Engineering Entrance Exam

Very difficult, but there may be a chance due to domicile benefits. Your rank is 140k, which is not much attractive for a good college. You can get an average college at this score.

You have to pass 10+2 or PUC examination in 2017 with Physics, Chemistry & Mathematics as the main subjects from a recognised board. If you have studied Biology, Electronics, Computer Science, Statistics, etc. in addition to PCM, then also you are eligible to apply.
You have to secure a first class

You should drop for a year if you are confident to crack it. Other wise go to the best private college which provide good education and placements too. There are so many options of the colleges for you. Think about it
Hope this helps you.

Please refer to the official website of NIT, Warangal.
They have provided the opening and closing rank of last year's admission.
You can compare your rank and predict the colleges you might get.
There is no constant cut-off. Every year it changes but it is assumed that it will be similar as the previo

No you are not eligible for getting seat in sastra as you dont have all the required parameters
You should have 985 above marks in ipe

Hello Vishwash,
Both the choices you are considering are pretty well. So, you can approach in any direction, however I will suggest you to go for NITs only because government colleges do have bit of edge than a private colleges no matter how good it is. Best wishes.

Yes, you may have chance of getting seat in AU in some groups. Please participate in the counselling conducted by AU from June 5th onwards.

JEE Mains 2018 College Predictor
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BITSAT Question & Sample Papers 2018
Download previous year question papers and sample papers of BITSAT 2018 for your exam practice at the link provided below. You can download all last years' BITSAT exam question papers and sample papers free of cost. You can also download preparation guides for BIT

Although they have minority system for Marwadi. Kindly confirm once with the authorities which will save your time. Best regards.