Is it possible to have two freeway on-ramps,(one going north and one going south), and have them both go to the same city?
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Sure. One on-ramp is somewhere north of the city and one is somewhere to the south. There's nothing in the question indicating that the on-ramps have to be in the same place.
Sure. There can be two cities, one at the Eastern edge and one at the Western edge of a loop formed by a freeway that runs in a circle. From the city on the West, the North ramp runs counter-clockwise and the South ramp leads clockwise to the city on the East.
There are several such loops near Houston. For example, from Jersey Village, 8N and 8S both go to Houston. 610 is similar.
The city can be
There is Sirsi in Karnataka , Southern part of India .
There is Sirsi in Uttar Pradesh , Northern part of India.
So , if we move north and south we go to same city .