The worlds first riddle!

CHOO CHOO! Mark would be wrong in the assumption. He only has a better chance of catching the west bound train. His odds are 2:1 on catching the west bound.
to catch the east bound he only has a 20 minute gap but to catch the west bound he has a 40 minute gap.
40 min : 20 min
2:1

50/50 - True or False



1. Earthworms come out when it is raining because they love water.
True
False


2. In humans, the right lung weights more than the left lung.
True
False


3. Fingernails grow faster than toenails.
True
False


4. If placed in water a good egg sinks. An egg that has gone bad, floats.
True
False


5. There was once a two and a half rupee note in circulation in India.
True
False

True and False:

1. False - they don't want to drown
2. True
3. True
4. False
5. True but what the hell do I know

[size=8]TRAINS
No. The interval before the westbound train is twice the interval before the eastbound train.[/size]

[size=8]TRUE/FALSE
1. false (guessing that they do it to avoid drowning)
2. true (guessing that the heart gets in the way of the left lung)
3. true (seems I have to trim the fingernails a bit more often)
4. false (seems I've had good eggs float and sink)
5. ?[/size]

Mark:

TOILET PAPER
Without having done any calculations, I'll say a parabola (until the paper runs out; then it's a horizontal line).

Yup, I reckon it could be so described.
For every revolution of the toilet roll the height of the pen drops by the thickness of the toilet paper left on the floor behind it. If this was the only thing you had to think about, the figure would be a straight line, slanting towards the floor. But each revolution decreases the diameter of the toilet roll as well. So each revolution takes less distance along the floor. So for each revolution the pen drops the same amount in shorter and shorter distances. The final figure will be a curve of gradually increasing steepness as the roll gets closer to the end.


Ralph:
Balloon: the balloons can only travel on and with the air current.
Coffee: Leaving the coffee on the table undisturbed would allow the heat to stay longer. Blowing on it will only cool the surface briefly. Using the plastic spoon will allow the temperature to be altered throughout the cup there for it would cool quicker.

I could not have put it better.


Mark:

BALLOON
A boat is in water which provides friction to keep the wind from turning the boat/sail so that it travels parallel to the wind.

A balloon has no such medium to provide that friction; so the wind will just rotate the balloon and force it to travel parallel to the wind.
You are absolutely right, the answer should be obvious to anyone who's ever tried to sail a flat-bottomed boat. The reason a ship can sail across, or even into the wind, is not because of its sails, but because of its keel. When the sails of a ship catch the wind, they are pushed essentially in the direction of the wind. But the ship's keel provides resistance against this force, and so the force is sort of "redirected" in the direction that the captain has pointed his vessel. (There are other effects as well, but this is the basic principle.) In the case of the balloon, however, since there is no keel, the only real effect the three sails would have had was to make the balloon slowly rotate as it was blown along.


COFFEE
(a) is out.
(b) would cool the surface, but convection would cause the cooled surface liquid to mix with the warmer liquid below.
(c) would bring more of the liquid in contact with the air (aids convection), but also adds (negligible) heat due to friction. A metal spoon would probably be better as it would act as a heat sink.

I'll go with (c) since the aid to the natural convection should be beneficial.


Ralph:

CHOO CHOO! Mark would be wrong in the assumption. He only has a better chance of catching the west bound train. His odds are 2:1 on catching the west bound.
to catch the east bound he only has a 20 minute gap but to catch the west bound he has a 40 minute gap.
40 min : 20 min
2:1

Spot on, which is what Mark thought as well, " No. The interval before the westbound train is twice the interval before the eastbound train."



Ralph:

True and False:

1. False - they don't want to drown
2. True
3. True
4. False
5. True but what the hell do I know - About 80% by the look of things.




Mark:
1. false (guessing that they do it to avoid drowning)
2. true (guessing that the heart gets in the way of the left lung)
3. true (seems I have to trim the fingernails a bit more often)
4. false (seems I've had good eggs float and sink)
5. ?




How many people, one at a time, would you need to ask in order to have at least a 50% chance of finding two with the same day and month of birth

Why

7x12 perhaps?



FACT: Aristotle thought heavy objects should go faster under gravity and Galileo said everything falls at the same rate.

You took a full coke can, an empty coke can and an half empty coke can and put them at the top of a ramp and rolled them down to see which would arrive faster.

Which can won

You can also use Sprite or Dr Pepper. :wink:




50/50 - True or False


6. There are more bones in the arm than in the leg.
True
False


7. A spider is an insect.
True
False


8. It is harmful for the eyes to watch television in the dark.
True
False


9. Our fingers have three bones while our thumb has only two.
True
False


10. All the air in the lungs gets changed with each breath.
True
False

6. true
7. false aracnids have eight legs insects have 6 also inclued in aracnoides are crabs and prawns
8. true and harmfull to the brain at any time
9. true
10 false

[size=8]BIRTHDAYS
I've seen this before, and I think the answer is 23. Why? Probability.

COKE CAN
I'll guess the emtpy one since there is no internal friction.

TRUE/FALSE
6. false (no counterpart for the patella)
7. false (arachnid)
8. false
9. false
10. false[/size]

true / false

6 true
7 false spiders have 8 legs insects have 6
8 false
9 true
10 false

cans:
the half full will reach the bottom first

Dmaned if I know about the birth day/month

Hiya DP, I am a dope. I thought Victoria was where Queensland is. Due to the fact, Victoria was Queen. Doh!


I have been watching to many survival programmes with that ex-army guy, driving all over Queensland. Ever met a Taswegian?




Many seemingly intelligent people, are under the impression that manhole covers are round because that is the only shape that even with a minimal lip, cannot fall through the hole it covers to injure a workman below.

That of course is untrue.

Can you come up with a different shape that cannot possibly fall through a hole of the same shape and size

Well!

Manhole cover...... an equalaleral triangle with fat sides would do it i think. Thats probably not a good description but the best i can do. I read that somewhere on the net recently so it MUST be true.



Good men have died for less

ex army guy? ah yes Major Les Hiddens "the bush tucker man".

yep met a few tassie devils in my time. Tassie is deliverence country, think Hatfields and McCoys. (not really, we just give 'em stick cause they hate it)

[size=8]MANHOLE COVERS
There are infinitely many shapes. One infinite class of shapes is constructed like this:

Take a regular polygon with an odd number of sides and convert each side into an arc of the circle which has its center at the vertex opposite the side and has a radius equal to the diagonal connecting the opposite vertex to one of the vertices of the side.

The resulting object will have a constant diameter equal to the radius described above.[/size]

Well, you guys sure have sorted out the ?'people' whole problem.

But what about:

A two K spends x million dollars on research and finds that its profit can be expressed as a function of the amount of money spent on research.
If Profit (x) = 30 + 6 log (x+2) how much will the company have to spend on research to increase its profit from its present level, with a research investment of 5 million dollars (P(5)), to 80 million dollars

[size=8]PROFIT
Let b = the base of your log function (e, 10, etc.)
Then,
x = b^[(80-30)/6] - 2
= b^8.333 - 2

So, if b = 10, the answer is 215,443,467 million dollars.

If b = e (natural log), the answer is 4,158 million dollars.[/size]

Dadpad:

6. true
7. false aracnids have eight legs insects have 6 also inclued in aracnoides are crabs and prawns
8. true and harmfull to the brain at any time
9. true
10 false

Manhole cover...... an equalaleral triangle with fat sides would do it.

(It sure would)

…Good men have died for less.

That is why I will live forever!


ex army guy? ah yes Major Les Hiddens "the bush tucker man".
Thanks, I will check him out.


Yep, met a few tassie devils in my time. Tassie is deliverence country, think Hatfields and McCoys.

Message received, now where did I put me banjo. :wink:


Mark:
BIRTHDAYS
I've seen this before, and I think the answer is 23. Why? Probability.*
See below.

COKE CAN
I'll guess the emtpy one since there is no internal friction. - Guess again.

Well in this case it's the heavy coke can, the one that's full ends up at the bottom first, so it looks as though Aristotle was right. However, the reason that the full coke can gets there first is not because it's heavier, but because of the way the mass is distributed inside. Because when something is rolling, then the energy is not just in the linear straight ahead motion, but also in the rotation. In addition, the mass that you have at the centre of the object has less rotational energy, and so there's more energy available for the straight ahead motion. The empty coke can on the other hand, has all of it's mass in the outer edge, and so has a larger fraction of it's energy taken up in rotation, and less available for the straight ahead motion. So in this case it's the full coke can that arrives down at the bottom first.



TRUE/FALSE
6. false (no counterpart for the patella)
7. false (arachnid)
8. false
9. false
10. false

MANHOLE COVERS
There are infinitely many shapes. One infinite class of shapes is constructed like this:
Take a regular polygon with an odd number of sides and convert each side into an arc of the circle which has its center at the vertex opposite the side and has a radius equal to the diagonal connecting the opposite vertex to one of the vertices of the side.
The resulting object will have a constant diameter equal to the radius described above.

Thank you, I could not have presented it so well.


Ralpheb:

true / false
6 true
7 false spiders have 8 legs insects have 6
8 false
9 true
10 false

cans:
the half full will reach the bottom first

Next time don't take a ?'swig' before the test.

Dmaned if I know about the birth day/month

The answer, surprisingly, is only 23. The simplest way to explain this is to consider the equivalent likelihood of each new person having a DIFFERENT birthday to any previous person. If we include February 28th. the second person would have only 365 chances out of 366 of having a different birthday to the first. That's a probability of 99.727%. The third person would still have 364 chances from 366 of not coinciding with either of the other two, so we need to multiply the previous probability by this giving us 99.182%, and so on until we reach a cumulative probability of 50%, by which time we will have asked just 23 people.

(I too am damned, and I knew the answer.)



Mark:
PROFIT
Let b = the base of your log function (e, 10, etc.)
Then,
x = b^[(80-30)/6] - 2
= b^8.333 - 2

So, if b = 10, the answer is 215,443,467 million dollars.

If b = e (natural log), the answer is 4,158 million dollars.


You are the king of the solution.


P(5) = 30 + 6 log(5 + 2)
--------------
log 2

= 46.84 million dollars

80 = 30 + 6 log2 (x + 2)

50 / 6 = log2 (x + 2)

2^50/6 = (x + 2)

x = 320.54 million dollars.

Therefore: increase in spending = 320.54 - 5 = 215.54 million. What's a few grand here or there.





What is one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one hundred


You have 1,432 feet of fence that must be strung out in a straight line. A fence post must be placed for every 4 feet of fence, so how many fence posts will be needed




True/False

11. A giraffe's front legs are longer than its back legs.
True
False


12. It is colder at the Antarctic than the Arctic.
True
False


13. The Earthworm has no eyes.
True
False


14. The leopard roars like the lion and tiger.
True
False


15. A Bimonthly is a magazine that comes out either twice a month or once in two months.
True
False

[size=8]ONE HUNDRED
10

FENCE
359

TRUE & FALSE
11. true
12. true
13. true
14. false
15. true (once every two months)[/size]

Why would it be harmful to the eyes to watch television in the dark? What "harm" is done?

Numbers: 9.795
fence: 359 poes but i would have 360
t/f
11 true
12 overall yearly temperature true however, the arctic has had tempetatures = or colder than ant-arctic
13 true
14 false I'm a Penn State fan!
15 false

ralpheb:
What would you do with the extra post?

My dad went to Penn State; so I'm a fan also. What a turnaround this season, and what a thrilling Orange Bowl.

Mark, I am sorry to read your dad went to the State Pen. I think a file in a cake is the key.

The human eye has a variable aperture called the pupil to regulate the amount of light entering the eye.

The size of the pupil is controlled by a set of muscles called the iris. The iris contracts in bright light to decrease the size of the pupil.
In darkness/dim light, the iris relaxes completely so that maximum amount of light can enter the eye through the enlarged pupil. While watching TV in dark/dim light, the TV becomes the lone source of light entering the eye.

As various pictures/scenes are continuously shown on TV with constantly varying degrees of brightness, the iris is made to constantly relax and contract, thus causing great strain to it.



When viewed from the same distance but in their current positions, how many times brighter would the Sun be than the full Moon