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Two different positions of the same dice are shown. Select the number that will be on the face opposite to the one having 1.

Two views of one dice. First view: 3 on top, 2 on the left face, 5 on the right face. Second view: 1 on top, 2 on the left face, 3 on the right face.

  • A.3
  • B.2
  • C.5
  • D.4

Answer: C

Faces 2 and 3 appear in both views, so they are the clue. In the first view the 2 is on the left, the 3 is on top and the 5 is on the right; in the second view the 2 is still on the left, the 3 has moved to the right and the 1 is on top. So the cube has been turned about the axis through the face 2: the face that was on top (3) has gone to the right, the face that was on the right (5) has gone to the bottom, and the face that was at the back has come to the top, which is the 1. The face at the back was the one opposite to 5, so 1 is opposite to 5. The answer is 5, option (C).

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