I haven't given any entrance test for MBA. Can I get admission in the same somewhere?

Hello! If you wish to pursue a full-time MBA from a reputed college, then it is compulsory to appear for the necessary MBA entrance exams, clear their cutoff(s), and perform well in the interview rounds of the college(s) you're aiming for (if shortlisted for them).

Yes, you can get admission through distance learning university for MBA programme. In distance Learning, university takes students without entrance except for IGNOU. Only IGNOU has entrance mode for MBA programme, and they also ask for 3 years of entrance exam. You can go with Amity Distance Univers