multiple entry visa to hong kong for a lebanese studying in China to do the SAT Test

Hi, it's possible for your daughter to make the application from Beijing office of HK government for the test.
First, prepare the relevant documents: travel itinerary, copy of passport, the application form, a passport-style photo, financial support proof, flight tickets and hotel booking record.
Next, submit the application to Beijing office of HK government to apply for HK tourist visa.

is it possible to apply from Lebanon for a multiple entry tourist visa to hong kong, because it is hard to go every time to Beijing and she lives and Changshu. I can bring you our friends' address and invitation where she will be sitting during her stay in Hong Kong.

Or she can submit the application to Hk immigration department directly on your behalf.