I loved today’s Abstruse Goose comic!
The alt text is: Not even an insatiable thirst for knowledge can compete with our innate affinity for cute fuzzy little animals.
Here’s an easy puzzle for you all (as taken from the “Mind Your Decisions” website):
The puzzle – consecutive integers
On a game show, two people are assigned whole, positive numbers.
Secretly each is told his number and that the two numbers are
consecutive. The point of the game is to guess the other number.
Here are the rules of the game:
-The two sit in a room which has a clock that strikes every minute on the minute
-The players cannot communicate in any way
-The two wait in the room until someone knows the other person’s number.
At that point, the person waits until the next strike of the clock and
can announce the numbers
-The game continues indefinitely until someone makes a guess
-The contestants win $1 million if correct, and nothing if they are wrong
Can they win this game? If so, how?
Every integer greater than 8 has at least two letters in common with each of its neighbours (source).
When the magician leaves the room, the trickees lay out eight coins in a row deciding which side is turned up according to their whim. They also think of a number between 1 and 8 inclusive. The magician’s assistant then flips exactly one of the coins, before inviting the magician back in. The magician looks at the coins and guesses the number that the trickees thought of.
“Last semester I offered my students $1,000,000 dollars. They
turned me down. This was lucky, despite the money and glamour of
academic mathematics, I do not have a million dollars. The game was
simple. The class of 100 each had to write a number. The highest number
won. Of course there was a catch, the prize was $1,000,000 divided by
the winning number. The best outcome for the students as a whole would
come if everyone wrote 1, $10,000 is not a bad return for a lecture. Of
course if everyone is writing 1, the person who writes 2 wins and makes
far more for themselves. What happened?” (Source)