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Where The Other Wild Things Are Mystery Cache

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Difficulty:
3.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


 


The coordinates given above are not the location of the cache. They will take you to one of the many shopping malls in the city, a short walk away from the cache, where you will be able to cool off after your search!

In order to find this cache, you will need to solve the following puzzle:

There are 208 geocachers in Singapore. Each of them was asked if they liked traditional caches, multi-caches and mystery caches.

4 of them said they liked all three types of cache.

48 of them said they liked traditional caches.

There were twice as many who said they liked both traditional and mystery caches (but not multi-caches) as who said they liked both traditional and multi-caches (but not mystery caches), and 4 times as many who said they liked both traditional and mystery caches (but not multi-caches) as who liked all three types.

124 geocachers said they liked mystery caches.

27 geocachers said they did not like any of these three types of cache.

The group of geocachers who said they liked both traditional and mystery caches (but not multi-caches) was exactly the same size as the group who said they liked both mystery and multi-caches.

 

Actual Cache Location

1° 17.(A/4)(B-1)(C/3)’ N

103° (D-42).(E-15)(F)’ E

Where:

A = The number of geocachers who liked only traditional caches.

B = The number of geocachers who liked both traditional and multi-caches but not mystery caches.

C = The number of geocachers who liked both mystery and multi-caches but not traditional caches.

D = The number of geocachers who liked only mystery caches.

E = The number of geocachers who liked both mystery and traditional caches but not multi-caches.

F = The number of geocachers who liked only multi-caches.

You can check your answers for this puzzle at Geochecker.com.

Have fun!

Additional Hints (Decrypt)

Haqre gur envyvat ng gur raq bs gur cnirzrag.

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)