Question 1

A standard die is placed on a table. The face showing 1 is on top, and the face showing 2 is facing you. Which number is on the bottom face of the die?

Accepted Answer

In a standard die, opposite faces always sum to 7. If 1 is on top, then 6 must be on the bottom. This is a fundamental property of all standard dice used in competitive exams.

Question 2

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?

Accepted Answer

This question tests the ability to deduce opposite faces on a cube using given constraints.

Question 3

A cube is painted on all six faces. It is then cut into 8 equal smaller cubes. How many of the smaller cubes have exactly 3 painted faces?

Accepted Answer

This question tests spatial visualization and counting of corner cubes in a divided cube.

Question 4

A cube has six faces labeled A, B, C, D, E, and F. Face A is adjacent to faces B, C, D, and E. Which face is opposite to face A?

Accepted Answer

This question tests logical deduction of opposite faces using adjacency information.

Question 5

A transparent cube has colored dots on each face: Red on top, Blue on bottom, Green on front, Yellow on back, Orange on left, and Purple on right. When you look at the cube from the front-left corner at a 45-degree angle, how many colored faces can you see?

Accepted Answer

This question tests 3D spatial visualization and understanding of visible faces from a specific viewpoint.

Question 6

A cube is painted on all six faces with different colors. The cube is then cut into 27 smaller cubes (3×3×3). How many of these smaller cubes have exactly two painted faces?

Accepted Answer

This question tests the ability to analyze the structure of a subdivided cube and count cubes with specific properties based on their position.

Question 7

A standard cube has faces numbered 1 through 6. When the cube is unfolded into a net, faces 1 and 6 are opposite to each other, faces 2 and 5 are opposite to each other, and faces 3 and 4 are opposite to each other. The cube is now placed on a table with face 2 on top and face 3 facing you. If the cube is rolled forward (away from you) once, then rolled to the right once, which face is now facing you?

Accepted Answer

This question tests the ability to mentally track cube rotations in 3D space while maintaining awareness of opposite face relationships and spatial orientation after multiple sequential rolls.

Question 8

A cube has six faces. On one face, the number 1 is written; on the opposite face, 6 is written. On another face, 2 is written; on its opposite face, 5 is written. The remaining two opposite faces have 3 and 4. When the cube is placed such that 1 is on top and 2 faces you, which number is on your right?

Accepted Answer

This question tests the ability to mentally rotate a cube and determine the position of faces based on given opposite-face constraints.

Question 9

A standard die has opposite faces summing to 7. A die is rolled and lands showing 3 on top. The die is then rolled again and lands showing 5 on top. How many faces of the die have NOT been visible (neither on top nor on bottom) across both rolls?

Accepted Answer

This question tests the ability to track which faces have been exposed versus hidden across multiple die rolls, using the constraint that opposite faces sum to 7.

Question 10

A cube is unfolded into a net. The net shows: Face A (center), with Face B to its right, Face C above it, Face D below it, Face E to the left of A, and Face F attached to the right of B. When the cube is folded, Face A is opposite to which face?

Accepted Answer

This question tests the ability to mentally fold a 2D net into a 3D cube and determine opposite-face relationships from the net structure.

Question 11

A cube has faces labeled 1 through 6. When face 1 is on top and face 2 is facing north, face 3 is on the right. The cube is rotated 90° clockwise (when viewed from above). After this rotation, which face is now facing north?

Accepted Answer

This question tests the ability to track face positions after a 3D rotation, requiring spatial visualization and understanding of rotation axes.

IBPS RRB PO Cube & Dice

Cube & Dice— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Cube & Dice — Practice Questions

60-Second Revision — Cube & Dice