Engineering

Two deemed universities in Bangalore are -
PES University, Bangalore and Sri Siddartha Institute of Technology, Tumkur
In Chennai
Shanmugha Arts, Science, Technology and Research Academy (SASTRA), Thanjavur
Sathyabama Institute of Science and Technology, Chennai
Bharath Institute of Higher Education & Research, Chennai
SRM Institute of Science & Technology, (SRM University) Chennai
Saveetha Institute of Medical and Technical Sciences, Chennai
Hindustan Institute of Technology and Science, Chennai
St. Peter's Institute of Higher Education and Research, Chennai
Vel's Institute of Science, Technology and Advanced Studies, Chennai.

For JEE-Mains, a score around 200+ is required for CSE. A score around 160+ is good enough to get a seat of in one of the branch as per cut-off for last year.

According to previous year details, closing rank will near to INR. 1,10,000.

Counseling will be started after mid of June. Good luck.

Some good institutes in Gujarat you can look for:
MAHARAJA SAYAJIRAO UNIVERSITY OF BARODA
BIRLA VISHVAKARMA MAHAVIDYALAYA ENGINEERING COLLEGE - [BVM], VALLABH VIDYANAGAR
AHMEDABAD UNIVERSITY, SCHOOL OF ENGINEERING AND APPLIED Science, AHMEDABAD
L. D. COLLEGE OF ENGINEERING - [LDCE], AHMEDABAD
You can also look in nearby state Madhya Pradesh
INSTITUTE OF ENGINEERING AND TECHNOLOGY, DEVI AHILYA UNIVERSITY - [IET -DAVV], INDORE
MEDI-CAPS UNIVERSITY, INDORE
MADHAV INSTITUTE OF TECHNOLOGY AND Science - [MITS], GWALIOR.

You might get admission in this college. You can apply for admission.
Good luck.

With these marks, there is a good chance to get this.

Here are the complete details about the counselling registration process
https://www.shiksha.com/exams/josaa.

Please search www.josaa.in and application fees is nothing.