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How can you split a pizza into 11 equal pieces, using just one clock?
The hour and minute hands of a clock overlap exactly 11 times throughout the day. Keeping the clock in the center of the pizza, just make the cuts along the lines defined by the hands during these times.
Two men come to a river. There is no bridge, the water is freezing cold and there is only one single-seated boat on the shore. However, both people succeed to cross the river. How is this possible?
The two men approach the river from the opposite shores.
Get from START to FINISH in this landscape maze, created by Matthew Haussler.
The solution is shown below.
Which tire does not move when the car turns right?
The answer is THE SPARE TIRE.
If you throw me from the window,
I will leave a grieving wife.
Bring me back but in the door,
And you’ll see someone giving life.
What am I?
The answer is THE LETTER N.
Three friends – A, B, and C, are playing ping pong. They play the usual way – two play at a time, the winner stays on the table, the loser lets the third one play. If you know that A played 10 matches in total, B played 15 matches in total, and C played 17 matches in total, who lost the second game?
A lost it. Since there have been (10 + 15 + 17) / 2 = 21 games played in total, and each player never misses 2 games in a row, the only way for A to play just 10 games is if he plays the 2nd, 4th, 6th, etc. games, and every time loses.
There are four troll brothers – Wudhor, Xhaqan, Yijlob, and Zrowag.
You must ask these brothers four YES/NO questions (one troll per question), and figure out their names. What questions would you ask?
Coming soon.
Prove that you can not cover the plane with infinite strips which have
Take a circle with radius 1 in the plane. A strip with width X covers at most an area of 2X of the circle. Therefore all strips cover at most an area of 2, which is smaller than the total area of the circle (~3.14).
Find a non-intersecting path between the two holes in this maze, which passes through each of the balls in the given order.
The solution is shown below.
52 cards – 2 of clubs to Ace of clubs, 2 of diamonds to Ace of diamonds, 2 of hearts to Ace of hearts, and 2 of spades to Ace of spades – are arranged in a deck. We shuffle them in the following manner:
Show that this method shuffles the deck uniformly, i.e. every permutation has the same chance to appear.
Notice that at all times the cards below the King of spades are shuffled uniformly. Therefore at the end, after we put the King of spades in a random place inside the deck, the entire shuffle will be uniform as well.
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