
Layth Slewa, Cyber Security
Layth, a passionate and professional technical consultant in Mobile Communications and Cyber Security, combines expertise to excel in these crucial fields.
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Questions: 6 | Attempts: 848

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Discrete Mathematics Quiz  By: Layth Adeeb - Quiz

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


Questions and Answers
  • 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 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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  • 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.

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  • 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 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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  • 4. 

    "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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  • 5. 

    A statement that is always true

    • A.

      Tautology

    • B.

      Contradiction

    Correct Answer
    A. Tautology
    Explanation
    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.

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  • 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.

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Layth Slewa |Cyber Security |
Layth, a passionate and professional technical consultant in Mobile Communications and Cyber Security, combines expertise to excel in these crucial fields.

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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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