One die is drawn below in three different ways. Find the number of dots on the face opposite the face with two dots.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Five
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 4-dot face is seen next to the 1-dot face and the 5-dot face in (i); the 2-dot face and the 6-dot face in (ii). So the 4-dot face touches four faces, and the only face left, the 3-dot face, is opposite the 4-dot face
The 5-dot face is seen next to the 1-dot face and the 4-dot face in (i); the 3-dot face and the 6-dot face in (iii). So the 5-dot face touches four faces, and the only face left, the 2-dot face, is opposite the 5-dot face
So the face opposite the 2-dot face is the 5-dot face.
Why the other options are incorrect
Option (1) Six — Incorrect. The 6-dot face is seen next to the 2-dot face in picture (ii), so it touches the 2-dot face and cannot be opposite it.
Option (2) Three — Incorrect. The 3-dot face is the face opposite the 4-dot face, so it cannot also be opposite the 2-dot face.
Option (3) Four — Incorrect. The 4-dot face is seen next to the 2-dot face in picture (ii), so it touches the 2-dot face and cannot be opposite it.