In which college can I get admission to pursue MBA without appearing for any entrance exam?

I won't say that it isn't possible but as per your need, you have to score well in MAT/ CMAT/CAT exam. Then, you can get some average institutes like: Asia-Pacific institute of management, New Delhi ISMS, Pune MAARC B School, Bangalore Durga Devi Saraf, Mumbai. Shanti B-School, Ahmedabad ( 50-

You need to clear MAT or CAT exam for doing MBA.There are colleges which give admission at the lower rank, but still, you need to take the exam.