SSC CGL Cube & Dice Verified Practice Test 1
15 structurally validated Cube & Dice questions with unique options, mapped answers and explanations.
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SSC CGL Cube & Dice Verified Practice Test 1
15 structurally validated Cube & Dice questions with unique options, mapped answers and explanations.
Preview all 15 questions in SSC CGL Cube & Dice Verified Practice Test 1 (no login required)
- Dice
1. In a standard dice, which number is opposite to 1?
- A. 2
- B. 3
- C. 5
- D. 6 (Correct)
Explanation: In a standard dice, opposite faces add to 7.
- Dice
2. In a standard dice, which number is opposite to 3?
- A. 1
- B. 2
- C. 4 (Correct)
- D. 6
Explanation: Opposite faces add to 7, so 3 is opposite 4.
- Cube
3. A cube has 6 faces, 12 edges and how many vertices?
- A. 6
- B. 8 (Correct)
- C. 10
- D. 12
Explanation: A cube has 8 vertices.
- Cube
4. A cube is painted on all faces and cut into 27 equal small cubes. How many small cubes have three painted faces?
- A. 4
- B. 6
- C. 8 (Correct)
- D. 12
Explanation: Only corner cubes have three painted faces, and a cube has 8 corners.
- Cube
5. A cube painted on all faces is cut into 64 equal cubes. How many small cubes have no painted face?
- A. 4
- B. 6
- C. 8 (Correct)
- D. 12
Explanation: For 4 x 4 x 4 cutting, inner unpainted cubes = (4-2)^3 = 8.
- Dice
6. If 2 is opposite 5 and 3 is opposite 4 on a dice, which number is opposite 1?
- A. 2
- B. 3
- C. 4
- D. 6 (Correct)
Explanation: The remaining pair is 1 and 6.
- Cube
7. How many edges does a cube have?
- A. 8
- B. 10
- C. 12 (Correct)
- D. 14
Explanation: A cube has 12 edges.
- Cube
8. A cube painted on all faces is cut into 125 equal cubes. How many have exactly two painted faces?
- A. 24
- B. 30
- C. 36 (Correct)
- D. 40
Explanation: For 5 divisions per edge, exactly two painted faces = 12 x (5-2) = 36.
- Dice
9. Two opposite faces of a dice cannot be seen together in one view. If 1, 2 and 3 are visible together, which pair is definitely not opposite?
- A. 1 and 2 (Correct)
- B. 1 and 6
- C. 2 and 5
- D. 3 and 4
Explanation: Faces visible together are adjacent, so 1 and 2 are definitely not opposite.
- Cube
10. A cube has how many faces?
- A. 4
- B. 5
- C. 6 (Correct)
- D. 8
Explanation: A cube has six square faces.
- Cube
11. A cube painted on all faces is cut into 8 equal cubes. How many small cubes have three painted faces?
- A. 4
- B. 6
- C. 8 (Correct)
- D. 12
Explanation: With 2 cuts per edge, all 8 small cubes are corner cubes with three painted faces.
- Dice
12. If 1 is opposite 6 and 2 is opposite 5 on a dice, which number is opposite 3?
- A. 1
- B. 2
- C. 4 (Correct)
- D. 6
Explanation: The remaining opposite pair is 3 and 4.
- Cube
13. A cube painted on all faces is cut into 216 equal cubes. How many small cubes have no painted face?
- A. 64 (Correct)
- B. 80
- C. 96
- D. 100
Explanation: 216 = 6^3, so inner unpainted cubes = (6 - 2)^3 = 64.
- Dice
14. If two faces visible together are 2 and 4, what can be concluded?
- A. They are adjacent (Correct)
- B. They are opposite
- C. Both are top faces
- D. They are equal
Explanation: Faces visible together in one view of a dice are adjacent, not opposite.
- Cube
15. How many corner cubes are there in any large cube cut into smaller equal cubes?
- A. 4
- B. 6
- C. 8 (Correct)
- D. 12
Explanation: Every cube has 8 corners, so there are 8 corner cubes.