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REVIEWER 11 Logic in general mathematics

Quiz by JONALD ROSARIO

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20 questions
Show answers
  • Q1
    What is the logical term for a statement that is always true, regardless of the truth values of its components?
    Disjunction
    Negation
    Tautology
    Contradiction
    30s
  • Q2
    Which of the following represents the logical AND operator?
    ¬
    ∧
    →
    ∨
    30s
  • Q3
    In a truth table, what is the output of an AND operation when one input is false?
    True
    False
    Undefined
    Always True
    30s
  • Q4
    What is the logical negation of the statement 'It is raining'?
    It is sunny
    It is cloudy
    It is raining
    It is not raining
    30s
  • Q5
    Which of the following is an example of a disjunction?
    A and B
    Not A
    If A then B
    A or B
    30s
  • Q6
    What does the logical implication 'A → B' mean?
    B is true if A is true
    A is true and B is true
    If A is true, then B is also true
    A is false or B is true
    30s
  • Q7
    What is the result of the logical expression 'True AND False'?
    False
    True OR False
    Undefined
    True
    30s
  • Q8
    In propositional logic, what is a contradiction?
    A statement that can be true or false
    A statement that is always false
    A statement that is always true
    A statement that is sometimes true
    30s
  • Q9
    What is the result of the logical expression 'Not (True OR False)'?
    True
    True OR True
    False
    Undefined
    30s
  • Q10
    What is the truth value of the statement 'A AND (B OR C)' if A is false, B is true, and C is false?
    True AND True
    Undefined
    False
    True
    30s
  • Q11
    Which of the following statements is an example of a tautology in logic?
    P and not P
    P or not P
    P implies Q
    not (P and Q)
    30s
  • Q12
    What is the logical negation of the statement 'All cats are black'?
    Not all cats are black
    No cats are black
    Some cats are black
    All cats are not black
    30s
  • Q13
    In a logical conditional statement, what does the term 'hypothesis' refer to?
    The 'if' part of the statement
    The 'then' part of the statement
    The contradiction
    The conclusion
    30s
  • Q14
    Which of the following is an example of a deductive reasoning statement?
    It's raining; I should take an umbrella.
    If it is red, it might be an apple.
    The sun rises in the east; therefore, it will rise tomorrow.
    All humans are mortal; Socrates is a human; therefore, Socrates is mortal.
    30s
  • Q15
    What is the result of the logical operation 'P and not P'?
    True
    Sometimes true
    Undetermined
    False
    30s

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