The worlds first riddle!

No answer to the GEORGIA problem, or the Series. I now go for the grand slam:



There was this guy who when asked about his age remarked, "I was x years old in the year x^2."


When was he born if he died in 1871

[size=8]He was born in 1806.[/size]

I have no clue about the sequence.

I forgot about the Georgia problem.

SERIES - hint:

The next number would be 4, and the sequence would repeat.

Why

Try

I solved your Georgia problem. It's not my fault if you don't understand the answer.

As for the series, the next number would be 4 because 4 is a happy number.

Actually, four is unhappy.

I suck at mathamaticus. I also suck at judging the happiness of numbers I know only in passing, but I do remember that square the digits thing from a few years ago.... which is to say.... I was wrong.... oh well.

so i googled "4 16 37 58 89 145 42 20" and....

4^2= 16
1^2 + 6^2 = 37
3^2 + 7^2 = 58 etc.
the sequence will repeat.
also u can start out with any positive number and it will either lead to this sequence or a string of 1's

Adrian our OZ correspondent writes, "I solved your Georgia problem. It's not my fault if you don't understand the answer. "


I remember you Bruce, always with the cryptic you were making already.



I give you Adrian's answer:

In area code 530 it's the phone number for Ron Hilton from the Church Of The Nazarene. In area code 607 it's the phone number for DeWitt Mall. Dunno what it is in area code 404.





A = 8
D = 5
E = 7
G = 2
H = 4
I = 1
N = 6
O = 3
R = 9
V = 0



Can anyone see what he is on about?



Without the help of medication he continues, "As for the series, the next number would be 4 because 4 is a happy number"


Mark replies, "Actually, four is unhappy."


I am the first to admit I have never considered the ?'feelings' of numbers, except when you shout ?'four' in golf, and then you are indeed unhappy. However, I am pleased to note:


Thoh comes to the rescue with:

4^2= 16
1^2 + 6^2 = 37
3^2 + 7^2 = 58 etc.
the sequence will repeat.
also u can start out with any positive number and it will either lead to this sequence or a string of 1's


Thank you for clearing up that relationship.




I know for a fact that; there is a single 21 foot high vertical palm tree growing in the middle of Mark's back yard. On a certain day, the sun will rise at 6:00 AM and set at 6:00 PM.

At noon on that day, the sun will be directly overhead and the trunk of the palm tree will cast no shadow.

A calculus teacher, who was visiting, stayed the night before this special day, and was awakened in the morning when the sun rays reached his eyes, which were 13 feet due west from the tree.

What time did he awake

For simplicity please round your answer to the nearest minute. (Please note there is no ?'happy' hour) Thank you and good night

Google 273 9218. The church is in Grass Valley, CA.


Google "happy numbers" to turn those confused emoticons into happy emoticons.

Quote:

"Pastor Brian and Pastor Cindy Johnson ~ ... CHURCH OF THE NAZARENE Ron Hilton ~ 273-9218 10220 Hughes Rd., Grass Valley, CA ..."


Quote:

"Once it is known whether a number is happy (or not), then any number in the sequence , , , ... will also be happy (or not). A number that is not happy is called unhappy. Unhappy numbers have eventually periodic sequences of which never reach 1.

Any permutation of the digits of an unhappy or happy number must also be unhappy or happy. This follows from the fact that addition is commutative."



OMG you Guys are not just cryptic, you are freeking geniuses. That is just so

he woke up at.....

9:53am
...the angle the shadow makes with the ground is inverse tan (21/13)
...assuming the sun is really really far away, thats the same angle as the one from the bottom of the tree to the sun as it rides the big semicircle in the sky
...the time is 6am + [inverse tan (21/13)]/pi x 12hrs

Thoh:

he woke up at.....

9:53am
...the angle the shadow makes with the ground is inverse tan (21/13)
...assuming the sun is really really far away, thats the same angle as the one from the bottom of the tree to the sun as it rides the big semicircle in the sky ...the time is 6am + [inverse tan (21/13)]/pi x 12hrs


Thoh joins the ranks of super hero's. BTW did we ever meet in Chicago?



Therefore: (21/13) = 58.24 degrees.
Using direct proportions, change the angle into hours and minutes:
58.24 / 180 = x hours / 12 hours => x = 3.88 hours.
.88 hours / 1 hour = y minutes / 60 minutes => y = 52.8 minutes.
So the answer is 6:00 AM + 3 hours + 53 minutes, or 9:53 AM.




The fact that Thoh has a tan, reminds me of:

An Australian killer bug of negligible dimensions starts at the origin (0,0) of the standard two-dimensional rectangular coordinate system. The bug walks one unit right, then one-half unit up, then 1/4 unit left, then 1/8 unit down, etc.

In each move, it always turns counter-clockwise at a 90 degree angle and goes half the distance it went on the previous move.

Which point (x,y) in the x,y plane is the bug approaching in its spiralling journey



No Dingo's were hurt in the making of this question.

DID we meet in chicago?

bug....

x coordinate: 1 - 1/4 + 1/16 - 1/256 +.... = 4/5
y coordinate: 1/2 - 1/8 + 1/32 - ... = 2/5
so the point (4/5, 2/5)

Thoh:

bug....

x coordinate: 1 - 1/4 + 1/16 - 1/256 +.... = 4/5
y coordinate: 1/2 - 1/8 + 1/32 - ... = 2/5
so the point (4/5, 2/5) ,


Elegant and correct, because:

You can think of the x and y coordinates as each being the sum of an infinite geometric series.
x = 1 - 1/4 + 1/16 - 1/64 + 1/256 + ...
Using the formula for the sum of an infinite geometric series,
S = a1 / (1 - r) where a1 = 1 (the first term) and r = -1/4 (common ratio),
S = 1 / (1 - (-1/4)) = 1 / (5/4) = 4/5
Similarly, y = 1/2 - 1/8 + 1/32 - 1/128 + ...
So, S = (1/2) / (1 + 1/4) = 2/5


Chicago: That depends on, if you like the Simpson's and Chinese food!




A certain Chinese teacher travels down Interstate 81 from Winchester to Harrisonburg at a constant rate of 60 mph. He returns over the same distance at a constant rate of 30 mph.

What was the average rate of speed over the entire round trip

yes i love the simpsons and chinese food is good.....

trip...

40mph....
assume distance is 60miles.....1st trip takes 1hr, return trip takes 2hrs
avg rate = total distance/total time = 120miles/3hrs

Thoh:

trip...

40mph....
assume distance is 60miles.....1st trip takes 1hr, return trip takes 2hrs
avg rate = total distance/total time = 120miles/3hrs


Quite right, it is not half of the speed, which I had hoped someone would say 45, but as usual no one was fooled.



A certain calculus teacher from UIUC uses the following grading formula to determine a student's grade:

He averages all the tests together and calls that the Test average.
He averages all the quizzes together and calls that the Quiz average.
He figures the student's grade by the formula:
Grade = (2 * Test Average + Quiz Average) / 3

After 3 tests and 2 quizzes, the student's Test Average is 83 and her Quiz Average is 89. What did she get on her 4th test if her overall grade dropped to an 83


P.S. Can you give a general formula for this situation?

That is, given the previous Test Average (T), previous Quiz Average (Q), the number of previous tests (N), and the new overall grade (G), what mark (M) must the student have gotten on the next test

[size=8]TESTS
I get:

M = 1.5 * (N+1) * (G - Q/3) - (N*T)

M = 71 for the given situation.[/size]

Try,

r u implying we know each other....or better yet, u know me but i dont no u?

Thoh, this is the Riddles forum, a simple case of mistaken identity

imagine a 8ft x 12ft room with 10ft high ceiling
the 8ft wide wall faces north
a fly is sitting on the north wall 1 foot off the floor and 6 feet from the east wall
a spider is sitting on the west wall 1 foot off the ceiling and 8 feet from the south wall
what is the slowest the spider can walk (in inches/second) to catch the fly if the fly will fly away in 6 minutes?