Hello Aspirant,

Yes of course it is upon you which college you choose for your further studies. See JEE-Main qualifying cut-off is only to make you eligible for JEE-Advance and admissions are made through the ranking obtained by you in JEE-Main. Some good private engineering institutions in which you can take admission are enlisted below :-

• Amity School of Engineering, Noida
• Amrita Vishwa Vidyapeetham, Coimbatore
• Birla Institute of Technology, Mesra
• Indian Institute of Information Technology, Guwahati
• Kalinga Institute of Industrial Technology, Bhubaneswar
• SRM Institute of Science and Technology, Chennai
• Shiv Nadar University, Greater Noida
• Thapar Institute of Engineering and Technology, Patiala

For complete list of private colleges through JEE-Main score, kindly refer to the link given below :-

https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India-accepting-jee-main-score

You can also use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

I hope this information helps you.

Good Luck!!