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In such questions one or more than one
cube is given and the questions are based on
the number of corners, their colour, dimension,
points indicated on the dimensions etc.
PRACTICETEST
1. Two positions of a dice are show below:
When three (3) dots are at the top, how
many will be at the bottom?
1) 1 2) 2 3) 4 4) 5
2. Six sides of a block are coloured Green,
Blue, Red, Yellow, Orange and White in the
following manner.
When Blue is on the top, which colour will
be at the bottom?
1) Orange 2) Red
3) White 4) Yellow
3. A cubical block with designs in its faces
is presented as viewed from different direc-
tions. Find the design on the blank face?
(1) (2) (3) (4)
4. Two positions of a block are shown be-
low. Each of the four sides has a cross line,
which is not found on the upper or the lower
side. Which of the response figures (1), (2), (3)
and (4) is correct?
5. The sides of a cube show the colours of a
rainbow. Two positions of the cube are shown
below. Which of the colours of rainbow is left
out?
Problems on Dice & Cube
4)
2)1)
3)
1) Indigo 2) Green
3) Violet 4) Yellow
6. A cube, on whose sides letters have been
written, is shown below in different positions
as can be seen from different directions. Find
the missing letter?
1) S 2) D 3) Y 4) W
7. Two positions of a parallepiped are shown
below. When the number three will be on the
top side of the cube, which number will be at
the bottom?
1) 1 2) 4 3) 5 4) 6
8. Two positions of a cube are shown be-
low. When the number four will be at the bot-
tom, which number will be at the top?
1) b 2) 6 3) 4 4) 5
9. Two positions of a dice are shown below.
When there are two circles at the bottom, the
number of circles at the top will be
1) 5 2) 2 3) 3 4) 6
10. Two positions of a dice are shown below.
When 4 is at the bottom, which number will be
on the top?
1) 1 2) 2 3) 5 4) 6
11. In a dice a, b, c and d, are written on the
adjacent face, in a clockwise order and e and f
at the top and bottom. When c is at top, what
will be at the bottom?
1) a 2) c 3) e 4) b
12. Two positions of a block are given below:
When ten is at the bottom, what number
will be at the top?
1) 8 2) 1 2 3) 6 4) 4
13. Two positions of a block are shown be-
low:
When six is at the bottom, what number
will be at the top?
1) 1 2) 4 3) 5 4) 2
14.
15. Two positions of a dice with 1 to 6 dots
on its sides are shown below. If the dice is rest-
ing on the side with three dots, what will be
the number of dots on the side at the top?
1) 1 or 5 2) 2
3) 3 4) 5
16. Two positions of a block are given below.
When I is at the top, which number will be at
the bottom?
1) 3 2) 6 3) 2 4) 1
17. Two positions of a block are shown be-
low. When 2 is at the bottom, which number
will be at the top?
1) 1 2) 2 3) 3 4) 4
Directions: Questions 18 to 20 are based on
the information given below.
The six faces of a cube are coloured black,
brown, green, red, white and blue.
(i) Red is opposite to black
(ii) Green is between red and black
(iii) Blue is adjascent to white
(iv) Brown is adjascent to blue
(v) Red is at the bottom
18. Which colour is opposite to brown
(1) White (2) Red (3) Green (4)Blue
19. The four adjascent colours are
(1) black, blue, brown, red
(2) black, blue, brown, white
(4) black, brown, red, white
20. Which of the following can be deduced
from (i) and (v) ?
(1) Black is on the top
(2) Blue is on the top
(3) Brown is on the top
(4) Brown is opposite to black.
Directions: (Qs 21 to 30) A solid cube of each
side 8 cms, has been painted red, blue and black
on pairs of opposite faces. It is then cut into
cubical blocks of each side 2 cms.
21. How many cubes have no face painted?
1) 0 2) 4 3) 8 4) 1 2
22. How many cubes have only one face
painted?
1) 8 2) 1 6 3) 2 4 4) 2 8
23. How many cubes have only two faces
painted?
1) 8 2) 1 6 3) 2 0 4) 2 4
24. How many cubes have only three faces
painted?
1) 0 2) 4 3) 6 4) 8
25. How many cubes have three faces painted
with different colours?
1) 0 2) 4 3) 8 4) 1 2
26. How many cubes have two faces painted
red and black and all other faces unpainted?
1) 4 2) 8 3) 1 6 4) 3 2
27. How many cubes have only one face
painted red and all other faces unpainted?
1) 4 2) 8 3) 1 2 4) 1 6
28. How many cubes have two faces painted
black?
1) 2 2) 4 3) 8 4) None
29. How many cubes have one face painted
blue and one face painted red? (the other faces
may be painted or unpainte4)
1) 1 6 2) 1 2 3) 8 4) 0
30. How many cubes are there in all?
1) 6 4 2) 5 6 3) 4 0 4) 3 2
ANSWERS
1. (4) 2. (4) 3. (2) 4. (2) 5. (3) 6. (3) 7. (1) 8.(1)
9. (1) 10. (1) 11. (1) 12. (2) 13. (3) 14. (3) 15. (1) 16.(2)
17. (4) 18. (1) 19. (4) 20. (1) 21.(3) 22. (3) 23. (4) 24. (4)
25. (3) 26. (2) 27. (2) 28.(4) 29.(1) 30. (1)

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Dice & cubes

  • 1. In such questions one or more than one cube is given and the questions are based on the number of corners, their colour, dimension, points indicated on the dimensions etc. PRACTICETEST 1. Two positions of a dice are show below: When three (3) dots are at the top, how many will be at the bottom? 1) 1 2) 2 3) 4 4) 5 2. Six sides of a block are coloured Green, Blue, Red, Yellow, Orange and White in the following manner. When Blue is on the top, which colour will be at the bottom? 1) Orange 2) Red 3) White 4) Yellow 3. A cubical block with designs in its faces is presented as viewed from different direc- tions. Find the design on the blank face? (1) (2) (3) (4) 4. Two positions of a block are shown be- low. Each of the four sides has a cross line, which is not found on the upper or the lower side. Which of the response figures (1), (2), (3) and (4) is correct? 5. The sides of a cube show the colours of a rainbow. Two positions of the cube are shown below. Which of the colours of rainbow is left out? Problems on Dice & Cube 4) 2)1) 3)
  • 2. 1) Indigo 2) Green 3) Violet 4) Yellow 6. A cube, on whose sides letters have been written, is shown below in different positions as can be seen from different directions. Find the missing letter? 1) S 2) D 3) Y 4) W 7. Two positions of a parallepiped are shown below. When the number three will be on the top side of the cube, which number will be at the bottom? 1) 1 2) 4 3) 5 4) 6 8. Two positions of a cube are shown be- low. When the number four will be at the bot- tom, which number will be at the top? 1) b 2) 6 3) 4 4) 5 9. Two positions of a dice are shown below. When there are two circles at the bottom, the number of circles at the top will be 1) 5 2) 2 3) 3 4) 6 10. Two positions of a dice are shown below. When 4 is at the bottom, which number will be on the top? 1) 1 2) 2 3) 5 4) 6 11. In a dice a, b, c and d, are written on the adjacent face, in a clockwise order and e and f at the top and bottom. When c is at top, what will be at the bottom? 1) a 2) c 3) e 4) b
  • 3. 12. Two positions of a block are given below: When ten is at the bottom, what number will be at the top? 1) 8 2) 1 2 3) 6 4) 4 13. Two positions of a block are shown be- low: When six is at the bottom, what number will be at the top? 1) 1 2) 4 3) 5 4) 2 14. 15. Two positions of a dice with 1 to 6 dots on its sides are shown below. If the dice is rest- ing on the side with three dots, what will be the number of dots on the side at the top? 1) 1 or 5 2) 2 3) 3 4) 5 16. Two positions of a block are given below. When I is at the top, which number will be at the bottom? 1) 3 2) 6 3) 2 4) 1 17. Two positions of a block are shown be- low. When 2 is at the bottom, which number will be at the top? 1) 1 2) 2 3) 3 4) 4 Directions: Questions 18 to 20 are based on the information given below. The six faces of a cube are coloured black, brown, green, red, white and blue. (i) Red is opposite to black (ii) Green is between red and black (iii) Blue is adjascent to white (iv) Brown is adjascent to blue (v) Red is at the bottom
  • 4. 18. Which colour is opposite to brown (1) White (2) Red (3) Green (4)Blue 19. The four adjascent colours are (1) black, blue, brown, red (2) black, blue, brown, white (4) black, brown, red, white 20. Which of the following can be deduced from (i) and (v) ? (1) Black is on the top (2) Blue is on the top (3) Brown is on the top (4) Brown is opposite to black. Directions: (Qs 21 to 30) A solid cube of each side 8 cms, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cms. 21. How many cubes have no face painted? 1) 0 2) 4 3) 8 4) 1 2 22. How many cubes have only one face painted? 1) 8 2) 1 6 3) 2 4 4) 2 8 23. How many cubes have only two faces painted? 1) 8 2) 1 6 3) 2 0 4) 2 4 24. How many cubes have only three faces painted? 1) 0 2) 4 3) 6 4) 8 25. How many cubes have three faces painted with different colours? 1) 0 2) 4 3) 8 4) 1 2 26. How many cubes have two faces painted red and black and all other faces unpainted? 1) 4 2) 8 3) 1 6 4) 3 2 27. How many cubes have only one face painted red and all other faces unpainted? 1) 4 2) 8 3) 1 2 4) 1 6 28. How many cubes have two faces painted black? 1) 2 2) 4 3) 8 4) None 29. How many cubes have one face painted blue and one face painted red? (the other faces may be painted or unpainte4) 1) 1 6 2) 1 2 3) 8 4) 0 30. How many cubes are there in all? 1) 6 4 2) 5 6 3) 4 0 4) 3 2 ANSWERS 1. (4) 2. (4) 3. (2) 4. (2) 5. (3) 6. (3) 7. (1) 8.(1) 9. (1) 10. (1) 11. (1) 12. (2) 13. (3) 14. (3) 15. (1) 16.(2) 17. (4) 18. (1) 19. (4) 20. (1) 21.(3) 22. (3) 23. (4) 24. (4) 25. (3) 26. (2) 27. (2) 28.(4) 29.(1) 30. (1)