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The world's top 500 classic interview questions [six questions]
1, there are 13 parts, the appearance is exactly the same, but one part is unqualified, the weight is different from others, and the weight is unknown. Please weigh it three times with the balance and find it.
First, put four parts on each side of the balance.
First, if it is balanced, it means that the other five are bad. Take out three good ones and put them on the left side of the balance, then take out three bad ones and put them on the right side of the balance (if it is unbalanced, remember whether the right side is high or low at this time. High means that the bad part is lighter than the good part, and vice versa.
Anti).
1) If the balance is balanced, the bad ones are in the remaining two. Take 1 as a good one, and the answer is obvious. 2. If the balance is unbalanced, the bad is between the three. Take out two at random and put them at both ends of the balance. If it is balanced, the answer is obvious. If it is not balanced, you can judge whether the parts are light or heavy according to (1), and the answer is obvious.
Second, if the balance is unbalanced, it means that the bad ones are in eight. At this time, remember which side is light and which side is heavy. Then put five qualified ones at the left end of the balance, and take two light ones and three heavy ones at the right end.
1) If the balance is balanced, take the remaining two light ends and put them at both ends of the balance. If it is balanced, the answer is obvious. If it is not balanced, it means that the bad ones are in these two, and the bad ones are lighter, because they are taken out from the lighter end.
2) If the right end is low, the bad part is in the triple part, and the bad part is heavier. We'll know the answer after weighing it again. If the right end is high, it means that the bad one is lighter and the bad one is lighter. The answer is obvious.
2.65438 +0 ~ 50 athletes line up in turn. The coach ordered, "Odd athletes get out!" The rest of the athletes lined up again. The coach ordered again: "Odd athletes get out!" At this rate, there is only one person left in the end. What's his date? If the coach's order is "even the athletes get out!" Who's the last one left?
Odd dequeues leave the number 32, and even dequeues leave the number 1.
1) dequeued for the first time,1/3/5/7/9/113/15/17//kloc-.
The rest are 2/4/6/8/10/12/14/16/18/20/22/2/26, ... /50.
2) The second odd number is 2/6/10/14/18/22/26/30/34/38/42/46/50, and the rest is 4/8/12.
3) The third odd number is 4/ 12/20/28/36/44, and the rest is 8/ 16/24/32/40/48.
4) The fourth odd number is 8/24/40, and the rest is 16/32/48.
5) The fifth odd number is 16/48, and the rest is 32.
If the coach's order is "even the athletes get out!" The last thing left is 1.
Criminals who are found guilty will be executed. The executioner said to the condemned man, "Do you know how I am going to execute you? You guessed right, I can make you die quickly and give you a bullet. I'm sorry if you guessed wrong. Please taste the gallows. " The executioner thought, "Anyway, I have the final say, saying that you are right, and saying that you are wrong is wrong." Unexpectedly, because of the clever answer of the condemned man, the executioner could not execute the death penalty, and the condemned man was able to escape. What did the condemned man say?
Answer: The person sentenced to death said, "I want to be hanged." This is a wrong answer. If the executioner is wrong, the prisoner will be hanged and the prisoner is right. When the executioner is right, the prisoner is shot, and the prisoner is wrong.
4. Once upon a time, there was a very rich family. Just as the whole family was happy for the arrival of the newborn, the husband suddenly got an incurable disease. Leaving a will before dying: "If it is a boy, the wife and son will each get half of the property." . If it is a girl, the girl gets one-third of the property and the rest goes to the wife. "Shortly after her husband's death, his wife will give birth. Unexpectedly, my wife gave birth to a boy and a girl twins! Now the wife is in a dilemma. How should this property be divided?
A: Inherit according to law.
The husband's will is conditional, but its conditions have not been fulfilled, so it should not be inherited according to the will, but should be inherited according to the law: half of the family property should be given to the wife first (joint property of husband and wife), and the remaining half should be inherited equally by the wife and a pair of children. That is, the wife gets two-thirds of the property and the children get one-sixth of the property.
There are two closed small railway stations. The trains from Station A to bilibili are always more than those from bilibili. After a long time, will all the trains be concentrated in bilibili?
Answer: No, because there are more cars in bilibili than in Station A!
6. 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.
Reference answer: This puzzle is actually to examine the ability of candidates to solve problems under restricted conditions. Specific to this topic, 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. But in another way of thinking, we can decide who will come and go according to the specific situation, as long as we make some slight changes: the first step, Xiaoming crosses the bridge with his brother and Xiaoming comes back, which takes 4 seconds; 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, Xiaoming and his younger brother crossed the river, which took a total of 4 seconds and 30 minutes. How thrilling!
Expert's point of view: This kind of topic often appears in the recruitment interview of multinational enterprises, which plays an extremely obvious role in examining a person's thinking mode and ability to change thinking mode. According to some studies, this ability is often closely related to the tension and innovation at work. Therefore, when answering these questions, we must break through the mindset, try our best to consider the problem from different angles, constantly think backwards and empathize, and connect the question with the familiar scene to avoid confusion.
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