Hi, nilajan.

Neet is an all India common entrance examination for the admissions into the both government and private colleges for undergraduate courses for the medical aspirants. 

It would have been helpful if you had given us your category to answer your question better 

The minimum marks required for a student of your category in a government college in westbengal is more than 350 in many colleges for first counselling,  but you can surely get into the top colleges in second and third counselling. 

For the state quota, the minimum marks required for a state quota student is also more than 300.

As you did get the required marks, you might be able to get into the colleges with the state quota 

Please check the link below for the more accurate information about the colleges 

Https://medicine.careers360.com/articles/neet-cutoff-west-bengal/amp

Goodluck

Yes ofcourse the cut off is even low for that