The New York City civil service exam schedule is open for October, and some jobs pay more than others. The application period for exams opened Oct. 1 Exam applications currently open include: assistant mechanical engineer; custodian; emergency medical specialist - EMT; emergency medical specialist trainee; occupational therapist (DOE); physical therapist (DOE); police officer; program officer (Department for the Aging); and public health nurse. The starting salary for each career varies, according to the city.