Question 1

A standard die is placed on a table. The face showing 6 is on top, and the face showing 2 is facing you. Which number is on the bottom face of the die?

Accepted Answer

On a standard die, opposite faces always sum to 7. If 6 is on top, then 1 is on the bottom. If 2 is facing you, then 5 is facing away. The remaining faces are 3 and 4, which are on the left and right sides.

Question 2

A standard die shows faces with 1, 2, 3, 4, 5, and 6 dots. On a standard die, opposite faces always sum to 7. If you see face 2 on top and face 3 facing you, which face is on your right?

Accepted Answer

This question tests spatial visualisation on a cube using the standard die property (opposite faces sum to 7). Given the top face (2) and front face (3), the student must determine the right face using the constraint that opposite faces sum to 7 and the three visible faces must be mutually adjacent.

Question 3

A cube is painted on all six faces with different colours. The cube is then cut into 8 smaller cubes of equal size. How many of the smaller cubes will have exactly 3 faces painted?

Accepted Answer

This question tests understanding of how a cube subdivides when cut. When a cube is cut into 8 equal smaller cubes (a 2×2×2 cut), the smaller cubes are positioned at the 8 corners of the original cube. Only corner cubes have exactly 3 painted faces.

Question 4

A cube has six faces labelled 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 the concept of adjacency and opposition on a cube. If a face is adjacent to four other faces, then the remaining sixth face must be opposite to it. The question requires students to understand that each face of a cube is adjacent to exactly 4 faces and opposite to exactly 1 face.

Question 5

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 fundamental concept of opposite faces on a cube. Given two pairs of opposite faces (1-6 and 2-5), the student must deduce the third pair. Since faces 1, 2, and 3 are three different faces meeting at a corner, and we know 1 is opposite to 6 and 2 is opposite to 5, by elimination face 3 must be opposite to face 4.

Question 6

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 face 1 is on top and face 2 faces you, which face is on the bottom?

Accepted Answer

This question tests the ability to mentally reconstruct a cube's spatial configuration using opposite-face constraints and a specific orientation anchor.

Question 7

A cube has six faces. On one face is a single dot, on the opposite face are six dots. On another face are two dots, and on its opposite face are five dots. The remaining two opposite faces have three and four dots respectively. If the cube is rolled such that the face with one dot is on top and the face with two dots faces you, which face is at the bottom?

Accepted Answer

This question tests the ability to deduce opposite faces on a cube and track their positions through spatial rotation.

Question 8

A cube is unfolded into a net. The net shows six squares arranged as follows: a central square with four squares attached to each of its four sides, and one additional square attached to the top square. The central square is labeled 'A', the four adjacent squares are labeled 'B' (top), 'C' (right), 'D' (bottom), 'E' (left), and the sixth square is labeled 'F' (attached to the top of B). When this net is folded into a cube, which two faces are opposite to each other?

Accepted Answer

This question tests the ability to visualize 3D cube formation from a 2D net and identify opposite faces.

SBI Clerk Cube & Dice

SBI Clerk Cube & Dice — Past Exam Questions

Cube & Dice— Rules & Concept

Key Points to Remember

Exam-Specific Tips

60-Second Revision — Cube & Dice