The worlds first riddle!

MISSING CITY
Detroit (L.A. doesn't have an NFL team)

CLOCK HANDS
44

DOTS
There are six (C(4,2)) edges to consider for connecting the four dots.

If it is not required that a path exists between any two dots, then there are 64 (2^6) ways (including no edges at all).

If it is required that a path exists between any two dots, then there are 38 (C(6,6) + C(6,5) + C(6,4) + C(6,3) - C(4,1)).
1 way with all 6 edges
6 ways with any 5 edges
15 ways with any 4 edges
20 ways with any 3 edges, but 4 of these are triangles with an isolated node

If it is only required that each dot be connected to at least one other dot, then there are 3 more ways that can be added to the 38 to make 41. These consist of using two edges to connect the points in disjoint pairs.

EAST/WEST COAST TIME
1:30 AM

Mark:
CLOCK HANDS
44

Twice each hour equals 48, less one between 2:00 and 4:00 and one between 8:00 and 10:00 for both A.M. and P.M.




Mark:
MISSING CITY
Detroit (L.A. doesn't have an NFL team)


Well, that's an answer I did not expect, and equally valid together with:


• Richmond

Each of the cities is a location for a Federal Reserve. The cities are listed in alphabetical order based on the letter that represents each city on a dollar bill.



Mark:
EAST/WEST COAST TIME
1:30 AM


One is in Eastern Oregon (in Mountain time), the other in Western Florida (in Central time), and it's daylight-savings changeover day at 1:30 AM.




Don't try this at home!

You have a rubber balloon with a string attached to it, and a weight attached to the other end of the string. You put just the right amount of air in the balloon such that if you submerge the balloon and weight under water to a depth of 30 feet, the balloon will not rise or sink (its buoyancy force is exactly balanced by gravity).

You then pull the balloon and weight down another 30 feet. If you let the balloon go at this depth, will it rise or sink
(Assume that the water temperature is the same at both depths.)

• The balloon will remain in place.
• The balloon will sink.
• The balloon will rise.
• If the balloon weighs the same as a duck, it's made of wood.




Casta T the Treasurer was a bit of a scatterbrain, and had forgotten how many gold, silver and bronze coins were kept in the town vaults. So he decided to ask the three guards, each of whom guarded one type of coin, how many coins were in his charge.

However, the guards were uncooperative, and the best that Casta T could get from each was a statement about the numbers of coins in the other two vaults.

Bekman, who was guarding the gold, said there were 3000 silver and 5000 bronze coins.

Domarkt, who was in charge of the silver, said there were 3000 gold and 5000 bronze.

Chrysalis, who was protecting the bronze, said there were 4000 gold and 3000 silver.

Unfortunately, only one guard was being truthful, each of the other two stating at least one false amount. If there were 12000 coins altogether, how many of each type were there

• 4000 gold coins, 5000 silver coins, 3000 bronze coins
• 5000 gold coins, 3000 silver coins, 4000 bronze coins
• 4000 gold coins, 3000 silver coins, 5000 bronze coins
• 3000 gold coins, 4000 silver coins, 5000 bronze coins
• 3000 gold coins, 5000 silver coins, 4000 bronze coins

BALLOON
I believe the increase in pressure will compress the balloon causing it to displace less water and become less bouyant. Therefore, it will sink.

COINS
3000 gold, 4000 silver, 5000 bronze

Balloon:

Mark is correct, the balloon will sink. Ask any diver; neutral bouyancy is inherently unstable.

Mark:
BALLOON
I believe the increase in pressure will compress the balloon causing it to displace less water and become less buoyant. Therefore, it will sink.


DrewDad:
Mark is correct, the balloon will sink. Ask any diver; neutral buoyancy is inherently unstable.

DD is correct in his support for Mark.


At a depth of 60 feet, the water pressure is greater than it is at 30 feet (by about 15 psi). Because of this, the balloon will shrink, causing the balloon/weight system to increase in density (the total volume is smaller while the total mass stays the same). Since the system is now more dense than it was at 30 feet, it will sink.

Also important is the fact that since water is pretty much incompressible, the water density at both depths will be about the same.


Mark:
COINS
3000 gold , 4000 silver , 5000 bronze

Assume each statement to be true in turn and examine the consequences. If Bekman is telling the truth, there are 3000 silver coins, 5000 bronze coins and hence 4000 gold coins. However, this would make Chrysalis's statement true also. By symmetry if Chrysalis is truthful so is Bekman.
Only if Domarkt is telling the truth are the other statements false.



Grandpa: "My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 140 years. Can you tell me my age in years "

• 86
• 82
• 78
• 80
• 84




The son of a rich bullion merchant left home on the death of his father. All he had with him was a gold chain that consisted of 99 links. He rented a place in the city center with a shop at the lower level and an apartment at the upper level. He was required to pay every week one link of the gold chain as rent for the place.

The landlady told him that she wanted one link of the gold chain at the end of one week, two gold links at the end of two weeks, three gold links at the end of three weeks and so on.

The son realized that he had to cut the links of the gold chain to pay the weekly rent. If the son wished to rent the place for 99 weeks, what would be the minimum number of links he would need to cut

• 2
• 4
• 6
• 12
• 24

GRANDPA
84

LINKS
4

Did you say..."higher league?" Are you making fun of me? How many people on a2k have ever walked onto a thread and publicly admitted/stated that they are clueless? btw.

Dear Paulaj, my point, no matter how poorly made was; that you were being unduly harsh on yourself by your comments when you write in many of the above (higher) forums (leagues), Spirituality & Religion, Original Writing, Art etc. If my muted tones to support your talents (ability/insight) have been misunderstood, the fault lies with me.

The chances of me making a less than complementary statement directed towards you are about equal to the sum - n that Markr will ever a wrong answer make.

Talking of wrong answers, we will not find any here today!

Mark:
GRANDPA
84


Grandpa: "This problem is conveniently solved by writing down the necessary equations. Let m be my age in years. If s is my son's age in years, then my son is 52s weeks old. If g is my grandson's age in years, then my grandson is 365g days old. Thus, 365g = 52s.
Since my grandson is 12g months old, 12g = m.
Since my grandson, my son and I together are 140 years, g + s + m = 140.

The above system of 3 equations in 3 unknowns (g, s and m) can be solved as follows.
m / 12 + 365 m / (52 x 12) + m = 140 or
52 m + 365 m + 624 m = 624 x 140 or
m = 624 x 140 / 1041 = 84.





Mark:
LINKS
4



The minimum number of cuts needed to be made is 4 for a chain with 99 links. If the links are numbered serially from 1 to 99, then the cuts would be made on the following links: 6, 17, 38, and 79. This would result in 4 one-link pieces, one 5-link piece, one 10-link piece, one 20-link piece, one 40-link piece, and one 20 piece.





The 8" pizza sells for $ 3.99 at my favorite pizza store. The store claims they have a great deal on the large 12" pizza, which is specially priced at $ 8.08. What is the percent discount the store is offering

• 10
• 15
• 6
• 12.5
• 8.5




The distance between Station Aena and Station Barcena is 78 miles.
A train starts from Aena towards Cena. A bird starts at the same time from Cena straight towards the moving train.

On reaching the train, it instantaneously turns back and returns to Cena. The bird makes these journeys from Cena to the train and back to Cena continuously till the train reaches Cena. The bird finally returns to Cena and rests.

If the bird flies at 70 miles per hour and the speed of the train is 60 miles per hour, what is the total distance in miles the bird travels

• 83
• 75
• 129
• 67
• 91

PIZZA
10%

BIRD
91 miles

Yah-yah, bla-bla-bla...............Nice Try!... ...I mean, nice...., your just..............................................<pay attention self>.

<confusion sets in, needs to coach self out of it, thoughts in head echo (like in the movies)>

"I've got to ...concentrate-concetrate-concentrate,.....CONCENTRATE-CONCENTRATE-CONCENTRATE!.........................aha!

Fully confident, and now armed with a remark that could send Tryagain into a fetal position, for (God knows how long), paulaj types her comeuppance assault-



Tryagain, I'd just like to say one thing ......................DITTO!


I hope I wasn't to harsh. Carry on (sorry for the derailment).

Mark:
PIZZA
10%



Mark:
BIRD
91 miles



The train (at a speed of 60 miles per hour) travels 60 miles in 60 minutes. Therefore, the train travels from Aena to Cena (78 miles) in 78 minutes. Importantly, the bird makes the journeys continuously back and forth for this same amount of time (namely, 78 minutes). Thus, the total distance traveled by the bird = 70 miles per hour x 78 minutes = 70 x 78 / 60 miles = 91 miles.




A set of football matches is to be organized in a "round-robin" fashion, i.e., every participating team plays a match against every other team once and only once. If 78 matches are totally played, how many teams participated

• 13
• 12
• 17
• 15
• 14





A person acquires 1 to 5 million bacteria when:

• brushing their teeth
• flushing a toilet
• washing dishes
• eating a meal
• kissing someone





When was the beginning of the twenty first century

• 11:59.59 PM-December 31, 1999
• 12:00.01 AM-January 1, 2000
• 12:00.00-January 1, 2000
• 12:00.00-January 1, 2100
• none of these

FOOTBALL
13

BACTERIA
Kissing someone (guess)

CENTURY
none of these
January 1, 2001

Mark:

FOOTBALL
13

BACTERIA
Kissing someone

CENTURY
none of these
January 1, 2001





What was the fastest time on record for the Pony Express to deliver a letter from St. Joe's MO, to Sacramento Ca, a distance of around 2000 miles

• 1 month
• 8 days
• 1 day
• 6 days
• 10 days




Which of the following products of the U.S. Mint, contains no copper

• 2000 Sacagawea Dollar
• 1878 Morgan Liberty Head Dollar
• 1858 Flying Eagle Cent
• 1999-2000 50 State Quarters
• 1943 Abraham Lincoln Cent





Most everyone knows that Alexandre-Gustave Eiffel designed the famous tower in Paris that bears his name but which of the following did Eiffel also design or co-design)



The Empire State Building, New York City.

Einstein Tower, Potsdam, Germany.

The Statue of Liberty, Ellis Island, NY Harbor.

Lovell Beach House, Newport Beach, California, USA.

Kaufman House (Falling Water), Bear Run, PA, USA.