Question

A cube is to be coloured in such a way as to avoid the same colour on adjacent surfaces. What is the minimum number of colours you will require?

• A. Three
• B. Four
• C. Six
• D. Nine

Hint:

For colouring problems, consider opposite faces and alternate colouring for adjacent surfaces to minimize the number of colours used.

Answer 1

The Correct Option is A

- A cube has 6 faces, and adjacent faces must not have the same colour. - To achieve this, we need at least 3 colours. - We can colour opposite faces with the same colour and alternate between the remaining colours for the other faces. Thus, the minimum number of colours required is 3.