Can someone help me with this:
http://assets.openstudy.com/updates/attachments/4e169e120b8bc22757463090-crisis111-1310105170054-scan0004.jpg

Question

anonymous · Answer

please!

amistre64 · Answer

lol   first step in finding the boxes with presents is to go down the line and open every box ...

anonymous · Answer

I get what they are i trying to ask i just dont know where and how to start

amistre64 · Answer

the most basic is to just follow the instructions ... provided they make any sense

anonymous · Answer

Is it even possible to make a chart using whats given?

amistre64 · Answer

open all boxes

close the evens

undo the 3s

3c,6o,9c,12o,15c,18o,21c,24o,27c,30o,33c,36o,39c,42o,45c,48o

anonymous · Answer

what a cheap friends.


1st     all fifty box open

2)      2,4,6,8,.....,50th box closed

3)  All multiple of 3 except for even numbered box closed.

anonymous · Answer

LOL at imranmeah91

amistre64 · Answer

3c,6o,9c,12o,15c,18o,21c,24o,27c,30o,33c,36o,39c,42o,45c,48o

4o,8o,12c,16o,20o,24c,28o,32o,36c,40o,44o,48c



5c,10o,15o,20c,25c,30c,35c,40c,45o,50o

anonymous · Answer

oh! now i see what you are doing! :)

anonymous · Answer

however i dont seem to see a pattern,

amistre64 · Answer

occocooocoococooooocccoccccoocooccccocccooooococoo

amistre64 · Answer

me either yet :)

anonymous · Answer

wow this is defiantly going to take me some time.

amistre64 · Answer

are we spose to keep following this pattern for all 50 boxes?

amistre64 · Answer

she went thru it 50 times continuing the pattern

anonymous · Answer

the numbers open at the end are the perfect squares.  So there'll be 6 for 50, and 14 for 200.

anonymous · Answer

Yes, i am using my best guess that the pattern if for all 50 boxes/

anonymous · Answer

Trying to get computer to do this

anonymous · Answer

how did you get to that makaze?

anonymous · Answer

The reason that it's the perfect squares it the following:  Every time you pass through another number you change the multiples of that number.  So a number will be open if it has an odd number of factors, and closed for even.  Factors are pairs which multiply together to get the desired number so all of them match and so the number of factors is even.  The exception is when a number multiplies with itself to give the number, this is the only time that it has odd number of factors, and so is open.

amistre64 · Answer

occoccoocoooocooococccoocccooooocccoocccocooocoooo

occocccocoooooooocococooccccooooccooocccooooocooco

occocccccoooooocococococccccooocccoooccoooooococco

occoccccooooooocooocococccocooocccococcoooooccocco

occoccccocooooocooooococccocococccococccooooccoccc ; 10 spots so far

amistre64 · Answer

id go with makaze on this one lol

anonymous · Answer

so in the end it would be 6 presents for 50, and 14 for 100??

anonymous · Answer

14 for 200 isn't it?

anonymous · Answer

oh yes my mistake 200.

anonymous · Answer

{1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, \
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, \
1, 0, 1, 0}

This is what I got

anonymous · Answer

what does the 1 and 0 represent?

anonymous · Answer

and btw thanks a lot for helping me much appreciated!!

anonymous · Answer

1 mean open 0 means closed

anonymous · Answer

oh now i see the pattern in your answer!

anonymous · Answer

Maybe easier way to see it is to think of the prime factorisation.  The number of factors for a number n is the product of all the exponents in its factorisation plus 1.  So if n=p^aq^b then the number of factors are (a+1)(b+1).  So if you want an even number of factors all of the exponents have to be even (as soon as one isn't there'll be a plus 1 at the end) so if you can write n=(p1)^(2a1)...p(q)^(2aq) then n^2=(p1)^(a1)...p(q)^(aq).

This was a really good question though :D

anonymous · Answer

so using your method the final answer is 6 for 50 and 14 for 200?

anonymous · Answer

Yes

anonymous · Answer

attachment

anonymous · Answer

thank you so much!

amistre64 · Answer

I get :) open 1 ,open 4 ,open 9 ,open 16 ,open 25 ,open 36 ,open 49 ,

amistre64 · Answer

course I could be wrong :)

amistre64 · Answer

it matches makazes and imrans :)

anonymous · Answer

so the boxes that contain presents are the 1st,2nd,9th,16th,25th,36th,and 49th?