To solve the question of which minerals from the list are not used in the production of photovoltaic cells for solar panels, we need to understand the typical materials involved in the manufacturing of photovoltaic (PV) cells and their components.

1. Identify the minerals commonly used in photovoltaic cells:
   • Neodymium: This is a rare earth mineral used primarily in making powerful permanent magnets, which are utilized in wind turbines but not typically in photovoltaic cells.
   • Tellurium: This is indeed used in the production of newer types of solar panels such as cadmium telluride (CdTe) solar panels, which rely on this element.
   • Dysprosium: Like Neodymium, Dysprosium is also a rare earth element used in making magnets that are essential for wind turbines, not commonly used in photovoltaics.
   • Gallium: Gallium is known for its use in high-efficiency solar cell technologies such as Gallium Arsenide (GaAs) cells.
2. Determine which minerals are not used in PV cells: From the above analysis, Neodymium (I) and Dysprosium (III) are not typical materials used in the production of photovoltaic cells but are rather important in wind technology.
3. Conclusion: The correct answer is Option "I and III" because Neodymium and Dysprosium are not used in the fabrication of solar panels.