Infinito Hotel

Author: [America] T. pappas

Unlimited hotel is a hotel with unlimited rooms. One of the qualifications of unlimited hotel employees is to have unlimited knowledge.

Paul is a new employee of Infinite Hotel. His duty is to find rooms for the guests. When he went to work at night, he found that all the rooms were full. At this moment, a new guest came in with an advance order. He thought for a while and found a room for the new guest.

Unexpectedly, an infinite car carrying countless guests arrived at this time. I wonder what he should do.

Will they meet?

Author: [America] T. pappas

"Where are you calling from?" Bert asked. At the moment, he is in the office at the corner of Merton Street and Spokelous Street, listening to the phone and watching the traffic outside the window.

"At a telephone booth at the intersection of Dale Street and King Street," Ben replied weakly. "Go four blocks south from where you live and a few blocks east!"

Bert looked at the clock and shouted, "You start now and we'll meet halfway!" " He put down the phone with a bang. Only then did he realize that he hung up too fast and didn't make it clear how to contact each other.

In fact, there are exactly 70 different routes between two intersections, and the choice between routes has nothing to do with distance.

So, how to understand the meaning of "several" in this sentence?

Mild gambling

Author: [America] T. pappas

"I don't have any change," Hank said, jingling his coins. "How much do you have?"

Ben looked at it and replied, "Exactly five. What's wrong? "

"Do you want to know? How about I want some gambling games? " Hank began to divide the cards as he spoke. "It is stipulated that the loser in the first game will pay one-fifth of the money; The loser in the second game lost a quarter of what he had at that time; The loser in the third game has to pay one-third of what he had at that time. "

So they fought accurately and paid each other. Ben lost in the third game. After paying the money, he stood up and declared, "I think this game puts too much energy into it and pays too little." Until now, the amount between us has always been only seven points. "

This is naturally a small bet, because together they only have 75 cents.

How much money did Hank have at the beginning of the game?

take?it?for?a?spin

Author: [America] T. pappas

"What are you up to, Bill?" The professor said attentively. At this time, his friend was drinking the rest of the coffee in one breath and stood up to leave.

"Ready to take three girls to travel by bus!" Bill replied.

The professor smiled: "So that's it! How old are the three beautiful women? "

Bill thought for a moment and said, "Multiply their ages to get 2450, but they are exactly twice as old as you."

The professor shook his head and said, "Very clever, but their age is still a problem."

Bill is still here. He added, "Yes, I forgot to say that I am at least one year younger than the oldest." This makes everything clear!

Of course, the professor knows his friend's age. Excuse me, can you work out their ages?

A world without troubles

Author: [America] T. pappas

"You are too poor, Mike," said the visitor. "There is only one acre of land, a cow and a hut."

"I'm rich," Michelle replied. He is satisfied with everything. "You can't find a piece of land like me in Ireland. It has only three sides, not four, and each side is equal. Cows only need to eat half the grass, not more. In a corner of the ground, there is a pile of cows tied with ropes, just long enough. The ground is covered with grass, which provides enough room for cattle to move. We are very happy! " He smiled and said, "I think that's enough and I'm free!" " "

Then, please tell me, how long is the rope that ties the cow?

bonus

Author: [America] T. pappas

When the secretary came into the office, Jack smiled and said, "Betty, since I have finished my work, please call everyone else in."

Soon, five employees, including Betty, came to see him. I don't know what happened. But the boss soon let them relax. Jack told them, "I think you must be very happy to know that my transaction in clermont is finally profitable. This is a bonus of $260, which will be distributed to you as a symbol. "

Betty thinks that her status is lower, and the repressed idea that "it may not be my turn" breaks her heart.

But to my satisfaction, Jack continued, "I have worked out the number of years you have worked with me, and I will pay the bonus according to this ratio, but men are allowed to get half of the bonus every year." As he spoke, he handed everyone an envelope. The sudden gratitude made the employees feel a little embarrassed.

This is really good luck for them!

It is known that their full working years are 2 years, 3 years, 5 years, 6 years and 7 years respectively. Please work out how many women are on Jack's staff.

After the party.

Author: [America] T. pappas

"They all seemed awake when they left last night," said Bob, who had just returned home from the office.

"I don't think it will be worse than you," his wife firmly believes. "What's the matter?"

Bob smiled faintly. "The four of them have been calling me all day," he told her. "I must solve this mystery. They all took each other's coat and another man's hat by mistake. "

"When you came home, I felt something was wrong," Betty said with a smile. "Go on with your sad story!"

"Well, let me separate: Joe took a guy's coat, and that guy's hat was taken away by Steve; Steve's coat was taken away by another man, who took Joe's hat. "

"What about Ron?" Betty is very interested in this.

"He called first," Bob answered. "He took Togo's hat."

This is a real party! Whose coat and hat did Joe and Steve take?

Pinball game

Author: [America] T. pappas

"Come by yourself, but each person only takes 12," said Jim, taking out a dozen marbles from the box. "We have fewer green marbles here than blue ones, and blue marbles are less than red ones. So when everyone takes it, they should take the one with the most red and the one with the least green. But bring every color! "

After Jim did it himself, the other boys followed suit. There are always only three colors of marbles here, and the number of marbles in the box is just enough for everyone to take.

"We all take different methods!" Joe observed the marbles that everyone took out and said. "Only I have four blue ones!"

"So what?" Peter found himself dropping a green marble, so he picked it up. "Let's play!" "

So they started playing marbles.

There are always 26 red marbles here. How many boys are there here?

prime formula

In this strange puzzle, all the asterisks represent prime numbers. According to the usual definition, 1 is not a prime number.

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The title of poet Bainier Ketov.

Author: [Su]

Many lovers of Russian literature do not doubt that the great poet Bernier Ketov is the author of the first monographic collection of Russian mathematical brains. This collection was not published, but was preserved in the form of a manuscript, which was found in 1924. I had a chance to see this manuscript, and according to one of the questions, I decided that the writing year of this topic was 1869 (this year was not indicated in the manuscript). The following is a topic written by the poet in the form of a novel, which I recorded from this collection. The original title is "Clever Solution to Strange Problems".

"A woman selling eggs sent her three daughters to the market to sell her 90 eggs. She gave 10 eggs to the cleverest eldest daughter, 30 to the second daughter and 50 to the youngest daughter, and said to them:

You should discuss the price first, and then don't give in. You all insist on one price, but I hope my eldest daughter can use her wisdom to sell her 10 eggs, even at the agreed price, and teach the second girl to sell her 30 eggs and the third girl to sell her 50 eggs. Let the input and price of three people be the same as each other. Also, I hope that when you sell eggs, every 10 egg is not less than 10 cent, and all 90 eggs are not less than 90 cents, that is, not less than 30 Ahlden.

I'm here to interrupt the story of Bernier Ketov, so that readers can think for themselves: How did three girls accomplish their tasks?

The title of poet Bainier Ketov (answer)

Author: [Su]

Bainier Ketov's story ends like this:

"This topic is really nerve-racking. On the way to the market, three girls walked and discussed. Later, two girls and three girls asked their elder sister for advice. Sister wanted to think, and said:

-sisters, we used to sell ten eggs, ten eggs, but this time we don't do this, we sell seven eggs, seven eggs instead. Let's set a price for every seven eggs. According to mother's instructions, all three of us must abide by them. Yes, not a penny! Each copy (3 points). what do you think?

That's too cheap, said the second girl.

But after we sell seven eggs in portions, we will raise the price of the remaining eggs! I noticed that no one else sells eggs in the market today except you and me, so no one will lower our price.

Then, the price of the remaining valuables will naturally go up as long as someone is in urgent need and there is not much left. We just want to earn it back with the remaining eggs.

So, what's the price of the remaining eggs?

-3 Ahlden per egg. Pay the money, that's the price, and the buyer who is waiting for the egg to go to the pot will pay this price.

It's a little too expensive Two girls are talking again.

What's the matter, my sister replied? But is it too cheap to sell our eggs in seven portions? The two just cancel out.

Everyone agreed.

When they arrived at the market, the three sisters sat down to sell their eggs.

Men and women who bought things, seeing that eggs were so cheap, all ran to Miss San's place, and her fifty eggs were robbed at once: she sold seven eggs in seven portions and seven Ahlden, and there was one egg left in the basket. Two girls had 30 eggs, 7 of which were sold to 4 customers, and 2 eggs were left in the basket, earning 4 Ahlden. Sister sold seven eggs, sold 1 Ahlden, and there were three eggs left.

At this time, a female chef came to the market. She was ordered by the housewife to buy eggs. Her task is to buy 10 eggs. It turns out that housewives' sons come back to visit relatives and like fried eggs very much. The cook wandered around the market, but all the eggs were sold out. There are only six eggs left on the three egg carriers: one booth has only 1, the other booth has only two, and the other booth has only three. Well, buy all these,

As you can imagine, the cook first ran to the stall with three eggs, which was the only stall where Ahlden sold her eggs. The cook asked:-How much are these three eggs?

The man replied, "Three Ahlden and one-what's the matter with you? Are you out of your mind? Another man said, suit yourself, not for a penny. That's all.

The cook ran into a booth and there were only two eggs in the basket.

-What's the price?

-Three Ahlden and one. There is no price.

How much do you charge for this egg? -the female chef asked three girls.

-man's answer: three Ahlden, all the eggs are sold out.

There's nothing I can do. I have to buy eggs at an unprecedented price.

Give me all the remaining eggs!

So, the cook paid nine yuan to the big girl and bought her two eggs. In this way, with the original 1 ahl den, the older girl sold 10 ahl den. Two girls got six ahldens for two eggs, and four Ahlden * * * who used to sell four eggs got 10 ahldens. Three girls sold three Ahldens for the rest of the eggs, plus seven ahldens that sold seven eggs before, and one * * * also got 10 Ahlden.

After the three sisters came home, they paid 10 to Ahlden's mother, and told her how they sold it and how they followed the same conditions in price, so as to achieve the goal of selling 10 eggs and 50 eggs at the same price.

The mother is very satisfied that the three daughters have completed the tasks assigned by her so accurately, and she is even more happy with the cleverness of the eldest daughter. What makes her most happy is that her daughter's total income of 30 holden (or 90 cents) fully meets her wishes.

Water and wine

Author: [Su]

One bottle holds one liter of wine, and the other bottle holds one liter of water. Take a spoonful of wine from the first bottle and put it in the second bottle, then take a spoonful of water-wine mixture from the second bottle. Put it in the first bottle.

Is there more water in the first bottle or more wine in the second?

A cup of peas

Author: [Su]

You can often see peas with a glass in your hand. You must know the size of these two things very well. Now, there is a glass full of peas. String beans together like beads.

How long will this string of beans be if straightened?

dice with buddies

Author: [Su]

Dice is hexahedron, and six faces are engraved with six points of 1-6 respectively.

Xiao Li bet that if the dice are thrown four times in a row, then one of these four times must be a "point" (that is, a point is up).

Xiao Wang thinks that if you throw it four times in a row, either there is no "dot" at one time, or the number of "dots" appears more than 1.

Which of them is more likely to win?

tree leaf

Author: [Su]

If all the leaves of an old tree (such as an old bodhi tree) are picked and arranged in a row, with no gap in the middle, how long are the leaves in this row? Is it enough to go around a big house?

1 million steps

Author: [Su]

Of course you know what "1 million" is, and you also know how long you have traveled. Since you know both, it should not be difficult to answer the following questions: How far will you go after taking 1 million steps? /kloc-more than 0/0 km? Or less?

cubic metre

Author: [Su]

A school teacher asked: If all cubic millimeters contained in a cubic meter were piled up one by one into a slender column, how high would this column be?

-higher than the Eiffel Tower in Paris (300 meters high)! -a primary school student answered.

-Bi Mengbran (5 km high) is still high! -Another answer.

Which of them made the bigger mistake?

Who's better?

Author: [Su]

It took two hours for two people to count the number of people walking on the sidewalk in front. One of them is standing in front of the house, while the other is walking up and down the sidewalk.

Who counts more pedestrians?

Teachers and students

Author: [Su]

The story here is said to have happened in ancient Greece. Prota, a master of wisdom and sophistry, is teaching Zedel, his young student, to learn the law business. It is agreed between the teacher and the students that the students must pay the teacher when they make achievements for the first time, that is, when they win the lawsuit for the first time.

Coindre has completed all the courses. Prota Hector is waiting for the student's reward, but the student is in no hurry to appear in court to defend. What shall we do? In order to recover the arrears from the students, the teacher brought a lawsuit to the court. He thinks this way: if the plaintiff