Brain Teasers & Puzzles
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Consider a list of 2000 statements:
1) Exactly one statement on this list is false.
2) Exactly two statements on this list are false.
3) Exactly three statements on this list are false.
. . .
2000) Exactly 2000 statements on this list are false.
Which statements are true and which are false?What happens if you replace “exactly” with “at least”?
What happens if you replace “exactly” with “at most”?
What happens in all three cases if you replace “false” with “true”?
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Mr. Dutch, Mr. English, Mr. Painter, and Mr. Writer are all teachers at the same school. Each teacher teaches two different subjects. Furthermore:
three teachers teach Dutch language;
there is only one maths teacher;
there are two teachers for chemistry;
two teachers, Simon and Mr. English, teach history;
Peter does not teach Dutch language;
Steven is chemistry teacher;
Mr. Dutch does not teach any course that is taught by Karl or Mr. Painter.What is the full name of each teacher and which two subjects does each one teach?
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On a geography test you have to tell which of two German cities is greater in population for all possible pairs of the 80 largest cities of Germany. (And that’s the only task on the test since it’s already 5 pages long.) But you didn’t study last night, and only even recognise half the cities, and don’t even know how those are ordered relative to each other. Your friend on the other hand studied dutifully all night and recognises all the cities and even knows how two cities are ranked relative to each other 60% of the time.
A week later you get the test-result and you have a higher score than your friend. How come?
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There are three Federation Officers assigned to take three hostile aliens to “Peace Talks” on another planet. However, they must follow the following rules:
They have only one small space ship.
Only two individuals can ride in the space ship each time.
All Federation Officers can pilot the space ship, but only one alien can pilot the ship.
If at any time there are both Federation Officers and aliens on a planet, then there must always be more (or the same number of) Federation Officers than aliens on that planet. This is because if there are more aliens than Federation Officers, then the aliens will kill the Federation Officers. Count any individual in the space ship when it is on one planet as being on that planet.
The one space ship is the only means of transportation. There is no other way to get to the “Peace Talks”. No one can exit the space ship while it is in flight.
To start off, all the Federation Officers and aliens are on the same planet.Can all Federation Officers and aliens get to the other planet alive, and if so: how?
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A stopped clock gives the exact time twice a day, while a normally running (but out of sync) clock will not be right more than once over a period of months. A clever grandfather [as in grandfather clock] adjusted his clock to give the correct time at least twice a day, while running at the normal rate. Assuming he was not able to set it perfectly, how did he do it?
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