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View Full Version : A fun math p[roblem

pagemap
10-11-2001, 12:23 AM
A school has 1,000 lockers. Student #1 goes and opens every locker. Student #2 goes and closes all the even #erd lockers. Student #3 goes to all lockers that are a multiple of 3 and opens it if it is closed and closes it if it is open. Student #4 goes to multiple of 4 and opens it if it is closed and closes it if it is open. This goes on until student #1000. After student 1,000, what multiple is open and why.

After this gets a few posts I will reveal the answer.

DoPeY5007
10-11-2001, 12:25 AM
i am so lost :confused:

sho.gun
10-11-2001, 12:27 AM
31?

irwin
10-11-2001, 12:42 AM
*cracks knuckles*
The lockers that are numbered with perfect squares remain open.

DoPeY5007
10-11-2001, 12:45 AM
Originally posted by passwird
*cracks knuckles*
The lockers that are numbered with perfect squares remain open.

he also said and why???

pagemap
10-11-2001, 12:47 AM
there are 31 open lockers

the only open lockers will be those that have been 'operated' on a odd amount of times. this only occurs when a number is squared.

think of it, when you goto divide a number you get 2 'operaters' on it ex: student 1 and 50 student 2 and 25 student 5 and 10

where as a squared number 1 and 4 2 and 2

thus a odd amount of operators

thus open lockers are
1^2=1
2^2=4
3^2=9
4^2=16

ect ect

pagemap
10-11-2001, 12:48 AM
see my previous post

it is any perfect squares
1
4
9
16
25
36

ectect

think of when you are getting numbers to divide a number by,
ex find all possible numbers to divide 24 by
1&24
2&12
3&8
4&6

now 25

1&25
5&5

however there is only one student #5
thus the locker has been 'opened/closed/opened'

you can only get open if you are 'operating' on it a odd # of different distinct students

perhaps this is clearer

sho.gun
10-11-2001, 12:55 AM
Originally posted by DarkFury
Ummmm... what was "so fun" about that? :confused:

It's an alien thing, you wouldn't understand it earthling.

ZrEo0
10-11-2001, 01:22 AM
i remeber doin that prombel in math class....... in 8th grade

g222leav
10-11-2001, 01:54 AM
Originally posted by passwird
*cracks knuckles*
The lockers that are numbered with perfect squares remain open.

i'm so impressed, i think i've found a new hero

Speedfreak
10-11-2001, 03:40 AM
Originally posted by DarkFury
Ummmm... what was "so fun" about that? :confused:

Maybe we should guess how big your fro will get before you cut it. :D

BigJon
10-11-2001, 10:43 AM
E=MC^locker

attgig
10-11-2001, 11:38 AM
Originally posted by passwird
*cracks knuckles*
The lockers that are numbered with perfect squares remain open.

You're all ready for college!!! :)

BigJon
10-11-2001, 11:40 AM
I am IN college and was lost by this mind boggling puzzle

Grimm
10-11-2001, 11:50 AM
Originally posted by BigJon
I am IN college and was lost by this mind boggling puzzle

You have to still be in highschool to understand problems like these. All the knowledge you need to solve it evaporates a week after graduation.

BigJon
10-11-2001, 11:51 AM
true

johnnymk
10-11-2001, 12:03 PM
What's a prombel? Is that a wrod in the ditcionray?

ZrEo0
10-11-2001, 09:58 PM
sorry, i make typos....... and is wrod in there?

g222leav
10-11-2001, 11:13 PM
i'm in college, and i didn't even try...

dbax791
10-11-2001, 11:22 PM
Originally posted by passwird
*cracks knuckles*
The lockers that are numbered with perfect squares remain open.

Didn't you post a while ago that you were not doing well in math?

[Typical Parent]Apply yourself, young man![/Typical Parent]

oblongmelon
10-12-2001, 12:15 AM
Originally posted by pagemap
A school has 1,000 lockers. Student #1 goes and opens every locker. Student #2 goes and closes all the even #erd lockers. Student #3 goes to all lockers that are a multiple of 3 and opens it if it is closed and closes it if it is open. Student #4 goes to multiple of 4 and opens it if it is closed and closes it if it is open. This goes on until student #1000. After student 1,000, what multiple is open and why.

After this gets a few posts I will reveal the answer.
I got a headache just reading this. I'm still using beads on a string to count. How the heck does passwird figure this stuff out so quickly?I HATE math. blech.

ChrisMG187
10-12-2001, 12:49 AM
i dunno how he figured it out so fast. my guess is that he looked it up on that ennernet thing.

styleee
10-12-2001, 11:46 AM
i love math problems :)

seriously, i do. i think MATH ROCKS!