Science

Study well and appear for your exam.

There are various universities which provide distance learning or you may just visit Sikkim Manipal University.

Yes, you can. If you can clear GATE, then you will be called for a separate written test in the institute you have applied to. If you clear that written, you will be called for a personal interview.
There are many good courses in IISC and IITs. Please check the webpage of the Mathematics department in their respective websites.

MAEER's MIT Institute of Design offers UG and PG courses in Pune.

Long duration required to gain or enhance you art or creative skills. You can opt for B.Sc or even you can go for B.Des.

You can search for Research Associate Job in universities or you can also start teaching in professional coaching centers for PMT.

Hi Michael,
Getting a job depends on how skilled and passionate you are in your field. Even though more than 80% chemistry graduates find jobs within 6 months after their graduation, you must perform well in your class. Maximum placements are done by the alumni networks. Some popular recruiters include Ministry of Education Singapore, Singapore Radio pharmaceuticals Pvt. Ltd, Nippon Paint, Johnson & Johnson and so on.
I hope this information helps.

A lot of job opportunities are available in private sector for graduates in B.Sc Electronics. Jobs are available in both hardware and software fields. For example:
1) Software testing
2) Electronic design engineer
3) Technical executive
4) Chemical administrator
5) Technical support associate
6) Software developer

Hi Vishal,
I am replying just to help you out. Maths is not that easy unless you understand the formulas for solving. Try to understand the formulas and just practice the chapters/topics in which you are expert, rather than getting confused around all the chapters. This might help you out for selection in VITEEE.

Yes there is a post graduate 2 year (MA in econometrics) course available in University of Madras and IISc Bengaluru. It is basically an economic course which is concerned with the use of mathematical methods to describe the economic systems. Eligibility to pursue this course is any degree in economics/maths/ physics/engineering with minimum 50% marks.