Yea every graduate may applicable for MBA program. And you can also apply for MBA. MBA is a master degree program which is offered by almost all colleges in India.

Eligibility:
Candidates have 55% or above marks in graduation with a UGC and Specially AIU recognized university.

Age:
Maximum 28 years of age.

Almost all colleges are taking admission through their entrance exam. Some common entrance exams are CAT, MAT, CMAT, GMAT, etc.

Here are some MBA colleges in India:

Faculty of Management Studies (FMS) Delhi

Indian Institute of Management, Ahmedabad (IIM-A) Ahmedabad

Indian Institute of Management, Bangalore (IIM-B) Bengaluru

Indian Institute of Management, Calcutta (IIM-C) Kolkata

Indian Institute of Management, Indore (IIM-I) Indore

Indian Institute of Management, Kozhikode (IIM-K) Kozhikode

Indian Institute of Management, Lucknow (IIM-L) Lucknow

Rajiv Gandhi Indian Institute of Management (RGIIM) Shillong

Indian Institute of Management, Kashipur Kashipur

Indian Institute of Management, Ranchi Ranchi

Indian Institute of Management, Raipur Raipur

Indian Institute of Management, Rohtak Rohtak

Indian Institute of Management, Trichy Trichy

Indian Institute of Management, Udaipur Udaipur

Jamnalal Bajaj Institute of Management Studies (JBIMS) Mumbai

Management Development Institute (MDI) Gurgaon

Xavier Labour Relations Institute (XLRI) Jamshedpur

Xavier Labour Relations Institute (XLRI) Jamshedpur

Indian Institute of Foreign Trade (IIFT) New Delhi

Shailesh J. Mehta School of Management (SJSOM), Indian Institute of Technology, Bombay (IITB) Mumbai

Department of Management Studies, Indian Institute of Technology Delhi (IITD) New Delhi