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**Claire****Guest**

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

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

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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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,603

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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**Claire****Guest**

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

**Claire****Guest**

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

**Claire****Guest**

Sorry change that, it will be 200!!

**mathsyperson****Guest**

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!)

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,603

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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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,603

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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**mathsyperson****Guest**

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.

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

omg not neopets... pokemon is the way forward

HAPPY HAPPY, JOY JOY

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

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

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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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,603

Do we get a years supply of neopetfood ?

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

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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