One die is drawn below in two different ways. In picture (ii), which number is on the bottom face?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 1
Both pictures show the face 2. Read the three faces of each picture in the same turning order (top, front, right, and round again), starting from 2; the faces that then stand in the same place in both lists are opposite each other.
Picture (i): top 1, front 6, right 2; from 2 the order is 2, 1, 6
Picture (ii): top 3, front 4, right 2; from 2 the order is 2, 3, 4
Second places: 1 and 3 are opposite
Third places: 6 and 4 are opposite
So when 3 is on top in picture (ii), 1 is at the bottom.
Why the other options are incorrect
Option (1) 6 — Incorrect. 6 is the face opposite 4, so it cannot also be opposite 3.
Option (2) 4 — Incorrect. 4 is seen next to 3 in picture (ii), so it touches 3 and cannot be opposite it.
Option (3) 2 — Incorrect. 2 is seen next to 3 in picture (ii), so it touches 3 and cannot be opposite it.