<p>You live in the school dorms for the academic year, from end of August to Spring of the following year. You are permitted to stay in your dorm through the Thanksgiving, Christmas/New Year, and spring breaks (though there might be no dining halls open). However, you would have to move out by around mid May to end of August (summer break). Most students go home. If not, then you would have to rent something for the summer or hope that you have made a good enough friend to stay with for the summer break.</p>
<p>There should be some locations in India for taking the SATs. You would have to study for the SAT Is or SAT IIs (either category will do for NYU). Look at my link above on Standardized Tests. SAT IIs would be better for you if you are confident in a science (Biology, Chemistry, Physics), math and a humanities subject, like English Literature, World History, etc. You should get the review books and practice taking the tests as much as possible. Preparation is key and some benefit from taking preparation courses for the SATs.</p>