Monday, February 25, 2008

Average Puzzle

Average Puzzle
Suppose we have a set of N numbers, xi, and I want to choose an "average" value x*. There are many ways to define an average, but I have a particular requirement in mind. How should I choose the average value so that

1. I get the smallest possible value for the sum of the absolute values of the differences |xi-x*|;
2. I get the smallest possible value for the sum of the squares of the differences (xi-x*)2;
3. I get the smallest possible value for the maximum of the absolute values of the differences |xi-x*|;
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Wednesday, February 20, 2008

Who Owns the Zebra Puzzle

Who own the Zebra Riddle
On a city block there are five houses in a row, numbered from left to right, each of a different color and inhabited by men of different nationalities, with different pets, drinks and cigarettes. You are given the following clues:

* The Englishman lives in the red house;
* The Spaniard owns the dog;
* Coffee is drunk in the green house;
* The Ukrainian drinks tea;
* The green house is immediately to the right of the ivory house;
* The Old Gold smoker owns snails;
* Kools are smoked in the yellow house;
* Milk is drunk in house #3;
* The Norwegian lives in house #1;
* The man who smokes Chesterfields lives in the house next to the man with the fox;
* Kools are smoked in the house next to the house where the horse is kept;
* The Lucky Strike smoker drinks orange juice;
* The Japanese smokes Parliaments;
* The Norwegian lives next to the blue house;

Now, who drinks water? And who owns the zebra?
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Friday, February 15, 2008

Survival of the Sheep Puzzle

Survival of the Sheep Puzzle
There is an island filled with grass and trees and plants. The only inhabitants are 100 lions and 1 sheep.
The lions are special :
1) They are infinitely logical, smart, and completely aware of their surroundings.
2) They can survive by just eating grass (and there is an infinite amount of grass on the island).
3) They prefer of course to eat sheep.
4) Their only food options are grass or sheep.

Now, here's the kicker:

5) If a lion eats a sheep he TURNS into a sheep (and could then be eaten by
other lions).
6) A lion would rather eat grass all his life than be eaten by another lion (after he turned into a sheep).

Assumptions :
1) Assume that one lion is closest to the sheep and will get to it before
all others. Assume that there is never an issue with who gets to the sheep
first. The issue is whether the first lion will get eaten by other lions
afterwards or not.
2) The sheep cannot get away from the lion if the lion decides to eat it.
3) Do not assume anything that hasn't been stated above.

So now the question:
Will that one sheep get eaten or not and why?
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Sunday, February 10, 2008

Coins In A Row Puzzle

Coins in a Row Puzzle
Tom has a checkerboard, a pocketful of coins, and some time to pass. He places one coin in each square of the checkerboard. Then he starts turning coins from heads to tails, until only one coin is left showing a head.

He decides to flip them all back to heads, but now he makes a rule. He can only make two kinds of moves: flip all the coins in a row, or flip all the coins in a column of the checkerboard. This suddenly makes his task more interesting, but he finds he can't seem to get all heads. Now he tries getting all tails, but again he can't do it.

* Starting with one head, is there always a way to flip all the coins to heads? Or tails?
* Does the shape of the checkerboard matter?
* Does the position of the single head matter?
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Thursday, February 7, 2008

Answers to the Impossible Quiz

The Impossible quiz is no more impossible.. Here we have the answers / solutions to the impossible quiz, posted on 13th Sep 2007. Those who haven't yet tried the wonderful quiz, visit The Impossible Quiz.

The questions are far from easy. Some require insane logic, others are completely down to guessing. You have 3 lives throughout the quiz. Get an answer incorrect and you will lose one. Complete a certain number of questions correctly and you will be awarded with a Skip. Skips lets you skip a question if you are finding it too difficult. There are also bomb questions which are timed. You have to complete the question until the bomb detonates otherwise it is Game Over. Limits range from generous 10 seconds to an evil 1 second! Good luck!

1. “How many holes in a polo?”
four (2 arms, 1 collar 1 waist)
2. “Can a match box?”
no,but a tin can (there is a saying “a match can’t box but a tin can”)
3. “sdrawkcab siht rewsna”
o.k. (reverse spelling)
4. “Click, the answer”
answer (literally)
5. “Put mouse here…”
go around the screen (w/out touching blue).
6. “sqr onion” shallots
(wordplay: shallots are small onions)
7. “The answer is really big” an elephant
(literally; also possible reference to legendary moment of dumbness in TV quiz who wants to be a millionaire)
8. “Search!” for the word yes
( a little down bellow S and E)
9. “What was the answer to question 2?”
top right (self explanatory)
10. “Choose food” click on the teeth
(Choose is a homophone for “Chews”)
11. “What follows December 2nd?”
n (1st thing: “2″ 2nd thing: “n” 3rd thing: “d”)
12. “Click on the smallest”
the dot on the I (makes sense)
13. “What sound does a bell make?”
F’tanng (makes sense)
14. “What can you put in a bucket to make it lighter?”
torch (”lighter” as in fire tool)
15. “Neigh! Whinny!”
Just type in horse (cryptic, but makes good sense)
16. “What is the 7th letter of the Alphabet?”
h (literally, the 7th letter in “the alpHabet”)
17. “24 - 7 =”
click on the circled 17 (devious, but logic)
18. “Stop time”

… with a hammer (“stop. hammer time!” [break out the “running man” dance])
19. “Color in the correct color”
Blue Orange Green Green Yellow (makes sense)
20. “Deal or no deal?”
seal! (because whatever you choose, you *seal* the “deal”.)
21. “Watch Carefully… now choose!”
top left (blinks green)
22. “The choice is yours”
+1 skip (kind of makes sense; in this question, you get +1 skip)
23. “Save changes to ‘untitled’?”
bran (you must type something to save?)
24. “click on the ‘v’ in lives”
click V in bottom left corner (hidden message)
25. “How do you kill a werewolf”?
Shoe polish (Shoe polish has silver nitrate, silver kills werewolves)
26. “Which of this place names doesn’t exist”?
Arsefacey (It’s a fact!)
27. “I hope you’ve been paying attention to the question numbers!”
go to 28 (logic)
28. “What is this?”
abundance (a bun dance! get it?)
29. “What flavour is cardboard?”
egg mayonnaise (*allegedly* because they somehow use mayo in the process of making cardboard — can anyone back this up?)
30. “Don’t click on the green” stay on the path! (makes sense)
31. “woof. woof. woof.” (just watch puppy for a while)
32. “What are the main ingredients of champoo?” babycham and human faeces (Babycham(sham) + Human Faeces(‘poo’)= shampoo.)
33. “How many letter in ‘his hand’?” 7 (literal)
34. “Elephants don’t like mice” take mouse away from screen (makes good sense)
35. “If you touch this button, it’s game over!” click on green smily face (just wait a bit)
36. “What do you call a wingless fly?” a walk (makes sense)
37. “Can you get this question wrong?” all four buttons work (just a teaser)
38. “Mary Rose sat on a pin.” Mary Rose (Because she sat on a pin, she had to get up! It’s a bad pun.)
39. “cylindrical adventures” (animation by Splapp-me-do, available on Newgrounds.com)
40. “Hmm… if only you had a bridge” alt+tab, or hold the left mouse to clink pink (logic)

41. “the afro” on the ducks head (perhaps because it’s the only part that doesn’t belong in a duck; answer available in link: afroduck)
42. “What is the answer to life, the universe and everything?” the 42nd 42 (bottom row, second collumn - it’s a reference from “The Hitchhicker’s guide to the galaxy” )
43. “Bridget makes everyone… “tom cruise (Jerry McGuire movie reference)
44. “Puzzle” Put pieces together (behind piece marked 44 there’s a button)
45. “Gibberish” top right (kindly translated from windgdings by Max - Question: “Potatoes fly”. Top-left:indeed / Top-right: WRONG / bottom-left: Why not? / bottom-right: ROFL)
46. “OMFG u kills sonikku bastard” bottom left (self-explanatory, South Park reference, reference to video “sonic breaks his neck” by splapp-me-do)
47. “Vanish” click on red dot (mouse cursor vanishes)
48. “Snake? Snake?!” Snaaaake! (videogame reference - metal gear solid)
49. “Which is the correct spelling?” splapp-me-do (It’s the name of the group behind the game - refer to opening credits)
50. “Remember:”o.k. (you’ll get this one later on.)
51. “Fight” just click on screen several times
52. “Find the Carrot.” the third one, below the ! (logic)
53. “Mar mite” but pa might not (word play)
54. “Shanghai?” no, about 20cm off the ground (word play)
55. “What is the digestive system?” a game console for wholemeal biscuits (a game console is a “system” and wholemeal biscuits are often used to help babies digestion)
56. “I hope you remembered?” click on dot blue, red, blue, yellow in that order (refer #50)
57. “Look! Count Dracula!” erm…one? (word play)
58. “On the *subject* of dracula, what’s his favorite food?” Sheperd’s pie (logic, wordplay)
59. “Charge U’r laser” click on the black circle dude as fast as you can (logic)
60. “Be honest… did you manage to do the last question on the first go?” yes or no (just be honest)
61. “(Y)” thumbs up (if you type (Y) in MSN a thumbs up emoticon appears)
62. “It’th thimple. Click the moth!” the moss (answer with a lisp, makes sense)
63. “What are Chicken McNuggets made of?” tastless white fluff (Author’s personal opinion, allegedly)
64. “Which is true?” egg>28 (according to jewish low, there are two main sizes of food portions: olives & eggs. an olive in considered these days as 28 gr. (very big olives), and eggs are double.)
65. “Click the *largest*” click the word largest (literal)
66. “Hurry up! It’s the end of the World!” click the ! after world (self-explanatory “!”)
67. “What is this?” a big hairy arsonist (wordplay)
68. “pet the kitty” just rub it w/ mouse.
69. “Are you enjoying the quiz?” lol,69 (duh)
70. “My dog’s got no nose. How does it smell?” using its anus (“smell” is an adjective describing the dog and not a verb)
71. “Oh, Christ…” just click the green (logic)
72. “Where is it?” move down from between 7 and 2 in question number (logic)
73. “?” top right (similarity)
74. “How many questions does this quiz have?” no one knows that (They hadn’t yet finished making the game! )
75. “Pay attention….” and quickly press the escape button (beneath question number)
76.”….You are my candy girl” sugar honey honey (as in the popular 80’s pop song)
77. “What is this?” question 77 (duh)
78. “Déja vu?” four (refer #1)
79. “Where is the horseshoe?” it’s the ‘u’ in what do you mean? (bottom left)
80. “Sell your liver to…” romanians (possibly because Romania has the highest rate of hepatitis infection in Europe. 1 out of 11 Romanians has some form of hepatitis, which is a liver disease.)
81. “Rub the pole” … to draw a lightning
82. “Clip Toenails” click on toenails to trim them (must be real fast)
83. “What does DNA stand for?” national dyslexic assosiation (go figure)
84. “Only click the shooting start.” right click screen and wait for star to show up (otherwise it’s just too tough)
85. “Did you enjoy the last question?” i loved it! (you’d better)
86. “I’m green and I have sticky balls. Who am I?” the prince (the Frog Prince from Katamari Damanci videogame)
87. “Click on what’s missing from this question” click on invisible dot after 87 (logic)
88. “Break his leg” click really fast anywhere (logic, reference to splapp-me-do video “sonic breaks his neck”)
89. “Which magical property do dog eggs contain?” blindness
90. “How many times has Michael Jackson had a nose job?” nonce
91. “Dear reader…” rip the page by sliding cursor beneath third hole (no clicking)
92. “Descend” 194 27 26 14 9 3 2.5 10.4 (clicking order, from Left to Right: 2 6 9 3 5 1 7 4 8 )

93.drag the bomb
94.wait for it to time out
95.press the button that the cat leaves
96.a right mess
97.10+ times
98. blue, red, blue, yellow (just like the other remember)
99.wait for light to turn green
100.two
101 - Type chihuahua
102 - Touch the circles but not the squares, when a small square appears, don’t touch anything.
103 - Find the tomato. Before everything vanishes, put your mouse between the top of the letters “C” and “H”
104 - Click on the sad yellow moon. Bottom right corner
105 - Mouse over and type Banana out of the “B” in gooseberry, the “A” in apple and the SECOND “N” in nectarine
106 - Complete the game and DONT use a skip.
107 - Move your mouse over “I am ignore u” but don’t click it, it will come up with game over. Ignore this and wait.
108 - Type in the missing numbers WITH SPACES. (4 8 15 16 23 42)
109 - click the monkey as quickly as possible, click it’s poop, click the arrow in the poop.
110 - You must use ALL the skips in the game. Make sure you got the ones from the space level.

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Sunday, February 3, 2008

Easiest way to understand politics.. the fun way!!

We have a lot of people who have considerably lacked the visibility and understanding of politics. They work so hard but its not easy to understand and remember those terms with their appropriate meaning. Here we have those terms with the easiest way to understand them. You will wish to have all your studies like this. Lets move on and learn:

POLITICS

FEUDALISM: You have two cows. Your lord takes some of the milk.

PURE SOCIALISM: You have two cows. The government takes them and puts them in a barn with everyone else's cows. You have to take care of all of the cows. The government gives you as much milk as you need.

BUREAUCRATIC SOCIALISM: You have two cows. The government takes them and put them in a barn with everyone else's cows. They are cared for by ex-chicken farmers. You have to take care of the chickens the government took from the chicken farmers. The government gives you as much milk and eggs as the regulations say you need.

FASCISM: You have two cows. The government takes both, hires you to take care of them and sells you the milk.

PURE COMMUNISM: You have two cows. Your neighbors help you take care of them, and you all share the milk.

RUSSIAN COMMUNISM: You have two cows. You have to take care of them, but the government takes all the milk.

CAMBODIAN COMMUNISM: You have two cows. The government takes both of them and shoots you.

DICTATORSHIP: You have two cows. The government takes both and drafts you.

PURE DEMOCRACY: You have two cows. Your neighbors decide who gets the milk.

REPRESENTATIVE DEMOCRACY: You have two cows. Your neighbors pick someone to tell you who gets the milk.

BUREAUCRACY: You have two cows. At first the government regulates what you can feed them and when you can milk them. Then it pays you not to milk them. Then it takes both, shoots one, milks the other and pours the milk down the drain. Then it requires you to fill out forms accounting for the missing cows.

PURE ANARCHY: You have two cows. Either you sell the milk at a fair price or your neighbors try to take the cows and kill you.

LIBERTARIAN/ANARCHO-CAPITALISM: You have two cows. You sell one and buy a bull.

SURREALISM: You have two giraffes. The government requires you to take harmonica lessons.

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