B.Sc

No age limit is prescribed by the institution, but in some courses they have set an age limit of 22-23.

I would suggest you go for the B.Sc. Just because most colleges offer B.Sc.

No, La Sphere is not on the list of NCHMCT.

Hi,
You can get all the information in the prospectus of Delhi University for under graduation courses. All the information regarding admission, fee and eligibility criteria would be there.

There is no syllabus for any entrance exam. I will say download the syllabus of B.Sc and last 5 question papers and prepare well.
All the best for your preparation.

Refer the link:
https://www.shiksha.com/college/post-graduate-government-college-Chandigarh-49430/admission.

As per your said score, there are slightest chances that you will admission there but you may apply for the counselling.
Follow the link for more details:
https://www.shiksha.com/university/du-Delhi-university/du-jat-exam.

Refer the syllabus:
Semester I
Calculus Analytical Solid Geometry
Semester II
Probability & Statistics Differential Equations
Semester III
Real Analysis Mechanics
Semester IV
Abstract Algebra Linear Algebra
Semester V
Discrete Mathematics Complex Analysis
Semester VI
Linear Programming & Its Applications Numer

Yes, you are eligible.