stage i 2005 ntse paper...stage i 2005 ntse paper directions : in each of the questions 1 to 5,...

Stage I 2005 NTSE PaperDirections : In each of the questions 1 to 5, there is a

number/letter series with one term missingshown by question mark (?). This term is one ofthe alternatives among the four numbers/groupof letters given under it. Find this number/groupof letters and blacken, with pencil, the bubble(circle) of its serial number given against thequestion number on the Answer Sheet

1. 24, 37, 48, 65, (?), 101, 120(A) 80 (B) 90(C) 92 (D) 94

2. 1, 81, 4, (?), 9, 49, 16(A) 60 (B) 62(C) 64 (D) 36

3. 19, 11, 23, 15, (?), 19(A) 24 (B) 25(C) 26 (D) 27

4. TVA, QSC, NPE, (?), HJI(A) MGK (B) KLG(C) KMG (D) GKL

5. ADF, LOQ, BEG, MPR, (?)(A) CHF (B) CHK(C) CFH (D) DGI

Directions : Questions 6 to 10, consist of four sets ofletters, in which one set is different from otherthree in some way or the other. Find out thedifferent set and blacken, with pencil, the bubble(circle) of its serial number against the questionnumber on the Answer Sheet.

6. (A) DFHJ (B) NPRT(C) LNPS (D) RTVX

7. (A) QTFI (B) RUGJ(C) TWIL (D) VXKN

8. (A) ADZW (B) CFXU(C) EGVS (D) GJTQ

9. (A) PNOLM (B) VTURS(C) KIJGH (D) ZXYUW

10. (A) CEGIA (B) GIKMF(C) NPRTL (D) RTVXP

Directions : Questions 11 to 15 are based on letter-series from each of which some of the lettersare missing. The missing letters are given in theproper sequence in one of the alternatives amongthe four given under each question. Find thecorrect alternative in each case and indicate thisby blackening, with pencil, the circle of thecorresponding serial number given against thequestion number on the Answer Sheet

11. p — pq — s — pp —(A) prpq (B) pprq(C) pqrp (D) prqp

12. — yz — x — zx — y(A) xxxy (B) xxyx(C) xyxx (D) yxxx

13. — ca — c — c — bc(A) cbca (B) accb(C) cabc (D) bcca

14. x — x — zxx — y —(A) yxyx (B) yxxx(C) xyxz (D) xxyx

15. a — b — ca — b — c(A) babc (B) acbb(C) cbab (D) bcab

Directions : In Questions 16 to 20, there is a letter-series in the first row and a number-series inthe second row. Each number in the number-series stands for a letter in the letter-series aboveit. In each one of the series, some terms aremissing. You have to find out the missing termsas to what those terms of letter-series/number-series stand for as required in each question,Select the correct alternative for last five missingterms of the series out of four given below theseries and blacken, with pencil, the bubble(circle) of its serial number on the Answer Sheetagainst the question number.

16. — q — — r — — p q — q —1 2 — —3 — 3 — — — — —(A) 2 1 2 1 3 (B) 1 2 1 2 3(C) 1 2 2 1 3 (D) 1 2 3 1 2

17. — f g — f — e — — g — e4 5 — 6 — — 4 — — — — —(A) 5 6 6 4 5 (B) 4 5 6 5 6(C) 5 6 6 5 4 (D) 4 5 6 4 5

18. x — — y y z x — — y — z —2 — 2 3 — 4 — 2 — — — — —(A) 2 3 3 4 2 (B) 2 3 4 2 3(C) 3 2 3 2 3 (D) 4 2 3 2 3

19. m — n — — o m — — — — —— 7 9 — — 2 — 7 — 9 — —(A) m n n n o (B) m n n o o(C) n o o m m (D) o o m m n

20. — b c a — a a — — — — — 4 — 6 — 9 4 — 9 — 4 — —(A) a a b c a (B) a b a b c(C) b c a b c (D) b c a b a

Directions : Each of the following questions 21 to 25expresses some relationship between the firsttwo terms. The same relationship exists in theother set of terms. The missing term (?) iscontained in the four alternatives given belowthe question. Find the correct alternative andblacken, with pencil, the bubble (circle) of itsserial number against the Question No. On theAnswer Sheet.

21. FHIE : MOPL :: TVWX : (?)(A) ZACD (B) ACDZ(C) ACZD (D) ZCAD

22. CXDW : EVFW :: LZMY : (?)(A) NXOW (B) NOXW(C) OWXN (D) OXNW

23. TSRQ : NMLK :: FEDC : (?)(A) ZXYW (B) ZYXW(C) XYZW (D) YZWX

24. 18 : 81 :: 24 : (?)(A) 180 (B) 810(C) 108 (D) 216

25. 16 : 51 :: 65 : (?)(A) 162 (B) 172(C) 196 (D) 198

Directions : Words in Capital letters in Column I arewritten in Small letters according to a codelanguage in Column II . Decode the languageand find out the correct alternative for the givenword in each question. Blacken, with pencil, thebubble (circle) of the serial number of correctalternative in the Answer Sheet against thequestion number.

Column - I Column - IIAPPLE caxzcMANGO zrswbGRAPE zcxewTAILOR asepzuTEACHER xzyvxepELEPHANT rpvzxaxcSNAKE grztxPRIME bxuceSEARCH xqezvy

26. HOOK(A) qrst (B) stvs(C) stlm (D) qrvz

27. HORSE(A) seqvx (B) scqvz(C) eqczx (D) czxbw

28. MORNING(A) esruczr (B) ruzestb(C) esrbuwr (D) rubpqzl

29. SCOOTER(A) sqyzplx (B) qzlmpyt(C) ssqyxep (D) sqzvbrw

30. TORTOISE(A) qxpsepsu (B) pseqxpzu(C) pqlcmmlt (D) seqpptru

Direction : Questions 31 to 35 are based on 'Dice Test'. Numbers from 1 to 6 are placed on differentfaces of the 'Dice'. Blacken, with pencil, thebubble (circle) of the serial number of the correctanswer on the Answer Sheet.

31. The number opposite to 6 is

63 2

3 5 11 6 42 4 2

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


51 3

3 4 24 3 35 2 1

(A) 5 (B) 2(C) 1 (D) 6


63 1

5 3 22 5 34 1 6

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


25 1

1 4 25 6 46 5 3

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


54 6

2 3 41 6 14 5 5

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

Directions : In Questions 36 to 40, there are nine cellsin each rectangle. For each question, there is arule according to which eight cells out of ninecells of the rectangle have been filled. One cellis left empty ( ? ). Find the rule for filling theempty cell and from the four alternatives givenbelow the rectangle, find the one which correctlyfills in the empty cell. Indicate your answer byblackening, with pencil, the bubble (circle) ofthe serial number of correct alternative on theAnswer Sheet against the question number.

36.

3 6 85 8 44 (?)7

(A) 9 (B) 8(C) 7 (D) 6

37.

3 15 47 38 53 5(?)

(A) 15 (B) 18(C) 19 (D) 20

38.

1 2 311 7 5

120 (?)45

(A) 19 (B) 17(C) 16 (D) 15

39.

6 9 54 7 352 34(?)

(A) 100 (B) 110(C) 120 (D) 130

40.

9 729 6488 512 4484 48(?)

(A) 32 (B) 48(C) 64 (D) 80

Directions : Questions 41 to 45 are based on a pyramidof numbers from 1 to 61 arranged as shownbelow :

1

2 3 4

9 8 7 6 5

10 11 12 13 14 15 16

25 24 23 22 21 20 19 18 17

26 27 28 29 30 31 32 33 34 35 36

45 44 43 42 41 40 39 38 37

46 47 48 49 50 51 52

57 56 55 54 53

58 59 60

61In each question, there are two groups ofnumbers on the left of the sign :: which arerelated in some way. The same relationshipexists between the third group and the onemissing group indicated by a blank space witha question mark (?) on it. With the help of theabove pyramid. Find the missing group in eachquestion from amongst the four alternatives givenunder it and blacken, with pencil, the bubble(circle) of the corresponding serial number ofalternative against the question number on theAnswer Sheet

41. 9, 29, 31 : 31, 55, 53 :: 10, 44, 42 : (?)(A) 42, 56, 57 (B) 42, 56, 54(C) 42, 48, 31 (D) 42, 58, 60

42. 10, 28, 29,11:30,12, 13, 31 :: 29, 47, 48, 30 : (?)(A) 31, 49. 50, 32, (B) 49, 31, 32, 50(C) 31, 32, 50, 49 (D) 50, 32, 31, 49

43. 10,12, 22, 24 : 15,13, 21,19 :: 28,30,42, 44 : (?)(A) 33. 31, 41, 39 (B) 31, 33, 39, 41(C) 31, 34, 38, 41 (D) 32, 34, 38, 40

44. 24, 29, 22,11 : 19, 32, 21,14 ::(?):33,40, 31, 20(A) 33, 40, 31, 21 (B) 28, 43, 30, 23(C) 28, 44, 30, 23 (D) 31, 40, 31, 18

45. 10, 44, 42 : 41, 13, 20, 15, 39 ::(?) : 40, 14, 19,16, 38(A) 41, 43, 11 (B) 11, 43, 45(C) 11, 43, 41 (D) 45, 43, 11

Directions : In Questions 46 to 50, in the circles, thereare certain numbers inside/outside themaccording to a particular rule. In each question,one of the circles has a question mark (?) inside/outside. Choose the correct answer to fill in thespace marked (?) from the given alternatives andblacken, with pencil, the corresponding circle ofthe correct answer in the Answer Sheet.

46. 20 84

6

12

? 2110 97 2

8 7

15 13

(A) 38 (B) 30(C) 28 (D) 24

47. 16 54

3

2

20 ?5 76 8

4 6

3 5

(A) 24 (B) 28(C) 32 (D) 36

48. ? 1510

40

8

2 618 1916 13

14 48

7 8

(A) 7 (B) 6(C) 5 (D) 4

49. 24 5045

16

13

27 ?73 6370 54

59 45

53 42

(A) 45 (B) 42(C) 39 (D) 36

50. 5 91

4

16

9 ?25 99 9

16 9

36 9

(A) 2 (B) 4(C) 6 (D) 8

Directions : Questions 51 to 55 are based on thefollowing figure. There are three circles A, B andC in the figure, which represent the numberstudents who got distinction in Physics,Chemistry and Mathematics respectively. Thetotal number of candidates passed is 500. Findout correct answer and blacken with pencil theserial number of the correct alternative on theAnswer Sheet

A

B C

13

11

47 50

42

12 15

51. The total percentage of students who gotdistinction in all the three subjects is :(A) 7.2 (B) 5.2(C) 3.2 (D) 2.2

52. The total percentage of students who gotdistinction is(A) 28 (B) 35(C) 38 (D) 40

53. The percentage of students who got distinctionin Mathematics is(A) 17.8 (B) 18.6(C) 19.2 (D) 20.6

54. The percentage of students who got distinctionin Physics and Chemistry both is(A) 4.6 (B) 6.6(C) 8.6 (D) 10.6

55. The number of students who passed withoutgetting distinction in any subject is(A) 270 (B) 290(C) 310 (D) 330

Questions (56 – 75).Directions : In Questions 56 to 75 blacken, with pencil,

the bubble (circle) of the serial number of correctanswer of each question given as one of the fouralternatives on the Answer Sheet

56. In a group of persons travelling in a bus, 6persons can speak Tamil, 15 can speak Hindiand 6 can speak Gujarati. If 2 persons in thegroup can speak all the three languages, thenhow many total persons are travelling in this bus(A) 21 (B) 22(C) 23 (D) 24

57. The number of boys in a class is three timesthe number of the girls. The total number ofstudents in this class is(A) 41 (B) 42(C) 43 (D) 44

58. A group of 1200 persons including captains andsoldiers is travelling in a train. For every 15soldiers there is one captain. How many captainsare there in the train ?(A) 70 (B) 75(C) 80 (D) 85

59. There are 18 boys in a class whose height isover 160 cm. This number is three fourth of thetotal number of boys in the class. If the numberof boys in the class is two third of the totalnumber of students in the class, then how muchwill be the number of girls in this class ?(A) 24 (B) 18(C) 12 (D) 6

60. A bus starts from city X. The number of femalesin the bus is half of the number of males. In thecity Y, 10 males leave and 5 females enter inthe bus. Now the number of male and femalepassengers becomes equal. How many femaleswere there in the bus in the beginning ?(A) 15 (B) 20(C) 25 (D) 30

61. How many straight lines are there in the followingfigure ?

(A) 3 (B) 5(C) 4 (D) 8

62. A 125 m long train is moving with a speed of 25m per sec. How much time will it take to crossa bridge of length 300 m ?(A) 15 seconds (B) 17 seconds(C) 19 seconds (D) 21 seconds

63. If in a certain code language '76895' is writtenas '77885', then in the same code language,how will 23662' be written(A) 23653 (B) 13663(C) 24652 (D) 23672

64. How many triangles are there in the followingfigure ?

(A) 24 (B) 26(C) 28 (D) 30

65. How many C are there in the following letterseries which are just preceded by P but are notimmediately followed by L ?ACDEPCEFKLCMPCLGKZRDPCDLCPD(A) 1 (B) 2(C) 3 (D) 4

66. In a certain code language if 47 × 53 = 1108,then 97 × 64 = ?(A) 910 (B) 1601(C) 1610 (D) 2204

67. It 'MOHAN' is written as 0305241704 and 'LALITA'is written as 021702251017 then how 'NAMAN'will be written in the same code language ?(A) 0315170317 (B) 0417031603(C) 0317031703 (D) 0417031704

68. Which of the following words cannot be formedby the letters giv en in the word'SUPPLEMENTARY'(A) SUPREME (B) SEPARATE(C) SHELTER (D) SAMPLE

69. If '+' denotes ' ' '–' denotes '+' ' ' denotes '×' '×' denotes ' – 'then 16 + 4 – 3 7 × 10 = ?(A) 10 (B) 15(C) 20 (D) 22

70. Ram walks 2 km in the west from the schoolthen he turns right and walks 3 km, and at lasthe turns right again and walks 6 km. How muchdistance is he from the school now ?(A) 3 km (B) 4 km(C) 5 km (D) 6 km

71. Which word from the following will occur at lastin the dictionary, if the positions of letters s andc are interchanged ?since , surface, sequence, scout.(A) since (B) surface(C) sequence (D) scout.

72. If the following numbers are written in ascendingorder, then what will be the sum of the two middlenumbers ?786, 814, 596, 689, 713, 797, 659, 745(A) 1258 (B) 1485(C) 1458 (D) 1577

73. B is the brother of A. C is the sister of D. If theson of A is the brother of D, then the relation ofB with C is(A) Father (B) Uncle(C) Brother (D) Sister

74. Mohan is 6 years elder to Ram, but 3 yearsyounger to Ramesh. 5 years ago, the age ofRamesh was four times of the age of Ram. Whatis the present age of Ram ?(A) 8 years (B) 14 years(C) 17 years (D) 19 years

75. Six players participate in a game competition.Each player is to play with each other playeronce. How many games will be played by themin total ?(A) 6 (B) 8(C) 12 (D) 15

Questions ( 76 - 80)Directions : On the basis of the following information,

find out the correct answer of each question fromthe given alternatives and blacken, with pencil,the corresponding bubble (circle) on the AnswerSheet.In a family A is younger brother of B and D is theson of B. D is brother of E but E is not son of B.F is grandson of B and C is cousin of E.

76. The relation of C with A is(A) Father (B) Son(C) Mother (D) Brother

77. The relation of A with D is(A) Father (B) Brother(C) Cousin (D) Uncle

78. The relation of C with E is(A) uncle (B) cousin(C) son (D) sister

79. Who is the father of F ?(A) A (B) B(C) C (D) D

80. The relation of E with F is(A) uncle (B) aunt(C) grandfather (D) brother

81. Read the following statements and blacken, withpencil the bubble (circle) of the serial number ofcorrect alternative on the Answer Sheet againstthe question number.

(i) Six persons A, B, C, D, E and F are sitting intwo rows,three in each

(ii) E is not at the end of any row.(iii) D is second left of F.(iv) C is the neighbour of E and sitting diagonally

opposite to D.(v) B is the neighbour of F.

81. Who of the following are sitting diagonallyopposite to each other ?(A) F, C (B) D, A(C) A, C (D) A, F

82. Who is sitting in front of B ?(A) A (B) E(C) C (D) D

83. Who among the following are sitting in the samerow ?(A) A, E (B) E, D(C) C, B (D) A, B

84. Which one of the following groups is sitting in arow ?(A) F, B, C (B) C, E, B(C) D, B, F (D) A, E, F

85. If D and E interchange their positions, then inthe new situation who will be the neighbours ofD ?(A) C, A (B) F, B(C) A, D (D) C, F

Question (86 - 90)Directions : In each of the following Question Nos. 86 to

90, four figures are given. One of these figuresdoes not correlate with the rest of the figures.Find out the figure and blacken, with pencil, thebubble (circle) of its serial number in the AnswerSheet.

86. A F Z E(1) (2) (3) (4)

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

87.(1) (2) (3) (4)

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

88.(1) (2) (3) (4)

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

89.(1) (2) (3) (4)

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

90.(1) (2) (3) (4)

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

Questions (91 – 95)Directions : In Questions 91 to 95, there are two sets of

figures ; one set is of question-figures and thesecond set is of answer-figures. There is somerelationship between the first and the secondfigures of the question-figures set. If there issimilar relationship between the third and fourth

figures of the same set, select the correct figurefrom the set of answer-figures for question mark(?) and blacken, with pencil, the bubble of itsserial number in the Answer Sheet.

91. Question Figures

?Answer Figures

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

92. Question-Figures

Answer Figures

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


Answer -Figures

(A) (B) (C) (D)94. Question-Figures

Answer-Figures

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


Answer -Figures

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

Question (96 –100)Directions : From Question 96 to 100. there aretwo sets of figures, one set contains problem-figures, while the other has answer-figures. Thereis a sequence according to which the problem-figures are arranged. You have to select onefigure from the set of answer -figures which canbe placed in sequence after the set of problem-figures. Blacken, with pencil, the bubble (circle)on the answer sheet corresponding to the correctserial number of the answer-figure selected.

96. Problem -Figures

Answer -Figures

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


Answer-Figure

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


Answer -Figures

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


Answer -Figures

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


Answer -Figures

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

Stage I 2006 NTSE PaperQuestions (1 – 5)Directions : In each of the questions 1 to 5, there is a

number/letter-series with one term missingshown by question mark ( ? ). This term is oneof the alternatives among the four numbers/groupof letters given under it. Find this number/groupof letters and blacken, with pencil, the bubble(circle) of its serial number given against thequestion number on the Answer Sheet.

1. 13, 17, 19, 23, 29, 31, 37, ( ? )(A) 46 (B) 45(C) 43 (D) 41

2. 2, 6, ( ? ), 20, 30, 42, 56(A) 10 (B) 11(C) 12 (D) 14

3. 2, 9, 28, 65, 126, ( ? )(A) 216 (B) 217(C) 218 (D) 219

4. JPE, KRG, LTI, MVK, ( ? )(A) MXN (B) NXM(C) MYN (D) LXM

5. QUB, MVD, IWF, EXH, ( ? )(A) JAY (B) YJA(C) AYJ (D) BYJ

Directions : Questions 6 to 10, consist of four sets ofletters, in which one set is different from otherthree in some way or the other. Find out thisdifferent set and blacken, with pencil, the bubble(circle) of its serial number against the questionnumber on the Answer Sheet.

6. (A) JKMO (B) ABDE(C) GHJL (D) NOQS

7. (A) NLOQ (B) ZXAC(C) MKNP (D) GFHJ

8. (A) KMNI (B) EGHD(C) IKLG (D) PRSN

9. (A) JEHM (B) NILQ(C) GBDJ (D) TORW

10. (A) JFKH (B) HDIF(C) OKPM (D) ZVBX

Questions (11 – 15)Directions : Questions 11 to 15 are based on letter-series

from each of which some of the letters aremissing. The missing letters are given in theproper sequence in one of the alternatives amongthe four given under each question. Find thecorrect alternative in each case and indicate thisby blackening, with pencil, the circle of thecorresponding serial number given against thequestion number on the Answer Sheet.

11. p _ zp _ r _ pz _ q _ pp(A) pqrqp (B) rpqqr(C) pqppr (D) qrppr

12. m _ z _ n _ m _ z(A) mnmz (B) nmzn(C) nmmz (D) mzzn

13. _ p _ ro _ q _ _ p(A) oqrpp (B) rqpor(C) qrpoq (D) oqpro

14. x _ y _ p _ x _ z _ xx(A) xzxyp (B) yzxyz(C) zxypp (D) xzxpp

15. _ l _ n _ l _ m _ ol(A) mnoln (B) lomno(C) mlonl (D) lmoln

Questions (16 –20)Directions : In Questions 16 to 20, there is a letter-series

in the first row and a number-series in the secondrow. Each number in the number-series standsfor a letter in the letter-series above it. In eachone of the series, some terms are missing. Youhave to find out the missing terms as to whatthose terms of letter-series/number-series standfor as required in each question. Select thecorrect alternative for last five missing terms ofthe series out of four given below the series andblacken with pencil, the bubble (circle) of itsserial number on the Answer Sheet against thequestion number.

16. _ q _ r p _ p _ r _ p _3 _ 2 2 3 _ 3 _ _ _ _ _(A) 2 2 1 3 1 (B) 1 2 2 3 1(C) 1 2 3 2 2 (D) 1 3 1 2 2

17. _ n o _ m n _ p _ _6 7 _ 9 6 _ _ _ _ _(A) 7 8 9 6 7 (B) 7 8 6 7 8(C) 6 7 8 6 7 (D) 7 6 9 6 7

18. _ l _ m n _ l _ m _8 _ 6 6 7 _ _ _ _ _(A) 6 7 7 7 8 (B) 6 7 8 7 6(C) 8 8 6 6 7 (D) 8 7 6 7 6

19. a _ b _ d _ _ _ _ _1 1 _ 3 4 1 _ 2 _ 4(A) b b c d a (B) a b c d b(C) b a c d c (D) a a b c d

20. _ s z _ _ _ r _ _ _ _ _7 _ 6 _ 8 _ 7 8 _ 7 _ _(A) s r z s r (B) s z r s z(C) r s z s r (D) r s z s z

Questions (21 – 25)Directions : Each of the following questions 21 to 25

expresses some relationship between the firsttwo terms. The same relationship exists in theother set of terms. The missing term ( ? ) iscontained in the four alternatives given belowthe question. Find the correct alternative andblacken, with pencil, the bubble (circle) of itsserial against the Question No. on the AnswerSheet.

21. XMPC : ZORF : : MBEG : ( ? )(A) OEGJ (B) ODGK(C) PDGJ (D) ODGJ

22. RUVS : DGHE : : ORSP : ( ? )(A) ADEB (B) ABDE(C) AEDB (D) ACDB

23. LRXP : MSYQ : : CIOG : ( ? )(A) DJQH (B) DJPI(C) DJPH (D) CJPH

24. 72 : 27 : : 24 : ( ? )(A) 105 (B) 104(C) 203 (D) 202

25. 8 : 54 : : 64 : ( ? )(A) 220 (B) 250(C) 230 (D) 216

Questions (26 – 30)Directions : Words in Capital letters in Column I are

written in Small letters of English according to acode language in Column II. Decode the languageand find out the correct alternative for the givenword in each question. Blacken, with pencil, thebubble (circle) of the serial number of correctalternative in the Answer Sheet against thequestion number.Column I Column IITAILOR klbzafCLOTH afdkiTIGER lkurzGOAT bfukKITE rlnkBRIGHT lzquikTIDE lkcrBUTTON mqkfkeNAUGHTY bemuikx.

26. TALL(A) ckba (B) kabk(C) akbb (D) akba

27. NATION(A) lblekf (B) lbekfe(C) lffbke (D) fekbkl

28. GOD(A) cuf (B) buf(C) ecu (D) cvf.

29. NIGHT(A) uelgh (B) uelig(C) uelik (D) ueikh

30. KING(A) lenv (B) nelu(C) nflu (D) nfku

Questions (31 – 35)Directions : Questions 31 to 35 are based on ‘Dice Test’.

Numbers from 1 to 6 are placed on different facesof the ‘Dice’. Blacken, with pencil, the bubble(circle) of the serial number of the correct answeron the Answer Sheet.


3

6 2

4

5 6

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


4

6 5

2

4 3

1

5 6

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


3

2 6

3

5 1

(A) 1 (B) 4(C) 5 (D) 6


2

4 3

4

5 6

5

2 1

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


6

1 2

5

2 3

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

Questions (36 – 40)Directions : In Questions 36 to 40, there are nine cells in

each rectangle. For each question, there is arule according to which eight cells out of ninecells of the rectangle have been filled. One cellis left empty ( ? ). Find the rule for filling theempty cell and from the four alternatives givenbelow the rectangle, find the one which correctlyfills in the empty cell. Indicate your answer byblackening, with pencil, the bubble (circle) ofthe serial number of correct alternative on theAnswer Sheet against the question number.

36.

1 10 3

4 41 5

6 ? 7

(A) 36 (B) 49(C) 80 (D) 85

37.

2 1 3

4 2 12

6 3 ?

(A) 9 (B) 18(C) 27 (D) 36

38.

(A) 731 (B) 729(C) 727 (D) 725

39.

0 1 1

2 3 35

4 5 ?

(A) 180 (B) 189(C) 200 (D) 289

40.

10 109 11

12 155 13

2 ? 3

(A) 5 (B) 6(C) 7 (D) 8

Questions (41 – 45)Directions : Questions 41 to 45 are based on a pyramid

of 1 to 61 arranged as shown below :

1

61

3

59

7

55

13

49

21

4131

4

60

6

54

5

53

14

50

20

4032

2

58

8

56

9

57

12

48

22

4230

11

47

23

4329

10

46

24

4428

25

452726

15

51

19

3933

16

52

18

3834

17

3735 36

Question, there are two groups of numbers onthe left of the sign ::, which are related in someway. The same relationship exists between thethird group and the one missing group indicatedby a blank space with a question mark (?) on it.With the help of the above pyramid, find themissing the question from amongst the fouralternatives given under it and blacken withpencil, the bubble (circle) of the correspondingserial number of alternative against the questionnumber on the Answer Sheet.

41. 1, 2, 9, 10 : 1, 4, 5, 16 : : 61, 58, 57, 46 : ( ? )(A) 61, 60, 52, 37 (B) 59, 54, 51, 38(C) 61, 60, 53, 52 (D) 60, 53, 52, 37

42. 3, 7, 8, 9 : 3, 7, 6, 5 : : 59, 55, 56, 57 : (?)(A) 59, 55, 54, 53 (B) 55, 49, 41, 40(C) 59, 60, 54, 50 (D) 59, 55, 49, 50

43. (?) : 16, 15, 19, 18 : : 46, 47, 43, 44 : 52, 51, 39,38(A) 11, 10, 24, 25 (B) 10, 11, 23, 24(C) 10, 11, 12, 13 (D) 10, 13, 12, 11

44. 9, 10, 23, 11 : 5, 16, 19, 15 : : (?) : 53, 52, 39, 51(A) 57, 46, 47, 43 (B) 57, 43, 46, 47(C) 57, 46, 43, 47 (D) 47, 43, 46, 58

45. 10, 11, 12, 22, 23, 24 : 16, 15, 14, 20, 19, 18: :44, 43, 42, 30, 29, 28 : (?)(A) 50, 51, 52, 38, 39, 40(B) 38, 40, 39, 33, 32, 34(C) 38, 39, 40, 50, 51, 52(D) 38, 39, 40, 32, 33, 34

Questions (46 – 50)Directions : In Questions 46 to 50, in the circles, there

are certain numbers inside/outside themaccording to a particular rule. In each question,one of the circles has a question mark (?) inside/outside. Choose the correct answer to fill in thespace marked (?) from the given alternatives andblacken, with pencil, the corresponding circle ofthe correct answer in the Answer Sheet.

46. 59

6

7

54 ?

8

9

32 954

5

1110

(A) 40 (B) 43(C) 72 (D) 78

47. 83

6

8

75 11

2

4

31 ?

8

10

97

(A) 140 (B) 141(C) 143 (D) 144

48. ?

4

8

62 21

7

8

51 37

10

7

155

(A) 16 (B) 17(C) 18 (D) 20

49. 94

7

8

1015 182

364 ?

3

4

28

(A) 7 (B) 6(C) 5 (D) 4

50. 8

8

691 3

5

1

43

?16

15

810

(A) 17 (B) 20(C) 22 (D) 23

Questions (51 – 55)Directions : Questions 51 to 55 are based on the following

diagram. In this diagram there are three sets A,B and C, which represent the married persons,educated people and scientists respectively,living in a colony. The total population of thecolony is 400. Find out the correct answer foreach question and blacken, with pencil, the serialnumber of the correct alternative on the AnswerSheet.

160

136 A

BC

24

51. The percentage of unmarried persons in thecolony is(A) 15 (B) 20(C) 30 (D) 40

52. The percentage of educated married persons inthe colony is(A) 30 (B) 35(C) 40 (D) 45

53. The ratio of the number of scientists and thetotal number of educated persons in the colonyis(A) 1 : 15 (B) 3 : 20(C) 4 : 7 (D) 2 : 11

54. What is the percentage of educated persons inthe colony who are not scientists ?(A) 31 (B) 32(C) 34 (D) 36

55. What percent of the married persons in thecolony are uneducated ?(A) 30 (B) 40(C) 50 (D) 60

Questions (56 – 75)Directions : In Questions 56 to 75 blacken, withpencil the bubble (circle) of the serial number ofcorrect answer of each question given as one ofthe four alternatives on the Answer Sheet.

56. In a group of persons 10 persons can speakHindi, 5 can speak Urdu and 6 can speakEnglish. If 3 persons in the group can speak allthe three languages, how many persons arethere in this group in total ?(A) 12 (B) 15(C) 18 (D) 20

57. The number of boys in a class is six times thenumber of the girls. The total number of studentsin this class is(A) 40 (B) 41(C) 42 (D) 45

58. The total number of students and teachers in aschool is 1065. For a group of every 70 studentsthere is a teacher in the school. The total numberof teachers in this school is(A) 15 (B) 16(C) 17 (D) 18

59. In a row of trees, one tree is fifth from either endof the row. How many trees are there in the row?(A) 8 (B) 9(C) 10 (D) 11

60. How many numbers from 11 to 50 are there whichare exactly divisible by 7 but not by 3 ?(A) 2 (B) 3(C) 4 (D) 5

61. Which of the following Venn diagrams correctlyrepresents Elephants, Horses and Animals ?

(A) (B)

(C) (D)

62. A 250 m long train is moving with a speed of 90km/hour. How much time will it take to cross aplatform of length 600 m ?(A) 20 seconds (B) 30 seconds(C) 32 seconds (D) 34 seconds

63. If in a certain code language 45736 is written as63754, then in the same code language, howwill 23456 be written ?A) 65432 (B) 65234(C) 65332 (D) 63425

64. How many triangles are there in the followingfigure ?

(A) 7 (B) 8(C) 10 (D) 12

65. How many even numbers are there in the followingsequence of numbers which are immediatelyfollowed by an odd number and immediatelypreceded by a even number ?76768932734222355228119(A) 2 (B) 3(C) 4 (D) 5

66. In a certain code language if 41 × 45 = 86, then21 × 25 will be written as(A) 46 (B) 36(C) 26 (D) 25

67. If SOHAN is written as 19 15 08 01 14 andLALITA is written as 12 01 12 09 20 01 thenhow SONATA will be written in the same codelanguage ?(A) 19 14 13 01 20 01(B) 19 14 15 03 20 01(C) 19 15 14 01 20 10(D) 19 15 14 01 20 01

68. Which of the following words cannot be formedby the letters giv en in the word‘MEASUREMENT’ ?(A) MASTER (B) SERVANT(C) SUMMER (D) REST

69. If ‘×’ denotes ‘ ’‘ ’ denotes ‘ – ‘‘+’ denotes ‘ × ‘and ‘ _ ’ denotes ‘ + ‘then the value of 40 × 8 8 – 4 + 2 will be(A) 10 (B) 9(C) 7 (D) 5

70. Rajesh first moves 2 km towards South-Eastand then moves 5 km towards West. He thenmoves 2 km towards North-West and finally 1km towards East. How far is he now from thestarting point ?

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

71. Which of the following names will appear at lastin a telephone directory ?(A) Sangita (B) Saleem(C) Salam (D) Saheb

72. If the following numbers are written in ascendingorder, then what will be the sum of the twonumbers occurring in the middle of the series ?729, 792, 802, 781, 789, 689, 679, 769(A) 1549 (B) 1550(C) 1551 (D) 1552

73. If A is the brother of B, C is the father of D and Bis the father of C, then the relation of C with A is(A) Uncle (B) Brother(C) Nephew (D) Grandfather

74. Ashish is 7 years elder than Arvind. If two yearsago the age of Arvind was 4 years, then what isthe present age of Ashish ?(A) 7 years (B) 9 years(C) 11 years (D) 13 years

75. 8 players participate in a game competition.Each player is to play with each other playeronly once. How many games will be played bythem in all ?(A) 26 (B) 28(C) 30 (D) 32

Questions (76 - 80)Directions : On the basis of the following information,

find out the correct answer of each question fromthe given alternatives and blacken, with pencil,the corresponding bubble (circle) on the AnswerSheet.

In a family A is the brother of B ; C is the fatherof A; D is the brother of E ; B is the mother of Eand F is the son of D.

76. The relation of D with A is(A) Nephew (B) Uncle(C) Brother (D) Sister

77. The relation of B with F is(A) Granddaughter (B) Grandmother(C) Grandfather (D) Daughter

78. The relation of A with E is(A) Uncle (B) Maternal Uncle(C) Nephew (D) Niece

79. The relation of F with E is(A) Nephew (B) Niece(C) Son (D) Daughter

80. The relation of C with E is(A) Grandmother (B) Grandfather(C) Father (D) Mother

Questions (81 – 85)Directions : Read the following statements and blacken,

with pencil, the bubble (circle) of the serialnumber of correct alternative on the AnswerSheet against the question number.(i) A, B, C, D, E and F are sitting on a roundtable.(ii) A is sitting in front of E but right of C.(iii) E is sitting left to B but right to D.(iv) C and E are sitting in the neighbourhood ofB.(v) F is sitting near to D in left.

81. Who is sitting near to A towards right ?(A) F (B) E(C) B (D) C

82. The person sitting left to A is(A) F (B) B(C) D (D) C

83. The person sitting in between A and B is(A) F (B) B(C) C (D) D

84. The person sitting between E and F is(A) A (B) B(C) C (D) D

85. The person in front of D is(A) C (B) B(C) E (D) A

Questions (86 – 90)Directions : In each of the following Question Nos. 86 to

90, four figures are given. One of these figuresdoes not correlate with the rest of the figures.Find out the figure and blacken, with pencil, thebubble (circle) of its serial number in the AnswerSheet.

86.

(1) (2) (3) (4)

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

87.

(1) (2) (3) (4)

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

88.

(1) (2) (3) (4)

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

89.

(1) (2) (3) (4)

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

90.

(1) (2) (3) (4)

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

Questions (91 – 95)Directions : In Questions 91 to 95, there are two sets of

figures ; one set is of question-figures and thesecond set is of answer-figures. There is somerelationship between the first and the secondfigures of the question-figures set. If there issimilar relationship between the third and fourthfigures of the same set, select the correct figurefrom the set of answer-figures for question mark(?) and blacken, with pencil, the bubble of itsserial number in the Answer Sheet.


?

Answer-Figures

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


?

Answer-Figures

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


?A

Answer-Figures

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


?

Answer-Figures

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


?

Answer-Figures

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

Questions (96 – 100)Directions : From Questions 96 to 100, there are two

sets of figures, one set contains problem-figures,while the other has answer-figures. There is asequence according to which the problem-figuresare arranged. You have to select one figure fromthe set of answer-figures which can be placedin sequence after the set of problem-figures.Blacken, with pencil, the bubble (circle) on theAnswer Sheet corresponding to the correct serialnumber of the answer-figure selected.

96. Problem-Figures

o+ o+ o +

+o

Answer-Figures

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

o+ o+

+ o+

+ o

97. Problem-Figures

Answer-Figures

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

98. Problem-Figures

Answer-Figures

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

99. Problem-Figures

Answer-Figures

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

100. Problem-Figures

Answer-Figures

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

11

Directions : (1 to 5) In each of the questions 1 to 5there is a number series with one term missingshown by question mark (? ). This term is oneof the alternatives among the four numbers givenunder it. Find this number and blacken, withpencil, the circle of its serial number givenagainst the question number on the AnswerSheet.

1. 2, 3, 10, 15, 26, (?)(A) 34 (B) 35(C) 36 (D) 37

2. 1, 4, 27, 16, 125, 36, ( ?)(A) 216 (B) 343(C) 64 (D) 49

3. 336, 210, 120, (?), 24, 6, 0(A) 40 (B) 50(C) 60 (D) 70

4. 3, 4, 8, 17, 33, (?)(A) 58 (B) 69(C) 49 (D) 98

5. 8, 13, 21, 34, 55, (?)(A) 60 (B) 68(C) 89 (D) 76

Directions : (6 to 10) Each of the question 6-10 consistsof a number series which contains a wrong term.This term is given as one of the alternativesamong the four numbers given below it. Findout the wrong term in each case and darken thecorresponding serial number by pencil on theAnswer Sheet against the question number.

6. 3, 7, 9, 21, 27, 66, 81, 189, 243(1 ) 27 (B) 66(C) 243 (D) 21

7. 27, 34, 40, 45, 49, 53, 54 , 55(A) 53 (B) 45(C) 56 (D) 34

8. 0, 2, 3, 6, 6, 20, 9, 54, 12(A) 3 (B) 6(C) 20 (D) 54

9. 0, 2, 10, 36, 68, 130(A) 10 (B) 36(C) 68 (D) 130

10. 9, 54, 44 264, 254, 1520, 1514(A) 1514 (B) 1520(C) 264 (D) 44

RAJASTHAN_ NTSE-STAGE-I (YEAR:2007) MATDirections : (11 to 15) In each of the questions 11 to 15

there is a letter series with one term missingshown by question mark ( ? ). This term is oneof the alternatives among the four groups of theletters given under it. Find this term and blackenthe circle with pencil of its serial number givenagainst the question number on the AnswerSheet.

11. BYDW, FUHS, JQLO, NMPK, ( ?)(A) RITG (B) RJGH(C) IRGT (D) HPIN

12. BYCXA, EVFUD, HSIRG, KPLOJ, (? )(A) MNLOL (B) NMOLM(C) QJRIP (D) PKQJO

13. UTRQU, QPNMT, MLJIS, IHFER, (?)(A) EDCAQ (B) EDBAQ(C) IHFGP (D) KJHGP

14. CDFI, EFHK, IJLO, KLNQ, OPRU, (? )(A) QRTW (B) MNPS(C) QRST (D) RSUX

15. CFIJ, RUXY, EHKL, PSVW, (? )(A) HILM (B) UXZA(C) SVYZ (D) MOSV

Directions : (16 to 20) Each of the following questions16 to 20 expresses some relationship betweenthe first two terms. The same relationship existsin the other set c terms. The missing term (?) iscontained in the four alternatives, given belowthe question. Find the correct alternative andblacken with pencil the circle of its serial numberagainst the question umber on the AnswerSheet.

16. XAYZ: PSRQ :: JMKL : (?)(A) UVXZ (B) YZVX(C) WZYX (D) WXYZ

17. PQRR: RQPR :: CDEE : (?)(A) EDCE (B) EECD(C) ECDE (D) CDEF

18. ADCB: ZWXY :: GJIH : (?)(A) TQRS (B) PSRQ(C) SVUT (D) TSRQ

19. GiL : J O :: LnQ : (?)(A) O p S (B) P r U(C) O r U (D) O q T

22

(A)1

5 4 (B)2

4 5

(C) 5

2 6 (D) 3

4 5


21 3

45 3

23 5

25 6

(A) 1 (B) 3(C) 4 (D) 5


623

12 3

14 2

(A) 2 (B) 4(C) 5 (D) 6

Directions : (31 to 35) In questions 31 to 35 in the circles,there are certain numbers inside/outside them,according to a particular rule. In each questionone of the circles has a question mark (?) insideoutside, choose the correct answer to fill in thespace marked (?) from the given alternatives andblacken with pencil, the corresponding circle ofthe correct answer in the Answer Sheet.

31. 1 7 ?4 8 85 6 53 7 6

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

32. 19 17 ?16 64 936 100 251 49 4

25 81 16(A) 6 (B) 7(C) 8 (D) 9

33. 7.50 11.25 ?4 5 55 2 22 3 4

3 6 2(A) 4.5 (B) 5.0(C) 8.5 (D) 7.0

34. 21 24 ?2 1 23 8 45 5 9

7 6 5(A) 36 (B) 38(C) 48 (D) 42

20. DFJL: OQUW :: EGKM : (?)(A) NPTU (B) JLPR(C) PRVX (D) RTWY

Directions : (21 to 25) Questions 21 to 25 are based onletter-series from each of which some of theletters are missing. The missing letters are givenin the proper sequence in one of the alternatives.Find the correct alternative in each case andindicate this by blackening with pencil, the circleof the corresponding serial number given againstthe question number on the Answer Sheet.

21. a _ b b _ c aab _ ccaa _ bcc(A) bacb (B) acbb(C) caba (D) abba

22. ab _ aa _ bbb _ aaa _ bbba(A) baab (B) abab(C) aaab (D) abba

23. abca _ bcaab _ aa _ caa _ c(A) abac (B) abba(C) acbb (D) ccaa

24. abb _ baa _ a _ bab _ aba(A) ccac (B) abab(C) aabb (D) abba

25. bc _ b _ c _ b _ ccb(A) cbcb (B) cbbc(C) bbcb (D) bcbc

Directions : (26 to 30) Questions 26 to 30 are based onDice Test. Numbers from 1 to 6 are marked ondifferent faces of the "Dice". Blacken with pencil,the circle of serial number the correct answeron the Answer Sheet.

26. The number opposite to 4 is:

21 5

54 6 2

65

(A) 1 (B) 2(C 5 (D) 6

27. The number opposite to 6 is:

52

65

4 61

5 2

(A) 1 (B) 3(C) 5 (D) None of these

28. If the sum of the numbers on the opposite facesof dice is 7, then which figure of dice is correctlymarked ?

33

44. (A) GHFIC (B) OPNQM(C) UVTWQ (D) STRUO

45. (A) YVSR (B) TQNM(C) KHFE (D) NKHG

Directions : (46 to 50) In question 46 to 50 some lettersstands for arithmetic sign as indicated below. Theremaining letters have their serial numbers in theAlphabets. Decode the letters into number and signto decide correct alternative and indicate this byblackening with penci l the circle of thecorresponding serial number given against thequestion number on the Answer Sheet -A = ×, E = –, O = U = +

46. TEF(A) 14 (B) 12(C) 16 (D) 18

47. SETUH(A) 5 (B) 6(C) 7 (D) 8

48. GULAB(A) 26 (B) 28(C) 31 (D) 38

49. NACED(A) 32 (B) 36(C) 39 (D) 38

50. RUFOBEG(A) 14 (B) 16(C) 12 (D) 18

Directions : (51 to 55) Questions 51 to 55 are based onthe Venn diagram given below in which thetriangle stands for lady, the rectangle stands fordoctors, the circle stands for teachers and the,square stands for engineers. Find out the correctanswer of each question from the alternativesgiven under it and darken the correspondingsequence numbers by pencil on the AnswerSheet.

5

11

4

10

9

8

8

7 2

3

35. 8 12 ?20 36 4924 81 6416 16 25

4 11 31(A) 11 (B) 13(C) 15 (D) 17

Directions : (36 to 40) Words in capital letters in column-I are written in small letters according to a codelanguage in column- II, Decode the languageand find out the correct alternative for the givenword in each question. Blacken with pencil, thecircle the serial number of correct alternative inthe Answer Sheet.(Column I) (Column II) PORK oxtj BAD dzg WAVE sgmp BID dzw VAGI gswb BAT vgd VEX smk ROSE yomt

36. Code for ‘B’ is –(A) v (B) d(C) g (D) y

37. Code for 'G' is-(A) b (B) z(C) y (D) s

38. Code for 'W' is–(A) q (B) g(C) b (D) p

39. Code for letter in the word ‘DATE’ are –(A) z j k m (B) x t o g(C) z g v m (D) d j k s

40. Code for the letters in the word ‘BEST’ are –(A) g z m v (B) d m y v(C) b k p d (D) g s z y

Directions : (41 to 45) Questions 41 to 45 consists offour sets of letters In which set is different fromother three in some way or the other. Find outthis different and blacken with the pencil thecircle of its serial number against the questionnumber on the Answer Sheet.

41. (A) MLONP (B) HGJIK(C) SRUTV (D) WUYXZ

42. (A) PRTVN (B) SUWYQ(C) DFHJB (D) NPSUL

43. (A) VXKN (B) TWIL(C) RUGJ (D) QTFI

44

62. If Letters of alphabets are written in reverse waythen which letter will be seventh letter right to Q?(A) K (B) U(C) J (D) W

63. How many odd numbers are in the followingnumber series, which does not contains just afterit an odd number, but contains an even numberjust before it ?3 5 8 1 4 9 7 6 1 5 9 2 3 4 8 5 2(A) 2 (B) 3(C) 4 (D) 5

64. If all the even numbers in between numbers from32 to 51 are arranged in a row then number atfifth position from right, will be–(A) 36 (B) 40(C) 42 (D) 48

65. Select the word from given alternatives whichcan not be wri tten f rom the letters of"EDUCATED" word-(A) DUCK (B) CUTE(C) TADE (D) ACTE

66. How many 'A' are in the given letter series whichdoes not has 'B' just before it but has 'C' justafter it ?D A C B A C D A CB C A C B A C B A D C(A) 3 (B) 4(C) 5 (D) 6

67. If the sixth day of a month is fourth day afterSunday then which day of weak will be on 19thday of that month-(A) Friday (B) Wednesday(C) Saturday (D) Tuesday

68. How many times the two hands of watch formright angle from 12:00 O'clock noon to 6.00O'clock evening.(A) 6 (B) 8(C) 11 (D) 12

69. Sita introducing a man to her husband Ram,told "Grand father of his son is only a son of myGrandfather" how Sita is related to that man.(A) Daughter-in-Law (B) Sister(C) Daughter (D) Mother-in-Law

70. Introducing Radha, Kalpana said "her mother isalone daughter of my mother". How Kalpana isrelated to Radha ?(A) Mother (B) Sister(C) Niece (D) Daughter

51. How many persons are engineers as well as doteaching job ?(A) 5 (B) 8(C) 13 (D) 7

52. The numbers of lady doctors who are neitherengineer nor teachers are-(A) 0 (B) 7(C) 10 (D) 11

53. The number of engineers who are neither doctorsnor lady teachers are-(A) 4 (B) 11(C) 9 (D) 2

54. The numbers of lady doctors who are engineersbut teach children of the village are –(A) 7 (B) 8(C) 10 (D) 15

55. The numbers of gents teachers who are neitherdoctors nor engineers are –(A) 12 (B) 9(C) 5 (D) 4

Directions : (56 to 60) Question 56 to 60 consists offour sets in which one set is different from otherthree in some way or the other. Find out it andblacken with pencil he circle of its serial numberagainst the question number on the AnswerSheet.

56. (A) Iron (B) Silver(C) Brass (D) Copper

57. (A) Red (B) Yellow(C) Colour (D) Black

58. (A) Jaipur (B) Jodhpur(C) Udaipur (D) Kota

59. (A) Earthworm (B) Lizard(C) Rat (D) Snake

60. (A) Car (B) Truck(C) Maruti (D) Bus

Directions : (61 to 70) In questions 61 to 70 blackenwith pencil, the circle of the numbers of correctAnswer of each questions given as one of thefour alternative the Answer Sheet.

61. Holi, Independance day, Republic day,Christmas and Diwali festivals of any arearranged in a regular correct way then the festivalfalls in the middle be-(A) Republicday (B) Independance(C) Christmas (D) Diwali

55

(C) 22 (D) 23

78.

1 4 ?64 9 1649 36 25

(A) 5 (B) 40(C) 45 (D) 81

79.

24 3 15? 0 4880 63 35

(A) 7 (B) 8(C) 9 (D) 10

80.

1 26 621 5 3116 ? 11

(A) 27 (B) 31(C) 36 (D) 41

Directions : (81 to 86) In question 81 to 86, there aretwo sets of figures. One set is problem figureand the second set is a answer figures. Thereis some relationship between the first and thesecond figures of the problem figures set. If thereis similer relationship between the third andfourth figures of the same set, select the correctfigure from the set of answer figures for qestionmark (?) and blacken with pen the circle of itsserial number in the Answer Sheet.

81. Problem Figures

?• × × •: :: :Answer Figures

• •

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

82. Problem Figures

?• ×• ×××: :: :

Answer Figures

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

Directions : (71 to 15) Question No. 71 to 75, Fivestudents A, B, C, D & E of a class secureddistinction in four subjects English, Science,Maths and Sanskrit as: A and C secureddistinction in English and Science. B, C and Esecured distinction in Science and Sanskrit,while A, D and E Secured distinction in Englishand Maths then find out the correct alternativesfor each question and blacken with pencil thecircle of the serial number given against questionnumber on the Answer Sheet.

71. The student who secured distinction in all thefour subjects is –(A) A (B) E(C) C (D) D

72. The students who secured distinction in English,Science and Maths are –(A) A,B (B) D, E(C) A, E (D) C, D

73. The Student who secured distinction in threesubjects except Maths is-(A) A (B) B(C) C (D) D

74. The Student who secured distinction in Sanskritand Science but not in Maths and English is-(A) B (B) C(C) D (D) E

75. The Student who secured distinction in onlyEnglish and Maths is -(A) C (B) B(C) D (D) A

Directions : (76 to 80) Questions 76-80 there are ninecells in each Square for each question. Thenumber written in each cell of square followssome rule. Find the rule and according to itchoose correct answer from given alternativesand blacken with pencil, the circle of the serialnumber of question on the Answer Sheet.

76.

11 12 1318 15 1625 ? 21

(A) 19 (B) 18(C) 20 (D) 21

77.

13 8 1016 22 3121 ? 9

(A) 20 (B) 21

66

87.

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

88.

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

89.

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

90.(A) (B) (C) (D)

91.

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

×× ×

××

92. CC AA(A) (B) (C) (D)

93.

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

94.

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

I O K E

Directions : (95 to 100) From question no. 95 to 100there are two sets of figures, one set contentsproblem figures, another set contents answerfigures. There is a sequence according to whichthe problem figures are arranged, select one

83. Problem Figures

?: :: :Answer Figures

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

84. Problem Figures

?: :: :Answer Figures

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

85. Problem Figures

........... ......... ....... ............ ..

.......... .......... ........ .. ........

..... ?

........... ......... ........ ............ ..

... ....

.......... .......... .. .....

.: :: :Answer Figures

..

....... ....

........ . ..... ......... ...

. ...

.. ... ....

.

..

.... . ..... .... ..... ........ .

........... .. ....

. ......... ..

....... .

...

........ . ..... ..

....... ...

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

86. Problem Figures

?• × • • ×: :: :Answer Figures

•• • •

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

Directions : (87 to 94) In each of the following questionno. 87–94 four figures are given. One of thesefigures does not correlate with the rest of thefigures. Find out the figure and blacken withpencil the circle of its serial number in the answersheet.

77

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

100. Problem Figures

Answer Figures

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

figure from the set of answer figures which canbe placed in sequence after the set of problemfigures. Blacken with pencil the circle on theAnswer Sheet corresponding to the correct-serialnumber of the Answer figure selected.

95. Problem Figures

Answer Figures

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

96. Problem Figures

Answer Figures

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

97. Problem Figures

Answer Figures

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

98. Problem Figures

Answer Figures

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

99. Problem Figures

Answer Figures

88

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Ans. B B C A C B A C B B A B B A CQue. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Ans. C A A D C B A C D A B A A C BQue. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45Ans. C B B A B B A D C B D D A B CQue. 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60Ans. A C C D A A A B B D C C A B BQue. 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75Ans. B C B C A A B C B A B C C A CQue. 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90Ans. B A D B C B D B C B B C D D CQue. 91 92 93 94 95 96 97 98 99 100Ans. C B C C D A C C B C

ANSWER KEY

HINTS & SOLUTIONS

NTSE-RAJASTHAN-2007 (STAGE-I)CLASS-VIII [MAT]

1. The series exhibits the pattern of n2 +1,n2–1,alternately, n taking values 1, 2, 3, . . . . . . . ..Hence, the missing number is = 62–1 = 35.

2. The sequence is a combination of two seriesI 1, 27, 125, ?II 4, 16, 39The pattern followed in I is 13, 33, 53.....

missing number = 73 = 343.

3. The sequence in the given series is: 73 – 7, 63 – 6 , 53 – 5, 43 – 4, 33 – 3 , 23 – 2 ,......Hence, the missing number is = 43 – 4 = 60

4. The sequence in the given series is: +12, +22, +32, +42,.......Hence, the missing number is = 33 + 25 = 58.

5. Number is the sum of its previous two numbers.8 + 13 = 21, 13 + 21 = 34, 21 + 34 = 55,34 + 55 = 89.

6. The sequence is a combination of two seriesI 3, 9, 27, 81, 243II 7, 21, 66, 189The pattern in both I and II is × 3

So, in II 66 is wrong and must be replaced by 63.

7. The correct sequence is + 7, + 6, + 5, + 4, + 3,+ 2, +1. So, 53 is wrong and must be replacedby 52.

8. The sequence is a combination of two seriesI 0, 3, 6, 9, 12II 2, 6, 20, 54The pattern in I is + 3 and the pattern in II is × 3So, in II 20 is wrong and must be replaced by18.

9. The sequence in the given series is :03 + 0, 13 + 1, 23 + 2, 33 + 3, 43 + 4, ............So, 36 is wrong and must be replaced by 30.

10. The sequence in the given series is :× 6, – 10, × 6, – 10, × 6, – 10So, 1520 is wrong and must be replaced by 1524.

11. The first and the third letter of each term aremoved four steps forward and the second andfourth letter of each term are moved four stepsbackward to obtain the corresponding letters ofthe next term.So the missing term would be RITG.

12. The first, third and fifth letter of each term aremoved three steps forward and the second andfourth letter of each term are moved three stepsbackward to obtain the corresponding letters ofthe next term.So the missing term would be NMOLM.

13. The first four letter of each term are moved foursteps backward and the last letter is moved onesteps backward to obtain the correspondingletters of the next term. So the missing termwould be EDBAQ.

14. Each letter of first, second, third, ........ termsis moved two, four, two, four ........ steps forwardrespectively. So the missing term would beQRTW.

15. There is gap of two letters between first andsecond, second and third letters of each termand third and fourth letter of each term areconsecutive. So, the missing term would beSVYZ.

99

21. The pattern of the series isaabbcc/aabbcc/aabbccSo, pattern aabbcc is repeated.

22. The pattern of the series isabb/aaabbb/aaaabbbb/a

23. The pattern of the series isabc/a/abc/a/abc/a/abc/a/abcSo, pattern abc/a is repeated.

24. The pattern of the series isabba/baab/abba/baabSo, pattern abba/baab is repeated.

25. The pattern of the series isbccb/bccb/bccbSo, pattern bccb is repeated.

26. The unfolded figure of the dice as shown below:

145 62

3

Thus, from the figure, we find that the numberopposite to 2 is 4.


145 62

3


28. The sum of the numbers on the opposite facesof dice is 7. The unfolded figure of a dice asshown below :

31 6

42

5

Thus, from the figure, we find that the numberopposite to 3 is 4,2 is 5 and 1is 6. So the dice(A) is possible.


14

5

6

23



14

5

623


31. In 1st figure, (5 × 3 × 4 × 4) ÷ 240 = 240 ÷ 240 = 1In 2nd figure, (6 × 7 × 8 × 5) ÷ 240 = 1680 ÷ 240= 7So, in 3rd figure, the digits of the missing numberare : (5 × 6 × 8 × 5) ÷ 240 = 1200 ÷ 240 = 5

32. In 1st figure, 1251636 – = 6 × 4 – 5 ×1 = 19

In 2nd figure, 814964100 –= 10 × 8 – 7 × 9 = 80 – 63 = 17So, in 3rd figure, the digits of the missing number

are : 164925 – = 5 × 3 – 2 × 4= 15 – 8 = 7

33. In 1st figure, (5 × 2 × 4 × 3) ÷ 16 = 120 ÷ 16 =7.50In 2nd figure, (2 × 3 × 5 × 6) ÷ 16 = 180 ÷ 16 =11.25So, in 3rd figure, the digits of the missing numberare : (2 × 4 × 5 × 2) ÷ 16 = 80 ÷ 16 = 5

34. In 1st figure, (3 × 5 × 2 × 7) ÷ 10 = 210 ÷ 10 = 21In 2nd figure, (8 × 5 × 1 × 6) ÷ 10 = 240 ÷ 10 = 24So, in 3rd figure, the digits of the missing numberare : (4 × 9 × 2 × 5) ÷ 10 = 360 ÷ 10 = 36

35. In 1st figure, (24 + 16 + 20 + 4) = 64, 64 = 8

In 2nd figure, (81 + 16 + 36 + 11) = 144, 144 =12So, in 3rd figure, the digits of the missing number

are : (64 + 25 + 49 + 31) = 169, 169 = 13

36. Clearly, the code letter for B is d.37. Clearly, the code letter for G is b.

38. Clearly, the code letter for W is p.

39. Clearly, the code letters for DATE are zgvm.

40. Clearly, the code letters for BEST are dmyv.

46. By their natural position in alphabet,TEF = 20 – 6 = 14.

47. By their natural position in alphabet and givensigns,SETUH = 19 – 20 + 8 = 7.

48. By their natural position in alphabet and givensigns,GULAB = 7 + 12 × 2 = 31.

49. By their natural position in alphabet and givensigns,NACED = 14 × 3 – 4 = 38.

50. By their natural position in alphabet and givensigns,RUFOBEG = 18 + 6 2 – 7 = 18 + 3 – 7 = 14.

51. The number of person present at the commonreason of square and circle which is 5.

1010

52. There are no such person which are present atthe common reason of only triangle andrectangle.

53. The number of person present at the square onlywhich is 11.

54. The number of person present at the commonreason of triangle,rectangle square and circlewhich is 8.

55. The number of person present at the circle onlywhich is 4.

63. As per the question3 5 8 1 4 9 7 6 1 5 9 2 3 4 8 5 2 .Thus, three such numbers are there.

64. The even numbers in between numbers from 32to 51 are: 34,36,38,40,42,44,46,48,50.Clearly, the number at fifth position from right is42.

69.

ManSita

Father

-

Son

+

+

Sister

Father

+

+

Clearly, Sita is sister of that man.70.

Kalpana

-

Mother

Radha

-

-

Daughter

Clearly, Kalpana is mother of Radha.

71. Clearly, student E who secured distinction in allthe four subjects.

72. Clearly, students A and E secured Distinctionin English, Science and Maths.

73. Clearly, student C who secured Distinction inthree subjects except Maths.

74. Clearly, student B who secured Distinction inSanskrit and Science but not in Maths andEnglish.

75. Clearly, student D who secured Distinction inonly English and Maths.

76. In 1st row, (11 + 12 + 13) = 36, 36 = 6

In 2nd row, (18 + 15 + 16 ) = 49, 49 = 7So, in 3rd row, the digits of the missing numberare: (25 + x + 21) = 64, x = 18

77. The sum of numbers in each column = 50. So,the missing number is 20.

78. All the numbers are square root of differentsingle digit natural number. So, the missingnumber is 81.

79. The pattern of each number in all the blocks isn2–1 where n is a natural number from 1, 2, 3, 4,.......... So, the missing number is 8.

80. The pattern is :5 × 0 + 1 = 1, 5 × 1 + 1 = 65 × 2 + 1 = 11, 5 × 3 + 1 = 165 × 4 + 1 = 21, 5 × 5 + 1 = 265 × 6 + 1 = 31, 5 × 7 + 1 = 36

88. All the arrow divides the rectangle in two equalparts except (D).

89. The number of sides of inner figure is less thanthe outer figure except (D).

91. Arrow not cross the circle except (C).92. The second letter is the mirror-image of first letter

except (B).

93. The two same figure are attach to each otherexcept (C).

94. All letter are vowels except (C).

3535PAGE # 35

Directions : (1 to 5) In each question there is a numberseries with one term missing shown by questionmark (?). This is one of the alternatives amongthe four numbers given under it. That number is-

1. 3, 6, 13, 26, 45, (?)(A) 68 (B) 74(C) 76 (D) 82

2. 190, 94, 46, 22, 10, 4, (?)(A) 3 (B) 2(C) 1 (D) 0

3. 128, 110, 90, 68, (?)(A) 36 (B) 42(C) 44 (D) 48

4. 1, 2, 4, 7, ?, 16(A) 9 (B) 11(C) 12 (D) 13

5. 6, 8, 9, 12, 14, 18, (?)(A) 21 (B) 19(C) 23 (D) 20

Directions : (6 to 10) These questions consists of anumber series which contains a wrong term. Thisterm is given as one of the alternatives amongthe four numbers given below. The wrong term is-

6. 10, 15, 26, 35, 48, 63, 82(A) 48 (B) 26(C) 63 (D) 82

7. 3, 10, 30, 66, 127, 218(A) 3 (B) 66(C) 30 (D) 218

8. 7, 9, 17, 42, 91, 172, 393(A) 91 (B) 42(C) 17 (D) 9

9. 2, 12, 24, 34, 68, 78, 158, 166(A) 68 (B) 78(C) 158 (D) 166

10. 2, 6, 10, 20, 30, 42, 56(A) 6 (B) 10(C) 20 (D) 30

Directions : (11 to 15) In each question there is a letterwith one term missing shown by question mark(?). This term is one of the alternatives amongthe four groups of letters, given under it. Thisterm is -

11. BCFH, (?), HILN, KLOQ, NORT(A) MNQS (B) EFIK(C) NOPQ (D) PQTV

RAJASTHAN_ NTSE-STAGE-I (YEAR:2008) MAT

12. KMON, NPRQ, (?), TVXW, WYAZ(A) QSUT (B) QTUS(C) UWYX (D) SUWV

13. GRPT, HSQS, ITRR, (?), KVTP, LWUO(A) USJQ (B) QSUJ(C) JSQR (D) JUSQ

14. XBI, JNU, VZG, HLS, (?)(A) TYE (B) TXE(C) PTA (D) UYE

15. AYCXB, EWGVF, IUKTJ, MSORN, (?)(A) QOPPR (B) RPSQO(C) QQSPR (D) PQRPQ

Directions : (16 to 20) In each of the following questionsthere exists a relationship between the first twoterms. The same relationship exists in the otherset of terms. The missing term (?). is containedin the four alternatives, given below the question.The correct alternative is -

16. LOQ : GJL : : (?) : ADF(A) BEG (B) FIK(C) PSW (D) CEG

17. BCE : FGM : : ABD : (?)(A) EDK (B) DEH(C) EFL (D) CBA

18. DEF : IKM : : NOP : (?)(A) UVX (B) SUW(C) GHI (D) USW

19. TPVOE : UOWNF : : POISE : (?)(A) QNTHF (B) QJNRF(C) QPTJY (D) QNJRF

20. EGIK : HJLN : : SUWY : (?)(A) VXZB (B) VXBZ(C) VBXZ (D) VZXB

Directions : (21 to 25) Out of nine cells of a square onecell is left blank, and in the rest of the cellsnumbers are written which follow some rule. Getthe rule and find the proper option for the blankcell (?).

21. 6 21 369 45 817 (?) 49

(A) 32 (B) 28(C) 35 (D) 56

3636PAGE # 36

29. 5 2 ?7 13 154 6 810 12 16

6 9 10(A) 3 (B) 2(C) 5 (D) 4

30. 23 39 ?4 5 62 3 43 4 5

5 6 7(A) 120 (B) 59(C) 62 (D) 22

Directions : (31 to 35) Each question consists of foursets of letters. One set is different from otherthree in some way. Find out the different set.

31. (A) PORQS (B) HGLIM(C) UTWVX (D) ZYBAC

32. (A) BYWD (B) GTRI(C) KOPM (D) SHFU

33. (A) KHF (B) HEC(C) PMK (D) EBA

34. (A) TABLE (B) LATER(C) RATES (D) GREAT

35. (A) TVS (B) OQN(C) LNK (D) JGI

Directions : (36 to 40) Following questions are basedon a pyramid of numbers from 1 to 100 arrangedas shown below. In each question there are twogroups of numbers on the left of the sign : :which are related in some way. The samerelationship exists between the third group andthe one missing term indicated by a blank spacewith a question marks (?). With the help of thegiven pyramid, find the missing group in eachquestion amongst the four alternatives givenunder it.

12 3 4

9 8 7 6 510 11 12 13 14 15 16

25 24 23 22 21 20 19 18 17 26 27 28 29 30 31 32 33 34 35 36

49 48 47 46 45 44 43 42 41 40 39 38 37 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64

81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 6582 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

36. 232945 : 303132 : : 324258 : (?)(A) 414039 (B) 434445(C) 333435 (D) 575655

22.3 5 167 9 3211 13 (?)

(A) 48 (B) 64(C) 24 (D) 143

23. 1 5 94 8 127 (?) 15

(A) 11 (B) 12(C) 13 (D) 16

24.3 4 437 5 579 11 (?)

(A) 34 (B) 75(C) 119 (D) 911

25.8 11 1525 34 4674 101 (?)

(A) 138 (B) 139(C) 140 (D) 137

Directions : (26 to 30) In each question there are circles.Certain numbers are given inside/outside circles,according to a particular rule. In each questionone of the circles has a question mark (?) inside it. Choose the correct answer to fill in thespace marked (?) from the given alternatives.

26. 20 ? 2128 6 1712 18 254 2 7

5 3 3(A) 9 (B) 15(C) 18 (D) 12

27. 6 9 ?8 12 1712 16 2025 36 42

17 22 18(A) 6 (B) 15(C) 30 (D) 47

28. 8 2 ?3 4 34 7 84 5 7

5 6 6(A) 2 (B) 38(C) 27 (D) 18

3737PAGE # 37

47. Code for 'M' is -(A) v (B) c(C) i (D) m

48. Code for 'I' is -(A) m (B) p(C) f (D) k

49. Code for letters in the word 'TRAIN' is -(A) fgehk (B) fkgic(C) ipvcj (D) fvgme

50. Code for letters in the word 'EARN' is -(A) ferk (B) gcim(C) gkrp (D) fgrc

Directions : (51 to 55) In the following questions somenumbers are given in the shape of figures.Finding the values of the figures give the correctanswer of the questions.

–

+

= 1

= 3

÷

–

= 2

= 4

51. = ?(A) 0 (B) 3(C) 4 (D) 6

52. + = ?(A) 5 (B) 7(C) 8 (D) 9

53. × = ?(A) 0 (B) 3(C) 5 (D) 6

54. × ÷ = ?(A) 3 (B) 6(C) 8 (D) 24

55. + – = ?(A) 3 (B) 4(C) 5 (D) 7

Directions : (56 to 60) In the following questions youhave to visualize the image of the item (Letter/word/number/figures) in the mirror. The mirror isbelow the item. Choose the mirror image fromthe alternatives.

56.(A) (B)(C) (D)

57.(A) (B)(C) (D)

37. 102232 : 233141 : : 252943 : (?)(A) 284752 (B) 284556(C) 386366 (D) 284458

38. 295557 : 234547 : : 335961 : (?)(A) 417173 (B) 194143(C) 194139 (D) 334142

39. 294754 : 564332 : : 294457 : (?)(A) 594035 (B) 584134(C) 577489 (D) 574233

40. 514846 : 454358 : : 857876 : (?)(A) 757491 (B) 757358(C) 757392 (D) 755447

Directions : (41 to 45) These questions are based onletter series in which some of the letters aremissing. The missing letters are given in theproper sequence in one of the alternatives amongthe four, given under each question. Find thecorrect alternative for each question.

41. ab _ ab _ ababb _ b _ ab(A) baaa (B) abbb(C) aaab (D) baab

42. p _ rp _ qr _ qrr _ qrp(A) qqpq (B) ppqq(C) qpqp (D) qqpp

43. mq _ sqm _ qssq _ m _ ssqmm _ s(A) qsmsq (B) qmsmq(C) smmqq (D) sqmss

44. aa _ bb _ aa _ abbbb _ a(A) abab (B) baba(C) aabb (D) bbaa

45. aaa _ bb _ aab _ baaa _ bb(A) bbaa (B) babb(C) baab (D) abab

Directions : (46 to 50) Words in capital letters in columnI are written in small letters in a code languagein column-II. Decode the language and find outthe correct alternative for the given letter/wordin each question.Column-I Column-II

1. FISH zmkj2. TEA fir3. GAIN kpgf4. DOG peh5. ROSL cmre6. NUT igq7. TRAM cvif

46. Code for 'U' is -(A) i (B) g(C) q (D) h

3838PAGE # 38

58.(A) (B)(C) (D)

59.

(A) (B)

(C) (D)

60. 9 312

6

(A) (B)

(C) (D)

Directions : (61 to 75) Find the correct alternative fromthe four alternatives given below each question.

61. If Sripal's birthday falls on Thursday 20th March,2000, then on which day of the week his birthdayfalls in the year 2001 ?(A) Wednesday (B) Friday(C) Saturday (D) Sunday

62. In a period of 12 hours how many times Hourhand and Minutes hand of a clock are in astraight line facing the opposite direction ?(A) 22 times (B) 11 times(C) 12 times (D) 24 times

63. In a certain code 'FORGET' is written as'DPPHCU'. In the same code 'DOCTOR' will bewritten as -(A) EPDUPS (B) ROTCOD(C) BPAUMS (D) CPBUNS

64. There are five friends A, B, C, D and E. 'A' isshorter than 'B' but taller then E, C is tallest, Dis little shorter than B and little taller than A.(A) D (B) C(C) A (D) B

65. If MALE = 31 and PLAY = 54 than CLASS = ?(A) 35 (B) 31(C) 54 (D) 45

66. The number opposite to 1 is -

1 4 24 2 15 6 3

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

67. If the sum of the numbers on the opposite facesof a dice is '7', then which figure of dice is notcorrectly presented.

(A)2

1 4 (B)5

2 4

(C) 1

3 5 (D) 3

2 6

68. The following figure is converted to a circle, it'scorrect shop would be -

PTRSU Q

(A)P

S T (B)Q

T R

(C) P

S U (D) P

T Q

69. In the following figure, the number of trianglesare -(A) 8(B) 12(C) 15(D) 16

70. In the following series how many 4's arepreceded by '5' but not followed by '2' or '3'.5 4 5 4 7 6 5 4 2 3 8 5 4 1 1 5 4 6 3 6 4 2(A) 2 (B) 4(C) 3 (D) 5

71. Ramesh starts walking from his house at 4 PMfacing towards sun and walks 5 km. Then heturns left and walks 8 km. Again turning to lefthe walks 13 km and reaches Mohan's house. Inwhich direction Ramesh's house is from Mohan'shouse ?(A) North-West (B) North-East(C) South-West (D) South-East

3939PAGE # 39

72. The angle between two arms of a watch it shows30 minutes past 8 will be -(A) 70º (B) 75º(C) 80º (D) 85º

73. If M is Father of N ; L is Brother of M and P isMother of L, then what is the relation of Nwith P ?(A) Grand Father (B) Grand Son(C) Nephew (D) None of these

74. In a class the rank of Sohan is sixteen from thetop and fortynine from the bottom. The totalnumber of students in the class are -(A) 64 (B) 65(C) 66 (D) 67

75. Wave : Voice : : Ray : ?(A) Darkness (B) to see(C) Light (D) to hear

Directions : (76 to 80) Two sets of the figures are given.One set of question-figures and another set isof answer-figures. Question-figures are arrangedin a sequence. One figure from the answer-figures is to be selected such that it can beplaced after the series of question-figures. Findthe correct serial number of the selected answer-figure.

76. Question-figures

×+

×++

×+++

Answer-figures

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

×++

×++++

×++++

×+++


Answer-figures

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


Answer-figures

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


x xx

x

Answer-figures

x xx

x

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


Answer-figures

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

Directions : (81 to 85) There are two sets of figures oneis of Question-figures and another of Answer-figures. First two figures of Question-figures havesome relationship between them. Samerelationship exists between the third and fourthfigures. In the place of question mark (?) findthe correct serial number of the figure fromAnswer-figures.


?

Answer-figures

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


?

4040PAGE # 40

Answer-figures

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


?

Answer-figures

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


?: :::

Answer-figures

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


x?: :::

Answer-figures

(A) (B) (C) (D)x

Directions : (86 to 90) In each question four figures aregiven. One of them does not correlate with therest. Find the different figure.

86.

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

87.

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

88.

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

89.

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

90.

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

4141PAGE # 41

Que. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Ans. B C C B A A C D C B B A D B CQue. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Ans. B C B D A B A A C D C B D A BQue. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45Ans. B C D D D A D A C C A D C D BQue. 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60Ans. C A D B D C D A C D B D A B AQue. 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75Ans. B B C A C B B D D B A B D A CQue. 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90Ans. D B D A D A A B A D B C D D A

HINTS & SOLUTIONS

NTSE-RAJASTHAN-2008 (STAGE-I)CLASS-VIII [MAT]

Answer Key

1. The difference between two terms of the givenseries is alternate prime numbers starting from3,7,13,19,29.Therefore, the next term would be45 + 29 = 74.

2. Each term is equal to previous term divided by2, and 1 is subtracted to the product.190 ÷ 2 – 1 = 94, 94 ÷ 2 – 1 = 46, 46 ÷ 2 – 1 =22,22 ÷ 2 – 1 = 10, 10 ÷ 2 – 1 = 4, 4 ÷ 2 – 1 = 1Therefore, the next term would be 4 ÷ 2 – 1 = 1

3. The sequence in the given series is– 18, – 20, – 22, – 24, .......next term would be68 – 24 = 44

4. The sequence in the given series is+ 1, + 2, + 3, + 4, + 5, .......next term would be7 + 4 = 11

5. The sequence is a combination of two seriesI 6, 9, 14, ?II 8, 12, 18The pattern followed in I is + 3, + 5, + 7

missing number = 14 + 7 = 21

6. The sequence in the given series is :32 + 1, 42 – 1, 52 + 1, 62– 1, 72 + 1, 82 – 1,...........So, 48 is wrong and must be replaced by 50.

7. The sequence in the given series is :13 + 2, 23 + 2, 33 + 2, 43 + 2, 53 + 2, ..........So, 30 is wrong and must be replaced by 29.

8. The sequence in the given series is :+ 12, + 32, + 52, + 72, + 92,So, 9 is wrong and must be replaced by 8.

9. The sequence in the given series is :+ 10, × 2, + 10, × 2, + 10, × 2, + 10, × 2,............So, 158 is wrong and must be replaced by 156.

10. The sequence in the given series is :+ 2, + 4, + 6, + 8, + 10, + 12, + 14,...........So, 10 is wrong and must be replaced by 12.

11. The all letter of each term are moved three stepsforward to obtain the corresponding letters ofthe next term. So the missing term would beEFIK.

12. The all letter of each term are moved three stepsforward to obtain the corresponding letters ofthe next term. So the missing term would beQSUT.

13. The first three letter of each term are moved onestep forward and the last letter is moved onestep backward to obtain the correspondingletters of the next term. So the missing termwould be JUSQ.

14. The given sequence is a combination of twoseriesI. XBI, VZG, ?II. JNU, HLSIn Ist series first and second letter of each term

4242PAGE # 42

are moved two steps backward and third letterof each term is moved two steps forward. So,the missing term would be TXE.

15. The first, third and fifth letter of each term aremoved four steps forward and the second andfourth letter of each term are moved two stepsbackward to obtain the corresponding letters ofthe next term.So the missing term would be QQSPR.

21. In first row, (6 + 36) ÷ 2 = 42 ÷ 2 = 21In second row, (9 + 81) ÷ 2 = 90 ÷ 2 = 45So, In third row missing number,(7 + 49) ÷ 2 = 56 ÷ 2 = 28.

22. In first row, (3 + 5) × 2 = 8 × 2 = 16In second row, (7 + 9) × 2 = 16 × 2 = 32So, In third row missing number,(11 + 13) × 2 = 24 × 2 = 48.

23. In first row, (1 + 9) ÷ 2 = 10 ÷ 2 = 5In second row, (4 + 12) ÷ 2 = 16 ÷ 2 = 8So, In third row missing number,(7 + 15) ÷ 2 = 22 ÷ 2 = 11.

24. In first row, 3, 4 43In second row, 7, 5 57So, In third row missing number,9, 11 119

25. In first column, (8 × 3 + 1) = 25, 25 × 3 – 1 = 74In second column, (11 × 3 + 1) = 34, 34 ×3 – 1 =101So, In third column missing number,(15 × 3 + 1) = 46, 46 × 3 – 1 = 137

26. In 1st figure, (12 + 28) – (5 × 4) = 40 – 20 = 20In 3rd figure, (25 + 17) – (7 × 3) = 42 – 21 = 21So, in 2nd figure, the digits of the missing numberare : (18 + 6) – (2 × 3) = 24 – 6 = 18

27. In 1st figure, (12 + 25) – (17 + 8) = 37 – 25 = 12,12 ÷ 2 = 6In 2nd figure, (16 + 36) – (22 + 12) = 52 – 34= 18, 18 ÷ 2 = 9So, in 3rd figure, the digits of the missing numberare : (20 + 42) – (18 + 14) = 62 – 32 = 30,30 ÷ 2 = 15

28. In 1st figure, (5 × 4) – (4 × 3) = 20 – 12 = 8In 2nd figure, (6 × 5) – (7 × 4) = 30 – 28 = 2So, in 3rd figure, the digits of the missing numberare : (6 × 7) – (8 × 3) = 42 – 24 = 18

29. In 1st figure, (10 + 6) – (4 + 7) = 16 – 11 = 5In 2nd figure, (12 + 9) – (6 + 13) = 21 – 19 = 2So, in 3rd figure, the digits of the missing numberare : (16 + 10) – (8 + 15) = 26 – 23 = 3

30. In 1st figure, (2 × 4) + (5 × 3) = 8 + 15 = 23In 2nd figure, (3 × 5) + (6 × 4) = 15 + 24 = 39So, in 3rd figure, the digits of the missing numberare : (4 × 6) – (7 × 5) = 24 + 35 = 59

31. In all other groups except HGLIM there is nogap between third and fourth letter.

32. The first and second letter and the third andfourth letter of each group except KOPMoccupies the same position from the beginningand end of the alphabet.

33. In all other groups except EBA there is a gap ofone letter between second and third letter inrevers order.

34. In all other groups except GREAT the vowel arenot together.

35. In all other groups except JGI there is a gap ofone letter between first and second letter.

36. Two no. on left hand side form two perpendicularline pattern. So, no. on right side must havesame pattern. 324258 : 414039.

37. Two no. on left hand side form two parallel linepattern. So, no. on right side must have samepattern. 252943 : 284458.

38. Two no. on left hand side are forming a patternas shown in figure. no. on right must havesame pattern 335961 : 417173.

39. The numbers on the left-hand side form two sidesof a square. The numbers have been chosen in

4343PAGE # 43

continuity. 294457 and 577489 are in continuityand form the other two sides of the same square.

40. Two no. on left hand side are forming a patternas shown in figure. no. on right must havesame pattern 857876 : 757392.

41. The pattern of the series isabba/baab/abba/baabSo, pattern abba/baab is repeated.

42. The pattern of the series ispqrpq/qrpqr/rpqrp.

43. The pattern of the series ismqs/sqm/mqs/sqm/mqs/sqm/mqsSo, pattern mqs/sqm is repeated.

44. The pattern of the series isaabb/bbaa/aabb/bbaaSo, pattern aabb/bbaa is repeated.

45. The pattern of the series isaaabbb/aaabbb/aaabbbSo, pattern aaabbb is repeated.

Sol. : (46 to 50) In TEA and NUT, the common codelatter is i and the common letter is T. So, i standsfor T.In NUT and GAIN, the common code latteris g and the common letter is N. So, g standsfor N and the remaining code letter q stands forU.In TEA and GAIN, the common code latter isf and the common letter is A. So, f stands for Aand the remaining code letter r in TEA standsfor E.In FISH and GAIN, the common code latteris k and the common letter is I. So, k stands forI.Similarly, we can find out the others letter’scode.

Code f r k v g c i qLetter A E I M N R T U

46. Clearly, the code letter for U is q.

47. Clearly, the code letter for M is v.

48. Clearly, the code letter for I is k.

49. Clearly, the code letters for TRAIN are icfkg orfkgic.

50. Clearly, the code letters for EARN are rfcg orfgrc.

Sol. : (51 to 55) Clearly, the numbers are given in theshape of figures are as follow

= 3, =4, = 6, = 0.

51. = 4.

52. + = 6 + 3 = 9.

53. × = 4 × 0 = 0.

54. × ÷ = 4 × 6 ÷ 3 = 4 × 2 = 8.

55. + – = 6 + 4 – 3 = 7.

56.

57.

58.

59.

60. 9 312

6

4444PAGE # 44


14 56

2

3


67. The sum of the numbers on the opposite facesof dice is 7. The unfolded figure of a dice asshown below :

31 6

42

5

Thus, from the figure, we find that the numberopposite to 3 is 4,2 is 5 and 1is 6 so the dice(B) is not possible.

68. From the given figure, we find that the lettersopposite to P is S,T is U and R is Q.So the dice(C) is possible.

69. Possible triangles are :1. ABI, 2. BCI, 3. CDI, 4. AHI, 5. HIJ, 6. GHJ,7. FGJ, 8. FIJ, 9. ACI, 10. HIF, 11. HGF, 12.HIG,13. FGI, 14. AIG, 15. CEG, 16. ACG

A B C

D

EFG

HI

J

71. At 4 PM the position of the sun is in Westdirection. So, Ramesh starts walking from hishouse at 4 PM facing towards West. Themovement of Ramesh from A to D are as shownin fig. clearly, Ramesh’s house is North-Westof Mohan’s house.

RB

C M

73.

Father

+

–

Brother

Mother

LM

N–

P

+

The sex of N is not given hence the exactrelationship b/w N & P cannot be established.

74. The total number of students in the class are= (Sohan’s rank from top + Sohan’s rank frombottom) – 1 = (16 + 49) – 1 = 65 – 1 = 64.

Directions : (1 to 5) In each question there is a numberseries with one term missing, which is shownby question mark (?). Find the missing term outof the given alternatives.

1. 4, 10, 23, 50, 105, ?(A) 215 (B) 210(C) 216 (D) 439

2. 912, 303, 102, 33, ?, 3, 2(A*) 12 (B) 10(C) 8 (D) 6

3. 1, 4, 9, ?, 25, 36(A) 11 (B) 19(C) 21 (D) 16

4. 7, 12, 22, 37, ?, 82, 112(A) 62 (B) 57(C) 52 (D) 42

5. 11, 13, 17, 19, ?, 25(A) 20 (B) 21(C) 23 (D) 22

Directions : (6 to 10) In each question there is a numberseries with one incorrect term. Find out theincorrect term out of the given alternatives.

6. 3, 9, 27, 82, 243(A) 27 (B) 54(C) 82 (D) 162

7. 5, 9, 17, 35, 65, 129(A) 65 (B) 35(C) 17 (D) 9

8. 1, 5, 6, 11, 17, 27, 45, 73(A) 27 (B) 45(C) 17 (D) 11

9. 3, 6, 11, 18, 28, 38, 51, 66(A) 18 (B) 28(C) 38 (D) 51

10. 320, 254, 200, 155, 122, 100, 89(A) 155 (B) 320(C) 254 (D) 200

RAJASTHAN_ NTSE-STAGE-I (YEAR:20093) MAT

Directions : (11 to 15) In each question there is a letterseries with one term missing which is shownby question mark (?). Find the missing term outof the given alternatives.

11. CGJL, FJMO, IMPR, LPSU, ?(A) ORUW (B) OSVX(C) JMPR (D) KORS

12. ADCG, ?, JMLP, QTSW, UXWA(A) PSRV (B) PTSV(C) PRVS (D) PVRS

13. ?, CAFH, YWBD, USXZ, QOTV(A) GELJ (B) INLN(C) GEJL (D) PSNP

14. AYBX, EUFT, IQJP, MMNL, ?(A) QIRH (B) NLOK(C) GSHR (D) PJQI

15. PQMN, NOKL, LMIJ, ?, HIEF(A) KLHI (B) MNJK(C) GHIJ (D) JKGH

Directions : (16 to 20) In each question there are foursets of letters. One set is different from the restthree in some way or the other. Find out thisdifferent set.

16. (A) MPV (B) PSY(C) WZF (D) ZCH

17. (A) EGK (B) LNS(C) SUY (D) ZBF

18. (A) BFL (B) EIO(C) HLP (D) KOU

19. (A) LPCG (B) GKHL(C) BFMQ (D) AEOI

20. (A) ENHO (B) GLHM(C) IJJK (D) KHLI

Directions : (21 to 25) In each question there is arelationship between first two terms. Samerelationship exists in the next two terms. Blankterm (?) is out of the four alternatives given below.Find the correct alternative.

21. EGIK : HJLN : : SUWY : ?(A) VXZB (B) VXBZ(C) VBXZ (D) VZXB

22. DFGE : IKLJ : : NPQO : ?(A) STVU (B) SUTV(C) SUVT (D) SVTU

23. dIk : gLn : : oTv : ?(A) fKm (B) rWy(C) pUw (D) RwY

24. ABC : BCD : PQR : ?(A) RQS (B) SRQ(C) QRS (D) RQP

25. MKig : jhFD : : RPnl : ?(A) OMki (B) oMKi(C) OmkI (D) omKI

Directions : (26 to 30) Each question is based on letterseries in which some letters are missing. In thegiven options missing letter is given in propersequence. Select the correct option of eachquestion.

26. bc _ b _ c _ b _ ccb(A) cbcb (B) bbcb(C) cbbc (D) bcbc

27. ab _ baa _ cb _ ab _ ba(A) cacb (B) bacb(C) cbac (D) abcb

28. ab _ ba _ abab _ _(A) aaaa (B) babb(C) aaba (D) aaab

29. _ bc _ _ bb _ aabc(A) acac (B) babc(C) abab (D) aacc

30. ab _ bca _ a _ a _ c(A) abba (B) ccbb(C) bacb (D) abcc

Directions : (31 to 35) Inside/Outside the circle, certainnumbers are given according to a particular rule.In each question inside/outside the circle, thereis a question mark (?) given. Select the correctanswer for the space marked ?

31. 6 7 ?6 5 73 4 34 5 6

5 3 4

(A) 4 (B) 9(C) 6 (D) 8

32. 5 7 66 9 ?4 18 138 12 11

7 10 7

(A) 9 (B) 8(C) 6 (D) 5

33. 3 4 54 6 88 10 122 4 6

6 8 ?(A) 26 (B) 20(C) 11 (D) 10

34. 14 17 219 1 925 49 44 36 ?

16 9 36(A) 64 (B) 100(C) 81 (D) 144

35. 10 11 ?32 37 5924 30 4520 25 41

28 33 55(A) 14 (B) 13(C) 12 (D) 11

Directions : (36 to 40) Out of nine cells of a square onecell is left blank. In the rest of the cells numbersare written which follow some rule. Get the ruleand find the suitable option for blank cell.

36.2 3 321 7 719 1 ?

(A) 23 (B) 103(C) 91 (D) 19

37.23 48 2546 92 ?31 60 29

(A) 54 (B) 4(C) 46 (D) 138

38.3 5 48 14 1125 ? 34

(A) 44 (B) 43(C) 42 (D) 41

39.30 5 23

?2

38

726

(A) 33 (B) 38(C) 25 (D) 27

40.? 31 5

47 11 2317 2 41

(A) 59 (B) 53(C) 43 (D) 37

50. code for letters in the word TEN are -(A) kgy (B) gkr(C) ykm (D) eyg

Directions : (51 to 53) In each question there are fourterms (Numbers). Out of which three are alikeby some way or other and one is different fromthem. Write the correct option of the differentterm.

51. (A) 1022 (B) 2102(C) 2002 (D) 3002

52. (A) 16 - 96 (B) 21 - 126(C) 13 - 78 (D) 14 - 70

53. (A) 4568 (B) 6789(C) 2345 (D) 5678

Directions : (54 to 56) In the following questions twofigures are given as problem figures. Which ofthe following alternative figures would be formedif the first figure is superinposed on the secondfigure ?

54.

(A) (B)

(C) (D)

55.

(A) (B)

(C) (D)

Directions : (41 to 45) In each question there is somerelation between the first two terms. Samerelationship exists in the next two terms. Themissing term (?) is out of the options given below.Find the correct option.

41. 64 : 16 : : 27 : ?(A) 1 (B) 4(C) 8 (D) 9

42. 9 : 125 : : 16 : ?(A) 216 (B) 210(C) 204 (D) 198

43. 6 : ? : : 20 : 130(A) 24 (B) 30(C) 36 (D) 40

44. ? : 6 : : 12 : 20(A) 0 (B) 2(C) 3 (D) 4

45. 10 : 26 : : 50 : ?(A) 142 (B) 132(C) 122 (D) 112

Directions : (46 to 50) According to a code language,words in column I are given in column II. Decodethe language and choose the correct code foreach of the words given in the followingquestions.

Column-I Column-IISET yxgSIGN pxrkPOT ymaNINE kgpkROSE xgae

46. code for letters in the word STONE are -(A) kgxmp (B) akygx(C) ayxkr (D) agxyp

47. code for letters in the word PRINT are -(A) mekxr (B) epkya(C) epykm (D) epgmk

48. code for letters in the word GROSS are -(A) raaex (B) exxmp(C) xerrg (D) axrex

49. code for letters in the word SOON are -(A) kxxa (B) xkpp(C) aakx (D) kkar

56.

(A) (B)

(C) (D)

Directions : (57 to 59) Given questions are based onthe arrangement of numbers 1 to 49 in the formof a pyramid. In each question two sets ofnumbers given on the left of sing (: :) which arerelated in some way or other. Same relationshipis between two sets on the right with one blankterm. Select the correct option for the blankterm.

137

13213143 44 45 46 47 48 49

26121110

18172726

3837 39 40 41 4228 29 30

19 20

548 914 15 1622 23 24 2532 33 34 35 36

57. 2 6 5 11 : 3 7 8 14 : : 5 12 20 29 : ?(A) 7 14 22 31 (B) 9 15 22 33(C) 7 12 20 31 (D) 3 6 12 19

58. 5 6 12 19 : 22 21 33 44 : : ? : 16 24 23 33(A) 12 20 21 31 (B) 12 20 31 43(C) 14 13 21 20 (D) 15 23 22 31

59. 3 7 12 : 11 19 28 : : ? : 16 24 35(A) 6 12 20 (B) 8 14 23(C) 25 35 46 (D) 13 21 31

Directions : (60 to 61) There is some relationshipbetween the two figures on the left of the sign(: :). The same relationship exists between thetwo terms on the right of which one is missing.Find the missing one from the given alternatiaves.

60. : :: : ?

(A) (B)

(C) (D)

61. : :: : ?

(A) (B)

(C) (D)

Directions : (62 to 63) Questions are based on VennDiagram. Circle stands for rural, Triangle standsfor educated, square stands for hard-working andRectangle stands for intelligent persons.Numbers given represent serial number of thearea.

3

987

1

2 5 13

4 11

106

62. Which area represents “Intelligents, hard-working and educated but not rural” persons ?(A) 12 (B) 10(C) 4 (D) 3

63. Which area represents “Hard-working andintelligent but neither rural nor educated” persons?(A) 11 (B) 5(C) 3 (D) 4

Directions : (64 to 65) In the following questions, apattern is given with a part missing which isindicated by a question mark. Find out from thealternative figures the part which would go inplace of the question mark to complete thepattern.

stage i 2005 ntse paper...stage i 2005 ntse paper directions : in each of the questions 1 to 5,...

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