ML Aggarwal 11th Math: Mathematical Reasoning Quiz
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Questions and Answers

Which of the following best describes the concept of a tautology in mathematical reasoning?

  • A statement that is sometimes false, depending on the truth values of its components
  • A statement that is always true, regardless of the truth values of its components (correct)
  • A statement that is sometimes true, depending on the truth values of its components
  • A statement that is always false, regardless of the truth values of its components

    • What is the contrapositive of the statement 'If a number is divisible by 3, then it is divisible by 6' in mathematical reasoning?

  • If a number is divisible by 6, then it is divisible by 3
  • If a number is not divisible by 6, then it is not divisible by 3
  • If a number is divisible by 6, then it is not divisible by 3
  • If a number is not divisible by 3, then it is not divisible by 6 (correct)

    • What is the negation of the statement 'If it is raining, then the ground is wet' in mathematical reasoning?

  • It is not raining and the ground is not wet
  • It is raining and the ground is wet
  • It is raining and the ground is not wet
  • It is not raining and the ground is wet (correct)

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