CBSE 10th

Hi Sadab!
As you have completed your 10th exam. No you are eligible to take admission in intermediate courses. Choose a subject which makes you comfortable.
Best of luck.

Yes, you can pursue degree from some private institute as government may not allow admission. But, you can try to take some private institute.
Good luck.

If you are interested in gaming then after class 10th you should go and choose physics chemistry maths as your compulsory subject in class 12th and score more than 60% in three of them and score more than 75% in your class 12th and then after scoring well in class 12th choose B.Tech graphics and gaming. Please never take a drop after class 12 try to score the required percentage at just one go.

If you are interested in becoming a software engineer, then you should go with the subjects like physics chemistry and maths with as your compulsory subject and you should also score more than 60% in three of them.

Yes, you are eligible but please do take it seriously, because eligibility criteria is is below 35 years of age.

Change your school or choose that school which takes up students with no eligibility criteria for pursuing class 11th and self study at home for class 11th and 12th and score more than 75% it in 10 + 2 you then you can easily go for architecture after 12th with math as a compulsory subject because if you are unable to pass in maths then and you have to change your stream.

There is no syllabus for class 10th and 12th in Banasthali it is a university for women and you have to take admissions in it after completing your 10 + 2.

Considering your profile, good Acads and background diversity, if you score good in CAT and in GD&PI, you can easily get admission.

Give your best efforts to crack CAT, then you will surely land up in the desired college that you want. Coming to your profile, yes it will be considered and since your profile is strong it will have a good weightage in the selection process. Good luck.

First know her interested course. There are many options. If she feel uncomfortable in IIT coaching, give her space and let her choose a good career. Other than IITs, many state board entrance exams are there and university entrance exams also there. Help her in choosing.