Cube and Dice MCQ Quiz - Objective Question with Answer for Cube and Dice - Download Free PDF

Last updated on Jun 14, 2025

Latest Cube and Dice MCQ Objective Questions

Cube and Dice Question 1:

Select from the given alternatives, the box that can be formed by folding the sheet given below.

F1 State G Arbaz 11-07-2023 Pooja D2

  1. F1 State G Arbaz 11-07-2023 Pooja D3
  2. F1 State G Arbaz 11-07-2023 Pooja D4
  3. F1 State G Arbaz 11-07-2023 Pooja D5
  4. F1 State G Arbaz 11-07-2023 Pooja D6
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : F1 State G Arbaz 11-07-2023 Pooja D3

Cube and Dice Question 1 Detailed Solution

Opposite surface of the open dice can be found by the below method:-

  • Alternate surfaces are opposite to each other.
  • No two opposite surface are touched by side or by corners

So, by using the above rule we can find the opposite surface of open dice.

In the given figure, Opposite faces are :

F1 State G Arbaz 11-07-2023 Pooja D7

(1) F1 State G Arbaz 11-07-2023 Pooja D3 →  None of the opposite faces are seen together nor they are adjacent to each other so, This cube can be formed.

(2)F1 State G Arbaz 11-07-2023 Pooja D8→ Opposite faces are seen together so, this cube cannot be formed.

(3)F1 State G Arbaz 11-07-2023 Pooja D9→ Opposite faces are seen together so, this cube cannot be formed.

(4)F1 State G Arbaz 11-07-2023 Pooja D10 → Opposite faces are seen together so, this cube cannot be formed.

Hence, the correct answer is "Option (1)".

Cube and Dice Question 2:

Select the image that will be formed after the unfolded net of the cube is folded inwards to form the cube.

F1 Pooja Ravi 28.09.2021 D27

  1. F1 Pooja Ravi 28.09.2021 D28
  2. F1 Pooja Ravi 28.09.2021 D29
  3. F1 Pooja Ravi 28.09.2021 D30
  4. F1 Pooja Ravi 28.09.2021 D31
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : F1 Pooja Ravi 28.09.2021 D28

Cube and Dice Question 2 Detailed Solution

The faces opposite to each other is shown below:

F1 Madhuri Engineering 28.06.2022 D22

The opposite sides are:

F1 Madhuri Engineering 28.06.2022 D23

 

1) F1 Pooja Ravi 28.09.2021 D28 → This cube can be formed as no two opposite faces appear together on the same dice. 

2) F1 Pooja Ravi 28.09.2021 D29 → This cube cannot be formed as F1 Madhuri Engineering 28.06.2022 D24 and faces are opposite faces and no two opposite faces can appear together on the same dice. So, this cube can't be formed.

3) F1 Pooja Ravi 28.09.2021 D30 → This cube cannot be formed as F1 Madhuri Engineering 28.06.2022 D25 and faces are opposite faces and no two opposite faces can appear together on the same dice. So, this cube can't be formed.

4) F1 Pooja Ravi 28.09.2021 D31 → This cube cannot be formed as F1 Madhuri Engineering 28.06.2022 D25 and faces are opposite faces and no two opposite faces can appear together on the same dice. So, this cube can't be formed.

Hence, ‘option 1’ is the correct answer.

Cube and Dice Question 3:

Three positions of a dice are shown below. Which letters should be on the face opposite to the face with 'OC'?

F4 Mrunal State 11.12.2022 D14

  1. KC
  2. CA
  3. GC
  4. DC
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : KC

Cube and Dice Question 3 Detailed Solution

From the given figures:

F4 Mrunal State 11.12.2022 D15

AC KC DC
AC OC CA

Opposite faces are:

KC ⇔ OC

DC ⇔ CA

AC ⇔ GC

Here, the opposite face of OC is KC.

Hence, the correct answer is "KC".

Cube and Dice Question 4:

Which of the cubes from the given options can be made from the given sheet of paper?

F7 Pankaj C 7-12-2020 Swati D1

  1. F7 Pankaj C 7-12-2020 Swati D2
  2. F7 Pankaj C 7-12-2020 Swati D3
  3. F7 Pankaj C 7-12-2020 Swati D4
  4. 5fd06864c26cbbbaa7ee46f5 16478608552551
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : F7 Pankaj C 7-12-2020 Swati D4

Cube and Dice Question 4 Detailed Solution

Opposite surface of the open dice can be found by the below method:-

  • Alternate surfaces are opposite to each other.
  • No two opposite surface are touched by side or by corners

The opposite faces are:

F7 Pankaj C 7-12-2020 Swati D6

Option 1: cannot be formed, since opposite faces but here they are seen together which is wrong. Thus this cube cannot be made.

Option 2: cannot be formed since opposite faces but here they are seen together which is wrong. Thus this cube cannot be made.

Option 3: can be formed since none of the opposite faces are seen together nor they are adjacent to each other. Thus this cube can be made.

Option 4: cannot be formed as to make cube two concentric circles should be replaced by star.

Hence, cube given in option 3 can be made from the given sheet of paper.

Cube and Dice Question 5:

Three different positions of the same dice are shown here. Which symbol is on the face opposite to the face showing ‘@’?

Upload- Problem on dice Direction and distance Rimpa 20 Dec 2019 20Qs hindi Shalesh D6

  1. #
  2. %
  3. *
  4. $
  5. None of the above

Answer (Detailed Solution Below)

Option 4 : $

Cube and Dice Question 5 Detailed Solution

@ is there in the1st dice. In order to find the face opposite to @, take 1st and 3rd dice. # is common in both the faces. Keeping the face ‘#’ constant, and then rotating in the clockwise direction, we find the faces opposite to each other.

#

!

@

*

%

$


Hence, ‘$’ is opposite to ‘@’.

Top Cube and Dice MCQ Objective Questions

Three positions of a dice are given below. What can come on the adjacent faces of the face containing '4' on it?

F3 Savita SSC 16-5-23 D47

  1. 7 and 5
  2. 3 and 7
  3. 7 and 6
  4. 6 and 5

Answer (Detailed Solution Below)

Option 4 : 6 and 5

Cube and Dice Question 6 Detailed Solution

Download Solution PDF

For find the adjacent faces of '4', we need to compare the common surface in the given dices,

Now,

From Dice 2 and Dice 3,

F3 Savita SSC 16-5-23 D48

Here, 3, 5, and 6 is the adjacent surfaces of 4.

So, according to the options '6 and 5' will be the adjacent surfaces of 4.

Hence, the correct answer is "Option 4".

A cube of side 125 cm is painted red on all the faces and then cut into smaller cubes of sides 25 cm each. Find the number of smaller cubes having at least two faces painted.

  1. 48
  2. 36
  3. 44
  4. 52

Answer (Detailed Solution Below)

Option 3 : 44

Cube and Dice Question 7 Detailed Solution

Download Solution PDF

Given:

Length of the side of the big cube = 125 cm.

Length of the side of the smaller cube = 25 cm.

Formula:

A cube is a three-dimensional figure with 8 corners, 6 surfaces, and 12 edges (sides).

If a cube is painted on all of its surfaces with the same colour, and then divided into smaller cubes of equal size, then the number of smaller cubes so obtained will be calculated as follows:

  • Number of cubes with no face painted = (n - 2)3
  • Number of cubes with one face painted = 6(n - 2)2
  • Number of cubes with two faces painted = 12(n - 2)
  • Number of cubes with three faces painted = 8(Always)

 where n = No. of parts of each side = Length of the side of larger cube ÷ length of the side of the smaller cube

Calculation:

n = 125 ÷ 25 = 5

⇒ n - 2 = 3

Number of smaller cubes having at least two faces painted

= total no. of cubes - (no. of cubes with no face painted + no. of cubes with only one face painted)

= 125 - (33 + 6 × 32)

= 125 - (27 + 54)

= 125 - 81

= 44

Hence, 44 is the correct answer.

Two positions of a dice are given below. What can come on the adjacent faces of the face containing ‘F' on it?
F1 SSC Savita 2-5-23 D18

  1. 8 and L
  2. 7 and 9
  3. 9 and 8
  4. L and 9

Answer (Detailed Solution Below)

Option 1 : 8 and L

Cube and Dice Question 8 Detailed Solution

Download Solution PDF

From the given dice:

L is the common letter in both Dice,
F1 SSC Savita 2-5-23 D19
So, 7 is the opposite surface of 8.

and, F and 9 is the opposite surface.

Face L 7 F
Opposite Surface L 8 9

 

Therefore, among the given options, 8 and L will be the adjacent surface of 'F'.

Hence, the correct answer is "Option 1".

Select the set in which the numbers are related in the same way as are the numbers of the following set.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

(3, 14, 1)

(4, 36, 2)

  1. (8, 12, 2)
  2. (5, 81, 4)
  3. (7, 40, 3)
  4. (8, 260, 2)

Answer (Detailed Solution Below)

Option 4 : (8, 260, 2)

Cube and Dice Question 9 Detailed Solution

Download Solution PDF

Logic : (Cube of 1st number + Cube of 3rd number) / 2 = 2nd number

Given :

  • (3, 14, 1)

\({(3)^3 + (1)^3 \over 2}\) = 14

\({27 + 1 \over 2}\) = 14

\({28 \over 2}\) = 14

⇒14 = 14 (LHS = RHS)

  • (4, 36, 2)

\({(4)^3 + (2)^3 \over 2}\) = 36

\({64 + 8 \over 2}\) = 36

\({72 \over 2}\) = 36

⇒36 = 36 (LHS = RHS)

So,

  • Option - (1) : (8, 12, 2)

\({(8)^3 + (2)^3 \over 2}\) = 12

\({512 + 8 \over 2}\) = 12

\({520 \over 2}\) = 12

⇒260  12 (LHS  RHS)

  • Option - (2) : (5, 81, 4)

\({(5)^3 + (4)^3 \over 2}\) = 81

\({125 + 64 \over 2}\) = 81

\({189 \over 2}\) = 81

⇒94.5  81 (LHS  RHS)

  • Option - (3) : (7, 40, 3)

\({(7)^3 + (3)^3 \over 2}\) = 40

\({343 + 27 \over 2}\) = 40

\({370 \over 2}\) = 40

⇒185  40 (LHS  RHS)

  • Option - (4) : (8, 260, 2)

\({(8)^3 + (2)^3 \over 2}\) = 260

\({512 + 8 \over 2}\) = 260

\({520 \over 2}\) = 260

⇒260 = 260 (LHS = RHS)

Hence, "Option - (4)" is the correct answer.

Six  letters and symbols, H, h, I, @, % and $, are written on the different faces of a dice. Two position of this dice are shown. Select the letter or symbol that will be on the opposite to the one having 'H'.

F1-Savita Railways 26-5-22 D55

  1. @
  2. $
  3. %
  4. h

Answer (Detailed Solution Below)

Option 1 : @

Cube and Dice Question 10 Detailed Solution

Download Solution PDF

In first dice and second dice:

Given:

F1-Savita Railways 26-5-22 D55

Logic: If two dice have the same face value in the given image then their clockwise or anticlockwise wise number are known as opposite numbers in dice.

In first dice and second dice. The symbol 'l' is common.

The left letter will be opposite each other writing them clockwise starting from I.

Symbols

Opposite

H

@

%

h

I $

 

Hence, the face opposite the H is “@”.

Hence, the correct answer is “@”

A cube of side 80 cm is painted yellow on all the faces and then cut into smaller cubes of sides 8 cm each. Find the number of smaller cube having all the three faces painted.

  1. 32
  2. 28
  3. 8
  4. 64

Answer (Detailed Solution Below)

Option 3 : 8

Cube and Dice Question 11 Detailed Solution

Download Solution PDF
  • A cube of side 80 cm is painted yellow on all the faces and then cut into smaller cubes of sides 8 cm each.

F1 Savita SSC 17-6-22 D38

  • The number of smaller cube having all the three faces painted.

 

F1 Savita SSC 17-6-22 D39 

All corner cubes are painted on three sides there are 8 corners in cubes.

So, cubes with paint on 3 sides = 8

Hence, "8" is the correct answer.

Additional Information

If a cube has been painted red, blue, and black on pairs of opposite faces and divide it into X parts.

1) Total number of cubes = X3

2) Cubes that have three faces painted = 8 (Because there are only 8 corners in the cube)

3) Cubes which has only two faces painted = (X - 2) × No of Edges (12)

4) Cubes that have only one face painted = (X - 2)2 × 6

5) Cubes that have no face painted = (X - 2)3

Two different positions of the same dice marked with the letters/symbols X, $, Y, &, Z and @ are shown.

Select the letter/symbol that will be on the face opposite to the face having the symbol $.

F4 Madhuri SSC 01.04.2022 D2 V2

  1. &
  2. Z
  3. @
  4. X

Answer (Detailed Solution Below)

Option 1 : &

Cube and Dice Question 12 Detailed Solution

Download Solution PDF

For this question, the relation is given below -

F4 Madhuri SSC 01.04.2022 D2 V2

Logic: If two dice have the same two face values in the given image then the third number is opposite to each other.

In first dice and second dice.

F2 Madhuri SSC 12.04.2022 D16

Symbols 'Y' and 'Z' are common.

So, the symbol '&' is the opposite of $.

Hence, the correct answer is “&”

Two faces of a cube are given below. Which number will be opposite 5?

F1 Ashik 11-02-21 Savita D3

  1. 3
  2. 5
  3. 4
  4. 1

Answer (Detailed Solution Below)

Option 4 : 1

Cube and Dice Question 13 Detailed Solution

Download Solution PDF

Common number in both the positions = 2

Start with common number 2 moving clockwise.

Opposite letters:

2 ⇒ 6

3 ⇒ 4

1 ⇒ 5

Hence, "1" is the opposite of 5.

A cube of side 18 cm is painted yellow on all the faces and then cut into smaller cubes of sides 3 cm each. Find the number of smaller cubes that have only two faces painted. 

  1. 48
  2. 20
  3. 64
  4. 36

Answer (Detailed Solution Below)

Option 1 : 48

Cube and Dice Question 14 Detailed Solution

Download Solution PDF

A cube of side 18 cm is painted yellow on all the faces and then cut into smaller cubes of sides 3 cm each.

Cube is divided into 18/3 = 6 equal parts, hence n = 6.

Number of cubes with 2 sides painted = 12 (n - 2)

= 12 (6 - 2)

= 12 × 4

= 48 

Hence, '48' is the correct answer. 

A cube of side 12 cm is painted green on all the faces and then cut into smaller cubes of sides 2 cm each. Find the number of smaller cubes that have only one face painted.

  1. 68
  2. 96
  3. 78
  4. 49

Answer (Detailed Solution Below)

Option 2 : 96

Cube and Dice Question 15 Detailed Solution

Download Solution PDF

A cube of side 12 cm is painted green on all the faces and then cut into smaller cubes of sides 2 cm each.

Cube is divided into 12/2 = 6 equal parts, hence n = 6.

Number of cubes with 1 sides painted = 6(n - 2)2

= 6 (6 - 2)2

= 6 × 42

= 6 × 16

= 96

Hence, '96' is the correct answer. 

Get Free Access Now
Hot Links: teen patti master 2023 teen patti neta teen patti baaz teen patti bodhi teen patti download