cube and dice-test · corners, 6 surfaces and 12 edges. if a cube is painted on all of its surfaces...

PAGE # 89

CUBE AND DICE-TEST

CUBES

A cube is three dimensional figure, having 8corners, 6 surfaces and 12 edges. If a cube ispainted on all of its surfaces with any colour andfurther divided into various smaller cubes, we getfollowing results. Smaller cubes with threesurfaces painted will be present on the corners ofthe big cube.

3 33

3

33

3

3 3

3

3

3

1 1

1 1

11

11

11 1

1

2 2

2 2

2

22

2

22

2

2

2

2

22

22

222

22 2

Smaller cubes with two surface painted will bepresent on the edges of the big cube. Smallercubes with one surface painted will be present onthe surfaces of the big cube. Smaller cubes withno surface painted will be present inside the bigcube.

If a cube is painted on all of its surfaces with acolour and then divided into smaller cubes of equalsize then after separation, number of smaller cubesso obtained will be calculated as under :Number of smaller cubes with three surfacespainted = 8Number of smaller cubes with two surfacespainted = (n � 2) × 12

Number of smaller cubes with one surfacespainted = (n � 2)2 × 6

Number of smaller cubes with no surfaces painted= (n � 2)3

Where n = No of divisions on the surfaces of thebigger cube

= cubesmalleroneofedgeoflengthcubebigofedgeoflength

TYPE I

If a cube is painted on all of its surfaces with singlecolour and then divided into various smaller cubesof equal size.

Directions : ( 1 to 4) A cube of side 4 cm is painted black onall of its surfaces and then divided into varioussmaller cubes of side 1 cm each. The smallercubes so obtained are separated.

Total cubes of obtained = 64111

444

Here n = 41

4

cubesmallofside

cubebigofside

Ex 1. How many smaller cubes have three surfaces

painted ?

(A) 4 (B) 8

(C) 16 (D) 24

Sol. (B) Number of smaller cubes with three surfaces

painted = 8

Ex 2. How many smaller cubes have two surfaces

painted ?

(A) 4 (B) 8

(C) 16 (D) 24

Sol. (D) Number of smaller cubes with two surfaces

painted = (n � 2) × 12 = (4 � 2) × 12 = 24

Ex 3. How many smaller cubes have only one surface

painted ?

(A) 8 (B) 16

(C) 24 (D) 32

Sol. (C) Number of smaller cubes with one surface

painted = (n � 2)2 × 6 = (4 � 2)2 × 6 = 4 × 6 = 24

Ex 4. How many smaller cubes will have no side painted ?

(A) 18 (B) 16

(C) 22 (D) 8

Sol. (D) Number of smaller cubes with no surface

painted = (n � 2)3 = (4 � 2)3 = (2)3 = 8

TYPE II

If a cube is painted on all of its surfaces with

different colours and then divided into various

smaller cubes of equal size.

Directions : ( 5 to 7 ) A cube of side 4 cm is painted black on

the pair of one opposite surfaces, blue on the pair

of another opposite surfaces and red on remaining

pair of opposite surfaces. The cube is now divided

into smaller cubes of equal side of 1 cm each.

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Ex 5. How many smaller cubes have three surfacespainted ?(A) 4 (B) 8(C) 16 (D) 24

Sol. (B) Number of smaller cubes with three surfacespainted = 8(These smaller cubes will have all three surfacespainted with different colour blue, black and red.)

Ex 6. How many smaller cubes have two surfacespainted ?(A) 4 (B) 8(C) 16 (D) 24

Sol. (D) Number of smaller cubes with two surfacespainted = 24. And out of this -(a) Number of cubes with two surfaces paintedwith black and blue colour = 8.(b) Number of cubes with two surfaces paintedwith blue and red colour = 8.(c) Number of cubes with two surfaces paintedwith black and red color = 8.

Ex 7. How many smaller cubes have only one surfacepainted ?(A) 8 (B) 16(C) 24 (D) 32

Sol. (C) Number of smaller cubes with one surfacepainted = 24. And out of this -(a) Number of cubes with one surface paintedwith black colour =8.(b) Number of cubes with one surface paintedwith blue colour = 8.(c) Number of cubes with one surface paintedwith red colour = 8.

TYPE III

If a cube is painted on its surfaces in such a waythat one pair of opposite surfaces is left unpainted.

Directions : ( 8 to 11 ) A cube of side 4 cm is painted red onthe pair of one opposite surfaces, green on thepair of another opposite surfaces and one pair ofopposite surfaces is left unpainted. Now the cubeis divided into 64 smaller cubes of side 1 cm each.


Sol. (A) Number of smaller cubes with three surfacespainted = 0 (Because each smaller cube at thecorner is attached to a surface which is unpainted.)


Sol. (C) Number of smaller cubes with two surfacespainted = Number of cubes present at the corners+ Numbers of cubes present at 4 edges= 8 + (n � 2) × 4 = 8 + 8 = 16


Sol. (D) Number of smaller cubes with one surfacepainted = Number of cubes present at the 8 edges+ number of cubes present at the four surfaces=(n � 2) × 8 + (n � 2)2 × 4

= 2 × 8 + 4 × 4 = 16 + 16 = 32

Ex 11. How many smaller cubes will have no side painted?(A) 18 (B) 16(C) 22 (D) 8

Sol. (B) Number of smaller cubes with no side painted= Number of cubes on the two unpainted surfaces +number of cubes present inside the cube.= (n � 2)2 × 2 + (n � 2)3 = 4 × 2 + (2)3 = 8 + 8 = 16.

TYPE IV

If a cube is painted on its surfaces in such a waythat one pair of adjacent surfaces is left unpainted.

Directions : (12 to 15 )A cube of side 4 cm is painted red onthe pair of one adjacent surfaces, green on thepair of other adjacent surfaces and two adjacentsurfaces are left unpainted. Now the cube is dividedinto 64 smaller cubes of side 1 cm each.


PAGE # 91

Sol. (A) Number of smaller cubes with three surfacespainted = Number of smaller cubes at two corners= 2


Sol. (D) Number of smaller cubes with two surfacespainted = Number of smaller cubes at four corners+ Number of smaller cubes at 5 edges.= 4 + (n � 2) × 5 = 4 + 2 × 5

= 4 + 10 = 14


Sol. (D) Number of smaller cubes with one surfacepainted = Number of smaller cubes at foursurfaces + Number of smaller cubes at 6 edges +Number of smaller cubes at two corners.= (n � 2)2 × 4 + (n � 2) × 6 + 2

= 4 × 4 + 2 × 6 + 2 = 16 + 12 = 28 + 2 = 30

Ex 15. How many smaller cubes will have no side painted?(A) 18 (B) 16(C) 22 (D) 8

Sol. (A) Number of smaller cubes with no surfacespainted = Number of smaller cubes from insidethe big cube + Number of cubes at two surfaces +Number of cubes at one edge.= (n � 2)3 + (n � 2)2 × 2 + (n � 2)

= (2)3 + (2)2 × + 2

= 8 + 8 + 2 = 18

DICES

Type-I

General Dice : In a general dice the sum of numberson the any two adjacent faces is �7�.Standard Dice : In a standard dice the sum ofnumbers on the opposite faces is '7'.

Ex 16. Which number is opposite 4 in a standard dicegiven below ?

41

5

(A) 1 (B) 3(C) 5 (D) Can�t be determined

Sol. Clearly , from the standard dice the sum ofnumbers on the opposite faces is '7', so numberopposite to 4 is 3.

Type-II

Ex 17. The figures given below show the two differentpositions of a dice. Which number will appearopposite to number 2 ?.

(A) 3 (B) 4(C) 5 (D) 6

Sol. (C) The above question,where only two positions ofa dice are given, can easilybe solved with thefollowing method.

Step I. The dice, when unfolded, will appear as shown inthe figure given on the right side.

Step II. Write the common number to both the dice in themiddle block. Since common number is 4, hencenumber 4 will appear in the central block.

Step III. Consider the figure (i) and write the first number inthe anti-clockwise direction of number 4,(common number) in block I and second numberin block II. Therefore, numbers 3 and 2 being thefirst and second number to 4 in anticlockwisedirections respectively, will appear in block I & IIrespectively.

Step IV. Consider figure (ii) and wire first and secondnumber in the anticlock-wise direction to number4, (common number) in block (III) & (IV). Hencenumbers 6 and 5 will appear in the blocks III and IVrespectively.

Step V. Write remaining number in the remaining block.Therefore, number 1 will come in the remainingblock. Now, from the unfolded figures we find thatnumber opposite to 6 is 3, number opposite to 2 is5 and number opposite to 4 is 1. Therefore, option(C) is our answer.( Short Trick : From the given dice, we will take thecommon number as the base and then in itsrespect move clockwise direction and write asfollows : 4 � 2 � 3

4 � 5 � 6.Here,we find that number opposite to 6 is 3, numberopposite to 2 is 5 and number opposite to 4 isremaining number 1.Therefore, option (C) is our answer. )

Ex 18. On the basis of two figures of dice, you have to tellwhat number will be on the opposite face of number5 ?

(A) 1 (B) 2(C) 4 (D) 6

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Sol. (D) The above question where only two positionsof a dice are given, can easily be solved with thefollowing method :If in the given dice, there are two numbers common,then uncommon numbers will always be oppositeof each other.Therefore, option (D) is our answer.

Type-III

Ex 19. From the following figures of dice, find whichnumber will come in place of �?�

(A) 4 (B) 5(C) 2 (D) 3

Sol. (D) If the above dice is unfolded, it will look like asthe figure (i) given below.

Figure (i)

Now the number in place of �?� can be obtained by

making a slight change in the figure as given here.Now comparing figure (ii) with third dice as above,we get that number in place of ? is 3.

Figure (ii)

Type-IV

Ex 20. A dice has been thrown four times and producesfollowing results.

Which number will appear opposite to the number3 ?(A) 4 (B) 5(C) 6 (D) 1

Sol. (A) From the figures (i), (ii) and (iv) we find thatnumbers 6, 1, 5 and 2 appear on the adjacentsurfaces to the number 3. Therefore, number 4will be opposite to number 3.

Type-V

Ex 21. Which of the following dices is identical to theunfolded figure as shown here ?

(X)

(A) (B)

(C) (D)

Sol. (A) From the unfolded figure of dice, we find thatnumber opposite to 2 is 4, for 5 it is 3 and for 1 it is6. From this result we can definitely say that figure(B), (C) and (D) can not be the answer figure asnumbers lying on the opposite pair of surfaces arepresent on the adjacent surfaces.

EXERCISE

Directions : (1 to 5) A cube is coloured orange on one face,pink on the opposite face, brown on one face andsilver on a face adjacent to the brown face. Theother two faces are left uncoloured. It is then cutinto 125 smaller cubes of equal size. Now answerthe following questions based on the abovestatements.

1. How many cubes have at least one face colouredpink ?(A) 1 (B) 9(C) 16 (D) 25

2. How many cubes have all the faces uncoloured ?(A) 24 (B) 36(C) 48 (D) 64

3. How many cubes have at least two faces coloured ?(A) 19 (B) 20(C) 21 (D) 23

4. How many cubes are coloured orange on one faceand have the remaining faces uncoloured ?(A) 8 (B) 12(C) 14 (D) 16

5. How many cubes one coloured silver on one face,orange or pink on another face and have fouruncoloured faces ?(A) 8 (B) 10(C) 12 (D) 16

PAGE # 93

Directions : (6 to 11) A cube is painted red on two adjacentsurfaces and black on the surfaces opposite tored surfaces and green on the remaining faces.Now the cube is cut into sixty four smaller cubes ofequal size.

6. How many smaller cubes have only one surfacepainted ?(A) 8 (B) 16(C) 24 (D) 32

7. How many smaller cubes will have no surfacepainted ?(A) 0 (B) 4(C) 8 (D) 16

8. How many smaller cubes have less than threesurfaces painted ?(A) 8 (B) 24(C) 28 (D) 48

9. How many smaller cubes have three surfacespainted ?(A) 4 (B) 8(C) 16 (D) 24

10. How many smaller cubes with two surfacespainted have one face green and one of theadjacent faces black or red ?(A) 8 (B) 16(C) 24 (D) 28

11. How many smaller cubes have at least one surfacepainted with green colour ?(A) 8 (B) 24(C) 32 (D) 56

Directions : (12 to 16) A cube of 4 cm has been painted onits surfaces in such a way that two oppositesurfaces have been painted blue and two adjacentsurfaces have been painted red. Two remainingsurfaces have been left unpainted. Now the cubeis cut into smaller cubes of side 1 cm each.

12. How many cubes will have no side painted ?(A) 18 (B) 16(C) 22 (D) 8

13. How many cubes will have at least red colour onits surfaces ?(A) 20 (B) 22(C) 28 (D) 32

14. How many cubes will have at least blue colour onits surfaces ?(A) 20 (B) 8(C) 24 (D) 32

15. How many cubes will have only two surfacespainted with red and blue colour respectively ?(A) 8 (B) 12(C) 24 (D) 30

16. How many cubes will have three surfaces coloured ?(A) 3 (B) 4(C) 2 (D) 16

Directions : (17 to 21) 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 seperated.

17. How many smaller cubes have all the surfaces

uncoloured ?

(A) 0 (B) 9

(C) 18 (D) 27

18. How many smaller cubes have three surfaces

coloured ?

(A) 2 (B) 4

(C) 8 (D) 10

19. How many cubes have at least two surfaces

coloured yellow ?

(A) 24 (B) 44

(C) 48 (D) 96

20. How many cubes have one face coloured pink and

an adjacent face yellow ?

(A) 0 (B) 1

(C) 2 (D) 4

21. How many cubes have at least one face coloured ?

(A) 27 (B) 98

(C) 48 (D) 121

Directions : (22 to 31) A solid cube has been painted yellow,blue and black on pairs of opposite faces. Thecube is then cut into 36 smaller cubes such that32 cubes are of the same size while 4 others areof bigger sizes. Also no faces of any of the biggercubes is painted blue.

22. How many cubes have at least one face paintedblue ?(A) 0 (B) 8(C) 16 (D) 32

23. How many cubes have only one faces painted ?(A) 24 (B) 20(C) 8 (D) 12

24. How many cubes have only two faces painted ?(A) 24 (B) 20(C) 16 (D) 8

25. How many cubes have atleast two faces painted ?(A) 36 (B) 34(C) 28 (D) 24

26. How many cubes have only three faces painted ?(A) 8 (B) 4(C) 2 (D) 0

PAGE # 94

27. How many cubes do not have any of their facespainted yellow ?(A) 0 (B) 4(C) 8 (D) 16

28. How many cubes have at least one of their facespainted black ?(A) 0 (B) 8(C) 16 (D) 20

29. How many cubes have at least one of their facespainted yellow or blue ?(A) 36 (B) 32(C) 16 (D) 0

30. How many cubes have no face painted ?(A) 8 (B) 4(C) 1 (D) 0

31. How many cubes have two faces painted yellowand black respectively ?(A) 0 (B) 8(C) 12 (D) 16

Directions : (32 to 35) Some equalcubes are arranged in theform of a solid block asshown in the adjacentfigure. All the visiblesufaces of the block (exceptthe bottom) are thenpainted.

32. How many cubes do not have any of the facespainted ?(A) 27 (B) 8(C) 10 (D) 12

33. How many cubes have one face painted ?(A) 9 (B) 24(C) 22 (D) 20

34. How many cubes have only two faces painted ?(A) 0 (B) 16(C) 20 (D) 24

35. How many cubes have only three faces painted ?(A) 4 (B) 12(C) 6 (D) 20

Directions : (36 to 40) A cuboid of dimensions(6 cm 4 cm 1 cm) is painted black on both thesurfaces of dimensions (4 cm 1 cm), green on thesurfaces of dimensions (6 cm 4 cm). and red onthe surfaces of dimensions (6 cm 1 cm). Now theblock is divided into various smaller cubes of side1 cm. each. The smaller cubes so obtained areseparated.

36. How many cubes will have all three colours black,green and red each at least on one side?(A) 16 (B) 12(C) 10 (D) 8

37. How many cubes will be formed?(A) 6 (B) 12(C) 16 (D) 24

38. If cubes having only black as well as green colourare removed then how many cubes will be left?(A) 4 (B) 8(C) 16 (D) 30

39. How many cubes will have 4 coloured sides and2 sides without colour?(A) 8 (B) 4(C) 16 (D) 10

40. How many cubes will have two sides with greencolour and remaining sides without any colour?(A) 12 (B) 10(C) 8 (D) 4

41. Which alphabet is opposite D ?

(A) E (B) C(C) F (D) A

42. What should be the number opposite 4 ?

(i) (ii) (iii)

(A) 5 (B) 1(C) 3 (D) 2

43.

(i) (ii)

(iii) (iv)Which letter will be opposite to letter D ?(A) A (B) B(C) E (D) F

Directions : (44 to 45) The figure (X) given below is theunfolded position of a cubical dice. In each of thefollowing questions this unfolded figure is followedby four different figures of dice. You have to selectthe figure which is identical to the figure (X).

PAGE # 95

44. (X)

(A) (B)

(B) (D)

45. (X)

(A) (B)

(C) (D)

Directions : (46 to 48) In each of the following questions,select the correct option for the question asked.

(i) (ii)

46. Which number will come opposite to number 2?(A) 5 (B) 1(C) 6 (D) 3



49. On the basis of two figures of dice, you have to tell whatnumber will be on the opposite face of number 5?

(i) (ii)

(A) 1 (B) 2(C) 4 (D) 6

50. Which symbol will appear on the opposite surfaceto the symbol x?

(A) (B) =

(C) (D) O

51. Three positions of the same dice are given below.Observe the figures carefully and tell which numberwill come in place of �?�

(i)

16 3

(ii)

35 4

(iii)

42 ?

(A) 1 (B) 6(C) 3 (D) 5

52. On the basis of the following figures you have totell which number will come in place of �?�

(i)

36 1

(ii)

42 6

(iii)

?1 5

(A) 2 (B) 3(C) 6 (D) 4

Directions : (53 to 55) Choose from the alternatives, theboxes that will be formed when figure (X) is folded:

53. (X)

(A) (B)

(C) (D)

54. (X)

+

(A) (B) +

(C) + (D)

PAGE # 96

55. (X)

(A) (B)

(C) (D)

Direction : (56) The six faces of a cube have been markedwith numbers 1, 2, 3, 4, 5 and 6 respectively. Thiscube is rolled down three times. The threepositions are given. Choose the figure that will beformed when the cube is unfolded.

56.

(A) (B)

(C) (D)

57. Which number is opposite 3 in a standard dicegiven below ?

(A) 1 (B) 4(C) 5 (D) Can�t be determined

58. Which number is opposite 4 ?

(A) 5 (B) 3(C) 2 (D) 1

Directions : (59) In the following question four positions ofthe same dice have been shown. You have to seethese figures and select the number opposite tothe number as asked in each question.

59.

(i) (ii)

(iii) (iv)Which number is opposite to number 5?(A) 6 (B) 5(C) 1 (D) 3

Directions : (60 to 64) Choose the cube from the optionsthat will unfold to give the figure on the left

60.X

M

M

M MX

X

(A) (B) (C) (D) (E)

61.

4 1 8

3

7

9

(A) (B) (C) (D) (E)

981 14

7

7 87 48

7

62.

D

8

(A) (B) (C) (D) (E)

8 8 D

63.

B

(A) (B) (C) (D) (E)

B

PAGE # 97

64.

J

(A) (B) (C) (D) (E)

J J

Directions : (65 to 68) In each of the following questions, adiagram has been given which can be folded intoa cube. The entries given in the squares indicatethe entries on the face of the cube. In each questiona number or a letter has been given . Of the fouralternatives given below it, you have to find the onethat would appear on the face opposite to it in thecube.

65. Which letter is opposite Q ?

Q

O P LNM

(A) L (B) M(C) N (D) P

66. Which number/letter is opposite 2 ?

3 I CAB2

(A) A (B) C(C) 1 (D) 3

67. Which number/letter is opposite O?

N M 2

L

I O

(A) L (B) M(C) N (D) 2

68. Which letter is opposite R?

Q R

S P

U T

(A) P (B) S(C) T (D) U

98PAGE # 98

ANSWER KEY

FORCE AND NEWTON�S LAW OF MOTION(PHYSICS)

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans. B C C B A B D A ACD B C C C C CQue. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Ans. B D A A A C C D B B B B A D CQue. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

Ans. B C B A A C B D A C A B D A AQue. 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Ans. D D CD D A D D C B A,C C A,B,C B B BQue. 61 62 63 64 65 66 67 68 69Ans. B A C C D C B B C

CARBON(CHEMISTRY)

Ques. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Ans. C C B B B A D A C B C D C B B

Ques. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Ans. B A C B C B B A C C D C A B C

Ques. 31 32 33 34 35 36 37 38 39 40 41Ans. C B C A B D C B C A A

NUMBER SYSTEM(MATHEMATICS)

Q. 1 2 3 4 5 6 7 8 9 10

Ans. B A B A D A D C B A

Q. 11 12 13 14 15 16 17 18 19 20

Ans. A A D A B A D B C C

Q. 21 22 23 24 25 26 27 28 29 30

Ans. B C A C C A B D B B

Q. 31 32 33 34 35 36 37 38 39 40

Ans. C B A A B D C C D C

Q. 41 42 43 44 45 46 47 48 49 50

Ans. C A D D A A C C C D

Q. 51 52 53 54 55 56 57 58 59 60

Ans. C D C C C A C B D D

Q. 61 62 63 64 65 66 67 68 69 70

Ans. A B B A A A B B B C

Q. 71 72 73 74 75 76 77 78 79 80

Ans. D A B C A A,D B D B A

Q. 81 82 83 84 85 86 87 88 89 90

Ans. D A B B B B B D D B

Q. 91

Ans. C

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99PAGE # 99

TRIGONOMETRY(MATHEMATICS)

Q. 1 2 3 4 5 6 7 8 9 10

Ans. B B C B A A C C C C

Q. 11 12 13 14 15 16 17 18 19 20

Ans. D A B B D B D A D B

Q. 21 22 23 24 25 26 27 28 29 30

Ans. C B D B C C D C A A

Q. 31 32 33 34 35 36 37 38 39 40

Ans. B D A D B A B B D D

Q. 41 42

Ans. A B

PROTOPLASM (BIOLOGY)

Q. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15A. C D C A B A A C A D B A A D DQ. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30A. C B D B B C D A D A C A A A BQ. 31 32 33 34A. A B D A

SERIES COMPLETION(MENTAL ABILITY)

EXERCISE-1 (Number Series)

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans. C D D A C D B C C C D C C B DQue. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Ans. B C C C B A B D D A C B B C AQue. 31 32 33 34 35

Ans. C C C D D

EXERCISE- 2 (Alphabet Series)

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans. D A D C C A D C D B D C C C DQue. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Ans. C A B C C C A B A C D B C D B

EXERCISE- 3 (Letter Repeating Series)

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans. D D A A C B A C D D C B D C BQue. 16 17 18 19 20 21 22 23 24 25 26

Ans. C A A A C D D D A B D

100PAGE # 100

EXERCISE- 4 (Missing Term In Figure)

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans. B D B D C C C D A D D B C A BQue. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Ans. B C A B B A C A D D A C D B A

Que. 31 32 33 34 35 36 37 38 39 40

Ans. B B A C A C B C D B

PUZZLE-TEST(MENTAL ABILITY)

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Ans. A B D C A D C C C C C D C C B

Que. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Ans. C C D D C D D B B C A A D C DQue. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45Ans. D C B A B A D A D C D A C B DQue. 46 47 48 49 50 51 52 53 54 55 56 57 58Ans. C A D B D D D A C A A D B

CALENDAR AND CLOCK-TEST(MENTAL ABILITY)

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans. D C B D D B C B C C A B C B A

Que. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Ans. B B B B C B C D C B D C B B DQue. 31 32 33 34 35 36 37 38 39 40 41Ans. D B D B A A C A D A C

CUBE AND DICE TEST(MENTAL ABILITY)

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans. D C C D A C C D B B C A C D BQue. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Ans. C D C B A B D D A D C A D C BQue. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45Ans. C D C D C A D C B C B B A D BQue. 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60Ans. D A B C D A B D B D C B A C CQue. 61 62 63 64 65 66 67 68Ans. A D E D C A B B

cube and dice-test · corners, 6 surfaces and 12 edges. if a cube is painted on all of its surfaces...

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