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Riddle:
Peter likes tomatoes, but not potatoes; he likes cucumbers, but can't stand carrots; Peter also enjoys grapes, but not lettuce. And he likes squash, but not onions. Would Peter like pumpkins or apples more?
Answer: Peter would like pumpkins more, because he only likes fruits and vegetables that grow on vines. Pumpkins grow on vines, while apples do not.
Riddle:
There are five doors in front of you in the following order: black, blue, black, black, blue. Only one door will lead you to freedom, and you only have one chance to pick it. Assuming that all three hints are true, can you pick the correct door? 1) The correct door is black. 2) The correct door is not next to the leftmost or the rightmost door. 3) The correct door is not in the middle.
Answer: The leftmost door is the correct door. There are only three black doors, so it's one of them (we can eliminate doors two and five because they are blue and not black). The fourth door should be eliminated next because it's next to the rightmost door, which contradicts the second hint (we can't eliminate the first door because it's not correct to say that the leftmost door is next to itself). And the middle door is a trap, too. Therefore, the first door is the best choice.
Riddle:
The Queen lives in a beautiful castle with her only son and a sheep-dog named Sir FooFoo. One day the Queen decides to go out for a spot of tea with some friends. She leaves her eight-year-old son in the care of her trusted servants. The 18 servants are: Harold the health instructor, Griffith the gardener, Tiffany the private tutor, Philip the photographer, Magdalina the maid, Boris the Butler, Geraldo the groundskeeper, Bernadette the barber, Sandy the sweeper, Anastasia the accountant, Constantine the carpenter, Joel the jester, Lucy the launderer, Sadie the seamstress, McKenzie the musical instructor, Lawrence the lawyer, Dorothy the dentist, Devon the doctor, and Surlamina the Secretary of State. When the Queen came home she discovered her son was missing and that he was kidnapped. The Queen came to a conclusion that it must've been one of her servants who kidnapped her son because he was too young to leave on his own and Sir FooFoo was harmless. The Queen interviewed all of her servants to see which one was responsible for the kidnapping. The alibis are as follows: Harold was lifting weights, Griffith was planting roses, Tiffany was checking homework, Philip was taking pictures of the botanical garden, Magdalina was making the beds, Boris was cleaning the banisters, Geraldo was supervising Griffith , Bernadette was trimming Sir FooFoo's hair, Sandy was sweeping in the corners, Anastasia was managing the Queen's affairs, Constantine was building a birdhouse, Joel was coming up with the jokes, Lucy was doing the laundry, Sadie was designing a dress for the Queen, McKenzie was playing the flute, Lawrence was suing the bank, Dorothy was preparing to extract the Queen's tooth when the Queen came home, Devon was examining an x-ray of the Queen's arm, and Surlamina was being a Secretary of State . Who is the kidnapper?
Answer: Surlamina is responsible for the kidnapping because there is no Secretary of State in a monarchy. It is believed that Surlamina kidnapped the Queen's son because she was not given a real job.
Riddle:
You can give me, but you cannot take me. It takes one to give me, but two to make me. The biggest circle I begin. And it is I that lies within. To all living things, I give breath. But I am not "god" nor "life" nor "death". And like the Phoenix from an urn, through me from ashes, it returns. What Am I?
Riddle:
You have 52 playing cards, 26 red, and 26 black. You draw cards one by one. A red card pays you a dollar. A black one fines you a dollar. You can stop any time you want. Cards are not returned to the deck after being drawn. What is the optimal stopping rule in terms of maximizing your expected payoff? Also, what is the expected payoff following this optimal rule?
Answer: The solution to this problem is, in my opinion the most difficult to understand of all the puzzles. Indeed I was unable to solve it and didn't receive a complete solution until two years after originally posting it. The final solution, in the form of the spreadsheet was sent to me by Han Zheng. For this reason I have left on the page the thoughts i had before I had the final solution as they represent an easier to understand and more simplistic approach. Also the reasoning may help you arrive at the final solution by yourself or help you understand it. I would recommend reading that answer before you dive into the full answer. But an important thing to note are that as the player we can't lose this game as we can gamble till all the cards are drawn and our net position is zero. From our earlier analysis it is clear we need a dynamic quit rule. A singal value is not sufficent. We must, at each stage consider what cards are remaining, and therefor the probability of a positive or negative outcome from drawing again. For the explanation i will ask you first to consider a deck containing only 6 cards, 3 +ve & 3 -ve (note i'm no longer calling the cards black and red, it confuses me.)
Riddle:
Spelled forwards is a type of rodent that you might find in drains, spelled backward is something that you cannot touch but see it everyday at night. What is this word?
Riddle:
Terry had been driving for nearly an hour when he encountered a backup of several cars which were all waiting to pass through a tunnel. He was listening to the weather report on his car's radio while awaiting his turn when he heard that a severe mixture of snow and rain accompanied by flash flooding and powerful winds were expected to strike the area within minutes. Terry dreaded this type of dangerous winter driving, so he wanted to get home quickly. As he paid the required fee to pass through the tunnel, Terry could only think about the weather report and the severe driving conditions predicted. Suddenly, a downpour of water, followed by a curtain of liquid white covered Terry's car. He did not use his windshield wipers though, and in fact, he removed both hands from the steering wheel just as another downpour of water blasted his car. A few seconds later, a second deluge of water crashed down on his car, followed by a mighty wind. At that point, Terry again grasped the steering wheel and regained control of the car. After these events, Terry was able to drive home safely. Did Terry panic during this encounter by not using his windshield wipers and removing his hands from the steering wheel, or is Terry a better driver than these events indicate?
Answer: The tunnel Terry went through was a car wash. A driver is always supposed to take his hands off the steering wheel and avoid using windshield wipers when the car is passing through the soap, water, and powerful drying wind at the end.
Riddle:
In this place, people lie, people cry, and people ask why. In this place, people sleep, people weep, and people's solitude, they keep. What is it?
Answer: "Graveyard" or "Cemetery" - Reasoning: Both "people lie" and "people sleep" are indications of many people using this place to lie down, or to sleep, which in itself is an odd thought. Crying and weeping indicate that this is a sad place, and the continued use of "people" allows this to mean not just those who are lying down or sleeping, but those who come to visit them there, (i.e. mourners). People come to ask the person grave why they did what they did that resulted in their death, as a form of mourning, or to ask their chosen God or Gods why they took that person to their grave. And peoples solitude refers to people sleeping on their own, or the mourners usually coming the mourn privately.
Riddle:
There once was a man named Jake, he liked to work with glass, but when it came to the end of the day he had to sit and watch, as the sun went down, everything was getting colder, he worried about his Glass sculpture, which was not finished, nowhere near! It was even still hot. Why did he worry about the glass sculpture?
Answer: It was still hot, meaning it can fall over easily, or cool down, meaning that it would be hard to continue.
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