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