Hello Zishan, If you are local residents of jharkhand then you will eligible to get Home state Quota in NIT Jamshedpur as Jamshedpur lies in jharkhand.

It's difficult to tell you the exact rank or score to get into NIT Jamshedpur or other NITs, IIITs & GFTIs.

Last year closing Cutoff rank for  CSAB- Round 2 Home state OBC Candidate was 41.222 in NIT Jamshedpur Mechanical Engineering which held after the completion of first 7 rounds of JOSSA.

If you have any queries regarding this then you can ask in the comment section.

Hello student predicting exact cut off is bit difficult as it vary every year on various factors like the level of question in the entrance examination and total number of applicants in that examination. But as per past year cutoffs you need to score less than 10,000(last year cutoff 9151) rank to get admission into NIT jamshedpur if you've jamshedpur domicile.
Application for jee main April examination starts from 07th of February and shall remain open till 07th of March 2020.
For more updates on NIT JAMSHEDPUR cut off refer to the link mentioned below
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-jamshedpur/amp
Feel free to comment if you have any doubt
Good luck

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