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Logic Propositions Quiz
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Logic Propositions Quiz

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Questions and Answers

What characteristic do all snowflakes share?

  • They form from raindrops.
  • They consist of irregular patterns.
  • They have a circular shape.
  • They contain sixfold symmetry. (correct)

    • Which of the following animals is known for having spots?

  • Tiger
  • Zebra
  • Hyena (correct)
  • Cat

    • What do the patterns on animals like leopards and giraffes represent?

  • Random markings with no purpose.
  • Signs of aging in the animals.
  • Camouflage against predators.
  • Mathematical regularities in biological growth. (correct)

    • What is the result of the conjunction of two true propositions?

    <p>It is true.</p> Signup and view all the answers

    In which geographical areas can the mathematical landscapes of sand dunes be predominantly found?

    <p>Arabian and Sahara deserts.</p> Signup and view all the answers

    Which logical connective is represented by the symbol ∧?

    <p>Conjunction</p> Signup and view all the answers

    What type of dune forms when the sand is slightly moist and has some vegetation?

    <p>Parabolic dunes.</p> Signup and view all the answers

    If proposition p is false and proposition q is true, what is the truth value of p ∧ q?

    <p>False</p> Signup and view all the answers

    What governs the formation of intricate natural patterns such as ocean waves and sand dunes?

    <p>Physics and mathematics.</p> Signup and view all the answers

    Which of the following phrases does NOT represent a conjunction of propositions?

    <p>p or q</p> Signup and view all the answers

    Which of the following statements is true about the patterns seen in aquatic animals?

    <p>Patterns help in camouflage and signaling.</p> Signup and view all the answers

    Given the propositions: p: 5 is greater than 3; q: 4 is less than 2. What is p ∧ q?

    <p>False</p> Signup and view all the answers

    What is NOT a feature of the snowflake's atomic geometry?

    <p>Irregular formation.</p> Signup and view all the answers

    If both propositions in a conjunction are false, what is the result of the conjunction?

    <p>False</p> Signup and view all the answers

    Which example demonstrates a true conjunction?

    <p>The sky is blue and grass is green</p> Signup and view all the answers

    In the statement 'Manny Pacquiao is a boxing champion and Gloria Macapagal Arroyo is the first female Philippine President', what is the truth value of this conjunction?

    <p>False</p> Signup and view all the answers

    What is the first step in Polya's Four-Step Problem-Solving process?

    <p>Understanding the problem</p> Signup and view all the answers

    In which step of Polya's problem-solving process is the strategy of 'Guess and Check' utilized?

    <p>Devising a plan</p> Signup and view all the answers

    Why did the total number of feet decrease in the second table of the Carry Out the Plan step?

    <p>The number of cows was too low</p> Signup and view all the answers

    What do the numbers in a magic square of order 3 add up to in each row, column, or diagonal?

    <p>15</p> Signup and view all the answers

    What characterizes the arrangement in a magic square?

    <p>Same sum across rows, columns, and diagonals</p> Signup and view all the answers

    What is the goal of the Looking Back step in Polya's Four-Step Problem process?

    <p>To check the solution against the problem</p> Signup and view all the answers

    What can be inferred about the common characteristics in solving problems using Polya's method?

    <p>Multiple strategies can be applied</p> Signup and view all the answers

    What key feature does the Lo Shu turtle’s markings represent in ancient Chinese mathematics?

    <p>A magic square</p> Signup and view all the answers

    Which of the following correctly describes a relation from set A to set B?

    <p>A relation is a subset of A×B.</p> Signup and view all the answers

    In the context of functions, what is the domain of a function?

    <p>The set of values that the function maps to other values.</p> Signup and view all the answers

    What condition must be satisfied for a relation to be classified as a function?

    <p>Each element of the domain corresponds to exactly one element in the range.</p> Signup and view all the answers

    Given the relation R = {(1, 3), (2, 4), (4, 6)}, what is the domain of R?

    <p>{1, 2, 4}</p> Signup and view all the answers

    What is the range of the function represented by R = {(3, 0), (3, 2), (7, 4), (9, 1)}?

    <p>{0, 1, 2, 4}</p> Signup and view all the answers

    Which of the following relations is NOT a function?

    <p>{(3, 0), (3, 2), (7, 4), (9, 1)}</p> Signup and view all the answers

    If sets A = {a, b, c, d} and B = {s, t, u, v}, what represents all possible pairings of A and B?

    <p>A × B</p> Signup and view all the answers

    In the set {(-2, 7), (-1, 3), (0, 1), (1, 5), (2, 5)}, what is the range?

    <p>{5, 3, 1, 7}</p> Signup and view all the answers

    What is the order of the magic square described that sums to 15?

    <p>3</p> Signup and view all the answers

    Which of the following numbers is NOT used in the range for the magic square with a magic sum of 18?

    <p>20</p> Signup and view all the answers

    Which statement best defines a proposition?

    <p>A statement that can be assigned a truth value.</p> Signup and view all the answers

    Which of the following is considered a compound proposition?

    <p>If it rains, then I will stay home.</p> Signup and view all the answers

    Which of the following pairs of logical connectives would ALL be considered as compound propositions?

    <p>all of the above</p> Signup and view all the answers

    Which of the following is NOT a palindromic number?

    <p>123</p> Signup and view all the answers

    How many times can each number be used in the magic square per the provided guidelines?

    <p>Two times</p> Signup and view all the answers

    Which proposition is an example of a simple proposition?

    <p>Manila is the capital of the Philippines.</p> Signup and view all the answers

    Study Notes

    Logical Statements

    • A proposition is a declarative sentence that can be either true or false.
    • The truth value of a proposition is its truthfulness or falsity.
    • A propositional variable is a variable that represents a proposition (e.g., p, q, and r).

    Compound Propositions

    • Compound propositions are formed by joining two or more simple propositions using logical connectives.
    • Logical connectives include "and," "or," "if then," "not," and "if and only if".
    • A simple proposition is a proposition that is not compound.

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    Mathematics In Our World PDF

    Description

    Test your understanding of logical statements and propositions with this quiz. Cover topics such as truth values, propositional variables, and compound propositions formed using logical connectives. Perfect for students learning the fundamentals of logic.

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