JEE

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.

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.

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.

You can see the admission details here http://www.nirmauni.ac.in/ITNU/BTECHAdmission.

Hi Mehul,
You can go for B.Sc in any stream but prefer maths, physics if you are interested to pursue. If you want to go other than Science you can also do B.Com BBA or BCA depending on your interest. All you need to score good in your board exams so that you can get into good course other than JEE exam. After your graduation then you can pursue MBA or go in some government jobs.
Good luck.

After completing 12 th Science without JEE, you can apply for the following courses :-
1) B.Pharma
2) MBBS
3) BAMS
4) BHMS
5) BDS
6)B.Sc in Physics / Chemistry / Botany / Zoology etc.

After completing 12th Science, without JEE, you can apply for following courses:-
1) B.Pharma
2) B.Sc. In Physics / Chemistry / Mathematics / Statistics / Electronics / Botany / Zoology
3) BBA
4) BCS
5) MBBS
6) BDS
7) BAMS
8) BHMS.

Yes. They can write JEE exam.