Dual

There are more than 300 seats in Integrated M.Tech courses.

Hey Maneeshwar you have a good rank just go through this link and fill out the required details
College predictor in shiksha
https://www.shiksha.com/college-predictor

Aspirants who apply to the Institute must pass the Cutoff for various courses. The Cutoff will be determined by a number of factors, including the number of applicants, the number of seats available, the difficulty of the exam, and the institution's prior admissions history. The NIET Greater Noida Cutoff is the minimum mark required by the selection board for the admission of students. The merit list, along with the rank of candidates, will be designed on these Cutoff scores.
You can check cutoff by shiksha cutoff predictor.

Well , MSc Physics in VIT is very good . Rather than doing MSc in other private institutions , you should choose VIT. Here no specialisation in MSc Physics is provided. The lab facility is very good.
There are approx total 5000 seats available across all the campus of VIT and the number of seats for a particular course changes according to the application and the result.
you can join VIT even if you don't appear for VITEEE, because VITEEE is an entrance examination only for admission to B. Tech courses but if you are seeking admission in any other course like BA/B.Sc./B. Arch and some others then you don't need to appear in VITEEE.

You can get into Nirma University with a good score in 10+2 and for MBA you have to appear for either CAT or UGAT. In CAT you should have to score above 75-80%tile

The latest cutoff information for MBA + Employability + MDP at RIIM Pune for 1st Round is 61.92 %tile and for 2nd round is 65.62 %tile

Yes, you can get a seat in VIT Vellore with a very slight possibility but there is a high possibility of getting into VIT Chennai.

Yes, but it depends on your M.Tech rank. If your rank is below 2k then you have a high possibility of getting into Vellore VIT. If your rank is above 2k and below 5k then there is a slight possibility of getting into it but prepare your mindset, because you might end up getting in VIT Chennai in the highest possible case.

65% must be required in Graduation to take admission in Integrated MBA at SOA

Hi.Candidate should pass class 12 th with 50%.
.For information you can see below
https://www.shiksha.com/college/maharishi-center-for-education-excellence-mim-bhopal-45600/courses/ba-bed-bc
Thanks