Question 1

A 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

In a cube, there are three pairs of opposite faces. Given two pairs, the third pair can be determined by elimination.

Question 2

When a standard die is placed on a table, the top face shows 3. Which of the following faces is definitely NOT visible from the top, front, and right side simultaneously?

Accepted Answer

On a standard die, opposite faces sum to 7. If top is 3, bottom is 4. From any external viewpoint, only 3 faces of a cube are visible at once.

Question 3

A die is rolled and lands showing 5 on top. The face touching the table is opposite to 5. On a standard die, what is the sum of the numbers on the four vertical faces (the faces you can see from the side)?

Accepted Answer

On a standard die, opposite faces sum to 7. The four vertical faces are all faces except top and bottom. Their sum can be calculated from the total of all faces minus top and bottom.

Question 4

Two dice are placed side by side. The left die shows 2 on top and 3 facing you. The right die shows 4 on top and 6 facing you. On a standard die, what is the sum of the numbers on the bottom faces of both dice?

Accepted Answer

On a standard die, opposite faces sum to 7. The bottom face is opposite to the top face. Calculate the bottom of each die separately and sum them.

Question 5

A standard die shows opposite faces summing to 7. If a die is placed with 4 on top and 1 facing north, which number faces south?

Accepted Answer

This question tests knowledge of standard die properties and spatial orientation in three dimensions.

Question 6

A cube is unfolded into a net. The net shows: a central square with squares attached to all four sides, and one square attached above the top square. If the central square is labeled 'A', the square directly above it is 'B', and the square to the right is 'C', then when the cube is folded, which face is opposite to face A?

Accepted Answer

This question tests the ability to mentally fold a net back into a cube and identify opposite faces.

Question 7

Two dice are placed side by side. The left die shows 3 on top and 4 facing you. The right die shows 2 on top and 6 facing you. If both dice are standard (opposite faces sum to 7), how many faces are hidden from view in total?

Accepted Answer

This question tests counting of hidden faces and understanding of standard die properties across multiple dice.

SSC GD Constable Cube & Dice

Cube & Dice— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Cube & Dice — Practice Questions

60-Second Revision — Cube & Dice