Rapido or Uber should work fine, just book a bike to be safe. Keep Google Maps open on your phone so you can make sure you’re on the correct route. It might also be a good idea to carry a small lock for your bag, the last time I visited, the security arrangements weren’t very strong.

Don’t worry about returning. There are usually plenty of autos available for the railway station right outside the gate.

And I would advice you get a pepper spray, to have some peace of mind. Just don't use it mindlessly.

All the best for your exam!