Practice Tautologies, Contradictions, and Contingencies - 8.5 | 8. Mathematical Reasoning | ICSE Class 11 Maths
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8.5 - Tautologies, Contradictions, and Contingencies

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a tautology?

💡 Hint: Think of statements that cannot be false.

Question 2

Easy

What does a contradiction mean?

💡 Hint: Reflect on statements that oppose each other.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is a tautology?

  • A statement that is always false
  • A statement that is sometimes true
  • A statement that is always true

💡 Hint: Look for a definition that confirms 'always'.

Question 2

True or False: A contradiction is always true.

  • True
  • False

💡 Hint: Reflect on what contradiction means.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that 'P ∨ ¬P' is a tautology using a truth table.

💡 Hint: Fill in for P being true and false systematically.

Question 2

Show that 'P → (Q ∨ R)' can be false by providing a specific situation.

💡 Hint: Consider scenarios where implications can fail.

Challenge and get performance evaluation