CBSE

CBSE syllabus has very good reputation all over India. In case of graduation also, your plus two marks will be considered. If you can score better in HSE, then it is good to shift.

Yes you can apply for sports quota seat in the same campus. You can confirm the seats without any issue.

You may go for class 12th from CBSE Patrachar Vidyalaya, because if you do 11th again, it becomes a one year gap and this may cause a problem in your further studies:
https://www.cbsepatrachardelhi.com/
Patrachar Vidyalaya is for those students who have failed in 11th or 12th due to some personal reasons. Please follow up the above link and fill up the inquiry form and collect all reliable information from them
all the best.

Candidate must have passed 10+2 from recognized board
admission is based on merit system.
Non-MH general: 92%
MH Gen: 88 to 90 %
MH OBC (non-creamy) : 85% or little less.
MH SC/ST/NT: Can get as low as 50%.
Cutoff depends on each year 12th performance.
All the best.

Students who have passed Class 12 or equivalent examination from any recognised board are eligible to apply.
Admission-Based on Cut Offs
It lies between 55 to 70% for SC/ST/OBC candidates
so you can apply for the same
All the best.

According to the SAT eligibility 2018, there is no maximum or minimum age limit set by the conducting authority. Although the college board does not prescribe any particular SAT 2018 eligibility criteria. Students aged between 17-18 years of age mostly appear for the SAT 2018 test to get admission into colleges for undergraduate studies. Ideally, high school students opt for the SAT examination. Age Limit- SAT eligibility 2018 do not state any age limitation to appear for the SAT test. Hope this helps.

You can follow up the below given link:
http://xaviers.edu/main/index.php/admissions-and-courses?showall=&start=2
All the best.

You can apply. Also, you can check out the reliable information from the below-given link:
https://www.shiksha.com/science/course/b-sc-hons-in-mathematics-shivaji-college-raja-garden-delhi-53610
Number of seats for general category for the course is 97, Last year, the cutoff for the same is 92% in best four aggregate, so you may apply for the course but it depends on this year (2018) cutoff.
all the best
all the best

Yes, you are eligible for other details please refer to the below given link
https://christuniversity.in/apply-online#apply_now
All the best.

It seems difficult because last year, the cutoff is 96% for general category, It varies from year to year & also depending on whether you want to take admission in grant or non-grant. However, getting above 80% means that you have a good chance of getting admission.
Visit www.fergusson.edu you will get all information and this is a merit list of fyba ( English )
all the best