Example 1: You ask a worker to work for you for 7 days, and the reward for the worker is a gold bar. The gold bar is divided into 7 connected segments and you have to give them a segment of the gold bar at the end of each day. How do you pay your workers if you are only allowed to break the gold bar twice?

Xiao Pu (currently working in minimally invasive surgery and encountered this test question last year): This question is relatively simple compared to other minimally invasive test questions, but it still made me confused. At that time, I did this question. If it is broken twice, it should be divided into three parts. I divided the gold bar into three parts: 1/7, 2/7 and 4/7. In this way, I can give him 1/7 on the first day; on the second day, I can give him 2/7 and let him get back my 1/7; on the third day, I can give him another 1/7, plus the original 2 /7 is 3/7; on the 4th day, I gave him the 4/7 and asked him to retrieve the two gold bars of 1/7 and 2/7; on the 5th day, I gave him another 1/7; on the 6th day Same as day 2; give him the 1/7 he found on day 7.

Example 2: Now Xiao Ming’s family is crossing a bridge. It is dark when they cross the bridge, so there must be lights. Now it takes Xiao Ming 1 second to cross the bridge, Xiao Ming's brother takes 3 seconds, Xiao Ming's father takes 6 seconds, Xiao Ming's mother takes 8 seconds, and Xiao Ming's grandfather takes 12 seconds. A maximum of two people can cross this bridge at a time, and the speed of crossing the bridge depends on the slowest person crossing the bridge, and the lights will go out 30 seconds after being lit. Ask Xiao Ming how to cross the bridge?

Reference answer: This type of intelligence question actually tests the applicant's ability to solve problems under restricted conditions. Specific to this question, many people often think that Xiao Ming should come and go with the light, which saves the most time, but in the end they can't come up with a solution. But to change the way of thinking, we decide who comes and goes with the light according to the specific situation, as long as we make a few changes: in the first step, Xiao Ming crosses the bridge with his brother, and Xiao Ming comes back, which takes 4 seconds; in the second step, Xiao Ming crosses the bridge with his father River, the younger brother came back, which took 9 seconds; the third step, mother and grandfather crossed the river, and Xiao Ming came back, which took 13 seconds; finally, Xiao Ming and his younger brother crossed the river, which took 4 seconds, and the total time was 30 seconds. What a thrill!

Expert opinion: This type of question mostly appears in recruitment interviews of multinational companies, and it has an extremely obvious effect on examining a person’s way of thinking and his ability to change his way of thinking. According to some studies, such ability It is often closely related to the state of adaptability and innovation at work. Therefore, when answering these questions, you must break through the fixed thinking, try to consider the problem from different angles, continue to think reversely, think from other people's perspective, and connect the questions with familiar scenes to avoid confusion.

Now let’s start with questions to test everyone:

Intelligence question: guessing cards

Introduction: This is a classic interesting logic question.

Detailed introduction:

Mr. S, Mr. P, and Mr. Q know that there are 16 playing cards in the drawer of the table: A, Q, 4 of hearts, J, 8, 4, 2, 7, 3, K, Q, 5, 4, 6, A, 5 of diamonds. Professor John picked out a card from these 16 cards, and told Mr. P the value of this card, and told Mr. Q the suit of this card. At this time, Professor John asked Mr. P and Mr. Q: Can you infer what card this card is from the known points or suits? 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 it too.

After listening to the above conversation, Mr. S thought for a while and then correctly guessed what the card was.

Excuse me: What is this card?

Collection of classic puzzles

Introduction: See how good you are?

Detailed introduction:

1. A manager has three daughters. The sum of the ages of the three daughters is equal to 13. The sum of the ages of the three daughters is equal to the age of the manager himself. There is one The subordinate already knew the age of the manager, but still could not determine the ages of the manager's three daughters. At this time, the manager said that only one daughter had black hair, and then the subordinate knew the ages of the manager's three daughters. What are the ages of your three daughters? Why?

2. Three people went to stay in a hotel and stayed in three rooms. Each room cost $10, so they paid the boss $30 one day. The next day, the boss thought the three rooms only cost $25. Yuan was enough, so I asked the boy to return $5 to the three guests. Who knew that the boy was greedy, so he only returned $1 to each person, and secretly took $2 for himself. In this way, each of the three guests spent nine yuan, so the three I spent $27 per ticket, plus my little brother ate up another $2, the total was $29. But when the three of them paid $30 a ***, where was the remaining $1?

3. There were two blind men. They each bought two pairs of black socks and two pairs of white socks. The eight pairs of socks were made of the same fabric and size, and each pair of socks had a piece of trademark paper. Connected. Two blind men accidentally mixed up eight pairs of socks. How can each of them retrieve two pairs of black socks and two pairs of white socks?

4. A train leaves Los Angeles and goes straight to New York at a speed of 15 kilometers per hour, and another train runs from New York to Los Angeles at a speed of 20 kilometers per hour. If a bird starts from Los Angeles at the same time as two trains at a speed of 30 kilometers per hour, encounters another car and returns, flying back and forth on the two trains until the two trains meet, what will this bird do? How far did the bird fly?

5. You have two jars, 50 red marbles and 50 blue marbles. You randomly select a jar and randomly select a marble and put it into the jar. How to give the red marble the maximum Chances of selection? In your plan, what is the exact probability of getting a red ball?

Classic interview questions: Interesting intellectual questions from foreign companies

6. You have four jars containing pills. Each pill has a certain weight. The contaminated pills are not contaminated. The weight + 1. Only weigh once, how to determine which jar of medicine is contaminated?

7. Perform the following operations on a batch of lights numbered 1 to 100, with all switches pointing upward (on): For every multiple of 1, turn the switch once in the opposite direction; for multiples of 2, turn the switch once in the opposite direction. Switch; in multiples of 3, flip the switch in the opposite direction... Q: The last number is the number of the light in the off state.

8. Imagine you are in front of a mirror. May I ask why the image in the mirror can be reversed left and right, but not up and down?

9. A group of people had a dance party, and everyone wore a hat on their head. There are only two kinds of hats, black and white, and there is at least one black one. Everyone can see the color of everyone else's hats, but not their own. The host first asked everyone to see what hat others were wearing, and then turned off the lights. If anyone thought they were wearing a black hat, they would slap themselves in the face. When I turned off the lights for the first time, there was no sound. So the lights were turned on again, and everyone watched it again. When the lights were turned off, there was still silence. It wasn't until the third time the lights were turned off that the sound of slaps could be heard. How many people wear black hats?

10. There are two rings with radii of 1 and 2 respectively. The small circle goes around the circumference of the big circle inside the big circle. How many times does the small circle rotate by itself? If it is outside the big circle, how many times will the small circle rotate by itself?

11. A bottle of soda costs 1 yuan. After drinking, two empty bottles are exchanged for one bottle of soda. Question: You have 20 yuan. How many bottles of soda can you drink at most?

Determining the color of the hat

Introduction: This is a classic interesting logic question.

Detailed introduction:

There are 3 red hats, 4 black hats and 5 white hats. Let 10 people stand in a line from shortest to tallest and put a hat on each of their heads.

No one can see the color of the hat they are wearing, but they can only see the color of the hats of those standing in front. (So ??the last person can see the color of the hats on the heads of the 9 people in front, but the person at the front can’t see any hats. Now starting from the last person, ask him if he knows the color of the hat he is wearing. If he answers If you don’t know, just continue to ask the person in front. Assume that the person in front must know that he is wearing a black hat.

Calling Apple Question

Introduction: It’s not a brain teaser. Turn around, think about it

Detailed introduction:

10 boxes, each box contains 10 apples, one box contains 9 taels of apples, and the others are the same. 1 kilogram/piece. It is required to use a scale and only weigh it once to find the box containing 9 taels/piece.

The prisoner's survival problem

Introduction: A real problem that stumps hundreds of millions of people. This is an interview question from Microsoft.

Detailed introduction:

Five prisoners were assigned numbers 1-5 to catch mung beans in a sack containing 100 mung beans. Each person catches at least one, and the person who catches the most and the least will be executed. Moreover, they cannot communicate with each other, but when catching, they can find out the number of remaining beans and ask them who has the highest chance of survival. ? Tips:

1. They are all very smart people

2. Their principle is to save their lives first, then kill more people

3,100 It is not necessary to divide all the pellets

4. If there are duplicates, they will be counted as the largest or smallest, and they will be executed together

Table tennis problem

Introduction: The The question is modified from the Chinese Ballad website and is somewhat difficult.

Detailed introduction:

Suppose there are 100 table tennis balls arranged in a row, and two people take turns to put the balls into their pockets. Which one can get the first one? The person with 100 ping pong balls is the winner. The conditions are: each time the player gets the ball, he must get at least 1, but no more than 5. Ask: If you are the first to get the ball, how many should you get next? Does taking it guarantee that you will get the 100th ping pong ball?

The speed of the goat

Introduction: None

Detailed introduction:

Professor Lum said: "I once witnessed a deadly duel between two goats, which led to an interesting mathematical problem. One of my neighbors had a goat that weighed 54 pounds and had been around for several seasons. The mountainous area became king. Then some bad guy introduced a new goat, which was 3 pounds heavier. At first, they lived in harmony with each other. But one day, the lighter goat stood up. At the top of a steep climb, it pounced on its rival, who stood on the mound to meet the challenge, and the challenger clearly had the advantage of being on top. Unfortunately, both goats died as a result of the violent collision.

Now let’s talk about the wonder of this topic. George Abercrombie, who has done a lot of research on raising goats and has written books, said: “Through repeated experiments, I found that momentum is equivalent to A single impact from a 30-pound object dropped from 20 feet would be enough to crush a goat's skull and kill it. "If what he said is right, then how fast must the two goats approach at least to smash each other's heads? Can you calculate it?

The problem of the wine shop proprietress

Introduction: None

Detailed introduction:

It is said that someone posed a problem to the proprietress of the wine shop: This person clearly knew that there were only two spoons for scooping wine in the shop, each of which could scoop 7 taels. He had 11 taels of wine, but he insisted on the landlady selling him 2 taels of wine.

The smart landlady was unequivocal. She scooped wine into the wine vat with these two spoons and poured it back and forth. She actually measured out 2 taels of wine. Can you do it, you smart person?

A question about aircraft refueling

Introduction: None

Detailed introduction:

Known: Each aircraft has only one fuel tank. Planes can refuel each other (note that it is each other, there is no tanker). One tank of fuel can allow one plane to fly half a circle around the earth. Question: In order for at least one plane to circle around the earth and return to the airport where it took off, at least How many planes need to be dispatched? (All planes take off from the same airport and must return to the airport safely. Landing is not allowed. There is no airport in between)

Problem

Introduction: This type of question is difficult. If you get If you don't have an answer, you can't explain anything. If you think of the solution to the problem, the answer will come out immediately. If you can't think of an idea, then...don't even think about solving it.

Detailed introduction:

1. You let workers work for you for 7 days, and the reward is a gold bar. This gold bar is divided into 7 connected segments. You must finish the job at the end of each day. Give them a gold bar. How do you pay your workers if you are only allowed to break the gold bar twice? 2. A train leaves Beijing and goes straight to Guangzhou at a speed of 15 kilometers per hour. At the same time, another train leaves Guangzhou and goes to Beijing at a speed of 20 kilometers per hour. If a bird starts from Beijing at the same time as two trains at a speed of 30 kilometers per hour, it will fly back in the opposite direction after encountering another train, and it will fly back and forth between the two trains in sequence. Fly until the two trains meet. Please tell me, how far did this bird fly? 3. You have four jars containing pills. Each pill has a certain weight. The contaminated pill is the weight of the uncontaminated pill 1. How can you tell which jar of medicine is contaminated when you only weigh it once? 4. The three switches outside the door correspond to the three indoor lights respectively. The wiring is good. When controlling the switch outside the door, you cannot see the indoor lights. Now you are only allowed to enter the door once. Are you sure about the corresponding relationship between the switches and lights? 5. Why does the RMB only have face values ??of 1, 2, 5, and 10? 6. You have two jars, 50 red marbles and 50 blue marbles. You randomly select a jar and randomly select a marble and put it into the jar. How to give the red marble the greatest chance of being selected? In your plan, what are the chances of getting a red ball?

No answer type

Introduction: These questions are obviously not a test of your intelligence. The test is your reaction ability.

Most of these questions have no answers, but it depends on your reaction!

Detailed introduction:

1. Why are sewer lids round? 2. How many cars are there in China? 3. Insert the car key into the car door. In which direction can you turn it to unlock the car? 4. If you were to remove any of the 34 provinces in China (including autonomous regions, municipalities, Hong Kong, Macao Special Administrative Region and Taiwan Province), which one would you remove and why? 5.How many gas stations are needed to satisfy all the cars in China? 6. Imagine you are standing in front of a mirror. May I ask why the image in the mirror can be reversed left and right, but not up and down? 7. Why is it that in any hotel, when you turn on the hot water, hot water pours out instantly? 8. How would you explain the use of Excel to your grandma? 9. How would you redesign and redesign an ATM bank machine? 10. If you had to relearn a new computer language, how would you go about getting started? 11. If you plan to receive a reward within 5 years in your career plan, what is your motivation for receiving the reward? Who is the audience? 12. If Microsoft told you that we were going to invest five million dollars to start your investment plan, what business plan would you start? Why? 13. If you could gather all the computer manufacturers from around the world in an office and tell them they would be forced to do one thing, what would that thing be?

Drawing lines

Introduction: (3 minutes-20 minutes)

Detailed introduction:

Draw 10 lines on 9 points Straight lines, requiring at least three points on each straight line?

Weighing balls

Introduction: (5 minutes-1 hour)

Detailed introduction:

12 balls and a scale, now Knowing that only one weight is different from the others, ask how to weigh it so that you can find the ball in three uses. What about 13? (Note that this question does not indicate whether the ball is light or heavy, so you need to consider it carefully)

Ask for directions

Introduction: (20 seconds-2 minutes)

Detailed introduction:

A fork in the road leads to the country of honesty and the country of lies. Two people came, one was known to be from an honest country, and the other was from a liar country. An honest country always tells the truth, and a liar country always tells lies. Now you are going to Lie Country, but you don’t know which way to go. You need to ask these two people. What should I ask?

Weighing water

Introduction: (40 seconds-3 minutes) Answer

Detailed introduction:

If you have infinite water , a 3-liter bucket and a 5-liter bucket. The shapes of the two buckets are uneven up and down. How can you accurately weigh 4 liters of water?

Determine the color

Introduction: (5 seconds-1 minute) answer

Detailed introduction:

You have a bucket of jelly, which contains There are three kinds of yellow, green and red. Close your eyes and grab two of the same color. How many do you need to grab to be certain that you have two jellies of the same color?

Title: Pirates Divide Gems [Intelligence Test Question]

Content: In the United States, it is said that people who can answer this question within 20 minutes have an average annual salary of more than 80,000 US dollars. This is a very interesting reasoning question.

Detailed introduction:

In the United States, it is said that people who can answer this question within 20 minutes have an average annual salary of more than 80,000 US dollars. This is a very interesting reasoning question. According to statistics, people in the United States who can answer this question within 20 minutes have an average annual salary of more than $80,000. Five pirates grabbed 100 gems, each of which was the same size and priceless. They decided to divide it like this: 1. Draw lots to decide your own number (1, 2, 3, 4, 5) 2. First, No. 1 proposes a distribution plan, and then 5 people vote. If and only if half or more than half of the people agree, the distribution will be carried out according to his proposal, otherwise it will be thrown into the sea to feed the sharks. 3.

If No. 1 dies, No. 2 will propose a distribution plan, and then the four of us will vote. If and only if half or more than half of the people agree, the distribution will be carried out according to his proposal, otherwise it will be thrown into the sea to feed the sharks. 4. And so on... Conditions: Every pirate is a very smart person who can rationally judge the gains and losses and make choices. Question: What distribution plan does the first pirate propose to maximize his profits?

Count the number of coincidences of the pointers

Introduction: (5 minutes-15 minutes)

Detailed introduction:

In 24 hours a day Among them, how many times did the hour, minute and second hands of the clock completely overlap? What time are they? How did you figure that out?

Time problem

Introduction: (I thought about this question for an hour)

Detailed introduction:

It doesn’t matter if you burn one For a uniform rope, it will take an hour to burn from start to finish. Now there are several ropes made of the same material. How can we use the rope-burning method to time one hour and fifteen minutes?

The problem of crossing the bridge

Introduction: None

Detailed introduction:

In the dark night, four travelers came to a narrow And there is no guardrail on the bridge side. No one would dare to cross the bridge without the help of a flashlight. Unfortunately, the four people each brought only one flashlight, and the bridge was only narrow enough for two people to cross at the same time. If they cross the bridge alone, the time required for the four people is 1, 2, 5, and 8 minutes respectively; and if two people cross the bridge at the same time, the time required is the time required for the slower person to walk alone. time. The question is, how to design a plan to allow these four people to cross the bridge as quickly as possible.