Six faces of a cube are numbered from 1 to 6, each face carrying one different number. Further, 1. The face 2 is opposite to the face 6. 2. The face 1 is opposite to the face 5. 3. The face 3 is between the face 1 and the face 5. 4. The face 4 is adjacent to the face 2. Which one of the following is correct?

Here's a step-by-step analysis: 1. Identify the pairs of opposite faces: * From statement 1: Face 2 is opposite to face 6. (Pair: 2-6) * From statement 2: Face 1 is opposite to face 5. (Pair: 1-5) * Since there are 6 faces, the remaining two faces must also be opposite: Face 3 is opposite to face 4. (Pair: 3-4) 2. Analyze the given positional statements: * Statement 3: "The face 3 is between the face 1 and the face 5." On a cube, if two faces (1 and 5) are opposite, any other face (like 3) that is not opposite to either of them will be adjacent to both. So, this means face 3 is adjacent to face 1 and face 3 is adjacent to face 5. This is consistent with our opposite pairs (3 is not opposite 1 or 5). * Statement 4: "The face 4 is adjacent to the face 2." This is a crucial piece of information. 3. Evaluate Option A: "The face 2 is adjacent to the face 3." * From statement 4, we know that 4 is adjacent to 2. * We know that 3 is opposite to 4 (from step 1). * We know that 6 is opposite to 2 (from step 1). * On a cube, if two faces are adjacent (e.g., 4 and 2), then their opposite faces must also be adjacent. So, if 4 is adjacent to 2, then 3 (opposite 4) must be adjacent to 6 (opposite 2). * Now we have: 3 is adjacent to 6. * We also know that 2 is opposite to 6. * If face A (3) is adjacent to face B (6), and face C (2) is opposite to face B (6), then face A (3) must be adjacent to face C (2). (Imagine 6 is the front face, 2 is the back. If 3 is adjacent to 6, 3 could be top, bottom, left, or right. Any of these positions is also adjacent to the back face 2). * Therefore, face 2 is adjacent to face 3. This makes option A correct. 4. Evaluate other options to confirm: * Option B: "The face 6 is between the face 2 and the face 4." This implies face 6 is adjacent to face 2. However, we know from statement 1 that face 6 is opposite to face 2. Opposite faces cannot be adjacent. So, B is incorrect. * Option C: "The face 1 is between the face 5 and the face 6." This implies face 1 is adjacent to face 5. However, we know from statement 2 that face 1 is opposite to face 5. Opposite faces cannot be adjacent. So, C is incorrect. Since options B and C are definitively incorrect, and our deduction confirms A, option A is the correct answer. The final answer is A.