I have a few friends from the institute and according to them with a rank of 11900 in JEE Mains it will be difficult to get into CSE at NIT Goa. You should look for other colleges in order to get into your preferred branch. Here is the cutoff of NIT Goa for 2021.
B.Tech branches | General | |
Home State | Outside State | |
Civil Engineering | 87610 | 31362-35494 |
Computer Science and Engineering | 14581 | 7420-10323 |
Electrical & Electronics Engineering | 73349 | 19728-21121 |
Electronics and Communication Engineering | 34058 - 53405 | 14553 - 16711 |
Mechanical Engineering | 82553 - 83783 | 23542 - 26295 |
Look for the previous year's cutoff on the previous JEE main website, which will give a pretty rough idea about what branch and college you can get into. However, I will not recommend NIT Goa for CSE. Since it is a new college and no big or well-known companies come there for placements. Infrastructure and resources are not as par according to NIT standards. You can also try some private universities such as BITS, Thapar, VIT, or MIT.