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