There are several Business Schools in India that accept GMAT and CAT Score for admission in MBA and equivalent Programs.

I am providing list of Business Schools accepting GMAT Score in India:

GMAT Accepting Business Schools in India
IIBM School of Business, Allahabad
BIMS, Bangalore
School of Telecom Management, Maharashtra Institute of Technology, Pune
SOIL, Gurgaon
Sunstone Business School, Noida
TERI School of advanced Sciences, TERI University, Delhi, Pune
Centre for Management, Mumbai
IISWBM, Kolkata
IIM, Udaipur
ApeejayStya University, School of Management Sciences, Noida
Indian School of Business, Indore
IFMR, Chennai
VIT Business School, Vellore
K.J.Somaiya Institute of Management Studies & Research, Mumbai
ISBF, Delhi
FLAME, Pune
IMI, New Delhi, Bhubaneswar & Kolkata
Acharya School of Management, Bangalore
IFIM Business School, Bangalore
Asia Graduate School of Business, Hyderabad
Spicer Memorial College, Secundrabad
Indian Institute of Social Welfare & Business Mgmt., Kolkata
Mysore Royal Academy, MYRA School of Business, Mysore
Amity Business School, Noida
NIFT, Delhi
Vanguard Business School, Bangalore
Woxsen School of Business, Hyderabad
JRE School of Management, Greater Noida
MICA, Ahmedabad
IIM, Rohtak
Jindal Global Business School, O.P Jindal University, Sonipat
School of Business, Alliance University, Bangalore
IIM, Ranchi
Apex Institute of Management, Pune
IIT-DMS, Delhi, Kanpur, Bombay, Madras, Roorkee & Kharagpur
School of Management, Udaipur
School of Business Studies, Sharda University, Noida
SDM Institute for Management Development, Mysore
IIM, Bangalore
Siva Sivani Institute of Management, Hyderabad
School of Management, NMIMS, Mumbai
ISB, Hyderabad & Mohali
Faculty of Management, Mody Institute of Technology and Science, Jamnagar
G L Bajaj Institute of Management and Research, Greater Nodia
IIM, Kozhikode
Pune Institute of Business Management, Pune
School of Economics, Pune
IIM, Lucknow
College of Commerce, Shivaji University, Pune
Asian School of Business Management (ASBM), Bhubaneswar
XLRI, Jamshedpur
School of Management, International Institute of Management, Bhubaneswar
Goa Institute of Management, Goa
Adani Institute of Infrastructure Management, Ahmedabad
Europe Asia School of Business, Pune
ITM, Mumbai
B I I M, Bangalore
FMS, Delhi
Kirloskar Institute of Advanced Management Studies
IIM, Indore
TAPMI, Manipal
ISBR Business School, Bangalore
Entrepreneurship Development Institute of India, Gujarat
TASMAC, Pune
International School of Telecom Technology and Management, Hyderabad
IIM, Tiruchirappalli
Harihar& Pune
IIM, Raipur
National Management School, Chennai
Galgotias Business School, Uttar Pradesh, Greater Nodia
Sadhana Centre for Management & Leadership Development, Pune
School of Management – SRM University, Chennai
GITAM School of International Business, Visakhapatnam
Birla Institute of Management Technology, Noida
IIFT, Delhi & Kolkata
TISS, Mumbai
National Institute of Securities Markets, Mumbai
MDI, Gurgaon
IILM Institute of Higher Education, New Delhi
Prin. L.N. Welingkar Institute of Management Development and Research, Mumbai
NIIT, Neemrana (ICICI Business Leadership Program)
ICFAI Business School, Hyderabad & Mumbai
IIM, Calcutta
IMT, Ghaziabad, Hyderabad, Nagpur & Dubai
Amrita School of Business, Amrita ViswaVidyapeetham, Amritapuri
School of Management and Entrepreneurship – Shiv Nadar, Mumbai University, Greater Noida
Doon Business School, Dehradun
NIT, Surathkal
Apeejay School of Management, New Delhi
IIM, Ahmedabad
Aegis School of Business and Telecommunication, Navi Mumbai
International School of Management Excellence, Bangalore
National Schools of Business and Management Private Limited, Chennai
AIMS School of Business, BangaloreAdministrative Staff College of India, Hyderabad
IILM Graduate School of Management, Greater Noida
PSG Institute of Management, Coimbatore
S.P Jain Institute of Management and Research, Mumbai
XIM, Bhubaneswar
Dept. of Management, BITS Pilani, Rajasthan
Seshadripuram Institute of Management Studies, Bangalore
College of Commerce and Management, Pune
Bangalore, Mumbai & Guwahati
Amity Institute of Telecom Technology and Management, New Delhi
IBA, Bangalore
IIM, Shillong
Lotus Business School, Pune
Delhi School of Business, Delhi
Great Lakes Institute of Management, Chennai
Praxis Business School, Kolkata
Institute of Management, JK Lakshmipat University Jaipur
Seshadripuram Institute of Management Studies, Bangalore

Here I am providing list of Top Business Schools in India that accept CAT Score for admission in MBA and Equivalent Programs:

List of Top Business Schools accepting CAT Score in India
Indian Institute of Management, Ahmedabad
Indian Institute of Management, Bangalore
Indian Institute of Management, Calcutta
Indian Institute of Management, Kozhikode
Department of Management Studies, Indian Institute of Technology, Delhi
Indian Institute of Management, Lucknow
Shailesh J Mehta School of Management, Indian Institute of Technology, Bombay
Indian Institute of Management, Indore
Management Development Institute, Gurgaon
National Institute of Industrial Engineering, Mumbai
Indian Institute of Management, Bodh Gaya
Indian Institute of Technology, Roorkee
Department of Management Studies, Indian Institute of Science, Bangalore
TA Pai Management Institute, Manipal
Myra School of Business, Mysore
PES University, Bangalore
Nirma University, Ahmedabad
Department of Management Studies, National Institute of Technology, Tiruchirapalli
Indian Institute of Management, Raipur
Department of Management Sciences, University of Pune, Pune
Alliance School of Business, Bangalore
Indian Institute of Management, Nagpur
Siva Sivani Institute of Management, Secunderabad
ITM Business School, Navi Mumbai
Institute of Finance and International Management, Bangalore
Indian Institute of Forest Management, Bhopal
Jamnalal Bajaj Institute of Management Studies, Mumbai
Institute of Rural Management, Anand
Indian Institute of Management, Sirmaur
Balaji Institute of Modern Management, Pune
Jaipuria Institute of Management, Noida
Goa Institute of Management, Goa
Indian Institute of Management, Visakhapatnam
Institute of Management Technology, Hyderabad
Indian Institute of Technology, Indian School of Mines, Dhanbad
Faculty of Management Studies, University of Delhi, Delhi
Birla Institute of Technology, Mesra
Department of Management Studies, Indian Institute of Technology, Madras
Thiagarajar School of Management, Thirupparankundram
Indian Institute of Management, Tiruchirappalli
Indian Institute of Management, Ranchi
Motilal Nehru National Institute of Technology, Allahabad
AIMS Institutes, Bangalore
Kirloskar Institute of Advanced Management Studies, Harihar
Lal Bahadur Shastri Institute of Management, Delhi
SRM University, Chennai
SCMS Cochin School of Business, Cochin
Xavier Institute of Management, Bhubaneswar
National Institute of Technology, Warangal
Great Lakes Institute of Management, Chennai
National Institute of Technology, Rourkela
Rajiv Gandhi Indian Institute of Management, Shillong
University Business School, Panjab University, Chandigarh
Department of Business Economics, University of Delhi, Delhi
Pondicherry University, Puducherry
National Institute of Technology, Durgapur
Balaji Institute of Management and Human Resource Development, Tathawade
ABV- Indian Institute of Information Technology and Management, Gwalior
Vinod Gupta School of Management, Indian Institute of Technology, Kharagpur
Xavier Institute of Management and Entrepreneurship, Bangalore
Jaipuria Institute of Management, Lucknow
SP Jain Institute of Management and Research, Mumbai
Shri Dharmasthala Manjunatheshwara Institute for Management Development, Mysore
Prin. LN Welingkar Institute of Management Development and Research, Mumbai
Delhi School of Management, Delhi Technological University, Delhi
Indian Institute of Management, Udaipur
National Institute of Agricultural Extension Management, Hyderabad
Indian Institute of Management, Kashipur
VIT Business School, Vellore
Indian Institute of Management, Sambalpur
Indian Institute of Management, Rohtak
Institute of Public Enterprise, Hyderabad
MS Ramaiah Institute of Management, Bangalore
Indian Institute of Technology, Kanpur
IBS Business School, Hyderabad