Uttar Pradesh

BIMTECH, Noida would be a better choice as it has better placement record. BIMTECH is a good brand name. Avoid IBS B-schools as they have a very high student intake which creates a problem during the placements.

Both are good for pursuing PGDM courses depending on the choice of course in which you have your interest. BIMTECH offers PGDM in IBM, retail and IB. While XISS offers PGDM in HR, rural, marketing, finance and IT.

Dear,
You need to visit the website and submit the online form with the admission fee and follow the process.
You can opt for the exam centre and slot too. For that, you need to update your profile in the application form.
All the best.

Total of 450 seats are there for lateral entry admissions.

Yes, it is very much available in IILM.

For science, Sai Coaching Institute, Bishop George is good. For maths, I would suggest you to go for a personal teacher rather than coaching.

Among them Amity, Noida should be your first preference. The second preference should be UPES-Dehradun. The third is Jaipuria-Noida, based on the placement, salary packages and the number of companies which visit the campus for recruitment.
All the best.

From my point of view, Amity Noida would not be an appropriate choice for you. You can appear for CAT, XAT and GMAT exams and try to score high percentile to get admission in FMS, DU, IIFT or MDI Gurgaon. In Amity you get a school type of feeling and you must have to maintain around 75% of marks. If you fail to do so then you might get debarred from the exams and you have to pay fine per paper.