Nagpur

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=7476690
Check this out.
Hope this helps.
Best of luck.

The JEE Mains cutoff for VNIT, Nagpur was 150 in 2017.

Please refer to the link provided below for a detailed comparison between NIT-Surat and NIT-Nagpur for a course in CSE. You should be able to decide which college you prefer after comparing the features of each of these colleges. https://www.shiksha.com/resources/college-comparison-182107-61703.

Sorry, but there is no ALLEN coaching classes in Nagpur but try for IIT-HOME: It is also the best coaching institute.

Just follow the link to predict the college which best suits you according to your rank-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=7476690
Best of luck!

Please check for your eligibility to pursue B.Tech at Delhi Degree College, Badarpur from the criteria mentioned below:
Admissions will be made on the basis of merit in 10+2. Interested candidates can apply online with required information. Candidate must have passed 10+2 from any recognized board.
For further information regarding this course, please refer to the link provided below:
https://www.shiksha.com/b-tech/course/b-tech-delhi-degree-college-badarpur-badarpur-169084