Engineering

You can get any branch, if you have money to pay. VIT university is one of the top universities in India and is no different from the rest of the private universities when it comes to the admission. Basically, VIT university separates the students according to their ranks VITEEE ranks) for the admission. To my knowledge there are 4 categories as follows
People with less than 20k rank. Named merit candidates. Ample of chances to get your deserved branch with no donation. Tentative fee is 10lakhs ( for 4 years including hostel)
And yes here Mechanical, Electronics and communications and Computer Science are the top branches. And you need to get a rank less than 10k to opt any of these.

The placements at MGIT are not at par with respect to other the finest colleges of state. Most of the circuit branch students are remain unplaced. This is a misconception outside that most of them get placed but the actual scenario is the guy who secured a placement attracts more and recruits which is increasing the placement count. I know a girl who has bagged almost 4 best offers at my time. Earlier TCS used to be the major recruit this year they withdrew from their agreement on accreditation. This made the institution more lag in placements. Overall college is good, but you can't make best out of it. Don't look for count in website. Go interact with the final year students they can explain you the actual situation.

As told by other people here the cut off ranks for TCE are almost correct.
But to be honest TCE is not really a great option for B.Tech and here is why that is true is
As you compare the investment and the return you get after 4 years, they are nowhere near. I mean why would somebody give 16 lakhs to study in SRM knowing that the avg. package is of 3 to 3.5 Lakhs and that too for CSE branch, which is by the way their best branch and all of this statistical data is for Main Campus. I was excited too after I got my result for SRMJEE, it was 1602 rank but after going through all the evidences, I concluded that it won't be a wise decision going in SRM. And for north Indians to bear that type of climate, it will be the worst experience to be honest.

Andhra University College of Engineering, Visakhapatnam
GVPCE Visakhapatnam is Gayatri Vidya Parishad College of Engineering
Aditya Engineering College, Surampalem
SVUCE Tirupati is Sri Venkateswara University College of Engineering
I have no idea about Andhra Pradesh colleges what is the eligibility criteria, is there any scholarship, etc. But I can suggest you Chandigarh University where you will get admission very easily. If you want to get scholarship then you can apply for CUCET Chandigarh University Common Entrance Test & eligibility criteria for taking admission in CU is you must have score minimum 60% marks in your 12th class from any board.