Hi Krishna, according to the first round results of Tamil Nadu, with 375 marks and BC category, seats have been alloted at Tagore Dental College and Hospital, JKK Nataraja Dental College and Hospital,Adhiparasakthi Dental College and Hospital. 

So it is difficult for you to get a government quota seat in private medical college this year. Stil, you can wait till mop up.

Hello Krishna,  still cut offs for this year has not released yet so you can make prediction on basis of last year cut off. As per the last year cut off students with 500+ marks got seat in government medical college in Tamilnadu,  so it is quite difficult to get admission in government college for you. But still you can try because this cut off are not final,  cut off changes every year depending on various factors.

I hope it will help you. 

Thanks.