One die is drawn below in two different ways. In picture (ii), which number is on the bottom face?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 4
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.
2 is seen next to 5 and 8 in (i); 3 and 7 in (ii). So 2 touches four faces, and the only face left, 4, is opposite 2
So when 2 is on top in picture (ii), 4 is at the bottom.
Why the other options are incorrect
Option (2) 5 — Incorrect. 5 is seen next to 2 in picture (i), so it touches 2 and cannot be opposite it.
Option (3) 3 — Incorrect. 3 is seen next to 2 in picture (ii), so it touches 2 and cannot be opposite it.
Option (4) 8 — Incorrect. 8 is seen next to 2 in picture (i), so it touches 2 and cannot be opposite it.