Reasoning Ability - SPLessons

Cubes and Dice Practice Quiz

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Cubes and Dice Practice Quiz

shape Introduction

Logical Reasoning is an important section in the competitive exams throughout the globe. Logical reasoning is primarily designed to test the aptitude skills of the candidates taking the exams. Cubes and Dice related questions are frequently seen in several competitive exams including recruitment exams in India such as SSC CGL, Banking, Railways, and other exams such as CAT, GRE, GMAT, etc. The article Cubes and Dice Practice Quiz lists some practice questions that will apply different concepts of cubes and dice.
What is a Dice? A Dice is a Cube. A cube has 6 squares faces/sides and 8 vertices/corners, and 12 edges. Only 3 sides of a cube are visible at any given time. These sides are known as adjacent sides and can never be to the opposite side of each other. A Dice usually has numbers labelled 1 to 6.

shape Quiz

Directions: (1 – 5)
A cube is colored red on one face, green on the opposite face, yellow on another face and blue on a face adjacent to the yellow face. The other two faces are left uncolored. It is then cut into 125 smaller cubes of equal size.
Answer the following questions based on the above statement
1. How many cubes are uncolored on all the faces?
    A. 27 B. 36 C. 48 D. 64

Answer - Option C
2. How many cubes are coloured blue on one face, red or green on another face and have four uncoloured faces ?
    A. 8 B. 12 C. 16 D. 23

Answer - Option A
3. How many cubes are coloured red on one face, and have the remaining faces uncoloured?
    A. 8 B. 10 C. 12 D. 16

Answer - Option D
4. How many cubes have at least one green face ?
    A. 4 B. 5 C. 16 D. 25

Answer - Option D
5. How many cubes have at least two coloured faces ?
    A. 23 B. 21 C. 20 D. 19

Answer - Option B
6. Two positions of a dice are shown below. If 1 is at the bottom which number will be on the top ?

    A. 4 B. 3 C. 2 D. 5

Answer - Option B
7. If the cube is turned twice to the right, which will be the hidden numbers?

    A. 1, 2, 5 B. 3, 4, 6 C. 1, 2, 6 D. 2, 3, 5

Answer - Option D
8. Twenty-seven cubes are arranged in a block as shown below. How many cubes will be surrounded by other cubes on all sides ?

    A. 3 B. 1 C. 9 D. 6

Answer - Option B
Directions: (1 – 2)
Six sides of a cube are coloured with different colours. Yellow is opposite white and blue is between red and green. One side is black.
1. Which colour is opposite blue ?
    A. red B. black C. green D. None of these

Answer - Option B
2. Which colour does not touch red side ?
    A. green B. yellow C. white D. blue

Answer - Option A
Directions: (3 – 4)
A cube painted blue on all the faces is cut into 125 cubes of equal size. Now answer the following questions :
3. How many cubes are not painted on any face ?
    A. 8 B. 16 C. 36 D. 54

Answer - Option C
4. How many cubes are painted on one face only ?
    A. 8 B. 16 C. 36 D. 54

Answer - Option D
Directions: (5 – 9)
Study the following information and answer the questions given below:
    (i) A rectangular wooden block is having lenght 6 cm, breadth 4 cm and height 1 cm. (ii) Both sides having dimension 4 cm × 1 cm are painted with black colour. (iii)Both sides having dimension 6 cm × 1 cm are painted in red colour. (iv)Both sides with dimension 6 cm × 4 cm are painted in green colour. (v) The block is cut into six equal pairs of 1 cm each (from 6 cm side) and into 4 equal parts of 1 cm each (from 4 cm side).

5. How many cubes will have all three colours black, green and red each at least on one side?
    A. 6 B. 12 C. 10 D. None of these

Answer - Option D
6. How many cubes will be formed ?
    A. 6 B. 12 C. 16 D. 24 of these

Answer - Option D
7. If cubes having only “black as well as green” colour are removed then how many cubes will remain?
    A. 4 B. 8 C. 12 D. None of these

Answer - Option D
8. How many cubes will have two sides with green colour and remaining 4 sides without any colour?
    A. 12 B. 10 C. 8 D. 4

Answer - Option C
9. How many cubes will have 4 coloured sides and 2 sides without colour?
    A. 8 B. 4 C. 16 D. 10

Answer - Option B
Directions: (1 – 5)
Six dices with their top faces erased have been given. The opposite faces of the dices have dots which add up to thirteen. Work out the number of dots on the top faces, according to the question spot your answer from among-st the given alternatives

1. If the odd numbered dices have even number of dots at their bottom faces, what would be the total number of dots?
    A. 20 B. 22 C. 24 D. 18

Answer - Option A
2. If dices I, III and IV have odd number of dots at their top faces, what would be the total number of dots?
    A. 15 B. 18 C. 21 D. 17

Answer - Option D
3. If even numbered dices have odd number of dots at their top faces, what would be the total number of dots?
    A. 19 B. 18 C. 17 D. 16

Answer - Option A
4. If dices I, II and III have odd number of dots on their upper faces and dices IV, V and VI have even number of dots on their bottom faces, then what would be the difference in the total numbers of top face dots between these two sets?
    A. 8 B. 4 C. 0 D. 1

Answer - Option B
5. If dices II, V and VI have even number of dots at their bottom faces, what would be the total number of dots?
    A. 18 B. 20 C. 16 D. 24

Answer - Option A