CBSE 10th

Of course you will be allowed and eligible to sit in the companies

Parapsychology is a pseudo-Science. However, many institutes do offer parapsychology as a course. Google up some institutes in your city to know more. Also, this link should help you understand more about the field.
https://en.wikipedia.org/wiki/Parapsychology

Yes the Criteria to get admission in MBA is 60% throughout. But then once go through the admission procedure of Christ because there are cases where below 60% is also acceptable

N.C.E.R.T is the best books for 10th. All the basic concepts are very well explained in that. If you want to refer some more books than for Maths-R.D.Sharma, Science-Arihant.

ISB&M Nande is a much more better option than BIMM not only on the academic basis but for the further individual enhancement which leads to over all development of a candidate. Regarding the infrastructure of the campus, it is situated in one of the best location of the Pune with good accommodation and many other facilities within in the campus.
For the placement the average placement lies between Rs 6-7 lakhs while the highest went to Rs 17 lakhs. Brands like Credit Suisse, Asian Piants, Con Agra, Volvo, etc. come for the summer as well as finals recruitment.

You can choose any board as it doesn't matter.

sorry my friend there is not any category system
only marks will be matter approx. 70percent marks atleast you have from 12

Check this link for the same:
https://www.shiksha.com/understand-the-short-listing-criteria-of-all-13-iims-article-5379-1

Check out this link for previous year's cutoff according to colleges -
https://www.shiksha.com/minimum-cat-2015-percentile-required-for-admissions-at-iims-article-11265-1
At 90 percentile you can apply for BIM-Trichy, GIM-Goa , IFMR-Chennai and few others, but these are some good colleges. IFMR is known for Finance among corporate and it is at par with IIMs with 100% placement record. GIM-Goa is having good past track record and BIM-trichy is upcoming with disciplined study culture and decent placement record.