Step 1: Understanding the Question:
The question asks to identify the carbohydrates that qualify specifically as reducing disaccharides.
Step 2: Key Formula or Approach:
A sugar is reducing if it possesses a free hemiacetal or hemiketal anomeric carbon atom capable of opening into an open-chain aldehyde/ketone to reduce Fehling's or Benedict's reagents.
To be a *reducing disaccharide*, it must be composed of two monosaccharide units where at least one anomeric carbon remains free (unbound in the glycosidic linkage).
Step 3: Detailed Explation:
• A. Galactose: A reducing sugar, but it is a monosaccharide, not a disaccharide. Thus, A is excluded by the definition in the question.
• B. Maltose: Disaccharide composed of two $\text{D}$-glucose units joined by an $\alpha(1 \to 4)$ glycosidic bond. The second glucose unit retains a free hemiacetal anomeric carbon ($C1$), making maltose a reducing disaccharide. Thus, B is correct.
• C. Lactose: Disaccharide composed of $\text{D}$-galactose and $\text{D}$-glucose joined by a $\beta(1 \to 4)$ glycosidic bond. The glucose residue retains a free anomeric carbon ($C1$), making lactose a reducing disaccharide. Thus, C is correct.
• D. Trehalose: Disaccharide composed of two glucose units linked via their anomeric carbons $\alpha(1 \leftrightarrow 1)\alpha$. Because both anomeric carbons are involved in the glycosidic bond, trehalose is a non-reducing disaccharide. Thus, D is incorrect.
Step 4: Fil Answer:
Maltose and Lactose are reducing disaccharides, corresponding to Option (B).