One die is drawn below in two different ways. In picture (ii), how ma…

The correct answer is Option (4) → Six

Both pictures show the 5-dot face. Read the three faces of each picture in the same turning order (top, front, right, and round again), starting from the 5-dot face; the faces that then stand in the same place in both lists are opposite each other.

• Picture (i): top the 2-dot face, front the 6-dot face, right the 5-dot face; from the 5-dot face the order is the 5-dot face, the 2-dot face, the 6-dot face

• Picture (ii): top the 3-dot face, front the 5-dot face, right the 4-dot face; from the 5-dot face the order is the 5-dot face, the 4-dot face, the 3-dot face

• Second places: the 2-dot face and the 4-dot face are opposite

• Third places: the 6-dot face and the 3-dot face are opposite

So when the 3-dot face is on top in picture (ii), the 6-dot face is at the bottom.

Why the other options are incorrect

• Option (1) Two — Incorrect. The 2-dot face is the face opposite the 4-dot face, so it cannot also be opposite the 3-dot face.

• Option (2) Five — Incorrect. The 5-dot face is seen next to the 3-dot face in picture (ii), so it touches the 3-dot face and cannot be opposite it.

• Option (3) Four — Incorrect. The 4-dot face is seen next to the 3-dot face in picture (ii), so it touches the 3-dot face and cannot be opposite it.