Colleges in Tiruchirappalli

You have to score 250+ in JEE Mains to be on the safer side to get your desired branch. The score can differ according to the branch you need and your category.

Hi,
Dhanalakshmi Srinivasan Engineering College offers the most focused MBA specialization like Marketing, Human Resource, and Finance & System. It doesn't offer MBA with logistics and supply chain management.
https://www.shiksha.com/mba/course/master-of-business-administration-dhanalakshmi-srinivasan-engineering-college-tamil-nadu-other-55157

NIT-Trichy takes admission on the basis of JEE Mains paper-1 given by B.Tech aspirants.

Yes, it is worth it. But if you are taking a drop year, your main aim should be the top IITs. After that, NIT-Trichy and Warangal are good.

Go for IIT-Guwahati. IIT-Guwahati is ranked 7 while NIT-Trichy is ranked 11th. Also IIT tag is more valuable than NIT tag.

No, only PGDM and EMBA courses are available in IIMs and there is no such correspondence course available.

Few exams which can open the gate for MBA from a premier college are CAT,XAT,SNAP,NMAT, GMAT and few more. So better start preparing for these exams before 6 months of the exam dates. Buy Arun Sharma books, start watching videos of CAT preparation coaching classes. For example: Takshila youtube channel. Start preparing as your undergraduate marks seems good & also you are a quant person you won't face much difficulty in preparing. You need to focus more on the verbal part because this makes a huge difference in CAT scores.

Hello,
To get admissions into the NITs, you need to score:
NIT Delhi opening rank-3539 to 9078
NIT Surathkal-1489 to 3040
NIT Warangal-9231 to 19743

Go for NIT Trichy. It is ranked 11 in NIRF rankings and top among NITs. It has really good placements for CSE. Last year it had 100% placements. So don't think twice.