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1. A mobile phone manufacturer is due to design mistakes, it is possible to cause the battery life than the original design of the original design (not a charge time), the solution is free to replace the battery or purchase 50 yuan to purchase the manufacturer's new mobile phone. Please write a letter to all purchased users to tell the solution.
2. (China Examination Area) A senior leader is visiting a museum, to the museum librarian Xiao Wang as a commemoration. According to national regulations, no one must change the museum collection into private, and how to write a letter to this leader in how the museum is required to return the city brick.
3. Miss salesperson (China test area) Since the work error, Miss 20,000 yuan will be sold to Mr. Li. How do Miss Wang's manager write to Mr. Li trying to return money?
4, how many cars are there in the United States?
5. Insert the car key into the door, rotate from which direction can be opened?
6, 1000! There are several digits, why?
7. Component to a program, for example, F7 = 1 3 5 7 11 13 17 = 58.
8. Get a non-uniform rope requires an hour, how to use it to judge half an hour?
9. The U2-choir has to go to the concert in 17 minutes. On the way, you must cross a bridge. The four people start from the same end of the bridge. You have to help them reach the other end, the sky is very dark, and they only have one flashlight. At the same time, you can have two people with the bridge together, while the bridge must hold a flashlight, so someone has to bring the flashlight to bring back the bridge. Note: The flashlight is not passed by the way. Four people's walking speed is different. If the two goes, the speed is subject to the slower. Bono takes 1 minute to pass the bridge; EDGE needs to spend 2 minutes; Adam takes 5 minutes to pass the bridge; Larry takes 10 minutes to cross the bridge. Excuse me: How do they cross the bridge within 17 minutes? (Answer within five minutes)
10.10 red balls, 10 white balls, two identical packages, how to place it to make one ball from a bag is the highest? how many?
11.1-100,000, in order to arrange, there is a digital quote, how to correct? Write the best way. If it is two numbers error?
12. Give you two 8, two 3, only use the addition and subtraction and adjustment and brackets, how to get 24?
13. A class has a m-class classmate, asking M, how much there is a probability of two people on the same day of the birthday is 0.6. Establish a mathematical model and answer (15 points) [This model applies to those in communication?]
14. In order to solve the problem of students' bathing, the school has built a bathhouse, the number of faucets is m, opening K hours every day, if the number of students is N, every student takes a bath every week, each time you have to reach the bathroom Evenly distributed, ask if M is how much Make a bath waiting time no more than 10 minutes. Establish a mathematical model and answer (30 points) [This model applies to those conditions in communication?]
15. What do you do if you have money?
16. What is your best friend, how long have you know, what is your evaluation of her (he)? 17 .. . . . . . . . . Please use only one drawn four straight lines, all points above Figure 9. 18. The following operations are performed on a batch of 1 to 100 switch towards up (open): Any double counter direction dials a switch; 2 multiples in the opposite direction, turn off the switch; 3 multiples anti-direction One switch. . . . . . Q: The last is the number of the lamp that is turned off? 19. Every elevator door of the first floor to the 10th floor is placed in a diamond, and the diamond size is different. You take the elevator from the first floor to the 10th floor, every floor, the elevator door will open once, can only take a diamond, ask how to get the biggest one?
20. There are 7 grams, 2 grams of weight, one of the balances, how to use these items three times to divide 140 grams of salt into 50,90 grams?
21. There are two rooms, there are three lamps in a room, and the other room has a switch to control the three lamps (these two rooms are divided, there is no connection). Now you have to enter these two rooms once, and then determine which switch control is controlled by this three, can you come up? (Note: You can only enter each room)
22. There is an unlimited water, ask how to quite 4 gallons of water in 5 gallons and 3 gallons of water, take at least two answers within 5 minutes?
23. A famous news host in the TV station will leave the news show he hosted, seek better development, before he holds the last show, he will support him to support him two years. Say farewell words, you will write a short and creative bid word for him.
24. Reporters A and B, agreeing to interview a well-known person alone, time for 1:00 pm, 1:30, to 2 o'clock, reporter B waited until 1:35, did not see the reporter A end interview, reporter B in 2 There is also a new interview task. Suppose you are a reporter B, which you will convince the reporter a in what way, let him end this interview?
25. The following procedures in the 25.0 environment, the results are please input: scanf: floating point formats not linked Abnormal Program Termination Try resolution! #Include "stdio.h" #include "stdlib.h" main () {float * a; a = (float *) malloc (10 * sizeof (float)); Printf ("please input:"); scanf ("% f", & a [0]); / * & a [0] is not * / PRINTF ("What You Have Input IS% F", * A); Getch (); Free (a);}
26. You let the worker working for you for seven days, and the return is a gold bar. This gold is divided into 7 segments, you must give them a gold bars at the end of each day, if you can break the gold bars twice, if you pay for your workers?
27. There is a train to leave Los Angeles straight to New York at a speed per hour, and another train is from New York to Los Angeles at the speed of 20 kilometers from Times. If there is a bird, 30 kilometers per hour and the two trains are currently started, and after returning to the Qiqiu, it returns to the other car. In turn, the two trains come back and fly, only the train meets two trains, I would like to ask How long is this small bird happened?
28. Imagine that you are in front of the mirror, please ask, why do images in the mirror can be reversed, but can't you reverse it? 29. You have four tips of the pills. Each pill has a certain weight. The contaminated pill is not contaminated with weight 1. Only weigh once, how to determine which can the medicine is contaminated?
30. You have a bucket of jelly, including yellow, green, red, close to the eyes to select two of the same color, grabbing two colors. How many can you determine if you have two simultaneous jelly?
31. In the United States, if you want you to get any one of 50 states, which one you remove, why?
32.f (n) = 1 n> 8 n <12 f (n) = 2 n <2 f (n) = 3 n = 6 f (n) = 4 n = Other use - * / and SIGN (N ) Function combination F (N) function SIGN (N) = 0 n = 0 SiGN (N) = - 1 n <0 SIGN (N) = 1 n> 0
33. Find a mathematical formula for the day of the week? For example, February 7, 2030 is the day of the week?
34. (Asked in the China Academy) Try to estimate the volume of the Oriental Pearl Tower?
35.13x * x 1 = Y * Y (x, y is positive integer), solve X and Y?
36.15 California's students and 15 Massachusetts students took a boat together, and suddenly storms in the sea. In order to save the vessel, the captain decided to drop the sea, so there must be 15 students to be thrown into the sea. For the sake of fairness, he made arrangements, requiring 30 students to arrange a circle, then starting points, when you point to 13th person, you will exit the circle until 15 unfortunate guys have throws up. If you are a student of California, in order to save your classmates and yourself, how should you arrange this 30 people, enabling each time the 13th place is not an exception of MIT student? Please do not allow any paper and pen within 10 minutes, and any tool, you can solve the answer.
37. A countermeasure question. The answering question must guess a number selected by the questions from 1 to 100, the questioner wants to tell the question, the number guess the number is small, until the guess, ask for the least numerous number of people in 7 times. Please tell you what mathematics principle is included?
38. You are an engineer who likes to innovate, and your company's high-level management team, bureaucrats, you think of me, but in the face of the boss, no measures, please ask you how to play yourself without leaving the company Performance?
39. Bill said in the board of directors: "The gentleman, according to the actual benefits of highway operations, the dividend we have to pay is 6% of the total shares, but $ 4,000,000 priority stocks must pay 7.5% dividend. So we only pay 5% of dividends for ordinary stocks. "Try: What is the value of ordinary stocks?"
40.a and b, with the same money, intend to use the Lord Lord of Rosslin in the horse, which is to pay bets in the most horses, and the gambling gold is equal to the game. Horse's odds of $ 1. A Put the bet on the inferior horse, gambling it will win the first, and B think it can get the second, so they have diverse different bets according to different odds, although the two bets add together, Hua went to half of the gambling gold in them. As a result, they actually won. After winning the money, the money on A is 2 times B. Pay attention to the bet, must be under the whole US dollar (not there is a few points such as a few points, can you guess how much they have won? Please give an answer within 10 minutes. 41. Why is the cover of the underwater pipeline, rather than square or other shape?
42. Cut a box of cakes into 8 copies, give 8 people, but there must be one in the cake box, how to divide? 43. Logic Title: Prerequisites: There are 5 houses that are different from all houses. All the house owners come from different countries. All the house owners have different pets; drink different drinks; draw different cigarettes tips : British live in red house Sweden to raise a dog Danish drink tea green house on the left green house of the house on white house owner drink coffee Pall Mall Cigarette Roof bird yellow housing Sauce Dunhill is located The most intermediate house owner drinks milk Norwegians live in the first house. Blend lived in the next door of the cat. The owner of the hippic hippo hipster in the next door of Dunhill. Prince Norwegian lives in a blue house, only drinking water next door, lives in the next wall of smoke Blend: Who is fish?
44. (China test area) Logic topic: 5 people come from different places, live in different houses, nourish different animals, suck different brands, drink different drinks, like different foods. Determining who is the owner of cat under the following clues? 1. Red house on the right side of the blue house, the left side of the white house (not necessarily next) 2. The owner of the yellow house comes from Hong Kong, and his house is not on the left. 3. Man loves to eat pizza lives next door to people in love drinking mineral water. 4. People from Beijing love to drink Maotai, live in the next door of people from Shanghai. 5. People in sucking a sake of the cigarette live in the right side of the hippicist. 6. People who love to drink beer also love to eat chicken. 7. People with green house. 8. People who love noodles live in the next door of the snake man. 9. The neighbors from Tianjin are close to a love to eat beef, and another from Chengdu
45. Three Float: A, B, C ask value (A b) C = (B a) C (A B) C = (A C) B
46. Design a heavy sampling system, explain how anti-alias
47.Y1 (n) = x (2n), Y2 (n) == x (n / 2), Q: If Y1 is a periodic function, then x is a periodic function if x is a cycle function, then Y1 is a cycle? Function If y2 is a periodic function, then x is a periodic function if x is a cycle function, then Y2 is a periodic function.
48. If the bandwidth of the analog signal is 5kHz, it is necessary to use 8K's sampling rate.
49. A program has been aging in an embedded system (200MCPU, 50M SDRAM), is there to be operated in another system (300M CPU, 50M SDRAM), is it necessary to optimize? 50. Which sort below Method to 12354 is the fastest A. Quick sort b. BUBE SORT C. Merge Sort
51. If you go to Mars for 300 tomorrow, what is your most doing this evening?
52. Do you talk about the usage and effects of the monograph function and virtual functions?
53. Please draw the seven-layer network structure diagram of OSI and five-layer structure diagram of TCP / IP?
54. Describe a case you have developed high goals and successfully completed.
55. Honest is always the best?
56. In this case, you tend to lying?
57. If you can manage this world according to one of the following methods: no shortage, no problem, no rules - how would you do?
58. Whether all business relationships should have a fixed time period, or there is a fail time? 59. I'm really and comfortable, which is more important to you?
60. In order to achieve your purpose, what you have to give up what "what you love" management concept? 61. Do you have anything you have learned from the failure in success?
62. Where do you think is from the power from your organization? why?
63. Is the customer always right?
64. One day, the meteorological station forecast said that he would scrate the typhoon in the evening, and the old always is not in the company. He called back from the outside to tell you: "There is a storm today, there are several windows in the top floor, you go. "There is 3" behind the answers: "1. Ok, I will go right away; 2. I have already closed the windows; 3. The tax manager told me that I was closed." You Which answer will you choose?
65. What kind of concept is Microsoft still proposed before .NET?
66. A alarm, how many time clocks and points are still correct after adjustment. Description: The so-called correct time, that is, for the clockwise and minute, if the hour is taken for 12 hours, it must have a clockwise and minute needle in such a position.
67. In the school laboratory, there are 12-liter alcohol in a large bucket, and half of them are separated for others. There are only 9-liter and 5 liters of air buckets, how to do it, please think about it.
68.10 pirates grabbed 100 gold in the hidden, and intended to divide these trophytes. This is some pirates that tell the democracy (of course, their own unique democracy), their habits are allocated in the following way: the most powerful pirate proposes allocation programs, then all pirates (including the proposal) The program is voted. If 50% or more pirates agree with this program, this program is passed and dispensed accordingly. Otherwise, the pirate of the proposal will be thrown into the sea, then the nominated pirate is repeated the above process. All pirates are willing to see that they are thrown into the sea, but if they choose, they are not to get a cash. They are of course not willing to be thrown into the sea. All pirates are rational and knowing other pirates are also rational. In addition, no two pirates are equally powerful - these pirates raise their seats in accordance with the top-down level, and everyone knows themselves and other owners. These gold blocks can not be divided, nor allowing a few pirates to have a gold block, because any pirates don't believe that his association will comply with the arrangement of shared gold blocks. This is a pirate that everyone is only for yourself. What kind of distribution plan should make him get the most gold for the most fierce pirate? For convenience, we give them a number in accordance with these pirates. The most embarrassing pirate is a pirate of No. 1, and the pirate of the second is 2 pirates, so so. The most powerful pirate should get the largest number, start thinking about the answer? 69. A painless person who has a painful milkman must put milk buckets over 256 pint of milk every morning. His customers are distributed in four different streets, and each street has to supply the same quart of milk. After the task of the first street was completed, he attached the tap. Fill the milk bucket. Then, he went to the second street to send milk. After the delivery, he returned to the tap water! Every time you get a street, use water to fill the milk barrels until all lucky customers are served. If all the customers are supplied, there are 81 pint of milk in the bucket.
Trial: How much pure milk is divided into each street?
70. On the middle clip of two paper, a single-sided copy paper, then imagine the upper and lower pairs of paper, and the lower half is folded back. If you write your name in the first half of the first piece of paper, then you will reply? Where will they appear (front, back; upper, lower; first, second)? What is the direction? Don't make a diagram, but you can solve this problem!
71. There are five people A, B, C, D, and E. Everyone put a white or black hat on the head. Everyone can see the color of the hat wearing the head of others, but I can't see the color of my hat on my head. If a person wearing a hat is white, he is telling the truth, if the hat is black, what he said is false. Their words are as follows: a said: I saw three white hats and a black hat. B said: I saw four black hats. C said: I see a white hat and three black hats. E said: I saw four white hat. Q: What color is their hat wearing a hat?
72. There is a coin game, its rules are: (1) There is a bunch of coins, a total of ten. (2) The two sides take a walk from it, two or four coins. (3) Who will take the last coin who lost. L. Austin and Brooks are playing this game, Austin Open, Brooks. 2. The two sides always take the steps that can win themselves; if they cannot win, they will take the steps that can lead to and bureau as possible. Do you have one person in these two people? If so, who will be 蠃? 73. (China test area) has a family decided to move into the city, so I will go to the house. Family family, two husbands and a 5-year-old child. They ran a day until the evening, she did not easily see a residential rental. They ran quickly, the house was unexpected. So, go to the door to ask. At this time, the gentle landlord came out, and the three guests have gone from top to bottom. Husband and courage to ask: "Is this house for rent?" The landlord said: "Ah, it is really sorry, our apartment does not recruit a child's resident." Husband and wife listened, I didn't know how it was good, so, they Walking silently. The 5-year-old child looked at the eyes from the beginning to the end. The cute soul is thinking: I really can't do it? His red leaf-like little hand goes to the door of the house. At this time, the husband and his wife have come out of 5 meters, and they are looking back. The door opened, the landlord came out again. This child said: ... After listening to the landlord, he smiled and decided to rent a house to them. Q: What did this 5-year-old child say something, finally convinced the landlord?
74. Some shopkeepers like to indicate prices with thick-eye-catching numbers, making people a clear. However, some owners, especially jewelers and antiques are not willing to do this, they are very cautious, even in small price cards, they also use the letter code. That is to say, you want to know the price, you will not be able to ask. These 镇 微 的 商人 often use the letter code to choose a word containing 10 letters, each alphabet represents a number. For example: S O U t h w a l e s 1 2 3 4 5 6 7 8 9 0 This, only the owner knows that HA represents 57 pence, or SH / OW represents 15.26 pounds. One day, I bought two ancient play in an antique shop in a local place, there is OF, another piece of T / EA, totaling 6.41 pounds. My wife also bought two pieces, a piece of FB, a piece of I / RP, with a total of 5.69 pounds. My daughter bought two little stuff, and I labeled BT, a piece of LP, totaled 1.77 pounds. What words are this businessman used by the alphabet code for the price?
75. There are two eight-pound of containers, all over the wine, and there is a three pound empty container. Today, there are four people, B, C, Ding, how to use these three tendened containers without other tools, let the four people share the wine?
76. (China test area) spring blossoms. The morning of the park laughs and laughs. There are three aged grandmothers, and they are hidden by the peach tree. Xiao Jiang asked how many years old? The old people did not answer directly. One written a "this" word on the ground, one written "the last" word, one writes a "white" word. Xiao Jiang Best can't solve. Now please guess the age of the three old people! 77. There are three different mailboxes. There are 4 different letter to vote, how many different kinds of laws have been made?
78. Throw a coin in 4 consecutive times, seeking twice that is a positive probability and the probability of the last two times. 79. There are 30 basketball teams, and the first group (10 teams each) will play a single cycle system, and then the top three concentrations each set, then according to the single cycle system, it is specified in the group. The team no longer recalled, and how many games have been made in the game?
80.m, n is two equality planes, take 4 points within M, take 5 points within N, these 9 points, there is no other four points, and one of them does not come together. Seeking: a, can these points determine how many straight lines? Several planes? B, with these points as the vertices, how many triangular cones can you do? Tour cone?
81. A ship company has a ship from Harvard from Harvard from Harvard every day, a ship is from New York to Harvard; on the way to the boat is 7 days and night, and ask a few ships from Harvard today at noon. From the opposite ship?
82. There are several combine harvesters that are the same as the same model, harvesting the wheat on the land. If it takes a job to work to the harvest, it is necessary to use 24 hours; but they are in the same time in the same time, after each put into work All always worked to the wheat harvest. If the first harvest time is 5 times the last one, please: How long does it take to pass the wheat on this land?
83. (China's examination area) How much is the number of taxis in Shanghai accounting for the total number of motor vehicles in the city?
84. A journalist, originally started an interview at 1:30 pm, 2: 00. He must perform another interview task. However, the previous media reporter interviewed from 1:00 has delayed the time. 1:35, this reporter decided to ask the previous reporter to suspend it and let himself interview. If you are him, how would you achieve your goal?
85. Square edge is 1, with each vertex semi-diameter to 1 arc, there is a public area in the middle of the square, and the area is sought.
86.10 people lined up with a hat, 10 yellow hat, 9 blue hats, after wearing, the people behind, can see the front of everyone, then ask questions from behind, ask what colors on their heads, the result is always asked 9 people said that they didn't know, and the most in front of the people knew the color of the hat on their head. Ask what color, why?
