hello vatsal nanda!!
with 60000 rank in jee mains and under general category you would be getting the following colleges :

Indian Institute of Carpet Technology, Bhadohi

Textile Engineering

YMCA University of science and Technology, Faridabad

Electrical Engineering

YMCA University of science and Technology, Faridabad

Mechanical Engineering

Deenbandhu Chhotu Ram University of science and technology , murthal district sonepat

Electronics & Communication Engineering

YMCA University of science and Technology, Faridabad

Civil Engineering

University Institute of Engineering and Technology, Rohtak

Electronics & Communication Engineering

Institute of Chemical Technology, Matunga, Mumbai

Petroleum Engineering.

YMCA University of science and Technology, Faridabad

Electronics Engineering

Institute of Engineering and Technology, DAVV, Indore (1996)

Civil Engineering

Institute of Chemical Technology, Matunga, Mumbai

Dyestuff Technology

and many more...

I m providing you a link for  knowing colleges in which you can get a seat for your rank  in JEE MAINS  and category,please see the following link :

https://engineering.careers360.com/jee-main-college-predictor

Https://engineering.careers360.com/jee-main-college-predictor?utm_source=C360&utm_medium=qna&utm_campaign=jee-main-college-predictor

All the best