MAT - DICE PROBLEMS - MCQs -10

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🎲 Dice Problems – NMMS & NTSE MCQ Quiz

1. What number is situated directly opposite to face 6?

Position A

Position B

1 2 4 5

Correct Answer: Option B (2)

Detailed Explanation: Comparing both positions of the die, 6 is common to both orientations. In standard dice rules and rotational elimination, the adjacent faces to 6 are 3, 4, and 5. By deducting non-adjacent positions, 2 is confirmed to sit directly opposite to 6.

2. In a standard dice configuration, which number rests opposite to 3?

Standard View

1 2 4 5

Correct Answer: Option C (4)

Detailed Explanation: In standard dice, the sum of opposite faces is always equal to 7. Therefore, 7 − 3 = 4. The number opposite to 3 is 4.

3. Which face lies opposite to 1 when faces 2, 3, 4, and 5 are adjacent to it?

3D Projection

6 5 2 3

Correct Answer: Option A (6)

Detailed Explanation: A cube has 6 total faces. If face 1 is surrounded by 4 adjacent faces (2, 3, 4, 5), only face 6 remains available to be directly opposite to 1.

4. Analyzing the arrangement below, which number is located opposite to 3?

Cube View

4 2 5 1

Correct Answer: Option D (1)

Detailed Explanation: The given perspective shows 3 touching 2, 4, 5, and 6 on adjacent sides. By process of elimination, 1 must be positioned opposite 3.

5. What is the total combined sum of numbers on opposite faces of a standard dice?

Standard Isometric View

6 7 8 9

Correct Answer: Option B (7)

Detailed Explanation: By standard design rule, opposite sides on a standard die add up to 7 (1+6, 2+5, 3+4).

6. What face is opposite to 5 if faces 1 and 3 are common across both dice positions?

Position 1

Position 2

3 2 6 1

Correct Answer: Option C (6)

Detailed Explanation: When two dice positions show two identical common faces (1 and 3), the remaining uncommon faces on both dice are automatically opposite each other. Thus, 6 is opposite to 5.

7. How many adjacent faces surround any single face on a cube?

Cube Geometry

2 3 5 4

Correct Answer: Option D (4)

Detailed Explanation: A standard cube has 6 faces. For any given face, 1 face is directly opposite to it, while the remaining 4 faces surround it on adjacent sides.

8. What number is situated opposite to face 3 in this setup?

3D Projection

6 4 2 1

Correct Answer: Option A (6)

Detailed Explanation: Rotating the faces according to standard non-verbal reasoning rules demonstrates that 6 sits opposite 3.

9. If Red-White and Blue-Yellow are opposite pairs, which color is opposite to Green?

Color Model

Red Yellow Black White

Correct Answer: Option C (Black)

Detailed Explanation: A cube has 3 distinct pairs of opposite faces. Since Red-White forms Pair 1 and Blue-Yellow forms Pair 2, Green must pair with the 6th remaining color, which is Black.

10. When face 2 rotates into the position of face 5, what happens to face 1?

Rotation View

It changes position It stays in place It flips None of these

Correct Answer: Option A (It changes position)

Detailed Explanation: Any rigid spatial rotation of a 3D cube shifts all adjacent connected faces simultaneously. Hence, rotating face 2 to 5 forces face 1 to change its position.