Hello Aspirant, 

It seems like you are curious regarding whether you should go for BCA after completing your BBA. The eligibility criteria for BCA (Bachelor of Computer Application) is to be a 10+2 pass with minimum 50% marks. You can pursue any course of your choice after BBA, even BCA too but you must be aware of the fact that BBA (Bachelor of Business Administration) and BCA are two completely different areas of study. One is a technical line and the other is a business line. If you are aware of the same, go ahead! Good luck!

Yes, you can, Not only MBA but several other master courses can be followed after BCA.

One can also do MCA after BBA to have inputs from both management and computers to broaden his skills. BCA stands for Bachelor of Computer Applications. ... It is only natural for a student completing his BCA to go on and pursue MCA later which is a graduate level degree course.