Hello Samarthya. You mentioned you have secured 56 percentile in MHT-CET 2021 and that you belong to SC category. It is hard to predict your exact rank as cutoff data and ranking scheme change significantly every year.  Based on your percentile secured, your Overall Rank may end up somewhere around 47,001 - 50,001 although this may vary considerably from the actual figure written in the grade card.  You mentioned you belong to NT-C Pastoral Group as well in the question.

As per previous year's data, you have good chances in a number of Engineering colleges (assuming you live near Mumbai City region)  such as:

1. Vishwakarma Institute of Information Technology, Pune (CE)
2. Dr Babasaheb Ambedkar Technological University, Lonere (Public/Government) (ME, EE, ECE, Petrochem. Engg, CE, Chem Engg, IT, CSE)
3. Government College of Engineering, Jalgaon (Public/Government) (Instrumentation Engg)
4. Department of Technology, Shivaji University, Kolhapur (Public/Government) (Food Tech, Chem Tech.)
5. Government College of Engineering, Chandrapur (Public/Government) (CE, ME)
6. Rajarshi Shahu College of Engineering, Tathawade (CE, ME)
7. MIT Academy of Engineering, Pune (ME)
8. Sinhgad College of Engineering, Pune (Chem Engg, ME, CE)
9. Dr DY Patil Institute of Technology, Pune (ME)
10. Dr DY Patil Institute of Engineering Management and Research, Pune (CE, ME)

and more...

To know your college admission chances based on your Domicile, Caste, Home University Region, etc. & exam result and to get your MHT CET personalised report with Top Predicted Colleges delivered on mail, I encourage you to use MHT-CET 2021 College Predictor:

https://www.careers360.com/mht-cet-college-predictor?utm_source=qna&utm_medium=mht_cet_cp

I hope you find this information helpful. I wish you all the best for your future.

Thank you.