Bangalore

You may get TD in Bangalore. the previous year's cut-off was approx. 614-699.
Good luck.

You will not get top government colleges with this rank in Karnataka, so it's better to stay in VIT Bhopal as VIT is the top private institute in India, education and placement wise, all the campuses are same.

Yes, you can check the reviews for better output.

IISC, Bangalore does not offer B.Tech degree. Please use college predictor tool for the better results:
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwiquoLk5MLiAhWy7HMBHeiwC6oQFjAAegQIBBAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H

Below I am mentioning colleges providing the courses as of your requirements. You can check the college based on ranking, fee structure, placements and other criteria. This will help you choose the right colleges based on student reviews.
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/mba/colleges/mba-in-business-analytics-colleges-bangalore&ved=2ahUKEwjio93S2sLiAhXB73MBHeBHAZMQFjABegQIBBAB&usg=AOvVaw34oNw2gxlVK5gNKGWrmndR&cshid=1559200580724

JEE Mains college predictor is an online tool which predicts the probable colleges based on the difficulty level of the examination, average marks scored in JEE Mains and seats available in IITs, NITs, GFTIs, and other SFTIs. Know your college admission chances based on your JEE Mains rank, home state, caste, gender, etc., here:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Going for CAT would be a better option. You may get admission in IIMs if you score a good percentile in CAT.
Good luck.

Hello,
Kindly use below Shiksha link which is help you. https://www.shiksha.com/b-tech/resources/kcet-college-predictor
Thanks.