One can assume that the wall is composed of several different materials in layers. Likely, the outer part consists of plaster. The core could be wood (i.e., planks), brick, aerated concrete, or concrete. Other types of masonry are also possible. Plaster (cement/lime + sand) is soft, concrete is rock-hard. Homogeneous concrete walls found in more modern houses are uncommon in houses from the 1930s. The choice of the mounting method depends on what the wall is made of. Consult someone with more experience.