CAT

Kindly predict your college through this college predictor. The rank predicted might not be accurate, but it certainly gives an idea to the aspirant.
https://www.shiksha.com/college-predictor

Although, it is possible, but it is suggested that you should prepare it diligently.

NPTEL courses are good as supplementary material. You should study with NPTEL.

I think, it is better to pursue CAT mainly, because if you do CAT you will get admission to the best IIM in the country like IIM-Ahmedabad, Bangalore and Calcutta. If you are really interested in management, then these are really good institutes and you should aim for these institutes.

You can find it online in google. You just have to make a search and you will get them online. Various websites give it, so you will find it easily.

Hello
for qualifying CAT exam and getting admission in a good college you have to score 90-90+ percentile. Your 10th, 12th and graduation %also matters.

As mentioned in the CAT registration form, candidate who are in the final year of their graduation are eligible to apply. So, I think there won't be any problem to get admission.

You have to score around 97 percentile in cat exam to stand a chance in getting admission in fms. So preapare well and give your best.

A candidate is eligible to appear in CAT2019, if he/she holds a Bachelor's Degree with at least 50% marks or equivalent CGPA. But, to get admission in FMS you have to score 99 percentile or more.