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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
State the arithmetic mean of the numbers 4 and 16.
💡 Hint: Add the numbers and divide by 2.
Question 2
Easy
Write the binary representation of 12.
💡 Hint: What powers of 2 do sum to 12?
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 the arithmetic mean of 6 and 14?
- 7
- 10
- 11
💡 Hint: Calculate the average.
Question 2
True or False: Every positive integer can be expressed as a sum of distinct powers of two.
- True
- False
💡 Hint: Think about how binary numbers work.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove by induction that for n = 2^k, the arithmetic mean is always greater than or equal to the geometric mean.
💡 Hint: Refocus on properly utilizing A and G through each inductive verification.
Question 2
Given that 8 guests know each other, can you prove that there is no celebrity?
💡 Hint: Break down the definitions clearly to find contradictions.
Challenge and get performance evaluation