Privacy-preserving tests are studied for social-willing:Alice and Bob can test whether they are suitable to do something jointly in an ideal area without either party revealing any other information about each other's location. Nowadays, most mobile intelligent devices come pre-equipped with location (GPS) sensing capabilities, allowing developers to create a wide variety of location-aware applications and services. While location awareness provides novel features and functionality, it opens the door to many privacy nightmares. In many occasions, however, users are not willing to share their actual location or the range of their activities, but to determine whether they are able to do something in some area (a place is convenient for each user), which is practically one bit of information. Private social-willing protocols allow this functionality without any further information leakage. Firstly, a homomorphic encryption scheme is developed, assisted by cloud server and based on the intractable problem of decisional composite residuosity. Then, a novel protocol is proposed based on the developed homomorphic encryption scheme, and security in ideal/real model is proved.