# Dice and Cubes Practice Questions

### Dice and Cube Sample Paper:

Instruction for next 10 questions: A solid cube of each side 8 cms, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cms.

Ques. How many cubes have no face painted?
(a) 0
(b) 4
(c) 8
(d) 12

Ans. (c)

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Ques. How many cubes have only one face painted?
(a) 8
(b) 16
(c) 24
(d) 28

Ans. (c)

Ques. How many cubes have only two faces painted?
(a) 8
(b) 16
(c) 20
(d) 24

Ans. (d)

Ques. How many cubes have only three faces painted?
(a) 0
(b) 4
(c) 6
(d) 8

Ans. (d)

Ques. How many cubes have three faces painted with different colours?
(a) 0
(b) 4
(c) 8
(d) 12

Ans. (c)

Ques. How many cubes have two faces painted red and black and all other faces unpainted?
(a) 4
(b) 8
(c) 16
(d) 32

Ans. (b)

Ques. How many cubes have only one face painted red and all other faces unpainted?
(a) 4
(b) 8
(c) 12
(d) 16

Ans. (b)

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Ques. How many cubes have two faces painted black?
(a) 2
(b) 4
(c) 8
(d) None

Ans. (d)

Ques. How many cubes have one face painted blue and one face painted red? (the other faces may be painted or unpainted)
(a) 16
(b) 12
(c) 8
(d) 0

Ans. (a)

Ques. How many cubes are there in all?
(a) 64
(b) 56
(c) 40
(d) 32

Ans. (a)

Direction (next 6 questions): Read the following information and answer questions given below it:
(i) There is a wooden block which is cubical in shape and having edge length of 6 cm.
(ii) The opposite surfaces are painted from outside by red, yellow and orange respectively.
(iii) Now, the block is cut in such a way that cubes of 1cm x 1cm x 1cm are created.

Ques. How many cubes will have any two colors?
(a) 48
(b) 36
(c) 44
(d) 40

Ans. (a)

Ques. How many cubes will have only an orange color ?
(a) 16
(b) 32
(c) 96
(d) 48

Ans. (b)

Ques. How many cubes will have at least one colour ?
(a) 216
(b) 152
(c) 64
(d) 96

Ans. (b)

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Ques. How many cubes will have only two colours yellow and orange ?
(a) 64
(b) 125
(c) 8
(d) None of these

Ans. (d)

Ques. How many cube will have at least three sides painted?
(a) 8
(b) 16
(c) 6
(d) 12

Ans. (a)

Ques. If instead the block into cubes of 1cm x 1cm x 1cm, if the block is cut in such a way that cubes of 2cm x 2cm x 2cm are created, how many cubes will be created?
(a) 9
(b) 64
(c) 36
(d) 27

Ans. (d)

Instruction for next 3 questions: The six faces of a cube are coloured black, brown, green, red, white and blue.

1. Red is opposite to black
2. Green is between red and black
3. Blue is adjascent to white
4. Brown is adjascent to blue
5. Red is at the bottom

Ques. Which colour is opposite to brown?
(a) White
(b) Red
(c) Green
(d) Blue

Ans. (a)

Ques. The four adjascent colours are?
(a) black, blue, brown, red
(b) black, blue, brown, white
(c) Blue, red, white, brown
(d) black, brown, red, white

Ans. (d)

Ques. Which of the following can be deduced from (1) and (5) ?
(a) Black is on the top
(b) Blue is on the top
(c) Brown is on the top
(d) Brown is opposite to black

Ans. (a)

Ques. Two positions of a dice are show below:

When three (3) dots are at the top, how many will be at the bottom?
(a) 1
(b) 2
(c) 4
(d) 5

Ans. (d)

Ques. A painter has painted a cubical box with six different colours for different faces of the cube. Red face is between yellow and brown faces. Green face is adjacent to the silver face. Pink face is adjacent to the green face. Brown face is at the bottom. Silver and pink faces are opposite to each other. The face opposite to red will be:
(a) Yellow
(b) Green
(c) Pink
(d) Silver

Ans. (b)

Ques. Six sides of a block are coloured Green, Blue, Red, Yellow, Orange and White in the following manner.

When Blue is on the top, which colour will be at the bottom?

(a) Orange
(b) Red
(c) White
(d) Yellow

Ans. (d)

Ques. The sides of a cube show the colours of a rainbow. Two positions of the cube are shown below. Which of the colours of rainbow is left out?

(a) Indigo
(b) Green
(c) Violet
(d) Yellow

Ans. (c)

Ques. A cube, on whose sides letters have been written, is shown below in different positions as can be seen from different directions. Find the missing letter?

(a) S
(b) D
(c) Y
(d) W

Ans. (c)

Ques. Two positions of a parallepiped are shown below. When the number three will be on the top side of the cube, which number will be at the bottom?

(a) 1
(b) 4
(c) 5
(d) 6

Ans. (a)

Ques. Two positions of a dice are shown below. When there are two circles at the bottom, the number of circles at the top will be

(a) 5
(b) 2
(c) 3
(d) 6

Ans. (a)

Ques. Two positions of a dice are shown below. When 4 is at the bottom, which number will be on the top?

(a) 1
(b) 2
(c) 5
(d) 6

Ans. (a)

Ques. In a dice a, b, c and d, are written on the adjacent face, in a clockwise order and e and f at the top and bottom. When c is at top, what will be at the bottom?

(a) a
(b) e
(c) b
(d) d

Ans. (a)

Ques. Two positions of a block are given below:

When ten is at the bottom, what number will be at the top?

(a) 8
(b) 12
(c) 6
(d) 4

Ans. (b)

Ques. Two positions of a block are shown below:

When six is at the bottom, what number will be at the top?

(a) 1
(b) 4
(c) 5
(d) 2

Ans. (c)

Ques. Two positions of a dice with 1 to 6 dots on its sides are shown below. If the dice is resting on the side with three dots, what will be the number of dots on the side at the top?

(a) 1 or 5
(b) 2
(c) 3
(d) 5

Ans. (a)

Ques. Two positions of a block are given below. When I is at the top, which number will be at the bottom?

(a) 3
(b) 6
(c) 2
(d) 1

Ans. (b)

Ques. Two positions of a block are shown below. When 2 is at the bottom, which number will be at the top?

(a) 1
(b) 2
(c) 3
(d) 4

Ans. (d)

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How to Solve (next 2 questions): The six faces of a cube are painted in a manner that no adjacent faces have the same colour. The three colours used in painting are red, blue and green. The cube is then cut into 36 smaller cubes in such a manner that 32 cubes are of one size and the rest of a bigger size and each of the bigger cubes has no red side.

Ques. How many cubes in all have a red side?
(a) 32
(b) 16
(c) 12
(d) 8

Ans. (a)

Ques. How many cubes in all have only one side colored?
(a) 32
(b) 8
(c) 20
(d) 16

Ans. (b)

Directions (next 4 questions): Read the following information and answer questions given below it.
(i) There is a rectangular wooden block of length 4cm, height 3cm and breadth 3cm.
(ii) The two opposite surfaces of 4cm x 3cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4cm x 3cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3cm x 3cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1cm x 1cm x 1cm are created.

Ques. How many cubes will have only one colour?
(a) 10
(b) 12
(c) 14
(d) 18

Ans. (a)

Ques. How many cubes will have only one colour?
(a) 1
(b) 2
(c) 4
(d) 8

Ans. (b)

Ques. How many cubes will have all the three colours : red, yellow and green ?
(a) 32
(b) 24
(c) 16
(d) None of these

Ans. (d)

Ques. How many cubes will have all the three colours?
(a) 5
(b) 10
(c) 8
(d) 16

Ans. (c)

Directions (next 4 questions): The following questions are based on the information given below:
I. All the faces of cubes are painted with red colour.
II. The cubes is cut into 64 equal small cubes.

Ques. How many small cubes have only one face coloured ?
(a) 4
(b) 8
(c) 16
(d) 24

Ans. (d)

Ques. How many small cubes have no faces coloured ?
(a) 24
(b) 8
(c) 16
(d) 0

Ans. (b)

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Ques. How many small cubes are there whose three faces are coloured?
(a) 4
(b) 8
(c) 16
(d) 24

Ans. (b)

Ques. How many small cubes are there whose two adjacent faces are coloured red
(a) 0
(b) 8
(c) 16
(d) 24

Ans. (d)

Direction for next 5 questions : A cube is painted red and all its faces and is then divided into 343 equal cubes.

Ques. How many cubes will have three faces painted ?
(a) 0
(b) 8
(c) 16
(d) 4

Ans. (b)

Ques. How may cubes will have two faces painted?
(a) 55
(b) 70
(c) 45
(d) None of these

Ans. (d)

Ques. How many cubes will have one face painted?
(a) 112
(b) 148
(c) 162
(d) 150

Ans. (d)

Ques. How many cubes have no face painted ?
(a) 216
(b) 64
(c) 125
(d) 27

Ans. (c)

Ques. How many cubes will have at least one face painted?
(a) 178
(b) 218
(c) 127
(d) 279

Ans. (b)