B.Tech Scope

If you feel you can contribute further to the growing world of technology after the completion of an M.Tech, M.Tech may be preferred. If you are confident of your skills as a manager, wish to jump to some middle or higher management level and the aim to climb the corporate ladder then MBA is not a bad choice.

As the fire and safety engineering course is a four year course, if a candidate do it after a UG course or PG course then this line is having the best scope for future.
Kindly go through the below mentioned link. This will 100% help you:http://www.upes.ac.in/btech-fire-safety-engineering

Yes, it is a better choice.

Yes, you can pursue M.Sc in maths after completing B.Tech.

If you have already done B.Tech, you must go for PGDM, which is a regular AICTE approved program. It will fetch you better placement. The starting salary will not be less than Rs.6.5 to Rs.7 LPA.

Yes, you should opt for your Master's degree right after completing your UG.

Dear Vishal,
You should apply for job now than after some time you may apply MBA course as distance education. Its may be give more & more job opportunity in your career. Also, you may apply for online course like as E-Commerce & Digital Marketing etc.
Best of luck.

Yes, you can do it, but according to your Bachelor's degree M.Sc in maths is not a good option. If you want to pursue your Masters, then you can opt for M.Tech in your field which will provide your better career. All the states conduct entrance exam for M.Sc, you can visit their websites according to your favorable state.

Hi,
Yes, you can. But, GATE exam is compulsory for doing M.Tech.
Best of luck.

You can apply for HR post but generally companies prefer MBA HR specialization. So, you should have valid reason why you have not chosen MBA instead of B.Tech and you should be convincing at the time of interview.