Practice - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
What is the arithmetic mean of 2 and 8?
💡 Hint: Add the two numbers and divide by 2.
Convert the number 5 to binary.
💡 Hint: Think of it as sums of powers of 2.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the arithmetic mean represent?
💡 Hint: Think about how we calculate the average.
The geometric mean of numbers is always ____ the arithmetic mean.
💡 Hint: Remember the relationship between the two means.
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Challenge Problems
Push your limits with advanced challenges
Show that there are 10 distinct powers of two that sum to the number 1023.
💡 Hint: Start from the largest power of 2 that fits into 1023.
In the context of the celebrity problem, explain how you would test for a celebrity among 5 guests with minimum queries.
💡 Hint: Keep a tally of known relationships to eliminate non-celebrities.
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Reference links
Supplementary resources to enhance your learning experience.