As you want to take admission in MBA program without any entrance exam , so according to me its not possible but may be possible some private college grant for it :

Here I have collect few colleges name perhaps they grant admission without entrance exam you can check it :

Lovely Professional university,

Nirma institrue of management,

Nalanda open university,

Mumbai school of business,

JRE group of insttutions,

Arihant college,

st.Ann's college for women,

Administrative college.

But we will suggest you to do MBA after appear in entrance exam for your bright future

Here is list of colleges with entrance exam info
College Name Entrance Exam
Goa Institute of Management XAT, CMAT
Great Lakes Institute of Management CAT, XAT, MAT, CMAT & GMAT
IBS IBSAT
IMT CAT, XAT, CMAT
Indus Business Academy CAT, XAT, MAT, ATMA, CMAT
Institute of Management, NIRMA University CAT
Apeejay School of Management CAT, MAT, CMAT
IILM CAT, XAT, MAT, ATMA
MIT School of Business, Pune CAT, XAT, MAT, ATMA, MAH CET
New Delhi Institute of Management (NDIM) CAT, MAT, XAT, GMAT
XISS XAT, CMAT
Jaipuria Institute of Management CAT, XAT, MAT, CMAT
M S Ramaiah Institute of Management CAT, XAT, MAT, CMAT
Alliance University School of Business, Bangalore CAT, XAT, MAT, GMAT
Fortune Institute of International Business (FIIB) CAT, MAT, XAT, ATMA, CMAT
SIBM SNAP
Christ University, Institute of Management CAT, MAT
K J Somaiya CAT, MAH CET, CMAT
Amity University, Noida CAT, MAT, GMAT or Amity Written Test
Jagan Institute of Management Studies, New Delhi CAT, MAT