SSC CGL Tier 1 Reasoning: Cube, Cuboid and Dice - 20 Practice MCQs with Solutions

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Cube, Cuboid and Dice Questions for SSC CGL 2025: 20 Practice MCQs with Solutions | Painted Cube, Dice Opposite Faces

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Practice 20 Cube, Cuboid & Dice MCQs for SSC CGL Tier 1 Reasoning with detailed solutions. Covers painted cube problems, dice opposite faces, cube nets, cutting cubes & standard dice rules. Easy, Medium, Hard levels. Free PDF!

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Are you preparing for SSC CGL Tier 1 and finding Cube, Cuboid and Dice questions challenging? This is one of the most visual and logical topics in the Reasoning section, and mastering it can help you score quick marks!

Cube and Dice reasoning tests your spatial visualization ability, understanding of 3D structures, and logical reasoning skills. In this comprehensive practice set, we bring you 20 carefully designed MCQs covering all important sub-topics:

• Basic Cube Properties – Faces, edges, vertices, and their counts

• Standard Dice Rules – Opposite faces sum to 7 (1-6, 2-5, 3-4)

• Painted Cube Problems – Counting cubes with 0, 1, 2, 3 painted faces

• Dice Position Analysis – Finding opposite faces from multiple views

• Cube Nets (Unfolding) – Which patterns fold into a cube

• Cuboid Cutting Problems – Unit cubes in a painted cuboid

• Multiple Dice Arrangements – Touching faces and sums

• Open Box Nets – Patterns for boxes without top

Download the free PDF and boost your SSC CGL Reasoning score today!

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Full Version: SSC CGL Tier 1 Reasoning Cube Cuboid and Dice practice questions PDF containing 20 MCQs with detailed step-by-step explanations, covering painted cube problems, standard dice rules, opposite face identification, cube nets, cuboid cutting, and multiple dice arrangements across easy, medium, and hard difficulty levels for government exam preparation.

Short Version: SSC CGL Cube Cuboid Dice Reasoning 20 MCQs PDF with solutions - Easy, Medium, Hard levels

📝 Practice Questions

SECTION: EASY LEVEL

Q1. In a standard dice, what is the sum of opposite faces?

(A) 6 (B) 7 (C) 8 (D) 9

✓ Correct Answer: (B) 7

Explanation: In a standard dice, opposite faces sum to 7. Pairs: 1-6, 2-5, 3-4.

Q2. A cube has how many faces?

(A) 4 (B) 6 (C) 8 (D) 12

✓ Correct Answer: (B) 6

Explanation: A cube has Top, Bottom, Front, Back, Left, Right = 6 faces.

Q3. A cube has how many edges?

(A) 6 (B) 8 (C) 10 (D) 12

✓ Correct Answer: (D) 12

Explanation: Top edges=4, Bottom edges=4, Vertical edges=4. Total=12.

Q4. A cube has how many corners (vertices)?

(A) 4 (B) 6 (C) 8 (D) 12

✓ Correct Answer: (C) 8

Explanation: Top corners=4, Bottom corners=4. Total=8.

Q5. If a dice shows 3 on top, what is at bottom in standard dice?

(A) 2 (B) 3 (C) 4 (D) 5

✓ Correct Answer: (C) 4

Explanation: Opposite faces sum=7. Bottom = 7-3 = 4.

Q6. A cube painted red and cut into 27 smaller cubes. How many have no face painted?

(A) 0 (B) 1 (C) 6 (D) 8

✓ Correct Answer: (B) 1

Explanation: 3×3×3 cube. Inner cubes = (3-2)³ = 1.

Q7. If 1 opposite to 6, 2 opposite to 5, what is opposite to 3?

(A) 1 (B) 2 (C) 4 (D) 5

✓ Correct Answer: (C) 4

Explanation: Remaining: 3 and 4. So 3 is opposite to 4.

SECTION: MEDIUM LEVEL

Q8. Cube painted blue, cut into 64 cubes. How many have exactly 2 faces painted?

(A) 8 (B) 12 (C) 24 (D) 32

✓ Correct Answer: (C) 24

Explanation: 4×4×4 cube. Edge cubes = 12×(4-2) = 24.

Q9. Two dice positions shown. When 5 is at bottom, what is on top?

Position 1: Top=2, Front=3, Right=1 Position 2: Top=2, Front=4, Right=3

(A) 1 (B) 2 (C) 4 (D) 6

✓ Correct Answer: (B) 2

Explanation: Analysis shows 5 is opposite to 2. If 5 bottom, 2 is on top.

Q10. Cube painted and cut into 125 cubes. How many have exactly 3 faces painted?

(A) 4 (B) 8 (C) 12 (D) 16

✓ Correct Answer: (B) 8

Explanation: Corner cubes always = 8 (regardless of cube size).

Q11. Which can be folded to form a cube?

(A) Only when 6th square is adjacent to any arm (B) Only when opposite to center (C) All work (D) None

✓ Correct Answer: (A) Only when 6th square is adjacent to any arm

Q12. Cuboid 4×3×2 painted and cut into 1cm³ cubes. How many have exactly 1 face painted?

(A) 12 (B) 16 (C) 20 (D) 24

✓ Correct Answer: (B) 16

Q13. Three dice in row. Sum of 1st-2nd touching=9, 2nd-3rd=8. First outer=2. Third outer=?

(A) 2 (B) 3 (C) 4 (D) 5

✓ Correct Answer: (D) 5

Q14. Cube colors: Red-Blue, Green-Yellow, White-Orange opposite. Red top, Green front. What is right?

(A) Blue (B) Yellow (C) White (D) Orange

✓ Correct Answer: (C) White

SECTION: HARD LEVEL

Q15. 6cm cube painted, cut into 1cm cubes. How many have at least 1 face painted?

(A) 152 (B) 180 (C) 196 (D) 208

✓ Correct Answer: (A) 152

Explanation: Total=216, Unpainted=64. At least one = 152.

Q16. Four dice positions shown. What is opposite to 4?

(A) 1 (B) 2 (C) 3 (D) 6

✓ Correct Answer: (D) 6

Q17. Open box nets - how many different possible?

(A) 8 (B) 10 (C) 11 (D) 16

✓ Correct Answer: (A) 8

Q18. 5×5×5 cube. Ratio of 2-face to 1-face painted?

(A) 1:2 (B) 2:3 (C) 3:4 (D) 2:9

✓ Correct Answer: (B) 2:3

Explanation: 2 faces=36, 1 face=54. Ratio=2:3.

Q19. Two dice positions. What is opposite to 5?

(A) 1 (B) 3 (C) 4 (D) 6

✓ Correct Answer: (C) 4

Q20. 8cm cube painted, cut into 2cm cubes. How many have exactly 2 faces painted?

(A) 24 (B) 32 (C) 48 (D) 64

✓ Correct Answer: (A) 24

Explanation: 4×4×4 arrangement. Edge cubes = 12×2 = 24.

📊 Answer Key

💡 Key Formulas

Painted Cube (n×n×n)

Standard Dice

Opposite faces sum = 7: (1-6), (2-5), (3-4)

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