Metal that does not deposit silver (Ag)
You do need the electromotive series or reactivity series to answer that question. If you will not have access to it during such exams, you'll need to memorize the order of some common elements, and to understand the arrangement of the Periodic Table.

The most reactive metals are at the bottom left of the table, low in Group I. The "noble" or coinage metals are clustered near the center, with reactivity generally decreasing within a column. E.G., Au is less reactive than Ag, which is less reactive than Cu.

Later, you may learn about the electron configuration of atoms and how that determines reactivity, but at this point, knowing the reactivity series would get you though the test.