Question: If you continue to focus on the cross in the center of the image you will notice that .. the circle of violet circles will soon DISSAPPEAR completely .. and you will see only the green spot (which is actually violet).
Question:
Look at the chart above and say the COLOR of the word, not the word itself.
Why is it so difficult?
Question: You are standing in front of a room with one lightbulb inside of it. You cannot see if it is on or off. Outside the room there are 3 switches in the off positions. You may turn the switches any way you want to. You stop turning the switches, enter the room and know which switch controls the lightbulb. How?
Question: You have 10 trees and you have to plant them in five rows but each row must contain 4 trees. How is this possible?
Marble Contest (2/24/2007)
Five youngsters entered a contest to guess how many marbles were in a bowl. Alice guessed 45, Betty guessed 39, Chuck guessed 49, Dan guessed 50, and Ed guessed 47. One was off by 6, one by 5, one by 2, and one by 4. One was right.
Bug Speed (1/31/2007)
A caterpillar crawls at a speed of 21cm per hour towards a vegetable patch. After eating its fill it returns, over exactly the same distance, at only 7cm per hour.
Not including the eating time, what is the caterpillar's average speed over the entire journey?
Gold Chains (11/09/2004)
A woman wants to buy something at an auction where you bid grams of gold instead of money. She owns a length of gold chain (with 2 ends) made of 23 interlocking loops, each weighing 1 gram. She wants to go to a jeweler before the auction to cut the minimum number of loops that would allow her to pay any sum from 1 to 23. For example, she could pay a 13 gram price with a 12 link chain and a single link. After much thought, she figures out a way to do it by cutting just 2 of the loops in the chain. How many loops are in the pieces of chains that she has after the 2 cuts?
16 Numbers (11/08/2004)
Below there are sixteen numbers. Assuming that any three of the numbers may be drawn at random, what are the chances that three numbers will be drawn whose sum equals six?
1 2 3 1
2 3 1 2
3 1 2 3
1 2 3 1
Shuffled Decks (10/22/2004)
Two identical packs of 52 cards A and B are shuffled thoroughly. One card is picked from A and shuffled with B. The top card from pack A is turned up. If this is the Queen of Hearts, what are the chances that the top card in B will be the King of Hearts?
Bad Shipping (10/14/2004)
5 guys who live in apartments make orders from the same company. Unfortunately the shipping company delivered every order to the wrong apartment.
- Roger, who doesn't live in an end apartment, ordered the television set.
- Tom lived next door to the man who received the dishware.
- Mr. Weiseman, who didn't receive the automotive tools, lives two apartments from the man who ordered the downhill skis, and one apartment from Harry.
- Ed, whose last name isn't Smith, lives in apartment #3, didn't receive the automotive tools.
- Mr. Smith, who doesn't live in apartment #4, ordered the golf clubs but he received the item that Mr. Campbell ordered, which wasn't downhill skis.
- The bachelor in apartment #1, which isn't Tom, ordered what Al received.
- The man in apartment #2, who didn't receive the golf clubs, lives next door to where what he ordered was delivered.
- Mr. Bates didn't order the downhill skis.
- The television set was not delivered to Ed's apartment.
- Tom lives in apartment #5.
- Nothing is known about Mr. Harper.
More Jugs of Water (10/4/2004)
- You've got a 4 liter jug and a 9 liter jug.
- You've got a pool of water.
- What is the fewest number of steps it takes to come up with exactly 6 liters of water?
No, you cannot pour some water into the 9 liter jug and then guess. Nor can you fill each jug up half way or something. You have to be exact. A step is defined as pouring water into or out of a jug. For instance, filling the 4 liter jug and then pouring it into the 9 liter jug, and emptying the 9 liter into the pool is 3 steps.
Two Children (9/26/2004)
An acquaintance tells you she has two children and you ask her if at least one of them is a boy. She says yes. Assuming every birth has an equal chance of being male or female and you have no additional information about the children, what are the chances that both of her children are male?
100 Coins (9/13/2004)
What combination of 100 US coins add up to 500 ($5) without using nickels (5 cents). You can use silver dollars (100 cents), 50-cent pieces (50 cents), quarters (25 cents), dimes (10 cents), and pennies (1 cent). If you find one solution, can you find any more?
Birthday Ring (1/8/2004)
A man is buying a gold ring set with stones for his wife on her birthday. A ring set with 4 amethysts and 1 diamond comes to US$2,000. One with 3 emeralds, 1 amethyst and 1 diamond would be US$1,400. And one set with 2 rubies and 1 diamond would cost US$3,000. Being a thoughtful husband, he choses a ring with 4 stones, each representing one of their 4 children.
Pocket Change (12/4/2003)
[ Question for people who know the US coins. My apologies to any out of country visitors. ]
You and a friend pass by a standard coin operated vending machine and you decide to get a candy bar. The price is US$0.95 but after checking your pockets you only have a dollar (US$1) and the machine only takes coins.
You turn to your friend and have this conversation.
You: Hey, do you have change for a dollar?
Friend: Let's see... I have 6 US coins but, although they add up to US$1.15, I can't break a dollar.
You: Huh? Can you make change for half a dollar?
Friend: No.
You: How about a quarter?
Friend: Nope. And before you ask I can't make change for a dime or nickel either.
You: Really? And these 6 coins are all US government coins currently in production?
Friend: Yes.
You: Well can you just put your coins into the vending machine and buy me the candy bar, and I'll pay you back?
Friend: Sorry, I'd like to but I can't with the coins I have.
Kids Ages (5/1/2003)
At a party you overhear another guest asking the age of the hosts' 3 children. The host tells the guest that the product of his kids' ages is 72 and the sum of their ages is the same as the guest's house number. Now, the other guest obviously knows her own house number but, after thinking for a bit, she is forced to ask the host for additional information. The host then says that his oldest child likes strawberry ice cream and the other guest is able to say their ages. Even though you don't know the guest's house number, you have enough information.
Balloon In Car (03/31/2003)
You're sitting in a car that's not moving with a helium-filled balloon, which is resting up against the car's ceiling somewhere near its middle. The driver hits the gas and the car accelerates forward, throwing you back into your seat.
Fast Eddie (02/13/2003)
Fast Eddie the used car salesman sold a well used car for 30% more than it had cost him. The poor soul who bought the car was happy with the vehicle until it started breaking down a week later. The customer who bought the car went back to Fast Eddie and demanded he receive his money back. Eddie countered that the car had been used for a week, thus, no refund. However, Fast Eddie offered to buy the car back for 20% less than the customer paid for it. The customer agreed. Fast Eddie was then able to unload the car for the same amount that he initially paid for it.
Bananas to Market (02/13/2003)
A banana grower wants to transport his 3000 bananas 1000 miles across the desert to the market. All he can use is his one camel which can carry 1000 bananas at once but it needs to eat one banana to walk one mile (regardless of how many bananas it is carrying).
Passing Ships (2/3/2003)
You are taking a cruise Liverpool, England to New York City, USA. The passage takes an hour less than 7 days (167 hours) and then the ship is in port 23 hours before returning. The cruise line has ships which depart from NYC and Liverpool every day of the week at precisely 10:00 GMT. The ships all sail along the same route so as you make the passage, you will pass by other ships from the cruise line traveling in the opposite direction.
Finger in Glass (01/27/2003)
You have a glass of water sitting on a perfectly balanced scale. You put your finger into the glass and into the water. Your finger does not touch the glass, it only is submerged in the water. It makes the water go higher up the sides of the glass but it does not overflow.
Deep Hole (01/27/2003)
You come across a man digging a deep hole. "How deep is your hole" you ask. He replies "You'll have to guess but I can tell you that I'm 2 meters (200cm) tall". You then say "How much deeper are you going?" He answers, "I am half done. When the hole is done my head will be twice as far below ground as it is now above ground."
Water in the Berries (01/27/2003)
You have a large container of berries. When the berries were fresh, 99% of their weight was from the water in the berries. A test 3 days later showed that they had lost some of the water due to drying and were now only 98% water by weight.
Rock in Boat (8/6/2002)
You are sitting in a boat floating in a swimming pool. At the bottom of your boat is a heavy rock. You pick up the rock and drop it into water and it immediately sinks to the bottom of the pool.
Dropped Cooler (8/6/2002)
A guy is paddling a canoe up a stream at a constant speed (through the water). The water is flowing downstream at another constant speed (over ground). At some point a cooler falls out of the canoe into the water. After 10 minutes of paddling the guy notices that it is missing and turns around immediately and paddles downstream. While he is paddling downstream, he travels the same speed through the water as he did upstream. When he finally reaches the cooler, the cooler has traveled 1 kilometer from the spot where it fell out of the canoe.
Bird and Trains (8/6/2002)
Two trains are traveling towards each other on separate tracks. They are each traveling at 30kph. When the trains are 1 kilometer apart, a bird leaves one of the trains and flies towards the other at a speed of 120kph. When it reaches the other train it immediately turns around and flies back the other direction. It continues to do this back and forth until the trains reach each other.
Clock Face (1/3/2002)
You have an analog clock whose face is number in a circle from 1 to 12, with 12 facing "north", 3 "east", 6 "south", and 9 "west". You are allowed to draw two lines which go all the way across the clock face, and divide the numbers on the clock into 3 or 4 groups depending on if the lines intersect. How can you draw the lines so that the numbers in each group add up to the same sum.
Three Advisors (6/5/2001)
A king has three advisors. He wants to find out which of them is the smartest so he devises a test. He tells them that he has 3 white hats and 2 black hats. After seating the three facing each other, he tells them that he would randomly pick 3 hats, which would be placed on their heads so that they could each see only the other two hats, but not their own. Unknown to the advisors, the king tosses away the two black hats and only uses the three white hats. After staring at each other for a while, one of the advisors figures it out and shouts, "I know! My hat is white!" How did the advisor know?
Missing Dollar (6/5/2001)
3 men go into a motel. The man behind the desk said the room is US$30, so each man paid US$10 and went to their room.
A while later the man behind the desk realized the room was only US$25, so he sent the bellboy to the 3 guys' room with US$5. On the way, the bellboy couldn't figure out how to split US$5 evenly between 3 men, so he decides to give each man US$1 and kept the other US$2 for himself.
This meant that the 3 men each paid US$9 for the room, which is a total of US$27. Add the US$2 that the bellboy kept brings the total to US$29.
Where is the other dollar!?
Crossing the Bridge (03/21/2001)
Four people are on one side of a bridge that they need to cross. It is dark, there are holes in the bridge surface, and they only have one flashlight which must travel with them as they cross. To add to their troubles, the bridge will only support two people at a time.
- Now person #1 can walk cross in 1 minute.
- Person #2 has a limp and can cross in 2 minutes.
- Person #3 has a sprained ankle can cross in 5 minutes.
- Person #4 has a cast on his leg and takes 10 minutes to cross.
No matter how fast a person can cross, he must wait for his companion. If #1 goes with #2, it takes 2 minutes for them to cross. If number #2 goes with #4, it takes them 10 minutes. The flashlight cannot be thrown, instead it must be carried and delivered from person to person. The 4 people are trying to make it across in the fastest possible time to make an important appointment in the next town.
Jugs of Water
- You've got a 5 liter container and a 3 liter container.
- You've got a pool of water.
- What is the fewest number of steps it takes to come up with exactly 4 liters of water?
No, you cannot pour some water into the 5 liter container and then guess. Nor can you fill each jug up half way or something. You have to be exact. A step is defined as pouring water into or out of a jug. For instance, filling the 3 liter jug and then pouring it into the 5 liter jug, and then pouring the 5 liter jub into the pool is 3 steps.
Buried in Sand
A sadistic torturer has buried 3 men up to their necks in sand facing a wall. They cannot turn their heads. #1 is closest to the wall, then #2, and then #3. #1 sees only the wall, #2 can see #1 in front of him, and #3 sees #1 and #2. A hat, either white or black, is put on each man from behind so they cannot see what color of hat they are wearing. It is securely attached so it won't fall off under any circumstances.
Their captor then explains:
- There are 4 hats, 2 white, and 2 black.
- One of you must speak out to say which hat you are wearing.
- You may not speak other than to say 'black' or 'white'.
- If you speak incorrectly, I will shoot you all immediately.
- If you are correct, you will all go free.
- If you have not answered within 10 minutes, I will shoot you all.
How can these men get their freedom?
Einstein's Riddle
Einstein supposedly wrote this riddle and said 98% of the world could not solve it.
There are 5 houses painted in different colors in a row on a street. In each house lives a person with a different nationality. The 5 owners each 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, nor drink the same beverage.
Hints:
- The Brit lives in the 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's owner drinks coffee.
- The person who smokes Pall Mall rears birds.
- The owner of the yellow house smokes Dunhill.
- The person living in the center house drinks milk.
- The Norwegian lives in the leftmost house.
- The person who smokes Blends lives next to the one who keeps cats.
- The person who keeps the horse lives next to the person who smokes Dunhill.
- The owner who smokes Bluemasters drinks beer.
- The German smokes Prince.
- The Norwegian lives next to the blue house.
- The person who smokes Blends has a neighbor who drinks water.
Three Switches
There are three switches in a room on the first floor and a lamp on the third floor. Each one is labeled On and Off. One (and only one) of the switches controls the lamp. There is no possible way for you to see whether the light is on or off from the first floor. You are alone in the house.
- You are allowed to turn on and off the switches as often and as long as you'd like.
- However, you can only go upstairs once to check on the status of the lamp.
- Determine which switch controls the lamp.
Ten Stacks of Coins
- You have ten stacks of ten coins.
- 9 of the 10 stacks contain coins that weigh 1.0 grams each.
- The 10th stack contains 1.1 grams.
- You also have a scale which returns the number of grams of the weighed items.
- Using the scale once, locate the stack with the 1.1 gram coins.
Student Ages
You overhear a conversation between a professor and his teaching assistant. They are talking about a course they are running with just three students.
- Professor: The product of the ages of the students in our class is 2450 and the sum of their ages is twice your age. Can you tell me how old they are?
- Assistant: (After thinking for a little while) No.
- Professor: I'll let you in on a secret. I am older than all of them, and now you can answer the question.
- Assistant: (Even though he does not know how old the professor is, he thinks for a bit, smiles, and says) Yes I can.
The question is worded correctly and the professor's "secret" mentioned above is important.
Twelve Balls
So this is a fun one. I think someone sent it to me a while back and I couldn't solve it after spending a lot of time on it. Well I got it again and solved it after an hour or so. I'm sure you can do it faster.
- There are 12 balls.
- 11 of the balls weigh the same.
- 1 of the balls is either heavier or lighter than the rest.
- You have an unmarked balance scale.
- Using the scale only 3 times, determine which ball is different and whether it is heavier or lighter than the rest.
There are (at least) two ways to solve this problem. The first way I solved it is to weigh the balls once, and then make a determination on which balls to weigh next. After I spent some more time on it, the other way to solve it is to configure all of the weighings at the start and look at the results to determine which ball is different and whether heavier or lighter.
Eight Balls
- There are 8 balls.
- 7 balls are the same, the 8th is slightly heavier than the rest.
- You also have a balance-scale (the one with a platform on either side) but it has no markings on it.
- Using the scale twice, locate the ball that is heavier.
Three Hats
- Your are presented you with 3 identically looking hats.
- In the 1st hat there are 2 white balls, in the 2nd hat there is 1 white ball and 1 black ball, and in the 3rd hat there is 2 black balls.
- The hats are mixed up.
- Without peeking you reach into one of the hats and pull out a ball.
The Famous Let's Make a Deal Question
- You are on the "Let's Make a Deal Show".
- Monty Hall shows you 3 curtains and tells you that there is a brand-new car behind 1 of the curtains.
- He asks you to choose a curtain.
- After much deliberation you choose 1 of them.
- Monty then opens one of the 2 curtains you did not choose and shows you that it is empty. He always opens an empty one because he knows where the car is.
- He then turns to you and asks if you would like to switch from the curtain you chose to the other closed curtain.
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