SAT

Yes, there are some chance for admission according to your score. So, you can apply for admission. Good luck.

There are 4 colleges which take admission on the basis of SAT score.
1. Ahmedabad University
2. Ashoka University
3. O. P Jindal Global University
4. S. P Jain School of Global Management
Some other universities that currently accept (or will accept in the future) SAT scores are:
1. FLAME University
2. BML Munjal University
3. Azim Premji University
4. Bennett University
5. Manav Rachna University
6. Manipal Academy of Higher Education
7. Shiv Nadar University
,8. G D Goenka University
9. MS Ramaiah University of Applied Sciences

Hi,
Ivy Leagues are quite competitive as you might know. They not only prefer students with good academics but also students who have a well-developed portfolio. In addition to excelling in academics, you must have solid extracurriculars, state or national level projects, sports, writing, music whatever is of your interest so that universities know you have a solid profile and won't go wasted. You can target a score above 1450.

Here is the complete detail about the admission procedure to get into NUS:
https://studyabroad.shiksha.com/singapore/universities/national-university-of-singapore
For applying to NUS, you have to take SAT and 3 SAT subject test. If you are a CBSE student then it is not compulsory to take SAT for you. TOEFL or IELTS is recommended.

Applied and Pure Sciences
Architecture and Construction
Business and Management
Computer Science and IT
Creative Arts and Design
Education and Training
Engineering
Health and Medicine

No, you need not appear for SAT exam. An Architecture aspirant should take up NATA exam or JEE Mains paper 2 exams to get admission into Architecture course. Council of Architecture guidelines states: Only candidates who have the following credentials shall be eligible for admission to B.Arch. Course. I. Qualified through the recognised aptitude test in Architecture NATA or equivalent)
ii. Have gone through any of the following curriculum with marks as prescribed below: (a) Secured 50% marks in Physics, Chemistry and Mathematics and also 50% marks in aggregate at
10+2 level examination.

When you are interested studying abroad SAT is a compulsory criteria for it. JEE Mains and SSC are only to study anywhere only in India not abroad. Mostly, SAT is offered every month from October to January.