Engineering

Please refer the link to know the cut-off: https://www.shiksha.com/b-tech/kcet-exam-cutoff

Yes, you need to submit the application form by the last date and appear in the specified entrance exam, even for the lateral entry (direct 2nd year) in B.Sc in Computer Science.

The minimum qualification required for admission into a diploma course is passing of the Secondary School Leaving Certificate (SSLC)/10th standard/equivalent examination, with Science and Maths subjects.
Fee Structure: Rs. 6000

Both, class 10th and class 12th marks are to be mentioned, as the typical criteria is minimum 50 percentage in all colleges.

Hi Rail,
Please confirm the course in which you wish to apply for better understanding. Please refer to the link below:
https://gcoea.ac.in/rules-procedures/.

Click on the link below for detailed eligibility for GCET exam:
https://www.shiksha.com/b-tech/gcet-exam.

Top Institutes offering B.Tech in nanotechnology are:
SRM Engineering College
Amity University, Noida
University of Technology, Jaipur
Aurora Group of Institutions
BITS, Hyderabad

Currently, NIT-Shillong is providing part time M.Tech, check out the details below :
http://2018nitm.nitmeghalaya.in/p/mtech-part-time-1.

Maximum duration to pursue a B.Tech course is 7 years from the starting year, if you fall in that time frame, then it is possible, otherwise not.

No, that is not possible. BE / B.Tech( Mechanical Engineering, Civil Engineering, Marine Engineering, Naval Architecture) is a Mandatory Course.
Check out the details below:
https://www.shiksha.com/engineering/course/m-tech-in-naval-architecture-and-ocean-engineering-indian-maritime-university-chennai