Practice Part B - 6.6.2 | 6. Tutorial 1: Part I | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the negation of p = 'It is sunny' mean?

💡 Hint: Think about what it means to negate a statement.

Question 2

Easy

Translate the statement 'If it rains, then the ground is wet' into logical notation.

💡 Hint: Identify the 'if' and 'then' parts in your statement.

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 logical connective indicates if-then relationships?

  • And
  • Or
  • Implies
  • Negates

💡 Hint: Think about what happens in an if-then statement.

Question 2

Is the contrapositive of p → q logically equivalent to p → q?

  • True
  • False

💡 Hint: Think about the structure of contrapositives.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that if p ↔ q and ¬q → r, then p → r is also valid.

💡 Hint: Start with p ↔ q as two implications.

Question 2

If p is true, q as false, and r as true, determine the truth values for p → q, p ∨ r, and their implications.

💡 Hint: Use truth assignments and verify for each operation.

Challenge and get performance evaluation