IIT

Yes, sure you are allowed. You need to appear in the GATE exam in 2020 under the mechanical engineering branch and then do good there to get a call from IITs.

The admission in MNIT/NITs are based on ranks secured in JEE Main exam, While for IITs you have to needs secure a very good rank in JEE Advanced conducted among the JEE Main qualifiers. For admission in NITs the ranks below the 20000 is very good enough for getting admission in NITs, While for IITs these should be below the 10000 in JEE Advanced if belongs to general category.

Hi
Visit this link for more information:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.
Thank you.

Hi
Visit this link for more information:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.
Thank you.

Hi
Visit this link for more information:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.
Thank you.

Hi,
Please use the college predictor tool by Shiksha It will help you to predict the college according to your rank or percentile. https://www.shiksha.com/college-predictor
Good Luck.

If you have done BCA in your graduation then you can take GATE exam otherwise, you are not eligible for this.

It is based on entrance test, so if you clear the test then you can get admission in IIT Mumbai.
Good luck.

Viva Bharati University is a university with national importance, so definitely it's class is quite high. If you see the statistics department here, it is of excellent level contrary to similar type of universities. Good luck.