Practice Example of Representing Statements - 9.3 | 9. Rules of Inferences in Predicate Logic - part A | Discrete Mathematics - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Translate 'Every bird in the park can fly' into predicate logic.

💡 Hint: Consider how 'every' indicates universal quantification.

Question 2

Easy

What does the notation ∃x (C(x) ∧ S(x)) represent?

💡 Hint: Look for 'some' to guide you to existential quantification.

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 does the expression ∀x (S(x) → C(x)) signify?

  • Some students have studied calculus.
  • All students in CS201 have studied calculus.
  • No students in CS201 have studied calculus.

💡 Hint: Recall the meaning of 'for all' in logic.

Question 2

True or False: The expression ∃x (S(x) ∧ C(x)) can be true even if no students have studied calculus.

  • True
  • False

💡 Hint: Consider how 'some' applies in logic contexts.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Determine the logical expression for 'All animals in the zoo can swim if they are mammals.'

💡 Hint: Focus on the logical relation indicated by the word 'if'.

Question 2

If no cats can climb trees translates to 'No cat is a tree climber,' express it in logical notation.

💡 Hint: Identify the logical structure in the original statement.

Challenge and get performance evaluation