The worlds first riddle!

If it takes Dan 3 hours to paint a fence, and it takes Mark 6 hours to complete the same job. How long would it take both of them working together at their normal paces to complete the same job


1/((1/3)+(1/6))= 2 hours

If you have 37 cows standing in a field and all but 16 lie down, how many are left standing

16 perhaps??

hooray - river crossing

1. abc go to other side, b and c stay, a comes back

AaBCDdEe ----- bc

2. ad go to other side, d stays, a comes back

AaBCDEe ----- bcd

3. BCD go, C and D stay, B and b come back

AaBbEe ----- CcDd

4. Aa go to other side, Cc coming back

BbCcEe ----- AaDd

5. BCE go to other side, a coming back

abce - ABCDdE

6. abc go, bc stay, a comes back

ae - ABbCcDdE

7. ae go to other side

You like those tasks that make me completely dizzy, don't you

Prancer, Cupid, Rudolph, Dasher, Blitzen, Vixen, Comet, Donder, Dancer

Too dizzy for others at the moment

.

Peter - Sticks - Large - Hillsdale
Penny - Straw - Small - Riverview
Patricia - Bricks - Medium - pleasantville

prancer
cupid
rudolph
dasher
blitzer
vixen
comet
donder
dancer

About the train question i am still thinking

You guy's are really cool.
Tomorrow's offering, early (due to re-configure downtime).

A word I know,
six letters it contains
subtract just one,
and twelve is what remains.

It's the only vegetable or fruit that is never sold frozen, canned, processed, cooked, or in any other form but fresh. What is it

Moe and Tom and the boys in the bar were exchanging old war stories. Moe offered one about how his grandfather led a battalion against a German division during World War I. Through brilliant manoeuvres, he defeated them and captured valuable territory. After the battle, he was awarded a medal that was inscribed:
"For Bravery, Daring and Leadership. World War I"
Tom looked at Moe and said, "You really don't expect anyone to believe that yarn, do you?"

What's wrong with the story

There were a painter and a plumber waiting in line for admission to the Home Show. One of them was the father of the other's son. How could this be possible


In which sport are the shoes made entirely of metal

It's 200 miles from Chester to Kerton.

PM'd the last four. Number three I've seen about a million times. :wink:

A word I know,
six letters it contains
subtract just one,
and twelve is what remains

dozens

Moe and Tom and the boys in the bar were exchanging old war stories. Moe offered one about how his grandfather led a battalion against a German division during World War I. Through brilliant manoeuvres, he defeated them and captured valuable territory. After the battle, he was awarded a medal that was inscribed:
"For Bravery, Daring and Leadership. World War I"
Tom looked at Moe and said, "You really don't expect anyone to believe that yarn, do you?"

What's wrong with the story


it wasn't called world war I then, it was called the great war

There were a painter and a plumber waiting in line for admission to the Home Show. One of them was the father of the other's son. How could this be possible

the other one was a female

In which sport are the shoes made entirely of metal

Horse racing

Hi! When I last visited (a couple of pages and 1 month ago) an interesting puzzle was posted (by Try:) and i'll have to work from there .. uhh..

Anyway, it's the 'Treasure Island' with two trees and missing gallows. When you put that into vector notation, you get position of treasure expressed something like this:

X = position of treasure
(0,0) = position of gallows
A = position of A tree
B= position of B tree

Clearly given coordinate system zero(gallows position)
X= f(A,B)

If gallows position is not needed, that means f is independent of coordinate system choice, and is linear in both A and B:

f(A+D,B+D) = X+D

where D is some coord. center displacement.

Let's see now if our f is such. It can be written as

X = f(A,B) = (A+n(A) + B-n(B))/2

where n(x) is a normal vector to x.

In coordinates, this becomes

X= x*i+y*j = (ax*i + ay*j + ay*i-ax*j + bx*i+by*j-by*i+bx*j) / 2

where i and j are coordinate unit vectors, and ax = x coordinate of A tree etc. Note that 'turn 90 degrees right' means a normal vector, and 'turn 90 degrees left' means the opposite of a normal vector. For vector (x,y) the normal is (y,-x).


Now we test the linearity:
f(A+D,B+D) =(A+D +n(A+D) + B+D -n(B+D))/2 = ((ax+dx)*i + (ay+dy)*j + (ay+dy)*i-(ax+dx)*j + (bx+dx)*i+(by+dy)*j-(by+dy)*i+(bx+dx)*j) / 2
= ... (rearrangement)
= ((ax+ay+bx-dy)*i+(ay-ax+bx+by)*j)/2+dx*i+dxj
= (A+n(A)+B-n(B))/2 + D
= f(A,B)+D

Meaning that X holds the same position regardless of the position of gallows.

I've tried to 'understand' this visually, but failed miserably
Now I'll search the answers..

Logic ones, another of my favourites

Sentence "only one of these two statements is true" eliminates possibility that both of statements are true...but, still, both can be lie.
So, we are still left with choice that "application form is not in this box" sentence can be either lie or true.
Because of first condition (both sentences CANNOT POSSIBLY be true), this one HAS to be lie. Therefore, application is in box that states "application form is not in this box"

Tunnel gives soooo much options

1. One of guys is homosexual so he kissed another guy and he got slapped
2. Daughter is naughty so she kissed one guy, and other one was jealous so he slapped that same guy
3. Skinny guy was constantly abused by fat guy so he kissed his hand and then slapped fat guy...

That's the right direction MOU. I've always seen this with the two guys being a German soldier and a member of the French resistance.

The camera case does NOT cost $10. Not not by half. :wink:

A take at Liu's options:

You're thinking about not giving me the vase.

Quote Relative, "
"You're thinking about not giving me the vase."

I would be lying if I said "I was not thinking that you were thinking that you were right" And indeed you are. Answers also for the other questions.

One for Relative I think.
This problem was proposed by Archimedes about 2200 years ago.

Compute, O friend the host of oxen of the sun, giving thy mind thereto, if thou hast a share of wisdom. Compute the number that once grazed upon the plains of the Sicilian isle Trinacria (Sicily itself) and that were divided according to color into four herds, one milk-white, one black, one yellow and one dappled. The number of bulls formed the majority in each herd and the relations between them were:
1. White bulls = yellow bulls + (1/2 + 1/3) black bulls
2. Black bulls = yellow bulls + (1/4 + 1/5) dappled bulls
3. Dappled bulls = yellow bulls + (1/6 + 1/7) white bulls
4. White cows = (1/3 + 1/4) black herd
5. Black cows = (1/4 + 1/5) dappled herd
6. Dappled cows = (1/5 + 1/6) yellow herd
7. Yellow cows = (1/6 + 1/7) white herd

If thou canst give O friend the number of bulls and cows in each herd, thou art not all knowing nor unskilled in number, but not yet to be counted among the wise. Consider however the additional relations between the bulls of the sun:
8. White bulls + Black bulls = triangular number
9. Dappled bulls + yellow bulls = square number

When thou hast then computed the totals of the herd, O friend go forth as the conqueror, and rest assured that thou art proved most skilled in the science of numbers.




Weekend Quiz!
(Also known as, Yale entrance examination)

So, you think you're smart???? Take this quiz, if you dare!
Scoring is as follows: Correct Answers Rating
11- Either you're brilliant or you cheated
9-10 Above Normal
7-8 Normal
4-6 Duh!
1-3 Idiot
0 You should not be on a computer right now.

1. Do they have a fourth of July in England? Yes/ No
2. How many birth days does the average man have?
3. Some months have 31 days; how many have 28?
4. In baseball, how many outs are there in an inning?
5. Can a California man legally marry his widow's sister? Yes/ No
6. Divide 30 by 1/2 and add 10. What is the answer?
7. If there are 3 apples and you take away 2, how many do you have?
8. A doctor gives you three pills telling you to take one every half hour.
How many minutes would the pills last?
9. A farmer has 17 sheep standing in a field and all but 9 drop down and die. How many sheep are left standing?
10. How many members of each animal did Moses take on the ark?
11. A clerk in the butcher shop is 5' 10'' tall. What does he weigh?

Go for it. Have a good week end.