Business Management Studies

Yes, students appearing for final year of Bachelor's degree/equivalent qualification examination and graduates can apply for CAT.

You can give CAT exam because as per the eligibility criteria the last year students can also apply for CAT. You can start preparing for CAT from now itself and can give exams conducted in between November and December.

If you want to get a good college then it is mandatory, and if can afford to study in any college then there are some colleges which offer admission without an entrance exam.

Is it for masters in Business Administration?

If you want to get good career opportunities, engineering followed by MBA is a good option.

I am enlisting a few good colleges for doing BBA:
K. J Somaiya-Mumbai,
Lovely Professional University, Punjab,
Christ University-Bangalore,
MS Ramaiah University-Bangalore,
Madras Christian College-Chennai,
Mount Carmel College-Bangalore,
Shri Narsee Monjee College of Commerce and Economics-Mumbai, Wilson College-Mumbai,
Lala Lajpat Rai College of Communication & Economics-Mumbai,
Delhi University.