Do a little work every day

The 15th package can be used to kill the time ~ Only press: For your health, please do not indulge in it. Just make two or three meanings in a day...

[1] Suppose there is a pond with an infinite amount of water in it. There are two empty kettles with 5-litre and 6-litre capacities respectively. The question is how to get 3 litre water from the pond with only the two kettles.

[2] Zhou Wen's mother is a cement factory worker. One day, Zhou Wen came to the laboratory to do his work. After that, I want to go out and play. "Wait, mom will take a question for you ." She went on to say, "You see these six are only glass cups used for testing. The first three are filled with water, and the last three are empty. Can you just move one glass and separate the cup filled with water from the empty one ?" Zhou Wen, who loves her brains, is a famous "clever" in the school. She only thought about it for a while. Please think about how "smart" is done?

[3] three young men fell in love with a girl at the same time. They decided to fight with a gun to decide who would marry the girl. Xiao Li's hit rate is 30%, Xiao Huang is better than him, the hit rate is 50%, and the best gunner is Xiao Lin. He never makes a mistake and the hit rate is 100%. Because of this obvious fact, for the sake of fairness, they decided to follow the order: Xiao Li shot the gun first, Xiao Huang second, and Xiao Lin finally. Then it repeats until they have only one person left. Who has the greatest chance to survive these three individuals? What policies should they adopt?

[4] Two prisoners are in the same room. Every day, the prison will provide a pot of soup for the room so that the two prisoners can score points by themselves. At first, these two people often have disputes because they always think that the other party has more soup than their own. Later, they found a perfect solution: let another person select first. So the dispute is settled. However, now there is another new prisoner in this cell, and now there are three people here. You must find a new way to maintain peace between them. What should I do?

Press: psychological problems, not logical problems

[5] place n round coins of the same size on the desktop of a rectangle. Some of these coins may be incomplete on the desktop, or some may overlap with each other. When another coin is placed and its center is inside the desktop, the new coin must overlap with some of the original coins. Prove that the entire desktop can be completely covered with 4 n coins.

[6] How do you measure the radius of a ball with a length of about 2/3 in diameter? There are many ways to see who is clever.

[7] five Yuan coins of the same size. What should we do if we need to contact each other?

[8] card guessing Problems

Mr. S, Mr. P, Mr. Q, they know that there are 16 cards in the drawer of the Table: fig a, Q, 4, J, 8, 4, 2, 7, 3, k, Q, 5, 4, 6, block A, 5. John taught to pick a card from the 16 cards and tell Mr. P the number of points of the card and the color of the card to Mr. Q. Professor John asked Mr. P and Mr. Q: Can you tell from the known points or colors what the card is? 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.

Mr. P: Now I know this card.

Mr. Q: I know.

After hearing the above conversation, Mr. s thought about it and correctly launched the card.

Excuse me: What is this card?

[9] A professor of logic has three students, and all three of them are very smart!

One day, the professor gave them a question. The professor pasted a piece of paper on each person's head and told them that each person's paper had a positive integer, and the sum of two numbers is equal to the third one! (Each person can see the other two numbers, but cannot see their own)

The professor asked the first student: Can you guess your number? Answer: No. Ask the second question. No. The third question. No. ask the first question. No. The second question. No. The third question. I guess it is 144! The professor smiled with satisfaction. Can you guess the number of the other two people?

[10] A car crashed and escaped from a city.

The city only has two colors of cars, blue 15%, green 85%.

A person saw the incident at the scene.

He testified that it was a blue car.

However, according to the expert's on-site analysis, the possibility of that condition being correct was 80%.

So what is the probability of a car being a blue car?

[11] A person who has 240 kilograms of Water wants to transport to a dry area to make money. He can carry up to 60 kilograms each time, and each forward one kilometer must consume 1 kg of water (even water consumption ). Assume that the price of water is 0 at the place of departure, and later is proportional to the transportation distance (that is, 10 yuan/kg at 10 kilometers, 20 RMB/kg at a distance of 20 kilometers ......), assuming that he must return safely, how much can he earn at most?

[12] There are now 100 horses and 100 stones. There are 3 types of horses, large horses, medium horses and small horses. A horse can carry three stones at a time, and a medium-sized horse can carry two, while a small horse can carry two stones at a time. How many horses, medium-sized horses and small horses are required? (The key to the problem is that you must use up 100 horses)

[13] 1 = 5 2 = 15 3 = 215 4 = 2145 so 5 =?

[14] There are 2n people queuing into the cinema, the fare is 50 cents. Among the 2n, N are only 50 cents, and n are $1 (paper ). When a stupid cinema starts selling tickets, there is no 1 cent.

Q: How many queuing methods do you have to make a 50-cent change to a movie theater whenever a person with $1 buys a ticket?

Note: 1 USD = 100 cents

People with $1 worth of paper money cannot break into 2 50 cents

[15] A person bought a chicken for 8 yuan and sold it for 9 yuan. Then he thought it was not worthwhile. He bought it again for 10 yuan and sold it to another person for 11 yuan. Ask him how much he earned?

[16] There is a sports competition that includes m items and athletes A, B, and C participate. In each project, the first, second, and third names are respectively named x, y, z, where x, y, and z are positive integers and x> Y> Z. Finally, a scored 22 points, B scored 9 points and C scored the first place in the match. Evaluate m and ask who needs the second place in the high jump.

[17] prerequisites:

1. Five houses in five colors

2. The owners of each house have different nationalities.

3. Each of these five people drink only one kind of drink, smoke only one brand of cigarettes, and keep only one kind of pet

4. No one has the same pet, smoke cigarettes of the same brand, and drink the same drink

Tip:

1. British people live in a red house

2. Swedes have a dog.

3. Danish drinking tea

4. The green house is on the left of the White House.

5. Green house owners drink coffee

6. A person who smokes Pall Mall raises a bird.

7. Dunhill smoke from the yellow house owner

8. People living in the middle House drink milk

9. Norwegian residents live in the first house

10. The person who smoked the mixed smoke lives next to the person who raised the cat.

11. Horse farmers live next to Dunhill smoke

12. People smoke blue master cigarettes drink beer

13. Germans smoke Prince cigarettes

14. Norwegian people live next to the Blue House

15. The neighbor of the smoke consumer drinks mineral water.

The question is: who raises fish?

[18] Five people come from different places, live in different houses, raise different animals, smoke different brands of cigarettes, drink different drinks, and like different foods. Identify who is the cat-raising person based on the following clues.

1. The Red House is on the right of the Blue House and on the left of the White House (not necessarily close to each other)

2. The owner of the yellow house is from Hong Kong and his house is not on the far left.

3. People who love pizza live next to those who love mineral water.

4. People from Beijing Love Moutai and live next to people from Shanghai.

5. The person who smoked Hilton cigarettes lives next to the horse-raising person.

6. Beer lovers also love chicken.

7. The green house dog.

8. People who love noodles live next to snakes.

9. A neighbor from Tianjin (nearby) loves beef and a neighbor from Chengdu.

10. fish farmers live in the rightmost house.

11. The person who smoked the Green Road cigarette lives in the middle of the person who smoked the Hilton cigarette and the person who smoked the "555" cigarette (close)

12. Red houses love tea.

13. wine lovers live next to those who love tofu.

14. People who smoke cigarettes in hongtashan do not live in the vicinity of the people who smoke cigarettes or from Shanghai.

15. People from Shanghai live in the second house on the left.

16. Those who love mineral water live in the middle of the house.

17. People who love noodles also love wine.

18. People who smoke "555" cigarettes are more right-aligned than those who smoke Hilton cigarettes.

[19] attach the landlord to the mess

Landlords 2, K, Q, J, 10, 9, 8, 8, 6, 6, 5, 5, 3, 3, 3, 7, 7, 7

Long Gong Jia hands card king, Xiao Wang, 2, A, K, Q, J, 10, Q, J, 10, 9, 8, 5, 5, 4, 4

Tickets 2, 2, a, K, K, Q, J, 10, 9, 9, 8, 6, 6, 4, and 4

The three companies are all bright hands and have mutual knowledge. The requirement is that the landlord must either lose or win the game without making a wrong card.

Q: which party will win?

[20] A diamond is placed at the door of each elevator on the first floor to the tenth floor, with different diamond sizes. When you take the elevator from the first floor to the tenth floor, the elevator door on each floor will open once. You can only get a diamond once. How can you get the largest one?

[21] the U2 choir will arrive at the concert venue within 17 minutes. On the way, it will be necessary to cross a bridge. Four people will depart from the same end of the bridge. You have to help them reach the other end, the sky is dark, and they only have one flashlight. At the same time, a maximum of two people can bridge the bridge together, while a flashlight must be held when crossing the bridge, so someone has to bring the flashlight back and forth to both ends of the bridge. A flashlight cannot be lost. The walking speed varies between the four people. If the two people walk with each other, the speed of the slow person prevails. Bono takes 1 minute to bridge the bridge, edge takes 2 minutes to bridge the bridge, Adam takes 5 minutes to bridge the bridge, and Larry takes 10 minutes to bridge the bridge. How do they bridge the bridge within 17 minutes?

[22] a family has two children, one of which is a girl and the other is also a probability of a girl?

(Assuming that the probability of giving birth to a female is the same)

[23] Why is the lid of the sewer circular?

[24] How can I divide 140 grams of salt into 50 and 90 grams of salt by using 7 grams and 2 grams of weight each?

[25] chip test: There are 2 k chips. It is known that there are more good chips than bad ones. Please DesignAlgorithmFind a piece

A good chip indicates the maximum number of times you have used it.

Among them: when comparing a good chip with other chips, we can correctly tell whether the other chip is good or bad.

When the chip is compared with other chips, it will randomly give good or bad information.

[26] There are twelve eggs, one of which is bad (the weight is different from that of the remaining eggs). I want to name them three times by day and determine which one is bad!

[27] 100 people answered five questions, 81 answered the first question, 91 answered the second question, 85 answered the third question, and 79 answered the fourth question, if 74 people answered the fifth question correctly, and those who answered the three or more questions passed the examination, then at least () of the 100 people passed the examination.

[28] Eason Chan has a song named ten years

Lu Shan has a song called 3650 nights

Now, how many days can there be in ten years?

[29]

1

1 1

2 1

1 2 1 1

1 1 1 2 2 1

What is the next line?

[30] it takes an hour to burn an uneven rope. How can I use it to determine a half hour?

It takes an hour to burn an uneven rope from the beginning to the end. Now there are several ropes of the same material. How can I use the burning method to time the rope for an hour and 15 minutes?