Step 1: Analyze Monomer Units and Linkages:
I. Sucrose: $\alpha$-D-Glucose + $\beta$-D-Fructose. (Linkage: $C1-C2$).
II. Lactose: $\beta$-D-Galactose + $\beta$-D-Glucose. (Linkage: $\beta-1,4$). Contains $\beta$-D-glucose.
III. Cellulose: Polymer of $\beta$-D-Glucose. (Linkage: $\beta-1,4$). Purely $\beta$-D-glucose units.
IV. Amylose (Starch): Polymer of $\alpha$-D-Glucose. (Linkage: $\alpha-1,4$).
Step 2: Selection:
Lactose and Cellulose contain $\beta$-D-Glucose units.
This corresponds to II and III.