Look at the reactivity series from most reactive to least reactive: K, Na, Ca, Mg, Al, Zn, Fe, (H), Cu, Ag, Au. Hydrogen sits roughly in the middle of this list.
Any metal written to the left of hydrogen can kick hydrogen ions out of a dilute acid and form hydrogen gas, because it loses electrons more easily than hydrogen does.
Zn, Fe and Ca all appear to the left of hydrogen in this series, so all three react with dilute HCl and release H2 gas readily.
Ag appears well to the right of hydrogen, meaning it holds on to its electrons more strongly than hydrogen holds its electron, so Ag simply cannot force H+ ions out of solution.
This is exactly why silver jewellery does not fizz or dissolve when it accidentally touches a dilute acid, while an iron nail would corrode with gas bubbles forming.
So the metal that fails to liberate hydrogen from dilute HCl is silver, option C.