Cells are classified by whether the chemical reaction that produces electricity can be reversed by an external current, and this reversibility is what decides if a cell can be recharged.

A secondary cell uses reversible electrode reactions, so passing current through it in the reverse direction drives the reaction backwards and restores the original active materials.

This means a secondary cell, such as a lead-acid or nickel-based type, can be discharged and recharged many times over its life.

A primary cell relies on reactions that are chemically one-way; once the active materials are consumed it cannot be restored by reverse current.

A dry cell is a common form of primary cell and shares this non-rechargeable limitation.

A fuel cell generates electricity continuously from a supplied fuel and oxidant rather than by storing and reversing a reaction, so it is not recharged in the reverse-current sense either.

Hence, the answer is Secondary cell.