Hey dear as per  rank I would suggest you some good colleges exam wise

Hey dear on Basis of Comedk I would definitely help you with some good colleges you can surely get check these out

 considering you a General category student .

So these are the colleges below

• JSS science and technology Mysuru 
• Dayanand sagar college of Engg Bangalore 
• Bangalore knsti Of Technology
• Ramaih Institute Of Technology 
• BMS Institute Of technology and management 
• Siddaganga Institute Of technology Tumkur 

So these are some colleges for more list approximately 50 more you can use tool im posting link below 

Https://engineering.careers360.com/comedk-college-predictor

on basis of JEE

For rank 10,000–15000.CSE branch is very very tough to get in good as well as middle Nits.if you want CSE in lower Nits first see Placement statistics .

You may get mechanical in 10–15 (rankof nit)Nits fill options for that. Good chances for electrical as well. You can get civil engineering in top 10 or top 12 Nits.