The worlds first riddle!

That's not quite true. A gallon of water weighs 8.33 pounds.

Figure 1
[size=7]500 pages
All but 100
1,21,31,41,51,61,71,81,91=9
10,12,13,14,15,16,17,18,19=9
11=1
Normal = 19
100
100-199=100
4*19+100=176 individual numbers will contain at least one "1"[/size]

Multiple ?'1's
[size=7]11,211,311,411,101,110,121,131,141,151,161,171,181,191-14 contain two ?'1's
111 contains three ?'1''s

Count the ?'1's
161 single ?'1's
14 two ?'1's
1 three ?'1's

161+2(14)+3=192
176 pages contain 192 ?'1's[/size]

P*Q=>(P+Q)/2
[size=7]3*(6*8)+>[3+(6+8)/2]/2=[3+7]/2=5[/size]

Bars and bigamy
[size=7]The two men were once married to the same woman. The daughter was adopted by one of the men and either was once adopted by the other man or was her biological father.

Hey! Divorces and bigamy happens.[/size]

3 Switches
[size=7]Turn all lights off, hang a DO NOT OPERATE tag and let sit for an hour or so whilst the maintenance guy pretends to solve hardware problems. Then turn two of the lights for about 5 minutes turn one of these switches off. Now go in the room. One is on, one is off and hot, one is hot and cold. You got three conditions for separation of switches and light bulbs.[/size]

Rap c∫;?/

markr--a pints a pound the world around, and 8 pints in a gallon.

The bulk density I normally use for water is about 60 pounds per cubic foot and there are about 7.48 gallons in a cubic foot, fer a density of 8.02 #/gal which is close enough.

On the other hand when in the mks system I use the density from my Nuclear Reactor Engineering Textbook that gives it as 1000kg/m^3 which corresponds to 62.42#/ft^2 or 8.34 #/gal.

So smile, everybody is right.

Try
Fergotten quizzle
1/A+1/B=1/3 if A=4 'n' B=12 or verse' visa
This kinda reminds me of Egyptian Fractions

Rap
Rap

A pound per pint is great for estimation, but certainly not for commerce.

Yeah! I kinda like a long ton per cubic meter.

Rap

Thanks for coming to my aid Rap, Mark loves to wail on me any chance he gets and I sure give enough opportunities.

It's race day in Cowes, I hope to return cup in hand.

Please be so kind as to not ask how the racing went. Thank you.


Mark:
BOOK
100+5*10+5*10 = 200

BOWLING
154

P AND Q
5

1/A + 1/B
4 and 12

WIVES AND DAUGHTERS
The younger one could be pregnant with a baby girl.
(She can't be pregnant cos she aint married yet) * see below.

LIGHT BULBS
Turn two of the switches on for 30 sec.
Turn one of them off.
The hot bulb that is off goes with the switch that was on then off. The others are obvious.

RICE
There are a lot more Chinese men than Japanese men. (Way to go)


Rap:

Figure 1
500 pages
All but 100
1,21,31,41,51,61,71,81,91=9
10,12,13,14,15,16,17,18,19=9
11=1
Normal = 19
100
100-199=100
4*19+100=176 individual numbers will contain at least one "1"

Multiple ?'1's
11,211,311,411,101,110,121,131,141,151,161,171,181,191-14 contain two ?'1's
111 contains three ?'1''s

Count the ?'1's
161 single ?'1's
14 two ?'1's
1 three ?'1's

161+2(14)+3=192
176 pages contain 192 ?'1's (Close but no cigar. Anyways you should not be smoking)

P*Q=>(P+Q)/2
3*(6*8)+>[3+(6+8)/2]/2=[3+7]/2=5

Bars and bigamy
The two men were once married to the same woman. The daughter was adopted by one of the men and either was once adopted by the other man or was her biological father.

Hey! Divorces and bigamy happens.

(Not in this case they don't)
The two men in question were both widowers with a daughter from a previous marriage. They both married the other's daughter.


3 Switches
Turn all lights off, hang a DO NOT OPERATE tag and let sit for an hour or so whilst the maintenance guy pretends to solve hardware problems.

Then turn two of the lights for about 5 minutes turn one of these switches off. Now go in the room. One is on, one is off and hot, one is hot and cold. You got three conditions for separation of switches and light bulbs.




Jason is lying dead. He has an iron bar across his back, and some food in front of him.

How did he die



A man walked into a bar, and before he could say a word, he was knocked unconscious. Why




The coach of the Jaguars' basketball team has a decision to make! Her team is one point behind and the final buzzer has just sounded. However, just at the buzzer, a bench foul was called on the opponents, the Rockets. The Jaguars' coach has to select one of the five players on the court at that time to shoot the free throw. If the player makes the foul shot, the game goes into overtime; if she misses, the Jaguars lose the game. Here are the foul-shooting statistics for the five players involved:

(Name/ Free Throws for the Season/ Free Throws during the Last Two Minutes)
(Jody / 6 out of 7 / l out of 3)
(Sara / 70 out of 100 / 18 out of 25)
(Ellen / 85 out of 130 / 14 out of 17 )
(Becky / 10 out of 15 / 5 out of 5)
(Rose / 100 out of 120 / 15 out of 25)

If you were the coach, which player would you choose


After the first 57 games of the basketball season, the Supersonics have a winning percent of .561 and the Jazz have a winning percent of .491. How many games behind the Supersonics are the Jazz


The numbers 2, 4, 6, and 8 are a set of four consecutive even numbers. Suppose the sum of five consecutive even numbers is 320. What is the smallest of the five numbers


A sightseeing boat is chartered by a social club at the rate of $10 per person, and they guarantee a minimum of 150 people. The boat company agrees to reduce the rate by 5 cents per person for each additional person over the 150 minimum. What number of passengers that will yield the boat company the maximum gross income


30! represents the product of all natural numbers from 1 through 30 inclusive: 1 x 2 x 3 x 4 x 5 x ... x 28 x 29 x 30. If the product is factored into primes, how many 5s will the factorization contain

"She can't be pregnant cos she aint married yet"

Since when is marriage a prerequisite for pregnancy?

[size=7]MAN & BAR
A bar to the head will do that to you. Was it the same bar that was across Jason's back?

FREE THROW
Apparently, the FTs in the last two minutes aren't included in the season stats. Otherwise, there'd be a problem with Jody's numbers.

Since we don't know the circumstances of the FTs in the last two minutes (were the games close or blowouts?), I'd combine the stats to get an overall percentage and go with Rose, who has the highest percentage and nearly the most attempts.

57 GAMES
4

EVEN NUMBERS
60

CHARTERED BOAT
175

30 FACTORIAL
6[/size]

"Please be so kind as to not ask how the racing went. Thank you."

I guess you're still across the Atlantic?

Mark wrote, "Since when is marriage a prerequisite for pregnancy?"

Very nicely written, I am sure an Amish told me.

MAN & BAR
A bar to the head will do that to you. Was it the same bar that was across Jason's back?

?'Sort of, Jason was a rat, think ?'rat trap''

FREE THROW
Apparently, the FTs in the last two minutes aren't included in the season stats. Otherwise, there'd be a problem with Jody's numbers.

Since we don't know the circumstances of the FTs in the last two minutes (were the games close or blowouts?), I'd combine the stats to get an overall percentage and go with Rose, who has the highest percentage and nearly the most attempts.

57 GAMES
4

EVEN NUMBERS
60

CHARTERED BOAT
175

(We were going along so well. However, I have 200. We need Rap to mediate)

30 FACTORIAL
6
(Here we go again. I have 7. Rap where are you?)



If I start with 2 and count by 3s until I reach 449, you will get: 2, 5, 8, 11, ... , 449 where 2 is the first number, 5 is the second number, 8 is the third number and so forth. If 449 is the Nth number, what is the value of N

If a number ends in zeros, the zeros are called terminal zeros. For example, 520,000 has four terminal zeros, but 502,000 has just three terminal zeros. Let N equal the product of all natural numbers from I through 20: N=lx2x3x4x ... x 20. How many terminal zeros will N have when it is written in standard form


A number has a remainder of I when divided by 4, a remainder of 2 when divided by 5, and a remainder of 3 when divided by 6. What is the smallest number that has the above properties


In a math contest of 10 problems, 5 points was given for each correct answer and 2 points was deducted for each incorrect answer. If Nancy answered all 10 problems and scored 29 points, how many correct answers did she have


Logic:

Mr MacDonald had a farm. On this farm lived many workers. One day as a direct result of Mr MacDonald's drinking, a terrible tragedy befell his farm. Many workers lost their lives, and much work was undone. Mr MacDonald went on as though nothing had happened and he was never questioned about the incident.

Why



Jason (aged 6) and Jeremy (aged 7) are seated on the living room couch, watching a very explicit, XXX rated movie. Their father, Kevin, enters the room and sits down on the couch next to them. Kevin is a good father and not at all immoral. Kevin acknowledges them, but says nothing about the porno movie that all three are now watching.

How come


"I guess you're still across the Atlantic?"

Yup. The Isle of Wight, which is an island of the UK coast for the Cowes week sailing. Just don't mention the sailing. It's back to polo for me. :wink:

30 FACTORIAL
7 is correct. I counted two for 25, but added them up wrong.

CHARTERED BOAT
I'm assuming that the price for all passengers goes down by a nickel times the number of passengers over 150. I maximized:
N*(10-(N-150)*.05)
Perhaps I interpreted the problem wrong.

[size=7]COUNT BY 3'S
150

TERMINAL ZEROS
Since it has 4 fives, it will have 4 terminal zeros.

REMAINDERS
57

NANCY
7

MACDONALD'S FARM
Were the workers beasts of burden?

PORN
Since we know Jason is a rat (this must be prior to the iron bar being across his back), perhaps Jerry and the Kevin are also rats (as far as I know, rats are not immoral).[/size]

COWES
You didn't sink, did you?

7 factors of 5 in 30! 1 each in 5,10,15,20 & 30 and 2 in 35.

Boat optimization

C=n[10-(n-150)*5/100]=n/100[1000-n+750]=(1750n-5n^2)/100=[350n-n^2]/20
dC/dn=0=350-2n so n=175

at n=175
then each passenger pays $10-25*0.05=$8.75
C=175*$8.75=$1531.25

Works for me

Rap

COWES
"You didn't sink, did you?"

The wind was so slight it fell short of blowing out candles on a cake. Rap could have peddled faster. Give me an engine anytime.


Mark wrote, "Perhaps I interpreted the problem wrong."

Looking a rap's answer, so did I.

Rap:
Boat optimization

C=n[10-(n-150)*5/100]=n/100[1000-n+750]=(1750n-5n^2)/100=[350n-n^2]/20
dC/dn=0=350-2n so n=175

at n=175
then each passenger pays $10-25*0.05=$8.75
C=175*$8.75=$1531.25

Works for me

(Wow! Works for me too.)




A circular track is 1000 yards in circumference. Cyclists A, B, and C start at the same place and time, and race around the track at the following rates per minute: A at 700 yards, B at 800 yards, and C at 900 yards. What is the least number of minutes it must take for all three to be together again


Three water pipes are used to fill a swimming pool. The first pipe alone takes 8 hours to fill the pool, the second pipe alone takes 12 hours to fill the pool, and the third pipe alone takes 24 hours to fill the pool. If all three pipes are opened at the same time, how long will it take to fill the pool

The Pool made a fool out of me

Nth entry
[size=7]2+3*n=449
so n=149
since n=0 is the first entry
449 is the 150th entry[/size]

20! Terminal 0's
[size=7]20 has 4 factors of 5 and at least 4 factors of 2, so there are four terminal 0's (10^4)[/size]

not so divisible number
[size=7]n=57
57mod4=1
57mod5=2
57mod6=3[/size]

Test
[size=7]r+w=10
5r-2w=29
7r=49 so r=7 w=3
7 right answers[/size]

Old MacDonald was a bee farmer

Jason, Jeremy and Kevin are dogs and are all in trouble for being on the couch.

Rap c∫;?/

[size=7]CIRCULAR TRACK
B laps A every 10 minutes
C labs B every 10 minutes
10 minutes

T/8 + T/12 + T/24 = 1
3T + 2T + T = 24
6T = 24
T = 4 hours[/size]

COWES
Were you a frustrated participant or a bored observer?

Rap

Nth entry
2+3*n=449
so n=149
since n=0 is the first entry
449 is the 150th entry

20! Terminal 0's
20 has 4 factors of 5 and at least 4 factors of 2, so there are four terminal 0's (10^4)

not so divisible number
n=57
57mod4=1
57mod5=2
57mod6=3

Test
r+w=10
5r-2w=29
7r=49 so r=7 w=3
7 right answers

Old MacDonald was a bee farmer (Bee's, ant's or even worms all fit)

Jason, Jeremy and Kevin are dogs and are all in trouble for being on the couch.


Mark:

COUNT BY 3'S
150

TERMINAL ZEROS
Since it has 4 fives, it will have 4 terminal zeros.

REMAINDERS
57

NANCY
7

MACDONALD'S FARM
Were the workers beasts of burden? (Just like all workers)

PORN
Since we know Jason is a rat (this must be prior to the iron bar being across his back), perhaps Jerry and the Kevin are also rats

(as far as I know, rats are not immoral). ?'You don't know me then.'

CIRCULAR TRACK
B laps A every 10 minutes
C labs B every 10 minutes
10 minutes

T/8 + T/12 + T/24 = 1
3T + 2T + T = 24
6T = 24
T = 4 hours


COWES
"Were you a frustrated participant or a bored observer?"

Funny you should say that; Due to very light wind in a heavy boat, I was a both a frustrated participant and a bored observer.


A train can hold 78 passengers. The train starts out empty and picks up 1 passenger at the first stop, 2 passengers at the second stop, 3 passengers at the third stop, and so forth. After how many stops will the train be full


If a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there is no remainder. What number between 1 and 100 satisfies the above conditions


Consecutive numbers are counting numbers that follow in order as in 7, 8, 9, 1 0, and so forth. Suppose the average of 15 consecutive numbers is 15. What is the average of the first five numbers of the set


Toy-train cars made of blocks of wood either 6 inches long or 7 inches long can be hooked together to make longer trains. Which of the following train-lengths cannot be made by hooking together either 6-inch train cars, 7-inch train cars, or a combination of both: 29 inches, 30 inches, 31 inches, 32 inches, 33 inches


Six dollars were exchanged for nickels and dimes. The number of nickels was the same as the number of dimes. How many nickels were there in the change

[size=7]TRAIN
12

REMAINDER
91

AVERAGE
10

TOY TRAIN
29

MONEY
40[/size]

passengers
triangular numbers
n(n+1)/2=78
n^2+n-2*2*3*13=0
(n+13)(n-12)=o
n=12 stops

Divisible #
[size=7]trying new shorthand here n|3 & n|5 so n|15
{15|7;1,2,3,4,5,8 E15,30,45,60,75,80}| so n=15[/size]

consecutive #
[size=7]Sum=15n+14*15/2=15(n+7)
so n+7=15 and n=8[/size]

Toy trains
[size=7]29,30,31,32,33
29 is the 0ne
30|6=0, 31|6=1, 32|6=2, 33|6=3
29|6=5 Thhere are only 4 6" cars
Confirm---29"[/size]

Nickles and Dimes
[size=7]a-b=0
10a+5b=600
15a=600
a=40, b=40
so 40 dimes and nickles.[/size]

Rap



[

Mark:

TRAIN
12

REMAINDER
91

AVERAGE
10

TOY TRAIN
29

MONEY
40


Rap:

passengers
triangular numbers
n(n+1)/2=78
n^2+n-2*2*3*13=0
(n+13)(n-12)=o
n=12 stops

Divisible #
trying new shorthand here n|3 & n|5 so n|15
{15|7;1,2,3,4,5,8 E15,30,45,60,75,80}| so n=15

'Go back to longhand'

consecutive #
Sum=15n+14*15/2=15(n+7)
so n+7=15 and n=8

Toy trains
29,30,31,32,33
29 is the 0ne
30|6=0, 31|6=1, 32|6=2, 33|6=3
29|6=5 Thhere are only 4 6" cars
Confirm---29"

Nickles and Dimes
a-b=0
10a+5b=600
15a=600
a=40, b=40
so 40 dimes and nickles.




The air above planet Xarz is thick with 258,750 soaring hifi-lees. Unfortunately, hifi-lees must pay a yearly fee for using airspace. Infant hifi-lees travel up to 10 miles per day and pay a $1 fee; children travel up to 20 miles per day and pay a $2 fee; teenagers fly 31 to 50 miles per day and pay a $3 fee; adults travel over 50 miles per day and pay a $4 fee.

The hifi-lee fee collector says there are three times as many teenagers as children, one-half as many adults as teenagers, and one-fourth as many infants as children this year. How much money will the collector get from the hifi-lees this year


On the planet Pluto, the heater salesman has a very lucrative business. This year, Mr. Zerox has added to his heater line and now carries the jumbo heater for 16 etrogs. (That is the equivalent of $23.40 in US currency). He also has the giant heater for $18.35, the large-sized heater for $13.50, the medium-sized heater for $8.65, and the small heater at $3.77. So far this month Mr. Zerox has sold 72 heaters for a total number of etrogs equal to $974.38.

How many heaters of each size has he sold


If you cut a cardboard tube, you will find that it is a rectangle. How much cardboard is used in a tube if its length is 5.5 inches and its circumference is 6 inches


If you put milk in a milk jug, tea in a teapot, butter in a butter dish, what do you put in a toaster

The Taxman collecteth
[size=7]Solving as Matrix
inf chi tnger adt
1 0 0 0 11250 $11250
0 1 0 0 45000 $135000
0 0 1 0 135000 $405000
0 0 0 1 67500 $270000

The Tax man gets $821250[/size]

Monthly Heater Sales
[size=7][size=7]jumbo-14 giant-0 med-44 smal-14l
$327.6 $0 $594 $52.78 $974.38[/size][/size

Cardboard
[size=7]rectangle is 5.5in tall and 6 inches long (33 in^2 cardboard)[/size]

You put bread in a toaster

Rap