Mat_Paper 2008, kerela

KERELA_ NTSE-STAGE-I (YEAR : 2008) MAT 1.

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 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.

Direction : (1 to5 ) In iterms 1 – 5, there is a number series with one item missing shown by (?). This term is one of the five numbers given below it. Find this term from the given alternative. 1.

2.

3.

1, 4, 10, 19, 31, ? (A) 56 (C) 76 (C) 67

(B) 46 (D) 59

2, 5, 12, 27, 58, ? (A) 121 (C) 117 (C) 111

(B) 144 (D) 101

121, 112, 104, 97, 91, ? (A) 68 (B) 89 (C) 87 (D) 86 (C) 78

4.

17, 26, 37, 50, 65, 82 ? (A) 91, 121, 110, 101, 111

5.

444, 300, 200, 136, 100, ? (A) 86 (B) 96 (C) 84 (D) 90 (E) 80

6.

7.

8.

9.

10.

11.

SEAT (A) xjwq (C) xwqj (E) cxqj

(B) qcwx (D) wjqx

SOIL (A) wgnl (C) agxl (E) xgaj

(B) xgal (D) gwal

CLOSE (A) wmxgl (C) mlgxw (E) lwgxm

(B) glmwx (D) xglwm

ROLE (A) lwgn (C) nwlg (E) gnwl

(B) wgnl (D) nglw

NEST (A) cwxl (C) cwxj (E) wxlc

(B) jwcx (D) xjwc

TRAIN (A) Jnqac (C) jcnaq (E) jcqna

(B) jqnac (D) jancq

Directions (12 to 17) : The numbers in the figure/triangle/circle are filled on the basis of some rule. There is blank space as shown by (?). Find out the correct number from the given alternatives to fill in the blank space.

2

12. Directions (6 to 11) : Six 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 capital letters in the word. Understand the code for each letter and find out the code for words, 6 – 11 CHAIN – qvmca RAIL – laqn TIN – ajc CRANE – nmwqc ROSE – xgnw SON – xcg

6

5 28

3

3

(A) 66 (C) 30 (E) 60

(B) 48 (D) 50

22

11 8

0 3

4

7

4

13.

?

6

16

2

28 8

11

4

?

9

5

(A) 12

(B) 13

(C) 14

(D) 15

(E) 16 Pre-foundation Career Care Programmes (PCCP) Division

1 1

5

14.

6

Directions (18 to 19) : There is some relationship between the two figure on the left of the sing (: :). The same relationship exists between the two figure on the right of the sign, of which one is missing. Find the missing one from the given 5 alternatives.

6

1

3

2

36

4

5

8

7 2

18.

?

:

::

:?

4

9

(A) 64

(B) 100

(C) 144

(D) 121

(A)

(B)

(C)

(D)

(E) 81

65

35

15.

59

40 42

37 20

28

19

23

(E) 26

42 ?

15

19.

30

(A) 10

(B) 30

(C) 60

(D) 61

16.

::

(A)

(E) 31

2

?

:

18

:?

(B)

4 6

(C)

5

(A) 30

(B) 36

(C) 39

(D) 35

(D)

(E)

(E) 33 2

17.

5

6

4

3

36 7

9

10

5

5

46

3 ? 7

Directions (20 – 25) : Understand the following five letter series carefully. (Series) (A) AYZ, BXY, CWX, DVW

(A) 66

(B) 50

(C) 56

(D) 60

(E) 26

Pre-foundation Career Care Programmes (PCCP) Division

(B) BCS, FDR, JEQ, NFP (C) PAK, MDL, JGM, GJN (D) CHM, DIN, EJO, FKP (E) SPN, OML, KJJ, GGH 2 2

In questions 20 - 25 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.

31.

If ‘FULFNHW’ is the code for ‘CRICKET’ then ‘EULGH’ is the code for which word ? (A) PRIZE

(B) BLADE

(C) BLIND

(D) PRIDE

(E) BRIDE

20.

YAD

21.

RGO

22.

APP

23.

FTU

(A) HJFZIV

(B) HJFZVI

24.

GLQ

(C) HJFZLX

(D) HZIFJV

32.

In a code language, if ‘CIRCLE’ is coded as ‘XRIXOV’, then how would you code ‘SQUARE’ ?

25.

ZIM

Directions ( 26 to 28) Examine the following letternumber series. Based on this, find out the answers for questions 26 – 28. F6Z71T3UXR59P4BA78D46FGH2P3QR2 26.

27.

(E) HFJIVZ

How many letters (A) and how many numbers (N) are there in the series ? (A) A-18, N-16 (B) A-16, N-18 (C) A-16, N-14 (D) A-18, N-14 (E) A-16, N-17

33.

FOUR is written as GNVQ. TIME may be written as (A) SHLD

(B) SHLF

(C) UJND

(D) UHND

(E) UNHD 34.

How many triangles are there in the following figure ?

How many letters are there in the series which are immediately preceded as well as immediately followed by a number ? (A) 5 (B) 6 (C) 7 (D) 3 (E) 4

(A) 34

(B) 36

(C) 38

(D) 44

(E) 48 28.

29.

30.

Which of the following is exactly in the middle between the 8th letter/number from the left end and the 9th letter/number from the right end of the given sequence ? (A) P (B) B (C) 9 (D) 4 (E) D If ‘WATER’ is coded as ‘VZSDQ’ then ‘FREEZE’ can be coded as (A) PQGGVG (B) DMGGBG (C) GQFDYF (D) EQDDYD (E) EGQQWQ If ‘EXCEL’ is coded as ‘93596’ and ‘PAINT’ is coded as 74128, then how can ‘ACCEPT’ be coded ? (A) 588749 (B) 544879 (C) 455978 (D) 988754 (E) 499578

35.

How may square are there in the following figure ?

(A) 12

(B) 18

(C) 17

(D) 19

(E) 16 Directions (36 to 39) : In each of the following questions, a figure to the left marked as transparent sheet is given and to the right followed by five answer figure. One of these five optional the transparent sheet along the dotted line. Find the correct answer from the given five options and indicate its number in the answer sheet.

Pre-foundation Career Care Programmes (PCCP) Division

3 3

36.

38.

Transparent Sheet

(A)

(C)

Transparent Sheet

(A)

(B)

(C)

(D)

(B)

(D) (E)

39.

Transparent Sheet

(E)

37.

Transparent Sheet

(A)

(A)

(B)

(C)

(D)

(B) (D)

(C)

(D)

Directions (Questions 40 to 45) : are based on letter series. In each some letters are missing. Find the missing letters in proper sequence from the five alternatives given. 40.

(E)

Pre-foundation Career Care Programmes (PCCP) Division

41.

c - - ca - ca - - abc (A) cbcab (C) abbbc (E) cabab

(B) abacc (D) ababc

m n n - - m n - - m m n - n m. (A) n mn n n (B) n m m n n (C) n m m n m (D) m n n m n (E) m n n n m 4 4

42.

48.

p - qr - rpq - rr - pq - r (A) qrrqq

(B) prqrp

(C) prqrq

(D) pprqr

Problem Figures :

?

(E) qrqrq 43.

xx--y-x-yyx-xyy

Answer Figures

(A) y y x x y

(B) x y x x x

(C) x x y y y

(D) x y y y y

(E) x y y x y 44.

(A)

lmo - - l - om - l - o - ol (A) m m o m o m

(B) m o m o m o

(C) m o m o m m

(D) l l m l m o

49.

(B)

(C)

(D)

Problem Figures :

?

(E) l m o m o l 45.

(E)

-acbc-cbcac-ca-bc-cbca (A) b c a c b

(B) a c b a c

(C) c a b c a

(D) b a c a b

Answer Figure

(E) c b c c b (A)

46.

If P denotes + ; denotes – ; R denotes × and S

50.

(B)

(C)

(D)

(E)

Problem figures :

denotes  then which of the following statement is correct ?

?

(A) 16 R 12 P 49 S7 Q9 = 200 (B) 32 S 8 R 9 = 160 Q 12 R 12

Answer figures :

(C) 8 R 8 P 8 S 8 Q 8 = 57 (D) 36 R 4 S 8 Q 7 P 4 = 10 (E) 5 R 7 P 35 S 7 = 15 (A)

Directions (Questions : 47 to 50) In the problem figures in each item there is a definite relationship between the first figure. From the set of

(D)

(E)

51.

Kailash faces towards North, turning to his right he walks. 25 metres, he then turns to his left and walks 30 meters. Then he moves 25 metres to his right. Then he turns to his right and moves 55 metres. Finally the turns to his right and moves 40 meters. In which dirction is he from his starting point ? (A) South West (B) South (C) North West (D) South East (E) North

52.

Ravi left home and went 10 km South wards in his cycle. Then he turned right and cycled 5 km. Again turned right and cycled 10 km and turned left and cycled 10 km. How many kilometers will he have to cycle to

that would establish the same relationship between the next two figure. Problem Figures

? Answer Figures

(C)

Directions (Questin : 51 to 52)

the five answer figures given, find the figure

47.

(B)

reach his home straight. (A)

(B)

(C)

(D)

(E)

(A) 10 km

(B) 15 km

(C) 20 km

(D) 25 km

(E) 30 km Pre-foundation Career Care Programmes (PCCP) Division

5 5

Directions (Questions : 53 to 56) 53.

54.

55.

56.

If E = 5; PEN = 35; then PAGE = ? (A) 27 (B) 28 (C) 29 (D) 36 (E) 32

If A = 2; M = 26; Z = 52 then BET = ? (A) 44 (B) 54 (C) 64 (D) 72 (E) 51 If O = 16; FOR = 42 then what is FRONT equal to (A) 61 (B) 65 (C) 73 (D) 78 (E) 50

32

23

9

41

14

27

86

?

18

(A) 95 (C) 82 (E) 36

58.

(B) 92 (D) 68

1

4

9

64

125

216

?

4096 6561

(A) 343 (C) 3025 (E) 8250

59.

(B) 2401 (D) 6050

19

3

8

8

7

15

11

?

13

4

6

16

5

7

18

?

8

(A) 6 (C) 10 (E) 14

If A = 26 SUN = 27 then CAT = ? (A) 24 (B) 27 (C) 57 (D) 58 (E) 60

Directions : In items 57 - 61 the numbers in the square are filled on the basis of some rule. One square has a question mark. Find out the correct number from the given choices to fill in that square.

57.

60.

14

61.

(B) 9 (D) 12

1

3

6

4

6

?

7

9

18

(A) 27 (C) 22 (E) 12

(B) 25 (D) 14

Directions: In items 62 to 65, a relationship exists between the first and second word. The same relationship exists between thired and fourth word. Choose the fourth word from the given alternatives. 62.

Chain : Neck : : Ring : ? (A) Gold (B) Ornament (C) Beautiful (D) Finger (E) Hand

63.

Doctor : Patient : : Teacher : ? (A) Hospital (B) School (C) Teaching (D) Student (E) Book

64.

Food : Hunger : : Water : ? (A) Drink (B) Thirst (C) Eat (D) Liquid (E) Ice

65.

Monday : Wednesday : : Wednesday : ? (A) Thursday (B) Friday (C) Saturday (D) Tuesday (E) Monday

Directions : Questions (66 - 70) In the diagram given below, square stands for scientists, triangle for mathematicians, rectangle for writers and circle for philosophers. Study the diagram with numbers carefully and choose the correct answer for questions 66 to 70 from among the given alternatives. 18

(A) 2 (C) 4 (E) 6

7

(B) 3 (D) 5

Pre-foundation Career Care Programmes (PCCP) Division

6

5

4 8 2 1 3 9 10 11 12 15 14 13

6 6

66.

67.

68.

69.

70.

The number of persons who are scientists, mathematicians, writers and philosophers is : (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 The number of persons who are scientists, mathematicians, non writers but are philosophers is : (A) 2 (B) 3 (C) 4 (D) 5 (E) 6 The number of persons who are scientists, mathematicians and writers, but not philosophers is (A) 5 (B) 4 (C) 3 (D) 2 (E) 1 The number of persons who are not scientists and mathematicians, but are writers and philosophers is (A) 10 (B) 11 (C) 12 (D) 13 (E) 14 The persons who are scientists and philosophers, but not mathematicians and writers is : (A) 11 (B) 12 (C) 13 (D) 14 (E) 15

Directions : In questions 75 – 79 there are five groups of letters in each. One of these groups is different from the rest n some way. Find the one which is different. 75.

72.

73.

74.

BCD : PQR : : XYZ : ? (A) TUV (C) RST (E) IJK

(C) R S T U

(D) X Z Y A

76.

(A) E D C B

(B) G R I J

(C) N M L K

(D) V U T S

(E) S R Q P 77.

(A) L J H F

(B) P L H D

(C) N J F B

(D) G C Y U

(E) W S O K 78.

(A) F I L O

(B) H K N Q

(C) P S V Y

(D) A D G J

(E) W Z C E 79.

(A) L M O R

(B) N O Q T

(C) X A D E

(D) E F H K

(E) A B D G Directions : (80 – 85) : Each of the items 80 – 85 consists of a square of 9 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 for among the given alternatives to suit the cell indicated by the question mark ?

(B) FGH (D) LMN

1725 : 2636 : : 3749 : ? (A) 3764 (B) 5049 (C) 5064 (D) 3074 (E) 4658 2:7::6:? (A) 39 (C) 25 (E) 36

(B) M N O P

(E) I J K L

Directions : (71 – 74) : There is some relatinship between the two terms (numbers/ letters) on the left 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 on from the given 5 alternatives. 71.

(A) A B C D

80.

?

(B) 37 (D) 52

BYCX : DWEV : : FUGT : ? (A) EHIJ (B) SRHJ (C) HSIR (D) GHIJ (E) ESHU

Pre-foundation Career Care Programmes (PCCP) Division

(A)

(B)

(C)

(D)

(E)

7 7

81.

85.

? (A)

(B)

(C)

?

(D)

(E) (A)

(B)

(C)

(D)

(E)

Below is given an arrangement of letters. While 82.

some spaces are left blank in which numbers 86, 87, 88, 89 and 90 are written. Study the arrangement and find out the letters which will

?

correcly fill the spaces numbered 86, 87, 88, 89 and 90.

A (A)

(B)

(C)

(D)

(E)

N 86 P

E

87 C

Q

F

D

G

U 88

R

S 89 V W

L

K

T

X

90 M

83. 86.

?

(A) B

(B) H

(C) J

(D) O

(E) Y 87.

(A) B

(B) H

(C) J

(D) O

(E) Y (A)

(B)

(C)

(D)

(E)

88.

(A) B

(B) H

(C) J

(D) O

(E) Y 89. 84.

(A) B

(B) H

(C) J

(D) O

(E) Y

? 90.

(A) B

(B) H

(C) J

(D) O

(E) Y (A)

(B)

(C)

Pre-foundation Career Care Programmes (PCCP) Division

(D)

(E)

8 8