Seminars at Quantum Future School, still have those?

[Approaching Infinity]

The question is: To whom the fish belongs?

Note: As in real life, not all in the above is 100% clear. For instance, it is not clear whether "first to the left" refers to "looking from the street" or "looking from inside the bungalow" - that kind of uncertainty is a daily bread in 4D, so take into account both possibilities and find the solution for each interpretation.

If both 'left' clues are interpreted the same way, I got the same answer for both, as it's just a mirror image, osit. If I'm right, you have the fish Fish, Ark.

 

[John G]

aX + (10-a)Y = 35

bX + (16-b)Y = 35

cX + (26-c)Y= 35

And the educated part is to quickly notice the first sister better sell darn near all her chickens the first time and the third sister sell darn near all the second time. Make sure the first sister does not sell all her chickens the first time like I did (that actually works with 3.5 and 0.5 as the prices) cause then the first sister would not have come back the second time to sell.

 

[John Chang]

My solution:

Norwegian: yellow, water, dunhill, cat
Dane: blue, tea, blend, horse
Brit: red, milk, pallmall, bird
Pole: green, coffee, prince, fish
German: white, beer(heh), winston, dog

 

[anart]

Clearly, the sister with the most chickens has the fish.

 

[John G]

My solution:
Norwegian: yellow, water, dunhill, cat
Dane: blue, tea, blend, horse
Brit: red, milk, pallmall, bird
Pole: green, coffee, prince, fish
German: white, beer(heh), winston, dog

"The green bungalow is next to the left of the white bungalow" is where I'm having a bit of trouble ... is it the first house on the left, or the house one step beyond that (on the left side)?

Funny the answer comes out Pole either way but for two away the German ends up with milk (yuck).

 

[Vulcan59]

My answer as follows:-

German : white(first house looking from street in),beer, Winston, dogs.
Polish : green, coffee, Prince, fish.
British : red, milk, Pall Mall, birds.
Danish : blue, tea, Blend, horses.
Norwegian : yellow, water, Dunhill, cat.

And sorry John, didn't see your solution when I posted mine.

 

[John Chang]

I'd also like to report that while solving the first problem, I heard a loud ringing in one ear, and a lot of people came by to distract me.

 

[John Chang]

My solution:
Norwegian: yellow, water, dunhill, cat
Dane: blue, tea, blend, horse
Brit: red, milk, pallmall, bird
Pole: green, coffee, prince, fish
German: white, beer(heh), winston, dog

"The green bungalow is next to the left of the white bungalow" is where I'm having a bit of trouble ... is it the first house on the left, or the house one step beyond that (on the left side)?

Funny the answer comes out Pole either way but for two away the German ends up with milk (yuck).

Kein milch! Bier ist das Getr

 

[ark]

For those who would like to see how the chicken problem can be solved, I posted the soulution ;)

here.

Of course I have made it truly esoteric, so you will not find it easy to read =)

 

[domi]

Of course I have made it truly esoteric, so you will not find it easy to read =)

Ay Caramba!

Now that I see the result, I think back at my school days and remember that I did solve a problem similar to this. In this case though, being a bit rusty, I didn't manage to make the mental step of reducing three equations to two.
On the other hand it did challenge me to experiment with OSX built-in grapher tool to generate some parametric curves and determine an approximate answer visually. I even learned some spanish along the way.

Will this be known to future generations as "Ark's mathematical shocks that fuse the scientific I's"?

Dominique.

 

[ark]

Here comes the third test: Mastering Time.

To make it esoteric - it comes in French:

But to not make it a torture, here is a short explanation:

Suppose both hands of the clock are on 12. Then exchanging the big hand and the little hand is another admissible reading on the clock. But at 6 o'clock exchanging the hands gives an impossible configuration on a good clock. Question: how many times, and at which hours, exchanging the position of the small and the little arrow leads to another possible clock reading?

 

[Peam]

It occours 11 times in 12 hours, or 22 times in 24 hours, every time the hands line up?

Trying to work out the maths.

 

[Peam]

Every 32.7272727272 degrees, if you consider the clock to be a 360 circle?

 

[John G]

It occours 11 times in 12 hours, or 22 times in 24 hours, every time the hands line up?... Every 32.7272727272 degrees, if you consider the clock to be a 360 circle?

Or another way to phrase it is that 11:55 doesn't actually line up till 12:00 which is where you started so you lose one. Time to get back to figuring out the meaning of the 6th density farmionic code eieio.

 

[Peam]

Or another way to phrase it is that 11:55 doesn't actually line up till 12:00 which is where you started so you lose one. Time to get back to figuring out the meaning of the 6th density farmionic code eieio.

That's too far above my head John.
Anyways, is it something to do with an 11 sided polygon called a hendecagon? Both clock hands line up together where the angles of a hendecagon are. The internal angles are 147.272727 degrees.