IBPS Clerk Cube & Dice ā Study Material, 13 PYQs & Practice MCQs | ZestExam
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IBPS Clerk Cube & Dice
Study Material ā 13 PYQs (2024ā2024) Ā· Concept Notes Ā· Shortcuts
IBPS Clerk Cube & Dice is a frequently tested subtopic ā 13 previous year questions from 2024ā2024 papers are included below with concept notes, key rules and shortcut tricks.
13 questions from actual IBPS Clerk papers Ā· all shown free Ā· click option to reveal solution
Exam Q 12024Previous Year Pattern
A standard die has opposite faces summing to 7 (1 opposite 6, 2 opposite 5, 3 opposite 4). If you roll the die and see face 2 on top, which face is facing you (front)?
A standard die is placed on a table. The face showing 6 is on top, and the face showing 3 is facing you. Which number is on the bottom face of the die?
Exam Q 32024Previous Year Pattern
A cube has faces numbered 1 to 6. Face 1 is opposite to face 6, and face 2 is opposite to face 5. When face 3 is on top, which face is at the bottom?
Exam Q 42024Previous Year Pattern
A die shows faces with dots: 1, 2, 3, 4, 5, and 6. If faces with 1 and 6 dots are opposite, and faces with 2 and 5 dots are opposite, how many dots are on the face opposite to the face with 3 dots?
Exam Q 52024Previous Year Pattern
A cube has six faces painted with colors: Red, Blue, Green, Yellow, Orange, and Purple. Red is opposite to Blue. Green is opposite to Yellow. If Orange is on top, which color is at the bottom?
Exam Q 62024Previous Year Pattern
A cube is unfolded into a net. The net shows: a central square with four squares attached to its four sides, and one square attached to the top of the upper square. If the central square is marked 'A', the square to its right is 'B', the square above it is 'C', the square to its left is 'D', the square below it is 'E', and the remaining square is 'F' (attached above C), then when the cube is folded, which face is opposite to face A?
Exam Q 72024Previous Year Pattern
A standard die has opposite faces summing to 7. A die is placed on a table with 3 on top. It is then rolled to the right three times in succession. After these three rolls, what is the sum of the numbers on the top and bottom faces?
Exam Q 82024Previous Year Pattern
A cube has six faces. On one face, a circle is drawn; on the opposite face, a square is drawn; on another face, a triangle is drawn. When the cube is unfolded into a net, which of the following configurations is IMPOSSIBLE?
Exam Q 92024Previous Year Pattern
A cube has faces numbered 1 to 6. When face 1 is on top and face 2 is facing you, face 3 is on your right. If the cube is rolled forward (away from you) once, then rolled to the right once, what face is now facing you?
Exam Q 102024Previous Year Pattern
An unfolded net of a cube shows: Face A is opposite to Face B, Face C is opposite to Face D, and Face E is opposite to Face F. When the net is folded, if Face A is on top and Face C is facing north, which face is facing south?
Exam Q 112024Previous Year Pattern
A standard die shows opposite faces summing to 7. A die is placed with 3 on top and 2 facing you. The die is then rotated 90Ā° to the right (clockwise when viewed from above). After this rotation, the die is tilted forward 90Ā° (away from you). What number is now facing you?
Exam Q 122024Previous Year Pattern
A cube has six faces painted with colors: Red, Blue, Green, Yellow, Orange, and White. Red is opposite Blue. Green is opposite Yellow. Orange is opposite White. The cube is positioned with Red facing north and Green facing up. If the cube is rotated 180Ā° around the vertical axis (top-to-bottom), what color now faces north?
Exam Q 132024Previous Year Pattern
A cube has faces labeled 1, 2, 3, 4, 5, 6 such that: 1 is opposite 6, 2 is opposite 5, and 3 is opposite 4. The cube is positioned with face 1 on top and face 2 facing north. The cube is rolled northward (in the direction face 2 is facing) once, then rolled eastward once. After these two rolls, which face is on top?
Concept Notes
Cube & Diceā Rules & Concept
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Core Concept
Read this first ā the foundation of the topic
A cube is a three-dimensional object with 6 faces, 12 edges, and 8 vertices. Each face is a square. In SSC CGL exams, cube and dice questions test your ability to visualize how a flat pattern folds into a 3D shape or how a cube looks when rotated.
Key Rules for Cubes:
1.
Opposite faces never touch each other when the cube is folded
2. Adjacent faces share a common edge
3. When a cube is cut, count the pieces formed
4.
In dice problems, opposite faces always add up to 7 (1-6, 2-5, 3-4)
Main Question Types:
- Net to Cube: Given a flat pattern, identify which cube it forms
- Cube Views: Different views of the same cube from various angles
- Dice Problems: Find opposite faces or adjacent faces
- Cube Cutting: Calculate pieces when cube is cut by planes
Shortcut for Net Problems:
Use the 'Corner Method' - pick any corner in the net and trace which three faces meet at that corner. In the answer choices, the same three faces must meet at one corner. This eliminates wrong options quickly.
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Worked Example
Solve this step-by-step before moving on
1
Step 1
Identify which faces are opposite to each other in the net.
2
Step 2
Faces that are separated by exactly one face in between are opposite.
3
Step 3
In the net A-B-C-D, face A is opposite to face C (one face B in between).
4
Step 4
Face E is above B, so E is opposite to F (which is below C).
5
Step 5
Face B is opposite to face D.
6
Step 6
Since A is at bottom, its opposite face C will be at top.
Answer: Face C
For Dice Problems:
Remember the standard dice pattern: 1 opposite 6, 2 opposite 5, 3 opposite 4. If you see faces 1, 2, 3 meeting at a corner, you know 6, 5, 4 meet at the opposite corner.
Cube Cutting Formula:
If a cube is cut by n planes parallel to faces: Total pieces = (nā + 1) Ć (nā + 1) Ć (nā + 1), where nā, nā, nā are cuts along length, breadth, and height.
Common Mistake: Students often confuse adjacent faces with opposite faces. Remember - opposite faces never appear together in any single view of a cube. If two faces are visible together in a view, they cannot be opposite faces.
Key Points to Remember
A cube has 6 faces, 12 edges, and 8 vertices with each face being a perfect square
Opposite faces in a cube never share an edge or vertex with each other
In standard dice, opposite faces always sum to 7: (1,6), (2,5), (3,4)
Net to cube problems: faces separated by one face in between are opposite
Corner method: three faces meeting at any corner must be consistent in all views
Cube cutting formula: pieces = (cuts+1) along each dimension multiplied together
Adjacent faces share a common edge and can be seen together in cube views
If two faces appear together in any view, they cannot be opposite faces
Exam-Specific Tips
Standard dice opposite pairs sum to 7: 1-6, 2-5, 3-4
A cube has exactly 6 faces, 12 edges, and 8 vertices
Each vertex of a cube is formed by exactly 3 faces meeting together
Maximum 3 faces of a cube can be visible from any single viewpoint
In net problems, faces separated by exactly one face are opposite
Cube cutting by n parallel planes creates (n+1) pieces in that direction
Each face of a cube is adjacent to exactly 4 other faces
Each edge of a cube is shared by exactly 2 faces
60-Second Revision ā Cube & Dice
Remember: Opposite faces never appear together in any cube view
Formula: Dice opposite pairs always sum to 7 (1-6, 2-5, 3-4)
Trick: Use corner method - trace three faces meeting at any corner
Pattern: In nets, faces with one face gap between them are opposite
Cutting: Total pieces = (cuts+1) multiplied for each dimension
Trap: Don't confuse adjacent faces with opposite faces
Quick check: Maximum 3 faces visible from any single angle