Hello Saiyam Sachan

I guess you meant NIT and not NIIT

If you meant NIT then Yes, you can get CS in NIT by getting 10000 rank in IIT JEE. You may get in the Other State quota the following NITs

• NIT, Arunachal Pradesh
• NIT, Manipur
• NIT, Meghalaya
• NIT, Mizoram
• NIT, Nagaland
• NIT, Sikkim
• NIT, Srinagar
• NIT, Uttarakhand

Cutoffs vary every year due to the papaer difficulty level, no of students appearing for the exam and counselling and no of seats available in the college. 

For more information about past year cutoffs visit our site https://engineering.careers360.com/articles/nits-cutoff-for-btech-computer-science-engineering