Table of contents  
Scope of the Topic for SSC and RRB  
Dice – Basic Concepts  
Cube and Dice Tricks  
Sample Questions – Cube and Dice Tricks 
This topic is a regular topic in exams SSC CGL, SSC CHSL, RRB NTPC, etc. For SSC CGL, in tier I and tier II; for SSC CHSL in tier I and for RRB NTPC in 1st Stage Computer Based Test (CBT) and 2nd Stage Computer Based Test (CBT) the questions on cubed and dice are often asked.
The types of questions asked are:
(i) Constructed and deconstructed dice
(ii) Observations of an open die
(iii) Finding the opposite side
(iv) Odd one out
Generally, around 2 – 3 questions are asked. The difficulty level of these questions is easy or easymoderate.
Die is a small, throwable object with marked sides that can rest in multiple positions. Dice is a cube. It has a different number placed on each side.
The following diagram is of an open dice when it is flattened out.
Variations of an open die are as follows :
A)
Faces 1 and 6, faces 4 and 3, faces 5 and 2 are opposite to each other.
B)
Faces 1 and 6, faces 4 and 3, faces 5 and 2 are opposite to each other.
C)
Faces 1 and 6, faces 4 and 3, faces 5 and 2 are opposite to each other.
To master various Cube and Dice Tricks, one should learn the two basic rules of cubes and dice. Most of the questions asked can be addressed by using these rules.
Here, face 5 is the common face.
Faces 3, 6, 4, and 1 are adjacent to the face 2. Hence, face 2 is opposite to face 5 here.
Faces 3 and 4 and faces 6 and 1 are opposite to each other.
Here, faces 1 and 3 are common faces.
Face 1 is at the same position.
Face 5 and 6 are not common.
Hence, faces 5 and 6 are opposite to each other.
(a) 2 – 3
(b) 4 – 6
(c) 5 – 6
(d) 5 – 2
(e) 4 – 2
Ans: (4)
Here, faces 1 and 6, faces 4 and 3, faces 5 and 2 are opposite to each other.
(a) Only I
(b) Only II
(c) Only III
(d) Both I and II
(e) Both II and III
Ans: (b)
In the given flattenedout figure, faces 1 and 6, faces 4 and 3, faces 5 and 2 are opposite to each other.
In figure I faces 3 and 4 are adjacent to each other and in figure III, faces 2 and 5 are adjacent to each other.
Hence, figures I and III cannot be the folded cube.
In figure II, faces 6, 3, and 5 can be adjacent to each other. Figure II can be the folded cube.
177 videos126 docs197 tests

1. What are cubes and dice? 
2. How many faces does a cube have? 
3. How many faces does a dice have? 
4. What are some common uses of cubes and dice? 
5. How can cubes and dice be used for probability calculations? 
177 videos126 docs197 tests


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