Cubes and Dice UPSC Questions

Cubes and Dice MCQ Questions

7.

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

A.

9

B.

10

C.

11

D.

12

ANSWER :

B. 10
Each face of a cube can be painted in black or white colours. In how many different ways can the cube be painted?

8.

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.

B

B.

V

C.

G

D.

I

ANSWER :

C. G
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?

9.

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.

32

B.

24

C.

16

D.

8

ANSWER :

B. 24
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:

10.

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?

A.

3 is opposite to 5

B.

2 is opposite to 6

C.

1 is adjacent to 3

D.

3 is adjacent to 5

ANSWER :

D. 3 is adjacent to 5
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?

11.

Four positions of the same dice are shown. Select the number that will be on the face opposite to the one showing ‘3’.

A.

4

B.

5

C.

6

D.

3

ANSWER :

B. 5

12.

Which number is in opposite of 2 ?

A.

1

B.

6

C.

3

D.

4

ANSWER :

C. 3