Science

Yes, as you are eligible to apply for the exam, being last year student. However, make sure you qualify the minimum Marks Criteria. Then Start preparing for exam and give it.

Dear Manish,
That's very fascinating problem that you have passed commerce and hates all the core subject viz, accounts, economics, and business. Since you are interested in Maths only. There is no subjects in the continuation of Commerce, which does not includes all these. So, you have to compromise and along with Maths, you have to study at least one other these. The best options could be Maths & Finance Hope, this helps. Ask any query any time.

Dear Shubham,
It is not possible to choose BCA after class 12th commerce without Maths. Because, in BCA having Maths in class 12th as a compulsory subject is a must.

Surely, you can do M.Tech after B.Tech. Prepare for GMAT and score extremely good marks.

I think Bangalore Medical College is the best government college in south India.

If you did M.Sc from recognized university, then you are eligible for NET test. It doesn't matter, you did M.Sc from private or regular. You are eligible for NET test.

You can check the entrance test dates in prospectus of JMI.