Puzzle: 1-28 Questions

1, you let the workers work for you.7Day, the return to the worker is a gold bar. Gold bars are divided into connected7section, you have to give them a piece of gold bar at the end of each day, if you only have two times to break the gold bar, how do you pay for your workers? Answer: Divided into1/7，2/7，4/7Because1，2，4can be combined into1-7Any one of the numbers.2, please cut a box of cakes into8Part, give8Individual, but there must be a copy in the Cake box. Answer: In the face of such a strange problem, cut into the8Take out the cake first7Share to7Man, the rest.1Share the Cake box with the first8Personal.3, Xiao Ming's family over a bridge, when the bridge is the night, so must have lights. Now Xiao Ming Bridge to1Second, Xiao Ming's brother wants to3Second, Xiao Ming's father wants to6Second, Xiao Ming's mother wants to8Second, Xiao Ming's grandfather wanted to ASeconds. The bridge can be up to two people each time, and the speed of the bridge depends on the slowest person on the bridge, and the light is lit -Seconds will go off.      Q: How does Xiao Ming's family cross the bridge? Answer: Xiao Ming + brother =3Seconds, Xiao Ming goes back =3seconds, mom + Grandpa = Aseconds, brother go back =1Second, Xiao Ming + brother =3seconds, brother go back =1seconds, brother + dad =6seconds, altogether =3+3+ A+1+3+1+6= inSeconds.4, a group of people had a ball, each wore a hat on their heads. The hat is only black and white, with at least one black. Everyone can see the color of other people's hats, but they can't see their own. The moderator first let everyone see what other people wearing the hat, and then turn off the lights, if someone thinks they are wearing a black hat, hit himself a slap. The first time off the light, no sound. Then turn on the lights, we see again, turn off the lights are still silent. It was not until the third time that the light was turned off that the sound of the slap was popping.       How many people are wearing a black hat? Answer: If only one person wears a black hat, he saw everyone wearing white hats, the first time when the lights should be slapped, so more than one person should wear a black hat, if there are two black hats, the first two people only see the other side of the head of the Black hat, not sure of their color, but to the second turn off the lights, these two people should understand that If you wear a white hat, the other side should have slapped on the face in the last time, so they are wearing a black hat, so there will be a slap on the ear, but the fact is the third time only sounded the slap sound, indicating that there are more than two black hats, and so on, should be closed several times the lights, there are several black hats5, please estimate the quality of CN Tower TV Tower. Answer: How do you quickly estimate the height of the bracket and column, the radius of the ball, figure out the volume of each part, and so on. The interviewer says:"As far as the cntower problem is concerned, there is a difference between it and the general riddle or puzzle," he said. We call this kind of "quick estimate", the main test is the ability to quickly estimate, which is the ability to develop software necessary. Of course, the topic is only a means, not the purpose, ultimately, it is necessary to get a result, but more importantly, the test taker to obtain the results of the process is the method of investigation. "Mr Miller gave reporters an example of a more reasonable answer, he first drew a sketch of the CN Tower on paper, and then quickly estimated the height of the bracket and each column, as well as the radius of the ball, calculate the volume of each part, and then the density of each part of the operation, and finally summed up a result. This type of topic is actually a lot, such as:"estimate the quality of the water in the Mississippi R.." ""If you are Governor Tennessee State, please estimate how long it will take to manage the pollution of the Compaq River." "  　　 "estimate the quality of rain that falls on a person who travels in a drizzle for 5 minutes." "Mr Miller goes on to explain:"Topics like this, including some reasoning questions, are People's problemsolving (the ability to solve problems), not the question you remember the answer to." "For the purpose of the company's recruitment, Mr Miller stressed four points, these are creative companies generally focus on the quality of staff, is to want to the well-known enterprises to achieve their career dream of the people have to have the quality and ability. 　　Requirement One: Rawsmart (pure Wisdom), independent of knowledge. 　　Requirement Two: long-termpotential (long-term learning ability). 　　Requirement Three: Technicskills (skill). Requirement Four: professionalism (professional attitude).6, on the first floor to the 10 floor each floor elevator door is placed a diamond, the size of the diamond varies.      You take the elevator from the first floor to the 10 floor, each floor elevator door will open once, can only take once diamond, ask how to get the biggest one? Answer1: The first five layers do not take, do a very aware, the following selective pick. Answer2: Front3The layer does not take, the back encounters than the front three layer big immediately takes, raises to take the biggest probability.7, The U2 Choir -Minutes to the concert, the way must cross a bridge, four people from the same end of the bridge, you have to help them to reach the other end, the sky is very dark, and they only have a flashlight. At the same time can have up to two people to cross the bridge, and the bridge must hold a flashlight, so someone has to bring a flashlight to take, back and forth Bridge ends. Flashlights can not be lost in a way to pass. The walking speed of four people is different, if the two people walk with the slower speed of whichever. Bono need to spend1Minutes across the bridge, the edge needs to spend2Minutes across the bridge, Adam needs to spend5Minutes across the bridge, Larry needs to spendTenMinutes across the bridge. How are they going to -What about the bridge in minutes? Answer:2+2+Ten+1+2= -(minutes).8, burning a non-uniform rope to use one hours, how to use it to judge half an hour? Answer: Burn together on both sides.9, why is the lid of the sewer round? Answer: The 1th area under the circle of the largest coverage area, the 2nd (focus) is round you can not throw the lid into the sewer, if it is rectangular or oval, a little spin will fall down.TenAnd how many petrol stations (cars) are there in the United States? Answer: At first glance, you might want to ask how many cars the country has to start with. The interviewer may tell you the number, but it may also say:"I don't know, you come to tell me." "Well, you say to yourself that the population of the United States is2.75Billion. You can guess if the average size of each family (including singles) is2.5People, your computer will tell you that a common1.1Hundreds of millions of families. You remember where you've heard, on average every family has1.8Car, then the United States will have about1.98Millions of cars. And then, as soon as you figure out1.98How many petrol stations do you need for the service of hundreds of cars, you solve the problem. The important thing is not the number of the gas station, but the way you draw the number. OneYes7Grams2Gram weights each one, balance one, how to use only these items three times will $grams of salt into -、 -One for the grams? Answer:1.61+ -= $(derived AG2.2+7=9(derived9G3.50= A-9-2(derived -g). A, there is a train to every hour theKilometer speed left Los Angeles straight to New York and another train to the hour -Kilometers of speed from New York to Los Angeles. If there is a bird, to -KM per hour and two trains are now starting, starting from Los Angeles, after encountering another car back, followed by two trains back and forth flight, straight to both sides of the train meet, excuse me, this bird flew how long? Answer: Suppose the distance from Los Angeles to New York iss, the distance that the bird flies is ( s/(15+20)) *30. 13, you have two cans, 50 red Pinball, 50 blue pinball, randomly selected a jar, randomly selected a pinball into the jar, how to give the red pinball the biggest selection opportunity?     What is the exact odds of getting the red ball in your plan? Answer: A jar with a red ball, another can put 49 red ball and 50 blue ball, the probability is close to 75%. This is the maximum probability that could be achieved.　　In fact, as long as a jar put <50 a red ball, do not play basketball, the other can put the remaining ball, the probability of taking out the red ball is greater than 50%.       14, imagine you in front of the mirror, ask, why the image in the mirror can be reversed around, but not upside down? 　　Answer: Because the human eye is symmetrical in the horizontal direction.     15, you have four people loaded pills, each pill has a certain weight, the contaminated pill is not contaminated weight +1. Weigh only once, how can you tell which pot is contaminated?　　Answer: The first jar to take 1, the second can take 2, the third can take 3, the fourth Jar takes 4, the final weighing results-10, the result is how much to determine which jar problem.    16. If you have infinitely much water, a 3-quart and a 5-quart pail, how do you accurately weigh 4 quarts of water? Answer: 1. 5 quarts-3 quarts =2 quarts 2. Pack the 2 quarts into 3 quarts of pail 3.　　A 5-quart pail filled with 1 quarts to 3 quarts of pail will get 4 quarts of water.    17, you have a bucket of jelly, which has yellow, green, red three species, close the eye crawl, how many can be sure you have two of the same color jelly?　　Answer: 4 of them will definitely appear the same.    18, the car key into the door, in which direction to turn the lock can be opened?　　Answer: Rotating in the right direction can be turned on, (different cars are not the same).    19, if you can remove any one of the 50 states, then which one you remove, why?　　Answer: Remove the "state" because it is a bit more complicated. 　　20, to a number of 1~100 all switches facing up lights to do the following operation of the General 1 is a multiple of the opposite direction dial One switch 2 times the opposite direction and Dial a switch 3 multiples of the opposite direction and Dial a switch.    Ask the number of the lamp that was last turned off.　　Answer: The number of 1,4,9,16,25,36,49,64,81,100 factors will be turned off. 21. Suppose a disc rotates like a turntable on a phonograph. The plate is half black and half white. Suppose you have an unlimited number of color sensors. To determine the direction of the disc rotation, how many color sensors do you need to put around it? Where they should be placed？ Answer: 2 sensors, placed in an asymmetric any, b two point. Judging by the change time difference of the color of B.　　(You can understand it by drawing yourself). 22, suppose the clock to 12 points. Note that the hour and minute hands overlap. How many times does the hour and minute hand overlap during the day?    Do you know the exact time when they overlap? Answer: overlap 22 times. 　　11-1 points overlap only 1 times, each 12 hours will overlap 11 times, so it will overlap 22 times. 23, the middle of only a number of two odd numbers are called odd pairs, such as 17 and 19. Proving that the numbers between odd pairs are always divisible by 6 (assuming both are more than 6).     It is now proved that there are no odd pairs consisting of three odd numbers. Answer: 1. First, the number of the two odd numbers is definitely even, so this number is definitely a multiple of 2, and secondly, the number of connected 3 must be a multiple of 3 (this oneself should not be difficult to understand), and 2 prime number is certainly not a multiple of 3, so the numbers must be 3 multiples. A number is a multiple of 2.          is a multiple of 3, then it must be a multiple of 6, where 3,5 this odd pair is a special case.　　2. Prove that: for example, 17 and 19 are odd pairs, 18 can be divisible by 6, assuming 21 is also odd pairs, then 20 can be divisible by 6, but 18 can be 6 whole except, 18 and 20 is only 2, not enough to get another number divisible by 3, so it can be overturned is not tenable. 24, a room has a door (door is closed) and 3 lights. There are 3 switches on the outside of the house, which are connected to the 3 lamps respectively. You can manipulate these switches at will, but once you open the door, you cannot change the switch.    Determine which lamp each switch is specific to. 　　Answer: Open a switch first, let the lamp open for a period of time off, (until the temperature can be judged), and finally open another switch in, and then you can judge. 25. Suppose you have 8 balls, one of which is slightly heavier, but the only way to find the ball is to compare the two balls on the balance.    At least how many times to find the heavier ball? 　　Answer: 3 times. 26, play a Chaizi game below, all the alphabetical order is disrupted. You have to judge what the word is. 　　　　Let's say that the broken word consists of 5 letters: 1. How many possible combinations are there? 　　　　2. What happens if we know what the 5 letters are?        3. Find a way to solve this problem. Answer: 1. Find 5 out of 26 letters, this is a combinatorial problem, the answer is: 52*52*52*52*52 2. Has given 5 letters, then is the arrangement problem: 5*4*3*2*1 27, 4 women to cross a bridge. TheyStand on one side of the bridge to get them all through the bridge in 17 minutes. This is the night. They only have one flashlight. Up to two people can cross the bridge at the same time. No matter who is crossing the bridge, whether it is a person or two people, must have to carry a flashlight. The flashlight must be sent to pass, not to throw the past. 　　The speed of each woman crossing the bridge is different, the speed of two people must bridge the speed of the slower person. 　　The first woman: it takes 1 minutes to cross the bridge; a second woman: 2 minutes to cross the bridge; a third woman: 5 minutes to cross the bridge, and a fourth woman: it takes 10 minutes to cross the bridge. For example, if the first woman and the 4th woman first crossed the bridge, and so they passed, it has been 10 minutes. If the 4th woman sends her flashlight back, then when she arrives at the other end of the bridge, it will take 20 minutes for the action to fail. How do you get these 4 women to cross the bridge in 17 minutes?    Is there any other way? 　　Answer: 2,2,10,1,2 (just to get back with a relatively small amount of time). 28, if you have two barrels, one is a red pigment, the other is a blue pigment. You scoop a glass from a blue paint bucket, pour it into a red paint bucket, and then scoop a cup of red paint into the blue paint bucket. What is the higher proportion of red and blue pigments in two barrels?     To prove it by arithmetic means. Answer: Same.      Set the original A (red), B (blue) inside are 10 parts of paint.      First time: A (10 (red) +1 (blue)), after mixing, the ratio of red to blue is 10:1. Second time: B (9 Blue +1/11 Blue: 10/ OneRed), after mixing, the ratio of blue to red isTen：1。

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Puzzle: 1-28 Questions