One die is drawn below in three different ways. Find the letter opposite U.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Q
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.
P is seen next to Q and R in (ii); T and U in (iii). So P touches four faces, and the only face left, S, is opposite P
Q is seen next to S and T in (i); P and R in (ii). So Q touches four faces, and the only face left, U, is opposite Q
So the face opposite U is Q.
Why the other options are incorrect
Option (2) T — Incorrect. T is seen next to U in picture (iii), so it touches U and cannot be opposite it.
Option (3) P — Incorrect. P is seen next to U in picture (iii), so it touches U and cannot be opposite it.
Option (4) S — Incorrect. S is the face opposite P, so it cannot also be opposite U.