MBA & EMBA both are two different things.
There are many differences like:

EMBA is totally designed for working professional and those who have at-least 3 years of work experience.
The course curriculum and timing are different compare to regular MBA
Classes of EMBA are mostly conducted on week ends
Very few institutes are offering full time EMBA
EMBA program are basically designed to meet the needs of upper level managers.

MBA:
Any graduate who are interested into managerial qualification can go for MBA study.
The applicant can go for it by clear CAT/MAT/XAT or any other equivalent test.
Many colleges conducting their own test, Followed by GD/PI.

Executive MBA Advantages

EMBA programs have several advantages for executives who need career-broadening management training:

They feature a well-constructed curriculum of several courses in each of the major business disciplines.
They usually do not require permanent relocation, making them good for those who can travel virtually anywhere on a regular basis.
EMBAs earn their degree in two years or less, faster than their part-time counterparts.

Colleges to pursue MBA or EMBA course in India:

Indian School of Business
Indian Institute of Management (IIM) Ahmedabad
Indian Institute of Management (IIM) Calcutta
Indian Institute of Management (IIM), Bangalore
Indian Institute of Management (IIM), Lucknow
Xavier Labour Relations Institute (XLRI)
Faculty of Management Studies (FMS)
Indian Institute of Management (IIM) Kozhikode
Indian Institute of Management (IIM) - Indore
S. P. Jain Institute of Management and Research
Indian Institute of Foreign Trade (IIFT)
Management Development Institute (MDI)
Symbiosis Institute of Business Management (SIBM), Pune
SVKMs NMIMS (Narsee Monjee Institute of Management Studies)
Institute of Management Technology - IMT
Xavier Institute of Management Bhubaneswar
Vinod Gupta School of Management (IIT Kharagpur)
Rajiv Gandhi Indian Institute of Management (IIM) Shillong
K. J. Somaiya Institute of Management Studies and Research
T. A. Pai Management Institute, Manipal (TAPMI)
International Management Institute (IMI), Delhi
Great Lakes Institute of Management
Indian Institute of Management (IIM) Ranchi
Institute of Management, Nirma University
Indian Institute of Management (IIM) Raipur
Indian Institute of Management (IIM) Tiruchirappalli
Indian Institute of Management (IIM) Udaipur
Goa Institute of Management (GIM)
Symbiosis Institute of Management Studies (SIMS)