SAT

You should visit the website of isro if any such project is sponsored for students you can apply for it. You should take advice from your supervisor or head of the department. Many projects are only offered to the faculties and than after you can work on that project. Institute of engeers India and other may societies also offer project to the m.tech student but through the guide or supervisor.

The SAT exam is for admission into UG colleges abroad for technical courses like engineering.
The GMAT exam is for Management courses abroad, PG in Management.

Hi Kritika,
SAT is not mandatory. But if your grades are average it is recommended you take SAT as universities in Canada are very competitive.

Dear Asutosh, for the syllabus please check collegeboard.org, SAT pattern and syllabus is new from 2016 therefore it is wise you refer to the official website. Study materials are also available, in addition to the official guides you can consider books from Kaplan, Manhattan and Ivy Global.
Best Wishes

Hi Mukesh,
SAT requires no minimum percentage as such. You require good grades for admissions.
Hope it helped.

For quant section.

Dear Allen, SAT 2 also known as SAT subject tests are tests in particular subjects such as math and science based on your academic interest and to demonstrate your strength in a particular area.SAT subject tests are optional however Ivy Leagues in USA require these tests in addition to the general SAT. I will advice you to refer to collegeboard.org for details and updates. You will also find the new syllabus here.
Best Wishes

SAT is accepted by BITS pilani and may be in future few more private universities will start with it. If you are keen to join USA for further studies, you may take SAT in grade 11 beginning as it will be the best time to start process of applying abroad.

No problem, after getting you score you have to apply in different colleges around the world of your interest, so you have sufficient time to get your passport before the declaration of result

SAT exam contains primarily Maths and English. English consists of Reading, writing, grammar and other parts. Writing an essay is optional, it depends upon the school you are going to apply to.
There are also SAT subject tests available that contains physics, chem etc. Subject tests have to be taken if your school specifically asks for them.