Based on your BCECE ranks (UR 14417, BC 5328, RCG 3585), you may have a chance of getting admission in some engineering colleges in Bihar, but it will depend on the availability of seats and the final cutoff ranks.

Some key points to consider:

- The BCECE cutoff for general category seats is usually higher than the cutoff for reserved category seats.

- Seats are allocated based on merit, preference of colleges/branches, and reservation category.

- Counseling is done in multiple rounds, so your chances improve if seats remain vacant after initial rounds.

- Cutoffs vary each year based on the number of applicants and difficulty level of the exam.

To get a more accurate assessment, you should wait for the BCECE 2024 counseling process and cutoff details to be announced. Check the official BCECE website regularly for updates.

Consulting career counselors or seniors who have gone through the process can also provide helpful insights.