To solve this problem, we need to identify the roles of the 'X' and 'Y' genes in the pBR322 cloning vector.$\newline$The pBR322 vector is a commonly used plasmid in molecular cloning. It contains several important features:$\newline \bullet$Antibiotic resistance genes: These provide resistance to antibiotics, allowing for the selection of bacteria that have taken up the plasmid.$\newline \bullet$Replication origin: This is necessary for the replication of the plasmid within the host cell.$\newline$In the diagram, 'X' and 'Y' are labeled on the plasmid. Let's determine their roles:$\newline \bullet$Gene 'X': This gene is responsible for controlling the copy number of the linked DNA.$\newline \bullet$Gene 'Y': This gene is involved in the replication of the plasmid.$\newline$Based on this analysis, the correct option is:$\newline$Option 4: The gene 'X' is responsible for controlling the copy number of the linked DNA and 'Y' for protein involved in the replication of Plasmid.$\newline$Therefore, the correct answer is Option 4.