Hello Aspirant,

As we go through the latest cut-offs of JEE-Main 2020 of JOSAA final round then it shows that :-

Closing CRL rank for NIT Nagpur was :-

• Mechanical Engineering branch - 17850 (Home state quota)

So you have very low or almost no chances to get NIT Nagpur with Mechanical Engineering branch even if you have Home state quota.

You can check out the latest cut-offs from the link given below :-

https://josaa.nic.in/Result/Result/currentorcr.aspx

Note that the above prediction is made on the basis of latest cut-offs available on official website of JOSAA or CSAB and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Main College Predictor:-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

If you are preparing for JEE-Main 2022 then I would recommend you to check the resources made by our experts to help aspirants like you in the best and smart preparation of JEE-Main 2022 :-

https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA

You can also check out the JEE-Main 2021 cut-offs and know whether you have qualified for JEE-Advance 2021 or not, so it is given below :-

==>> Common Rank List (CRL) - 87.8992241-100.0000000 Percentile

==>> GEN-EWS - 66.2214845-87.8950071 Percentile

==>> Other Backward Classes (OBC-NCL) - 68.0234447-87.8950071 Percentile

==>> Scheduled Caste (SC) - 46.8825338-87.8950071 Percentile

==>> Scheduled Tribe (ST) - 34.6728999 87.8474721 Percentile

==>> PwD - 0.0096375-87.8273359 Percentile

You can check more details about JEE-Main 2021 cut-offs from the link given below :-

https://engineering.careers360.com/articles/jee-main-cutoff

I hope this information helps you.

Good Luck for your future!!