Hello.

Here is the previous year (2018) cutoff for a sc student to get Cs branch in nit jamshedpur (home state) 

Round one :

• Opening-2539
• Closing-3344

Round two :

• Opening-2804
• Closing-3750

Round three :

• Opening-2804
• Closing-3750

As you can see it didn't change pretty much after the third round. To check more previous year's cutoff, please go through the following links

https://www.google.co.in/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-nit-jamshedpur/amp

https://www.collegepravesh.com/cutoff/nit-jamshedpur-cutoff-2018/

Hope this helps .......