Cubes and Dice Reasoning Questions: Practices, Tricks(PDF Download)

Cubes and Dice are used as visual tools to present problems that involve spatial reasoning, visualization, and pattern recognition. Cubes and Dice Non Verbal Reasoning questions are used to assess a person’s ability to mentally manipulate and understand three-dimensional objects.

In this Article, We have discussed Basic Concepts basics Concepts of Cubes and Dice Reasoning, Tips and tricks for solving Cubes and Dice Questions, Practice problems with solutions and many more.

Let’s take closer look on Non-Verbal Reasoning.

Cubes and Dice Reasoning Concepts

The are the basic concepts you need to know before solving the Cubes and Dice Reasoning Questions.

A. Representation of Cubes and Dice

• In reasoning questions, cubes and dice are often represented as three-dimensional geometric shapes.
• Cubes are depicted with square faces, each having equal sides, and dice are a specific type of cube with numbered faces.
• Visualizing and drawing these representations is crucial for solving problems related to cubes and dice.

B. Faces, Edges, and Vertices

• Faces: A cube has six faces, and each face is a square. These faces are the surfaces of the cube.
• Edges: The cube has 12 edges, connecting the corners of its faces. Edges are the lines where two faces meet.
• Vertices: There are eight vertices in a cube, representing the points where three edges meet. Vertices are the corners of the cube.

C. Types of Dice

• Standard Dice (Cubical): These are the familiar six-sided dice commonly used in board games. Each face has a number from 1 to 6.
• Non-standard Dice: These are cubes with variations in numbering schemes or shapes. Non-standard dice may have different symbols, letters, or unconventional numbering.

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Cubical Dice Rules

• Basic Movement Rules:
  • A standard cubical die has six faces, and the sum of numbers on opposite faces is always 7.
  • When a die is rolled, the face opposite the face on the bottom will be the face on top.
• Adjacent Face Rules:
  • In a standard die, the faces adjacent to each other always have numbers whose sum is 7.
  • For example, if one face has a 3, the adjacent face will have a 4.

Tricks for Visualization

• Numbering Visualization:
  • Visualize the numbering on a die by understanding the patterns of adjacent faces.
  • Practice mentally rotating the die to quickly identify opposite and adjacent faces.
• Problem-Solving Techniques:
  • Break down complex problems into simpler components for easier visualization.
  • Use mental imagery to picture the movement and arrangement of dice in various scenarios.

Probability Concepts of Cubes and Dice Reasoning

• Single Die Probability:
  • The probability of a specific number (1 to 6) landing face up on a fair die is 1/6.
  • The probability of an event happening is the number of favorable outcomes divided by the total possible outcomes.
• Multiple Dice Probability:
  • When rolling multiple dice, calculate the probability of specific combinations by considering all possible outcomes.
  • Understand the concept of independent events when dealing with multiple dice.

Sample Problems: Non-Verbal Reasoning Cubes and Dice

Q1. Choose the box that is similar to the box formed from the given sheet of paper (X).

A. 1 and 4 only

B. 3 and 4 only

C. 1 and 2 only

D. 2 and 3 only

Answer: Option A

Explanation:

When the sheet shown in fig. (X) is folded to form a cube then one of the two half-shaded faces lies opposite to one of the blank faces and the other half-shaded face lies opposite to another blank face. The two remaining blank faces lie opposite to each other. Thus, both the cubes shown in figures (1).and (4) can be formed when the sheet shown in fig. (X) is folded. Also, though the cubes shown in figures (2) and (3) have faces that can appear adjacent to each other but the cube formed by folding the sheet in fig. (X) cannot be rotated to form either of the two. Hence, the cubes in figures (2) and (3) cannot be formed.

Q2. How many dots lie opposite to the face having three dots, when the given figure is folded to form a cube?

A. 2

B. 4

C. 5

D. 6

Answer: Option D

Explanation:

When this figure is folded to form a cube then the face bearing six dots will lie opposite the face bearing three dots.

Q3. Choose the box that is similar to the box formed from the given sheet of paper (X).

A. 1 and 3 only

B. 1 and 4 only

C. 2 and 4 only

D. 3 and 4 only

Answer: Option A

Explanation:

When the sheet shown in fig. (X) is folded to form a cube then the two half-shaded faces lie opposite to each other, the face bearing a circle lies opposite to one of the two blank faces and the two remaining blank faces lie opposite to each other. Therefore, the cubes shown in fig. (4) which has the two half-shaded faces adjacent to each other, cannot be formed by folding the sheet shown in fig. (X). Also, the cube shown in fig. (2) has the face bearing a circle adjacent to two blank faces. This is not possible since there is one blank face opposite to the circle and one blank face opposite to the third blank face. Hence, only the cubes in figures (1) and (3) can be formed.

Q4. Choose the box that is similar to the box formed from the given sheet of paper (X).

A. 1 and 2 only

B. 2 and 3 only

C. 2 and 4 only

D. 1, 2, 3 and 4

Answer: Option D

Explanation:

When a cube is formed by folding the sheet shown in fig. (X), then the two half-shaded faces lie opposite to each other and one. of the three blank faces appears opposite to the face bearing a dot. Clearly, each one of the four cubes shown in figures (1), (2), (3) and (4) can be formed by folding the sheet shown in fig. (X).

Q6. What is the example of a standard dice?

A. A

B. B

C. C

D. D

Answer: Option A

Explanation:

As per definition of standard dice, any of the two opposite faces of dice must be 7.

So, only in dice A the sum of two adjacent faces is 7.

Q7. What is the opposite face of “Red”?

A. Red

B. Blue

C. Yellow

D. Black

Answer: Option C

Explanation:

Blue is common in both dices, so putting blue as a constant term we have to rotate two dices by clockwise and anticlockwise direction, so we get the opposite side of red is yellow.

Related Resource for Non Verbal Reasoning Cubes and Dice:

• Dot Situation – Non Verbal Reasoning
• Image Analysis – Non Verbal Reasoning
• Grouping of Images – Non Verbal Reasoning
• Embedded Images – Non Verbal Reasoning