Correct Option (c)
To determine the colour opposite to O, we systematically identify its adjacent faces and then deduce the opposite face.
- From the given information:
- Statement (1): Colours Y, O and B are on adjacent faces.
- Statement (4): Colours O, V and B are on adjacent faces.
These statements indicate that O is adjacent to Y, B, and V.
- A cube face has four adjacent faces and one opposite face. Since Y, B, and V are adjacent to O, they cannot be the face opposite to O.
- The six distinct colours are V, I, B, G, Y, and O. Excluding O itself and its known adjacent faces (Y, B, V), the remaining possible colours for the face opposite to O are I and G.
- Next, we examine the adjacencies of B:
- Statement (1): Colours Y, O and B are on adjacent faces.
- Statement (3): Colours B, G and Y are on adjacent faces.
- Statement (4): Colours O, V and B are on adjacent faces.
These statements indicate that B is adjacent to Y, O, G, and V.
- Since B is adjacent to Y, O, G, and V, its opposite face cannot be any of these. The only remaining colour among the six is I. Therefore, the face opposite to B is I.
- Given that I is opposite to B, it cannot simultaneously be opposite to O. Consequently, the face opposite to O must be G.
Incorrect Options:
- B: Based on statements (1) and (4), B is an adjacent face to O, not an opposite face.
- V: Based on statement (4), V is an adjacent face to O, not an opposite face.
- I: As deduced, I is the face opposite to B, not O.