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Brain Bender #7 Mystery Cache

This cache has been archived.

catoz: As there is now a fence around the location of the final it is pretty much permanently inaccessible. C'est la vie.

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Hidden : 11/5/2007
Difficulty:
3.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


Found below is a numbered list of statements which refer to a specific number (positive integer, base 10). Some of the statements are true and some of them are false. If a statement is true then it's index number (in parenthesis) appears among the number's digits, and if a statement is false then it's index number does not appear among the number's digits. The number in question cannot have a leading zero. There is only one solution.

(0) The sum of the number's digits is a prime.
(1) The product of the number's digits is odd.
(2) Each of the number's digits is less than the next digit (if there is one).
(3) No two of the number's digits are equal.
(4) None of the number's digits is greater than 4.
(5) The number has less than 6 digits.
(6) The product of the number's digits is not divisible by 6.
(7) The number is even.
(8) No two of the number's digits differ by 1.
(9) At least one of the number's digits is equal to the sum of 2 other digits. (Any of the digits may be equal, as long as all 3 digits are distinct.).

Once you have the number, let's call it X, follow these directions to determine the actual cache coordinates.

North: Divide X by 6 and discard any decimal remainder. Add 31, then divide by 1000 (keeping the decimal remainder). Subtract this new number from the posted Northerly minutes.

West: Divide X by 8 and discard any decimal remainder. Add 20, then divide by 1000 (keeping the decimal remainder). Subtract this number from the posted Westerly minutes.

Additional Hints (No hints available.)