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Who has an intelligence test question bank commonly used in interviews? Please give it to me.

A. Logical reasoning

1, you let the workers work for you for 7 days, and the workers' remuneration is a gold bar. The gold bar is divided into seven connected parts.

At the end of each day, you must give them a gold bar. If you are only allowed to break the gold bar twice, how can I give it to you?

Workers' wages?

Please cut a box of cake into 8 parts and give it to 8 people, but there must be another part in the cake box.

Xiao Ming's family crossed a bridge, and it was dark when crossing it, so there must be a light. Now it takes 1 second for Xiaoming to cross the bridge.

Xiao Ming's brother needs 3 seconds, Xiao Ming's father needs 6 seconds, Xiao Ming's mother needs 8 seconds, and Xiao Ming's grandfather needs 12 seconds. each

This bridge can be crossed by two people at most. The speed of crossing the bridge depends on the slowest one. After 30 seconds, the light will be on.

Put out. Q: How did Xiao Ming's family cross the bridge?

4. A group of people have a dance, each wearing a hat. There are at least two kinds of hats, black and white.

There is one. Everyone can see the color of other people's hats, but not their own. The host will show you first.

Look at what hats others are wearing, and then turn off the lights. If someone thinks he is wearing a black hat, call himself.

Got a slap. The first time I turned off the lights, there was no sound. Then turn on the light and watch it again. The light is off, and it's still a crow.

The birds are silent. I didn't get a slap in the face until I turned off the light for the third time. How many people are wearing black hats?

Please estimate the quality of Canadian National TV Tower.

6. There is a diamond at the elevator door on each floor from the first floor to the tenth floor. Diamonds come in different sizes. When you take the elevator from the first floor to the tenth floor, the elevator doors on each floor will open once, and you can only bring diamonds once. How can I get the biggest one?

7. The 7.U2 Chorus must arrive at the concert venue within 17 minutes. On the way, it must pass a bridge. Four people started from the same end of the bridge. You must help them get to the other end. It was dark and they only had one flashlight. At most two people cross the bridge at a time, and they must hold flashlights when crossing the bridge, so someone has to walk back and forth at both ends of the bridge with flashlights. You can't send out the flashlight if you throw it away. Four-person walk

The speed is different. If two people walk together, the slower speed shall prevail. It takes 1 minute for Bono to cross the bridge, 2 minutes for Archie, 5 minutes for Adam and 10 minute for Larry to cross the bridge. How do they cross the bridge in 17 minutes?

It takes an hour to burn an uneven rope. How to judge half an hour with it?

9. Why is the cover of the sewer round?

10. How many gas stations (cars) are there in the United States?

1 1, with a 7-gram and 2-gram weight and a balance. How to divide140g salt into 50g and 90g salt three times with these items?

12. One train leaves Los Angeles for new york at a speed of15km per hour, and another train leaves new york for Los Angeles at a speed of 20km per hour. If there is a bird that is driving two trains at a speed of 30 kilometers per hour, starting from Los Angeles, touching another train and returning, flying back and forth in turn until the two trains meet, how long does the bird fly?

13, you have two cans, 50 red marbles and 50 blue marbles. Choose a jar at random and put a marble in the jar at random. How can you give red marbles the best chance? What is the exact probability of getting the red ball in your plan?

14. Imagine you are in front of the mirror. Excuse me, why can the image in the mirror be upside down, but not upside down?

15, you have a can of pills for four people, each pill has a certain weight, and the contaminated pill is the unpolluted weight+1. You only weigh it once, so how do you know which jar is polluted?

16, if you have unlimited water, a 3-quart bucket and a 5-quart bucket, how can you accurately weigh 4 quarts of water?

17, you have a bucket of jelly, yellow, green and red. Close your eyes and choose two of the same color and grab two of the same color. How many can you catch to make sure you have two jellies of the same color?

18, insert the car key into the door, which direction can you turn to unlock the car?

19. If you could remove any of the 50 states, which one would you remove and why?

20. With all switches turned on, perform the following operations on a batch of lamps numbered 1~ 100.

For all multiples of 1, dial the multiple of switch 2 once in the opposite direction and the multiple of switch 3 once in the opposite direction.

Ask for the number of the light that was last turned off.

2 1, suppose a CD rotates like a turntable on a record player. This disc is half black and half white. Suppose you have an unlimited number of color sensors. How many color sensors do you need to place around the disk to determine the direction of rotation? Where should they be put?

22. Suppose the clock arrives at 12. Please note that the hour hand and minute hand overlap. How many times do the hour hand and minute hand overlap in a day? Do you know the exact time when they overlap?

23. Two odd numbers separated by a number are called odd pairs, such as 17 and 19. It is proved that the number between odd pairs is always divisible by 6 (assuming that both odd numbers are greater than 6). Now it is proved that there is no odd pair composed of three odd numbers.

24. A room has a door (the door is closed) and Three Lamps District. There are three switches outside the house, which are respectively connected with this Three Lamps District. You can manipulate these switches at will, but once you open the door, you can't change the switches. Determine which light each switch controls.

Suppose you have eight balls, one of which is slightly heavier, but the only way to find this ball is to compare the two balls on the balance. How many times do I have to weigh it before I can find this heavier ball?

26. Let's play a word-splitting game. All the letters are out of order. You have to judge what this word is. Suppose this disassembled word consists of five letters:

1. How many possible combinations are there?

2. What if we know which five letters it is?

3. Find a way to solve this problem.

27. Four women want to cross the bridge. They all stand on one side of the bridge. Let them cross the bridge in 17 minutes. It's night. They only have one flashlight. Up to two people can cross the bridge at the same time. Whoever crosses the bridge, whether one or two people, must bring a flashlight. Flashlights must be passed around, not thrown over. Every woman crosses the bridge at a different speed. Two people must cross the bridge at a slower speed.

The first woman: it takes 1 minute to cross the bridge;

The second woman: it takes 2 minutes to cross the bridge;

The third woman: it takes 5 minutes to cross the bridge;

Fourth woman: It takes 10 minutes to cross the bridge.

For example, if the first woman and the fourth woman cross the bridge first, by the time they cross the bridge, 10 minutes have passed. If the fourth woman sends the flashlight back, it will take 20 minutes for her to reach the other end of the bridge, and the action will fail. How to get these four women to cross the bridge in 17 minutes? What other methods are there?

28. If you have two buckets, one is full of red paint and the other is full of blue paint. You scoop a cup from the blue paint bucket and pour it into the red paint bucket, then scoop a cup from the red paint bucket and pour it into the blue paint bucket. Which is the higher proportion of two barrels of red and blue pigments? Prove this by arithmetic.

Crazy calculation

29. Given two numbers between 1 and 30, A knows the sum of these two numbers and B knows the product of these two numbers.

A asks B, "Do you know which two numbers are?" B said, "I don't know";

B asks A, "Do you know which two numbers are?" A said "I don't know";

So, B said, "Then I know";

Then a also said, "then I know";

What are these two numbers?

30, 4, 4, 10, 10, addition, subtraction, multiplication and division, how to calculate 24 points?

3 1、 1000! How many? Why?

32、F(n)= 1n & gt； 8n & lt； 12

f(n)= 2n & lt； 2

F(n)=3 n=6

F(n)= 4n = other

Use+-*/and sign(n) functions to combine the F(n) function.

sign(n)=0 n=0

sign(n)=- 1n & lt； 0

sign(n)= 1n & gt； 0

Write a program to find the sum of prime numbers, such as f (7) =1+3+5+7+113+17 = 58.

34、。 .。

Please use only one stroke and four straight lines to connect all the points in Figure 9.

35. How many kinds of three-level and four-level binary trees are there?

36, 1- 100000 series are arranged in a certain order, and one number is wrong. How to correct it? Write the best method. What about two numbers?

Reference answer:

1, day 1 to 1,

On the second day, workers were required to return the 1 segment to the second segment.

On the third day, the 1 segment is given.

Day4 returned to 1 2 segment and gave 4 segments.

Day 5 and so on ...

2. In the face of such strange questions, some candidates are inseparable from their brains; Some candidates believe that

This question is actually very simple. Take out seven of the eight cakes and give them to seven people, and the remaining 1 cakes will be shared with the cake box.

To the eighth person.

If only one person wears a black hat, he will see everyone wearing a white hat, when the lights are turned off for the first time.

You have to slap yourself, so that more than one person will wear a black hat; If there are two black hats, the first time they both have only one.

Seeing the black hat on each other's head, they are not sure of their own color, but when they turn off the lights for the second time, they should understand.

If you wore a white hat, the other person should have slapped you last time, so you wore a black hat.

Then there will be a slap in the face; But the fact is, there was a slap in the face for the third time, indicating that there were more than two black people in the audience.

Hats, etc., should be closed several times, and some black hats.

5. For example, how to quickly estimate the height of the bracket and column, the radius of the ball, and calculate the volume of each part?

Wait a minute. The recruiter said: "As far as CNTOWER is concerned, it is still different from ordinary riddles or puzzles.

Yes We call this' quick estimation problem', and the main test is the ability of quick estimation, that is, developing software.

One of the necessary abilities. Of course, the topic is only a means, not an end. Of course, we must get a final result.

Yes, but it is more important to examine the process and method of candidates getting this result. "Mr Miller for the record.

The author illustrates a more reasonable answer with an example. He first drew a sketch of the CN tower on paper, and then quickly

Quickly estimate the height of the bracket and each column, as well as the radius of the ball, calculate the volume of each part, and then transport it with the density of each part.

Calculate and finally add up to get a result.

There are actually many topics in this category, such as: "Estimating the water quality of the Mississippi River." "If you

Is the governor of Tennessee. Please estimate how long it will take to control the pollution of Cumberland River. "

"Estimate the quality of rain that a person encounters after traveling in a light rain for five minutes."

Mr. Miller went on to explain: "Questions like this, including some reasoning questions, are all tested by people.

ProblemSolving is not a question for which you only remember the answer. "

For the purpose of company recruitment, Mr. Miller emphasized four points, which are common precautions for creative companies.

Paying attention to the quality of employees is the quality and ability that all people who want to realize their career dreams in well-known enterprises should have.

Requirement 1: RawSmart (pure wisdom), which has nothing to do with knowledge.

Requirement 2: Long-term potential (long-term learning ability).

Requirement 3: Technical skills.

Requirement 4: professionalism sm (professional attitude).

6. Her answer is: choose the first five floors, not. Observe the diamond size of each layer and pay attention to them.

. Then choose the last five layers, and choose the diamond whose size is close to the largest diamond that has appeared in the first five layers. She still is.

I don't know the exact answer to this question. "Maybe there is no exact answer, just a test of your thinking," she said.

Go ahead.

7. Analysis: A Cornell student wrote an article saying that he encountered this problem during an interview at Microsoft.

Minimum crossing time 19 minutes.

8. Burn both sides together.

9. One of the answers: The answer I heard from a computer science professor at MIT was first in the same place.

He has the largest area under such material conditions. Secondly, if it is square, rectangle or ellipse, it will be boring.

Just pick it up and throw it in the underpass! But the round cover can avoid this situation.

10, when this question seems confusing at first glance, you may have to ask how small this country is.

The interviewer may tell you this number from the beginning of the car, but he may also say, "I don't know, you tell me."

Me. "So, you said to yourself, the population of the United States is 275 million. You can guess that if the average family

The scale (including singles) is 2.5 people, and your computer will tell you that there are 1. 1 100 million families. Do you remember?

I heard somewhere that every family has 1.8 cars, so there will be about 65438+98 million cars in the United States.

Cars. Then you just need to figure out how many gas stations you need to serve 6.5438+98 million vehicles, and you can solve the problem.

It's over. What matters is not the number of gas stations, but the way you get this number.

12, the answer is easy to calculate:

Suppose the distance from Los Angeles to new york is S ..

The distance a bird flies is (s/( 15+20))*30.

13, don't answer, see if you have the courage to stick to your point of view.

14, because human eyes are symmetrical in the horizontal direction.

15. Take out one from the first box, two from the second box and three from the third box.

And so on, according to its total.

16, more complicated:

First, fill a 3-quart bucket and pour in 5 quarts. Hereinafter referred to as 3->5)

Mark b 1 in the 5-quart barrel.

B, continue to fill 5 blanks with 3, and pour 5 pieces of water into 3 until b 1 is marked b2 in 3.

C, continue to fill 3 vacancies with 5, and pour 3 waters into 5 until b2.

D, empty 3. Pour the water from 5 into 3, labeled b3.

E, fill 5 empty 3, pour 5 water into 3 until 3 water reaches b3.

It's over. Now the water in 5 is standard 4 quarts dehydrated.

20. The prime numbers are off, and the rest are on.

29. When two numbers are allowed to be repeated.

The answer is x= 1, y = 4；; A knows the sum A=x+y=5, and B knows the product B=x*y=4.

There are two answers when two numbers are not allowed to be repeated.

Answer 1: x= 1, y = 6；; A knows the sum A=x+y=7, and B knows the product B=x*y=6.

Answer 2: x= 1, y = 8；; A knows the sum A=x+y=9, and B knows the product B=x*y=8.

Solution:

Let these two numbers be x and y.

A knows the sum of two numbers a = x+y;

B knows the product of two numbers b = x * y；;

This problem is divided into two situations:

Allow repetition, and use (1

Duplicates are not allowed. Use (1

When repetition is not allowed, that is, (1

1) The condition is that B doesn't know the answer.

& lt= & gtB=x*y solution is not unique.

= & gtB=x*y is a non-prime number.

Once again ∵ x ≠ y

∴ B ≠ k*k (where k∈N)

Conclusion (inference 1):

B=x*y is not a prime number and B ≠ k*k (where k∈N).

Namely: b ∈ (6,8, 10, 12, 14, 15, 18, 20 ...)

The proof process is simple.

2) Set the condition by the question: A doesn't know the answer.

& lt= & gtA=x+y solution is not unique.

= & gtA & gt= 5;

There are two situations:

When A=5 and A=6, X and Y have double solutions.

A> When =7, X and Y have triple or more solutions.

Suppose A=x+y=5.

There is a dual solution.

x 1= 1，y 1 = 4；

x2=2，y2=3

Substitute into the formula B=x*y:

b 1 = x 1 * y 1 = 1 * 4 = 4； (Deduct 1 Not satisfied, discarded)

B2 = x2 * y2 = 2 * 3 = 6；

Get the unique solution x=2, y=3, that is, A knows the answer.

Contradictory with the condition: "A doesn't know the answer",

So the assumption is not true, A=x+y≠5.

Suppose A=x+y=6.

There is a dual solution.

x 1= 1，y 1 = 5；

x2=2，y2=4

Substitute into the formula B=x*y:

b 1 = x 1 * y 1 = 1 * 5 = 5； (Deduct 1 Not satisfied, discarded)

B2 = x2 * y2 = 2 * 4 = 8；

The unique solution of x=2 and y=4 is obtained.

That is, A knows the answer.

Contradicting the condition: "A doesn't know the answer"

So the assumption is not true, A=x+y≠6.

When A & gt=7 o'clock

At least two solutions of x and y satisfy the inference 1.

b 1 = x 1 * y 1 = 2 *(A-2)

B2=x2*y2=3*(A-3)

match condition

Conclusion (Inference 2): A > = 7

3) Set the conditions by the topic: B said, "Then I know."

=>B can get a unique solution by knowing the condition B=x*y and inference (1)(2).

Namely:

A=x+y，A & gt= 7

B=x*y，B ∈(6，8， 10， 12， 14， 15， 16， 18，20...)

1 & lt； = x & lty & lt= 30

X and y have unique solutions.

When B=6, there are two groups of solutions.

x 1= 1，y 1=6

x2=2，y2 = 3(∵x2+y2 = 2+3 = 5 & lt； 7∴ irrelevant, give up)

The unique solutions x= 1 and y=6 are obtained.

When B=8, there are two groups of solutions.

x 1= 1，y 1=8

x2=2，y2 = 4(∵x2+y2 = 2+4 = 6 & lt； 7∴ irrelevant, give up)

The unique solutions x= 1 and y=8 are obtained.

When b > 8 o'clock: it is easy to prove that they are all multiple solutions.

Conclusion:

When B=6, there is a unique solution x= 1, y=6. When B=8, there is a unique solution x= 1, y=8.

4) Set the conditions by the topic: A said, "Then I know."

=>A knows that A=x+y and inference (3) can get a unique solution.

To sum up, there are two solutions to the original problem:

x 1= 1，y 1=6

x2= 1，y2=8

When x

In the same way, the unique solution x= 1 and y=4 can be obtained.

3 1, solution: 1000

Lg( 1000！ )=sum(Lg(n))

n= 1

By replacing the curve with three broken lines, you can get

10(0+ 1)/2+90( 1+2)/2+900(2+3)/2=2390

As an approximate result, it seems that 1500~3000 is correct.