Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -


  • Please log in to reply
10 replies to this topic

#1 Drexlin

Drexlin

    Junior Member

  • Members
  • PipPip
  • 64 posts

Posted 03 June 2010 - 04:20 PM

Our good friend and numerologist, Professor Euclide Paracelso Bombasto Umbugio, has been busily engaged in testing on his desk calculator the 81x109 possible solutions to the problem of reconstrucing the following exact long division in which the digits were indiscriminately replaced by X save in the quotient where they were almost entirely omitted:

problem27.PNG

Deflate the Professor! That is, reduce the possibilities to (81x109)0.
Because any number raised to the power of zero is one, the reader's task is to discover the unique reconstruction of the problem. The 8 is in the correct position above the line, making it the third digit of a five-digit answer. The problem is easier than it looks, yielding readily to a few elementary insights.
  • 0

#2 DeeGee

DeeGee

    Advanced Member

  • Members
  • PipPipPip
  • 358 posts

Posted 03 June 2010 - 05:25 PM

Spoiler for I think

  • 0

#3 kaaadu

kaaadu

    Newbie

  • Members
  • Pip
  • 1 posts

Posted 03 June 2010 - 05:55 PM

Spoiler for Is it this?

  • 0

#4 donjar

donjar

    Junior Member

  • Members
  • PipPip
  • 97 posts

Posted 03 June 2010 - 06:36 PM

Long division takes me back to my school days.

When we have to drop down a second digit to continue the division, that gives us a zero in the answer. I started with this and came up with the following answer:

Spoiler for The answer



:):):):)
  • 0

#5 openerbat

openerbat

    Newbie

  • Members
  • Pip
  • 4 posts

Posted 03 June 2010 - 10:01 PM

later...

Edited by openerbat, 03 June 2010 - 10:05 PM.

  • 0

#6 openerbat

openerbat

    Newbie

  • Members
  • Pip
  • 4 posts

Posted 03 June 2010 - 10:09 PM

Spoiler for one possible solution-


Donjar's and a few other's reply is also correct. And so is mine, I think. Since the puzzle states to find an unique answer, not sure if that's correct?
  • 0

#7 alexandra

alexandra

    Newbie

  • Members
  • Pip
  • 1 posts

Posted 03 June 2010 - 11:03 PM

Openerbat, unfortunately your answer, while mathematically correct, cannot be the unique solution for this problem.

Spoiler for The problem

  • 0

#8 JTZero

JTZero

    Junior Member

  • Members
  • PipPip
  • 73 posts

Posted 04 June 2010 - 02:57 AM

Spoiler for

  • 0

#9 Themax

Themax

    Newbie

  • Members
  • Pip
  • 1 posts

Posted 04 June 2010 - 04:11 AM

There is only one answer. This is one of the best quick math puzzles I have ever seen. Thanks for making my evening.
  • 0

#10 marsupialsoup

marsupialsoup

    Junior Member

  • Members
  • PipPip
  • 22 posts

Posted 06 June 2010 - 12:05 AM

Only one solution for the divisor is possible, here is why,

Spoiler for Looking at the long division

Edited by marsupialsoup, 06 June 2010 - 12:09 AM.

  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users