With 161 marks in the NEET exam and belonging to the OBC category, your chances of securing a seat in a government medical college might vary depending on factors like your rank, state, and the specific college's cutoff. Generally, in government colleges, you may have a better chance for courses like BAMS, BHMS, or BPT in your state or through All India Quota. For MBBS or BDS, you may need a higher score, but you can check state-specific counseling for detailed information.