BCA

To pursue an MBA one has to write an Entrance Exam like CAT GMAT XAT MAT CMAT ATMA NMAT are mandatory since you mentioned that you have not cleared the Exam it is possible to get admission in MBA without Entrance examination. You can get Direct MBA admission in Top B schools particularly Private Universities through management Quota. Here are some Top MBA Colleges:
1. ISBR Business school Bangalore
2. Alliance school of Business Bangalore
3. IMS MBA Ghaziabad
4. Alliance university MBA
5. Christ University MBA
6. Symbiosis MBA School
7. IFIM-Business School
8. ISBR Business school
9. ISBM Pune
10. ITM Navi Mumbai
11. ISME Bangalore

Visit - http://dypatildistancemba.com/OnlineMBA/

The minimum qualification required for entry into B.Ed. course is Bachelor of Arts (B.A), Bachelor of Science (B.Sc. ) or Bachelor of Commerce (B.Com. ) from a recognised board/university with at least 50% marks

Hi! Hope your doing well by the way, MBA is a good decision you can join in Management Quota without writing any Exam in MBA colleges particularly Private Universities.
Here are Some Top MBA College
1.Acharya B School
2.Symbiosis Institute of Business School
3.Alliance University
Let me guide you through Indian Education Services (IES) Top Education Consultancy in India where the students are given complete guidance from career counseling to admission guidance without any stress or tension connect with them
Give them a try, I am sure you won't regret Good Luck!

Hey
https://www.shiksha.com/it-software/course/bachelor-of-computer-application-bca-adbu-assam-don-bosco-university-guwahati-408993
Here are the complete details of the course, you can follow the link to know each and every detail of the couse and the colleges offeing this course.