Fun math!
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Fun math!
A few math problems for the Asylum...
Quite the challenge, I see people plowing through all sorts of math with Wrath just around the corner, and a bunch of theorycrafting. So I thought, why not share some math fun ^^
First problem.
Figure out what division problem was worked:
(Each X represents a digit – not necessarily the same digit – none of the numbers “start” with 0)
Second Problem.
Each of the following letters stands for a different digit (no zeros were used). Find the two possible values for E:
Quite the challenge, I see people plowing through all sorts of math with Wrath just around the corner, and a bunch of theorycrafting. So I thought, why not share some math fun ^^
First problem.
Figure out what division problem was worked:
(Each X represents a digit – not necessarily the same digit – none of the numbers “start” with 0)
Second Problem.
Each of the following letters stands for a different digit (no zeros were used). Find the two possible values for E:
 Riss
 Posts: 22
 Joined: Sun Mar 02, 2008 9:52 pm
The first problem doesn't make sense as written, are there supposed to be other X's surrounding the 8?
WHAT WOULD BEST DESCRIBE YOUR PERSONALITY?
Moonlight Sonata Techno Remix
Scriggle  85 Fire Mage
Fizzmore  81 Mut Rogue
Adorania  80 Disc Priest

Dorvan  Maintankadonor
 Posts: 8462
 Joined: Wed Apr 04, 2007 3:28 pm
Well yeah, that's what I'm seeking clarification on: is "8" 8, 800, 8XX, or any number with 8 in the hundreds place?
WHAT WOULD BEST DESCRIBE YOUR PERSONALITY?
Moonlight Sonata Techno Remix
Scriggle  85 Fire Mage
Fizzmore  81 Mut Rogue
Adorania  80 Disc Priest

Dorvan  Maintankadonor
 Posts: 8462
 Joined: Wed Apr 04, 2007 3:28 pm
Re: Fun math!
Riss wrote:Second Problem.
Each of the following letters stands for a different digit (no zeros were used). Find the two possible values for E:
E = 6 or E = 8.
 Talaii
 Posts: 92
 Joined: Fri Jan 11, 2008 1:46 am
Dorvan wrote:Well yeah, that's what I'm seeking clarification on: is "8" 8, 800, 8XX, or any number with 8 in the hundreds place?
The weirder part is it goes into it first 3 times.
If we assume 0s infront of 8:
That implies xxx goes into the first four, XXXX 0 times.
ie, xxx > XXXX
Therefore, there has to be X's infront of the 8 since there is a remainder in the picture.
(still completely bunk to give a problem like that with only 8 given, and X where any given integer would be. Mind problems where "Haha you made an assumption" are a failure if the assumption is due to giver's lack of commication skills. ie, it is a fault of the asker, not answerer).
So, if there have to be numbers infront of 8, then we have some knowledge:
It xxx goes into XXXX N times.
xxx*N = XXXX+ab (where a !=0)
This number, with the next two XX stated as cd, give abcd.
xxx goes into abcd 8 times.
> find all situations where xxx*abcd = 8 remainder ZY
Also we know the number directly before 8 is 0, otherwise we'd be doing abc instead of abcd.
=>ergo, answer is N08 so far.
I've got a feeling that XXXX = abcd since they both give two remainder digits
We Assume: a!=0, xxx >=100, N = 8.
We Know: xxx divides abcdcd
We Know: xxx divides abcd 8 times remainder ab
This actually gives us a lot of information.
Firstly: xxx*8 + ab = abcd
=> xxx*8 = abcd +ab
=> xxx = (abcd + ab) / 8
Sadly, there's 5832 combinations for abcd, and 72 for just ab. we do know that b and d are both even or both odd.
We also know that d+b /8 = the last digit in xxx, which from now on will be xyz. => z = d+b/8
We know d, b < 10, so d+b ranges 018, so d+b /8 = 0, 1, or 2 => d+b = 0, 8, or 16
If z is 0, then d,b,f is 0. (f is defined below)
If z is 1, then d,b are..
if z is 2, then d,b, are...
We also know that, under the assumption XXXX = abcd, there is a four digit number abef where xyz divides abef evenly.
This should get someone else started. I have a Management test tomorrow and a paper due in about 9 hours.
I'm working with xyz (divides) abcdcdef
xyz*N = abcd+ab
xyz*Y = abef + 0

Elsie  Posts: 3819
 Joined: Sat Jan 12, 2008 11:12 pm
Riss wrote:For the record these problems are directly from my teacher, word for word and the images are exactly as shown on the handout. Some crazy college professors...
It's not a bad question, it's just poor form to state a question where all X's are integers. This leads to the assumption that integers only exist where X's do.
The problem is solvable so long as 8 isn't the first number. It isn't particularly hard  I just forgot the exact method so I would need to go through all the possible information.
I mean, we know the final number has to be X080X without a remainder. There's only 72 possibilities there.
There's also only so many ways to get XXXX/xxx = X remainder XX.

Elsie  Posts: 3819
 Joined: Sat Jan 12, 2008 11:12 pm
PROOF THAT GIRLS ARE EVIL
Girls = Time * Money <given>
Time = Money <given>
Girls = Money * Money <substitution>
Girls = Money^2 <algebra>
Money = Evil^(1/2) <given>
therefore: Girls = [Evil^(1/2)]^2 <substitution>
Girls = Evil Q.E.D. <algebra>
Maths, oh how I love thee.
Girls = Time * Money <given>
Time = Money <given>
Girls = Money * Money <substitution>
Girls = Money^2 <algebra>
Money = Evil^(1/2) <given>
therefore: Girls = [Evil^(1/2)]^2 <substitution>
Girls = Evil Q.E.D. <algebra>
Maths, oh how I love thee.

mazater  Posts: 1130
 Joined: Mon Dec 17, 2007 8:40 am
 Location: Winland
Mazater wrote:PROOF THAT GIRLS ARE EVIL
Girls = Time * Money <given>
Time = Money <given>
Girls = Money * Money <substitution>
Girls = Money^2 <algebra>
Money = Evil^(1/2) <given>
therefore: Girls = [Evil^(1/2)]^2 <substitution>
Girls = Evil Q.E.D. <algebra>
Maths, oh how I love thee.
yet maths shall not stop men from wanting them.
Chatkiller at your service.

anthony  Posts: 2121
 Joined: Sun Jun 15, 2008 4:17 am
Invisusira wrote:
I got this printed out on my desk. All the professors and Ph.D. giggle at it. They also think it's great for it's simplicity, and it reminds them of keeping it simple
Working at a research facility

v
Duruk, EUKhadgar  Lvl85 Paladin Tank.
 duruk
 Posts: 117
 Joined: Thu Jun 19, 2008 12:14 am
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