Panjab University

Panjab Universiry is in Chandigarh and Punjab University is in Lahore. Different names due to partition of India-Pakistan.

It depends on your board percentage (PSEB board has more percentage) and may be you don't get a stream of your choice.

PU offers you B.Sc honors in one specialized subject like physics, chemistry and maths. Admission is properly based on PU CET UG test rank. B.Sc non medical is offered by PU affiliated colleges present in Chandigarh.

Punjab University has two departments which offer you MBA. For both, you have a graduate degree. First is UBS (University Business School) is the best department and top placements. Admission in UBS is totally based on CAT rank. Another is UIAMS which is not so good as UBS in both placements and infrastructure. Admission in UIAMS is based on its own conduct test whose online forms are out on PU site.

Basically, the proper admission in B.Sc Hons mathematics is done on the basis of PU-CET UG test. So, you fill the online form for this test. And then on basis of your rank you will get admission.

If you have any category of SC PWD or other reservation seat then you can think but for general not possible. You can check last year cutoffs on Jac Chandigarh 2015 site.

To get admission in BBA colleges,there are certain criteria to satisfy,if you fulfill that criteria then you can get admission in any BBA colleges, not only in Punjab.
Eligibility Criteria:
Candidate should have completed 12th standard with atleast has one subject has maths and marks should be 55%.

No. PU doesn't offer automobile and for other branches, it offers only on JEE Mains rank.

Yes, of course, you can get there without admission test on the basis of 12th. It provides B.Sc- biotech. But, the difference lie in quality. There are very few colleges in India have world class equipment for doing biotechnology.