Hi aspirant

You can apply in NITs of North Indian states.You will get that based on your score.Like NIT manipur,NIT Meghalaya,NIT goa,NIT Bhopal,IIIT shibpur etc.

The cut offs of the college are listed here:

NIT Manipur: https://engineering.careers360.com/articles/gate-cutoff-for-nit-manipur

NIT Meghalaya: https://engineering.careers360.com/articles/gate-cutoff-for-nit-meghalaya

NIT GOA: https://engineering.careers360.com/articles/gate-cutoff-for-nit-goa

NIT Bhopal: https://production-careers360.s3.ap-south-1.amazonaws.com/s3fs-public/NIT-Bhopal-GATE-2016-Cutoff.pdf?_8FwMUI5GmQB_OFuMLlnCAO2cD5vNPkm

IIIT shibpur: https://engineering.careers360.com/articles/gate-cutoff-for-iiest-shibpur

Hope this was helpful.