Exam

Dont know about CAT, but JEE and NATA are the scores accepted by many university, some accept JEE, and some NATA only.

Hi, cut off's differ from university to university.
Kindly go through the below link. Hope this will resolve your query. https://www.shiksha.com/jee-mains-college-predictor
All the best.

Although chances of getting ICT is less but it's not impossible. Its for the first time computer engineering is introduced in PDPU so data on previous year rankings are not available. Indeed computer branch is being introduced for the first time and no one knows whether it would be good but computer

https://www.shiksha.com/mba/ranking/top-mba-colleges-india-accepting-mat/2-2-0-0-306
It is completely beneficial as candidates appearing shall be very less than others.

Yes part time MBA can be done. Also there are many correspondence courses available in India and distance learning is being provided by many good universities. So you can go for it. Choose with MBA in Marketing or HR as these have more of theory which will be easy for you to study and give exams.

Yes you shall be eligible for the same after graduation in BBA. Complete details of exams and admissions have been published below.
http://www.pscwb.org.in

https://www.shiksha.com/mba/exam/mat
Complete details provided above for paper pattern and free mock exams.

The results are more or less the same, However you can compare your rank with the last rank and can get fair idea of your percentile, accordingly you can apply for admission.