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Pot of Gold Mystery Cache

Hidden : 8/21/2005
Difficulty:
4 out of 5
Terrain:
2 out of 5

Size: Size:   micro (micro)

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Geocache Description:

This is a puzzle cache. Solve the list of puzzles to find the coordinate of the cache! The cache is placed in one of the nicest but least known about outdoor areas of Pretoria East. It is accessible during daylight hours only. Bring a picnic basket and relax by the waterfall.


First to Find was BJBez!

If you need more clues to solve the puzzles, please send me a mail.

Puzzle 1

If it were an hour later, it would be twice as long until midnight as it would be if it were two hours later. What's the time now?
Answer to Puzzle 1 is ABCD if the time is AB:CD in 24hr format. (14:23 would give you 1423)

Puzzle 2

Find the next number in the sequence:
0, 3, 8, 15, 24, 35, 48, 63, 80, 99, ?

Puzzle 3

Two fathers are having a conversation:
- John, how old are your children?
- Well Jim, I have three children and if you multiply all their ages together you get 36
- Ok, but I need more information...
- The sum of their ages is exactly the number of beers we've just had.
- Oh, ok. But's it's still not enough information.
- Fine. My oldest child likes to drink coffee.
- Ah! Now I know.
How old are each of the children?
Answer to Puzzle 3 is the digits of their ages in ascending order. So if there ages were 2, 3 and 12, the answer would be 2312.

Puzzle 4

Johnny draws a square in the sand, with each side exactly 1 metre in length. Cyril is a genius, and draws a perfect circle that touches each side of the square. Johnny, not to be outdone, draws another square inside Cyril's circle, each corner touching the circle. What is the length of the sides of the smallest square?
Take the first 3 digits after the decimal. For example, if the answer is 0.23456 metres, use 234.

Puzzle 5

Pi (3.141592654...) is a fascinating number. It's the ratio of a circle's circumference to its diameter, but it pops up everywhere in life. For example, a river's ratio of its running length to the direct distance between its source and its delta, is Pi! Also, the sequence of digits in Pi is random. If you think of any number (eg your telephone number), that number will appear in consecutive digits somewhere in Pi. Not only does it describe shapes, but its ratio is integral to eveything from how musical notes sound or how quickly your heart beats.

The cache's Latitude is Sab cd.efg where abcdefg are the 7 consecutive digits of Pi starting at the 26,024,374th digit after the decimal point.

Finding the coordinate

The Latitude is found in Puzzle 5.
The Longitude is the form E28 16.XYZ, where
XYZ= Puzzle 1 - Puzzle 2 - Puzzle 3 - Puzzle 4 - 258
To check whether you have correctly calculated, add each single digit of the coordinates together. You should get 69.

Additional Hints (Decrypt)

Chmmyr 2: Yrff guna n fdhner. Chmmyr 3: Yvfg nyy cbffvovyvgvrf gung zhygvcyl gb 36. Chmmyr 4: Clguntbenf. Chmmyr 5: Tbbtyr Cv Frnepu. Purfg uvtu

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)