Hey there, you have scored 242 marks in NEET and you also belong to BC Category. Sorry to say but your marks are quite low for taking admission in government college as your marks are quite low for that but still you can check the new cutoffs list of the government college in your state and confirm there too. 

I would rather suggest you check the colleges available for you at these marks at College Predictor at Careers 360 only and it will be very helpful for you while getting a seat there. It will be very helpful for you as it will show the best colleges available for you according to your category and even home state rank.

https://medicine.careers360.com/neet-college-predictor?icn=neet-clgpd_landing-page&ici=prediction-section_c360-home