A cube has its 6 faces having different colours (red, blue, green, yellow, white and orange). It has been given that green is opposite to red, blue is between green and red, yellow is adjacent to orange. What colours are on the adjacent faces of face having yellow colours:
green, orange, blue, red
(Correct Answer)red, blue, green, white
green, blue, white, orange
green, orange, red, white
green, orange, blue, red
In a standard 6-faced cube, any given face has exactly:
1 opposite face
4 adjacent (neighboring) faces
Therefore, to find all the adjacent faces of a specific color, we simply need to find the one single face that is opposite to it. The remaining four faces will automatically be its adjacent faces.
Condition 1: "green is opposite to red"
From this, we establish our first definite opposite pair:
Green↔Red
Condition 2: "blue is between green and red"
Since green and red are opposite to each other, any face that lies "between" them is simply adjacent to both. This confirms that Blue is adjacent to both Green and Red.
Condition 3: Finding the remaining opposite pairs.
We have 6 colors in total: Red, Blue, Green, Yellow, White, Orange.
Since Green↔Red is fixed, we are left with four colors: Blue, Yellow, White, Orange.
Let's look at the remaining relationships. The problem states that Yellow is adjacent to Orange.
Now, since Blue is between Green and Red, its opposite face cannot be Green or Red. By process of elimination for the remaining faces, the standard layout dictates that the remaining two pairs of opposite sides must be split between (Blue,White) and (Yellow,Orange).
Since we are explicitly told that Yellow is adjacent to Orange, they cannot be opposite to each other. Therefore:
Yellow↔White
Blue↔Orange
Now that we have successfully mapped all three opposite pairs:
Green↔Red
Blue↔Orange
Yellow↔White
We can easily find the adjacent faces for the Yellow face. Since White is the only face opposite to Yellow, all the other four colors must be adjacent to it.
Adjacent to Yellow={Green, Red, Blue, Orange}
Matching this with the given choices, option (a) contains exactly these four colors: green, orange, blue, red.
The correct option is (a).
In a standard 6-faced cube, any given face has exactly:
1 opposite face
4 adjacent (neighboring) faces
Therefore, to find all the adjacent faces of a specific color, we simply need to find the one single face that is opposite to it. The remaining four faces will automatically be its adjacent faces.
Condition 1: "green is opposite to red"
From this, we establish our first definite opposite pair:
Green↔Red
Condition 2: "blue is between green and red"
Since green and red are opposite to each other, any face that lies "between" them is simply adjacent to both. This confirms that Blue is adjacent to both Green and Red.
Condition 3: Finding the remaining opposite pairs.
We have 6 colors in total: Red, Blue, Green, Yellow, White, Orange.
Since Green↔Red is fixed, we are left with four colors: Blue, Yellow, White, Orange.
Let's look at the remaining relationships. The problem states that Yellow is adjacent to Orange.
Now, since Blue is between Green and Red, its opposite face cannot be Green or Red. By process of elimination for the remaining faces, the standard layout dictates that the remaining two pairs of opposite sides must be split between (Blue,White) and (Yellow,Orange).
Since we are explicitly told that Yellow is adjacent to Orange, they cannot be opposite to each other. Therefore:
Yellow↔White
Blue↔Orange
Now that we have successfully mapped all three opposite pairs:
Green↔Red
Blue↔Orange
Yellow↔White
We can easily find the adjacent faces for the Yellow face. Since White is the only face opposite to Yellow, all the other four colors must be adjacent to it.
Adjacent to Yellow={Green, Red, Blue, Orange}
Matching this with the given choices, option (a) contains exactly these four colors: green, orange, blue, red.
The correct option is (a).
