What does this three-dimensional pyramid look like when viewed from above?
The essence of the puzzle: You need to think spatially and determine the projection of this 3D pyramid when viewed from above.
You can’t do it without thinking abstractly
By and large, there’s nothing difficult about this task. It is only important to use your wits and active imagination.
You have been shrunk to the size of a nickel and thrown into a blender
You were reduced to the size of a 5 cent coin and thrown into a blender. Your weight has decreased so that your body density remains the same. The blades will spin in 60 seconds. Your actions?
This is a classic google puzzle, a good analysis of which is not easy to find on the runet. We have prepared it for you, but first we want you to ponder the solution yourself. There is no absolute right answer, but there are some that are clearly better than the rest.
Complete Apple WWDC | Steve Jobs talk and answer developers questions | 1997
Let’s start by classifying the most popular answers, then talk about the one that’s considered the best among interviewers at Google.
Many applicants give one amusing answer: “Since the blender will be turned on very soon, one can assume that some food will be put in it, and therefore I might rather put my neck under the blade than suffocate because of the fumes of the slurry that will soon appear in the blender“. If we talk about the frequently encountered serious answers, the leaders are.
First. Lay down as tight to the bottom as possible so the blades are spinning above me.
Second. Stand on the side of the blender where the blades are attached. There may be a nickel-width gap between the wall and the attachment device.
Third. Climb the blade on the axis of rotation and find a place where you can keep your balance as the blades rotate. Grab on tight. The resulting centripetal force in this case will be close to zero, which will keep.
The first three options give some chance of survival, but what if the blades take a long time to spin? Or the design is such that you still get caught by the tip? And anyway, if you think about it, who threw you into the blender and why? If these are some hostile creatures who are going to make gravy out of humans, your long term chances of survival will be very slim under either scenario.
Here are the standard interviewer answers to clarifying questions: “Don’t worry about hostile creatures.”. “No liquid will be added.”. “The blender has no lid.”. “Proceed on the assumption that the blades will rotate until you are dead.”.
The fourth approach is different. you have to get out. The interviewer will ask how you will do it. One of the most striking answers was that, with very little weight, you could climb the wall about the same way flies do.
The fifth, not the most optimistic, option is to use the phone and call or send an SMS for help. Here it all depends on whether your phone has also shrunk, whether it can work with the base station (which remains the same) and how fast the emergency services will respond (and whether at all?).
Option six: Tear clothes into strips to make a rope and use it to get out. But is it realistic to do it in one minute? How to attach the rope from the top? And even if that succeeds, how do you get down afterwards??
There’s also a seventh: use your clothes and your own efforts to somehow block (or even break) the blades or motor operation. But here, too, there can be problems.
None of the answers listed will get you many points on Google. Interviewers told me that the best answer they heard was this: jump out of a blender.
Wow? The question gives an important clue-the word “density.”. This clue suggests that weight and body volume are important (and other “unrealities” can be ignored) and that the appropriate answer should be based on the simplest laws of physics.
In short: The interviewer wants you to focus on the implications of the change in size. You have probably heard that an ant is capable of lifting 50 times its body weight. This is not because his muscles are better than a human’s, but because the ant is small. The weight of any living thing is proportional to the cube of its height. The strength of the muscles and the skeleton that supports them depends on their cross-sectional area, which is proportional to the square of the height. If you were reduced to 1/10 of your height, your muscle strength would decrease a hundred times, but your weight would decrease even more, a thousand times. Other things being equal, small creatures are “stronger.”.
In the mid-1600s, Giovanni Alfonso Borelli, a contemporary of Galileo, suggested that anything that jumps goes up to about the same height. Think about it carefully. If you’re physically fit, you can probably bounce about 70 centimetres. This height is no barrier to other living things: a horse, rabbit, frog, grasshopper, or flea. Of course, there are variations, but the general rule is this: the coolest NBA basketball players can raise their center of gravity to about the same height as a flea.
Muscle energy is ultimately determined by chemical processes: glucose and hydrogen circulating in the blood, as well as ATP available in muscle cells. The amount of any chem. substances in proportion to your body volume t.е. if you shrink to 1/n your size, then your muscle energy will be reduced by a factor of n³.
Fortunately, the weight will decrease in the same way. So at the size of a dime, the height of your jump (if you don’t take air resistance into account) will not change in any way. The height of the blender is about 30 cm. If you can jump over an obstacle of that height now, getting away from the blender won’t be a problem for you.
You may ask, how could you fall from such a height and not break your bones?? The surface area you now occupy will be 1/n² compared to you normally, and your weight will decrease even more, to 1/n³ of the former. The surface area to weight ratio will increase by a factor of n, so when you land, you won’t have any damage. This explains why any creature the size of a mouse or less can go undisturbed and fall from any height.
Incorrect solutions to the problem
If our hero has chosen one of the following options, we have bad news for him!
“Climb the measuring scale like a ladder.”
A successful option that works along the same lines as the correct answer. Your height and weight have decreased, but your density has not. ideal conditions that will help you use dimensional values as stepping stones. But what if the measuring marks are not on the inside of the blender, but on the outside wall of the blender? Apparently, look for another answer, since this one fails.
“I’ll climb to the top of the axis of rotation and wait there.”
It’s another bad one. Perhaps, the author of the answer thought that this is an ideal solution, because at this point the centrifugal force of the rotational vibrations will be equal to zero. However, we don’t know how long the blender will last.
“I will stand at the axis of rotation, where the blades are fastened.”
You may also think that it is better to stand at the axis where the blades are mounted. But we must disappoint you: this is one of the worst options. The blender should be unusable if it leaves certain parts of the vessel intact.
“I will tear my clothes into strips, make a rope out of them, and escape.”
Don’t be in a hurry to tear your shirt, this option is also unsuccessful. Most likely, your interlocutor will catch you on the fact that even before you have time to weave a rope, the blender will disband not only with your clothes, but also with you. Plus, you might not be able to secure the rope to the top. And even if you manage to climb up the rope with the help of some tricks, how about coming down from the dangerous blender?
“I’ll break the blades or the mechanism of the blender.”
Unfortunately, it is also not one of the best options, even if you regularly go to the gym. It is better not to waste your energy on this option, because, most likely, it will also turn out to be a failure because of the sharp blades.
You were shrunk and thrown into a blender. What’s the answer to the riddle??
There are many legends about Steve Jobs in the Internet, one of the topics is the riddles he asked at different times and circumstances, here is one of them, which had to be solved by the candidates for the job. There are a lot of different texts on the web, but somehow I’m more inclined to this option.
Steve Jobs‘s mystery of the blender: did people really get fired over it??!
Steve Jobs: We don’t ship junk, HD version
According to one legend, this riddle was used by Steve Jobs to torture job applicants for his company. For another, the Apple CEO used this very puzzle to determine which of his employees to fire during the crisis years.
“What will you do if you were reduced to the size of a 5-cent coin and thrown into a blender?? Keep in mind that the blender will turn off in 30 seconds.
Genius Jobs did not ask people for a flaming answer, but asked for a quick, logical and, of course, correct.
There are 4 variants of the connection that are considered correct:
“Wistribnu from the blender before it works”. “I will lie down to the bottom, so that the knife’s blade will wrap over me”. “I get to the top of the wraparound axis, and the work of the blender is crossed there”. “Forking over the wall with the help of the millimeter scale. it serves as a drabine.”
In terms of physics, it should be viewed as follows: the weight of the metal is proportional to the cube of its height, and the force of the pulp and skeleton is proportional to the square of the height. So, if you decrease the size of the man by 10 times, the power of his muscles will decrease by 100 times, and the weight. by 1000. Therefore, the conclusion. a person of usual brilliance and the size of a coin (as, for example, a flea) without problems shear uphill to 70 centimeters. No blender will be dependent on this cognition.
Steve Jobs’ blender riddle and the 30-second correct answer
Today Apple, founded by Steve Jobs, is one of the most expensive companies in the world and is considered the standard of success. But it was not always like that. The global brand began to suffer losses, and the shareholders, who kicked the creator out of the organization, decided to bring him back. He was the one who gave Apple a second life. The basis of its methodology for overcoming the crisis was a new personnel policy of rigorous selection of employees and layoffs. To separate the wheat from the chaff he helped a peculiar riddle about a blender, which gained popularity among the inhabitants of the Internet. He asked his employees their terms, and if they did not get an answer in 30 seconds, he fired the sluggish people. Strange as it may seem, the method worked: the company went uphill and reached unprecedented heights. Let’s see if we’re made of sand: let’s guess the five-year plan in four years!
RESPONSE I will jump out of the blender before it turns on.
This answer is considered the BEST answer because it uses the physical condition of the problem “your weight has decreased, but your density is the same”.
LOGIC: A creature’s weight is proportional to the cube of its height. Muscle and skeletal strength is proportional to the square of the height. If you were reduced to 1/10 of your height, your muscle strength would decrease a hundredfold, but your weight would decrease even more, a thousandfold. All other things being equal, small creatures are “stronger.”. Smaller size (reduced) = very light body.
Large body and muscle density (kept) = very strong body.
You may have heard that an ant is capable of lifting 50 times its body weight. This is not because an ant is stronger than a human, but because it is smaller.
In the mid-1600s, Giovanni Alfonso Borelli, a contemporary of Galileo, suggested that anything that jumps goes up to about the same height. Think hard about it. If you are physically fit, you can probably jump about 70 centimeters. This height is not an obstacle for other living creatures: a horse, a rabbit, a frog, a grasshopper or a flea. Of course, there are variations, but the general rule is this: the toughest NBA basketball players can raise their center of gravity to about the same height as a flea.
A blender is usually less than 70 cm, so if you shrink a person while maintaining their density, they can jump over it like a flea.
A classic problem that travels the Internet is as follows:
An ordinary, unremarkable man was reduced to the size of a coin and then thrown into a blender. The weight of the body has become much smaller, but the density has remained the same. After a minute the blades of the device will be in motion. How to survive in this situation?
It is believed that this was one of the questions Steve Jobs asked his future employees who were going to join his corporation.
Many people want to get in with Apple, but only a few can do it. The interesting thing is that if you have once been rejected for an internship with this company, you will not get a second chance. You’ll be blacklisted for the rest of your life.
If you are lucky enough to get into the company, the first thing you have to do is to put two folders in front of the applicant. Yes and No. There are only four sheets of paper in the first one, describing everything that can be done. The second one’s 400 pages long. But there is a rule: if you can prove that your idea will work, you will be given everything you need to implement it.
But working conditions at Apple can be described as hellish. There are almost no days off here, Sunday evening is working time, because you have to prepare reports for the Monday briefing.
They’re strict about confidentiality. Information that leaks out to the masses is carefully filtered. Even garbage cans have security cameras. Employees are strictly forbidden to discuss work with family. Even between project teams, information is not disclosed. Those who don’t agree to abide by this rule are forgiven.
Apple is total control and unthinkable turnover. But the fact that you were involved, even briefly, is a great advantage.
Now for the riddle. This is a true legend that walks in the world of managers. Steve Jobs used to fire employees if they couldn’t answer correctly. Here it is:
Steve Jobs Insult Response. Highest Quality
You have been reduced to the size of a 5 cent coin and thrown into a blender. It’ll be on in 30 seconds. Your actions?
- I can jump out of the blender before it starts.
- I’m gonna lay low and hold on tight so the blades don’t hurt.
- I’ll climb to the top of the axle and wait for the blender to stop.
- I’ll climb the wall, climbing the milliliter scale like a ladder.
Because it’s basic physics. Must take into account the average length of the blender and your new height and weight.