Siddhartha, I will list the NITs where you can get Mechanical engineering. This is based on your rank and previous year cutoffs. You can try for admission in the following colleges:-

• National Institute of Technology Agartala
• National Institute of Technology Arunachal Pradesh
• National Institute of Technology Meghalaya
• National Institute of Technology Nagaland
• National Institute of Technology Sikkim
• National Institute of Technology, Manipur
• National Institute of Technology, Mizoram
• National Institute of Technology, Srinagar
• National Institute of Technology, Uttarakhand

But again it depends on the number of students who appeared for the exam and as well as the difficulty of the paper.

Feel free to ask if you have any more queries.

Hope this helps!

All the best!

You have the choice of more than one NIT for the mechanical branch in general category based on yor rank. It is a long list of NITs for which you are eligible. So a link is provided where you can find out the cutoff marks for the year 2018 for mechanical engineering and you can compare your rank and you will have the idea for the institute you will get.

https://engineering.careers360.com/articles/nits-cutoff-for-btech-mechanical-engineering