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Infinite Hotel: Hilbert's Paradox Quiz

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Infinite Hotel: Hilbert's Paradox: a General level Math quiz. Test your knowledge with 15 questions!

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Questions

Question 1

What happens if a new guest arrives at a full Hilbert Hotel?

A They move to the next room

B They cannot stay

C They must share a room

D The hotel is full

Question 2

What kind of set is the Hilbert Hotel?

A Finite set

B Infinite set

C Bounded set

D Empty set

Question 3

If all guests move to room n+1, which room becomes empty?

A Room 2

B Room 1

C Room 0

D Room 100

Question 4

Can an infinite hotel accommodate infinitely many new guests?

A Yes

B No

C Only if even

D Only if odd

Question 5

Which mathematician proposed this hotel paradox?

A Euclid

B Riemann

C Isaac Newton

D David Hilbert

📋 This quiz has 15 questions in total.