Hello, 

As your rank is 5k+ so basically being from Gen category you have less chances to get your seat in college. 

You can opt for counseling depending on seat to student ratio and which stream or course you are Choosing, cut off will vary. You might get a seat depending on thr cut off but being gen, chances are less. 

The allotment list will only be published after the counseling and only those who have cleared the cut off and eligibility criteria will be only alloted college on their rank. 

Good luck