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Reasoning

Quiz by Carl Lozar

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10 questions
Show answers
  • Q1
    What is inductive reasoning?
    The process of testing a hypothesis.
    Inductive reasoning is the process of finding a specific pattern and applying it to a larger, more universal case called a conjecture.
    A logical argument that does not involve patterns.
    A method of proving theorems directly.
    30s
  • Q2
    What is a hypothesis in a conditional statement?
    The hypothesis is the 'if' part of a conditional statement.
    The 'then' part of the statement.
    The conclusion drawn from the statement.
    The overall statement without conditions.
    30s
  • Q3
    What is an example of a conditional statement?
    All birds can fly.
    Raining is a natural phenomenon.
    Clouds are always present.
    If it is raining, then there are clouds in the sky.
    30s
  • Q4
    What is the purpose of using counterexamples?
    They provide proof for the conjecture.
    They define a new theorem.
    They illustrate examples of inductive reasoning.
    Counterexamples are used to disprove a conjecture.
    30s
  • Q5
    Which of the following describes a conclusion in a logical argument?
    The premise that supports the statement.
    The assumption made in a counterexample.
    The initial hypothesis before the 'then'.
    The conclusion is the 'then' part of a conditional statement.
    30s
  • Q6
    What is the relationship between premises and conclusions in deductive reasoning?
    Premises and conclusions are unrelated.
    If the premises are true, the conclusion must also be true.
    Conclusions can only be true if premises are incorrect.
    Conclusions can be true even if premises are false.
    30s
  • Q7
    What is a theorem in geometry?
    A theorem is a statement or proposition that can be proven based on previously established statements or properties.
    A definition of geometric terms.
    A conjecture that has not yet been tested.
    An assumption made without proof.
    30s
  • Q8
    What does deductive reasoning use to form arguments?
    Random observations and experiences.
    Facts, definitions, and accepted properties.
    Personal beliefs and assumptions.
    Only mathematical formulas.
    30s
  • Q9
    What are the two parts of a conditional statement?
    Argument and proof.
    Hypothesis and conclusion.
    Fact and assumption.
    Premise and conclusion.
    30s
  • Q10
    Which statement is an example of a conditional statement?
    It is raining outside.
    If it is raining, then there are clouds in the sky.
    Clouds are present in the sky.
    It is sunny today.
    30s

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