B.Tech Mechanical Engineering

Hi,
After B.Tech in ME you've a lot of options.
You can pursue your Masters degree.
You can prepare for GATE exam and get a prestigious college for Masters with a good placement.
In addition, there are many organizations like Visakhapatnam, SAIL, ISRO and BARC which conduct their own exam.

After B.Tech, you can do M.Tech in whatever field interests you. Therefore, it is up to you.

Kindly visit this link:
https://www.shiksha.com/b-tech/resources/mhcet-college-predictor

In most of the reputed colleges, B.Tech lateral admissions are done through the entrance test. Hence, you have to apply for respective college's lateral entrance test first. Following are a few colleges offering B.Tech lateral admissions:
1. DTU, Delhi
2. Thapar Institute of Engineering and Technology, Patiala
3. PTU, Jalandhar
4. College of Engineering Pune,
5. Anna University, Chennai.

Yes, you can get admission in this college directly. you dont need to clear Jee Mains. There is no selection criteria of admission in this college.

I can't assure you 100%, but If you wrote JEE exam and score good percentage you can.
With your quota, you can apply directly in college you can't attend JoSSA, unless you write JEE (main & advanced).

I am attaching a link where you will get all the related information to get admission in University of Hyderabad:
https://www.shiksha.com/university/university-of-hyderabad-uoh-23069/admission

For College of Engineering, Anna University, Chennai the opening marks and closing marks were 194.25 and 200 respectively. For PSG College of Engineering, it is 194.75 to 199.5, Anna University Tiruchirappalli it was 138 to 195.5. You have scope for other branches.

Hello
Yes!
If you are interested in pursuing Agribusiness Management at IIM, you can apply for that, after completing B.Tech! IIMs Agribusiness Management is two years programme.

Yes, you can do. The eligibility criteria of M.Sc Mathematics (Hons) from LPU are as under. Eligibility Criteria (Qualifying Exam) :- Pass with 50% aggregate marks in Bachelor's degree (any discipline) (with Mathematics as a subject) or B.Tech or BE or B.Sc (Engineering) or equivalent, subject to qualifying LPU-NEST.