CAT

Hello
Shortlisting of getting an IIM interview call mainly depends upon your academic and the CAT scores. If the purpose of taking a drop is backed by legit reasons, it should ideally not be a problem.

Top MBA/PGDM colleges in North India are:-
1. FMS, New Delhi
2. MDI, Gurgaon
3. IIFT New Delhi
4. IMT, Ghaziabad
5. IMI, New Delhi
6. IIM Lucknow
7. IIM Amritsar.

There is no specific cutoff as such, it varies every year depending on the how many students apply, any student who has a valid score can apply to NIT Trichy. If you are shortlisted, your admission will be based on your subsequent performance in GDPI.

There are plenty of them online. But it's hard to pick one. Check out individual website and see whether they offer good value for money.

According to my experience, it is not possible as you should have good percentile in academic and CAT too as they play a big role in the admission process.

Yes, you will get a call, be prepared. Your academic records are excellent and you even have work experience which will place you in good position as compared to freshers. For further details check the Shiksha college predictor. Link is :
https://www.shiksha.com/mba/cat-college-predictor

Yes, at this percentile you definitely will be shortlisted for IIM Ahmedabad.

Hello,
Yes, since all the necessary backlogs of your BBA semester one exam have been cleared, you are eligible to appear for the CAT 2019. All the best.

Cutoff of CAT 2019 for IIMs
Category VARC QA
General 85 80