Statistics

Yes, for pursuing B.Sc. Statistics, you need to have maths in 12th standard.

Lady Shri Ram college under Delhi University holds a higher ranking than St. Xavier's College, and Sophia college is on the last among these three.

I think, you must put some more colleges in your option because Fergusson would be a tough college with this score.

PCM with any subject would help
But physics, chemistry, maths with computer science or economics must be choose for best results.

Yes, you can definitely get Admission in Andhra University, Vishakapatnam with the rank of 49 in AUCET 2018 for MSc in Statistics. Your rank is too good and on the basis of that, you will get admission. Best of luck for your future and if any query, feel free to ask.

Your choice depends on the subjects you are interested in and the profession you want to choose. However, Statistics is a very good choice. It has good scope in Management Industry and you can also apply for good government jobs.

You can't pursue B.Sc, if you are a commerce student as it takes students from Science stream only. But, if you really want to do B.Sc in CS or any other subject, you have to do class 12th again with Science streams from private state boards or NIOS.

It is one of the best option to choose from. Like statistics is the most growing field these days. Every working company requires statisticians, and this combination will provide you with many job opportunities, just after three years. Or, you can also go in research sector depending upon your interest. Other courses you can do are:
M.Sc statistics or maths
MBA
Actuarial sciences.

Yes, you are eligible for M.Sc Statistics, but you need to clear an entrance which has 60% statistics and 40% Maths. Prepare for it.

It totally depends on your interest, but if you are looking for job opportunities after graduation, go for B.Sc Statistics.