A bear walks a great distance South. Then he takes a left, & walks a great distance. He again takes a left & walks a great distance. Amazingly, he finds itself where it started initially. Find the color of the bear!
Details & Assumptions : a great distance means the range between 1 0 0 0 - 3 0 0 0 k m .
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Yes! I had the same solution in mind! Give me a high five! :)
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Ameya, the bear is 'black', its fur is white................just a fact!
No, simply being on a sphere is enough. Imagine the bear walking 1 meter (a "great" distance) south, then about 40000 km west, circling the equator, and then 1 meter north; the bear is back where it started. So it's indeterminate. We don't care if the bear dies because it needs to cross an ocean; the problem is still wrong.
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@Ivan Koswara , that is why I put 'great' as an adjective over distance. I knew of this limitation.
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That means your problem is vague; you should have written some more objective thing like "great distance means 5000 km" or something.
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@Ivan Koswara – Hmmm … . OK.
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@Ameya Salankar – Did you know about a similar riddle? Did you know there are multiple solutions? Take a point approximately 2 0 0 0 + π 1 0 0 0 km away from South Pole. Walk 2 0 0 0 km south, now you're π 1 0 0 0 km away from South Pole. Walk 2 0 0 0 km west, circling the South Pole once, now you're back at the same place before you circle. Walk 2 0 0 0 km north, now you're back at the starting point. And I'm pretty sure bears 2 0 0 0 km away from South Pole aren't necessarily polar bears...
Yeah, i know a very similar riddle.
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Hahahaha...Ameya...nice question!!! First of all, we can say that after three turns, the bear reached its first position...this statement is untrue for a plane ground...but on curved areas such as the poles of the earth, the condition can be true...and hence the bear is a polar bear...thus it is white in colour...