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As per my knowledge An MBA after BSc can give you a competitive edge over other graduates. It will also expand your career prospects by enabling you to explore better career opportunities and high-salaried packages across different sectors.
An MBA degree is prestigious as it is accepted worldwide. With more and more Universities including MBA courses in their curriculum, many students are opting for this valuable course. There are several types of MBA you can choose anyone depending on your criteria. Lots of careers are benefited by various types of MBA courses as it helps them gain additional knowledge and obtain a better pay package. An MBA degree imparts a strong theoretical foundation in business concepts, provides practical opportunities (via internships, group assignments and individual projects), builds hard-skills in the areas of management and leadership, polishes a range of soft-skills like communication, motivation and negotiation, opens up global opportunities for career growth, allows MBA students to start an independent business.
Top Business School:
International Management Institute, New Delhi
Motilal Nehru National Institute of Technology Allahabad
Geeta University, Panipat
Indian Institute of Management, Calcutta (IIMC)
Amity University
SRM

Yes, you can take admission in diploma on the bases of your 10th.
These are the list of courses:
Architectural Assistantship
Automobile Engineering
Chemical Engineering
Civil Engineering
Computer Engineering
Computer Science and Engineering
Electrical Engineering
Electronics and Communication Engineering
Electronics and Communication Engineering - Industry Integrated
Electrical and Electronics Engineering
Electronics (Microprocessor)
Electronics and Telecommunication Engineering
Fashion Design
Food Technology
Garment Technology
Information Technology
Instrumentation Technology
Interior Design and Decoration
Leather Technology
Leather Technology (Footwear)
Library and Information Sciences
Mechanical Engineering
Mechanical Engineering (Refrigeration and Air Conditioning)
Mechanical Engineering (Tool and Die)
Marine Engineering
Medical Laboratory Technology
Plastic Technology
Production and Industrial Engineering
Textile Design
Textile Processing
Textile Technology (Spinning)
Textile Technology (Weaving)
Textile Technology (Knitting)