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BBA MBA integrated course is generally a 5 year programme but in some universities it is 4 year programme as well. These are some institutes you can apply in for admission:

1. IIM (Indian Institute Of Management), Indore that offers a programme called Integrated Programme in Management. It is one of the best institutes for management studies. Eligibility criteria is that the student must have cleared 10+2 and then there will be an entrance test known as IPMAT.
2. SRM University, Chennai. It accepts applicants on the basis of their 12th results. It is a private university and is good in field of management.
3. Narsee Monjee Institute Of Management Studies, Mumbai also offers MBA integrated course. It also has an entrance exam NPAT for admission with consideration of 12th results.
4. Universal Business school, Karjat (Maharashtra) also takes students on the basis of entrance test names AIMA-UGAT and 12th results are also considered.