Gujarat

Yes, you can. JEE is an entrance exam getting admission for all over India Engineering College, but GUJECT is engineering entrance exam for Gujarat Engineering College which gives quota prefers more for Gujarat Residents. Both Organization organise on their own and interdependent to each other.

Please visit on this site first
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwinlfe5qLPhAhUJpY8KHf_xCRIQFjAAegQIAhAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.

Obviously, Thapar Institute of Technology, because it has good rating and you will have a royal life in your college days. Because, both are chemical engineering that's why I am preferring you Thapar Institute of Technology.

It is conducted by the Admission Committee for Professional Courses (ACPC) for Engineering and Pharmacy programmes, GUJCET is a gateway for admissions to all Government, Granting aid and self-financed institutes in Gujarat under Government quota seats and Management quota. The exam was scrapped a few years back, but made a comeback in 2017.

It is in Rohtak, check out the address below on the official website :
http://mdudde.net/info/contacts.html.

There are many more lists, but I am providing you few list below:IIM Ahmedabad
IRMA Anand
MICA Ahmedabad
Institute of Management, Nirma University, Ahmedabad
Faculty of Management Studies, MSU Vadodara
B. K. School of Business Management, Gujarat University, Ahmedabad
GH Patel PG Institute of Business Management, Vallabh Vidhyanagar
Post Graduate Institute of Management, Amrut Mody School of Management (AMSoM), Ahmedabad
St. Kabir Institute of Professional Studies (SKIPS), Ahmedabad
Note: Please do research on all institutes once at your end.

Top 10 govt & private colleges for MBA-
1) Indian Institute of Management Ahmedabad.
2) Indian Institute of Management Bangalore.
3) Indian Institute of Management Calcutta.
4) Indian Institute of Management Indore.
5) Indian Institute of Management Lucknow.
6) Management Development Institute, Gurgaon.
7) Department of Management Studies, Indian Institute of Technology, Delhi.
8) National Institute of Industrial Engineering, Mumbai.
9) National Institute of Industrial Engineering, Mumbai.
10) Indian Institute of Management Raipur.

NZ is a great option as per job security. Next comes Australia. Studying in U.K is better. But combining both, Australia suits better to Indians except for certain miniscule hate crimes.