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Globe Walk

How many points are there on the globe where, by walking one mile south, then one mile east and then one mile north, you would reach the place where you started?

SOLUTION : Infinite. How? An easy answer to this question would be the point North Pole. But that is not the only answer possible. If we consider the southern hemisphere, there is a ring near the South Pole that has a circumference of one mile. So what if we were standing at any point one mile north of this ring? If we walked one mile south, we would be on the ring. Then one mile east would bring us back to same point on the ring (since the circumference is one mile). One mile north from that point would bring us back to the point were we started from. If we count, there would be an infinite number of points north of this one mile ring.

Consider a ring that is half a mile in circumference near the South Pole. Walking a mile along this ring would cause us to circle twice, but still bring us to back to the point we started from. As a result, starting from a point that is one mile north of a half mile ring would also be valid.

So, there could be infinite such rings, and there will be infinite X infinite such points. The answer will be infinite points.

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