From the four positions of a dice given below, find the color which is…

Solution: Determine which faces are adjacent to yellow from the given views; the face that is never adjacent to yellow must be opposite it.

• View 1: Yellow is on the top face; the visible adjacent faces are Orange and Blue.

• View 2: Orange is shown adjacent to Violet and Blue, confirming Violet is next to Orange (and hence not opposite Yellow).

• View 3: Blue appears adjacent to Yellow and Red, so Red is also adjacent to Yellow.

• View 4: Red is shown adjacent to Rose and Yellow, showing Rose is also adjacent to Yellow.

From these observations, yellow is adjacent to Orange, Blue, Red and Rose.

Therefore, the only colour not seen adjacent to yellow is Violet; that face must be opposite yellow.

Answer: Violet