In certain kingdom there are a lot of cities, it is known that all the distances between the cities are distinct. One morning one plane flew out of each city to the nearest city. Could it happen that in one city landed more than \(5\) planes?
Could you meet a person inhabiting this planet who asks you “Am I a Goop?"
On this planet you meet a couple called Tom and Betty. You hear Tom
ask someone: “Are Betty and I both Goops?"
What kind is Betty?
You learn that one of the aliens living on this planet is a wizard. You learnt that by overhearing a certain question being asked on the planet. What question could that have been?
Suppose you meet a person inhabiting this planet and they ask you “Am I a Crick?" What would you conclude?
You meet two friends, Katja and Anja. Katja once asked Anja “Is at
least one of us a Goop?"
What kinds are Katja and Anja?
You later learn that there is exactly one wizard on this planet of
Cricks and Goops. You would like to find out who that is.
You meet an alien called Andrew. He asks you “Am I the kind that could
ask whether I am not the wizard?"
Do you have enough information to tell for sure who the wizard is by
now?
You meet another alien, whose name is Teddy. He asks you “Am I the
kind who could ask whether I am a Goop?"
Can anything be deduced about Teddy?
You meet a couple, Dan and Daisy. Dan asks Daisy “Are you the kind
who could ask me whether I am a Goop?"
What can be deduced about Dan and Daisy?
You meet an alien (either a Crick or a Goop) called Bobby. He asks
you “Am I the kind who could ask whether the wizard is the kind who
could ask whether I (Bobby) am the wizard?"
Do you now know for sure who the wizard is?