Mat_Paper 07 kerela

November 24, 2017 | Author: Nilesh Gupta | Category: Mathematics
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KERELA_ NTSE-STAGE-I (YEAR : 2007) MAT There are 90 questions in all. For each question five alternative answers are given marked as 1, 2, 3, 4, 5. From these, find the correct or most appropriate answer. The number denoting this answer is there in the answer sheet against the question number concerned. Cross (X) that number. Record the answers thus in the answer sheet only. Do not write anything in the question booklet except your Roll Number on the cover page and rough work in the space provided for the purpose.

6.

Questions : 1 – 5 : Direction : In items 1-5, there is a number series with one term missing as shown by (?). This term is one of the five numbers given below it. Find this term from the given alternatives. 1. 15, 16, 19, 20, 23, 24, 27, ? (A) 20 (B) 19 (C) 27 (D) 28 (E) 26

8.

2.

3.

4.

5.

42, 45, 15, 18, 6, 9, 3, ? (A) 6 (B) 12 (C) 4 (D) 3 (E) 8 43, 47, 53, 57, ? (A) 59 (C) 63 (E) 62

7.

9.

10.

(B) 61 (D) 65

11.

8, 13, 23, 43, 84, ? (A) 173 (B) 183 (C) 163 (D) 193 (E) 165

12.

37, 31, 29, 23, 21, ? (A) 15 (B) 18 (C) 17 (D) 19 (E) 20

Questions : 6 – 15 : A few letters and below it certain numbers related to it are given. In each question, some of these letters, and below each, one number is also given. Find out, under how many of these letters, have correct numbers as per the list given. E 6

J 0

G 5

B 1

H 7

A 2

F 9

Pre-foundation Career Care Programmes (PCCP) Division

C 4

I 3

D 8

13.

14.

D A H J E 7 3 6 0 2 (A) 2 (C) 5 (E) 1 B I C F G 1 4 8 9 5 (A) 3 (C) 1 (E) 4 H E A C J 7 6 1 4 0 (A) 2 (C) 5 (E) 3 B J E A C 2 4 6 1 5 (A) 1 (C) 4 (E) 2 J F A D G 9 0 3 1 4 (A) 5 (C) 0 (E) 1 H I B E C 8 4 1 6 5 (A) 1 (C) 5 (E) 2 B F D J H 1 9 8 2 7 (A) 2 (C) 1 (E) 3 C H G A E 3 6 5 1 6 (A) 3 (C) 2 (E) 4 F D J B H 8 3 5 2 7 (A) 3 (C) 2 (E) 1

(B) 4 (D) 3

(B) 5 (D) 2

(B) 4 (D) 1

(B) 3 (D) 5

(B) 3 (D) 2

(B) 0 (D) 3

(B) 4 (D) 0

(B) 5 (D) 1

(B) 0 (D) 4

1 1

15.

B A E C G 2 1 5 3 7 (A) 0 (C) 3 (E) 4

20.

(B) 1 (D) 5

Questions : 16 – 26 : The numbers in the square/circle are filled on the basis of some rule. There is a black space as shown by (?). Find out the correct number from the given alternatives to fill in the blank space.

16.

5 8

13 3

7 15

(A) 22 (C) 18 (E) 150

21.

3

(B) 14 (D) 130

1

22.

3

(B) 36 (D) 25

3

4

7

5 4

6 5

5 ?

(A) 8 (C) 6 (E) 9

3 17.

28 49 45 81 ? 64

(A) 42 (C) 49 (E) 72

? 8

27

7 9 8

(B) 12 (D) 4

7

49 343

4 5

16 25

64 ?

(A) 279 (C) 249 (E) 59

5 243

4

(B) 153 (D) 125

? (A) 36 (C) 81 (E) 729

(B) 45 (D) 279

23.

3

17

5

5 3

? 23

8 7

(A) 40 (C) 22 (E) 42 ?

(B) 43 (D) 5

3 4

16

15

18. 13

5 24. 10

?

21

6 39

(A) 2 (C) 22 (E) 19

19.

(B) 7 (D) 11

1 4 ? 64 9 16 49 36 25

(A) 5 (C) 41 (E) 81

29

(A) 50 (C) 80 (E) 73

(B) 51 (D) 63

24

25. (B) 40 (D) 9

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5

(A) 28 (C) 30 (E) 40

36 17

7

42 25

8

?

(B) 29 (D) 31

2 2

35. 12

26.

13

14

15

13 14

14

15

15

12

12

13

15 ?

13 14

36.

37.

38.

ACT– d n k

30.

31.

32.

33.

34.

(B) aiko (D) koep

SERIES –oaeoep

CAR D – pi k d

29.

DEAR (A) okpe (C) ionp (E) opki

Questions : 37 – 42 : There is some relationship between the two terms (numbers/letters/figures) on the left side of the sign (: :). The same relationship exists between the two terms on the right of the sign, of which one is missing. Find the missing one from the given 5 alternatives.

SEED –ioeo

28.

(B) okeen (D) onoep

(A) 15 (B) 13 (C) 12 (D) 14 (E) 16 Questions : 27 – 36 : Five words in English capital letters and to the right their codes in English small letters are given. But the small letters do not appear in the same order as the letters in the word. Understand the code for each letter and find out the code for words 27 – 36. SCAR E – p ok e d

27.

STEER (A) aikep (C) eekop (E) oopke

RED (A) iod (C) dnp (E) iop TEAR (A) pnoi (C) koni (D) pkno SET (A) neo (C) nko (D) dik

(B) oed (D) pde 39. (B) penk (D) nkoi 40. (B) ien (D) pnk 41.

CITE (A) idoa (C) oand (E) pnio

(B) pkoi (D) dain

DICE (A) diok (C) aodn (E) iadk

(B) pokn (D) doai

TRACE (A) kopno (C) kpnai (E) eiokp

(B) dokpn (D) pkoei

DIET (A) oina (C) iokp (E) pkai

(B) naok (D) nakp

SIDE (A) noak (C) knop (E) kpno

(B) aieo (D) inoa

Pre-foundation Career Care Programmes (PCCP) Division

42.

12 : 30 : : 20 : ? (A) 25 (C) 35 (D) 48

(B) 32 (D) 42

28 : 39 : : 52 : ? (A) 32 (C) 67 (E) 64

(B) 81 (D) 100

3 : 12 : : 48 : ? (A) 96 (C) 108 (E) 164

(B) 144 (D) 192

1:4::8:? (A) 96 (C) 72 (E) 50

(B) 81 (D) 105

1 : 36 : : 2 : ? (A) 40 (C) 69 (E) 142

(B) 70 (D) 49

3 : 10 : : 8 : ? (A) 10 (C) 14 (E) 17

(B) 13 (D) 16

Questions : 43 : 52 : Understand the following five letter series carefully. (Series) (A) ABC, BCD, CDE, DEF (B) CDX, DEW, EFV, FGU (C) CYW, EXV, GWU, IVT (D) CEG, DFH, EGI,FHJ (E) AZY, BYX, CXW, DWV In questions 43 to 52, a term is given which belongs to one of the above series. Find out to which series it belongs and indicate its number in the answer sheet. 43.

ZAB

44.

UVW

45.

BCY 3 3

46.

EVU

47.

ABZ

48.

BDF

49.

AZX

50.

FUT

51.

GHT

52.

KUS

61.

A man started from a place and went 4 km North and turned left and moved 2 km West. Then he again turned left and moved 4 km. How many kilometers is he from the starting point ? (A) 4 km (B) 2 km (C) 6 km (D) 5 km (E) 3 km

62.

How many triangles are there in the following figure ?

Directions (53–55) : Examine the following numbers. Based on this, find out the answers for questions 53 to 55. (A) 20 (C) 30 (E) 44

27127559895054191418 30418 247651275125963998 53.

How many times 5 comes after 0 ? (A) 3 (B) 1 (C) 2 (D) 5 (E) 4

54.

How many times 3 comes before 4 ? (A) 2 (B) 3 (C) 4 (D) 0 (E) 1

55.

How many 9 comes after 1, but not before 8 ? (A) 0 (B) 3 (C) 1 (D) 2 (E) 4

56.

If '8431' is coded as 'PQRS' then '341' is coded as : (A) PQR (B) RQS (C) SQR (D) QRS (E) STU

57.

if 'SILENT' is coded as 'RHKDMS', than 'KDMS' is : (A) LENT (B) JCLR (C) ADMN (D) ZUWS (E) RLCJ

58.

If 'ROSE' is coded as 'QPTD'. Then how will you code 'TPCD' : (A) SQDC (B) RAIN (C) SOUR (D) RING (E) SPDC

59.

If 'LION' is coded as 'JGML' then 'DESK' is coded as : (A) BCRO (B) BOQI (C) BCQI (D) BCQO (E) BCRI

60.

If 'APCZ' is coded as 'BODY', then 'CFKIH' is coded as : (A) LHABI (B) MGKRS (C) DELHI (D) LMNST (E) PQSTR

Pre-foundation Career Care Programmes (PCCP) Division

63.

(B) 24 (D) 36

How many rectangles are there in the following figure ?

(A) 10 (C) 12 (E) 8

(B) 11 (D) 9

Questions : 64 – 67: If a squrare of paper is folded from the centre and cuts are made as shown in the problem figure, how will it appear when it is opened ? Select the appropriate figure from the choices.

64.

(A)

(B)

(C)

(D)

(E)

4 4

65. 67.

(A)

(B)

(C)

(D)

(1)

(B)

(C)

(D)

None of these

None of these (E)

(E)

Directions (68 – 86) : In the problem figures in each 66.

item there is a definite relationship between the first two figures. From the set of the five answer figures given, find the figure that would establish the same relationship between the next two figures. 68. (A)

Problem Figures :

(B)

? (C)

(D)

(E)

Pre-foundation Career Care Programmes (PCCP) Division

Answer Figures :

(A)

(B)

(C)

(D)

(E)

5 5

69.

Problem Figures :

73.

Problem Figures :

?

?

Answer Figures :

(A) 70.

(B)

(C)

Answer Figures :

(D)

(E)

Problem Figures :

(A) 74.

(B)

(C)

(D)

Problem Figures :

?

?

Answer Figures :

(A) 71.

(B)

(C)

(E)

Answer Figures :

(D)

(E)

(A)

(B)

(C)

(D)

(E)

Problem Figures : 75.

Problem Figures :

?

?

Answer Figures : Answer Figures :

(A) 72.

(B)

(C)

(D)

(E) (A)

Problem Figures : 76.

(B)

(C)

(D)

(E)

Problem Figures :

?

?

Answer Figures : Answer Figures :

(A)

(B)

(C)

(D)

(E) (A)

Pre-foundation Career Care Programmes (PCCP) Division

(B)

(C)

(D)

(E) 6 6

77.

Problem Figures :

81.

Problem Figures :

?

?

Answer Figures : Answer Figures :

(A) 78.

(B)

(C)

(D)

(E)

Problem Figures :

(A)

?

82.

(B)

(C)

(D)

(E)

Problem Figures :

Answer Figures :

? (A)

(B)

(C)

(D)

(E) Answer Figures :

79.

Problem Figures :

? Answer Figures :

(A)

83.

(A) 80.

(B)

(C)

(D)

(B)

(C)

(D)

(E)

Problem Figures :

(E)

?

Problem Figures :

?

Answer Figures :

Answer Figures :

(A) (A)

(B)

(C)

(D)

Pre-foundation Career Care Programmes (PCCP) Division

(B)

(C)

(D)

(E)

(E)

7 7

84.

Problem Figures :

?

Directions (87– 90) : Each of the items 87 to 90 consists of a square of nine cells in three rows and three columns. You can see that the designs in each row or column follow same rule. Choose the correct answers from among the given alternatives to suit the cell indicated by the question mark.

Answer Figures :

(A)

(B)

(C)

(D)

(E) 87.

85.

Problem Figures :

?

? Answer Figures :

(A)

(A)

86.

(B)

(C)

(D)

(B)

(C)

(D)

(E)

(E)

Problem Figures :

?

88.

Answer Figures :

(A)

(B)

(C)

?

(D)

(E) (A)

Pre-foundation Career Care Programmes (PCCP) Division

(B)

(C)

(D)

(E)

8 8

90.

89.

?

(A)

(B)

(C)

(D)

?

(E)

(A)

(B)

(C)

(D)

(E)



Pre-foundation Career Care Programmes (PCCP) Division

9 9

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