Hello Saikat,
Well, this is the average marks you have scored. It is difficult to get into any reputed Government college whether in any discipline, even if you are elligible for Government.You have not stated the course/stream you want to go in. But let me tell you the scenario. 
If you want to pursue with any BSc field then, you might not get Government Institute but yeah, may get into a Private College/Institute for sure.
If you want to pursue in BSc Nursing or  MBBS/BDS courses then, you would have to qualify NEET Exam. And of course with the marks you have scored you are elligible for NEET. The college will be approved on the basis of the marks you will score in NEET. 
For any further information, you may ask on this paltform.
Thank you.

Hey Saikat !
As per the eligibility criteria for any Govt. Medical College, a student must pass in all the subjects in which he/she has appeared in the Board exams and :

• UR students must have a minimum aggregate of 50% in the combined group of PCB.
• The same for OBC is 45%
• And the same for SC/ST is 40%

Considering your score of 53,50 and 75. You are well above the 50% Benchmark and quite elligible to take admission in any Govt. Medical College.

Hope this helps.

Good Luck !