Skip to Navigation

Perplex City - We Love Puzzles

Have an account? Sign in / Register

Forums

See Also: | Forum Home RSS | Search | Recent RSS |

#167 - Enrolment (purple dice)

Forum Index -> Season 2 -> #167 - Enrolment (purple dice) RSS

Author Message
#64
#167 - Enrolment (purple dice) 01/03/2007 18:58:27

mindcandy
Lover of Puzzles

[Avatar]

Messages: 438

Offline

Please use this thread for discussion about this card.
#668
Re: #167 - Enrolment (purple dice) 04/03/2007 17:24:55

Morrisman76
Lover of Puzzles

[Avatar]

Messages: 8

Offline

Can someone who has cone this card clear a few things up for me.

1) Does the cycle go back to whistle 1 (all open) which means every 3 whistles all the lookers are open?

or...

2) does it just cycle through the 2nd and third whistle?

and

3) If a locker is open already and the student is asked to open it again does this mean they shut it?

and

4) does the minimum number of students have to be greater than the previous year?

Its quite a lot to ask but i am going blind looking at rows of O's and C's and I already wear glasses!!
#739
#167 - Enrolment (purple dice) 05/03/2007 11:34:21

endlessDelirium

[Avatar]

Messages: 86

Offline

haven't answered this card but i've been working on it as well.

i understood from the card that cycling through 1-3 was the way it worked but came to the same conclusion you did in #1.

i'm gonna assume (probably to my detriment) that your second option is the way it's supposed to work.

as for #3... i've got hte card in front of me and it says that on the second blow every second locker is closed, on the third whistle every third locker is changed from open to closed or closed to open. So maybe.... (just in case)

Spoiler: (highlight to read)

whistle blows first time and every door is opened. whistle blows second time and every second door closes. third whistle every third door changes then on the next whistle only every second door is opened if it is already closed and we go back to every third door changes....



not sure but i'm going to give it a go. Not that I have any real idea of what i'm doing in a more practical way. theory I can handle, practical... well, let me know how you go or what you think
#741
Re: #167 - Enrolment (purple dice) 05/03/2007 12:21:00

Hugmonster
Lover of Puzzles

[Avatar]

Messages: 2

Offline

I interpreted the question differently to that, but my answer was incorrect. I thought

Spoiler: (highlight to read)

Whistle 1 - all lockers open
Whistle 2 - every second locker closed
Whistle 3 - every third locker toggled
Whistle 4 - every fourth locker toggled
Whistle 5 - every fifth locker toggled

...and so on.

I was unsure whether it was 20 years since it started (ie this is the 21st year) or if this is the 20th year.

Tried both answers I got (for years 20 and 21) and neither was correct.



T.
#742
#167 - Enrolment (purple dice) 05/03/2007 12:38:35

endlessDelirium

[Avatar]

Messages: 86

Offline

I actually tried that and

Spoiler: (highlight to read)

ended up with them half of them open and no way to close them.



does anyone know how to get hints other than on the forums?
#807
Re: #167 - Enrolment (purple dice) 05/03/2007 18:22:00

Casaubon
Lover of Puzzles

[Avatar]

Messages: 6

Offline

The sequence that Hugmonster outlines is correct.

A few hints (they get bigger as they go down):

1:

Spoiler: (highlight to read)

"20 years ago" means that 20 full years have passed since the tradition began. So you should be able to work out whether we're now in year 20 or year 21



2:

Spoiler: (highlight to read)

The first whistle toggles lockers whose number is divisible by 1. The second toggles lockers whose number is divisible by 2 etc. So take, e.g. locker 20, you can see that it would have been toggled on whistles 1, 2, 4, 5, 10 and 20 (i.e. the factors of 20).



3:

Spoiler: (highlight to read)

All lockers start closed, so you can work out that only a locker which has been 'toggled' an odd number of times will be open.



4:

Spoiler: (highlight to read)

Try and work out which number lockers could have been toggled an odd number of times (i.e. which have an odd number of factors). It's only a special kind of number...
#813
Re: #167 - Enrolment (purple dice) 05/03/2007 18:50:59

Morrisman76
Lover of Puzzles

[Avatar]

Messages: 8

Offline

Thanks for the hints guys, they confirm what I have been trying, i will go back and start again, maybe a made a mistake

cheers

#2387
Re: #167 - Enrolment (purple dice) 17/03/2007 17:47:14

a11420151425
Lover of Puzzles

[Avatar]

Messages: 4

Offline

Can someone check this and see if i'm doing it right so far.

Spoiler: (highlight to read)

Also i'm working out the pattern to be this but the answers i get arn't being accepted:

1 4 9 16 25 ...
\ / \ / \ / \ / \ /
3 5 7 9 ...
\ / \ / \ / \ /
2 2 2 2

[Thumb - whistles.JPG]
Filename whistles.JPG [Disk] Download
Description
Filesize 94 Kbytes
Downloaded: 227 time(s)

#2577
Re: #167 - Enrolment (purple dice) 19/03/2007 20:26:27

Behappy
Lover of Puzzles

[Avatar]

Messages: 3

Offline

a11420151425,

Spoiler: (highlight to read)

1 4 9 16 25
very good so far now just remember how many years have past . . .
#4571
Re: #167 - Enrolment (purple dice) 20/04/2007 23:01:16

Dreamstalker
Lover of Puzzles

[Avatar]

Messages: 43

Offline

OK, I confess, I am completely utterly lost. Any help for a math dummy? (I have an idea of what's involved, just am clueless as how to actually do it)
My Trades
#4792
Re: #167 - Enrolment (purple dice) 24/04/2007 12:21:01

martynpie
Lover of Puzzles

[Avatar]

Messages: 112

Offline

Casaubon wrote:

The sequence that Hugmonster outlines is correct.


That is so much more elegant than the way I approacehd this.

Spoiler: (highlight to read)


I made 9 nxn spreadsheets before I spotted the pattern....

Woowoo!
#8548
Re: #167 - Enrolment (purple dice) 19/09/2007 06:46:14

Big5_181
Lover of Puzzles

Messages: 3

Offline

It helps if you use something you can manipulate. And, remember to count CORRECTLY, particularly when you start getting into higher numbers.

Spoiler: (highlight to read)

It also helps to remember the most stable shape in the cosmos.
#8550
Re: #167 - Enrolment (purple dice) 19/09/2007 13:54:27

adaml43420
Lover of Puzzles

[Avatar]

Messages: 59

Offline

a11420151425 wrote:

Can someone check this and see if i'm doing it right so far.

Spoiler: (highlight to read)

Also i'm working out the pattern to be this but the answers i get arn't being accepted:

1 4 9 16 25 ...
\ / \ / \ / \ / \ /
3 5 7 9 ...
\ / \ / \ / \ /
2 2 2 2



just a little math note:
if by finding the differences you reach a constant term, then you have a linear pattern
if by finding the differences a second time you reach a constant(as above), then you have found a quadratic pattern
Need season one silvers? Check my trades at www.perplexcitytrades.com/adaml43420

Forum Index -> Season 2 -> #167 - Enrolment (purple dice) RSS

Go to: