Practice Question 2 (6.3) - Tutorial 1: Part I - Discrete Mathematics - Vol 1
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Question 2

Practice - Question 2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Identify the converse of the statement: 'If it is sunny, then I will go for a walk.'

💡 Hint: Switch the hypothesis and conclusion.

Question 2 Easy

Write the contrapositive of 'If there is a fire, the alarm will ring.'

💡 Hint: Negate both parts of the original statement.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the contrapositive of the statement 'If it rains, then the ground is wet'?

💡 Hint: Remember to negate and switch.

Question 2

True or False: The converse of 'If p then q' is 'If q then p'.

True
False

💡 Hint: Reflect on the definition of converse.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Analyze this statement: 'If a bird can fly (p), then it is an animal (q).' Construct all relevant forms and determine if they are logically equivalent.

💡 Hint: Consider examples of birds that cannot fly.

Challenge 2 Hard

Given the importance of the contrapositive, explore and create examples where the original statement is false but the contrapositive is true.

💡 Hint: Evaluate various individual scenarios.

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