The worlds first riddle!

My apology i was wrong............. AGAIN!

The flea is any wingless, bloodsucking insect of the order Siphonaptera that parasitizes warm-blooded animals. Most are 0.1-0.4 cm (0.04-0.16 in) long and have enlarged, muscular hindlegs adapted for leaping.

Tick is correct. A tick has eight legs and is considered a "mite"

Q 7:
Dysentery
Q 8:
Methanol

Mark:

COINS IN BOX
2/3 /



Perhaps the best way to demonstrate that 2/3 is the correct answer to this problem is to approach it in a simple intuitive manner, such as:

Denote the double headed coin A and the regular coin B. Further, denote the sides of the double headed coin A1 (a head) and A2 (another head), and the sides of the regular coin B1 (a head) and B2 (a tail).



Three possibilities remain, all equally likely, two of which have a head on the other side. The required probability is thus 2/3.



COMMUTER
50 minutes


The wife saved twenty minutes of commute time, meaning (subject to assumptions) that driving from the depot to where she picked up her husband would have taken ten minutes. So she picked him up at 5:50, meaning that he had been walking for fifty minutes.

SIMPLIFY
3.74165738677394


sqrt ( 3 - sqrt 5 ) = sqrt (5/2) - sqrt(1/2),
sqrt ( 4 + sqrt 7 ) = sqrt (7/2) + sqrt(1/2),
sqrt (6 - sqrt 35 ) = sqrt ( 7/2) - sqrt (5/2),

and their sum is
2 sqrt ( 7/2) = sqrt (14).

Q7: Dysentary

Q8: Methanol


Whadda know, we all agree - phew!


Oops! Sorry I did not see Dadpad.


Q 7:
Dysentery

Q 8:
Methanol

DP, apologies are totally unnecessary. This is all about having a bit of a laugh, and boy, do I laugh when Mark drops a clanger. Yes I know, it has been a long time.

However, I think this one will do it:



A dart is thrown at a circular dart board of radius one. The dart can land at any place on the dartboard with equal probability. What is the mean distance between where the dart hits and the center of the board



Smaller and smaller.


Q 9:

Next you find yourself smaller than an atom. You can see subatomic particles dashing madly about. Which one of the following particles is NOT found in ordinary atoms

Proton
Electron
Positron
Neutron



Q 10:

One last step down in size before you return to normal. Now you can see quarks, believed to be the components of neutrons, protons, and other particles. There are six kinds of quarks known to science, all with whimsical names. Which of the following is NOT a type of quark

Strange
Bottom
Charm
Odd


I have been asked a number of times to give the ?'snow plow' answer.
I am sorry, I do not give out answers to unanswered questions. Give it a go yourself.

Q9 positron

Q10 Odd

repost the snow plow question
I dont have a lot of experience with snow plows or snow to be honest but........

One morning is starts to snow at a constant rate. Later, at 6:00am, a snow plow sets out to clear a straight street. The plow can remove a fixed volume of snow per unit time, in other words its speed it inversely proportional to the depth of the snow. If the plow covered twice as much distance in the first hour as the second hour, what time did it start snowing


DP, I understand your problem, perhaps this problem is more to your liking.

One morning is starts to sandstorm at a constant rate. Later, at 6:00am, a sand plow sets out to clear a straight street. The plow can remove a fixed volume of sand per unit time, in other words its speed it inversely proportional to the depth of the sand. If the plow covered twice as much distance in the first hour as the second hour, what time did it start sand stormingm

On the other hand!

[size=8]DARTBOARD
2/3[/size]

Dadpad:

Q9 positron

Q10 Odd


Mark:

DARTBOARD
2/3 /

Lets consider the dartboard in polar coordinates. The dart can land at any angle relative to the center with equal probability. Next take the intregral from the least to the greatest distance, 0 to 1. The density function at distance d is 2*pi*d/pi = 2d. So the answer is:

Integral from 0 to 1 of d*2d = 2d3/3 from 0 to 1 = 2/3.


Water flows into a tank at a rate of 1 gallon per second. Water leaves the tank at a rate of 1 gallon per second for each 100 gallons in the tank. The tank is initially empty.

How long will it take for the tank to fill with 50 gallons of water



Waddaya know?

1. Who first argued that the world was not flat


2. Which metal is the best conductor of electricity


3. The binary system of numbers uses which two numerical digits


4. Which scientist was born in Germany in 1879, became a Swiss citizen in 1901 and later became a US citizen in 1940


5. Which temperature has the same value in both centigrade and Fahrenheit

[size=8]1. Atlas
2. Ag
3. 0, 1
4. Einstein (Swiss citizenship was granted in 1921)
5. -40[/size]

I was unable to get the snowplow and tank problem; so I looked them up. It's amazing how much (math) knowledge you lose when you don't use it.

Mark:

1. Atlas

Who? - Charles Atlas, or, Aristotle Atlas


2. Ag
3. 0, 1
4. Einstein (Swiss citizenship was granted in 1921)

Although I was under the impression that; Swiss citizen in 1901 and later became a US citizen in 1940?

5. -40

"…It's amazing how much (math) knowledge you lose when you don't use it."


Amen to that. Those words should be framed, a real wakeup call. I believe Alzheimers disease and dementure can be avoided, providing the brain is challenged by ?'new' thought.
In which case we will be ok.

Herewith endeth todays sermon.



Your job allows you to work any number of hours per week you desire. Your take home pay is proportional to the number of hours worked (no overtime). After subtracting time for sleeping and routine daily tasks, you have 80 hours per week left for work and pleasure. You wish to maximize your income multiplied by the amount of pleasure time you have to enjoy it.

How many hours per week should you work



A baby is added to a hospital nursery. Before the baby was added, there were two boys in the nursery and an uncounted number of girls. After the new baby is added, a baby is selected at random among all the babies. The selected baby is a boy.

What is the probability that the added baby was a girl

[size=8]WORK
40

BABIES
2/5[/size]

Waddaya know?

1. Who first argued that the world was not flat

Aristotle


2. Which metal is the best conductor of electricity

silver

3. The binary system of numbers uses which two numerical digits

0 and 1

4. Which scientist was born in Germany in 1879, became a Swiss citizen in 1901 and later became a US citizen in 1940

Was it Einstein?

5. Which temperature has the same value in both centigrade and Fahrenheit



Use it or lose it: I will tell the bride you said that.

snow/sand/dust plough we dont know either but assume its a parabolic arc
an outright guess based on intuition would be 5.30 am.

Mark:

WORK
40


Le U be your function the how much you get to enjoy your money per week.
Let h be the number of hours worked per week.
U = h*(80-h).
U = 80-2h.
Set the derivative equal to 0:
80-2h=0, thus h=40.


BABIES
2/5 /


The answer is 40%.

Bayes' Theorem:
Let events A1,...,Ak form a partition of the space S such that Pr(Aj)>0 for j=1,...,k, and let B be any event such that Pr(B)>0. Then for i=1,...,k,
Pr(Ai|B) = Pr(Ai)*Pr(B|Ai) / Sum for j=1 to k of Pr(Aj)*Pr(B|Aj).

Applying this theorm:
B=boy selected
A1=boy added
A2=girl added
g=number of girls before baby is added.
Pr(A2|B) = (1/2)*(2/(3+g)) / [(1/2)*(2/(3+g)) + (1/2)*(3/(3+g))] = 0.4

The source of this problem is the May 1997 issue of the Actuarial Review.


Dadpad:

1. Who first argued that the world was not flat

Aristotle


2. Which metal is the best conductor of electricity

silver

3. The binary system of numbers uses which two numerical digits

0 and 1 and

4. Which scientist was born in Germany in 1879, became a Swiss citizen in 1901 and later became a US citizen in 1940

Was it Einstein?
It sure was mate.

"Use it or lose it: I will tell the bride you said that."

Don't bother mate, I have already told her.

snow/sand/dust plough we dont know either but assume its a parabolic arc, an outright guess based on intuition would be 5.30 am.

?'WE' who the heck is we? Are you the Queen or something? Good guess though.

It started snowing at (51/2-1)/2 hours before 6:00am, or 5:22:55am.

Let the depth of snow at time t to be t units. The speed of the plow at time t will be 1/t. Define t=0 as the time it started snowing and t=x the time the plow started.

The distance covered in the first hour is the integral from x to x+1 of 1/t dt. The antiderivative of 1/t is ln(t) so the total distance covered in the first hour is ln((x+1)/x).

By the same reasoning the distance covered in the second hour in ln((x+2)/(x+1)).
Using the fact that it the plow traveled twice as far in the first hour as the second: ln((x+1)/x) = ln((x+2)/(x+1))2
Exp both sides and you have (x+1)/x = ((x+2)/(x+1))2.

Solving for x you get x=(51/2-1)/2, which is the number of hours that elapsed between the time it started snowing and the snow plow left.
This problem was taken from the Actuarial Review

How are you all enjoying the temperature down your way?





How many sub squares can you form on chessboard with n*n unit squares

Sub squares must be an integer squared.



6. Which planet in the Solar System is closest in size to Earth

7. What is the sum of the internal angles in a hexagon

8. What do the initials "PVC" stand for

9. What is an Ishihara test used for

10. What is the most common blood type in humans


Tie Break: What is the atomic number of the element Californium

6. Which planet in the Solar System is closest in size to Earth
venus


7. What is the sum of the internal angles in a hexagon


8. What do the initials "PVC" stand for
Polyvinylchloride

9. What is an Ishihara test used for
color blindness according to my dictionary

10. What is the most common blood type in humans
O positive


Tie Break: What is the atomic number of the element Californium
98

"WE" are the bride, cold-erin, self and lilbro

its hot here TA damn hot
http://i8.photobucket.com/albums/a40/dadpad/summer/egg4.jpg

http://i8.photobucket.com/albums/a40/dadpad/summer/egg5.jpg

G'day. Its a Beaut me old cobber, fair dinkum. Give my best to the rest of the gang, and Ned Kelly if you see him in the bar.


How far have spacecraft from Earth travelled into space

[size=8]SUBSQUARES
n^3 / 3 + n^2 / 2 + n /6

7. 720

SPACECRAFT
beyond Saturn[/size]

Below there are sixteen numbers. Assuming that any three of the numbers may be drawn at random, what are the chances that three numbers will be drawn whose sum equals six

1 2 3 1
2 3 1 2
3 1 2 3
1 2 3 1

[size=8]SIXTEEN NUMBERS
There are C(16,3)=560 ways to draw three numbers (without replacement).
Six can be made as 2+2+2 or 1+2+3.
There are C(5,3)=10 ways to make 2+2+2
There are 6*5*5=150 ways to make 1+2+3
Answer = 160/560 = 2/7[/size]

Dadpad & Co:

6. Which planet in the Solar System is closest in size to Earth
venus



8. What do the initials "PVC" stand for
Polyvinylchloride

9. What is an Ishihara test used for
color blindness

10. What is the most common blood type in humans
O positive


Tie Break: What is the atomic number of the element Californium
98


Mark:
7. What is the sum of the internal angles in a hexagon
720

SPACECRAFT
beyond Saturn

Good answer, poorly worded question.

Somewhat less than one Light-day
The planetary exploration missions Pioneer and Voyager have barely traveled beyond our Solar System. These are the fastest spacecraft ever launched from Earth. Even these spacecraft will take a very long time to travel one light-year. We don't have the knowledge or technology to send space probes or manned craft to even the nearest stars!

NASA hopes to continue to receive data from Voyager 1 and 2 through year 2014, when the electrical power on-board is expected to begin to run out.


SUBSQUARES
n^3 / 3 + n^2 / 2 + n /6

I have it as:
You can form n^2 unit squares.
You can form (n-1)^2 2 by 2 squares.
You can form (n-2)^2 3 by 3 squares.
You can form (n-3)^2 4 by 4 squares.
. . . You can form 1^2 n by n square.
The sum of all these sums is n*(n+1)*(2n+1)/6


SIXTEEN NUMBERS
There are C(16,3)=560 ways to draw three numbers (without replacement).

Six can be made as 2+2+2 or 1+2+3.
There are C(5,3)=10 ways to make 2+2+2
There are 6*5*5=150 ways to make 1+2+3
Answer = 160/560 = 2/7 /


This was a bit tricky and I initially thought the answer was 1/16 or 6.2% but you are right, it is really 2/7 or 28.6%.

Either rolling '2 2 2' or some combination of '1 2 3' adds up to be 6. The chances of getting '2 2 2' are 5/16 (5 2s out of 16) times 4/15 (4 2s left out of 15) times 3/14 (3 2s left out of 14). This is 5/16 * 4/15 * 3/14 which equals 1/56.

The chances of getting some combination of '1 2 3' is equal to 6/16 (6 1s in the list) times 5/15 (5 2s out of 15 numbers left) times 5/14 (5 3s out of 14 numbers left) times the number of different combinations of '1 2 3' which is 6. This is 6/16 * 5/15 * 5/14 * 6 which equals 15/56.

1/56 + 15/56 = 16/56 or 2/7 or ~28.6%.



There are two envelopes in front of you each with a non-zero number. You will receive an amount of money equal to the final envelope you choose. You are informed one has twice as much money as the other. You are then allowed to select either envelope.

After you select one and before opening it, you are given the option to change your mind and switch to the other one. You think to yourself that if your envelope has x dollars there is a 50% chance the other one has x/2 dollars and a 50% chance it has 2x dollars.

The expected return, you compute, is .5[.5x + 2x]=1.25x which seems like a favorable gamble. Do you switch

Assume you are neither risk averse nor risk prone, in other words you will take any good gamble and avoid any bad one.



HELP im stumped

Which color light has the highest frequency
green
violet
red
yellow



What is the general name for a solution that produces positive ions and has a pH of 0 to 7



What is measured by all of the following: miles, meters, light years



On VENUS the "rain" evaporates before it reaches the planet surface. The rain isn't water. What is it



Good luck to Stephen Harper in the Canada's election today. I have a bundle riding on you dude.

Which color light has the highest frequency
violet.

ultra violet and infra red are at opposite ends of the spectrum I think
high frequency light is violet and low frequency light is red



What is the general name for a solution that produces positive ions and has a pH of 0 to 7
Acid

What is measured by all of the following: miles, meters, light years
Distance.

On VENUS the "rain" evaporates before it reaches the planet surface. The rain isn't water. What is it
acid, sulphuric acid.