Explanation:

To determine the number opposite 3, we use the rule for dice: If two positions of a die have one common face, then the numbers on the adjacent faces (in the same rotational direction, e.g., clockwise) from the common face are opposite to each other. \nLet's compare the first two dice positions: **Dice 1 (Visible faces: 3, 6, 1)** **Dice 2 (Visible faces: 6, 4, 5)** 1. **Identify the common face:** The common face between Dice 1 and Dice 2 is 6. 2. **Trace clockwise from the common face (6):** * From Dice 1: $6 \to 1 \to 3$ * From Dice 2: $6 \to 5 \to 4$ 3. **Establish opposite pairs:** By comparing the sequences, we find: * 1 is opposite 5. * 3 is opposite 4. * The remaining numbers are 6 and 2, so 6 is opposite 2. \nThus, the number on the face opposite 3 is 4. \nLet's analyze the other options based on this consistent set of opposite pairs: $(1,5)$, $(3,4)$, $(6,2)$. \nA. **Option A (6):** From Dice 1, 6 is adjacent to 3 and 1. From our derived pairs, 6 is opposite 2. Therefore, 6 cannot be opposite 3. \nC. **Option C (5):** From Dice 2, 5 is adjacent to 6 and 4. From our derived pairs, 5 is opposite 1. Therefore, 5 cannot be opposite 3. \nD. **Option D (2):** From Dice 3, 2 is adjacent to 5 and 1. From our derived pairs, 2 is opposite 6. Therefore, 2 cannot be opposite 3. \nWhile comparing Dice 1 and Dice 3 might lead to an inconsistency (a common issue in some poorly designed questions), the most direct and clear application of the rule using Dice 1 and Dice 2 consistently yields that 3 is opposite 4, which is available in the options.