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

Magnum, you are red hot today.

MOU whilst I check your answer against the river way timetable, I leave you and the others from Europe who may be able to help Father Christmas.

Santa always leaves plans for his elves to determine the order in which the reindeer will pull his sleigh. This year, for the European leg of his journey, his elves are working to the following schedule, which will form a single line of nine reindeer:

Comet behind Rudolph, Prancer and Cupid. Blitzen behind Cupid and in front of Donder, Vixen and Dancer. Cupid in front of Comet, Blitzen and Vixen. Donder behind Vixen, Dasher and Prancer. Rudolph behind Prancer and in front of Donder, Dancer and Dasher. Vixen in front of Dancer and Comet. Dancer behind Donder, Rudolph and Blitzen. Prancer in front of Cupid, Donder and Blitzen. Dasher behind Prancer and in front of Vixen, Dancer and Blitzen. Donder behind Comet and Cupid. Cupid in front of Rudolph and Dancer. Vixen behind Rudolph, Prancer and Dasher.

Can you help the elves work out the order of the reindeer

If not, what about farmer Jiles?
The three little pigs, as you know, built houses ?- one of straw, one of sticks, and one of bricks. By reading the six clues, figure out which pig built each house, the size of each house, and the town in which each house was located.

1. Penny Pig did not build a brick house.
2. The straw house was not medium sized.
3. Peter's house was made of sticks, and it was neither medium nor small.
4. Patricia Pig built her house in Pleasantville.
5. The house in Hillsdale was large.
6. One house was in a town called Riverview.

We were going by train from Chester to Kerton, but an hour after starting an accident happened to the engine. We had to continue the journey at three-fifths of the former speed. It made us two hours late at Kerton, and the driver said that if only the accident had happened fifty miles farther on the train would have arrived forty minutes sooner.

Can you tell from that statement just how far it is from Chester to Kerton

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..

Welcome back Relative, I hope the clinic has cured you, now you are back amongst us. :wink: Your position as Grand Wizard has been held open.

Quote, "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."

Can anyone see any fault in this line of thinking?
I would think not, it just goes to prove, ?'everything is Relative'.

Adrian quote, "It's 200 miles from Chester to Kerton." It sure is sport.

"Number three I've seen about a million times." That is, "For Bravery, Daring and Leadership. World War I"

I am sorry, please accept my humble apologies. I keep forgetting you were at Gallipoli. :wink:

Magnum 4 out of 5. That's hot.

So, the only one left. At last a point to me I think.
"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"

There was this club devoted to the study of logic. Those who wish to join the Logic club must fill out a particular application. Outside the door of the club there was a desk with two boxes on it. On one of the box it was written: "Only one of these two statements is true," and on the other, "The application form is not in this box."

To get the necessary form, which box should you open

A woman and her daughter were travelling by train. Two men sat with them in the same compartment. The train went through a tunnel and it became totally dark inside. Then they all heard the sound of a kiss, followed immediately by that of a slap. After the train came out of the tunnel, however, none of the passengers said anything.

The mother thought: "Whichever of the two dirty men who took advantage of my daughter deserves the punishment." The daughter, however, thought: "How stupid. Kissed my mother, not me! It must be the fat guy; he looks like that sort of man." The fat guy, in the meantime time, was quietly cursing the skinny fellow sitting next to him: "He caused the trouble, but I suffered for it!"

So exactly what happened while the train was going through the tunnel

The store manager told Greg that the Cannon camera, along with a carrying case, should sell for $310.00 The camera and the case, however, could be sold separately. If so, the camera should go for $300.00 more than the case. A customer came along and wanted to buy just the case.

How much should Greg charge

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:

Quote MOU, "Logic ones, another of my favourites" (and good too) Therefore, application is in box that states "application form is not in this box" Oh, so right.

Let's say that the statement "Only one of these two statement is true" is written on Box A, and the statement "The application is not in this box" is written on box B.
Suppose the statement on Box A is true, namely only one of the two statements is true, then the statement on Box B, "The application form is not in this box," must be false, and the application is in Box B.
Suppose the statement on Box A is false, namely, not "only one of these two statements is true," then there are two possibilities: both of the statements on Box A and Box B are false, or, both of the two statements on Box A and Box B are true. The latter possibility is actually impossible, because here we are supposing that the statement on Box A is false, and we cannot turn around and say it is true, too. Consequently, the only possibility here is that both of the two statements are false. In that case, the statement "The application form is not in this box" is false, and the application form is in Box B.

Since regardless whether the statement "Only one of the two statements is true" is factual or not, the form is in Box B, that's the box that we should open.

Good answers continued.
"Skinny guy was constantly abused by fat guy so he kissed his hand and then slapped fat guy..."

The skinny guy pecked on his own hand and then slapped the fat man.
Why? Maybe out of weight-jealousy.

Quote Adrian, "The camera case does NOT cost $10. Not, not by half."
I don't know, I think about half would do it. :wink:

Time for another apology. Yesterday I wrote, "So, the only one left. At last a point to me I think." The answer was in fact ?'Lettuce' I should have checked my inbox, where Adrian had given the answer (along with all the rest). I am pleased to set the matter straight, now call off your lawyers.

Chlong, the Chinese Emperor, wanted to have a little fun with one of his councillors, a minister Liu. Holding up a precious vase he said to the minister: "I'm considering If I should give this vase to you as a gift. Two possibilities: I give it to you, and I don't give it to you. Which of the two ideas do you think I'm currently thinking about? If you guess correctly, the vase is yours."

With little hesitation, Minister Liu replied in such a way that he virtually secured the gift from the emperor. What did he say

The boss said to Clancy: "I've got here these 127 gifts. However, I do not know yet how many of them I am supposed to give away at the meeting this afternoon. Therefore, I would like you to package the gifts up in such a way that as soon as I learn the number of gifts I should present--surely no more than 127 that much we know--you can readily hand me that many gifts, either in one box or a combination of boxes. That way we do not have to count our gifts on the spot. Could you do that?"

Nancy thought about it, and then replied, "Yes."
How many boxes should Nancy use, and in each of these boxes how many gifts should she place respectively

Two friends arrived at a party:
"Quite a few girls here. One-third of all the people, I'd say."
"No, not that many. One-fourth, that's my guess."
Actually, both estimates were correct.
How many girls and how many guys were at the Party

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.