A classic piece of high IQ reasoning that requires an IQ of 120 or more to understand.
1. There are two unevenly distributed incense, and the burning time is one hour. What method can you use to determine the time of 15 minutes?
2. A manager has three daughters, and their ages add up to 13, which is equal to the manager's own age. A subordinate knows the manager's age, but still can't determine the age of the manager's three daughters. At this time, the manager said that only one daughter's hair was black, and then the subordinates knew the age of the manager's three daughters. What are the ages of the three daughters? Why?
3. Three people went to a hotel and stayed in three rooms. The price of each room is $65,438+00, so they pay the boss $30. The next day, the boss thought that $25 was only enough for three rooms, so he asked my brother to return $5 to three guests. Unexpectedly, my brother was insatiable, and only returned 1 USD each, and secretly took it away by himself. But at the beginning, the three of them paid 30 dollars, so 1 dollar?
4. There are two blind people. They all bought two pairs of black socks and two pairs of white socks. Eight pairs of socks are made of the same cloth, the same size, and each pair of socks is connected with trademark paper. Two blind people accidentally mixed up eight pairs of socks. How can each of them get back two pairs of black socks and two pairs of white socks?
5. One train leaves Los Angeles for new york at a speed of 15km/h, and the other train leaves new york for Los Angeles at a speed of 20km/h ... If a bird starts from two trains at a speed of 30 km/h, meets another train and returns, and flies back and forth in turn until the two trains meet, how long does it take for the bird to fly?
6. 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?
7. You have four jars containing pills. Each pill has a certain weight. The contaminated pill is the uncontaminated weight+1. You only weigh it once. How do you know which jar is polluted?
8. You have a bucket of jelly, including yellow, green and red. Close your eyes and grab two jellies of the same color. How many can you catch to make sure you have two jellies of the same color?
9. For a batch of lights numbered 1 ~ 100, all the switches are turned up (turned on), and the following operations are done: always turn the switches in the opposite direction once in multiples of 1; A multiple of 2 toggles the switch in the opposite direction again; Multiple of 3, and then turn the switch in the opposite direction? Q: Finally, the number of lights that are off.
10. Imagine you are in front of the mirror. Excuse me, why can the image in the mirror be upside down, but not upside down?
1 1, a group of people are dancing, everyone is wearing a hat. There are only two kinds of hats, black and white, and there is at least one kind of black. Everyone can see the color of other people's hats, but not their own. The host first shows you what hats others are wearing, and then turns off the lights. If someone thinks he is wearing a black hat, he will slap himself in the face. The first time I turned off the lights, there was no sound. So I turned on the light again and everyone watched it again. When I turned off the light, it was still 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?
12, two rings with radii of 1 and 2 respectively. The small circle goes around the big circle. How many times does the small circle turn by itself? If it is outside the big circle, how many times does the small circle turn by itself?
13, 1 Yuan, one bottle of soda, two empty bottles for one bottle. Q: You have 20 yuan money, how many bottles of soda can you drink at most?
Answer:
1. There are two unevenly distributed incense, and the burning time is one hour. What method can you use to determine the time of 15 minutes?
2. A manager has three daughters, and their ages add up to 13, which is equal to the manager's own age. A subordinate knows the manager's age, but still can't determine the age of the manager's three daughters. At this time, the manager said that only one daughter's hair was black, and then the subordinates knew the age of the manager's three daughters. What are the ages of the three daughters? Why?
3. Three people went to a hotel and stayed in three rooms. The price of each room is $65,438+00, so they pay the boss $30. The next day, the boss thought that $25 was only enough for three rooms, so he asked my brother to return $5 to three guests. Unexpectedly, my brother was insatiable, and only returned 1 USD each, and secretly took it away by himself. But at the beginning, the three of them paid 30 dollars, so 1 dollar?
4. There are two blind people. They all bought two pairs of black socks and two pairs of white socks. Eight pairs of socks are made of the same cloth, the same size, and each pair of socks is connected with trademark paper. Two blind people accidentally mixed up eight pairs of socks. How can each of them get back two pairs of black socks and two pairs of white socks?
5. One train leaves Los Angeles for new york at a speed of 15km/h, and the other train leaves new york for Los Angeles at a speed of 20km/h ... If a bird starts from two trains at a speed of 30 km/h, meets another train and returns, and flies back and forth in turn until the two trains meet, how long does it take for the bird to fly?
6. 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?
7. You have four jars containing pills. Each pill has a certain weight. The contaminated pill is the uncontaminated weight+1. You only weigh it once. How do you know which jar is polluted?
8. You have a bucket of jelly, including yellow, green and red. Close your eyes and grab two jellies of the same color. How many can you catch to make sure you have two jellies of the same color?
9. For a batch of lights numbered 1 ~ 100, all the switches are turned up (turned on), and the following operations are done: always turn the switches in the opposite direction once in multiples of 1; A multiple of 2 toggles the switch in the opposite direction again; Multiple of 3, and then turn the switch in the opposite direction? Q: Finally, the number of lights that are off.
10. Imagine you are in front of the mirror. Excuse me, why can the image in the mirror be upside down, but not upside down?
1 1, a group of people are dancing, everyone is wearing a hat. There are only two kinds of hats, black and white, and there is at least one kind of black. Everyone can see the color of other people's hats, but not their own. The host first shows you what hats others are wearing, and then turns off the lights. If someone thinks he is wearing a black hat, he will slap himself in the face. The first time I turned off the lights, there was no sound. So I turned on the light again and everyone watched it again. When I turned off the light, it was still 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?
12, two rings with radii of 1 and 2 respectively. The small circle goes around the big circle. How many times does the small circle turn by itself? If it is outside the big circle, how many times does the small circle turn by itself?
13, 1 Yuan, one bottle of soda, two empty bottles for one bottle. Q: You have 20 yuan money, how many bottles of soda can you drink at most?
Selected paragraphs of high IQ reasoning questions that need IQ above 120 to understand.
1. In the dispatching court of a court, the judge is trying a civil case. Among them, the plaintiff sued: The defendant lent him 10 thousand yuan and has not paid it back yet. Seeing that the statute of limitations is about to expire, the defendant must be returned immediately. ?
The plaintiff produced an IOU dated1February 29th, 993. The judge took the iou, pondered it briefly and said to the plaintiff. Whether the defendant lent you money or not, I hope you will tell me honestly, otherwise you will bear legal responsibility. ?
The plaintiff still argued irrationally. Finally, the judge gave his reasons, and the plaintiff had to bow his head and admit his mistake. Excuse me, why is this?
Answer:1February 29th, 993.
When my sister came back from shopping, she put some change in the drawer. However, when she took money to buy food in the afternoon, she found that there was no change in the drawer, so she called her three sisters and asked them if they had taken the change in the drawer.
A said:? I took it and went to buy snacks at noon. ?
B said:? I saw A take it. ?
C said: In a word, B and I didn't take it. ?
One of the three people is lying, so who is lying? Who took the change?
Answer: C lied, and A and C both took some. Suppose a lies, then b also lies, which is inconsistent with the meaning of the question; Suppose B lies, then A also lies, which is not consistent with the meaning of the question. Then, the liar must be C. Only when both A and C are changed can they satisfy the problem.
3. A department accepts a scout. The method of the exam is: all the people who take the exam are locked in a room with good conditions, and water and meals are delivered on time every day, and there are special guards at the door. Whoever goes out of the room first can go in. Some people say they have a headache and want to go to the hospital. The janitor called in a doctor. Some said that mother was seriously ill and had to go back to take care of her. The doorman called her when she was at work. Others gave many reasons, but the janitor just wouldn't let him out. Finally, a man said a word to the doorman, and the doorman let him out. What did this man say?
Answer: He said:? I won't take the exam. ? The gatekeeper may let a person who gave up the exam go.
A pair of enemies were caught by a murderer and locked in a secret room. The murderer gave them a question. In a limited time, whoever can successfully guess the date can open the door and leave safely.
First, the murderer gave ten dates: May/KOOC-0/6, May/KOOC-0/7, May/KOOC-0/9, June/KOOC-0/5, June/KOOC-0/8, July/KOOC-0/4, and July/7. Murderers know they won't tell each other what they know.
When the limited time is ready, A smiles and says:? I can't guess anyway, because I'm sure you can't guess either? . Suddenly, Li Li got up, opened the door and escaped. A suddenly realized? I figured it out, too? But it's too late. What date is it?
Answer: Step 1: Because B can't judge the month by day, it excludes 5- 19 and 6- 18, because only one belongs to the characteristic number. Step 2: B determines the month that B doesn't know according to A, and excludes May and June, that is, 5- 16, 5- 17, 6- 15, because B may directly determine the month according to the feature number in these two months. Step 3: B can escape, which proves that the correct answer has been obtained in the remaining July and August, so 7- 14 and 8- 14 with the same date can be excluded. Step 4: B has escaped, and A immediately knows the answer, proving that 7- 16, 8- 15, 8- 17 has a unique answer in the remaining three times, namely 7- 16.
5. After five pirates robbed 100 gold coins, they discussed how to distribute them fairly. They agreed on the distribution principle is:
(1) Draw lots to determine each person's distribution sequence number (1, 2, 3, 4, 5);
(2) Pirates who draw lots. 1 Propose a distribution plan, and then five people will vote. If the plan is agreed by more than half of the people, it will be distributed according to his plan, otherwise 1 will be thrown into the sea to feed sharks;
(3) If 1 is thrown into the sea, No.2 puts forward the allocation plan, and then four people are left to vote. If and only if more than half of the people agree, they will be allocated according to his proposal, otherwise they will be thrown into the sea;
4 and so on.
Assuming that every pirate is extremely intelligent and rational, they can make strict logical reasoning and rationally judge their own gains and losses, that is, they can get the most gold coins on the premise of saving their lives. At the same time, assuming that the results of each round of voting can be implemented smoothly, what distribution scheme should the pirates who have drawn 1 put forward to avoid being thrown into the sea and get more gold coins?
Answer: 1:96 2:0 3:0 4:2 5:2 First of all, when voting on the scheme of 3, 4 will support 3, because otherwise he will die against 5. Therefore, if 1 2 dies, the scheme of 3 must be 100, 0, 0, and it will be supported by 3 and 4. At this time, the payoffs of 4 and 5 are 0, so 1 2 can bribe 4 and 5 to get support. At the same time, the expected return of 3 is 100, and he will be desperate to oppose 1 2. And if 1 dies, the scheme of 2 must be 98,0, 1, 1, and it will definitely pass. Therefore, the optimal scheme of 1 is 96,0,0,2,2, which will definitely pass. In fact, 98, 0, 0, 1, 1 are also possible, and they may all pass (depending on the mood and cruelty of 4 and 5).
A simplified article on high IQ reasoning questions that requires an IQ of 120 or above to understand.
1. The doctor gave the patient two kinds of tablets, two of each. These two pills have different ingredients, but the appearance is the same. The doctor asked to take one pill in the morning and one pill in the evening. It's hard to tell the difference between pills now. If the patient does not take the medicine according to the regulations or does not take the medicine, he will die. What can he do to survive?
Answer: although I went to see the doctor again and asked him to prescribe medicine, it can't be said that the answer was wrong. But the clever answer is: cut all four pills in half, and then take half each morning and evening.
Four friends live in a small town. Their names are a, b, c and d. They are a policeman, a carpenter, a farmer and a doctor.
One day, A's son broke his leg. A takes his son to see a doctor. The doctor has a sister who is C's wife. The farmer has never been married. He keeps many hens. B often goes to farmers' houses to buy eggs. The police can see C every day because they are neighbors.
Excuse me: Who is the farmer among the four people?
Answer, answer
b，b
c，c
d，d
Answer: d can be determined first. c:? The doctor has a sister who is C's wife? , so C is not a doctor; ? The police can see C every day? Therefore, C is not a policeman; ? The doctor has a sister who is C's wife, and the farmer has never been married? C is married, so C is not a farmer; Push c is a carpenter. Second, determine a? A takes his son to see a doctor. ? So a is not a doctor; A is married, so he is not a farmer; Judging from C's carpenter status, A is not a carpenter, and finally A is a policeman. And then determine B. B often go to farmers' houses to buy eggs? So B is not a farmer, carpenter or policeman, and B is a doctor. Finally, it is obvious that Ding is a farmer. In fact, there is no such detour. The farmer is not B, the farmer is not married, nor is he C, nor is he an unmarried son, so he is not A, so although the topic is circuitous, the answer has long been leaked!
3.2 yuan for a bottle of beer, two empty wine bottles can be exchanged for 1 bottle of beer, and four bottle caps can be exchanged for 1 bottle of beer. 1How many bottles of beer can 0 yuan drink at most?
1. Credit is not allowed.
2. Not allowed? Change the lid of the empty bottle? trade
3. Not allowed? Replace 1 empty bottle with 2 bottle caps? trade
Answer: I can always drink15; The number of remaining bottles is1; Number of remaining lids 3
4,。 A thief waited until the store closed for five hours before breaking into the house. The thief searched around the store with a flashlight to see what was valuable!
Suddenly the thief realized that he had stepped on a pool of water and looked down at where he had stepped. Unexpectedly, it was a pool of blood!
The thief was surprised and thought? This is the kitchen. It is normal to have blood. ?
He thought about it, and the next second, he suddenly ran out without thinking.
Then excuse me, why did the thief run out? What did he realize?
Answer: Because the shop has been closed for five hours, if there is blood on the ground, it should be solidified, so the blood must be fresh. Maybe there was a murder here, so the thief ran out in fear.
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