Hi aspirant,

For doing engineering you have to give Jee. The eligibility for the same is -You should have passed Class 12th Exam or any equivalent qualifying examination in 2018 or 2017.If you appeared in 2015 for class 12th and passed the class 12th in the year 2016 will be considered as eligible to apply for JEE Main 2020. So you cant get admission through JEE exam. Though you can secure a seat through management quota which requires you to pay donation fee(additional fee with normal fee). There are few colleges that conduct their own tests for admission in engineering but there arnt any colleges in gujarat. Other than in gujarat you can try for these test for admission into specific colleges-

1. BITSAT :- admissions to the most prestigious Private college in India.
2. VITJEE :- Vellore institute of Technology.
3. SRMJEE
4. JMIEEE:- Jamia Milia Islamia
5. KVPY:- Kishore Vigyanic Prohostsahan Yojana
6. Indian Statistical institute entrance.
7. Manipal institute of technology
8. KCET/COMDEK (comdek for outsiders Karnataka)
9. APCET

Hope this helps.