Dear Palash,
Sorry to state you that you wont be getting any of tne colleges through AIEEE with this rank but dont worry there are other options for you. you can take admission at private engineering college at Bangalore or punjab. Here is a list of colleges you can prefer : -

    
University Visveswarya College of Engineering,  K R Circle, Bangalore 560 001
    
Sr. Krishnarajendra Silver Jubilee Technology Institute, K R Circle, B’lore 1

Private Aided Colleges

    
B M S College of Engineering,Bull Temple Road, Basavanagudi, Bangalore - 560 019

Private UN-Aided Colleges

    
Acharya Patasala Rural College of Engineering,Somanahalli, Near Bangalore
    
AMC Engineering College, Bannerghatta Road, Bangalore
    
B T L Institute of Technology & Management, Bommasandra, Near Bangalore
    
Bangalore Institute of Technology, Visveswarapura, K R Road,  Bangalore - 560 004.
    
Dayananda Sagar College of Engg,Shavige Malleshwara Hills, Kumaraswamy Layout,  Bangalore - 78
    
Dr Ambedkar Institute of Technology,Mallathally, (Near Jnana Bharati  Campus) Bangalore - 560 056
    
East Point College of Engineering & Technology,Bayappanahalli, Near Bangalore
    
Ghousia College of Engineering,Ramanagara, Bangalore dist -571511  ( Bangalore Rural )
    
H.K.B.K. College of Engineering,6/1, Cantonment Railway Station Road, Bangalore.
    
Islamia Institute of Technology,Bannerghatta National Park Road , Bangalore  - 560 076
    
J.S.S.Academy of Technical Education,Jayanagar, Bangalore
    
K S Institute of Technology, Raghuvanahally Near Bangalore
    
M S Ramaiah Institute of Technology,Gokul Extn Bangalore - 560 054
    
M V Jayaraman College of Engineering,Near Whitefield,  Bangalore  - 560 067
    
PES Institute of Technology, 100 Feet Ring Road,  Hoskerehalli, Banashankari III stage , Bangalore -85.
    
Rashtreeya Vidyalaya College of Engineering  (R V College) Mysore Road, Bangalore - 560 059
    
Revana Siddeshwara Institute of Technology,Chokkanahally , Near Bangalore
    
Shirdi Sai Engineering College,Magadi Main Road, Bedrahalli, Viswaneedam Bangalore -560 091
    
Sir M Visweswaraiah Institute of Technology,Hunasamaranahalli, Bettahalasur, Bangalore  - 562 157
    
Sri. Belimatha Mahasamsthana Institute of Technology,Nelamangala, Bangalore Sub-urb
    
Vemana Institute of Technology,Marasur, Near Bangalore
    
Vivekananda Institute of Technology,Kengeri,  Bangalore Sub-urb

and at punjab refer to the link : -
punjabgovt.nic.in/Education/LISTOFENGINEERING.htm
Thank you.