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