Practice Set of Integers Divisible by 5 but not by 7 - 9.4 | 9. Tutorial 5 | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

List three integers that belong to the set S.

💡 Hint: Think of multiples of 5.

Question 2

Easy

What is the first positive integer in set S?

💡 Hint: It's the smallest multiple of 5.

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

Which of the following integers is in set S?

  • 0
  • 35
  • 14

💡 Hint: Look for the multiples of 5 that do not involve 7.

Question 2

Is the set S countably infinite?

  • True
  • False

💡 Hint: Consider how many terms can be sequenced.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Show how to enumerate the first 50 elements of set S.

💡 Hint: Start from zero and count up and down in 5s, skipping those divisible by 7.

Question 2

Determine if the subset of the set S consisting of positive integers is still infinite.

💡 Hint: Reflect on the pattern established from the multiples.

Challenge and get performance evaluation