Colleges in Jaipur

No, NIOS does not provide computer Science engineering or IT, check out the link below for the list of programmes offered by NIOS
http://www.nios.ac.in/.

Yes, the minimum placements start at 12 LPA for students of all or any specialization. The placements usually happen at least 6 months before the completion of the course.
Human Resource Management is one of the sought out branches by the students with companies like Jaro, Hilton, Royal Orchid and the likes offering internships and placements.
Even SAP is available in the module called the human capital management, thus, HR students have great opportunities.

Yes, Amity University is definitely a good idea but you can look for other options too and not just stick to one.

Yes, you can take exam and after the declaration of your 12th result, you have to submit it's printout copy at the university to get the scholarship.

M.Sc yoga is better than BA yoga, because in M.Sc, you will get physical yoga knowledge, as well as scientifically postural knowledge too.

Sorry, according to last year admission process RTU takes admission through REAP (RAJASTHAN ENGINEERING ADMISSION PROCESS) which is fully based on JEE main marks. You can now started applying for private university or try again.

Candidates appeared in 10+2 board examination Science and Mathematics from any recognized university or equivalent board, will be eligible to apply in B.Tech programme. To accomplish the eligibility of B.Tech Lateral entry the candidates need to hold a Polytechnic Diploma in relevant discipline in case they want admission directly in the 3rd semester.

B.Tech lateral entry course is provided by NIMS University, but not necessarily for petroleum engineering, you need to check with the college for the same.
https://www.shiksha.com/b-tech/course/b-tech-lateral-entry-nims-university-nims-jaipur-236275