(Logic) Puzzles/Brainteasers/etc.

Easy-ish.

A man walks into a pet shop looking to buy a parrot. The shop owner takes him over to the "Great Peruvian Purple Parrot of Paridise" and explains 'This parrot will repeat every word it hears'.

The man buys the parrot and takes it home. One week later he takes it back and goes. "This parrot hasn't said a damn word! All it does is squawk at me!"

What was wrong?

The man didn't say anything for a week or he went on a trip without the parrot.


Answer to my crime puzzle.

No one. Mr. Larson and his wife faked his death to collect on his life insurance. They operated on the belief that crimes at sea are rarely reported and even more rarely investigated and solved. Unfortunately for them, the captain realized that Mrs. Larson could not have been diabetic if people had witnessed her drinking that much alcohol. A diabetic would have fallen into a coma and probably died from consuming as much as she had. So what was in the cooler? Since no human can survive a loss of four liters of blood, Mr. arson had drawn his own blood over time, froze it, and brought it in onboard with him in the cooler they claimed contained Mrs. Larson's insulin. Then they used that blood as murder "evidence." Mr. Larson was still alive. He was lying low in disguise, waiting to sneak off the ship at the next port.
 
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By buying a weeend newspaper, I got for free this word play book.

Incremental word puzzles (all ? are to be legal words)

1

ALICE
?
?
?
?
STORK

2

WAGER
?
?
?
?
POLLS

3

LINE
?
?
?
CAST
?
?
?
TUCK

4

VARY
?
?
?
WEFT
?
?
?
FALL

But I have a problem. How do you create a spoiler box?
 
Here's some of the doublets (Word Play) solved.

LINE
LINT
LIST
LAST
CAST
CASK
TASK
TUSK
TUCK

Fairly easy.

ALICE
SLICE
SLICK
STICK
STOCK
STORK

After I figured out slice, it was pretty easy.

VARY
WARY
WART
WAFT
WEFT
WAFT
WALT
WALL
FALL

This one wass kinda hard, but I'm not sure if walt is a word..
 
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Medium

A man wakes up in bed, because he hears a disaster outside. He looks out the window, runs up the stairs, turns the light on, runs back downstairs and kills himself. What happened?
Does anyone have an answer to this, I'm really curious & can't think of anything, or was Zane C's right?
 
Ok, I guess I'll put this one as "Slightly Difficult".

Prove or give a counter-example of the following statement:
In three space dimensions and time, given an initial velocity field, there exists a vector velocity and a scalar pressure field, which are both smooth and globally defined, that solve the Navier–Stokes equations.


LOL well...

Navier-Stokes equations agh :-P That was brought up in my classical mechanics class, oddly enough, but alas, it is one of the CMI Millenium problems, and the best "proof" I can offer up is: Consider a function "f(x)" where it is "nested" k times (where k $epsilon Z[sup'+']$))while taking the gradient at each grad(grad(...grad(f(x))...))), there will be a finite amount of integer solutions such that grad(f(x))=0 XD
 
On a lovely Sunday morning, a wife wakes up and realises that her husband has been murdered.
The wife call the police, later the investigaters come and ask the people for their alibies.
The son said "I was at a friends house"
The butler said "I was doing the washing"
The housemaid said "I was getting the mail"
The wife said "I was alseep"

From that information the police arrested the murderer.
Who was the murderer?
 
for above:
On a lovely Sunday morning, a wife wakes up and realises that her husband has been murdered.
The wife call the police, later the investigaters come and ask the people for their alibies.
The son said "I was at a friends house"
The butler said "I was doing the washing"
The housemaid said "I was getting the mail"
The wife said "I was alseep"

From that information the police arrested the murderer.
Who was the murderer?
 
On a lovely Sunday morning, a wife wakes up and realises that her husband has been murdered.
The wife call the police, later the investigaters come and ask the people for their alibies.
The son said "I was at a friends house"
The butler said "I was doing the washing"
The housemaid said "I was getting the mail"
The wife said "I was alseep"

From that information the police arrested the murderer.
Who was the murderer?
I thought it was pretty obvious.
 
On a lovely Sunday morning, a wife wakes up and realises that her husband has been murdered.
The wife call the police, later the investigaters come and ask the people for their alibies.
The son said "I was at a friends house"
The butler said "I was doing the washing"
The housemaid said "I was getting the mail"
The wife said "I was alseep"

From that information the police arrested the murderer.
Who was the murderer?

http://www.texnews.com/religion97/sev120697.html
I frequently forget the mail on Saturday and get it on Sunday.
 
Ok, I guess I'll put this one as "Slightly Difficult".

Prove or give a counter-example of the following statement:
In three space dimensions and time, given an initial velocity field, there exists a vector velocity and a scalar pressure field, which are both smooth and globally defined, that solve the Navier–Stokes equations.


if i give you answer, will you give me 1000000 dollar?
by definition? given a piece of a nonlinear partial differential equation, give other values which hold true? not understand... i mean, they have to exist by definition to be correct with conservation law? finding the answer maybe not so easy, and being continuous, even harder... maybe why this is question "top 100 math problem" haha i dont think about this.... i cant make sense anyway
 
LOL well...

Navier-Stokes equations agh :-P That was brought up in my classical mechanics class, oddly enough, but alas, it is one of the CMI Millenium problems, and the best "proof" I can offer up is: Consider a function "f(x)" where it is "nested" k times (where k $epsilon Z[sup'+']$))while taking the gradient at each grad(grad(...grad(f(x))...))), there will be a finite amount of integer solutions such that grad(f(x))=0 XD

Wow, impressive.

if i give you answer, will you give me 1000000 dollar?
by definition? given a piece of a nonlinear partial differential equation, give other values which hold true? not understand... i mean, they have to exist by definition to be correct with conservation law? finding the answer maybe not so easy, and being continuous, even harder... maybe why this is question "top 100 math problem" haha i dont think about this.... i cant make sense anyway

Actually, you would get $1,000,000 if you answer it correctly...
 
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