Three desk shelves-I, II, and III-are being stocked with seven types of food. Bread, Biscuits, Pizzas, Shakes, Cake, Sweet, and Sandwich are to be placed in the shelves so that the goods belonging to any given type are all together in one shelf and no shelf contains more than three types of food. The arrangement of the types of food is subject to the following further constraints: Bread and Cake must be in a shelf together. Neither Biscuits nor Shakes can be in the same shelf as Pizzas. Neither Biscuits nor Shakes can be in the same shelf as Sweet. The Sweet must be in either shelf I or shelf II. Each type of goods must be in some shelf or other. Which of the following is an acceptable arrangement for Shelf I | Shelf II | Shelf III respectively?

Explanation: Foods: Bread (B), Biscuits (Bi), Pizzas (P), Shakes (Sh), Cake (C), Sweet (Sw), Sandwich (Sa). Max 3 foods per shelf. Rules: (1) B & C together. (2) Bi, Sh \(\neq\) P. (3) Bi, Sh \(\neq\) Sw. (4) Sw is in I or II. (5) All foods used. Check Option 4: Shelf I: {Pizzas, Sweet, Sandwich}, Shelf II: {Biscuits, Shakes}, Shelf III: {Bread, Cake}. (1) B & C together: Yes, in Shelf III. (2) Max 3 per shelf: I (3), II (2), III (2). Yes. (3) Bi, Sh \(\neq\) P: Bi and Sh are in II. P is in I. Yes. (4) Bi, Sh \(\neq\) Sw: Bi and Sh are in II. Sw is in I. Yes. (5) Sw is in I or II: Yes, in I. **Wait, Option 4 says Sw is in Shelf I, not II.** Let's re-read the options. Option 4: Shelf I: {Pizzas, Sweet, Sandwich}, Shelf II: {Biscuits, Shakes}, Shelf III: {Bread, Cake}. (1) B & C together: Yes (III). (2) Max 3 per shelf: Yes. (3) Bi, Sh \(\neq\) P: Yes (Bi/Sh in II, P in I). (4) Bi, Sh \(\neq\) Sw: Yes (Bi/Sh in II, Sw in I). (5) Sw in I or II: Yes (Sw in I). **The arrangement is acceptable.** (The explanation skips to D being correct after eliminating A, B, C, E. Manual check confirms D is correct.)