Jabalpur Engineering College

It will depend on which branch you want and what is your category. If you have some reservation like SC/ST then you can easily get JEC.

No your rank should be under 1 lac or you should have some reservation quota.

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Yes, you are eligible to get admission in JEC but you will have to crack CEE.

Yes, you can do mechanical Engineering but I prefer you to go with aeronautical because there are lots of scope in it.

Fees for BE in Jabalpur Engineering College is less.
Fee in every branch is Rs.11.3k per semester.
If you want to live in boy's hostel or girl's hostel, fee is Rs.1300/ year without mess.
And, semester examination fees is Rs.1300/per semester.

Closing rank for OBC category in JEE Mains of this college for (given rank may vary 2-3k):
Mechanical Engineering-70k
CSE- 72k
Civil Engineering - 75k
Electrical Engineering -75k
EC - 90k
Information technology- 95k
Industrial and production- 110k
All the closing rank is up to last counseling.

Yes, you can apply in Jabalpur Engineering College for BE (lateral entry) with CGPA of 7.99. Because, my friend is also pursuing BE in Jabalpur Engineering College with 6.5 CGPA. Hence, you will get JEC, Jabalpur easily.