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#1 2005-06-16 22:28:31

Claire
Guest

I have a Conundrum

In the Art Gallery is a new conceptual art piece. The artist created a huge pile different paintings; periodically he picks up one of the paintings and hangs it on the wall, and adjusts it.

At 11:00, the painting titled "Number 30" was hung.

At 4:00, the painting titled "Number 240" was hung.

At 7:30, the painting titled "Number 315" was hung.

What painting will the artist hang on the wall at 9:20?

Any ideas anyone? I'm stumped!

Thanks

#2 2005-06-16 22:36:11

justlookingforthemoment
Moderator
Registered: 2005-05-26
Posts: 2,161

Re: I have a Conundrum

Are these in 24 hour time? It might help if an am or pm were added.

--

Or maybe not...

Last edited by justlookingforthemoment (2005-06-16 22:52:24)

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#3 2005-06-16 22:49:17

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,555

Re: I have a Conundrum

Hmmm, they look like angles.

1 Hour is 360/12 = 30 degrees, and 11:00=30 to the right of 12:00 (counterclockwise that is)
4:00 is 120 degrees to the left (clockwise) of 12:00, which is 240 degrees counterclockwise !

Now, 7:30 is a problem ...  shouldn't that be 1:30 ?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#4 2005-06-16 23:04:56

Claire
Guest

Re: I have a Conundrum

Thats all I got. I dont know anything else, its driving me mad

#5 2005-06-16 23:13:11

Claire
Guest

Re: I have a Conundrum

Angles is good I think i have it 210?? the angle at 9.20!!

#6 2005-06-16 23:20:31

Claire
Guest

Re: I have a Conundrum

Sorry change that, it will be 200!!

#7 2005-06-17 01:52:32

mathsyperson
Guest

Re: I have a Conundrum

This one is similar to the one that cheer99 posted a while ago in that you could manufacture a solution to fit the problem, because it is still a sequence, just a bit more complicated. If you did that, it probably wouldn't work, though.

I think MathIsFun is along the right lines and just needs to tweak his solution a bit, but I don't know.

Incidentally, it is also similar to the other one because it has been taken off neopets!
(Not a complaint, not trying to be witty, don't tell me off Zach... oh no wait, do!)

#8 2005-06-17 11:09:41

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,555

Re: I have a Conundrum

Oh, wow, another neopets.

I notice that the clue says "...and hangs it on the wall, and adjusts it". Perhaps he adjusts the angle its at, or turns it upside down or back-to-front.

That could explain why 7:30 not 1:30 (exactly 180 off what you think it should be, assuming it was "counterclockwise angle from 12:00")


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#9 2005-06-17 21:12:44

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,555

Re: I have a Conundrum

Best I can do is to say:

(CCW = Counterclockwise)

At 11:00, the painting titled "Number 30" was hung. => 30, because it is 30 degrees CCW from 12:00

At 4:00, the painting titled "Number 240" was hung. => 240, because it is 240 degrees CCW from 12:00

At 7:30, the painting titled "Number 315" was hung. Hung Upside Down so it is really 1:30, which is 315 degrees CCW from 12:00

At 9:20 assuming this painting is also hung upside down it will really be at 3:20, which is 260 degrees CCW from 12:00, so the painting will be "Number 260"

Would someone like to go over this and see if I got it right  ?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#10 2005-06-17 21:48:07

mathsyperson
Guest

Re: I have a Conundrum

Neopets' policy is to reveal the soultion and give a new puzzle on Thursdays, so you'll have to wait until then to see if you're right. Having said that, your logic seems impeccable to me and I don't see how that could be wrong.

#11 2005-06-17 23:40:15

stewie
Member
Registered: 2005-03-28
Posts: 820

Re: I have a Conundrum

omg not neopets... pokemon is the way forward


HAPPY HAPPY, JOY JOY  big_smile
cool Fatboy Slim is the band of the 90s, thats if you want to call it a band because its really a one man name cool

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#12 2005-06-23 09:24:14

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: I have a Conundrum

If I was Zach, I'd complain about the lack of an é, but instead I'll just say that the official answer is 200, meaning that everyone was right. Yay!


Why did the vector cross the road?
It wanted to be normal.

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#13 2005-06-23 10:42:37

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,555

Re: I have a Conundrum

Do we get a years supply of neopetfood ?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#14 2005-06-24 02:54:46

Zach
Member
Registered: 2005-03-23
Posts: 2,075

Re: I have a Conundrum

Pokémon!


Boy let me tell you what:
I bet you didn't know it, but I'm a fiddle player too.
And if you'd care to take a dare, I'll make a bet with you.

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