B.Tech Electrical Engineering

No, never because u should have a domicile Certificate of uttarpradesh.

In order to meet your requirements you can write GATE and enter into psu or enter into software sector which doesn't involve any field work.

There is a separate test you have to go through for that. You will be selected on the basis of your rank. You will be directly admitted to 2nd year if you get good rank:
For more info-http://thapar.edu/images/admission2016/Admission in second year of UG programme LEET. Pdf.

Please check for your eligibility to pursue a B.Tech. in Electrical Engineering from Sardar Vallabhbhai National Institute of Technology from the link provided below. Admission process for this particular course is also mentioned at this link:
https://www.shiksha.com/b-tech/course/b-tech-in-electrical-engineering-sardar-vallabhbhai-national-institute-of-technology-surat-61965

You have to show some work experience or do one thing, make an affidavit that you are preparing for any ex am that's show you are not doing job's between this gap. Feel free to contact.

Yes, they are. A Post-Graduate Diploma in Statistical Methods and Analytics from ISI. Selection Procedure: Students with B Stat (Hons) degree from ISI are offered direct admission to this programme without any selection test or interview.

Just go through this link and fill out the required details:
https://www.shiksha.com/college-predictor