Final answer:
Memory B-lymphocytes are the type of lymphocytes that respond to multiple antigens by remembering pathogens and enabling a faster and more robust immune response upon subsequent exposures.
Step-by-step explanation:
The type of lymphocyte that responds to multiple antigens is a Memory B-lymphocyte (Option A). Memory B-cells are derived from B-cells and are part of the adaptive immune system. After an initial exposure to a specific antigen, they provide a faster and more robust response upon subsequent exposures to the same antigen. This type of lymphocyte 'remembers' the pathogen, enabling the immune system to mount a more efficient and rapid response should the same antigen be encountered again in the future.