SSC CHSL 2027 Dice and Cube Questions: Rules, Tricks & Practice Set

SSC CHSL 2027 Dice and Cube Questions: Rules, Tricks & Practice Set

Dice and Cube questions are an important part of non-verbal reasoning. These questions test your ability to understand face positions, identify opposite sides, visualise rotations and count smaller cubes formed from a larger cube.

For SSC CHSL 2027 preparation, understanding basic dice rules and painted cube concepts can help you solve these questions systematically. This guide covers important concepts, examples and practice MCQs.

1. Basic Concepts of Dice

A standard die is a cube with six faces numbered from 1 to 6. Each face has a fixed position, and opposite faces are important in reasoning questions.

Important rule for a standard die: The sum of the numbers on opposite faces is 7.

Note: The sum-to-7 rule applies to a standard die. Do not assume it for an ordinary numbered cube unless the question specifies it.

2. Important Types of Dice Questions

A. Opposite Face Identification

Identify the face that lies opposite a given number. Use the information provided in the question or the standard die rule when applicable.

B. Common Face Method

When two views of a die are shown, compare their common faces and positions to identify possible opposite or adjacent faces.

C. Dice Rotation

These questions test how the visible faces change when a die is rotated in a particular direction.

3. Cube Concepts and Painted Cube Questions

In cube questions, a large cube may be painted on some or all of its faces and then divided into smaller equal cubes. You must calculate how many smaller cubes have painted or unpainted faces.

Important formulas: If a cube is painted on all six outer faces and divided into n equal parts along each edge:

Example: A cube is painted on all six faces and divided into 3 equal parts along each edge.

Total small cubes = 3³ = 27.

3 painted faces = 8, 2 painted faces = 12, 1 painted face = 6 and unpainted cubes = 1.

4. Step-by-Step Method to Solve Cube Questions

1. Check the painting: Identify which outer faces are painted.
2. Count divisions: Find the number of equal parts along each edge.
3. Calculate total cubes: Use n³.
4. Identify corner cubes: These have three painted faces when all six outer faces are painted.
5. Count edge and face cubes: Apply the relevant formulas.
6. Check inner cubes: Calculate the cubes with no painted faces.

5. SSC CHSL 2027 Dice and Cube Practice Questions

Choose the correct option for each question.

Q1. On a standard die, what number is opposite to 2?

A. 3
B. 4
C. 5
D. 6

Q2. On a standard die, what is the sum of the numbers on opposite faces?

A. 5
B. 6
C. 7
D. 8

Q3. How many faces does a cube have?

A. 4
B. 6
C. 8
D. 12

Q4. A cube is painted on all six faces and divided into 3 equal parts along each edge. How many small cubes are formed?

A. 9
B. 18
C. 27
D. 36

Q5. A cube is painted on all six faces and divided into 4 equal parts along each edge. How many small cubes have three painted faces?

A. 4
B. 6
C. 8
D. 12

Q6. A cube is painted on all six faces and divided into 4 equal parts along each edge. How many small cubes have exactly two painted faces?

A. 12
B. 16
C. 20
D. 24

Q7. A cube is painted on all six faces and divided into 3 equal parts along each edge. How many small cubes have no painted faces?

A. 0
B. 1
C. 6
D. 8

Q8. A cube is divided into 5 equal parts along each edge. What is the total number of smaller cubes?

A. 25
B. 75
C. 100
D. 125

Q9. A cube is painted on all six faces and divided into 3 equal parts along each edge. How many small cubes have exactly one painted face?

A. 4
B. 6
C. 8
D. 12

Q10. A cube is painted on all six faces and divided into 4 equal parts along each edge. How many small cubes have no painted faces?

A. 4
B. 6
C. 8
D. 12

Answer Key with Explanations

6. Preparation Tips for SSC CHSL 2027

• Learn the opposite-face rules for standard dice.
• Practise identifying adjacent and opposite faces from different views.
• Memorise the painted cube formulas.
• Practise cube division problems with different numbers of parts.
• Draw simple cube diagrams to understand face positions.
• Check calculations carefully to avoid missing smaller cubes.

Prepare for SSC CHSL 2027 with Katara Academy

Dice and Cube questions become easier when you understand face relationships, rotations and painted cube formulas. Practise different question types regularly to improve your reasoning accuracy and speed.

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