Is MBA after B.Sc a good career?

You need to understand what exactly you are looking for. If in research or Teaching, you must go for M.Sc. And Ph.D. later. But if not, then MBA is best but you have to make sure you take the admission in well renown and reputed universities which offers MBA in India with good placements and industr

You first need to decide on your interest areas and long term career options. In case you are keen on pursuing a career in academics / research / technical areas, then pursuing a M.Sc. Would be a better option. In case you want to move into general management areas, then MBA should be the choice.

In which stream did you complete your B.Sc? Also, where do you want to see yourself in near future?

Yes, if you are interested in MBA, then it is okay.