Dear Vaibhav, you haven't mentioned your Category. Neverthless, the colleges that you might get under different Categories for your sxore based on 2018 cut offs are:

General Category:

MP Shah Medical College: 478
GMC, Surat: 494
GMC, Bhavngar: 473

SC:

BJ Medical College: 440
GMC, Baroda: 411
MP Shah Medical College: 376
GMC, Surat: 394
PDU Medical College: 383
GMC, Bhavnagar: 372

ST:

BJ Medical College: 332
GMC, Baroda: 277
MP Shah Medical College: 230
GMC, Surat: 264
PDU Medical College: 237
GMC, Bhavnagar: 238

SE:

BJ Medical College: 488
GMC, Baroda: 445
MP Shah Medical College: 410
GMC, Surat: 120
PDU Medical College: 420
GMC, Bhavnagar: 408

Having said that cut offs change every year.

Hello student,
With a score of 497, you can procure a seat in the government medical colleges when comparing the results of previous years. But you have not mentioned which category you belong to. Last year, a minimum score of 473 was required to fetch one a seat in the government medical college, Bhavnagar in general category under the state quota. So, no worries! Also, one thing to keep in mind is that scores and ranks vary each year with difficulty level of the question paper and availability of seats. However you can predict the colleges which you are likely to get using the given link
http://medicine.careers360.com/neet-college-predictor
Good luck

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