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Yes, Alliance University is a good university for B.Tech in computer science and engineering. there you will be getting a lot of opportunities, exposure and knowledge. The one thing that you have to maintain is your score.

Use this tool to list all colleges you can get. https://www.shiksha.com/college-predictor.

To get admission in a good university in the US, you should have a good score in TOEFL and your Bachelor's degree without any backlogs or supplementary exams.

Please use the college predictor tool by Shiksha. This will help you to predict the college according to your rank/percentile:
https://www.shiksha.com/college-predictor

Yes, according to me, you should go for IIIT and not for IIT as CS has more scope than mechanical and the college doesn't matter in comparison to branch, what will be the benefit if you get a job in mechanical and not get promotion due to its very less scope.

Yes, possibly you will be able to get B.Sc (Hons) in CS.

Yes, you can take admission. You have to clear the entrance test then the university will allot you a college.

Best universities for MS in Computer Science in Canada:
University of British Columbia (UBC): The UBC Department of Computer Science, established in May 1968, is one of the top computer science departments in North America.
University of Waterloo
University of Toronto
McGill University
McMaster University
Queen's University.

Not more than one year gap is tolerated anywhere in the industry. If you have 1 year gap then it is fine but 2 or more years are not valid and will lead to rejection.

Hi,
Kindly visit this link for more info:
https://www.shiksha.com/college-predictor