There are two prisoners in a cell. Every day, the prison will provide this cell with a can of soup for two prisoners to share. At first, these two people often have arguments, because one of them always thinks that the other has more soup than his own. Later, they found a way to kill two birds with one stone: one person divided the soup and let the other person choose first. In this way, the dispute was settled. But now there is a new prisoner in this cell, and now there are three people sharing the soup. New ways must be found to keep the peace between them. What should I do?
Press: Psychological problems, not logical problems.
2 puzzle cards
Mr. S, Mr. P and Mr. Q know that there are 16 playing cards in the desk drawer: hearts A and Q, 4 spades J, 8, 4, 2, 7, 3 flowers K, Q, 5, 4 and 6 diamonds A and 5. 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? 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?
A professor who teaches logic has three students, all of whom are very clever!
One day, the professor gave them a question. The professor put a note on everyone's forehead and told them that everyone had written a positive integer on the note, and the sum of some two numbers was equal to the third! Everyone can see the other two numbers, but not his own.
The professor asked the first student: Can you guess your own number? Answer: No, ask the second, the third, the first, the second, the third: I guessed right, it was 144! The professor smiled with satisfaction. Can you guess the numbers of the other two?
4 monkey climbing rope
This strange mechanical problem is very simple at first glance, but it is said that it puzzles lewis carroll. As for this road
Is this strange question put forward by a mathematical expert from Oxford University who is famous for Alice in Wonderland? Then no.
I see. In a word, at an unfortunate moment, he asked people's opinions on the following questions:
A rope passes through a frictionless pulley, one end of the rope is hung with a weight of 10 pound, and the other end of the rope
There is a monkey, just in balance with its weight. How does the weight move when the monkey starts to climb up?
"It's strange," Carol wrote, "that many excellent mathematicians have given completely different answers. Price thinks that fat
The code will go up and the speed will be faster and faster. Clifton (and harcourt) thought that he would weigh as much as a monkey.
The speed of rising, but sampson said, the weight will drop! "
An outstanding mechanical engineer said that "it is not more effective than a fly climbing on a rope", but a scientist thought.
The rise or fall of weight will depend on the reciprocal of the speed at which monkeys eat apples, but find out the monkey's tail.
Square Root Seriously speaking, this topic is very interesting and deserves careful consideration. It can explain one of the interesting problems and mechanical problems.
The close relationship between them.
Xiao Ming and both are students of Teacher Zhang. Teacher Zhang's birthday is M month, N day,
Everyone knows that teacher Zhang's birthday is one of the following 10 groups.
Teacher Zhang tells Xiaoming the value of m and the value of n,
Teacher Zhang asked them if they knew when his birthday was.
March 4, March 5, March 8
June 4, June 7
September1September 5
65438+February165438+February 2nd 65438+February 8th
Xiao Ming said: If I don't know, Xiao Qiang certainly doesn't know.
Xiao Qiang said: I didn't know at first, but now I know.
Xiao Ming said: Oh, I know that, too.
Please infer when teacher Zhang's birthday is from the above conversation.
A logician strayed into a department and was imprisoned. The director wants him to leave. He said to the logician, "There are two doors, one is freedom and the other is death. You can open any one. Now choose one of the two soldiers to answer any questions you ask (Y/N). One of them is honest by nature, and the other is a liar. You can choose life and death in the future. " The logician pondered for a while, then asked a soldier a question, then opened the door and left quietly. How should logicians ask questions?