It's difficult to predict your chances of getting admission to the National Institute of Technology (NIT) Goa with an OBC rank around 11,000 as the cutoff for admission to the institute varies each year and depends on several factors, including the number of applicants, the difficulty level of the exam, and the availability of seats in each program.

However, based on the previous year's cutoff trends, it is unlikely that you will be able to get admission to NIT Goa with an OBC rank around 11,000. Typically, candidates who secure a rank within 5,000 have a higher chance of securing a seat in the institute.

It's important to note that meeting the cutoff score is only one of the eligibility criteria for admission to NIT Goa. The institute considers other factors such as the candidate's academic performance, the number of applicants for a program, and the reservation policies, among others, for final admission decisions.

You can check the official website of NIT Goa to get the previous year's cutoff scores for the OBC category and get an idea of your chances of admission. Additionally, you can also keep an eye on the institute's admission notifications and cutoff scores to stay updated on the admission process.