Bangalore University

For BBA admission, you need to have passed 10+2 from a recognized university. I am not really sure if the university will consider you for admission in BBA based on you Diploma.

Yes, it is available. You just have to check, if admissions are going on.

Go through the links below for details:
https://www.shiksha.com/it-software/course/mca-lateral-entry-pondicherry-engineering-college-275336
https://www.shiksha.com/it-software/course/mca-lateral-entry-institute-of-management-studies-ghaziabad-268913
https://www.shiksha.com/it-software/course/mca-later

Hello Krithika,
You can get admission into Bangalore university affiliated colleges for MCA.

For admission in MA (Sociology), you need to have completed graduation with a minimum of 50%.

Hi, Official website is silent about the package offered for M.Sc. In statistics. It would be recommendable to get in touch with the college officials for the detailed information or you can get in touch with the current students or the Alumni of this college. Regards.

Hello Ajith,
Here are the name of some colleges in Karnataka under 5 Lacs:
KJC
Christ
Mount Carmel
GIBS
Xavier
Good Luck.

Basic criteria is:
Any graduate who has passed or appearing for the final year degree examination in any discipline (Science, Commerce, Arts, Engineering or any approved University) is eligible to apply. Candidates must have mathematics as a subject in their 10+2 course or any one year graduation.