Engineering Entrance Exam

Hello Trishi,
Your rank is far beyond to get admission in any government college. However check here for more insights:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor

Yes, computer science engineering is eligible for GATE entrance exam.

Hello Ramkishor,
After doing B.Sc, you are not eligible to take GATE exam as it is for BE/B.Tech graduates to do M.Tech from IITs. Only with a B.Sc or BCA degree you cannot take GATE exam.
You can do M.Sc and then you can appear for GATE exam. You need to have M.Sc degree if you have done B.Sc, but if you have completed B.Tech or BE degree then you are eligible directly for GATE.

If your state of domicile is Delhi then at least 200 marks are required for core branches such as ECE, ME, CSE or IT.

Hello Karthik,
As per your marks, there are really low chances to get a good NIT. I think your rank will be around 1.5 lakhs-2.5 lakhs.
So even if you get admission in NIT it will not be a top one. You may get NIT-Agartala, Meghalaya, Sikkim, etc., they are not equal to top NITs like Trichy, Warangal, etc.
As the official cut-off ranks have not been released you may refer to the link below that gives you the closing and opening ranks for 2016 to check your possibility:
http://josaa.nic.in/Result2016/result/OpeningClosingRank.aspx
You have cleared JEE Mains so there are some chances for you to get admission in NIT.

Yes. But please see that the previous years closing rank for B.arch at IIT Kharagpur was 8778.
So, will have yo get a rank accordingly to enter the college.

You are eligible to appear for JEE after Diploma in Engineering to seek admission in IITs.

The total fee will depend on the category in which you take admission. For category 1, the total fee is approximately 8 Lakhs.