Problems on Dice MCQ Quiz - Objective Question with Answer for Problems on Dice - Download Free PDF
Last updated on Apr 17, 2025
Latest Problems on Dice MCQ Objective Questions
Problems on Dice Question 1:
A cube is painted on all the faces with same color and cut into 27 smaller cubes of equal size. How many cubes are painted on 2 faces?
Answer (Detailed Solution Below)
Problems on Dice Question 1 Detailed Solution
A cube is painted on all the faces with the same color and cut into 27 smaller cubes of equal size.
Clearly, the cube has been cut into a 3 × 3 × 3 arrangement.
So, n = 3 (n is the number of divisions on the face of an undivided cube)
By formula:
Number of cubes that are painted on 2 faces = 4n = 4 × 3 = 12
Hence, “12” is the correct answer.
Alternate Method
A cube is painted on all the faces with the same color and cut into 27 smaller cubes of equal size.
Clearly, the cube has been cut into a 3 × 3 × 3 arrangement.
So, n = 3 (n is the number of divisions on the face of an undivided cube)
The number of cubes with 2 sides painted = 12 (n - 2)
= 12 (3 - 2) = 12 × 1 = 12
Hence, “12” is the correct answer.
HintFor 1 side painted, we found that the pattern was 6(n - 2)^2 = the number of cubes with 1 side painted.
For a cube with 2 sides painted, we found that the pattern was 12(n - 2) = the number of cubes with 2 sides painted.
For the cubes with 3 sides painted, it will always be 8.
Problems on Dice Question 2:
Two different positions of the same dice are shown below, the six faces of which are numbered 1 to 6. Find the number on the face opposite to the one having 1.
Answer (Detailed Solution Below)
Problems on Dice Question 2 Detailed Solution
The faces with numbers 3 and 5 are adjacent to the face with number 1 in the first position. The faces with numbers 2 and 6 are adjacent to the face with number 1 in the second position. The only number left is 4.
Hence, the number on the face opposite to the one having 1 is 4.Problems on Dice Question 3:
On each page of the dice, six letters are written on P, Q, R, S, T and U, as shown in the picture. What is the letter on the opposite page of letter T?
Answer (Detailed Solution Below)
Problems on Dice Question 3 Detailed Solution
The logic followed here is :-
From the given two different cubes the adjacent sides are as shown below :
As T is common on both the dice, it is clear that S, Q, P and U are adjacent to it and remaining number i.e., R will be opposite to it.
Opposite pairs:
Q → P
S → U
T → R
So, the opposite side of "T" will be side "R".
Hence, the correct answer is "R".
Problems on Dice Question 4:
Three different positions of the same dice are given below. Find the image opposite of triangle.
Answer (Detailed Solution Below)
Problems on Dice Question 4 Detailed Solution
For find the opposite surface of 'triangle', we need to compare the common surface in the given dices,
So, From Dice 1 and Dice 3,
→ Square and Circle is the common surface in the both dice, so the Triangle and 'Hexagon' will be the opposite face.
Hence, the correct answer is "Option 4".
Problems on Dice Question 5:
A cube is made by folding the given sheet. In the cube so formed, which letter will be on the face opposite to the face showing 'B'?
Answer (Detailed Solution Below)
Problems on Dice Question 5 Detailed Solution
From the given open Dice:
G and R is the opposite sides.
H and C is the opposite sides.
B and F is the opposite sides.
So, the face of 'B' is opposite to the face showing 'F'.
Hence, the correct answer is "Option 1".
Top Problems on 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?
Answer (Detailed Solution Below)
Problems on Dice Question 6 Detailed Solution
Download Solution PDFFor find the adjacent faces of '4', we need to compare the common surface in the given dices,
Now,
From Dice 2 and Dice 3,
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".
Two positions of a dice are given below. What can come on the adjacent faces of the face containing ‘F' on it?
Answer (Detailed Solution Below)
Problems on Dice Question 7 Detailed Solution
Download Solution PDFFrom the given dice:
L is the common letter in both Dice,
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".
Two faces of a cube are given below. Which number will be opposite 5?
Answer (Detailed Solution Below)
Problems on Dice Question 8 Detailed Solution
Download Solution PDFCommon 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.
Two different positions of the same dice are shown below, the six faces of which are numbered 1 to 6. Find the number on the face opposite to the one having 1.
Answer (Detailed Solution Below)
Problems on Dice Question 9 Detailed Solution
Download Solution PDFThe faces with numbers 3 and 5 are adjacent to the face with number 1 in the first position. The faces with numbers 2 and 6 are adjacent to the face with number 1 in the second position. The only number left is 4.
Hence, the number on the face opposite to the one having 1 is 4.Three different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one showing '1'.
Answer (Detailed Solution Below)
Problems on Dice Question 10 Detailed Solution
Download Solution PDFThe figure given below is:
From figure 2 and 3, we understand that 5 and 4 is not the opposite face of 1 and 2.
The opposite faces are 1 - 2
Hence, the correct answer is "2".
A cube is painted on all surfaces with orange color and is divided into 27 equal cubes. How many cubes will have only one face painted?
Answer (Detailed Solution Below)
Problems on Dice Question 11 Detailed Solution
Download Solution PDFGiven,
A cube is painted Orange on all surfaces and then the cube cuts into 27 small cubes of equal part.
So, it has been cut into:
Here, n = 3.
Now, using formula: (n - 2)2 × 6
⇒ (n - 2)2 × 6
⇒ (3 - 2)2 × 6
⇒ 12 × 6
⇒ 1 × 6 = 6.
So, total '6' cubes will have only one face painted.
Hence, the correct answer is "6".
Four different positions of the same dice are shown. Select the letter on the face opposite to the showing 'B'.
Answer (Detailed Solution Below)
Problems on Dice Question 12 Detailed Solution
Download Solution PDFConcept:
The 3 adjacent faces of the dice which we see will never be the opposite among them.
In figure 1, Adjacent of B is D, F
In figure 2, Adjacent of B is C, D.
In figure 4, Adjacent of B is A, C.
This will never be the opposite of B.
Only remaining alphabet is E, which becomes the opposite of B.
Hence, E is the correct answer.
Two different positions of the same dice are shown having alphabets P to U. Find the alphabet on the face opposite the face showing 'U'.
Answer (Detailed Solution Below)
Problems on Dice Question 13 Detailed Solution
Download Solution PDFFor find the opposite surface of 'U', we need to compare the common surface in the given dices,
Now,
From the given Dice,
→ P and S is the common surface in both Dice, 'U' is the opposite surface of 'R'.
Here, 'U' is opposite to the face containing 'R'.
Hence, the correct answer is "R".
Two positions of a dice are given below. What can come on the adjacent faces of the face containing 'K' on it?
Answer (Detailed Solution Below)
Problems on Dice Question 14 Detailed Solution
Download Solution PDFFrom the given dice:
A is the common letter in both Dice,
Here, H, B, K and T are the adjacent of A.
and, the remaining face will be opposite of A.
Now, checking the options:
Option 1) H and T → False (H is the opposite face of K).
Option 2) H and B → False (H and B is the adjacent of A, not K).
Option 3) B and A → True (B and A will be the adjacent surface of K).
Option 4) A and H → False (A and H is the adjacent of B, not K).
Therefore, 'B and A' the adjacent faces of the face containing 'K'.
Hence, the correct answer is "Option 3".
Three positions of a dice are given. Find out which is found opposite the letter 2 in the given cube.
Answer (Detailed Solution Below)
Problems on Dice Question 15 Detailed Solution
Download Solution PDFIn the first two given dice numbers, 6 and 3 are common means 2 and 5 are in opposite faces.
Here, Number 5 is the Opposite of 2.
Hence, Option (4) is the answer.