As you are looking for the Eligibility Criteria for admission in MBA, so here I am providing following details about admission in MBA:

Eligibility Criteria
Applicants must have a Bachelor Degree from any recognized University with required % according to college / University.

List of few MBA entrance exams of India are given below .
ATMA AIMS Test for Management Admissions
CAT Common Admission Test
CMAT Common Management Admission Test
GCET Gujarat Common Entrance Test
HPCMAT Himachal Pradesh Combined Management Aptitude Test
IBSAT ICFAI Business Studies Aptitude Test
ICET Integrated Common Entrance Test
IIFT Indian Institute of Foreign Trade
IRMA Institute of Rural Management
JEMAT Joint Entrance Management Aptitude Test
KIITEE KIITEE Management Exam
KMAT Karnataka Management Aptitude Test
MAT Management Aptitude Test
MHCET Maharashtra Common Entrance Test
MICAT Mudra Institute of Communications Ahmedabad Admission Test
MP MET Management Entrance Test
NMAT Narsee Monjee Management Aptitude Test
PGCET Post Graduate Common Entrance Test
RMAT Rajasthan Technical Management Test
SNAP Symbiosis National Aptitude test
TANCET Tamil Nadu Common Entrance Test
TAPMI T A Pai Management Institute Admission Test
TISS Tata Institute of Social Sciences
VMAT Vignan's Management Aptitude Test
XAT Xavier Aptitude Test

List of few MBA Colleges of India
Xaviers Labour Relation Institue
Xavier's Institute of Social Service
Xavier Institute of Management & Entrepreneurship
Vinod Gupta School of Management
Vignana Jyothi Institute of Management
Vaikunth Mehta National Institute of Cooperative Management
University Business School
T.A. Pai Management Institute
Symbiosis Institute of Business Management
Symbiosis Centre for Management and HRD
Sri Sringeri Sharada Institute of Management
School of Management
School of Communication & Management Studies
Rajagiri School of Management, Kalamassery
R.A. Podar Institute of Management
Prestige Institute of Management and Research
NITIE
Nirma Institute of Management
National Institute of Management
Management Development Institute
M.S. Patel Institute of Management Studies
Kousali Institute of Management Studies
KLS Institute of Management Education and Research
ITUC School of Management
International Management Institute
Institute of Rural Management Anand
Institute of Productivity and Management
Institute of Management Technology
Institute of Management Studies, Devi Ahilya University
Institute of Management in Kerala
Institute of Management Development & Research
Indian Institute of Science and Management
Indian Institute of Modern Management
Indian Institute of Management Lucknow
Indian Institute of Management Calcutta
Indian Institute of Management Bangalore
Indian Institute of Management Ahmedabad
Indian Institute of Management
Indian Institute of Foreign Trade
IILM
Graduate School of Business and Administration
Goa Institute of Management
Fore School of Management
FMS BHU
Faculty of Management Studies
Department of Management, Babasaheb Ambedkar Marathwada University
Department of Management Studies, University of Roorkee
Department of Management Studies, University of Madras
Department of Management Studies, REC
Department of Business Administration
Christ College Institute of Management
Badruka College
AV College
Assam Institute of Management
Amity Business School
Abdul Qadir Jeelani Centre for PG Studies