Google product manager campus recruit topic summary

1, problem: a school bus can hold much golf next?

Read KWIC "school bus" "hold," "golf", the question "how many." What is the use of school buses, dedicated to carrying students inside the school educators. What golf Yes. A sports equipment. Or a commodity (not to consumers). In short one kind of goods. We have a common sense, can only truck shipments, while passenger cars and the like can not be used for shipping the goods, or violation of traffic laws. So, we can easily see the. In fact, he is not the subject of our judgment test volume. But whether we understand the relevant knowledge. Product Manager position is that we not only take into account technical feasibility, but also consider the relevant laws and regulations, people can not stand. Do the products developed very well, but can not be marketed or not consumers.

So the answer is a can not be installed. Because school bus carrying students and educators to use. It can not be used to hold the goods.

Suppose bus capacity = 3 × 4 × 25 = 300 cubic meters, a golf radius of about 10 cm, because there is a gap after loading, in accordance with the count cubic volume of about 0.008 cubic meters, so that vehicles can accommodate correction 300 / 0.008 = 37500 golf.

2. Question: If you had to clean all the windows in Seattle, how much it will give you the asking price?

While the corresponding interior cleaning contract requirements

It depends on how much the person is willing to reflect a way of thinking:! Standing on the perspective of others to think about a problem entire area of ​​Seattle, to $ 10 per square price charged 100 million, it scare so far. If he can afford, I use 10 billion to hire someone I've never been to Seattle, I do not know how many windows. Give me my travel expenses reimbursed less money I received

3, problem: in a patriarchal country where every household wants a boy. If a family gave birth to a girl, they will have another, up until the birth of a boy. Will the proportion of men and women in this country is how much?

This situation is no doubt China's national conditions very similar to reality, taking into account the uniqueness of the subject and limit features, although the ratio is 1.06: 1. Excluding the impact of other factors, the answer should be 1: 1 to continue this way gender discrimination fertility-based (mild discriminatory manner) does not lead to gender imbalance. However, the proportion of men and women in the age of easy imbalances. So you can imagine, it is proposed to increase the gap between men and women of marriageable age to help reduce social problems caused by the imbalance between men and women age.

4, issue: the world how many piano tuners are there?

1 / Piano tuning must be at the factory, piano factory and took part in three kinds of medium and small, large is probably the type of public, with an annual output of piano tuners lowest proportion of small workshops manufacturing tuning may craftsmen themselves division, according to the general rules of the number and the size of the piano factory in line with the normal distribution, can be roughly calculated how many piano tuners factory. 2 / you said that, full-time maintenance piano tuner, however, there is no possibility of a piano tuner works part-time na? So to investigate a piano factory while doing part-time tuner to tune the instrument in a region, this figure is deducted from the second case. 3 / is itself a piano enthusiasts, the possibility of such people tuner 4 / ,,,, Fortunately, many, many cases will not speak of myself

5, Q: manhole covers are round Why?

Side longer than the diagonal edge, covers will fall well.

6, problem: design an emergency evacuation plan for the city of San Francisco.

7, problem: hands of the clock will coincide with a day total of how many times?

23, an intermediate point on the line 24 has segments 23

8, Q: You have eight different size balls, including seven weight the same, only a little heavier. Give you a balance, and only allowed to say two, to find out how different weights of the ball?

The ball 332 is divided into three groups, 33 to take on a balance scale.
If the balance does not move, two weighing put that group 2, the ball weight is different.
If the balance is moved, taking the group that heavier fall, take any of three balls 2 on the scale, if that level is not on, if there is a severe drop, is that the.

9. Question: Explain to your 8-year-old nephew what is the nephew or database, with only three sentences.

Your database is loaded toy drawer, a drawer mounted a class of toys, this database thing as an intelligent toy box, all toys are on the inside is very neat, just call when the time which it will soon want to play from their own ran out of the box

10, Q: You reduced to only one-fifth of the coin is so high, your quality proportionately reduced to maintain unchanged the original density. You are then thrown into an empty glass blender, stir blade will start running in 60 seconds, how can you do? How much glass stirrer / blade does not move to seize

 

1. Problem: a school bus can hold the number of golf? Job: Product Manager

  A: Since it is a product manager, is to examine your relationship to the product and the market, so the school bus is not suitable for golf.

2. Question: If you had to clean all the windows in Seattle, how much it will give you the asking price? Job: Product Manager

  A: Since it is a product manager, is to look at your market values, the first is your job to give Seattle bring much value to measure the market value of their products, to less - loss, wild speculations - is simply unreasonable .

3. Question: In a patriarchal country where every household wants a boy. If a family gave birth to a girl, they will have another, up until the birth of a boy. Will the proportion of men and women in this country is how much? Job: Product Manager

  A: Obviously it should be a test of your ability to analyze market demand and product demand, not to specific figures, it should be a base to explore the market size of the problem.

4. Question: How many piano tuners are the world there? Job: Product Manager

  A: This question is like to let you stand on the sea, so you say there are few fish in the sea, you might say it? What scientists can not know ah, so this should be a test of your ability to market research analysis, find that a thought, a method, the interviewer will focus on the process not the result of heavy

5. Question: Why are manhole covers round? Position: Software Engineer

  A: The problem is clearly logical, because the well is round, so you have to have for supporting the dome friends.

6. Problem: Design an emergency evacuation plan for the city of San Francisco. Job: Product Manager

  A: This is a very practical question it, the so-called program should be specific measures, method, except that you are organized and orderly with illustrations and text to show it. Mainly on the question of whether you consider specific and comprehensive, as it relates to whether the company will bring higher profits, will reduce the risk of life, often high-profit, low risk approach will be adopted

7. Question: hands of the clock will coincide with a day total of how many times? Job: Product Manager

  A: This question, do not be fooled by the title, because the problem is not necessarily correct and reasonable, obviously this issue is very ambiguous. The same work supervisor program proposal may not be correct, may not be the best, mainly to first consider whether you really need, whether it is reasonable, then go to perform tasks and solving program.

8. Question: Interpretation of "dead beef" of significance. Position: Software Engineer

  A: First is its interpretation before you can say other main entry point is to look at your analysis of what is reasonable. .

9. Problem: A man drove up to the hotel, get nothing. What really happened? Position: Software Engineer

  A: completely free to play, mainly to see the logic of your thinking and problem solving analysis, logical thinking as long as is possible. . Because software engineers have a good logical thinking to do.

10. Question: Do you want to know if your friend Bob has the correct phone number, but not directly ask him. You have to leave a message on the card, the card will allow Eve compared to Bob. In addition to the question, what should you write on the card, in order to ensure that both Bob can read the message, and so Eve can not see your phone number written on the card. Position: Software Engineer

  A: It depends on the problem obviously is for software engineers know the problem, this problem can be taken to have a lot, as long as required to achieve the purpose, which is to see the degree of efficiency and agility you deal with the problem. . Both efficient and clever is the best. . Programmers also have to work

 

1. How many golf balls can fit in a school bus?

Answer : Reasoning about 500,000, assuming the bus high 50 golf balls, golf 50 wide, 200 long golf.

2 .. If you clean all the windows to let the whole Seattle, you will be how much to charge?

Answer : Seattle reasoning process if there are 10,000 buildings, each building has 600 windows, wiping a window 5 minutes, fee is $ 20 an hour, you can earn a total of $ 10 million.

3. In a country where patriarchal, male-female ratio would it be?

A 1 : 1: 1/50%

Answer 2 : Either Mr. male or female President, as a rough estimate, there are two per student then seen as a man and a woman (the reality is impossible), namely: Mr. male then do not regenerate, if born woman, then you will give birth to a male, he was recognized as the only two cases, and the probability is one to one, that two men and a woman, so the ratio is two to one.

4. How many of the world piano tuners?

Answer 1 : a woman two, a man of

Answer 2 : speaking to a customer, because of the work done as well, so all can be outsourced out

Answer 3 : This question needs to know that the US population and general economic conditions, in order to estimate. A total of 300 million US population, according to a family of three, the United States a total of 100 million households, that is, if half of the 50 million households belong to affluent families, with piano proportion of 10% this ratio may be a bit high, but the estimated approximate ratio when are allowed. So there are five million households own a piano, so the United States there are 5 million piano. Assuming that each piano tuning once a year, a tuner tuning the year 1000 sorties, then the United States the number of tuners is 5000000/1000 = 5000. The world's population of about 60 million is 20 times the United States, but the tuner is certainly less than 20 times the United States, because of the different levels of affluence and cultural level. But do generally estimated that the number of tuners United States accounts for about a quarter of the world, the world of tuner should have 2 million people.

5. manhole cover on the road, there is definitely something hold him at the edge of the covers, the covers will not fall, and this edge is very small. So manhole covers are round, then, is equal to the radius, if for some reason playing covers Since then its side longer than the diameter of the edge, so that the covers will not fall., while there is always an inner diameter of other shapes is the longest, such as rectangular, it is longer than the diagonal side length of the rectangle is made if the covers, it is most likely to fall from a diagonal angle. So always make manhole covers round. Later, it covers the whole world round.

7. If you see the clock time is 3:15, angle between the hour and minute hands is how much? (Certainly not zero!)

Answer : 7.5


8. The significance of "dead beef" lies.

Insight: For a software engineer, is to try to avoid the "dead beef" in the software. It is not only not good for the software itself, but also bring destruction to the entire software. Death can not eat beef, not only will lead to many pests like flies warehouse.

Other topics answers

How would you find out the computer's memory stack grows up or down overflow?

A : You can only grows up

To your eight-year-old nephew to explain what a database, complete with three sentences.

Answer 1 : The database just as piggy bank

Answer 2 : is your bag, there are your favorite: Gold Saint Seiya, small toys; there you do not like: papers ah, what parents signed ah. . . . Anyway, there are all sorts of things, but most likely not what you put in, but you have to pay attention to clean up.

Hands of the clock will overlap several times a day?

A : If there is no second hand and the minute hand is not the kind of one minute progressive watches, you can overlap multiple times (22 times now), if it is progressive by the minute or second hand, it would coincide twice. Also, consider the level of pitch and watchmakers gear. Therefore, from a micro perspective, two or three needles it is difficult to coincide the needle. . . . . . .

You need to go from A to B, but you do not know can not to, then how to do?

A : The current level of science, as long as the A to B to obtain the names and call on all the land surface of the earth, can come to.

Like you have a closet stuffed with a variety of shirts, how would you organize these shirts, so after you easier to find a shirt time?

A 1 : Priority colors, styles secondly, again recency

Answer 2 : according to season, occasion and Sex

There is a village of 100 couples, each husband cheated on his wife. Wives are unable to see through the lies of her husband, but they managed to know whether any of the other man was lying. Town law prohibit adultery, her husband is unfaithful wife once proof should kill him at once, all the women in town must strictly abide by the law. One day, the Queen declared the town, there is at least one husband has been unfaithful. This is how it happened?

Answer 1 : All men have been killed

Answer 2 : The King is killed (the queen also may be killed, so as to ensure that the secret will not disclose)

If within 30 minutes on the highway to a car opened probability is 0.95, then saw a car in 10 minutes opened as likely (assumed to be under constant probability condition) how much

A. 1 : l- (. 1-x) (. 1-x) (. 1-x) = 0.95, will be able to solve for x, hey

A 2 : 0.95

Answer 3 : * 0.25 = 12 degrees 3 degrees

Four people need to cross a rope bridge at night back to their camp. Unfortunately, they only have to insist on 17 minutes only a flashlight. Thebridge have a flashlight, rope bridge and you can only holding up the weight of two people. The four men are not the same speed over the rope bridge, rope bridge through the first 1 minute, the second two minutes, the third five minutes, the slowest to 10 minutes. How can they all walked the rope bridge in 17 minutes?

A 1 : 1 + 2 through the first, 1 (or 2) return, over 5 + 10, 2 (or 1) returns, through 1 + 2

Answer 2 : The slowest 10 minutes to play flashlight in the bridge, one minute and two minutes before had, had finished in 1 minute, 5 minutes and immediately on the bridge. He had finished in 2 minutes, 10 minutes with a flashlight on the bridge, a total of only took 12 minutes to get past all

A 3 : 1 and 2 minutes before the last 2 minutes to stay there, back 1 minute, using a 2 + 1 = 3 minutes; 5 minutes and 10 minutes in the past together, back to 2 minutes, for 3 + 10 + 2 = 15 minutes; and a final two minutes past together with the 15 + 2 = 17 minutes.

You and your friends to the party, including the two of you, including a total of 10 people were present. Your friends want you bet, say where each person has a birthday and you are the same, you give him $ 1 for every person birthday and you, he gets $ 2. Would you accept it?

Answer 1 : The subject seems to have traps, first of all, and he was definitely his birthday the same, so you have to give each other the beginning of 1 yuan. Then the remaining nine people inside, you need to have 4 different individuals and your birthday, you can get it back. The nine people while five people inside the same birthday and I think the probability you are relatively small, so for me to do, I will accept it!

Answer 2 : do not accept

You have the same size balls 8, wherein the weight 7 is the same, the other heavy. How can we say twice with balance only to find out that some of the heavy ball.

A 1 : First take six, while three on the balance, with the weight of the remaining two can be called; different weight, the weight of the three taken in to said two.

A 2 : 8 balls to press any number 2,3,3 divided into three groups: A, B, C. The B, C groups were placed at both ends of the balance, if both ends of the flat, i.e., equal mass, the balls just two group A were placed at both ends of the balance, an end of the downwardly inclined ball that is filled heavier; if inclined ends, one end of the downwardly inclined will hold three balls out, then from any three balls extracted two balls were placed at both ends balance. If both ends of the flat, so that the ball has not been drawn comparatively heavy; if inclined ends, the end of the downwardly inclined ball Sheng i.e. is relatively heavy;

Answer 3 : sub-called 3-3-2

5 pirates, according to a ranking from 5-1. The top pirate has the right to propose how 100 gold coins. But the others get to vote, if the majority of opposition, he would be killed. He should ask what kind of program, both for myself to get as much gold it will not be killed? (Hint: One pirate ends up with 98 percent of the gold)

A 1 : 98,0,1,0,1 first from the No. 5 Pirates began, because he is the most secure, no risk was dropped sea, so his strategy is also the most simple, that is the best person in front of all dead bare, then he can only get it one hundred gold coins. Then look at No. 4, his chances of survival depends entirely on the front there are people alive, because if the Viking 1 to No. 3 are all fed the sharks, then only in the case of No. 4 and No. 5, No. 4, of the matter What kind of allocation scheme, No. 5 will certainly vote to make 4 to feed the sharks to pocketed all the gold coins. Even No. 4 in order to protect life and please the No. 5 proposes (0,100) This program allows exclusive gold No. 5, No. 5 but also may feel dangerous to keep No. 4, and voted against and let it feed the sharks. No. 4 is therefore reason should not take such a risk, the survival hopes on randomly selected No. 5, No. 3 in order to support his only absolute guarantee of their own lives. Let's look at No. 3, he passed after the above logical reasoning, will propose (100,0,0) This allocation scheme, because he knows nothing even No. 4, still will support him unconditionally and to vote in favor, then coupled with their one vote can make sure to win him the 100 gold coins.

However, No. 2 has also been reasoning that the allocation No. 3, he would propose (98,0,1,1) program. Because this program with respect to the allocation scheme No. 3, No. 4 and No. 5 at least get a gold, rational Nos. 4 and 5 will naturally feel that this program more beneficial for them and support No. 2, does not want No. 2 out and to allocate the numbers 3. In this way, you can pidianpidian No. 2 took 98 gold coins.

Unfortunately, the No. 1 pirate more than fool, after some lapse of insight into the reasoning allocation scheme No. 2. He will take the strategy is to give up No. 2, and No. 31 to the gold coins, and to No. 4 or No. 52 gold coins, namely that (97,0,1,2,0) or (97,0,1, 0,2) allocation scheme. As the No. 1 distribution plan for the No. 3 and No. 4 or 5, the No. 2 program can be compared to get more benefits, then they will vote for No. 1, No. 1 plus 1 vote itself, 97 coins can easily fall into the pockets No. 1

Answer 2 : If it is me. . . I will propose to make lower level than my people continue to negotiate how to divide this method, so you can fall into a logical paradox. Just exactly as the rules, then I can not afford to die. . . . .

You are reduced to only the thickness of the coin so the high points (not compressed, scaled-down), and then thrown into an empty glass stirrer, the stirring blade starts to rotate after one minute. what would you do?

A : agitator should be voided, so hide the edge should not be hit. But glass stirrer four weeks may not be able to seize the attachment, the rotation caused by wind may blow you up. So try to come to the middle agitator shaft, trying to climb or catch.

Answer 2 : how to escape from the mixer? (1) to climb along the measurement scale;

(2) unscrew the glass stirrer;

Stream (3) by the rotation of "fly out".

You want to know if your friend Bob has the correct phone number.

A 1 : paper can be written: Mr. Bob; I'm sorry! Your phone number I'm a little fuzzy, please call to confirm.

A 2 : I would like to invite you to dinner at noon, agreed to give me a call, if you do not agree with, even if you called and told me there or be square.


You are in a 100-storey building, giving you two eggs. Sometimes the eggs are very fragile, sometimes abnormal tough. This means that if threw eggs, eggs in the first layer might be broken, and if it is dropped eggs, eggs from the 100th floor probably safe. This is exactly the same two eggs. You need to figure out, from which the highest floors dropped, eggs are not broken. The question is, how many times you need to throw eggs in order to calculate the floor. Throughout the process, you are only allowed to break two eggs.

Answer : 14 times. Let x of y can throw eggs test layer F, then F = f (x, y) . f (1,1) = 1, f (1,2) = 2 ...... ..f (1, n) = n. f (2,1) = 1, for the f (2,2), a first test, if an egg is not broken first, the test on the number of layers of the layer f (2,1), if the first eggs broken, the number of layers beneath the test layer is f (1,1), so that f (2, n) = 1 + f (1, n-1) + f (2, n-1). Thus f (2,1) = 1, f (2,2) = 3, f (2,3) = 6, f (2,4) = 10, f (2,5) = 15, f (2, 6) = 21. Release series: f (2, n) = n * (n + 1) / 2. The solution, n = 14.

A man drove up to the hotel, get nothing. What really happened?
Answer : dead prostitute in a motel arms.

 

 

 

Question: How many a school bus can hold golf?

In view of this question is to ask the product manager, is unlikely to test its "honesty" and "attitudes", so the interviewer does not want "do not know" answer. Because it is not the product manager, marketing manager, will not test the ability of the human brain teasers, does not want "school bus load number of how many will be able to hold golf." I think there might be a test site to estimate the ability of candidates to test how sensitive his first reaction to digital, because the same is estimated at almost totally unknown when planning to do the project, then the answer should be like this: Suppose school bus volume = 3 × 4 × 25 = 300 cubic meters, a golf radius of about 10 cm, because there is a gap after loading, in accordance with the count cubic volume of about 0.008 cubic meters, so that vehicles can accommodate correction 300 / 0.008 = 37500 Golf .

Question: If you had to clean all the windows in Seattle, how much it will give you the asking price?

This problem is likely to test the project manager is the face of the decision-making ability is unknown, given Google's bold, it may not be the answer: I do not do it, because the income and expenditure not directly proportional, my life there is no opportunity to clean all the windows. The answer may be Google's style, if I could invent a more rapid window cleaning tool, then I will provide an almost free cleaning work, so when I can not do without every window, I can start devoured the asking price .

 

Question: hands of the clock will coincide with a day total of how many times?

I remember elementary school math test before this question was asked is how many times the hour and minute hands overlap in a day, the answer is 23, because 24 is already next day. This question is when it coincides with a three-pin test every minute how many times a day, then how count it, the same answer. No need to consider the second hand, because the second hand only once every minute and the other two needle overlap, that is not necessary to consider the second hand, the answer is still 23 times.

 

Problem: A man drove up to the hotel, get nothing. What really happened?

Apparently to test the software engineer's imagination. American motels generally have a lot of prostitutes, prostitutes certainly not stupid enough to just sell the flesh, when a person is exposed when the original desire is that the most vulnerable time, but how to do nothing. Who can steal credit cards, car keys can be stolen, hand ring can steal your mouth, then his wife called and family can also be taken away ...... but the blood of the family and company how to lose You also need to think about, certainly more than one prostitute. Perhaps a little fanciful, a man came to the motel, his family seat and the seat of the company was an earthquake, all dead, and met a prostitute.

 

Question: You are the captain of a pirate ship, your crew to decide how to split the vote bullion. If agree with you less than half the number of crew members, you will be killed. How do you propose should be allocated bullion can not only share more stolen goods, but also to survive?

Tears ran, why foreigners are so pure, primary school we have done such a question, that question I'll never forget: a landlord for farm laborers harvesting seven days, a daily reward gold bars, seven gold bars together, only breaking twice daily completion She neither account nor debts, how to pay the bill? The answer is: a first breaking "a", and then breaking off a "two" left a "four." On day 1, pay "a"; 2 days, collect "two" for "a" back; day 3, pay "a"; 4 days, pay "four" exchange "a", "two" ; day 5, pay "a"; 6 days, collect "two" exchange "a"; 7 days, pay "a." Google's This question is a variant of junior high school math problems.

This problem can simplify understanding, suppose you have five pirates, grabbed one hundred precious stones, to be allocated, as others are not satisfied will be sent to feed the fish. From the top (so that it is 1) Pirate proposed distribution plan, then five people vote, if and only if more than half of the people agree that it is distributed according to Proposition 1, otherwise, he will be thrown into the sea to feed sharks.

According to the meaning of problems, with the following analysis: As the five pirates are very sensible people, so we must first Viking 1 "save his life" to be able to maximize their own interests, which is both the prerequisite to solve this problem It is also a constraint. Therefore, in accordance with the meaning of the questions, he must win at least two pirate support to the proposal satisfies this condition in the remaining four pirates, but the pirates apparently rational No. 1 only win the support of two pirates enough. 2 is obtained wherein the support pirates, two conditions must be met: a, the same amount of the two gem assigned to pirate. b, the number of stones in the hands of pirates these two should not be less than (or even more than) the number of pirates in the hands of No. 1 gem. Jewels set up No. 1 in the hands of pirates is X, the number of pirates in the hands of two Viking stones are for a Y, there are clear meaning of the questions, the number of No. 1 pirate pirates in the hands of two gems do not need to strive for completely zero (because with his own, a total of three people support the distribution plan, its goal has been achieved). Thus, the problem is converted into mathematical language to describe, it is: at the X≤Y, seeking to satisfy the relationship X + 2Y = X when the maximum value of 100. Methods for solving linear programming, the optimal solution can be obtained as X = 32, Y = 34. Therefore, in order to maximize their own interests under the given constraints, Viking 1 allocation scheme proposed should be: (32,34,34,0,0).

 

Question: You are a 100-storey building, giving you two eggs. Sometimes the eggs are very fragile, sometimes abnormal tough. This means that if threw eggs, eggs in the first layer might be broken, and if it is dropped eggs, eggs from the 100th floor probably safe. This is exactly the same two eggs. You need to figure out, from which the highest floors dropped, eggs are not broken. The question is, how many times you need to throw eggs in order to calculate the floor. Throughout the process, you are only allowed to break two eggs.

Whoever is able to know the result of such a mental arithmetic problem, and that only certain people often do this question, 14 times. Let x of y can throw eggs test layer F, then F = f (x, y). f (1,1) = 1, f (1,2) = 2 ...... ..f (1, n) = n. f (2,1) = 1, for the f (2,2), a first test, if an egg is not broken first, the test on the number of layers of the layer f (2,1), if the first eggs broken, the number of layers beneath the test layer is f (1,1), so that f (2, n) = 1 + f (1, n-1) + f (2, n-1). Thus f (2,1) = 1, f (2,2) = 3, f (2,3) = 6, f (2,4) = 10, f (2,5) = 15, f (2, 6) = 21. Release series: f (2, n) = n * (n + 1) / 2. The solution, n = 14.

 

Question: Have you reduced to only one-fifth of the coin is so high, your quality proportionately reduced to maintain unchanged the original density. You are then thrown into an empty glass blender, stir blade will start running in 60 seconds, how can you do?

If you reduce the size of a coin, when the blade is no longer sharp for me. To escape death you may only need to climb on top. As we have seen large cement mixer used in the construction site inside the blade, for humans if it is not standing still pose a threat. Moreover, as far as possible to stabilize himself in the middle of the container, if not thrown by centrifugal force to, stirring blades will not be torn. But I do not think they can survive in this state, so I chose to commit suicide.

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