Question

Which \emph{four colours are adjacent to Green?}

• A. black, blue, brown, red
• B. black, blue, brown, white
• C. black, blue, red, white
• D. black, brown, red, white

Hint:

Start by pinning any opposite pair (top/bottom). Then form the 4-face "side ring'' and order it using adjacency clues; each side face is automatically adjacent to both top and bottom.

Answer 1

The Correct Option is D

Step 1: Fix opposite pair and orientation.
From (VI) Red is the bottom. From (II) Red is opposite Black \(\Rightarrow\) \(\boxed{\text{Top}=\text{Black}}\). Step 2: Build the side-ring.
A face "between Red and Black'' must touch both top and bottom \(\Rightarrow\) any \emph{side} face does that. By (IV) and (V), Blue is adjacent to \emph{both} White and Brown. Therefore the four side faces are exactly \(\{ \text{White},\ \text{Blue},\ \text{Brown},\ \text{Green} \}\) with Blue between White and Brown, so Blue's opposite side is Green. Step 3: List neighbours of Green.
A side face touches: (i) top, (ii) bottom, and (iii) its two neighbouring side faces. Hence Green is adjacent to: \(\boxed{\text{Black (top)}},\ \boxed{\text{Red (bottom)}},\) and the two side neighbours \(\boxed{\text{White, Brown}}\). Step 4: Conclude.
The four colours adjacent to Green are \(\boxed{\text{black, brown, red, white}}\).