Q Find all the points on the globe from which if you travel 1km south, then 1 km east and then 1 km north; you end up at the same point from which you started.
Hints:
1. There is an infinite amount of such points.
2. The answer is 100% true, no tricks - so don't waste your time searching for any.
Ans : Half the answer is this:
There is some place on the globe, where the perimeter of the earth is exactly 1 km. If you start walking from any point which is 1 km north of that ring, and walk 1 km south, you'll end up on the 1 km perimeter. You'll then go 1 km east which will take you all the way around the globe and then you'll go 1 km north and end up in the starting point.
This is the answer which many people give, but it's not full. It gives us a stip (or a ring) of points with this property, but there is also an infinite amount of such strips (or rings):
The full answer, as given by UnToha, is that the perimeter of the walk around the globe doesn't have to be 1 km. It can be any factor of 1 km so that when walking 1 km east, you'll walk some K times around the globe (where K has to be an integer), thus making several complete trips around the globe. This gives us an infinite amount of rings, each having an infinite amount of points, all of which have this strange property.
reference : http://neworder.box.sk/forum/viewtopic.php?id=40242
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