B.Tech Scope

You have a good future don't worry. Just go for the competitive examinations and study well.
All the best.

No doubt, B-School will give raise very high after B.Tech for sure, but don't do it just because others are also doing, choose only when you want to pursue in management not in technical.

Photonics is a high-tech subject which has evolved during the past two decades as a result of the fusion of optical technology with electronics. The subject has been hailed as the science and technology for the next millennium. Photonics has made its impact in various areas like communications, computing and control as well as in fields such as medicine, industry, defence and entertainment. Cochin University of Science and Technology is one of the first few Universities /institutions in the country where due importance has been given to research, development and teaching activities in photonics and related areas.

Being a 2nd year student you do have a lot of time to prepare as next year would largely be focused on your training and the final year on placement. Start preparing bit by bit on your own. Build a strong vocab in next few months followed by writing skills and than appear for a mock or two every month. This would ensure your continuous evaluation and would help to improve until the final day. Give your GMAT in the final year staring as this would help you with enough time to apply for the scholarships and other financial aid.

So far my knowledge goes, you can pursue M.Sc Math in some Institute after doing B.Tech Mechanical. For example, Chennai Mathematical Institute allows B.Tech /BE for doing M.Sc Math. They also allow B.Sc Math/B.Math/B.Stat. For M.Sc Maths, you can visit their site for confirmation. Best wishes.

Yes, I think you should opt for PG for better opportunities and job after B.Tech IT. You can get opportunity in:
Accenture
TCS
Infosys
Cognizant
BHEL
SAIL
Tata Motors
DRDO
Bajaj
ONGC
GAIL.

You can go to private universities or colleges that will help you to get admission without any entrance exam or eligibility criteria.

Yes, there are many options. Till the time you can join a BPO based company and do job there while clearing your backlog.

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