There are ten baskets of apples, and there are ten in each basket.

There are 100 apples in each basket, the weight of each apple in nine baskets is 1 kg, and the weight of each apple in the other basket is 0.9 kg, but the appearance is exactly the same, which can't be distinguished by eyes or hands. Now I want you to find the light basket at once with an ordinary big scale.

2. Weight

When weighing an object with a balance, there is always a weight. The set weight that most people can think of is one gram, two grams, four grams, eight grams and so on. However, this method requires too much weight and can actually be used less. Please redesign a scheme, so that all integer grams of an object from one gram to forty grams can be weighed with only four weights.

Recruit boy scouts

A department wants to recruit scouts and decides to take the exam first. The method of the exam is: all the people who take the exam are locked in a room with good conditions, and water and meals are delivered on time every day, and there are special guards at the door. Who walks out of the room first,

Pass the exam. Some people say they have a headache and want to go to the hospital. The janitor called in a doctor. Some said that mother was seriously ill and had to go back to take care of her. The doorman called her when she was at work. Others gave many reasons, but the janitor just wouldn't let him out. Finally, a man said a word to the doorman, and the doorman let him out. What did this man say?

☆☆ 4. Weighing parts

There are 13 parts, the appearance is exactly the same, but one part is unqualified, the weight is different from others, and the weight is unknown. Please weigh it three times with the balance and find out (this question is difficult, as long as it can be worked out, it shows extraordinary intelligence. Time is not limited).

clear away the rubbish

There is a pile of garbage, which is stipulated to be cleaned by three families. Zhang Hu can't attend because he is out, leaving 9 yuan money to do it for him. Wang Hu worked for five hours early in the morning, while Li Hu worked for four hours in the afternoon. Ask Wang Hu and Li Hu.

How should the 9 yuan be distributed?

6. Who's left in the end

1~50

No.2 athletes line up in order. The coach ordered, "Odd athletes get out!" The rest of the athletes lined up again and numbered. The coach ordered again: "Odd athletes get out!" At this rate, there is only one person left in the end. What's his date? If the coach's order is "even the athletes get out!" Who's the last one left?

Step 7 survive

In ancient times, a farmer was framed, and the farmer argued. Because the county magistrate accepted bribes from others and refused to let him go, he had a bad idea because he could not find a reason. He sent for ten pieces of paper and said to the farmer, "Here are ten pieces of paper, nine of which are written' Death'.

Touch one that says' life'. If it's fate, I'll let you go back immediately. If it is' death', it is your bad life, and no one can blame it. "Smart farmers have long guessed that no matter which one is caught, all the notes are' dead'. So he thought of a clever way, narrow escape. Do you know what he thinks?

8. Death row inmates

Once the condemned man is executed. The executioner said to the condemned man, "Do you know how I am going to execute you? You guessed right, I can make you die quickly and give you a bullet. I'm sorry if you guessed wrong. Please taste the gallows. " The executioner thought, "Anyway, I have the final say, saying that you are right and wrong is wrong." Unexpectedly, because of the clever answer of the condemned man, the executioner could not execute the death penalty, and the condemned man was able to escape. What did the condemned man say?

9. seaside case

This is a case that happened at the seaside.

One morning, before Zhang's wife got up, she suddenly heard a quick knock at the door. Someone outside the door shouted, "Sister-in-law, is Big Brother at home?" Hearing the shouts, Zhang opened the door and saw that it was Li, who wanted to go out to do business with her husband. He quickly replied, "He didn't come back last night." Then he quickly reported the case to the nearby police station. After investigation, Zhang has been assassinated. The staff of the police station inquired about the incident in detail and immediately arrested Li. At first, Li strongly denied it, and finally he had to bow his head and plead guilty. On what basis did the police station staff determine that Li had done this case?

10. Go upstairs

The office building where I work and the family building where I live are all six floors, while the floors where I work and live are all three. So I thought: How many steps do I climb every day than my colleagues who live and work on the sixth floor?

1 1. Kindergarten

Every morning, I see many young parents go to the kindergarten to see their children off. But some people don't hold children, not kindergarten staff, but also go to kindergarten. What do they do?

12. Find the same point

Being good at discovering the similarities and differences and internal relations of things and discovering the development law of things are the basic qualities and conditions for doing any research work well. Please look for it. How much do the following two figures have in common?

2468 3579

13. Buy cigarettes

Harbin in the 1960s. One day, an unexpected guest came to a small shop. He said to the clerk, I'm from the south and I'm going to Harbin on business. I want to take Harbin's specialty "Harbin, Yingchun, Grape" cigarettes back for everyone to taste. I only have 3 yuan now, and I will buy all the cigarettes. The prices at that time were 0.29 yuan, 0.27 yuan and 0.23 yuan respectively. After calculation, the salesman met his requirements. How many boxes of each kind of cigarettes did the southerner buy?

14. Divide property

Once upon a time, there was a very rich family. Just as the whole family was happy for the arrival of the newborn, the husband suddenly got an incurable disease. Leave a will before dying. "If you give birth to a boy, your wife and son will share half of their property. If it is a girl, the girl gets one-third of the property and the rest goes to the wife. " Shortly after her husband died, her wife was going to give birth. Unexpectedly, my wife gave birth to a boy and a girl twins! Now the wife is in a dilemma: how to divide this property?

15. Counterfeit money

One evening, a customer came to a sports shoes store and took out 10 yuan to buy a pair of cloth shoes. This pair of shoes started in 7 yuan and needs to be given to the customer 3 yuan. As there was no change, the owner of the shoe store took this 10 yuan to the store next door to break it into change, gave it to the customer 3 yuan, and the customer left with the money and shoes. The next day, the shop next door came and said that yesterday's money was fake, so the boss had to take out 10 yuan and said with a sigh: Today's loss is too great. Please help him figure out how much money he lost.

16. Move matches

10 matched and arranged in rows. Now, please put them together every two. It is required that each time a match is moved, two matches must be crossed. For example, you can put sixth in ninth or third place.

17. Railway station

There are two small closed railway stations. The number of trains from Station A to bilibili is always more than that from bilibili. After a long time, will all the trains be concentrated in bilibili?

18. Error found

There are two obvious mistakes in the problem you see, but you may not see it at the moment. You need to look carefully. Don't sleep until you find it.

19. Divide socks

Two blind people go to the store to buy socks together. Everyone bought a pair of black ones and a pair of blue ones, which were all put together at that time. Although invisible, each of them got a pair of black and blue socks when they broke up. It is known that two people have the same foot size and socks. Think about it, how do they divide it?

☆☆ 20. Strange city

There is a strange city. There are good people and bad people living in cities. There is a man standing guard on the left and right of the city gate. One of them is a good man, and the other is a liar. Good people always tell the truth, and liars always tell lies. When a person arrives at this door, he forgets which side is a good person. If he asks the wrong person, he will go to the place where the liar lives and be cheated. What can I do?

?

2 1. Will (male name)

In ancient times, an old man was dying. Before he died, he called his two sons to the bed and said, "You ride to the Western Hills and come back. Whoever runs slowly will have property. " The two sons rode out and walked slowly. A passer-by was surprised. After asking the reason, he said something to the two men. They rushed to avoid falling behind. What do passers-by say?

22. eggs

An old lady went to the market with a basket of eggs. I was knocked down by a cyclist on the road, and all my eggs were broken. The cyclist picked up the old lady and said, "How many eggs did you bring? I will pay you. " The old lady said, "I don't know the total. When we picked eggs from the henhouse, we picked five and finally picked one. " Yesterday, my old man checked it again. He counted four and finally there was one. I counted it again this morning, and it was three and one. "The cyclist calculated in his mind and lost the egg money at the market price. How many eggs did the old lady bring?

23. Question singing

What dish is undercooked? What dishes can't be washed clean?

Which eggs can't be eaten? What cakes can't be eaten?

What river has no water? What horse can't be ridden?

What cattle don't plow? What fire is not hot?

What ball can't be kicked? What beads are not to be touched?

What mouth doesn't talk? What medicine is nowhere to buy?

What knife can't cut vegetables? What pot won't boil?

Everyone must do what he doesn't want to do. What clothes have to be worn if you don't like them?

24. Busy pigeons

My brother went for an outing in the country this morning. Just left

1 hour, my brother learned from TV that it was raining at noon, and immediately rode a bike to send an umbrella to his brother. When going out, a little pigeon raised by two brothers flew out at the same time. It flew over my brother's head and immediately turned around and flew to my brother. When it reached his brother's head, it turned around and flew to his brother until his brother caught up with him. It is known that the speed of my brother's walking is 4 kilometers per hour, the speed of my brother's cycling is 20 kilometers per hour, and the speed of pigeons is 100 kilometers per hour. How many kilometers did the pigeon fly when his brother chased his brother, excluding the time when he turned around?

25. Where is the money?

Two fathers gave their son some money. One father gave his son 150 yuan, and the other father gave his son 100 yuan. But the two sons said they only got 150 yuan. /kloc-where is the 0/00 yuan?

26. Divide cattle

Once upon a time, there was a farmer who raised many cows all his life. Leave a will before death: half of the total number of cows will be given to the son, the remaining half to the wife, the remaining half to the daughter and the remaining half to the villagers who help them. After the peasants died, they were divided according to the will, and there was nothing left. How many cows did they share?

27.happy valley

There are three horses on the racetrack, starting from the starting line side by side, in the same direction. It is known that a stallion can run four laps in ten minutes, a mare can run three laps in ten minutes and a pony can run two laps in ten minutes. How long does it take for three horses to return to the starting line at the same time?

28. Ask for directions

In ancient times, I went to Beijing alone to catch the exam. When I came to the fork in the road, I didn't know which way to take. Seeing a man working behind a stone, he asked. Unexpectedly, the man didn't speak, just put his head out of the stone and looked at him. The examinee was about to get angry when he suddenly thought of the answer, so he chose a road to continue on his way. Do you know which way he chose?

Children.

Yesterday, my neighbor told me that his 6-year-old child accidentally fell from the window sill on the fifth floor. I was taken aback and asked, "How was the fall?" He said, "Nothing, but my arms and legs were skinned and didn't hurt my bones." The stone in my heart fell to the ground: "This child's life is really big."

30.painter

In ancient times, there was a painter in Nanzhuang, with superb skills and great fame. There is also a painter in Beizhuang who is a little unconvinced by the painter in Nanzhuang and always wants to meet him. One day, the painter came to the outside of Nanzhuang painter's courtyard and explained to the servant that he wanted to see his master. The servant invited him into the yard. I saw the door open and the servant said, "Come in!" " He lifted the curtain with his hand and turned away, shouting, "I was served, I was served." Why did he take it?

3 1. Match spelling

Please spell the word "day" with four matches. Be careful that matches don't fold.

32. A frog in the well

This well is 27 meters deep. 1 In the morning of June, a duckling frog climbed out of the bottom of the well. You can climb 3 meters during the day and drop 2 meters at night. At this rate, when can we climb to the well?

33. fishing; catch fish

There is a man who likes fishing. One day when he came back from fishing, someone asked him how many fish he had caught. He replied, "There are six headless, nine tailless and eight half-caught." Do you know how many fish he caught?

34. Country A and Country B

Once upon a time, there were two neighboring countries, country A and country B, which had a good relationship and a common currency. Later, the relationship between the two countries was in conflict. The king of country A ordered that the 100 yuan of country B can only be used to buy goods from 80 yuan in country A, and the king of country B also ordered that the 100 yuan of country A can only be used to buy goods from country B in 80 yuan. As a result, a wise man took advantage of this opportunity to make a fortune. How did he do it?

35. Beer and drinks

Xiao Zhang invited Xiao Li home for dinner. Knowing that Xiao Li likes to use his head, Xiao Zhang gave him a question: I spent 9.90 yuan on beer and drinks today. Can you guess how many bottles of beer and drinks I bought? If I guess right, I will punish myself with a glass of white wine; If I guess wrong, I will punish you. It only took little Ali a few minutes to get it out, so Xiao Zhang had to punish himself. Known beer 1.7 yuan per bottle, beverage 0.7 yuan per bottle. Can you figure out how many bottles of beer and drinks Xiao Zhang bought?

36. The hat problem (1)

The teacher called his three favorite students together to test their intelligence. He asked the three students to stand in a row before and after, and then took out five hats, three white hats and two black hats. He asked the students to hide the two black hats after reading them and put three white hats on them. None of the three students can see their hats, but the back can see the front, and the front can't see the back. The teacher asked three students to tell the color of their hats. After thinking for a while, the students in front answered: I am wearing white. How did he know?

☆☆ 37. Hat problem (2)

This question is similar to the above question, except that three students stand opposite each other and can see each other. After a while, the three students said in unison that they were wearing white hats. How did they guess?

38.volume

There is a medicine bottle with a scale on it, from which you can see the volume of medicine inside. But this scale is not from the bottom to the top of the bottle, and the mouth of the bottle is smaller than the bottom of the bottle. How can we measure the volume of the bottle?

39.import

Dad came back from a long trip and bought a lot of good things for Xiaoming. The table is full of: game machines, deformed steel, milk chocolate, dolls, mangoes, Rubik's cube, space guns, robots, cars ... Please help Xiao Ming find out which ones are imported.

40. Planting trees

There are 10 apple trees in the orchard, with 5 rows of 4 trees in each row. Do you know how it is planted?

4 1. Cut watermelon

Cut a watermelon into 4 knives. How many pieces can I cut at most? How to cut?

42. Flower hen

The flower hen in the east yard laid an egg in the chicken nest in the west yard. Who should the "property right" of this egg belong to?

43. Crossing the river (1)

A boat can only carry six people. One day, two couples came, each with two children, but the boatman didn't stop them and let them all board. Aren't boatmen afraid of overloading?

44. Crossing the river (2)

A wooden bridge can only span one person at a time. One day, two people came, one from the south and the other from the north. They all want to cross the river. Can they get there?

45. Crossing the river (3)

A man walked to the middle of the bridge and a child came over. Because the bridge is narrow, only one person can cross it, so he wants to make way for the child and walk back. Looking back, another child came behind. what can I do?

46. Crossing the river (4)

There is a wide river somewhere, and there is only one bridge on it. During the War of Liberation, the Kuomintang built a watchtower at one end of the bridge, in which the puppet troops took special care of the bridge. There is no boat on the river, so you must cross the bridge. Crossing this bridge requires at least

Five minutes, puppet troops

I came out every 4 minutes and drove back when I found someone passing by on the bridge. No one let me. To deliver a very important letter, our underground traffic police must cross the bridge. Thanks to the wit and courage of the traffic policeman, he successfully crossed the bridge and completed the task assigned by the organization. How did he pass?

47. Crossing the river (5)

Three PLA men captured three prisoners and prepared to bring them back to the army for interrogation. I met a big river on the road, and the bridge on the river has been bombed. There is only one boat on the shore, and only two people can sit at a time. Captives are dishonest. They always want to wait for a chance to escape. But they have been disarmed and will die if they go back. As long as the number of people's liberation army is not less than the number of prisoners under any circumstances, security can be guaranteed. Only one prisoner can row, and all PLA soldiers can row. How do PLA soldiers accomplish their tasks?

48. Crossing the river (6)

A farmer came to the river with a bag of rice on his back and a dog and a rooster. There is a boat in the river, and farmers can only take one thing at a time. In the absence of farmers, dogs eat chickens, chickens eat rice, and dogs don't eat rice. How can farmers bring them safely across the river?

49. Check the table

This happened in the 1950s. Master Zhang, an old worker, bought a big wall clock. He left after winding up. But there is no watch or radio at home, so I can't adjust the time of my watch, so I have to go to my home in Li Shifu not far away to set my watch. Because the wall clock is too big, it is inconvenient to pick it up. Master Zhang went home empty-handed and sat for a while. He adjusted his watch when he came back. How did he do it?

50. Boys and girls

A group of children are playing in the swimming pool. Boys and girls wear swimming caps of different colors, boys wear blue and girls wear red. A boy shouted, "What a coincidence! There are as many police tactical unit and red hats! " A girl immediately replied, "No, there are twice as many police tactical unit as red hats." ""what you said is wrong. " Several children on the shore who can't swim said in unison. How many boys and girls are there?

5 1. Long-term workers

Once upon a time, a local customer hired a long-term worker to look after his warehouse at night. One morning, the long-term worker said to the landlord, "I had a dream last night that your family made a fortune and your son became a big official." The landlord was very happy and gave him some money. In the afternoon, the landlord gave up his long-term job. Is this the reason?

52. Spell a square

A board as shown in the picture, can you put it back in the square?

┌┬┬┐

├┼┼┘

└┴┘

53. Fill in the number (1)

Fill in 1 ~ 9 in the 9 boxes below, so that the sum of the numbers in the 4 boxes in the upper left corner, 4 boxes in the upper right corner, 4 boxes in the lower left corner and 4 boxes in the lower right corner is equal.

┌┬┬┐

├┼┼┤

├┼┼┤

└┴┴┘

54. Fill in the number (2)

Fill in 1 ~ 9 in the 9 squares of the above question to make the sum of 3 numbers in each row, column and diagonal equal.

55. Move matches

With 24 matches, you can put out the square in the above question (called "Jiugongge"). If you take eight, it will become two squares. Which eight should I take with me?

56. Who will arrive first?

There are two people from A to B, one by bike and the other by train in the first half. The second half was blocked by the train, so I took the carriage instead. The speed of a train is six times that of a bicycle, and the speed of a bicycle is twice that of a carriage.

Who can get to the destination first?

57.3 boxes

In a box with a lid, there are two red balls, two blue balls and 1 red ball and 1 blue ball. On the three box covers,

Signs of "2 red balls", "2 blue balls" and "1 red ball 1 blue ball" were posted respectively. Due to negligence, all three signs were pasted wrong. Now please open a box, touch a ball, and then adjust the wrong symbol.

58. Water surface changes

In a basin full of water, there is a small box floating on the water, and there is a stone in the box. Please think about it. If you take the stone outside the small box, will the water level in the basin rise? Or will it be reduced?

59. Draw a circle in the square

There is a square box with a side length of 10 cm, which is filled with balls with a diameter of 1 cm. Do you know how many balls you can row at most? How should I arrange them to accommodate them to the maximum extent?

60. Red and white balls

Mix 25 red balls and 25 white balls and divide them into two equal parts. Is there more red balls on the left or white balls on the right?

6 1. Fill in the number

Please fill in eight numbers (1 ~ 8) in the eight boxes below.

Such that the sum of their horizontal and vertical rows is equal. This is a question in the math textbook of the first grade of primary school. Don't underestimate it, it's good to analyze the law in 30 minutes.

62. Strange Island

There is a very strange island in a very remote place. All men on the island, like us, always tell the truth. But women are special: they never tell two consecutive truths or two consecutive lies, even after a long separation.

A curious traveler heard that he later arrived at this island. As soon as I arrived on the island, I met a couple with a beautiful child. The traveler asked the child curiously:

"Are you a boy or a girl?" The child answered, but the traveler didn't catch it. So the child's mother said, "The baby lied." Is the child a boy or a girl?

63. The warehouse was stolen.

One night, two drivers and the shopkeeper took a bus to the warehouse to get something. One of the drivers and the shopkeeper went to the garage to get something, and the other driver looked at the car outside the door. At noon the next day, the keeper went to the warehouse to pick up the goods and found that many things in the warehouse were stolen, so he immediately reported the case. When the public security personnel arrived at the scene, they found that the doors, windows and roof were intact. Check that the lock hanging on the door shows no signs of being pried open and has not been replaced. However, after the public security personnel inquired about the situation at that time, they immediately judged the perpetrators. Do you know who is working on this case?

64. Guess the ranking

In a math contest, five students, A, B, C, D and E, won the top five. They wanted to know the specific ranking of each classmate, so they went to ask the teacher together. The teacher said, "Don't worry, you can guess first. But everyone can only guess the ranking of two people. " The result of five students' guess is:

A said, "B is the third, C is the fifth."

B said, "Ding is second, E is fourth."

C said, "A first, E fourth."

Ding said, "C comes first, B comes second."

Wu Shuo: "Ding is second, A is third."

After the students finished guessing, the teacher smiled and said, "You have a strong ability to answer questions, but your ability to guess questions is not good." Each of you guessed only half right. " After the teacher finished speaking, the students will know the result after a little analysis. Do you know the result now?

65. Hua Xian

Once upon a time, a young man rescued a beautiful girl from the wolf's paw when he was collecting medicine on the mountain. The young man led the girl home and gave her medicine. It's getting late and the girl is preparing to go back. Suddenly it rained heavily and didn't stop until dawn. When the girl left, she left an address for the young man to propose to her father.

The young man went to his aunt's house after breakfast and explained his purpose. The girl's father took him to the yard and pointed to seven flowers and said to him, "I have seven daughters." They are all here. If you can find them, take her back. "

The young man looked at it carefully and chose one without hesitation. The girl appeared in front of him immediately yesterday. These seven flowers look exactly the same. What did he say?

66. Answer quickly

(1) There were six birds in the tree, and they were shot off 1. How many birds are left?

⑵ There are 10 fish in the fish tank, and three are dead. How many are there?

(3) How many corners are there in a quadrilateral board when one corner is cut off with a knife?

(4) A group of PLA people are walking on the road, with 10 people in front and 10 people behind. How many people are there?

5] Two people are standing in opposite directions. How many mirrors do you need if you want to see each other?

[6] 10 The children are playing hide and seek. Five children were arrested. How many didn't get caught?

Once if the sky is cloudy at noon today, is there any hope of seeing the sun in 10 hour?

Being international songs a * * * how many words?