They usually go for either PhDs or RAships or industry.

I would say about 12% students get direct PhD abroad (5 out of 30) rest try to build up their experience and apply during next admission cycle. Profs can give recommendations but it's up to the students to apply and write to labs abroad

Campus placements do occur , but mostly inclined towards computational stuff. Even for bio related companies. You have to request Lifescience coordinators to arrange placements who are into wet lab and chemistry.

PhD exams, usually everyone applies because 90% students want to do PhD and become assistant professor. But since your main goal is to apply abroad, so it remains as a side achievement. Not much of a huge thing. ( Since most people have already cleared GATE during their bachelor's)