you belong to bihar so your category will be considered general and no reservation in for other state..getting in to government college just seems to hard and by chance for a good college as there will be 95-100% reservation for the west bengal students.

you have to go for private college for adm.

these are college whose last cutoff is above your rank that is you may be elligible there.-

Netaji subhas engineering college

Techno india college of technology

RCC institute of engineering and technology

st thomas college of enginerring and technology

Dr sudhir chandra sur degree engineering college

ream institute of technology

OmDayal group of institutions

Pailan college of management & technology

swami vivekanand institute of science and technology

branch should be of your choice and interest but cse and ece have better placement than other branch

hope it helps

me