To solve this problem, we need to understand the process of extracting silver from its ore using cyanide leaching.$\newline$The extraction of silver involves the following steps:$\newline$1. Leaching:$\newline$• Silver ore is treated with a dilute solution of sodium cyanide (NaCN) or potassium cyanide (KCN).$\newline$• The cyanide ion $(CN^-)$ forms a complex with silver, resulting in the dissolution of silver as a soluble complex.$\newline$• The reaction is as follows:$\newline$Ag$+ 2CN^- + \frac{1}{2}O_2 + H_2O \rightarrow$Ag(CN)$_2^- + 2OH^- \newline$2. Recovery of Silver:$\newline$• The silver is recovered from the solution by displacement with a more reactive metal, typically zinc (Zn).$\newline$• Zinc is added to the solution, and it displaces silver from the complex, precipitating it as metallic silver.$\newline$• The reaction is:$\newline$2Ag(CN)$_2^- + Zn \rightarrow$2Ag$+$Zn(CN)$_4^{2-} \newline$Therefore, the correct method for recovering silver from the cyanide solution is by displacement with zinc.$\newline$This corresponds to Option 3.