The correct option is D Transferase
Transferases: Enzymes catalysing a transfer of a group (other than hydrogen) between a pair of substrate. In the given reaction, phosphate group is being transferred from ATP to glucose to form glucose-6-phosphate.
Lyases: Enzymes that catalyse removal of groups from substrates by mechanisms other than hydrolysis leaving double bonds.
Isomerases: Includes all enzymes catalysing inter-conversion of optical, geometric or positional isomers.
Ligases: Enzymes catalysing the linking together of two compounds, e.g., enzymes which catalyse joining of C-O, C-S, C-N, P-O, etc. bonds.
In the given enzymatic reaction, glucose is phosphorylated at the 6 carbon by ATP to yield glucose-6-phosphate. The phosphate group is transferred from ATP to glucose. So, the enzyme belongs to the class transferase.