Question 1

A standard cube has faces numbered 1 to 6. If face 1 is opposite to face 6, and face 2 is opposite to face 5, then which face is opposite to face 3?

Accepted Answer

This tests the fundamental property of a cube: opposite faces are fixed pairs. Given two pairs of opposite faces, the remaining pair can be deduced by elimination.

Question 2

A cube has six faces. Three faces meeting at one corner are colored red, blue, and green respectively. How many faces are NOT colored?

Accepted Answer

This tests understanding of cube geometry: specifically, how many faces meet at a corner and the logical deduction of uncolored faces.

Question 3

A cube is unfolded into a net. One face shows a star (★), and an adjacent face shows a circle (●). If the star face is opposite to a blank face, which of the following cannot be opposite to the circle?

Accepted Answer

This tests understanding of cube nets and which faces are adjacent versus opposite when a cube is folded.

Question 4

A standard die is placed on a table. The face showing 6 is on top, and the face showing 3 is facing you. Which face is on the bottom of the die?

Accepted Answer

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

Question 5

A die shows faces with 1, 2, 3, 4, 5, and 6 dots. When face 1 is on top and face 2 faces you, which face is on the bottom?

Accepted Answer

This tests spatial visualization of a cube in 3D space and the ability to determine opposite faces given two known face positions.

Question 6

A cube has six faces with different symbols: ★, ●, ■, ▲, ◆, and ○. The following are known: ★ is opposite ●, ■ is opposite ▲, and ◆ is opposite ○. The cube is positioned with ★ on top and ■ facing you. The cube is then tilted 90° forward (away from you). After tilting, which symbol is now facing you?

Accepted Answer

This question tests spatial rotation of a cube with symbol tracking and forward tilt rotation.

Question 7

A cube has faces labeled 1 through 6. It is known that: 1 is opposite 2, 3 is opposite 4, and 5 is opposite 6. The cube is placed with face 1 facing north and face 3 facing up. The cube is then rotated 90° clockwise (when viewed from above) around the vertical axis. After this rotation, which face is now facing north?

Accepted Answer

This question tests spatial rotation of a cube with known opposite-face pairs and directional tracking.

Question 8

A standard die is rolled and lands with face value 3 on top. The die is then rolled again and lands with face value 5 on top. Before the first roll, the die was positioned such that faces 1 and 6 were on the left and right respectively. After the first roll (showing 3 on top), which face is now on the bottom?

Accepted Answer

This question tests understanding of die structure (opposite faces sum to 7) and spatial tracking through rotations.

Question 9

A cube has six faces. On one face, the number 1 is written. On the face opposite to it, the number 6 is written. On another face, the number 2 is written. On the face opposite to it, the number 5 is written. The remaining two faces have numbers 3 and 4 written on them, and they are also opposite to each other. When the cube is placed such that face 1 is on top and face 2 is facing you, which number is on the bottom face?

Accepted Answer

This question tests the ability to mentally rotate a cube and track opposite face relationships under specific orientation constraints.

SBI PO Cube & Dice

SBI PO Cube & Dice — Past Exam Questions

Cube & Dice— Rules & Concept

Key Points to Remember

Exam-Specific Tips

60-Second Revision — Cube & Dice