Following are the test centers currently available in India for a SAT test. You can know which of the following test centers will operate on your test date through a collegeboard website.

Ahmedabad International School, Ahmedabad
IAES-USEFI Satellite Center, Ahmedabed
Springdale Senior Secondary School, Armritsar
Bangalore Bishop Cotton Boys, Bangalore
Assembly God Church School, Calcutta
Cochin Sacred Heart College, Cochin
Pathways World School, Harayana
G. D. Goenka World School, Haryana
Akal Academy, Himachal Pradesh
St. Anns Degree College, Hyderabad
Indore Swati Jain College, Indore
Kodaikanal International School, Kodaikanal
USEFI, Kolkata
Mahindra United World College, Maharashtra
Bombay Teachers Training College, Mumbai
S. L. & S. S. Girl's High School, Mumbai
Amer Embassy School, New Delhi
USEFI, New Delhi
St. Michael's Senior Secondary School, New Delhi
University of Pune, Pune

For test center code and more information on these test centers, I suggest you to visit collegeboard.com.

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