B.Sc

As per my point of view, don't choose B.Tech. Better you should opt M.Sc. instead of B.Tech. For B.Tech, you have to invest 4 years but you choose M.Sc. or MBA with 2 years. You'll get your Masters and then you'll get good job opportunities and also, if you have potential, you can join research in fellow departments.

It's all up to you whether you want to pursue higher education or want job. If you want pursue higher education you can opt for M.Sc and then afterwards, PhD. But if you don't want to pursue higher studies, you can apply for jobs in private sector and as well as government sector and also, you can prepare for civil services for better career opportunities.

To check your eligibility to take admission in Vivekananda Global University. You can visit our website here: https://www.vgu.ac.in/

Yes, you are fully eligible to give entrance exam CAT. But, for the entrance exam you have to prepare well. Check out the latest syllabus of CAT.

Yes, you can complete the course. IGNOU course is an open course, and can be done from home. So, I think you can join IGNOU for pursuing B.Sc.

No, you can't do both the courses simultaneously. It is not legal.

It is all up to you. If you want pursue higher education, then you can opt for M.Sc and then Ph.D. And, if you don't want any further studies, then you can opt for government jobs and private too.

The stream you wish to select should depend a lot on your interest areas, personality traits & long term career objective. To be successful in your career, the chances brighten up if you pursue a course that is aligned to your interest areas.

There are many job opportunities available after B.Sc hons. in data science do check the list below:
Job Titles:
Statisticians
Business Analyst
Mathematician
Professor
Risk Analyst
Data Analyst
Content Analyst
Statistic Trainer
Data Scientist
Consultant
Biostatistician
Econometrician
Job Areas:
Census
Ecological
Medical
Election
Crime
Education
Film
Cricket
Tourism
Recruiters:
Deloitte Consulting
TCS Innovations Labs
Blue Ocean Marketing
BNP Paribas India
Neilson Company
Accenture
HP
GE Capital
HDFC
Cognizant
American Express