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| Poles |
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| Two 20 foot poles are standing in the middle of a field. Each end of a 30 foot rope is attached to the top of the poles so that the rope hangs down. The lowest point on the rope is 5 feet above the ground. How far apart are the poles? (Hint: The rope forms a hypocycloid.) |
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| Bricks |
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| What is the greatest overhang that can be achieved by stacking identical bricks on top of each other? (Hint: Start at the top) |
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| Exponents |
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 = 3. What is x? |
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| Prime Palindrome |
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| Prove that for a palindrome number of more than 3 digits to be prime, the number of digits in the number must be odd. |
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| The Census Taker |
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| During a recent census, a man told the census taker that he had three children. When asked their ages, he replied, "The product of their ages is 72. The sum of their ages is the same as my house number." The census taker ran to the door and looked at the house number. "I still can't tell," she complained. The man replied, "Oh, that's right. I forgot to tell you that the oldest one likes chocolate pudding." The census taker promptly wrote down the ages of the three children. How old are they? |
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| Boiling an Egg |
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| With a 7 minute hourglass and an 11 minute hour glass, what is the fastest way to time a 15 minute boiling egg? |
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| Dancers |
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Each man dances with 3 women.
Each woman dances with 3 men.
Each man has 2 partners in common with each other man.
How many men and women are there? |
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| Train |
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| A man standing on the platform notices that a train going in 1 direction takes 3 seconds to pass him and a train in the other direction takes 4 seconds. How long does it take for the trains to pass each other? |
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| Express Train |
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| An express train takes 3 seconds to enter a tunnel which is 1 km long. If it is traveling at 120 km/hour, how long will it take it to completely pass through the tunnel? |
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| Pensioners |
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| If 70 percent have lost an eye, 75 percent have lost an ear, 80 percent have lost an arm, and 85 percent have lost a leg, what is the least percentage of pensioners that must have lost all of 4? |
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| Marbles |
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| There are 12 marbles. One of them weighs either more or less than the others. In 3 weighings on a balance scale, find out which marble has a mass different from the rest. |
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| Gold |
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| There are 10 cities in a Kingdom. Each city must give the king 10 blocks of gold, with each block weighing 10 lbs. The King gets a tip that one city is shaving off 1 oz from each block of gold. With only one weighing on a digital scale, find the city that is cheating. |
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| Dots |
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In a kingdom, far, far away, there is a King who sets out to find a prince for his daughter. After a long search, he narrows it down to three candidates. In order to choose the smartest one, the King offers them a puzzle. There are two cans of red and white paint. After the candiates are blindfolded, the King places his finger in one of the paint cans and draws a dot on their foreheads. The blindfolds are removed and the King tells them to sit down if they see two red dots. All three candidates sit down. Next, the King tells them that the first person to stand up and correctly say what color dot is on his forehead, wins. However, if he is wrong, he will die. After some time, one candidate stands up and correctly identifies the color of his dot.
The question is: how many red dots were there and what color dot does the winner have? |
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| Fish |
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Einstein wrote this quiz last century. He said that 98% of the people in
the world cannot solve the quiz.
Facts:
- There are 5 houses in 5 different colors.
- In each house lives a person with a different nationality.
- These 5 owners drink a certain type of beverage, smoke a certain brand of cigar and keep a certain pet.
- No owners have the same pet, smoke the same brand of cigar or drink the same drink.
Here's the question: Who owns the fish?
Hints:
- The Brit man lives in a red house.
- The Swede keeps dogs as pets.
- The Dane drinks tea.
- The green house is on the left of the white house.
- The green house owner drinks coffee.
- The person who smokes Pall Mall rears birds.
- The owner of the yellow house smokes Dunhill.
- The man living in the house right in the center drinks milk.
- The Norwegian lives in the first house.
- The man who smokes Blend lives next to the one who keeps cats.
- The man who keeps horses lives next to the man who smokes Dunhill.
- The owner who smokes Blue Master drinks beer.
- The German smokes Prince.
- The Norwegian lives next to the blue house.
- The man who smokes Blend has a neighbor who drinks water.
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