Hello,
Generally, it's challenging to secure admission in top-tier government colleges without appearing for an entrance exam. These colleges usually follow a merit-based system, considering your 12th board exam scores and, in most cases, an entrance exam score.
There are some possibilities to this :

1. Direct Admission Based on Merit:

• Some government colleges might offer a limited number of seats based solely on 12th board percentage.
• These seats are usually very competitive, and the cutoff marks are often high.

2. Reservation Quotas:

• If you belong to a reserved category (SC/ST/OBC/PWD), you might have reservation benefits.
• The cutoff marks for these categories are generally lower than the general category.

3. Lateral Entry:

• Some government colleges offer lateral entry programs for students with relevant diploma qualifications.
• This can be an alternative to the traditional admission process.

4. Private Colleges:

• Many private colleges offer admissions without entrance exams, but the quality of education and placement opportunities might vary.
  
  

I hope this information helps you.