开发智力的逻辑思维题（The logical thinking problem of developing intelligence）

开发智力的逻辑思维题（The logical thinking problem of developing intelligence） 开发智力的逻辑思维题(The logical thinking problem of developing intelligence) 1. a uniform thickness of the long straight tube, open at both ends, there are 4 white balls and 4 black balls, ball diameter, open at both ends of the diameter equal to the inner diameter of the pipe, now white and the black are arranged in wwwwbbbb, asked not to take out any one ball, the arrangement is bbwwwwbb? Answer: cut down the BB side, attached to the other end, and then into the BBWWWWBB; or if you can bend pipe can achieve this effect. 2. a snail climb from the bottom to the wellhead, the snail to sleep during the day and come out at night, one night a snail can to climb 3 feet, but when sleeping during the day would slide down 2 feet, 10 feet deep wells, asked a few days a snail can climb out? Answer: 8 days, 7 days before the day 3-2 = 1 feet, eighth days do not have to wait until the night, what does not mean this problem! 3. in a plane 1999 lines are drawn up to this plane is divided into many parts? Answer: 0 line plane 1 1 (1+1), 2 (2+1+1), 3 (3+2+1+1 1999 copies of 1999001 copies (1999+1998+1997+-------+2+1+1) An island in the Pacific Ocean 4. lived on the natives, they don't want to be disturbed, a day, an explorer arrived on the island, were natives caught, native priests told him before he died, you can also have a chance to leave a word, if the sentence is true, you will burned, is false, you will be torn to pieces, poor explorers how to survive? Answer: said: "I will be torn to pieces", the formation of paradox. 5. how to plant four trees makes equal distance between any two trees. Answer: four trees in a pit; or find a space equilateral hexagon like mountains, a tree at the top of the mountain, three trees at the foot of the mountain. Feel this problem is not to stay in a plane to three-dimensional network to. 6.27 young athletes participated in the race, thirsty, went to the store to buy drinks, beverage shop promotion, with three empty bottles can change a bottle, at least they can buy how many bottles of beverage that one bottle? Answer: three empty bottles can get a new bottle, this problem as long as you know 9 empty bottles for 3 bottles, three of which will be a new one can answer. The answer is to buy 9 send 3 + 1, buy 9 send 3 + 1, this time to buy a bottle of 27. This 19 bottles. Another answer is 9 + 3 + 1 + 9 + 3 + 1 this time there is a person not to boss the first credit a bottle, then drink late in exactly 3 bottles, together also don't have to pay, so 18 bottles. According to the second kinds of ideas to 27 bottles of 27 and can also direct credit 9 remove the 9 as 18. 7. there is a mountain, there is a temple on the hill, there is only one way to the temple from the mountains to the foot of the mountain, 8 points every Monday morning, there is a clever little monk went to the mountain from the foot of the mountain temple alms, 8 o'clock Tuesday morning, down the mountain monk on speed is arbitrary in each round, and he can always at the same hour on Monday and Tuesday to reach the same point on the road. For example, once he found Monday at 8:30 and 8:30 on Tuesday he went to the foot of the mountain road 3/4 place, Ask why is this? Answer: we can consider this, as if two monks in a mountain of a mountain, regardless of their speed, there is always a time to meet. This problem is confusing, but it is not what difficulty, only to a certain extent, the confusion of everyone's eye. A process is divided into two terms. 8. if a disk rotate like on a phonograph turntable. This disc is half black, half white. If you have some limits on the number of color sensor. In order to determine the direction of rotation of the disk, you need to put the number of color sensors around it? They should be placed in what position? Answer: 2 A, B, a were on the left in the upper left, lower left in the B, if a B before the change is clockwise, B prior to the a change is counterclockwise 9. suppose the clock to 12 points. Note that the hour and minute hands overlap together. During the day, hour and minute hands overlap is how many times? Do you know the exact time when they overlap? Answer: 22. We need to know 11 points to 1 points between two pointers we only overlap a. Not to see you around the table think of the achievement that 10. the distribution of incense uneven two incense burn time is one hour, you can use what method to determine a 15 minute time? Answer: two of the fragrant incense also points up, the first two points, another cigarette burned only a head, etc. the first incense burned at the same time (this is the burn of the total length of second 3/4), another head lit incense, another head from lit to out of time is 15 branch! 11. a manager has three daughters, three daughters age add up to 13, the three daughters of the age by up to manager of their age, there is a subordinate already know the manager's age, but still can not determine the manager of the three daughters of the age, the manager said that only one daughter's hair black, then the subordinates will know the manager of three daughters age. Excuse me. What is the three daughters of the age? Why? Answer: three female age should be 2, 2, 9. Because only one child is the only black hair, she grew up, the other two or early childhood is less than 3 years old, the hair is pale. Combined with the manager's age should be at least more than 25. 12. Microsoft. Estimate of a road in the rain in 5 minutes was caught in the rain the quality of answer: approximately perpendicular to the ground drops down, rain precipitation is 0.2mm Approximate that rain density is 1000kg/m^3 If the shoulder width is 0.5m, the speed for the 50m/min People walk in the 5min area of 0.5*50*5=125 square meters In this area because the volume of 0.0002*125=0.025 cubic meters So the rain quality is 0.025*1000=25kg 13. there are three people to go to a hotel, living room, each room $10 yuan, so they paid a total of second days, $30 boss, the boss think three only need $25 yuan is enough so that I returned to $5 to three guests, who knows I greedy, only to return each $1, he secretly took $2. This way is the three guests each spent nine yuan, so three people spent a total of $27, plus the boy pocketed $2, a total of $29. But they had to pay a total of three $30 and then $1? Answer: a total of 30 yuan to pay 27 yuan (including 25 yuan for the boss + corruption 2 yuan per person and the younger brother) to return 1 yuan (3 yuan), take 27 and 2 yuan is added to confuse the public. 14. two blind, they each bought two pairs of black socks and two pairs of white cloth, the size of the eight pairs of socks are identical, and each pair of socks have a label attached to. Two blind men will not be mixed with eight pairs of socks. Each of them how to retrieve the black socks and white socks for two? Answer: each pair of socks are apart, each of you take one, no socks, black stockings and White Sox finally get to two. 15. there is a train at a speed of 15 kilometers per hour from Losangeles to New York, another train at a speed of 20 kilometers per hour from New York to Losangeles. If a bird, starting at 30 kilometres per hour and two train at the same time, starting from Losangeles, met another car back, turn in the two car train flew back and forth, until the two train meet, excuse me, this bird fly a long distance? Answer: two train to get together before the bird is always in uniform flight, Losangeles: New York distance is A, is a bird in flight time is A/ (10 + 20), multiplied by 30 is a bird flying distance. 16. you have two jars, 50 red marbles and 50 blue marbles, randomly selected one pot, randomly selected out of a ball in a pot, how to select the largest red marbles? In your plan, how much is the exact odds of red? Answer: a pot of a red ball, another pot 49 red and 50 blue, the probability is close to 75%. This is the maximum probability can be achieved. In fact, as long as a jar of <50 red, do not put the basketball, Another can put the rest of the ball, the ball out probability is greater than 50% 17. you have four jars of pills, each pill is a certain weight, contaminated pills is not contaminated weight + 1. metage one, how could you tell which jar drugs have been contaminated? Answer: No. 1 tank to take 1 pills, 2 can take 2 pills, 3 can take 3 pills, 4 can take 4 pills, weighing the 10 pills, than it Often weight of several cans of the drug problem. 18. you have a bucket of jelly, which has yellow, green, red three, eyes closed, grab the same two colors of jelly. How many do you have to grab to be sure you have two of the same color jelly? Answer: 4 because only three colors, when you get 4 times must be repeated. A group of 19. numbered 1 to 100, all switch upward (open) following the lights for the opposite direction: all multiples of 1 set a switch; the opposite direction in multiples of 2 and a dial switch; the opposite direction in multiples of 3 and a dial switch...... Q: finally extinguished the lamp number state. Answer: 1,4,9,16,25,36,49,64,81100 Because all the prime numbers are only 1 and his two divisors, it will be the first after each time. Therefore, the final state is open. While the number of at least two or more than two divisors, even if it has a different number, the number corresponding to the state of the switch will open. If it has an odd number of divisors when, The corresponding switch is off. We know that any number when it is only odd divisors, it must be a divisor square. Check all the 1-100 number, can get the answer. Can you imagine 20. in front of the mirror, the image in the mirror, why can reverse left and right, but not up and down? Answer: the mirror symmetry axis is the axis The 21. ball to open a group of people, each person is wearing a hat. Only two black and white hat, black at least one. Everyone can see the color of the hat to other people, but can not see their own. Moderator let us take a look at other people wearing the hats what is, the lights are turned off and then, if someone think wearing a black hat, a hit his face. First off, no sound. Then you see it again, turn on the lights, turn off the lights when still in perfect silence. Until the third time to turn off the lights, only the voice sounded pat slapping. Asked how many people wearing a black hat? Answer: there are three people wearing a black hat. Suppose there are N people wearing black, when N=1, wearing black to see everyone else for Atractylodes will be able to Ken His black. For the first time the lights should be sound. We can conclude that N>1. For each wearing a black man, he could see the black hat N-1, and thus assume that he is white. But waiting for N-1 time no one hits him, each wearing black can know he is black. So the N lights have hit their personal N. 22. of the two ring radius is respectively 1 and 2, in the small circle inside around the big round Monday week, asked to own a small round a few weeks? If the external circle, circle itself to a few weeks? Answer: in round 1 turn. To the 6 circle, small circle for the actual mobile perimeter. 23.1 yuan a bottle of soda, after drinking two bottles for a bottle of soda, ask: do you have 20 yuan of money, most can drink a few bottles of soda? Answer: from the beginning of 39 bottles, second bottles, equivalent to 1 yuan to buy 2 bottles. 20 - 10 - 5 (more than 1), 2 (1): 1 (1): 1 24.: Microsoft has 8 ball ball, 1 among them is "defective ball", which is other than the ball weight. How do you use the scales to find the ball only through two weighings? Answer: the ball is divided into 2, 3, 3 and three were labeled as a, B, C, B, C in the balance, if the balance of heavy ball in a, in the a were divided into two groups of 1, 1 you can fix the balance; if not as the B, the heavy ball inside the B, the B is divided into 1, 1, 1 and three were free to call two can know what we want is what. 25. each triangle at each corner of an ant. Each ant starts toward another ant linear movement, the target angle is selected at random. What is the probability of ants each other? The answer should be: there are only two ways to let ants avoid collision: or they all move clockwise or counterclockwise movement, all of them. Otherwise, will hit together. Choose an ant, once it is determined its counterclockwise or clockwise movement, movement to the other ants have the same direction to avoid collision. Due to the ant movement direction is randomly selected, then second ant movement direction probability selection 1 / 2 identical with the first ant. Third ants have 1 / 2 of the probability of the first the same direction. Therefore, the ants avoid probability hit together is 1 / 4. The 26. floor to the ten floor of the elevator door of each layer are placed in a diamond, diamond sizes. You take the elevator from the first floor to the ten floor, each floor of the elevator door will open once, can only take one diamond, and asked how to get the biggest sinking? Answer: the first three will not take, after a if better than its previous three are large, take, or not to take. Until tenth if it does not conform to take it. You can refer to the CMO2004 (or 2003) of a problem, that is relatively long, do not write here. So get the top three probability is more than 70%, the maximum is more than 30%, is very good. The absolute maximum of the situation does not exist. Promotion: a M case, the 3 to the nearest integer and M/3. 27. with 3 colors for a twenty face color, each side to cover, you can use many different coating method? Which of the three kinds of color will you choose? Answer: should be a series of problems, the three color is casual, everyone. The method: the first color to select one of the three, second select one of the three...... Therefore, a total of 20 times: 3 minus 3 (3 color). Remove all and only color scheme: 20 times 2 minus 2 (2 color) by 3 (white color scheme 3). As a result 3486784398-3145722 = 3483638676. IQ test 28. Intel EE Apple has 10 reactors, each of which 10 pile of a pile of each other 240g each pile is all 250g/ a call please just once to find out a pile of apples 240. Answer: from 1 to 10 per 1, 2, stacker 3, 4, 5... 10, weighing about, look at the weight he knew what a heap. 29. you keep working for you for seven days and a gold bar to pay. This one is divided into 7 sections. At the end of every day, you must give them a piece of gold if you are only allowed to make two breaks in the gold bar, How do you pay your worker? Answer: is divided into three sections, respectively 1/7, 2/7, 4/7, by way of payment of wages for rmb. 30. if you have infinite water, a 3 quart and a 5 quart pail, how do you measure exactly 4 quarts of water? Answer: the first 3 Chengman to such as 5, in 3 to 5 in Chengman again, so you can get 1, 5 of all to get off, the 1 to import into a 3 can get 4 22. CAS questions: 1 liters, 8 liters and 27 liters of three barrels, 31. requirements: the faucet can only be opened once, and not to waste water, how to say? 13 liters of water? Answer: what do you mean without this problem, a 8 five 1 27 into it, open the tap, with 8 liters barrels of water at the same time, the 5 1 liter bucket of water on top, pour 27 liters barrels, Then, 8 liters barrel is full, and then poured into 27 liters barrels. At that time, I think, is then filled with water, It can be said that is a drop of water did not waste. 32. a person died in a fork netherworld on the way, one is to the heaven, the other one to hell, there were a devil by a devil only the truth, A lie (which really fake or don't know); this person can only ask a question, ask what can be, but only a total of only one can ask, how could he ask you to heaven? Answer: just ask one of the "" if I asked him (the one you ask next) which is the road to hell, what will he say? "Asked whether asked who get the wrong answer, the answer is just to heaven the road. 33. a three travelers met a beauty, he does not know which is an angel, which is the devil angel. In truth, the devil tells lies. A: between B and C, at least one is an angel. B said: in a and C, at least one is the devil. C: I tell you the correct message. Can you tell a few angels? Answer: two! A and b! C is the devil! Because if a is the devil's words, that B and C are not angels, that is to say B say is a lie, then C and a are not on the devil! Inconsistent with the previous assumptions, so may not be a devil! This is it～～ 34.Lg assumes that every day from London to New York to send a ferry from New York at the same time, also made a trip to London, 7 days, ask from London the ship arrived in New York, midway and several passenger ships met each other? Answer: 13, when it starts there has been 6 ships at sea, so we can have 2 ships, on that day only to meet 1 ships, because there is a ship is not starting. 35.12 balls in a balance, we know that there is only one and other different weight, ask how to use three times to find that the ball. 13? (note that this problem does not indicate that the weight of the ball is light weight, so it needs careful consideration) (5 minutes -1 hours) Answer: (1) divided into 444 groups of three, 4 from two arbitrary in the balance, if so, in the remaining 4, the following is divided into 11 "second times, regardless of a smooth change, you would know that is required; (2) if the 44 is uneven, the 8 is divided into 233 three, with 14 (1) method can fix. (3) if the 13 is divided into 445, first with 44, with uneven (1), he took another 3 flat by adding 5 (2) 36 out of three switches are respectively corresponding to three indoor light, line is good, at the door control switch when I can't see the indoor light, now only allowed the door once, to determine the relation between the switch and the lights? Answer: first let the 3 switch is in the same state (and we don't know is on or off), then change the two of them, 10 minutes later, a change of the two, and then change the two 5 minutes after another, and then entered the room, the temperature can be according to the bulb know the relationship. The length of time (directly affects the room temperature when the light bulb, and if it is the beginning of the open house, there were two open; if the start is closed, when in 2 is closed. No matter how 3 lights corresponding to the temperature is hot, warm and cool three) 37. RMB 1, 2, why only 5 and 10 of the face value? Answer: because it can use the four interview any money together. 39 the sun always rises from the east? Answer: No, if we stand in the pole all directions are consistent. In the Arctic, there is no "Oriental" in this direction. Every direction is south. In 6 months of "day" time, the sun rises from the South came from the south. In addition to the Antarctic is the same, every direction is north. 40 burn a uneven rope with one hour, how to use it to judge for half an hour? Answer: this question is a lonely thought and that (with the distribution of incense, incense burn is not uniform two time is one hour, you can use what method to determine a 15 minute time?) The same, in fact as long as two together can be lit for half an hour, ha ha, a lie 41 there are 4 women across a bridge. They are standing on one side of the bridge, let them in 17 minutes all through the bridge. This is the night. They only have a flashlight. Could have a maximum of two people at the same time. No matter who is the bridge, whether it is a person or two people, must take a flashlight. The torch must be passed, it cannot be thrown. Every woman crossing the bridge at different speeds, two speed must be for the person of the slower speed. First woman: crossing the bridge 1 minutes; The second woman: crossing the bridge 2 minutes; The third woman: crossing the bridge 5 minutes; The fourth woman: crossing the bridge 10 minutes. For example, if the first woman and the first Fourth women across the bridge, as they passed, 10 minutes have passed. If the fourth women will send back then her flashlight, arrive on the other side, spent a total of 20 minutes, the action also fails. How to let these 4 women across the bridge in 17 minutes? What else? Answer: the river, their idea is to go back, this problem is to use less as far as possible to make the time, then the best is to let the big time 10, 5 together in the past, and don't come back, then we are in accordance with the following methods: 2 and 1 Bridge together with 1 back. 3; 10 and 5 together, 2 back in 12; 2 and 1 together in the past, when 2. When a total of 3122 = 17, ha ha, meant to