Question 1

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 understanding of opposite faces on a cube using given constraints.

Question 2

A standard die shows opposite faces summing to 7. If face showing 2 is facing you, and face showing 3 is on top, which face is facing away from you?

Accepted Answer

This tests knowledge of standard die configuration and spatial orientation.

Question 3

Two dice are placed such that face A of the first die is adjacent to face B of the second die. If face A shows 3 and face B shows 5, and both dice follow the standard rule (opposite faces sum to 7), which of the following is definitely true?

Accepted Answer

This tests understanding of die properties and spatial relationships between adjacent faces.

Question 4

A cube has six faces labeled with letters: A, B, C, D, E, and F. It is known that A is opposite to B, C is opposite to D, and E is opposite to F. When face A is facing north and face C is facing east, which face is facing down?

Accepted Answer

This tests ability to determine cube orientation using multiple opposite-face constraints.

Question 5

A standard die is placed on a table. The face showing 1 is on top. 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 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 6

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

Accepted Answer

This tests understanding of how a cube divides spatially and which pieces receive paint.

Question 7

A cube has six faces. On one face, the number 1 is written; on the opposite face, the number 6 is written. On another face, the number 2 is written; on its opposite face, the number 5 is written. The remaining two opposite faces have 3 and 4 written on them respectively. 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 visualize opposite faces on a cube and track spatial orientation when the cube is repositioned.

Question 8

A cube has six faces labeled with numbers 1 through 6. It is known that: (i) 1 and 6 are on opposite faces, (ii) 2 and 5 are on opposite faces, (iii) When 1 is on top and 2 is facing you, 3 is on your right. The cube is now placed with 4 on top. Which number is facing you?

Accepted Answer

This question tests the ability to use multiple constraints to determine cube face positions and deduce an unknown face orientation.

Question 9

A standard die has opposite faces summing to 7. A die is placed on a table with face showing '2' on top. The die is rolled forward (away from you) once, then rolled to the right once. After these two rolls, which number is now on top?

Accepted Answer

This question tests the ability to track die face changes through sequential rotations, using the constraint that opposite faces sum to 7.

SSC CPO Cube & Dice

SSC CPO Cube & Dice — Past Exam Questions

Cube & Dice— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Cube & Dice — Practice Questions

60-Second Revision — Cube & Dice