Friday, 20 March 2009

CHAOS is a product of too much PEACE

Hi. Here's three questions for you to solve. The first would be a Mathematical problem where the answer will be provided at the end, the second and third would be common sense questions where if you wrack (sp?) your brains a little you will most definitely get the answer. I am sorely tempted to insert a random Go question in too...lol.

But seriously. You want a Go question? I could go find a super easy 30-kyu one for you guys to solve. Like trying to atari stones. Or capture them. Something like that. Do you even understand what I'm saying?

Here goes.

Q1. Mathematical Problem.
There are two glasses of identical volume. Glass A is half-filled with liquid A and Glass B is half-filled with liquid B. A tenth of liquid B from Glass B is poured into Glass A and mixed thoroughly into liquid A so it is evenly distributed. A tenth of the solution in Glass A is then poured back into Glass B. Is the amount of liquid A in Glass B the same as the amount of liquid B in Glass A?

Q2. Common Sense Question (taken from the Brands Essence advertisement)
Before Mount Everest was discovered, what was the highest mountain on Earth?

Q3. Common Sense Question (taken from the Brands Essence advertisement)
Most months have 31 days. How many have 28?

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Answers are further down. I suggest you think through the questions thoroughly first before proceding. Before they come, I'm gonna insert my day's account/recount here.

You know, the mathematical problem has been stuck in my head for years, I'm sure. It's nothing great and I don't even remember where I saw it from but it was from a long long time ago. It's an amazing feat that I have to be congratulated for that I even remember it. I don't have a great mind for these kind of stuff.

Perhaps I found the answer interesting and wanted to remember the question to double check the answer, perhaps it was simply...for odd reasons...engraved in my memory. I don't know. There isn't really much of a logical reasoning to answer this question I am posing to myself right now on why I remember this problem. Anyway, let me take some time to double check my anser...

*turns away to shut herself in and calculate mentally*

Yup. It should be the correct answer. I mean, I know the answer already but I just have to figure how to derive it myself.

I saw question 2 in the Squash toilets before so I know the answer. I've seen question 3 somewhere else too, but not the Squash toilet.

Anyway, answers. Yup yup. Coming soon.

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Answers:

Q1. The same.

If you want explanantions, fine, but I'm going to change the fractions so they're easier to work with, so instead of taking a tenth (1/10) of liquid B, I'm going to take a quarter (1/4 a.k.a. 25%). Please do remember that each glass is only half full. Pretend there is an object used in transferring the liquids and that it has the exact same volume of the transferred liquids.

After trasferring liquid B:
Glass A: 5/8 or 25/40 filled - 5/40 of liquid B & 20/40 of liquid A (ratio of B:A = 1:4)
Glass B: 3/8 or 15/40 filled - 3/8 of liquid B

During transfer:
Object Used to Transfer: 1/8 or 5/40 of Glass - 1/40 of liquid B & 4/40 of liquid A
Glass A: 4/8 or 20/40 filled - 4/40 of liquid B & 16/40 of liquid A
Glass B: 3/8 or 15/40 filled - 15/40 of liquid B

After transfer:
Glass A: 4/8 or 20/40 filled - 4/40 of liquid B & 16/40 of liquid A
Glass B: 4/8 or 20/40 filled - 16/40 of liquid B & 4/40 of liquid A

See?

Q2. Everest.

No matter whether it has been recognized by man as the highest mountain or not, it is still there, it still exists, and even if man hadn't discovered it yet, it is still the highest in existance on Earth.

Q3. 12 months.

All of the have at least 28 days.

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Fooled ya, didn't I? All those tricky common sense questions... I'm terrible with eplanations so if the walk-through Mathematical solution didn't make sense I'm to blame, okay? If your minds can't comprehend it, it's probably because I've twisted it into some strange incomprehensible hunk of words. It's not your fault. XP

Now you must be wondering why the hell I'm giving you these questions to do. I honestly don't know the answer either. XP Anyway, I hope you had fun getting your brains in a twist!

Here's a bonus for those who know Go (and find 30-kyu questions challenging...). I'm supposed to be 17-kyu to 18-kyu but I seem to find 18-kyu problems challenging...(by the way, 30-kyu is lowest rank. 1-kyu is the highest kyu, the followed by the higher amateur 1-dan until 6-dan. After that would be the professional 1-dan to 9-dan):

Freakishly easy 30-kyu problems-

1. Black to move and live. Average time taken for 30-kyu: 6 sec. 2. Black to move and live. Average time taken for 30-kyu: 8 sec.

3. White to move and kill black. Average time taken for 30-kyu: 11 sec.

4. Black to move and kill marked white stone. Average time taken for 30-kyu: 13 sec. (I honestly don't understand this. This problem is freaking easy even when I started out and that was while I still had problems with the first question I posted!)

Now some 25-kyu questions to keep your brain going (that is if you know the basics and can do all the 30-kyu posted XD):

1. Black to play and kill white. Average time taken for 25-kyu: 11 sec.

2. White to prevent black from connecting and saving all stones. Average time taken for 25-kyu: 25 sec.

That's all for today. I wanna put more, but...

Anyway, if you don't know how to play, go to these websites. They'll teach you. Go is fun! It's also kown as WeiQi, by the way. Go is fun, but playing it seriously is gonna make me die. I like solving the problems because there's no way you can lose, you just don't get it, that's all. I hate losing...:

http://gobase.org/studying/rules/?id=0&ln=uk

If you feel lost, don't worry. The next page is only a click away at the low hanging horizontal bar that says 'next'. There are problems to test yourself too. Just click home (it should be somewhere on the page) and search the right bar (or something). You should be able to find something like 'problems' or the likes.

http://www.goproblems.com/

This is where I found the problems I've posted. Kinda fun. XD

http://www.gokgs.com/tutorial/

I reinforced my knowledge here. Found out I actually knew everything they were talking about. Probably because I've read (and re-read) Hikaru no Go so many times and watched the anime of it where moves and the likes were explained at the end of the episodes. I recommend this site. It's interactive and fun. XD It's my personal favourite.