Skip to content

It's Perfectly Logical Mystery Cache

Hidden : 11/1/2020
Difficulty:
3.5 out of 5
Terrain:
2 out of 5

Size: Size:   micro (micro)

Join now to view geocache location details. It's free!

Watch

How Geocaching Works

Please note Use of geocaching.com services is subject to the terms and conditions in our disclaimer.

Geocache Description:


The cache is not at the published coordinates. The cache you are looking for is hidden inside an outer container that is hidden mostly in plain sight. Please do not damage or remove the outer container. Thanks to Wandafree for making the outer container.

The real coordinates are:
N 54° 16.*** W 000° 23.***

To fill in the blanks, solve the puzzle below.


Assume that the following 17 statements are true:

S1: Animals are either red or blue, but not both.
S2: Bats wear hats.
S3: If an animal cannot do calculus, it does not wear hats.
S4: Elephants keep bats and only bats as pets.
S5: Elephants can do calculus if and only if their pet can.
S6: Elephants never keep a red pet.
S7: Blue animals are loyal.
S8: If an animal is red, it is either an elephant, giraffe or cat.
S9: Tiddles is a cat.
S10: Joseph is blue or Selene is wise.
S11: Selene is the pet of Joseph.
S12: It is not the case that both Selene is wise and Tiddles is red.
S13: Cats like and only like giraffes.
S14: Joseph wears a hat if and only if Selene does not.
S15: Joseph is neither a cat nor a giraffe.
S16: Joseph is not loyal.
S17: Quackers is a duck.


Let x begin at 0.

Q1: Is Selene wise?
    If yes, add 1 to x.

Q2: Is Selene red?
    If yes, add 2 to x.

Q3: Is Selene a giraffe?
    If yes, add 4 to x.

Q4: Is Quackers blue?
    If yes, add 8 to x.

Q5: Can Joseph do calculus?
    If yes, add 16 to x.

Q6: Does Joseph wear a hat?
    If yes, add 32 to x.

Q7: Is Tiddles loyal?
    If yes, add 64 to x.

Q8: Does Tiddles like Joseph?
    If yes, add 128 to x.


This is a purely logical puzzle, so real world knowledge of animals (etc.) is irrelevant; although you can assume that bats, cats, ducks, elephants and giraffes are all animals and that an animal will always be exactly one of those sub categories.


Work out the answer to the following:
(x + 66) * 1599 - 139

This will give you a 6-digit number that can be used to fill in the blanks in the coordinates.
 

As with any puzzle of mine, feel free to message me if you want help with any aspect of this puzzle.

Congratulations to mandndave for FTF.
Last cache check: 13 July 2025

Additional Hints (Decrypt)

[PUZZLE]: Gurer ner ab erq ureevatf. Rnpu bs gur 17 fgngrzragf vf hfrq ng yrnfg bapr va gur erdhverq qrqhpgvbaf. [HIDE]: Arne (ohg abg ba) raq bs srapr ba fvqr snpvat njnl sebz pbnfg. Ybj qbja naq qvfthvfrq.

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)