Instructions to Candidates1. Immediately after the commencement of the Examination check

that this question booklet does not have any unprinted or torn ormissing pages or items etc. If so, get it replaced by anotherQuestion Booklet.

2. The sealed question booklet containing 90 questions enclosedwith the OMR answer sheet is given to you.

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4. All questions are compulsory, each question carry one mark.5. During the examination,

• Read the questions carefully.• Determine the correct answer from out of the four available

choices given under each question.• Completely darken/shade the relevant oval against question

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Question No. 20, then darken OMR answer sheet using blue/black ball point pen as follows.

20. 1 2 3 4 (This is an example only)

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Question Booklet Sl. No.GMAT(U)

DEPARTMENT OF STATE EDUCATIONAL RESEARCH AND TRAININGNO. 4, 100 FT. RING ROAD, BANASHANKARI, 3RD STAGE, BANGALORE – 560 085

NTSE / NMMS EXAMINATION, NOVEMBER 2011

PAPER – I CLASS – 8 GENERAL MENTAL ABILITY TEST

2

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3

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Questions 1 – 3Directions : Find the wrong number in the

given number series.

1. 8, 15, 24, 35, 48, 621) 82) 243) 354) 62

2. 130, 222, 342, 520, 7381) 2222) 3423) 5204) 738

3. 326, 166, 86, 56, 26, 161) 1662) 863) 564) 26

Questions 4 – 8Directions : Count the number of specified

geometric shapes in the givenfigures.

4. How many rectangles are there in thegiven figure?

1) 102) 93) 64) 5

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10 (1

9 (2

6 (3

5 (4

4

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5. How many squares are there in the givenfigure?

1) 122) 113) 104) 8

6. How many triangles are there in thegiven figure?

1) 162) 123) 104) 8

7. How many parallelograms are there inthe given figure?

1) 62) 73) 94) 10

12 (111 (210 (3

8 (4

16 (112 (210 (3

8 (4

6 (17 (29 (3

10 (4

5

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8. How many semicircles are there in thegiven figure?

1) 82) 10

3) 12

4) 16

Questions 9 – 11

Directions: The following questions are

based on the given matrix. The

value of each letter is the product

of its row and column numbers.

Example: The value of letter “N” is 4×3=12

9. As per directions given, find the group ofletters with the lowest total.

2 3 4

2

3

4

B M T

A E O

G N P

Columns����������

Row

s��������

1) BOAT2) TAME3) GATE4) TENT

8 (110 (212 (3

16 (4

2 3 4

2

3

4

B M T

A E O

G N P

Columns����������

Row

s��������

BOAT (1

TAME (2GATE (3

TENT (4

6

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10. As per directions given, find the groupof letters with the highest total.1) ATPOG2) BMNET3) PEGNO4) MAETB

11. As per directions given, sum of letters“ABGENO” is1) 612) 573) 514) 41

Questions 12 – 16

Directions : In the following questions, threenumbers / pair of numbers / groupof letters are alike, while one isdifferent. Identify the one whichis different.

12.1) 1082) 1203) 2044) 218

13.1) 22, 682) 20, 583) 18, 564) 14, 44

14.1) 125, 102) 216, 93) 343, 104) 729, 18

15.1) J H E A C F2) V T Q M O R3) S Q N R T W4) N L I E G J

16.1) STYLUS 2) CRYING3) PHYSIC 4) RHYTHM

BMNET (2 ATPOG (1MAETB (4 PEGNO (3

57 (2 61 (1

41 (4 51 (3

.12108 (1120 (2204 (3218 (4

.1322, 68 (120, 58 (218, 56 (314, 44 (4

.14

216, 9 (2 125, 10 (1729, 18 (4 343, 10 (3

.15J H E A C F (1V T Q M O R (2S Q N R T W (3N L I E G J (4

.16 CRYING (2 STYLUS (1RHYTHM (4 PHYSIC (3

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Questions 17 – 18

Directions: In the following questions,

three figures are alike, while one

is different. Identify the one

which is different.

17.

18.

8

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Questions 19 – 21

Directions : In the following questions, one of

the rules below has been applied

to the set of numbers. Identify the

correct rule applied to set of

numbers in each question.

I) Subtract twice the number from its square

II) Subtract square of the number from its

cube

III) Add half of the number to its square

IV) Add three to the cube of a number

19. 18, 48, 100, 186

1) I 2) II 3) III 4) IV

20. 18, 39, 68, 105

1) I 2) II 3) III 4) IV

21. 4, 11, 30, 67

1) I 2) II 3) III 4) IV

Questions 22 – 23Directions: In place of (*) insert the correct

sequence of signs, choosing fromthe alternatives, to make a correctequation.

22. 40 * 30 * 50 * 20

1) + , = , – 2) – , = , +3) = , + , – 4) + , – , =

23. 60 * 12 * 8 * 5 * 8

1) + , = , × , – 2) – , = , × , +3) – , + , = , × 4) = , × , + , –

18, 48, 100, 186 .19

IV (4 III (3 II (2 I (1

18, 39, 68, 105 .20

IV (4 III (3 II (2 I (1

4, 11, 30, 67 .21 IV (4 III (3 II (2 I (1

40 * 30 * 50 * 20 .22– , = , + (2 + , = , – (1+ , – , = (4 = , + , – (3

60 * 12 * 8 * 5 * 8 .23

– , = , × , + (2 + , = , × , – (1= , × , + , – (4 – , + , = , × (3

9

GMAT(U) �������Questions 24 – 25

Directions: When the numbers and the signsare interchanged as given in the

question, find which of the

following equations are correct.

24. 4 and 2; – and ×

1) 6 – 4 × 8 = 2

2) 8 – 2 × 6 = 4

3) 12 × 8 – 2 = 4

4) 16 × 8 – 4 = 2

25. 3 and 6; + and ÷

1) 72 + 9 ÷ 6 = 3

2) 24 + 8 ÷ 6 = 3

3) 24 ÷ 12 + 3 = 6

4) 32 + 4 ÷ 3 = 6

Question 26

Directions: When the signs are changed as

shown, which of the following

equations is correct ?

– to ×× to ÷÷ to +

+ to =

26.

1) 8 – 2 + 6 ÷ 5 × 2

2) 8 ÷ 2 – 6 × 5 + 2

3) 8 × 2 ÷ 6 + 5 – 2

4) 8 + 2 × 6 – 5 ÷ 2

6 – 4 × 8 = 2 (1 8 – 2 × 6 = 4 (212 × 8 – 2 = 4 (3

16 × 8 – 4 = 2 (4

72 + 9 ÷ 6 = 3 (1

24 + 8 ÷ 6 = 3 (2

24 ÷ 12 + 3 = 6 (3

32 + 4 ÷ 3 = 6 (4

.26

8 – 2 + 6 ÷ 5 × 2 (18 ÷ 2 – 6 × 5 + 2 (28 × 2 ÷ 6 + 5 – 2 (38 + 2 × 6 – 5 ÷ 2 (4

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Questions 27 – 29Directions: The following questions are

based on the figure below inwhich each geometric shaperepresents a group.

27. Which number represents the studentswho play only cricket ?1) 92) 83) 54) 2

28. Which number represents the students

who play cricket, hockey and basketball?

1) 3

2) 4

3) 6

4) 9

9 (1 8 (2 5 (3 2 (4

3 (1 4 (2 6 (3 9 (4

11

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29. Which of the following choices does “9”

represent?

1) Students who play only cricket and

hockey

2) Students who play hockey only

3) Non-students who play cricket and

hockey

4) Non-students who play only cricket

Questions 30 – 32

Directions: Complete the following letter

series by choosing the correct

sequence from the given

alternatives.

30. r_ss_t_ _uu_v

1) rrttv

2) rsttu

3) srtvt

4) rsstv

31. xy_x_zxy_ _ yz

1) zyzx

2) zxzy

3) yzxz

4) xzyz

32. m_n_nnm_nm_ _

1) mnmnm

2) nmnmn

3) nmnnn

4) mmnmn

r_ss_t_ _uu_v .30

rrttv (1

rsttu (2

srtvt (3

rsstv (4

xy_x_zxy_ _yz .31

zyzx (1

zxzy (2

yzxz (3

xzyz (4

m_n_nnm_nm_ _ .32

mnmnm (1

nmnmn (2

nmnnn (3

mmnmn (4

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Questions 33 – 35Directions: Complete the following number

series by choosing the correctnumber from the givenalternatives.

33. 24, 61, 122, 213, ?, 5091) 2752) 3403) 4254) 460

34. 5, 7, 8, 10, 13, ?, ?, 221) 14, 172) 16, 183) 15, 204) 18, 21

35. 1/5, 2/15, 4/45, ? , 16/4051) 12/60 2) 12/753) 8/125 4) 8/135

Questions 36 – 38Directions: Complete the figural series,

choosing the correct figure from thegiven alternatives.

36.

24, 61, 122, 213, ?, 509 .33

275 (1340 (2 425 (3460 (4

5, 7, 8, 10, 13, ?, ?, 22 .34

14, 17 (116, 18 (2 15, 20 (318, 21 (4

1/5, 2/15, 4/45, ? , 16/405 .35

12/75 (2 12/60 (18/135 (4 8/125 (3

13

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37.

38.

14

GMAT(U) �������Questions 39 – 40Directions: In the following questions,

given is a set of numbers. Fromthe alternatives, choose the setthat is similar to the given set.

39. 67, 128, 2191) 59, 120, 2112) 24, 61, 1223) 16, 54, 1284) 4, 11, 30

40. 324, 144, 2251) 196, 121, 1692) 100, 256, 4843) 441, 900, 3244) 289, 400, 361

Questions 41 – 42Directions: The following questions are

based on addition, where eachletter is given a number code.

41. Find the number which represents L E Tchoosing from the alternatives.

L E M + M E L T 9 9 9 9

1) 4502) 9403) 4054) 504

42. Find the number which represents S E Tchoosing from the alternatives.

E N T + T E N S 1 8 6 7

1) 631 2) 641

3) 436 4) 384

67, 128, 219 .39 59, 120, 211 (1 24, 61, 122 (2 16, 54, 128 (3 4, 11, 30 (4

324, 144, 225 .40196, 121, 169 (1100, 256, 484 (2441, 900, 324 (3

289, 400, 361 (4

L E M + M E L T

9 9 9 9450 (1940 (2405 (3

504 (4

E N T + T E N S 1 8 6 7

641 (2 631 (1384 (4 436 (3

15

GMAT(U) �������Questions 43 – 45Directions: The following questions are

based on figures given below.Each circle represents one item.Match the figure with items inthe questions on the basis oftheir relationship.

43. Villagers, Artists, Accountants1) A2) B3) C4) F

44. Indians, Christians, Sri Lankans1) A2) B3) C4) D

45. Yellow Colour, Sunflowers, Roses1) B2) C3) D4) E

A (1B (2C (3F (4

A (1B (2C (3D (4

B (1C (2D (3

E (4

16

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Questions 46 – 50Directions : Complete the given analogy by

selecting the correct answer

from the alternatives.

46. 16 : 65 :: 36 : ?1) 2172) 1463) 854) 75

47. 5 : 75 :: 10 : ?1) 1002) 2003) 3004) 400

48. 216 : 81 :: 512 : ?

1) 100

2) 64

3) 48

4) 36

49. XZTV : ? :: RTNP : LNHJ

1) TRPN

2) RTNO

3) RPTN

4) RTNP

50. behk : ORUX :: mkig : ?

1) ZXVT

2) WXVT

3) ZXUV

4) NQTV

16 : 65 :: 36 : ? .46

217 (1

146 (2

85 (3

75 (4

5 : 75 :: 10 : ? .47

100 (1

200 (2

300 (3

400 (4

216 : 81 :: 512 : ? .48

100 (1

64 (2

48 (3

36 (4

XZTV : ? :: RTNP : LNHJ .49

TRPN (1

RTNO (2

RPTN (3

RTNP (4

behk : ORUX :: mkig : ? .50

ZXVT (1

WXVT (2

ZXUV (3

NQTV (4

17

GMAT(U) �������

Questions 51 – 53Directions: Complete the given figural

analogy by selecting thecorrect answer from thealternatives.

51.

52.

18

GMAT(U) �������53.

Questions 54 – 56Directions: Find the missing number in the

given matrices.

54. 28 20 1865 36 47126 ? 1041) 442) 423) 404) 32

55. 50 60 9040 30 ?70 30 901) 902) 803) 704) 60

56. 10 ? 815 70 520 75 41) 602) 753) 804) 95

28 20 18 .54 65 36 47 126 ? 104

44 (142 (240 (332 (4

50 60 90 .55 40 30 ? 70 30 90

90 (180 (270 (360 (4

10 ? 8 .56 15 70 5 20 75 4

60 (175 (280 (395 (4

19

GMAT(U) �������Questions 57 – 60Directions: Find the correct mirror image

for the following problemfigures from the alternatives.

57.

58.

59.

20

GMAT(U) �������60.

Questions 61 – 63Directions: The letters in the words given

below are coded using symbols.The symbols are in the same orderas the letters. Identify the symbolsfor each letter and find correctanswer in the following questions.

NEAT – πδβθGAP – μδψBUMP – μλησTIRE – βφξπ

61. PAINT can be coded as1) μθξδπ2) πδξθμ3) πθξδμ4) μπξδθ

62. GAME can be coded as1) βλδψ2) λβψδ3) λδψβ4) ψβδλ

63. The code βηφσλξ represents the word1) BUMPER

2) IMBRUE

3) GARNET

4) NATURE

NEAT – πδβθGAP – μδψBUMP – μλησTIRE – βφξπ

μθξδπ (1πδξθμ (2πθξδμ (3μπξδθ (4

βλδψ (1λβψδ (2λδψβ (3ψβδλ (4

BUMPER (1

IMBRUE (2

GARNET (3

NATURE (4

ξ

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Questions 64 – 67Directions: In the following questions,

numbers in the figures arerelated. Find their relationshipand choose the missing numberfrom the alternatives.

64.

1) 242) 193) 144) 10

65.

1) 242) 303) 364) 42

66.

1) 632) 563) 494) 35

24 (1

19 (2

14 (3

10 (4

22

GMAT(U) �������67.

1) 32) 43) 64) 12

Questions 68 – 71

Directions: Find the missing part of the givenfigure from the alternatives.

68.

69.

70.

23

GMAT(U) �������71.

Question 72Directions: If the parts of the figure in thequestion given below are joined, so that the dotsare in the centre of the figure, find which oneof the following figures given as alternatives isformed.

72.

Questions 73 – 74Directions: In the following questions, a wordis coded as shown. Find how the given wordcan be represented in the same code.

73. If H E A T is coded as J H C W then F I R E

can be represented as:

1) S R V V 2) H L T H

3) U V E R 4) I L U HH L T H (2 S R V V (1I L U H (4 U V E R (3

24

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74. If WATER is coded as JNGRE then

S T E A M can be represented as:

1) H G V Z N

2) E G R N J

3) F G R N Z

4) Z G N R F

Questions 75 – 77 :Directions:

A, B, C, D and E are students in a collegea) A and B study both Physics and

Chemistryb) C and D study both Chemistry and

Mathematicsc) D and A study both Electronics and

Physicsd) E and B study both Mathematics and

Electronics

75. Which student studies the most numberof subjects ?1) E2) D3) B4) C

76. Common subject A, D and C study is :1) Chemistry2) Mathematics3) Physics4) Electronics

77. The pair of students who study only twosubjects are:1) A, D 2) B, C3) C, E 4) E, D

H G V Z N (1E G R N J (2F G R N Z (3

Z G N R F (4

E (1D (2B (3

C (4

B, C (2 A, D (1

E, D (4 C, E (3

25

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Questions 78 – 79

Directions : In the following questions two

figures are given as problem figures. Find

which of the following alternative figures

would be formed, if the first figure is

superimposed on the second figure.

78.

79.

26

GMAT(U) �������Questions 80 – 81 :Directions: In the following questions aproblem figure is given. The problem figure ishidden in one of the figures given asalternatives. Find the figure in which theproblem figure is hidden.

80.

81.

Question 82 :

Directions: Pankaj starts from point A and walkseast to point B. From point B he walks south topoint C. From point C he walks northeast to pointD. From point D he walks north to point E.

Which of the following diagrams representPankaj’s route?

82.

27

GMAT(U) �������

Questions 83 – 84 :

Directions: A bus starts from the school and

travels 2 kms west to reach the cricket stadium.

After which it takes a right turn and travels 4

kms to reach the hostel. The bus then takes a

left turn and travels 2 kms to reach the football

stadium.

83. How far did the bus travel from the

school to the football stadium?

1) 10 kms 2) 8 kms

3) 6 kms 4) 4 kms

84. Which direction is the school withreference to the football stadium ?1) South-East2) North-East3) South-West4) North-West

Question 85:Directions: When the question figure is foldedinto a cube, find which one of the cubes amongthe alternatives is formed.

8 kms (2 10 kms (1

4 kms (4 6 kms (3

South-East (1

North-East (2

South-West (3

North-West (4

85.

28

GMAT(U) �������

Question 86 :Directions: The opposite faces of a cube are asshown.

86. Among the alternatives given, identifywhich one of the figures represents theunfolded cube.

1 2 3 4

3

1 2 4 5

6

3

1 4 2 5

6

3

1 2 4 6

5

3

2 1 4 6

5

Question 87 :

Directions: A man is climbing a pole 100 feet

high. Each minute he climbs up 15 feet but slips

down 10 feet. How many minutes will he take

to reach the top of the pole?

87.

1) 22 2) 19

3) 18 4) 17

Question 88 :

Directions: A 20 feet × 16 feet room is laid withcoloured tiles measuring 1 foot ×1 foot at itsborder. If the width of the border is 1 foot, howmany tiles are there in the border ?

88.1) 72 2) 70

3) 68 4) 64

��

.87

19 (2 22 (1

17 (4 18 (3

���

.8870 (2 72 (1

64 (4 68 (3

6 , 3 5 , 2 4 , 1

.86

29

GMAT(U) �������Question 89 :Directions: The dotted lines in the questionfigures indicate where a sheet of paper is foldedand the shaded part shows the shape in whichthe folded paper is cut. After cutting, if the sheetis unfolded find which one of the figures givenin alternatives appears.

89.

30

GMAT(U) �������

Question 90 :

Directions: If the following question figure is

folded, in three dimensional shapes, find which

one of the shapes among the alternatives appear.

90.

1 2 3 4

31

GMAT(U) �������SPACE FOR ROUGH WORK

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GMAT(U) �������SPACE FOR ROUGH WORK