Uttar Pradesh

Amity is a good university but it is a little expensive

They are many;
IHM, pusa road
UEI Global
IIHM
Rizvi college

Hi Sandarbh,
Here're some of the best colleges in NCR for pursuing Mechanical Engineering:
Delhi College of Engineering
IIT Delhi
Faculty of Engineering and Technology
Algol School of Management & Technology
Sushant School of Art and Architecture
Institute of Technology and Management (ITM)
Apart from these you can also consider UPES Dehradun as its not very far from NCR and very good option for Mechanical Engineering. It offers specialized Mechanical engineering courses in domains like Nano technology, Thermal engineering, Production etc.

Hi Anu,
Refer to https://ask.shiksha.com/please-tell-me-about-best-clat-coaching-institutions-in-allahabad-for-12th-pass-out-students-qna-3665604

Prefer if you have good entrance score, look out for more options rather than making choice in between all of them mentioned.
Refer other reputed colleges

JIIT noida has a better placement record