[HN Gopher] Ridiculous Math Problems
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       Ridiculous Math Problems
        
       Author : martinlaz
       Score  : 162 points
       Date   : 2020-07-05 15:10 UTC (7 hours ago)
        
 (HTM) web link (www.dam.brown.edu)
 (TXT) w3m dump (www.dam.brown.edu)
        
       | godelski wrote:
       | For more ridiculous math problems I want to submit: _The Jewish
       | Problems_ [0].
       | 
       | These were used when Jewish people were trying to get into grad
       | school in Russia in the '70's. Basically designed so Jewish
       | people wouldn't get in.
       | 
       | [0] https://arxiv.org/abs/1110.1556
        
         | IncRnd wrote:
         | The interesting part of thost problems is that once you learn
         | how to answer one, you can answer almost all of them. Of
         | course, that was the issue, the answer wouldn't be accepted. It
         | was a shame these problems were used in that manner.
        
           | saagarjha wrote:
           | > The interesting part of thost problems is that once you
           | learn how to answer one, you can answer almost all of them.
           | 
           | I can't see how that would be true. How would you get the
           | solutions to the others by knowing how to do one of them?
        
         | agumonkey wrote:
         | Did this cause a toxin like stimulation making jewish students
         | better because they tried to reach impossible goals ?
         | 
         | It happened in music a few times.. people invented techniques
         | and subgenres because they tried impossible things or had below
         | useful instruments.
        
           | hintymad wrote:
           | I doubt it. Those problems are close to impossible to solve
           | for ordinary students, therefore many talented but not
           | necessarily genius students lost the opportunity to get good
           | education. I'm a firm believer that students need to be
           | pushed to stay in their discomfort zone, but Jewish Problems
           | can easily push most students into panic zone.
        
           | sukilot wrote:
           | When the impossible goal is to solve a 10x hard problem in 1x
           | time live during an oral exam, no. But it did have a filter
           | effect, so that the Jewish students who did pass the entrance
           | test were much higher ability than their average peers.
        
         | gmantg wrote:
         | These days Harward denies entry to Jews based on quotas.
        
         | saagarjha wrote:
         | These seemed like fairly decent problems to put on a
         | mathematics competition...
        
       | mike00632 wrote:
       | Reminds me of the cute banana, apple, pineapple math challenge
       | that is actually an elliptic curve.
       | 
       | https://www.quora.com/How-do-you-find-the-positive-integer-s...
        
       | murgindrag wrote:
       | There's a difference between a ridiculous math programs (which
       | are often amusing) and incorrect ones (for example, adding
       | different units, or absolute units rather than relative ones).
       | 
       | The article mixes the two.
       | 
       | One type is funny and clever.
       | 
       | The other type reinforces misconceptions and is damaging to
       | students.
        
       | dan-robertson wrote:
       | A ridiculous problem I remember seeing was approximately this
       | one:                 a/(b+c) + b/(a+c) + c/(a+b)=896.       a,b,c
       | positive integers
       | 
       | I think it probably used random symbols instead of letters and
       | didn't have the integer requirement. Indeed if you allow real
       | numbers or 0 then it is easy to find a solution. I think it
       | didn't go particularly viral because it was too hard. I think
       | there's a slightly easier version if you replace 896 by 16.
        
         | contravariant wrote:
         | The version I first saw used '4' instead of '896'. Which
         | frankly made the answer large enough that no reasonable amount
         | of brute force could find it.
         | 
         | A good write up can be found here: https://www.quora.com/How-
         | do-you-find-the-positive-integer-s...
        
           | IanCal wrote:
           | That is _fascinating_ thank you, and a great lead into some
           | more advanced topics.
        
           | kens wrote:
           | That is an amazing, detailed explanation. (Don't be fooled by
           | the quora location.) Spoilers: the solution to the equation
           | is 80-digit numbers, which can be obtained by using elliptic
           | curves, which the link explains in detail.
        
       | raister wrote:
       | "If a ship has 26 sheep and 10 goats on board, how old is the
       | ship's captain?"
       | 
       | oh boy
        
       | foolfoolz wrote:
       | the math equivalent of a dumb programming interview question
        
         | adrianmonk wrote:
         | The similarity extends to the part where the real motivation
         | for asking is to make the person asking look smart.
        
       | arkitaip wrote:
       | This reminds me of the riddle by the good soldier Svejk:
       | 
       | -----
       | 
       | "Would you know how to calculate the diameter of the globe?"
       | 
       | "No, I'm afraid I wouldn't," answered Svejk, "but I'd like to ask
       | you a riddle myself, gentlemen. Take a three-storied house, with
       | eight windows on each floor. On the roof there are two dormer
       | windows and two chimneys. On every floor there are two tenants.
       | And now, tell me, gentlemen, in which year the house-porter's
       | grandmother died?"
       | 
       | -----
       | 
       | https://english.radio.cz/good-soldier-svejk-a-literary-chara...
        
         | gweinberg wrote:
         | I'm guessing it's a trick question and she's still alive.
        
       | [deleted]
        
       | Quekid5 wrote:
       | My personal favorite along these lines are the Busy Beaver
       | numbers. It's not just huge... it's actually impossible to
       | calculate (beyond very low inputs).
        
         | saagarjha wrote:
         | Impossible to _compute_ , only feasible to calculate for the
         | first few.
        
       | praptak wrote:
       | My math teacher used to give us silly problems like how long will
       | it take the raising water level to reach the top step of a ladder
       | hanging down from a ship. It trained us not to apply formulas
       | blindly.
        
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