NTSE MAT Cube and Dices MCQs Set A

Direction :  The outer border of width 1 cm of a cube with side 5 cm is painted yellow on each side and the remaining space enclosed by this 1 cm path is painted pink. This cube is now cut into 125 smaller cubes of each side 1 cm. The smaller cubes so obtained are now separated.

Question: -  How Many smaller cubes have all the surfaces uncloured?         

• a) 0
• b) 9
• c) 18
• d) 27

Answer: 27

Direction :  The outer border of width 1 cm of a cube with side 5 cm is painted yellow on each side and the remaining space enclosed by this 1 cm path is painted pink. This cube is now cut into 125 smaller cubes of each side 1 cm. The smaller cubes so obtained are now separated.

Question: :- How many smaller cubes have three surfaces coloured ?      

• a) 2
• b) 4
• c) 8
• d) 10

Answer: 8

Direction :  The outer border of width 1 cm of a cube with side 5 cm is painted yellow on each side and the remaining space enclosed by this 1 cm path is painted pink. This cube is now cut into 125 smaller cubes of each side 1 cm. The smaller cubes so obtained are now separated.

Question:   How many cubes have at least two surfaces coloured yellow ?    

• a) 24
• b) 44
• c) 48
• d) 96

Answer: 44

Direction :  The outer border of width 1 cm of a cube with side 5 cm is painted yellow on each side and the remaining space enclosed by this 1 cm path is painted pink. This cube is now cut into 125 smaller cubes of each side 1 cm. The smaller cubes so obtained are now separated.

Question:   How many cubes have one face coloured pink and an adjacent face yellow ?

• a) 0
• b) 1
• c) 2
• d) 4

Answer: 0

Direction :  The outer border of width 1 cm of a cube with side 5 cm is painted yellow on each side and the remaining space enclosed by this 1 cm path is painted pink. This cube is now cut into 125 smaller cubes of each side 1 cm. The smaller cubes so obtained are now separated.

Question:  How many cubes have at least one face coloured ?

• a) 27
• b) 98
• c) 48
• d) 121

Answer: 98

Directions :  A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves among the place parallel to the red faces. One place is then cut into four equal cubes and the other one into 32 equal cubes.

Question: How many cubes do not have any coloured face ?

• a) 0
• b) 16
• c) 4
• d) 8

Answer: 4

Directions :  A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves among the place parallel to the red faces. One place is then cut into four equal cubes and the other one into 32 equal cubes.

Question: How many cubes do not have any red face ?

• a) 8
• b) 16
• c) 20
• d) 24

Answer: 16

Directions :  A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves among the place parallel to the red faces. One place is then cut into four equal cubes and the other one into 32 equal cubes.

Question: How many cubes have at least two coloured face ?

• a) 20
• b) 24
• c) 28
• d) 32

Answer: 20

Directions :  A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves among the place parallel to the red faces. One place is then cut into four equal cubes and the other one into 32 equal cubes.

Question:  How many cubes have each a yellow face with other faces without colour ?

• a) 4
• b) 14
• c) 17
• d) 20

Answer: 4

Directions :  A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves among the place parallel to the red faces. One place is then cut into four equal cubes and the other one into 32 equal cubes.

Question:  How many cubes have at least one face painted blue ?

• a) 4
• b) 14
• c) 17
• d) 20

Answer: 17

More Questions...........................

Directions : A cube is coloured organ on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following question based on the above statements.

Question: How many cubes have at least one face coloured pink ?

• a) 1
• b) 9
• c) 16
• d) 15

Answer: 15

Directions : A cube is coloured organ on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following question based on the above statements.

Question:   How many cubes have all the faces uncoloured ?

• a) 24
• b) 36
• c) 48
• d) 64

Answer: 48

Directions : A cube is coloured organ on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following question based on the above statements.

Question: How many cubes have at least two faces coloured ?

• a) 19
• b) 20
• c) 21
• d) 23

Answer: 21

Directions : A cube is coloured organ on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following question based on the above statements.

Question:  How many cubes are coloured orange on one face and have the remaining faces uncoloured ?

• a) 8
• b) 12
• c) 14
• d) 16

Answer: 16

Directions : A cube is coloured organ on one face, pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now answer the following question based on the above statements.

Question:  How many cubes one coloured silver on one face, orange or pink on another face and have four uncoloured faces ?

• a) 8
• b) 10
• c) 12
• d) 16

Answer: 8

Direction : The six faces of a cube are coloured black, brown, green red, white and blue, such that

(i) Red is opposite black

(ii) Green is between red and black

(iii) Blue is adjacent to white

(iv) Brown is adjacent to blue

(v) Red is at the bottom

Answer the following questions based on this information

Question:  Which colour is opposite brown ? 

• a) White
• b) Red
• c) Green
• d) Blue

Answer: White

Direction : The six faces of a cube are coloured black, brown, green red, white and blue, such that

(i) Red is opposite black

(ii) Green is between red and black

(iii) Blue is adjacent to white

(iv) Brown is adjacent to blue

(v) Red is at the bottom

Answer the following questions based on this information

Question: The three adjacent colour brown ?

• a) Black, Blue, Red
• b) Blue, Brown, White
• c) Black, Red, White
• d) All of these

Answer: All of these

Direction : The six faces of a cube are coloured black, brown, green red, white and blue, such that

(i) Red is opposite black

(ii) Green is between red and black

(iii) Blue is adjacent to white

(iv) Brown is adjacent to blue

(v) Red is at the bottom

Answer the following questions based on this information

Question: Which of the following can be deduced from (i) and (v) ?

• a) Black is on the top
• b) Blue is on the top
• c) Brown is on the top
• d) Brown is opposite Black

Answer: Black is on the top

Direction : A cuboids of dimensions (12 cm × 8 cm × 2 cm) is painted black on both the surfaces of dimensions (8 cm × 2cm), green on the surfaces of dimensions (12 cm × 8 cm). and red on the surfaces of dimensions (12cm × 2cm). Now the black is divided into various smaller cubes of side 2 cm. each. The smaller cubes so obtained are separated.

Question: - How many cubes will have all three colour black, green and red each at least on one side ?

• a) 16
• b) 12
• c) 10
• d) 8

Answer: 16

Direction : A cuboids of dimensions (12 cm × 8 cm × 2 cm) is painted black on both the surfaces of dimensions (8 cm × 2cm), green on the surfaces of dimensions (12 cm × 8 cm). and red on the surfaces of dimensions (12cm × 2cm). Now the black is divided into various smaller cubes of side 2 cm. each. The smaller cubes so obtained are separated.

Question:  How many cubes will be formed ? 

• a) 6
• b) 12
• c) 16
• d) 24

Answer: 24

Direction : A cuboids of dimensions (12 cm × 8 cm × 2 cm) is painted black on both the surfaces of dimensions (8 cm × 2cm), green on the surfaces of dimensions (12 cm × 8 cm). and red on the surfaces of dimensions (12cm × 2cm). Now the black is divided into various smaller cubes of side 2 cm. each. The smaller cubes so obtained are separated.

Question:  If cubes having only black as well as green colour are removed then how many cubes will be left ?            

• a) 4
• b) 8
• c) 16
• d) 30

Answer: 16

Direction : A cuboids of dimensions (12 cm × 8 cm × 2 cm) is painted black on both the surfaces of dimensions (8 cm × 2cm), green on the surfaces of dimensions (12 cm × 8 cm). and red on the surfaces of dimensions (12cm × 2cm). Now the black is divided into various smaller cubes of side 2 cm. each. The smaller cubes so obtained are separated.

Question: How many cubes will have 4 colourd sided and 2 sides without colour ?

• a) 8
• b) 4
• c) 16
• d) 10

Answer: 4

Direction : A cuboids of dimensions (12 cm × 8 cm × 2 cm) is painted black on both the surfaces of dimensions (8 cm × 2cm), green on the surfaces of dimensions (12 cm × 8 cm). and red on the surfaces of dimensions (12cm × 2cm). Now the black is divided into various smaller cubes of side 2 cm. each. The smaller cubes so obtained are separated.

Question:  How many cubes will have two sides with green colour and remaining sided without any colour ? 

• a) 12
• b) 10
• c) 8
• d) 4

Answer: 8

Direction : A cuboids of dimensions (12 cm × 8 cm × 2 cm) is painted black on both the surfaces of dimensions (8 cm × 2cm), green on the surfaces of dimensions (12 cm × 8 cm). and red on the surfaces of dimensions (12cm × 2cm). Now the black is divided into various smaller cubes of side 2 cm. each. The smaller cubes so obtained are separated.

Question:  How many cubes will have all three colour black, green and red each at least on one side ?        

• a) 16
• b) 12
• c) 10
• d) 8

Answer: 16

Direction : A cuboids of dimensions (12 cm × 8 cm × 2 cm) is painted black on both the surfaces of dimensions (8 cm × 2cm), green on the surfaces of dimensions (12 cm × 8 cm). and red on the surfaces of dimensions (12cm × 2cm). Now the black is divided into various smaller cubes of side 2 cm. each. The smaller cubes so obtained are separated.

Question:  If cubes having only black as well as green colour are removed then how many cubes will be left ?  

• a) 4
• b) 8
• c) 16
• d) 30

Answer: 16