A collection of smart questions. Please add one!

Source: Internet
Author: User

I. Bean touch Problems
Five prisoners were arrested on the 1-5th basis in a sack containing 100 green beans. Each person was required to have at least one, but the most
And the minimum number of people will be killed, and they cannot communicate with each other, but the remaining number of beans can be found during the capture. Ask him
Who has the highest chance of survival?
Tip:
1. They are all very smart people.
2. Their principle is to save your life first and then kill more people.
3.100
4. If there are duplicates, they are also the largest or least, and all are killed together.

2. A Microsoft question
Mr. S, Mr. P, and Mr. Q all have sufficient reasoning capabilities. On this day, they were waiting for a reasoning interview.
They know that there are 16 cards in the drawer of the table:
Peach A, Q, 4
Taotao J, 8, 4, 2, 7, 3
Caohua K, Q, 5, 4, 6
Square A, 5
Professor John picked out a card from the 16 cards and told Mr. P about the points of the card.
Color tells Mr. Q. At this moment, Professor John asked Mr. P and Mr. Q: You can infer this from the known points or colors.
What is a card?
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. "Listen to the above conversation,
After thinking about it, Mr. S correctly launched the card. Excuse me: What is this card?

Iii. Dog Problems
A huge courtyard has 50 families, and each family has a dog. The people in this courtyard have strong reasoning capabilities.
One day they were notified that a dog was ill in the yard and asked all the owners to find their dogs were ill.
The dog will be shot dead on that day.
However, neither the owner nor their dog can leave their house, nor can the owner pass
How do they communicate? All they can do is to observe the windows to determine if the dogs of other people are ill.
No. (That is to say, each owner can only see whether the other 49 dogs are ill or not.
)
There was no gunshots on the first day, there was no gunshots on the second day, and there was a gunshot on the third day, asking how many dogs were shot.
Kill?

4. Monkey bananas
A monkey has 100 bananas on the side. It takes 50 meters to get home,
Each time it moves up to 50 bananas, it is crushed to death.
One rice is about to eat. Could you tell me how many bananas it can take to move to the house.
Tip: he can put the banana down for a round trip, but he must ensure that every walk
One rice can have bananas. You can also drop some bananas when you reach N meters,
Take n bananas and move back to 50.

V. Pouring Water
There are three cubes without a cover box, regardless of the container thickness, the volume is 1*1*1, 2*2, 3*3.
Requirements: 1. Use these three boxes to hold 13 of the water
2. Each Cup can only be filled with water once.
3. No waste of water.
How can this problem be solved.

Vi. Wine sharing Question 1
There is one 8-litre wine-filled cup and two small cups. The two A and B should share the eight-litre wine equally, making both people feel fair.
By the way, a first splits the wine into two small cups until he thinks that he will not suffer any loss. Then let B
Select a cup that you think is the most cost-effective. The remaining cup is for. Now there are two 8-litre wine-filled cups and four small cups.
How can we make everyone feel fair by dividing the four members of sub-and ABCD?

7. Wine sharding Question 2
There are three wine glasses, two of which can be 8 wine glasses and one can be 3 wine glasses. Now the two wine glasses are full of wine.
How can we evenly distribute the three cups to four people?

8. Ball Problems
(1) A total of 12 balls of the same weight, only one of which is different from the others (unknown weight), give you a balance, only
Name it three times and find the ball with different weights.
(2) A total of 13 balls of the same weight, only one of which is different from the others (unknown weight), give you a balance, only
Name it three times and find the ball with different weights.

9. Nominal drug problems
There are 10 cans of medicine, one of which has deteriorated ...... It is known that the normal medicine is 10 Gb per grain, and the deterioration is 9 GB per grain. How can this problem be called once?
Which tank has deteriorated?

10. Typical hats
1. There is a cell and three prisoners are in it. Because the glass is thick, three people can only see each other and cannot hear each other.
Voice ."
One day, the king thought of a way to give each of them a head wearing a hat, only to let them know the color of the hat
It's either white or black, so they don't know the color of their hats. In this case, the King announces two
As follows:
(1) who can see the other two prisoners wearing white hats can release them;
(2) Whoever knows that he is wearing a black hat will release it.
In fact, the king gave them black hats. Because they were bound, they could not see themselves. So the three of them interact with each other.
Staring and not talking. However, in the near future, mind a determined that he was wearing a black hat by means of reasoning. How is he pushing?
Disconnected?
2. Ten people stand in one column,
Each head has a hat, either red or blue.
Each person can only see the color of the hats of all people standing in front of him.
Now let everyone report a color,
Please try to make as many people as possible report the color of his hat.
For example, if a person in an even position reports the color of his hat, the person in front of him starts to report the color from the tenth position,
The odd digit can know the color of his hat,
In this way, five people reported the color of their hats.
How can we make the color of a nine-person report the color of his hat?

11. One dollar banknote
Note: coins in American currency include 1 cent, 5 cent, 10 cent, 25 cent, 50 Cent, and 1 dollar. Proceed
Let's look at the text and challenge the limits of your logical reasoning.
A store was just open, with only three male customers and a female shopkeeper in the store. When the three men stood up to pay the bills at the same time
The following situations occur:
(1) Each of the four has at least one coin, but neither is a coin with a nominal value of 1 cent or 1 dollar.
(2) none of the four can open any coin.
(3) A man named Lu has the largest amount to pay, and a man named Mo has the second to pay.
De's men have to pay the minimum amount of bills.
(4) No matter how much a man pays the bills with his coins, the shopkeeper cannot clear the change.
(5) If the three men exchange coins in their hands, they can pay off their bills.
No need to change the value.
(6) After the three men exchanged their values twice, they found that the coins in their hands were hard
No currency has the same nominal value.
As things develop, the following situations occur:
(7) after the bill is paid off and two men leave, the men left behind will buy some sweets. This man was supposed
He paid with the remaining coins in his hand, but the shopkeeper was unable to clear the change with the coins she was holding.
(8) so the man paid for the candy with a dollar bill, but now the female shopkeeper had to put all her coins

He was found.
Now, please don't worry about how the shopaholics will encounter troubles when looking for a fraction that day. Who of the three men used 1 dollar worth of paper?
Coin paid for candy?
 

12. Apple oranges
There are three boxes of fruit, one is Apple, the other is orange, and the other is mixed with two kinds of fruit. The three boxes are marked
Signature, but all labels are labeled incorrectly ~ Now you are required to take out only one fruit to determine the situation in the three boxes ~

13. It's hard to fill in a symbolic mathematical question on the 13th!
Add, subtract, multiply, and divide the result to 2008:
1. (34 □5 □6 □8 □9 □1) □2 = 2008
2. (56 □7 □89 □1 □23 □1) □4 = 2008
3. 5 □8 □25 □20 □5 □10 □2 □4 = 2008

14. A question about Aircraft Refueling ZZ
Known:
Each aircraft has only one fuel tank, and the aircraft can refuel each other (note that there is no fuel dispenser) a box of oil is available for one rack.
The plane traveled half a circle around the Earth.
Problem:
How many planes should be dispatched to bring at least one plane around the Earth back to the airport when it was flying? (All aircraft from the same
The airport must take off and return to the airport safely. It is not allowed to land in the middle. There is no airport in the middle)

15. Coin reading
16 coins, A and B take some of them in turn. Each time they take only one of the numbers 1, 2, and 4.
Who finally took the coin and lost.
Q: Does A or B have a strategy to win?
Assuming they are all smart

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