As you are looking for list of Competition / Entrance Exams for MBA Programs, so I want to inform you that there are several Universities and Colleges in India that offers MBA Program with several specializations.

There are many Entrance Exams in India for admission in MBA.

List of MBA Entrance Exams in India:
Common Admission Test (CAT)
Common Management Admission Test (CMAT)
NMAT by GMAC
MICAT
Maharashtra Common Entrance Test (MAH-CET)
Institute of Rural Management Anand (IRMA) Admission test
Odisha Joint Entrance Examination (OJEE) MBA
Andhra Pradesh - Integrated Common Entrance Test (APICET)
Tamil Nadu Common Entrance Test (TANCET)
Tata Institute of Social Sciences National Entrance Test (TISSNET)
HP University Management Aptitude Test (HPU-MAT)
Telangana State Integrated Common Entrance Test (TSICET)
Karnataka Management Aptitude Test (KMAT)
KIITEE Management Test (KIITEE MBA)
ICFAI Business School Aptitude Test (IBSAT)
Indian Institute of Foreign Trade (IIFT) Exam
Management Aptitude Test (MAT)
AIMS Test for Management Admissions (ATMA)
Xavier Aptitude Test (XAT)
Symbiosis National Aptitude (SNAP)

I am providing list of Popular Specializations for MBA Program offering in India. You should choose one of these specializations:

Top MBA Specializations:

Finance
HR
Marketing
General Management
Operation
System
Information Technology
Supply Chain Management
International Business