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You have a glass with perfectly cylindrical shape which has some water in it. How can you figure out if the glass is exactly half full without using any measurement tools (like a ruler)?
Use the geometry of the cylinder. Start tilting the glass until the water surface gets either to the top or the bottom edge. If the glass is exactly half full, then the surface should touch both edges simultaneously.
Get from START to FINISH, moving only over smooth lines, without reversing and making sharp turns.
The solution is shown below.
Cross out nine letters so that the remaining letters spell a single word.
N A I S N I E N L G E L T E T W E O R R S D
Cross out every other letter starting with the first one – N I N E L E T T E R S.
The remaining letters are – A S I N G L E W O R D.
If Sarah’s mother is Barbara, then Barbara is the ??? of Sarah’s mother.
The answer is NAME.
A town consists of 3 horizontal and 3 vertical roads, separated by 4 square blocks. A policeman and a thief are running along the roads with speeds of 21km/h and 10km/h respectively. Show that the policeman has a strategy ensuring he will eventually see the thief.
Remark: The policeman can see the thief if they are on the same road at some moment. He has no idea about his position at any time.
A working strategy for the policeman would be to go to the center and to start encompassing the four blocks clock-wise one by one, in a clockwise manner.
Since the policeman is twice as fast as the thief if the thief is in the center of the town at some point, then there exists a moment in which the policeman is in the center, and the thief is not on the boundary, i.e. he gets shot.
Now, assuming the thief never visits the center, his angle with respect to the coordinate system defined by the two middle roads changes continuously. The angle of the policeman with respect to the same coordinate system can be defined to change continuously as well. Since the policeman needs less time to increase his angle with 360 degrees than the thief, there will be a moment when the two have the same angle. However, this implies that the policeman will be able to see the thief and shoot him.
One early morning, a group of friends meets in their favorite café.
Ash, the biggest in the group, remarked :
“Must have been millions of years since we were all together, uh?”
Affie, who was wearing her brand new elephant pants, nodded. Anthony kept on complaining about the weather back home.
“Yeah, I am glad to be here with you, it is so cold at my place!”
Eugenie, who was saddened by the loss of a friend, was looking at Samuel and Namur, who were arguing about the possible future election of Donald Trump.
“These two are really inseparable”, she said to herself.
Octavia, the smallest among her friends, stood and spoke :
“Guys, I have a surprise for you! We’re going to the opera tonight!”
The waiter, waiting for the orders, wondered why these customers reminded him of something. But all of a sudden, he said:
“Ladies and gentlemen, may I suggest some sliced bread with butter, slices of cheese and ham? We also have croissants and other pastries. And for drinking, is coffee fine? We also have tea, of course, and orange and apple juice for you.”
Which is this group of friends, and what came to the waiter’s mind?
These are the seven continents – Ash (Asia), Affie (Africa), Anthony (Antarctica), Eugenie (Europe), Samuel (South America), Namur (North America), Octavia (Oceania). Their entire conversation consists of various hints. In the end, the waiter was thinking about bringing them Continental Breakfast.
You have a jar filled with water and a glass. If you pour some water into the glass and place a cork in it, the cork will float towards the edges of the glass. What is the easiest way to make the cork float towards the center?
Since the liquid molecules adhere to the glass molecules on the sides of the glass, the water level there is higher and buoyancy makes the cork float in that direction. If you fill the glass all the way to the edge, then the water surface will be convex and the cork will float towards the center.
What animal does this sum spell?
HORNET – NET + SEAL + ARM + CLOCK – ALARM CLOCK = HORSE
Scientists have discovered that on one particular date in the year, there is
February 29 – it happens only once every four years.
Look at the picture below and answer the following questions:
2. People are sowing the crops, so it is early spring.
8. Since it is spring, birds are flying North.
1. Since birds are flying North, the shadows are pointing East, and therefore it is morning.
4. Judging by the water around the buoy, the river is flowing South.
3. Since there is a buoy, the river must be navigable.
5. The fishing line is long, so the river must be deep.
6. There would not be a ferry if there was a bridge nearby.
7. The guy on the left looks like a railroad worker, so probably the railroad is nearby.
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