There is no any common entrance exam for BBA programme. There are many colleges which offer this programme, Generally the colleges takes the admission through its own entrance test. Top BBA Colleges in India are mainly affiliated by the following universities:

University of Delhi

Guru Gobind Singh Indraprastha University, Delhi

University of Mumbai

Symbiosis International University, Pune

NMIMS University, Mumbai

Bharati Vidyapeeth Deemed University, Pune

Christ University, Bangalore

If you are interested for any particular college then let me know I can help you with the procedure.