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Hilbert's Hotel: The Infinite Paradox Quiz

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Hilbert's Hotel: The Infinite Paradox: a General level Math quiz. Test your knowledge with 14 questions!

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Questions

Question 1

In Hilbert's Hotel, if the hotel is full, can you add more guests?

A Yes

B Only one

C No

D Only if they are small

Question 2

What concept does Hilbert's Hotel illustrate?

A Probability

B Infinite sets

C Finite sets

D Geometry

Question 3

If the hotel is full and a new guest arrives, where does the guest in room n move?

A n*2

B n+2

C n+1

D n-1

Question 4

What happens if an infinite bus of guests arrives at a full infinite hotel?

A Only half fit

B They can all be accommodated

C Impossible

D It stays full

Question 5

Is the number of rooms in Hilbert's Hotel finite or infinite?

A Finite

B Infinite

C Countable but limited

D Unknown

📋 This quiz has 14 questions in total.