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Dear student,
BBA is good option after completing 10+2. There are so many options. You can pursue it from your nearby college or institutes. I am suggesting some colleges:
1.) Christ University, Bangalore. Visit: www.christuniversity.in
2.) Symbiosis Centre for Management Studies, Pune. Visit: www.scmspune.ac.in
3.) Anil Surendra Modi School of Commerce, Mumbai. Visit: www.commerce.nmims.edu
4.) Wisdom Faculty of Management Studies Banasthali University, Jaipur. Visit: www.banasthali.org
5.) Amity International Business School, Noida. Visit: www.amity.edu
6.) Institute of Management Studies, Noida. Visit: www.imsnoida.com
7.) Department of Business Administration, SRM University. Visit www.srmuniv.ac.in
8.) Mount Carmel College, Bangalore. Visit: www.mountcarmelcollegeblr.co.in
9.) Madras Christain College, Chennai. Visit: www.mcc.edu.in
10.) Ethiraj College for Women, Chennai. Visit: www.ethirajcollege.in
11.) Narsee Monjee Institute of Management Studies, Mumbai.
12.) Shaheed Sukhdev College of Business studies, New Delhi
13.) ICFAI Business School, Hyderabad.
14.) Acharya Institute of Management of management and Sciences, Bangalore.
15.) SRM Business School, Lucknow
16.) International School of Business, Kolkata.
17.) Foundation for Liberal and Management Education, Pune
18.) Manav Rachna International University, Faridabad.
19.) Lovely Professional University, Jalandhar
20.) Institute if Management Studies, Dehradun etc.
You can also take admission in the institutes affiliated to state universities, such as Ch. Charan Singh University, Meerut.
Thanks.

One has to take an entry level exam conducted by Union Public Service Commission (UPSC) to join NDA (National Defence Academy). This exam is conducted twice a year in all major cities throughout India. It is restricted to boys between the ages of 16 1/2 and 19.
The UPSC holds an all-India competitive examination, known as the Combined Defence Services Examination (CDSE), twice a year for University graduates or equivalent. Successful candidates can join Indian Military Academy for their pre- commission training after the interview conducted by the Service Selection Board and if finally selected, depending on their merit list ranking, are sent to Indian Military Academy.
Candidate should be in the age of 19-24. The course commences each year in the month of January and July. Interested candidates can apply in response to advertisement in March /April & October and November.

An Integrated MBA might be one course you are looking for. Integrated MBA is offered in many IITs. Some of the Institutes or Universities which provides a five years degree programmes in MBA include :
Indian Institute of Management, Ahmedabad
Indian Institute of Management, CalcuttaIndian Institute of Management, BangaloreIndian School of Business, HyderabadXavier's Labour Relations Institute, JamshedpurIndian Institute of Management, Lucknow
Faculty of Management Studies, University of Delhi, Delhi
Indian Institute of Management, Indore
Indian Institute of Management, Kozhikode
Indian Institute of Foreign Trade, Delhi & Kolkata
National Institute of Industrial Engineering, Mumbai
Department of Management Studies, IIT Delhi, Delhi
Symbiosis Institute of Management, Pune
University of Lucknow
BITS, Mesra etc.
Being a few to mention.
Integrated MCom is being offered by Guwhati University, Tezpur University, Uka Tarsadia University at Bardoli etc. Besides some universities offer Integrated B Com and MBA.