Riddle: What is the answer to the super difficult 15 brain teaser?

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After five pirates robbed 100 gold coins, they discussed how to distribute them fairly. They agreed on the distribution principle is:

(1) Draw lots to determine each person's distribution sequence number (1, 2, 3, 4, 5);

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(2) Pirates who draw lots. 1 Propose a distribution plan, and then five people will vote. If the plan is agreed by more than half of the people, it will be distributed according to his plan, otherwise 1 will be thrown into the sea to feed sharks;

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(3) If 1 is thrown into the sea, No.2 puts forward the allocation plan, and then four people are left to vote. If and only if more than half of the people agree, they will be allocated according to his proposal, otherwise they will be thrown into the sea;

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4 and so on.

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Assuming that every pirate is extremely intelligent and rational, they can make strict logical reasoning and rationally judge their own gains and losses, that is, they can save their lives.

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Get the most gold coins. At the same time, assuming that the results of each round of voting can be implemented smoothly, what distribution scheme should the pirates who have drawn 1 put forward to avoid being thrown into the sea and get more gold coins?

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Second place (guessing cards)

Mr. S, Mr. P and Mr. Q all know that there are16 * * cards in the desk drawer: A of hearts, Q, 4 of spades, J of 8, 4, 2, 7, 3, K of diamonds, Q, 5, 4, 6, A, 5.

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Professor John chooses a card from 16 card, tells Mr. P the number of points in this card, and tells Mr. Q the color of this card. At this time, Professor John asked Mr. P and Mr. Q: Can you infer what this card is from the known points or colors?

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So, Mr. S heard the following conversation:

Mr. P: I don't know this card.

Mr q: I know you don't know this card.

Sir: Now I know this card.

Mr. Q: I know that, too.

After listening to the above conversation, Mr. S thought about it and correctly deduced what this card was.

Excuse me: What kind of card is this?

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Third (burning rope)

It takes 1 hour to burn an uneven rope from beginning to end. Now several ropes are made of the same material. How to time an hour and fifteen minutes by burning rope?

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Fourth place (table tennis)

Suppose there are 100 ping-pong balls arranged together, and two people take turns to put the balls in their pockets. The winner is the person who can get the100th table tennis. The condition is: the person who holds the ball must take at least 1 at a time and not more than 5 at most. Q: If you are the first person to take the ball, how many should you take? How can I take it in the future to ensure that you can get the100th table tennis?

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Fifth place (drinking soda)

1 yuan a bottle of soda, drink two empty bottles for a bottle of soda, Q: You have 20 yuan money, how many bottles of soda can you drink at most?

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No.6 (Split Gold Bars)

You let the workers work for you for 7 days, and the workers' reward is a gold bar. Gold bars are divided into seven consecutive sections. At the end of each day, you must give them some gold bars. If you are only allowed to break the gold bars twice, how can you pay the workers?

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Seventh place (roasted rabbit in Guigu)

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Sun Bin and Pang Juan are both disciples of Guiguzi; One day, the ghost came up with a problem: he chose two different integers from 2 to 99, told Sun the product and told Pang the sum.

Pang said: I'm not sure what these two numbers are, but I'm sure you don't know what these two numbers are either.

Sun said: I really didn't know at first, but after listening to your words, I can confirm these two figures now.

Pang said, since you put it that way, I know what these two numbers are.

What are these two numbers? Why?

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Eighth place (difficult problem of scooping wine)

It is said that someone gave the proprietress of a restaurant a difficult problem: this person knew that there were only two spoons in the shop, which could scoop 7 ounces of wine and 1 1 ounce of wine respectively, but forced the proprietress to sell him 2 ounces of wine. Smart proprietress is also unambiguous. She used these two spoons to hold the wine, turned it upside down and actually measured out 2 ounces of wine. Can you be smart?

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No.9 (five prisoners)

A puzzle that really stumbles hundreds of millions of people is an interview question of Microsoft.

Five prisoners, according to 1-5, caught mung beans in sacks containing 100 mung beans. It is stipulated that everyone should catch at least one, and those who catch at most and at least should be put to death. And they can't communicate with each other, but when they catch, they can find out the remaining number of beans. Ask them who has the best chance of survival.

Tip:

1, are very smart people.

Their principle is to save people first, and then kill more people.

3, 100 don't have to finish it all.

4. If there is any duplication, it will be regarded as the largest or smallest and executed together.

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No. 10 (Einstein's question)

Einstein asked a question. At that time, he said that 90% people in the world couldn't answer it. See if you belong to 10%.

Content:

1. There are five houses in five colors.

The owner of each house has different nationalities.

Each of these five people only drinks one brand, smokes one brand and keeps a pet.

No one keeps the same pet, smokes the same brand of cigarettes and drinks the same brand.

Known conditions:

1. The British live in a red house.

The Swede has a dog.

3. Danes drink tea

The green house is on the left of the white house.

5. The owner of the greenhouse drinks coffee

6. PALL MALL smokers have a bird.

7. The owner of the yellow house smokes Dunhill cigarettes.

8. People who live in the middle house drink milk.

9. Norwegians live in the first house.

10. People who smoke mixed cigarettes live with people who own cats.

1 1. Horse owners live next door to smokers on Dunhill Road.

12. People who smoke blue masters drink beer.

13. Germans smoke prince cigarettes

14. Norwegians live next to the blue house.

15. The neighbors of people who smoke mixed cigarettes all drink mineral water.

Question: Who raises fish?

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No. 1 1 (socks for the blind)

? There are two blind people. They all bought two pairs of black socks and two pairs of white socks. The fabric and size of eight pairs of socks are the same, and each pair of socks is connected with trademark paper. Two blind people accidentally mixed up eight pairs of socks. How can each of them get back two pairs of black socks and two pairs of white socks?

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No. 12 (king and prophet)

Before going to the execution ground, the king said to the prophet, "Aren't you good at predicting?" Why can't you predict that you will be executed today? I'll give you a chance, and you can predict how I will execute you today. If your prediction is right, I will let you take poison to death; Otherwise, I will hang you. "

But the wise prophet's answer made it impossible for the king to execute him anyway.

How did he predict it?

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No. 13 (ball weighing)

There are 12 balls and a balance. Now we know that only one of them is different in weight from the others. How can we find the ball after weighing it three times? Note that this question does not explain whether the weight of the ball is light or heavy, which needs careful consideration.

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No. 14 (three bulbs)

The three switches outside the door correspond to the three bulbs in the room respectively, and the wiring is good. When you control the switch outside the door, you can't see the light in the room. Now you are only allowed to enter the door once. Make sure that the switch corresponds to the light. This is also a Microsoft interview question. Personally, I think this is a brain teaser type.

No. 15 (black hat ball)

A group of people are dancing, each wearing a hat. There are only two kinds of hats, black and white, and there is at least one kind of black. Everyone can see the color of other people's hats, but not their own. The host first shows you what hats others are wearing, and then turns off the lights. If someone thinks he is wearing a black hat, he will slap himself in the face. The first time I turned off the lights, there was no sound. So I turned on the light again and everyone watched it again. When I turned off the light, it was still silent. I didn't get a slap in the face until I turned off the light for the third time. How many people are wearing black hats? ?