Hello Poornima,

Banasthali University is a private university. Whereas universities accepting NEST exams are government based reaearch universities. If you want to get into National Institute of Science Education and Research(NISER) go for NEST. If you want to get into Banasthali University go for its test. Personally, I would go for NEST exam.

Feel free to ask if you have any more queries. All the best!!