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

Step 1: Fix the top and bottom faces.
Red is opposite black, and red is face down, so red = bottom and black = top.

Step 2: Place green using the "between red and black" clue.
Green being "between red and black" means green touches both the top (black) and the bottom (red) face, which is only possible for one of the four side faces (a side face touches both the top and bottom faces; a face directly opposite another never touches it). So green occupies one of the side positions, say the right side, leaving front, left and back to be filled with white, blue and brown.

Step 3: Place white, blue and brown using the adjacency clues.
Blue is adjacent to white, and brown is adjacent to blue. With green fixed on the right, the remaining three side faces (front, left, back) must be arranged so blue sits between white and brown, touching both: front = white, left = blue, back = brown. This works because the left face (blue) touches both the front face (white) and the back face (brown).

So the arrangement is: Top = Black, Bottom = Red, Right = Green, Front = White, Left = Blue, Back = Brown.

Step 4: Read off the opposite pairs.
Opposite faces never touch each other: Top-Bottom (Black-Red), Front-Back (White-Brown), Left-Right (Blue-Green).

Final Answer:
The side opposite brown is white, so option C is correct. Option A (red) is opposite black, not brown; option B (black) is opposite red; option D (green) is opposite blue. \[ \boxed{\text{White}} \]