Practice Methods of Reasoning - 8.7 | 8. Mathematical Reasoning | ICSE Class 11 Maths
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8.7 - Methods of Reasoning

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define direct reasoning in your own words.

πŸ’‘ Hint: Think of a path without branches.

Question 2

Easy

What is an example of a counterexample for the statement 'All swans are white'?

πŸ’‘ Hint: Consider other colors of swans.

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 direct reasoning?

  • Reasoning through contradiction
  • Directly deriving conclusions from premises
  • Identifying counterexamples

πŸ’‘ Hint: Think of a straight path.

Question 2

True or False: A counterexample can help to prove a statement true.

  • True
  • False

πŸ’‘ Hint: Remember what a counterexample is for.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using indirect reasoning, prove that if two angles are supplementary, then each angle is less than 180 degrees.

πŸ’‘ Hint: Consider the properties of angles and their sum.

Question 2

Construct a universe of examples where 'All rectangles are squares' is false using counterexamples.

πŸ’‘ Hint: Remember the definitions of rectangles and squares.

Challenge and get performance evaluation