MCA

You can either go for normal entry (3 years) MCA or for lateral entry (2 years) MCA. Both are good if you had done BCA. Lateral entry MCA from any good institution saves your time.

If you had Mathematics as one of your subjects in B.Sc, then you are eligible to pursue MCA.

Hi Anjalee,
As the admission criteria are different in every college, you will have to inquire in each college that you are interested in. There are some colleges that would allow admission to commerce students as maths is the only mandatory subject that one should have in 10+2 and graduation in order to qualify for MCA.

You should not go with the thought that whether the institute is private or government. You should, in fact, focus on whether the institute is good or not. I would recommend B.Tech for you because as per industry norms B.Tech is equivalent to MCA and for MCA you would invest 2 more extra years plus the fee.

You should choose to study further in order to enhance your marketability. Higher study options in computer application after BCA are mentioned below. There are many options for the BCA graduates in higher studies. They are:
Master of Computer Application (MCA)
Masters in Computer Management
Masters Degree in Information Management (MIM)
Masters in Business Administration (MBA)
Master of Science in Information Technology M.Sc IT)
G-CAT Master
Postgraduate Diploma in Computer Applications
Post Graduate Programme in Corporate Studies (PGPCS)
Postgraduate Diploma in Management (PGDM)
Programme in Information Security Management.

For MCA, 60% is the eligibility criteria but you can take admission directly in any of these colleges like SRM, VIT. After the counseling process, few seats are left. So, to fill those seats they take some of the students for that you have to book your slot earlier.

Yes, you are eligible for that.