20 IQ test questions

Doing more IQ tests at ordinary times will be beneficial to intellectual development to some extent. The following are the IQ test questions and answers I collected. I hope you like them.

The topic is as follows

1, the preferred interview topic for multinational famous enterprises

Now Xiaoming's family has crossed a bridge. It's dark when crossing the bridge, so there must be a light. Now it takes 1 second for Xiaoming to cross the bridge, 3 seconds for Xiaoming's brother, 6 seconds for Xiaoming's father, 8 seconds for Xiaoming's mother and 12 seconds for Xiaoming's grandfather. At most two people can cross the bridge at a time. The speed of crossing the bridge depends on the slowest one. The light turns on for 30 seconds and then goes out. Ask Xiaoming how to cross the bridge.

Let you do the first two big arithmetic problems.

Four couples sit together and chat. Of the four women, Xiaoli ate three pears, Xiaoyu ate two, Xiao Fang ate four and Xiaolian ate 1. Among these four people, Guoqiang eats as many pears as his wife, Xiangyang twice, Zhong Min three times and Wen Jia four times. They ate 32 pears together. Do you know who Zhong Min's wife is? Explain why. Do not be blind.

3. Interesting mathematical problems in ancient India

Ancient India also had a splendid culture like ancient China. The following is an interesting math problem in ancient Indian manuscripts.

There is a large swarm of bees, one fifth of which falls on azaleas and one third on gardenias. The difference between the two flew to the rose, and finally a little bee flew between the fragrant jasmine and magnolia. How many bees are there?

4. Apple IQ test

There are ten baskets of apples, each basket has ten apples, *** 100 apples. The apples in each basket weigh the same, of which 9 baskets weigh 1 kg, and the apples in the other basket weigh 0.9 kg, but the appearance is exactly the same, which can't be distinguished by eyes or hands. Now I want you to find the light basket at once with an ordinary big scale. Can you do it?

5. Primary challenges of Olympic mathematics in primary schools

Number the boxes, then take out an apple from the first box, two apples from the second box, three apples from the third box, and so on. Weigh all the apples taken out together. Less than 0. 1 indicates that the apples in the first box are light, less than 0.2 indicates that the apples in the second box are light, less than 0.3 indicates that the apples in the third box are light, and so on.

6, around your strange city problem

There is a strange city. There are good people and bad people living in cities. There is a man standing guard on the left and right of the city gate. One of them is a good man, and the other is a liar. Good people always tell the truth, and liars always tell lies. When a person arrives at this door, he forgets which side is a good person. If he asks the wrong person, he will go to the place where the liar lives and be cheated. what should he do ？

7. Little things in life that you may not know.

Here are two buckets for you. The capacity is 3 liters and 5 liters respectively, and there is a lot of water. How to accurately measure 4 liters of water?

Can you catch up with the farmer's IQ?

There are 50 people in the farmer's village, and everyone has a poultry at home. One day, the farmer came back and learned a news: the poultry in the village were infected. Villagers are required to observe the situation of poultry once a day, but everyone can only observe whether 49 poultry in other people's homes are sick, but they can't see their own poultry. When it is judged that one's own poultry is sick, the sick poultry must be shot in exchange for the survival of the whole village, but everyone has only the right to shoot his own poultry. On the first day, the farmer did not shoot; The next day, there were still no gunshots. On the third day, I heard gunshots. At this time, the farmers knew that there were several sick birds in the village. Excuse me, do you know how many?

9. The dog chasing the rabbit in the civil service exam.

The dog chased the rabbit, and the rabbit was 9 meters ahead of the dog. A dog runs five steps as far as a rabbit runs nine steps. But rabbits run fast. At the same time, the dog runs 2 steps and the rabbit runs 3 steps. How many meters can a dog catch up with a rabbit? What are you thinking about?

10. How to distribute gold bars to seven workers?

If you are the boss, let the workers work for you for 7 days, and the workers' reward is a gold bar. Gold bars are divided into seven consecutive sections, and you must give them a gold bar at the end of each day. Now you are only allowed to break gold bars twice. How do you pay your workers?

1 1, stumped a person's book puzzle.

The page number of a book is 1 to n. When adding the page number of this book, another page number was added by mistake. The total error is 2005. Then the page added once must be 52. Why?

12, a junior high school arithmetic problem that scares adults

In an election campaign, a candidate arranged a campaign trip in China. We might as well arrange him by plane. On the first day, he went to a place due east, the next day he flew to a place due north, the third day he flew to a place due west, the fourth day he flew to a place due south, and the fifth day he flew to a place due east? If his flight distance on the nth day is n2/2 miles, then the distance from his starting point to the end of the 40th day is _ _ _ _ _ _ _ miles.

13, the easiest simple question to make people feel big.

One train left Beijing for Guangzhou at a speed of 15 km/h, and another train left Guangzhou for Beijing at a speed of 20 km/h. If a bird leaves with two trains at a speed of 30 kilometers per hour, it starts from Beijing, meets another car, and then returns to fly in the opposite direction, so it flies back and forth between the two trains in turn until the two trains meet. How long did the bird fly?

14, intelligence test: where did that money go?

Three people paid 30 yuan's hotel fee, the manager took it back to 5 yuan, and the waiter hid 2 yuan from it and gave it to each person 1 yuan. In the evening, one of the passengers learned that the waiter had hidden 2 yuan's money, and he thought with his companions: each of the three people got back 1 yuan, which is 3? (10- 1), plus the waiter, 2 yuan is 29 yuan, but they gave it to 30 yuan! Do you know where 1 yuan went?

15, intelligence survey in small things in life

There is a pile of garbage, which is stipulated to be cleaned by three families. Zhang Hu can't attend because he is out, leaving 9 yuan money to do it for him. Wang Hu worked for five hours early in the morning, while Li Hu worked for four hours in the afternoon. Ask Wang Hu and Li Hu how to distribute the 9 yuan money.

16, stumped your simple problem

Nine wine bottle caps are buckled on the table, two at a time, neither more nor less. But there is no limit to the number of laps. How many times have you turned the lid on?

17, little ants test your great wisdom.

There is a thin wooden pole of 27 cm, and there is an ant at five positions of 3 cm, 7 cm, 1 1 cm, 17 cm and 23 cm. The wooden pole is too thin to pass two ants at the same time. At first, it was arbitrary for ants to turn their heads left or right. They will only move forward or turn around, not backward. When any two ants meet, they will turn around and walk in the opposite direction at the same time. Suppose ants can walk one centimeter per second. Q: What is the shortest and longest time for all ants to leave the wooden pole?

18, a simple interview question preferred by many famous enterprises.

Being good at discovering the similarities and differences and internal relations of things and discovering the development law of things are the basic qualities and conditions for doing any research work well. Please look for it. How similar are the following two figures? What is the difference?

19, the crash is the wrong one.

There are two obvious mistakes in the problem you see, but you may not see it at the moment. You need to look carefully. Don't sleep until you find it.

20. Three penguins will still trip you.

There are three penguins, front, middle and back, side by side on the same ice.

The first one said:? Two buddies behind me. ?

The last one said:? The two buddies in front of me. ?

Strangely, the one in the middle only said: back and forth, man! ?

Q: Why is this?

1, the preferred interview topic for multinational famous enterprises

Answer:

In the first step, Xiao Ming took his brother across the bridge, and it took Xiao Ming 4 seconds to come back.

In the second step, Xiaoming crossed the river with his father and his younger brother came back, which took 9 seconds.

The third step, mom and grandpa cross the river, and Xiaoming comes back, which takes 13 seconds;

Finally, Xiao Ming and his younger brother crossed the river in 4 seconds, with a total time of 30 seconds. How thrilling!

Have you thought of it? This kind of puzzle is actually to examine the ability of candidates to solve problems under restricted conditions. Many people often think that Xiao Ming should go into battle lightly, which saves the most time, but in the end he can't find a solution. On the other hand, we can decide who will come and go according to the specific situation, as long as we make some changes.

Let you do the first two big arithmetic problems.

Answer: Xiaolian

3. Interesting mathematical problems in ancient India

Answer: 15.

4. Apple IQ test

Answer: Number the boxes, then take out an apple in the first box, two apples in the second box, three apples in the third box, and so on. Weigh all the apples taken out together. Less than 0. 1 indicates that the apples in the first box are light, less than 0.2 indicates that the apples in the second box are light, less than 0.3 indicates that the apples in the third box are light, and so on.

5. Primary challenges of Olympic mathematics in primary schools

Answer: 6+(4/2)+(358/179) =10.

6, around your strange city problem

Answer: say to one of the people on guard: If I ask the man opposite, which way should I go, what will he tell me? Then ask another person the same thing.

7. Little things in life that you may not know.

Answer: 3 liters full, pour into 5 liters barrel (5 liters barrel has 2 liters space); Fill another 3 liters, and the 5-liter bucket is full, so there is 1 liter left in the 3-liter bucket; Pour out all the water in the 5-liter barrel, and pour 1 liter in the 3-liter barrel into the 5-liter barrel; Fill a 3-liter bucket and pour it into a 5-liter bucket to get 4 liters.

Can you catch up with the farmer's IQ?

Answer: If there is only 1 animal, the owner of poultry will know that his family is sick when he sees that the other 49 dogs are not sick on the first day, so there will be gunshots on the first day. If there are two sick birds, the owners are A and B, and there is no gunshot on the first day. The next day, A will think like this: If my poultry is not sick, then the 49 poultry that B saw yesterday are all normal dogs, and he will know that his domestic poultry is sick and shoot. Why didn't he shoot? This means that he saw that my poultry was sick. So a will shoot the next day. Of course, in the same way, B will do it the next day. The actual situation is that gunshots appeared on the third day, so according to the above reasoning: there must be three sick dogs.

9. The dog chasing the rabbit in the civil service exam.

Answer: 54

10. How to distribute gold bars to seven workers?

Answer: If it is broken twice, it will be divided into three parts. I divided the gold bars into three parts: 1/7, 2/7 and 4/7. In this way, I can give it to him on 1 that day1/7; The next day, I gave him 2/7 to get back1/7; On the third day, I will give him 1/7, plus the original 2/7 is 3/7; On the fourth day, I gave him 4/7 gold bars and asked him to find out 1/7 and 2/7 gold bars. On the fifth day, give him1/7; The sixth day is the same as the second day; 1/7 restored him on the 7th day.

1 1, stumped a person's book puzzle.

Answer:1+2+...+n = n (n+1)/21+2 ...+61=1891,adding any number can't be 20. 2005 & LT20162005-1953 = 52

12, a junior high school arithmetic problem that scares adults

Answer: Draw a road map first, and you can find that the route this person takes is similar to a snail's shell, and the final destination must be in the southwest of the starting point, so you can use Pythagorean theorem to calculate this distance. If you draw the distance of three circles (12 times) first, you can find the law: if the distance from the end point to the start point of the third circle is Pythagorean theorem, then the length of the horizontal right-angled side is 1 circle+second circle+third circle. That is, (3rd journey -65438+ 0th journey)+(7th journey-5th journey) +( 165438+ 0th journey-9th journey), vertically, the total journey is (4th journey-2nd journey)+(8th journey-6th journey). Then, by analogy, to complete 40 trips, it needs to be added to (the 39th trip-the 37th trip) and (the 40th trip-the 38th trip) respectively. Because the nth distance is n 2/2, the lateral right-angle side length is1/2 (3 2-12+7 2-5 2+12-9 2+? +39 2-37 2), and the length of the vertical right angle is1/2 (4 2-2 2+8 2-6 2+? +40^2-38^2)。 I haven't studied series in junior high school, so I have to calculate this pile myself. But there is a rule that the number of each item is more than the previous one 16, and both right angles are the same. I have calculated for you that the length of the horizontal right-angled side is 400, the length of the vertical right-angled side is 420, and the length of the hypotenuse (that is, the distance from the starting point to the end point) is 580 (miles).

13, the easiest simple question to make people feel big.

Answer: 6/7 the distance from Beijing to Guangzhou.

14, intelligence test: where did that money go?

Answer: Actually, this question is very simple, because the conditions that the three passengers will consider are confused. In fact, the boss took 25 yuan and the waiter hid 2 yuan, and each passenger received 1 yuan, which means that 25+2+ 1 * 3 = 30 is exactly 30 yuan.

15, intelligence survey in small things in life

Answer: We can't simply think that Wang Hu matches 5 yuan and Li Hu matches 4 yuan. It is often wrong to take it for granted without analysis. You know, Wang He and Li have their own tasks besides helping Zhang outdoors. Obviously, the workload of each household is three hours. Wang helped zhangqian for 2 hours, Li Bangzhang 1 hour. Wang Bangzhang's workload is twice that of Li, and of course he should be paid twice as much. Therefore, Wang deserves 6 yuan and Li deserves 3 yuan.

16, stumped your simple problem

Answer: There is no solution to this question. Because there are only three possibilities for turning two caps at a time: first, turning two buckled caps at a time will increase the number of upward caps by two, that is, even numbers; Second, turn a button up and then turn a button down, so as not to change the odd-even number of the upward bottle cap or keep an even number; Thirdly, the two upward bottle caps are turned down, so that the number of upward bottle caps is reduced by two, and the upward number remains even. Therefore, no matter which turning method is adopted during the period, the situation that the number of upward bottle caps is even cannot be changed, so there is no solution to this problem.

17, little ants test your great wisdom.

Answer: at least 1 1 sec, and at most 24 sec.

18, a simple interview question preferred by many famous enterprises.

Answer: At first glance, it seems that there are only differences but no similarities. In fact, as long as you are good at searching, there are still many similarities, which is very useful ability training. Here are a few examples: ① All Arabic numerals; ② All four digits; ③ All positive numbers; ④ All integers; ⑤ The difference between two adjacent numbers is equal.

19, the crash is the wrong one.

Answer: The two mistakes are: ① In the topic? Looking for what? Behind. 2 inches? The back is obvious. If you want the crime you committed. A mistake? You can't find it, all you can find is? A mistake? Two words.

20. Three penguins will still trip you.

Answer 1: The penguin in the middle is lying on the ground, so there are no brothers around! There will be nothing around except one on the head and one on the foot.

Answer 2: On a line, the front and back face the same direction, and the middle side.