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One fine morning, a hunter departed from his camp, and walked due south with his trusty rifle on his shoulder. After a mile, he stumbled and skinned his knee, but being a tough hunter, he just cursed loudly for a bit and walked onward. After another mile or so, he spotted a bear and took aim but only then realized that he hadnt taken the safety off! The bear caught his scent and fled to the east, with the hunter in pursuit. After a mile, he caught up with it and fired a shot, but the bear was only wounded, and managed to drag itself another mile eastwards before the hunter managed to get in the killing shot. Delighted with his catch, he dragged the carcass two miles due north to his camp, only to discover that in his absence, another bear had trashed it!
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wasnt his camp as, he went south then followed the bear east. Then killed the bear and went north, so hes not at his camp 
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There's one place in the world where it could be his camp... 
White.
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QFT. He's 2 miles to the east of the campsite he set off from.
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Im amazed people are falling for the riddle's trap, but it's like anything else; it's easy if you know it. Another, easier, version of the riddle goes like this;
A man has a cabin. The cabin has four walls, on each wall there's a window. Each window faces south. The man looks out one of the windows and sees a bear. What colour is it?
Another, contempory version goes like this;
A man has a cabin. The cabin has four walls, on each wall there's a window. Each window faces south. The man looks out one of the windows and sees that thanks to global warming the pack ice his cabin is built on has melted and his cabin is now sinking into the artic ocean. Water soon floods the cabin and the man dies of exposure a few minutes later. A bear spots the body of the man, but being a predator and not a scavenger it leaves it for the fishes. What colour is the bear?
Admittedly the up to date version isn't as fun.
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(O.O) Bunny: Our time is coming
(> <)
I dunno, I kinda' like it...
D'oh, but as said, quite truly
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but it's like anything else; it's easy if you know it.
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Out of curiosity, any reason why it couldn't be the other answer stated? Is it more likely that the camp was situated exactly at the North Pole, or that there's another camp two miles east of his?
I claim protection under Occam's Razor!
DON'T eat muffins while I'm developing you.
Pants! Turkey Magnates! A man in a box! Rogue AI! Come one, come all, to arc ID 10107 - It's [i]'Not as long as some other arcs'[/i]!
Stop calling me Distro. 
Would you prefer Bistro?
Anyway, I'd edit it with your full name, but the maximum time has expired, so meh...
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Out of curiosity, any reason why it couldn't be the other answer stated? Is it more likely that the camp was situated exactly at the North Pole, or that there's another camp two miles east of his?
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Yes, because he other answers don't actually answer the question; namely, what colour was the bear that trashed the camp?
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(O.O) Bunny: Our time is coming
(> <)
The Bear is White.