Your approximate rank is 19000-20000. With this rank, you'll have very limited options to choose from. Some of the Government Engineering Colleges that you can get with State Merit, that is, general category, along with the branches which you have a slight chance of getting are :

• GEC Idukki - IT only

Some government controlled Colleges that you can get are :

• College of Engineering, Adoor
• College of Engineering, Aranmula
• College of Engineering, Attingal
• College of Engineering, Cherthala
• College of Engineering, Muttathara
• College of Engineering, Kottarakara
• College of Engineering, Kidangoor
• College of Engineering, Karunagapally
• College of Engineering, Perumon
• College of Engineering, Munnar
• College of Engineering, Pathanapuram

Hope this helps

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