One die is drawn below in two different ways. In picture (ii), how many dots are on the bottom face?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Three
A face of a die touches four other faces and is opposite the one face it never touches. Faces seen together in one picture are neighbours, so they can never be opposite each other.
The 6-dot face is seen next to the 1-dot face and the 5-dot face in (i); the 2-dot face and the 4-dot face in (ii). So the 6-dot face touches four faces, and the only face left, the 3-dot face, is opposite the 6-dot face
So when the 6-dot face is on top in picture (ii), the 3-dot face is at the bottom.
Why the other options are incorrect
Option (1) Four — Incorrect. The 4-dot face is seen next to the 6-dot face in picture (ii), so it touches the 6-dot face and cannot be opposite it.
Option (2) One — Incorrect. The 1-dot face is seen next to the 6-dot face in picture (i), so it touches the 6-dot face and cannot be opposite it.
Option (4) Five — Incorrect. The 5-dot face is seen next to the 6-dot face in picture (i), so it touches the 6-dot face and cannot be opposite it.