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https://www.shiksha.com/b-tech/resources/wbjee-college-predictor
Go through the college predictor link I am sharing here to know about the college you can get. You can predict college here according to your rank. Good luck.

No chance in any NLUs even in vacancy.

All details about cutoff are present on the website www.pict.edu
65 marks are a bit low, you might get admission for branch ENTC.

https://www.shiksha.com/university/singhania-university-jhunjhunu-23718/courses/med-bc
plz, go to the link I am sharing here to know about the fees structure of university. You can get information about the institute from here.
good luck

Yes, you are eligible for getting admission. All the best.

Yes, you can appear in both, 1st and 2nd NDA examination again and again, until you are overage.

You should try for Coimbatore, don't think about B.Tech, as your rank is very poor, if you have any other option other than CET, go for it. Give any college after Chennai or Visakhapatnam for your preference, You might have a chance if you have any reservation criteria else give it a try. You have very great chance to GET into this institute with this rank. Attend the counselling and choose your options appropriately. Try Shiksha college predictor for better analysis.

Kindly go through the following link:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwjPs-iFqpTcAhWMRY8KHariB-kQFjAAegQIBBAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.

M.Phil. through distance mode is not available anywhere in India now. I don't mean IGNOU, but universities like CDLU or KUK do not offer these anymore.

You will not be able to GET IMU Kolkata with this rank, nor IMU Mumbai. Even IMU Visakhapatnam won't take you with this rank. IMU Kolkata sees a cut off rank 500-600 in general category. I have no idea if there is a girls' quota kind of thing here. However, you get a 50% waiver in the fee being a girl cadet.

No, but if you want to study in any other Techno India Group college, then you can visit the main branch and have a talk with them.

For MBA, you must appear and qualify CAT. As for now, complete your B.Sc. and simultaneously prepare for CAT.
Good luck.

You should take the college in first counselling because in first counselling, remaining seats are filled so you may not get a deserving seat. So, I suggest you to take the first counselling college. Good luck.

For the list of colleges, check out the predictor below:
https://www.shiksha.com/mhcet-college-predictor

https://www.shiksha.com/b-tech/resources/mhcet-college-predictor
Please go to the college predictor link I am sharing here to know about the college you can get.
Good luck.

Hello Sonali,
From the data that I have, it indicates that Mithibai College does not offer MA in Sociology.
Please see the attached link:
http://www.mithibai.ac.in/Arts/M_473