Question

A cube has six sides each of a different colour. The red side is opposite black. The green side is between red and black. The blue side is adjacent to white and the brown side is adjacent to blue. The red side is face down. The side opposite brown is

• A. Red
• B. Black
• C. White
• D. Green

Hint:

Fix the top and bottom faces first using the opposite-pair clue, then place the side faces using the adjacency clues.

Answer 1

The Correct Option is C

A faster way to solve cube-opposite-face problems is by elimination: every face has exactly one opposite face among the other five, and it can never be a face it is stated to be "adjacent" to.

1. Fixed pair: Red is opposite black (given directly).
2. Green's restriction: Green is between red and black, meaning green is adjacent to both, so green's opposite cannot be red or black. Green's opposite must be one of white, blue or brown.
3. Blue's restrictions: Blue is adjacent to white (given) and adjacent to brown (since brown is adjacent to blue), so blue's opposite cannot be white or brown. Among the remaining candidates (white, green, brown), blue's opposite must therefore be green.
4. What's left for brown: With red-black and blue-green already paired off, only white and brown remain unpaired, so they must be opposite each other.

Therefore the side opposite brown is white, confirming option C. \[ \boxed{\text{White}} \]