One die is drawn below in two different ways. Find the number opposite 2.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 6
Both pictures show the face 3. Read the three faces of each picture in the same turning order (top, front, right, and round again), starting from 3; the faces that then stand in the same place in both lists are opposite each other.
Picture (i): top 2, front 5, right 3; from 3 the order is 3, 2, 5
Picture (ii): top 3, front 6, right 1; from 3 the order is 3, 6, 1
Second places: 2 and 6 are opposite
Third places: 5 and 1 are opposite
So the face opposite 2 is 6.
Why the other options are incorrect
Option (1) 5 — Incorrect. 5 is seen next to 2 in picture (i), so it touches 2 and cannot be opposite it.
Option (3) 1 — Incorrect. 1 is the face opposite 5, so it cannot also be opposite 2.
Option (4) 3 — Incorrect. 3 is seen next to 2 in picture (i), so it touches 2 and cannot be opposite it.