Colleges in Ajmer

Don't lose hope. Try for the last round of counselling process. I am damn sure that you can get good colleges according to your marks.

Yes, you may apply for State exams for different colleges.

Admission is through counselling based on the score obtained in Common Entrance Test (CUCET). Eligible candidates need to appear for Central Universities Common Entrance Test (CUCET). Please refer to the link provided below for eligibility and other details to pursue this course from Central University of Rajasthan.
https://www.shiksha.com/teaching-education/course/integrated-m-sc-b-ed-in-physics-central-univeristy-of-rajasthan-ajmer-268877

For top colleges, you need above 120.

Just follow the link to predict the college which best suits you according to your rank-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=7476690
Best of luck!

Rajasthan state conducts technical university exam which will be required to appear for getting admission in this college.