Earlier quoted context omitted.
If you provide a sufficient lip on the hole such that the minimum side is larger than any of the four diagonals it would work.
Indeed, though to do it this way would be very wasteful of resources as the ratio of the manhole size to the size of the cover wouldn't be maximized. The cover would be needlessly covering a lip whose large size only exists because of the poor choice of shape.
If Richard Feynman applied for a job at Microsoft (2002)
51–60 of 220 posts
Re: If Richard Feynman applied for a job at Microsoft (2002)
#52Earlier quoted context omitted.
You were supposed to expect them to fail his interview because he didn't give the "right" answer (manhole covers are round so they can't fall in the hole). Instead, he completely disagreed with the "right" answer, but did so in a way that was incredibly convincing. So, they decided his primary value was not in his intellect (leading him to a job in engineering), but in his ability to convince people of things (leadin…
I did follow the "intended" vs. "right" subtext right until the punchline. I also at no point got the impression that this fictional Feynman was very convincing, charming or anything like that. Just a bit of a talky wise-ass, really. Obviously he knows his stuff, but he's not direct enough to just say that outright, he tries to lord his intellect over the interviewer. So I really wasn't sure what the punchline ("let'…
Re: If Richard Feynman applied for a job at Microsoft (2002)
#53Earlier quoted context omitted.
Does anything beat just pressing the buttons in order?
This is essentially the Monty Hall problem. First choice is 1/3d to be correct, if this choice is wrong, then change, because you will now improve your odds to be 1/2
Re: If Richard Feynman applied for a job at Microsoft (2002)
#54Earlier quoted context omitted.
I really think the answer for all of those kinds of questions should be "I'd use Google to find the answer". I mean who would try and solve a problem like that without searching for a solution first? Edit: http://mathpuzzlewiki.com/index.php/Soda_machine
If you're being interviewed for a job at Microsoft the answer should be "I'd use Bing to find the answer."
Re: If Richard Feynman applied for a job at Microsoft (2002)
#55In the same vein: The Barometer Question and Calandra's account https://en.m.wikipedia.org/wiki/Barometer_question
The original PDF is at https://www.unz.com/PDF/PERIODICAL/SaturdayRev-1968dec21/62/, which is includes a nice drawing of the student speaking with a building superintendent while holding a barometer, but to say more would be to spoil the punchline. Here is the text:
> Angels on a Pin By ALEXANDER CALANDRA
SOME time ago, I received a call from a colleague who asked if I would be the referee on the grading of an examination question. He was about to give a student a zero for his answer to a physics question, while the student claimed he should receive a perfect score and would if the system were not set up against the student. The instructor and the student agreed to submit this to an impartial arbiter, and I was selected.
I went to my colleague’s office and read the examination question: “Show how it is possible to determine the height of a tall building with the aid of a barometer.”
The student had answered: “Take the barometer to the top of the building, attach a long rope to it, lower the barometer to the street, and then bring it up, measuring the length of the rope. The length of the rope is the height of the building.”
I pointed out that the student really had a strong case for full credit, since he had answered the question completely and correctly. On the other hand, if full credit were given, it could well contribute to a high grade for the student in his physics course. A high grade is supposed to certify competence in physics, but the answer did not confirm this. I suggested that the student have another try at answering the question. I was not surprised that my colleague agreed, but I was surprised that the student did.
I gave the student six minutes to answer the question, with the warning that his answer should show some know- ledge of physics. At the end of five minutes, he had not written anything. I asked if he wished to give up, but he said no. He had many answers to this problem; he was just thinking of the best one. I excused myself for interrupting him, and asked him to please go on. In the next minute, he dashed off his answer which read:
“Take the barometer to the top of the building and lean over the edge of the roof. Drop the barometer. timing its fall with a stopwatch. Then, using the formula S=1/2at^2, calculate the height of the building.”
At this point, I asked my colleague if he would give up. He conceded, and I gave the student almost full credit.
In leaving my colleague’s office, I recalled that the student had said he had other answers to the problem, so I asked him what they were. “Oh, yes,” said the student. “There are many ways of getting the height of a tall building with the aid of a barometer. For example, you could take the barometer out on a sunny day and measure the height of the barometer, the length of its shadow, and the length of the shadow of the building, and by the use of a simple proportion, determine the height of the building.”
“Fine,” I said. “And the others?”
“Yes,” said the student. “There is a very basic measurement method that you will like. In this method, you take the barometer and begin to walk up the stairs, As you climb the stairs, you mark off the length of the barometer along the wall. You then count the number of marks, and this will give you the height of the building in barometer units. A very direct method.
“Of course, if you want a more sophisticated method, you can tie the barometer to the end of a string, swing it as a pendulum, and determine the value of ‘g’ at the street level and at the top of the building. From the difference between the two values of ‘g,’ the height of the building can, in principle, be calculated.”
Finally he concluded, there are many other ways of solving the problem, “Probably the best,” he said, “is to take the barometer to the basement and knock on the superintendent's door, When the superintendent answers, you speak to him as follows: “Mr. Superintendent, here I have a fine barometer, if you will tell me the height of this building, I will give you this barometer.’”
At this point, I asked the student if he really did not know the conventional answer to this question. He admitted that he did, but said that he was fed up with high school and college instructors trying to teach him how to think, to use the “scientific method,” and to explore the deep inner logic of the subject in a pedantic way, as is often done in the new mathematics, rather than teaching him the structure of the subject. With this in mind, he decided to revive scholasticism as an academic lark to challenge the Sputnik-panicked classrooms of America.
Re: If Richard Feynman applied for a job at Microsoft (2002)
#56Re: If Richard Feynman applied for a job at Microsoft (2002)
#57Earlier quoted context omitted.
This is essentially the Monty Hall problem. First choice is 1/3d to be correct, if this choice is wrong, then change, because you will now improve your odds to be 1/2
No, you an apply more reasoning to it up front. If "none of them are correct" then you press 'surprise' first, and you either get the drink you wanted that time, or on your next guess.
Re: If Richard Feynman applied for a job at Microsoft (2002)
#58Re: If Richard Feynman applied for a job at Microsoft (2002)
#59Re: If Richard Feynman applied for a job at Microsoft (2002)
#60Earlier quoted context omitted.
When I worked there in the early 2000's I had a friend of a friend whose fiancée graduated with a bachelor's degree in either CS or EE and applied for a developer position. Somehow, and I struggle to understand the mechanics of this because engineering was highly compartmentalized away from the "business" parts of the business, they managed to turn her down for an engineering role and got her a job in marketing. Also…
Does anything beat just pressing the buttons in order?