Hello Neeraj,

As you are up for M.Tech Civil Test, I would like to suggest you a few college except Government 

1. MIT World Peace University, Pune

• This college is rated AAA in top Engineering colleges in Maharashtra. 
• Approved by UGC.
• Acrredited to NBA (National Board of Accreditation)
• Exams Accepted: MHT CET, JEE Main, GATE
• Fee: 11.4 lakhs
• Mode: Full Time
• Duration 4 Years
• 
  

2. Manipal Institute of Technology

• This college is rated AAA in top Engineering colleges in Karnataka.
• Approved by AICTE (All India Council of Technical Education)
• Exams: MET
• Fee: 14.11 lakhs
• Duration : Full Time                                                        
• Duration: 4 years

3. DELHI TECHNOLOGICAL UNIVERSITY , Delhi

• 
  
• Approval: UGC 
• State rank: AAAA+
• Campus size : 164 acres
• 
  
• Total faculty : 741
• Total students : 9347

4. DELHI UNIVERSITY, delhi 

• Approval: UGC
• Total faculty : 742
• Total students : 451309

5. GURU GOBIND SINGH INDRAPRASTHA UNIVERSITY.           

• Rating : AAA
• Accreditation : AAA
• Approval: UGC

6. JAMIA MILIA ISLAMIA,  new Delhi 

• Accreditation : NAAC A
• approval : UGC

Hello
Actually there are top NIT and also IIT are there but there other than that also some colleges are there now I am providing the information about that college by providing the link

https://www.google.com/amp/s/engineering.careers360.com/articles/mtech-admissions/amp

Inwhich gate is the one of best entrance exam to get in to the top colleges

All the best