hi,

see cutoff score changes in every year and it depends on certain factors like number of applicants, questions difficulty level, seat matrix, students category etc. since you have not mentioned any particular category, considering as general merit of below 40000 rank, here is the few colleges as per the last years cutoff,

Acharya Institute of Technology,Soldevanahalli,Hesarghatta Main Road,Bangalore

Adhichunchanagiri Institute of Technology,P.B.No - 91,Jyothinagar Post,Chickmagalur

Atria Institute of Technology,1ST Main Road, AG's Colony,ASKB Campus, Anandanagar,Bangalore

Ballari Institute of Technology and Management,'Jnana Gangotri', 873/2,Bellary-Hospet road,Near Allipur Bellary

Bangalore College of Engineering and Technology,Near Heelalige Railway Station,Anekal Taluk,Chandapura, Bangalore

Basaveshwara Engineering College,P.B. No.53,Vidyagiri,NIJALINGAPPA,Bagalkot

Cambridge Institutute of Technology,Basavanapura Main Road,K R Puram,Bangalore

University Visvesvaraya College of Engineering (UVCE).

RV College of Engineering.

Dayananda Sagar College of Engineering (DSCE)

National Institute of Engineering (NIE)

BMS Institute of Technology and Management.

Malnad College of Engineering.

You may use Careers360 kcet  college predictor tool to know your predictable colleges