B.Sc

Yes, you can. As per the eligibility criteria, you should clear your 10+2 or equivalent examination in Science stream with at least 50% marks in mathematics subject. Admissions are based on the entrance exam and merit. To check the colleges in India that offer B.Sc mathematics, please see here-
https://www.shiksha.com/science/colleges/b-sc-mathematics-colleges-india

It is a bit tough, because there is no direct relation with B.Sc computer science and maritime skills. If the age and fitness factors are in compliance, you may be lucky. To check the detailed criteria, please see here-
http://dgshipping.gov.in/WriteReadData/CMS/Documents/201606131056371994392Eligibility_criteria_trg.pdf

B.Sc has better scope than B.Com. This programme has become one of the highly studied degree courses in Indian institutions. You can pursue M.Sc after B.Sc and further get into research areas and can even look for any other job oriented professional course.

There are plenty of fields you can choose with B.Sc like agriculture, animation, aquaculture, aviation, biochemistry, bioinformatics, computer science, dietetics, etc. If I talk about the scope, agriculture, computer science and dietetics can be better comparatively.

I can tell about only two colleges in Bhubaneswar that offer B.Sc through distance mode:
Institute of Technical and Professional Studies, Bhubaneswar
Institute of Engineering and Management Studies, Bhubaneswar
Refer to this link- https://www.shiksha.com/science/colleges/distance-correspondence-b-sc-colleges-bhubaneswar

An engineering degree always has an upper hand. After completion, you will have a broad domain to work. You can go for specialisation M.Tech/ MS/ integrated PhD courses or can even opt for MBA.

Hi,
Yes, you can get admission in the month of July. For more information, you can see the below mentioned link:
https://www.shiksha.com/college/amp/indo-asian-academy-group-of-institutions-kalyan-nagar-bangalore-470

This course begins after the completion of intermediate. The duration of B.Sc fashion designing is 3 years.

If you specify the college where you are seeing admission, then I will give you the exact details of eligibility. For now, the eligibility criteria of most of the colleges is to qualify +2 with a minimum of 45% or more.

Only women can apply for this course. The army is already dominated with male candidates.