The worlds first riddle!

Try: Some of your patterns are disconnected, and the second won't work. I think you have some alignment problems.

Mark wrote, "Try: Some of your patterns are disconnected, and the second won't work."

Quite right, they did not look like that earlier. However, all now appears well. If you can come up with another shape, I shall be delighted to hear from you.

"I think you have some alignment problems."

Schoosh! Don't tell Rap.

Rap:

Average
n=5*6-4*7=28 (8 too many)

Camera
Serial Number 2835

Bananas
n=m*5*6=m*30
30mod7=2 group 2,4,6,1,3,5,0 m=4
m*20=130
120 bananas

Perfect Square
n=10,100=100^2
so for n<100 there's 99 unless 0^2 is included, then it's 100


Mark:
FIVE NUMBERS
2

SERIAL NUMBER
2835

BANANAS
120

SQUARES
99




A2K has 20 new offices that each need to have a number placed on the door. The office manager will purchase metal numerals and nail them to the doors. The cost of the numerals varies depending on the digit:

1 = 1 Kwanza
2 = 2 Kwanzas etc.
0 = 10 Kwanzas

So, for example, putting the number 6 on a door would cost 6 Kwanzas. The number 13 would cost 4 Kwanzas. The number 10 would cost 11 Kwanzas.

The only requirement is that the numbers be in consecutive order. What is the least expensive way to do the job


Mark, Rap and Zippy rode their bicycles to school. Each had a chain and a lock. Mark locked his bike to a lamppost and to Rap's bike. Rap locked his bike to the lamppost and also to Zippy's bike. Zippy locked his bike to the lamppost and to both Mark and Rap's bikes. Each bike was now held by two locks.

Later that day Mark lost his key! With the two keys they had left, they could unlock only one of the bicycles. Whose bicycle was it

[size=7]OFFICE NUMBERS
1-20 is $122. Starting with a higher number will cost more.
Substituting 6 for 9 lowers the cost to $116.

BICYCLES
Zippy's[/size]

Door Numbers

[size=7]Simplest way is to number them from 1 to 30

C=$2*10*9/2+11*$1+2*$10=$90+$11+$20=$121
But if the inverse of a 6 becomes a 9I'd mind cause I could save the company $6, and the cost would be $115[/size]

Bike Locks



Rap c∫;?/

LIGHTHOUSE
Interesting - I'll need to think about this one.

[size=7]TENNIS BALLS
Since pi > 3, ...

A9543B
7

SIX NUMBERS
15

3AA1
7

MARBLES
60[/size]

LIGHTHOUSE
I assume that questions are directed toward individuals, and therefore, persons three and four don't base their answers on the previous response until the second question that is directed their way.

The following method will take no more than five questions, but could take as few as two.

[size=7]Ask "Do you always tell the truth?" until you get a "no" response. Then ask this person which road leads to the lighthouse.

The only person who will answer "no" is person three. Since person three just told the truth, he will answer a follow-up question truthfully.[/size]
I don't know if this is optimal.

LIGHTHOUSE
Added assumption: they each are aware of the others' habits. This method always takes four questions.

[size=7]Pick one (call him A). Ask these three questions:
Does B always tell the truth?
Does C always tell the truth?
Does D always tell the truth?

Person one will answer with "no, no, no."
Persons two and four will answer (perhaps not in this order) with "no, yes, yes" where the "no" applies to person one.
Person three will answer (perhaps not in this order) with "yes, no, no" where the "yes" applies to person one.

If you get "no, no, no," then ask that same person which road to take.
If you get "no, yes, yes," then ask the person that the "no" applied to which road to take.
If you get "yes, no, no," then ask that same person or the person that the "yes" applied to which road to take.[/size]

Rocky Island Guides



Tennis Balls doesn't even take math
[size=7]3<pi---so wrap is longer than up the side---I'd go for up the side, though, it's more visible[/size]

6 digit number
[size=7]A9543B= 795432
A=7[/size]

Average plus 10
[size=7]Average=(5*16+10)/6=15[/size]

4 digit number
[size=7]3AA1=3771
A=7[/size]

Marbles


Rap c∫;?/

I would think you'd see the 75 meter high lighthouse on a ~2 hectare island, so no questions are needed.

[size=7]PYRAMIDS
The pyramids will provide nearly 5600km of wall.
Assuming France is square (it's not, but it's not too far off from being squarish), its area would have a perimeter of about 3000km. I'd say the wall could completely surround France.[/size]

Pyramids


1. Why is a crossword puzzle like a quarrel--it's full of cross words

4. What time is it when the clock strikes thirteen--time to call the repairman

5. What is black and white and re(a)d all over--newspaper

Rap c∫;?/

Label--Actually nothing. Most liquids are sold in containers based upon liquid weight measure conversions. Say a liter volume weighs 1 kg when filled with water, and a US Gallon is (about) 128 fluid oz (of water).

However this conversion does lead to an interesting difference---fer instance

conversion from gal to liter (by weight) is
1 gal=(128/16)/2.2=3.6 kg=3.6L
and by Vol, it is
1 gal=231*(2.54)^3/1000=3.78L
remembering 1 gal=231 cubic inches

Rap

A gallon is a unit of capacity, not weight. The density of the contents will determine the weight.

The liquids in my pantry are labeled by capacity (fluid ounces), not weight.

PYRAMIDS
Wow! My back of the napkin conversion of area to perimeter was off by a factor of 2.

[size=7]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.

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.[/size]