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In my point of view, Sharda University is the best and it provides higher quality education. Starting fees of BBA are 150000 to 218000 last any specialization.
You simply fill out the form and appear for the admission test if you clear this test then you are eligible for admission.

There are several engineering colleges in Uttar Pradesh that offer admissions. Some of the top engineering colleges in Uttar Pradesh are:
1. Indian Institute of Technology, Kanpur
2. Motilal Nehru National Institute of Technology, Allahabad
3. Harcourt Butler Technical University, Kanpur
4. Institute of Engineering and Technology, Lucknow
5. Ajay Kumar Garg Engineering College, Ghaziabad
6. Jaypee Institute of Information Technology, Noida
7. GLA University, Mathura
8. Amity University, Noida
You can appear for national-level entrance exams such as JEE Main or UPSEE to be eligible for admission to these colleges.

Here are the few colleges
FMS, Delhi
DSE, Delhi
USMS.

Yes, there are chances that you will easily get it. But, you can also try for IT and CSE in JGEC. As it is a government college. Many people won't tell you, but all these private colleges are overhyped. Some 10% of people get placement rest gets placed with mass recruiters. Truth is bitter. But yes. This is an honest piece of advice I can give you.

Definitely you can do B.Ed after commerce graduate
Find nearby University or college for your further studies.

IMRDA
VPIMSR
CIMDR
RIT
Balwant College
Shivaji University
Dr. Ghali college.

Yes, it is possible to study in the UK with backlogs. Many universities in UK offer admission to students who have backlogs. While applying for any course in UK, you might think about your backlogs, and how the backlogs will affect the admission chances in UK universities.