Each of the six different faces of a cube has been coated with a different colour i.e., V , I, B, G, Y and O. Following information is given:

1. Colours Y , O and B are on adjacent faces.

2. Colours I, G and Y are on adjacent faces.

3. Colours B, G and Y are on adjacent faces.

4. Colours O, V and B are on adjacent faces.

Which is the colour of the face opposite to the face coloured with O ?

The correct option is G.

To find the face opposite to the face coloured with O, let us analyze the adjacency relationships of the faces of the cube. A cube has 6 faces. Any given face is adjacent to exactly 4 other faces and opposite to exactly 1 face.

Let us determine the faces adjacent to Y:
1. From statement 1, Y is adjacent to O and B.
2. From statement 2, Y is adjacent to I and G.
3. From statement 3, Y is adjacent to B and G.
Combining these statements, the faces adjacent to Y are O, B, I, and G. Since Y can only have 4 adjacent faces, the remaining color, which is V, must be opposite to Y.

Next, let us determine the faces adjacent to B:
1. From statement 1, B is adjacent to Y and O.
2. From statement 3, B is adjacent to G and Y.
3. From statement 4, B is adjacent to O and V.
Combining these statements, the faces adjacent to B are Y, O, G, and V. Since B can only have 4 adjacent faces, the remaining color, which is I, must be opposite to B.

Since we have established the following pairs of opposite faces:
- Y is opposite to V
- B is opposite to I
The remaining two faces of the cube must be opposite to each other. Therefore, the face coloured with O is opposite to the face coloured with G.