Each face of a cube can be painted in black or white colours. In how many different ways can the cube be painted?
UPSC - 2019
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?
UPSC - 2015
A cube has all its faces painted with different colours. It is cut into smaller cubes of equal sizes such that the side of the small cube is one-fourth the big cube. The number of small cubes with only one of the sides painted is:
UPSC - 2016
A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?
3 is opposite to 5
2 is opposite to 6
1 is adjacent to 3
3 is adjacent to 5
Four positions of the same dice are shown. Select the number that will be on the face opposite to the one showing ‘3’.
Which number is in opposite of 2 ?
