Hello Shashank,

The chances for getting Government Medical College is only if you have scored more than 450 marks in NEET.

Use NEET College Predictor to Check Your MBBS/BDS Chances in All India Quota, Deemed Universities & State Quota seat Based on Your NEET AIR.
   https://medicine.careers360.com/neet-ug-college-predictor?icn=neet-clgpd&ici=qna-answer 

Hey.
Here is a list of government medical colleges in Karnataka and their respective cut offs in 2017 for the SC and the ST category respectively under the State quota. You seem to have a chance for a government seat.
Raichur Institute of Medical Sciences, Raichur
1,48,439

322
-
-
Shimoga Institute of Medical Sciences, Shimoga
1,29,309

341

78,214

402

Bidar Institute of Medical Sciences, Bidar
1,13,064

358

89,544

387

Hassan Institute of Medical Sciences, Hassan
1,28,504

342

71,628

412

Mandya Institute of Medical Sciences, Mandya
1,14,220

357

63,568

424

Belagavi Institute of Medical Sciences, Belagavi
1,40,968

329

70,864

413

Karnataka Institute of Medical Sciences, Hubli
97,359

377

51,684

444

Vijaynagar Institute of Medical Sciences, Bellary
1,07,668

365

54,986

438

Bangalore Medical College and Research Institute, Bangalore
67,424

418

47,271

453

Gadag Institute of Medical Sciences, Mallasamudra, Mulgund Road, Gadag
1,80,597

295

93,421

382

Employees State Insurance Corporation (ESIC) Medical College, Gulbarga
1,61,382

311

-

-

Koppal Institute of Medical Sciences, Koppal
1,57,215

314

1,03,119

370

Employees State Insurance Corporation (ESIC) Medical College, Bangalore
1,32,392

338

83,292

395

Kodagu Institute of Medical Sciences, Kodagu
1,64,743

308

1,27,668

343

Chamrajanagar Institute of Medical Sciences, Karnataka
1,54,210

317

1,24,790

346

Karwar Institute of Medical Sciences, Karwar
1,81,760

294

1,16,318

355

Gulbarga Institute of Medical Sciences, Gulbarga
1,34,987

335

95,547

379

Government Medical College, Mysore
79,958

400