Dual

Just go through this link and fill out the required details:
https://www.shiksha.com/college-predictor

You can apply for all the government jobs for which minimum requirement is graduation in any discipline.

SPJIMR does not offer 5-year integrated management (Bachelors+Masters) programmes.

Hello,
You can check it by clicking the following link :-
https://www.shiksha.com/college/iim-indore-indian-institute-of-management-iimi-29623

Integrated course provide you both bsc and msc for only bsc opt bsc only course.
The minimum eligibility criteria needed to be met for admission to the course are: Higher Secondary (10+2) qualification completed from a recognized university, with a minimum aggregate score of 50%. Science subjects such as Physics, Math, and Chemistry as the main subjects of study at the 10+2 level.

B.Ed Course Eligibility:
A minimum aggregate score of 50% in graduation is a requisite for admission. A minimum aggregate score of 55% at post-graduate level is mandatory for admission into colleges for the B.Ed curriculum.
Subjects Required: Graduation/Post Graduation from the recognised university.

Yes, you are eligible for the same and for further information I am sharing the link https://www.shiksha.com/exams/kset you may find more relevant things which you are looking for.

If they provide integrated course then definitely you can apply. The integrated M.Sc. + B.Ed in chemistry, the process is you have to appear for CUCET and admission is based on the counseling and score obtained in CUCET. I am sharing link of respective college https://www.shiksha.com/university/tezpur-university-tezu-269/courses you may find important detail which you are looking for.