Mat_Paper 06- Ker

KERELA_ NTSE-STAGE-I (YEAR : 2006) MAT

There are 100 questions in all. For each questions 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 excpet your roll number on the cover page and rough work in the space provided for the purpose.

Directions : In each of the questions 1 to 10 there is a series with one term missing as shown by ‘?’. Find this term form the five alternatives given below. 1. 15, 12, 13, 10, 11, 8, ? (A) 6 (B) 7 (C) 8 (D) 9 (E) 10 2. 7, 10, 9, 12, 11, ?, 13 (A) 12 (B) 13 (C) 14 (D) 15 (E) 16 3. 2, 6, 12, 20, 30, 42, 56, ? (A) 68 (B) 70 (C) 72 (D) 74 (E) 76 4. 4, 7, 11, 16, 22, ? (A) 18 (B) 20 (C) 24 (D) 25 (E) 29 5. 23, 22, 24, 21, 25, 20, ? (A) 24 (B) 26 (C) 21 (D) 28 (E) 30 6. 16, 36, 64, ?, 144, ? (A) 81 (B) 121 (C) 90 (D) 100 (E) 125 7. 1, 1, 2, 6, 24, ? (A) 36 (B) 30 (C) 120 (D) 48 (E) 96 8. 1, 3, 7, 15, 31, ? (A) 62 (B) 16 (C) 32 (D) 63 (E) 64 9. 16, 16, 25, 15, 36, 14, ?, 13 (A) 25 (B) 12 (C) 24 (D) 49 (E) 48 10. 6, 8, 8, 7, 10, 6, ? (A) 12 (B) 10 (C) 9 (D) 4 (E) 8

Directions (11 - 20) : Items 11-20 are based on some ltters given in a series in a set order. Select the answer from the five alternatives given, to continue the series.

11. A - C - E - G - ? (A) H (B) G (C) I (D) K (E) J 12. B - A - Z - Y - ? (A) C (B) U (C) X (D) V (E) W 13. D - G - J - M - ? (A) L (B) R (C) O (D) Q (E) P 14. A - C - F- J - ? (A) G (B) O (C) P (D) H (E) N 15. PQ - ST- VW -? (A) RS (B) AB (C) UV (D) YZ (E) XY 16. GH - JK - MN - ? (A) LM (B) HI (C) OP (D) NO (E) PQ 17. W - V - T - S - Q - ? (A) P (B) H (C) R (D) Y (E) V

2 18. A - E - I - M - Q - ? (A) P (B) U (C) V (D) W (E) Y 19. J - N - R - V - ? (A) X (B) Y (C) P (D) U (E) Z 20. ZB - DF - HJ - NP - ? (A) RS (B) VW (C) TU (D) LQ (E) PR

Directions(21-30): Exam ine the following numbers.Based on this, find out the answers for questions 21-30

958539963685444639902081364293569666

21. How many times 9 comes after 3 ?

(A) 0 (B) 5

(C) 4 (D) 1

(E) 2

22. How many times 8 comes before 5 ?

(A) 0 (B) 1

(C) 3 (D) 2

(E) 4

23. How many 6 comes before 3, but not after 9 ?

(A) 0 (B) 1

(C) 3 (D) 2

(E) 4

24. How many numbers come in between two consecutive numbers (numbers one after the other) ?

(A) 2 (B) 4

(C) 1 (D) 3

(E) 0

25. Find the product of the two most repeated numbers.

(A) 64 (B) 49

(C) 56 (D) 42

(E) 36

26. What is the difference between the missing number and the number of ‘5’ s ?

(A) 4 (B) 2

(C) 0 (D) 1

(E) 3

27. Find the difference between the number of odd digits and the number of zeroes ?

(A) 9 (B) 8

(C) 10 (D) 7

(E) 15

28. What is square root of the first two-digit odd number ?

(A) 4 (B) 5

(C) 6 (D) 9

(E) 8

29. What is the square root of the first two-digit even number ?

(A) 4 (B) 6

(C) 5 (D) 8

(E) 7

30. How many times the same number comes three times one after the other ?

(A) 1 (B) 3

(C) 2 (D) 0

(E) 4

Directions : (31– 35) A firm has cost of production as

shown on the graph.

Symbol A = Raw material cost B = Packing material cost C = Fixed manufacturing expenses D = Labour cost D 49% A B 39.5% 11%C

Study the graph and answer the questions. 31. What is the value of ‘D’ ?

(A) 1.5% (B) 0.05%

(C) 0.5% (D) 5.0%

32. If the total expense of the given firm is Rs. 128.3 lakhs find ‘D’ in rupees.

(A) Rs. 0.06 lakhs (B) Rs. 0.6 lakhs (C) Rs. 0.006 lakhs (D) Rs. 6.0 lakhs 33. What is the cost in rupees of the packing and

raw matierals ? The total expenses of the firm is Rs. 128.3 lakhs.

(A) Rs. 88 lakhs (B) Rs. 111 lakhs (C) Rs. 113 lakhs (D) None of these

34. If the toal cost of labour increases from Rs. 0.6 lakhs to Rs. 2.4 lakhs, what is the percentage of increase ?

(A) 25% (B) 300%

(C) 400% (D) 75%

35. If the total cost of production doubles in a period of one year, what willl be the value of D ? (The initial cost of production is Rs. 128.3 lakhs)

(A) Rs. 10.3 lakhs (B) Rs.1.3 lakhs (C) Rs. 0.13 lakhs (D) Rs. 13 lakhs Directions (36 – 45) : 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 latters in the word. Understand the code for each letters and find out the code for words 36 -45

M A N G O - o p g b s N A M E - r p b s G A N G - p o b o M A N - p b s E N D - e b r 36. EGO

(A) orp (B) gob

(C) org (D) geb

(E) oge

37. AND

(A) ebr (B) peb

(C) bpr (D) epg

(E) peo

38. DOME

(A) rego (B) orgp

(C) pseg (D) rspe (E) rseg 39. GAME (A) orsb (B) srpb (C) srop (D) srpb (E) robg 40. GONE

(A) obrp (B) grob

(C) obrs (D) orbs

(E) srob

41. DEMON

(A) brgep (B) segbr

(C) gpbsr (D) brsoe (E) sebrp 42. AGE (A) ops (B) rpb (C) orp (D) rsb (E) pos 43. DONEE

(A) rgerb (B) ggebs

(C) erebs (D) rresb

(E) bbers

44. MEAN

(A) psob (B) rpob

(C) psro (D) pbrs (E) pgrs 45. MEMO (A) ssrp (B) rsrg (C) ssgp (D) gsrr (E) gsrs

Directions (46 – 60) : There is some relationship

between the two terms (figures/letters/numbers) 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. 46. 4 : 16 : : 8 : ? (A) 84 (B) 18 (C) 36 (D) 80 (E) 64 47. 25 : 49 : : ? : 7 (A) 3 (B) 9 (C) 5 (D) 4 (E) 1 48. 6 : 18 : : 3 : ? (A) 8 (B) 9 (C) 5 (D) 12 (E) 4 49. 1 : 4 : : ? : 16 (A) 8 (B) 4 (C) 12 (D) 9 (E) 1 50. 15 : 45 : : 8 : ? (A) 24 (B) 64 (C) 49 (D) 48 (E) 81 51. OPRQ : ABDC : : PQSR : ?

(A) CDFE (B) QRSO

(C) ACBD (D) BCDA

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52. AACD : MMOP : : ? PPRS

(A) XYZA (B) CCDE

(D) QQPR (D) BBEF

(E) XXZA

53. CADB : RPSQ : : DBEC : ?

(A) RTUS (B) TRUS

(C) YXAZ (D) PRQU (E) QRST 54. ZZAA : CCDD : : ? : EEFF (A) YYXX (B) DDFF (C) BBCC (D) AABB (E) CCDD 55. LMNN : OPQQ : : ? : UVWW

(A) QQOP (B) STUU

(C) STVV (D) RSTT (E) PQRR 56.

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

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X X X X X X X X X X X X

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? • • X X X X • ••• •• X •• X X (A) (B) (C) (D) (E) 58.

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(A) (B) (C) (D) (E) 59.

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? (A) (B) (C) (D) (E) 60.

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

Directions (61– 63) : For each of the times 61 to 63,

choose the correct answer from among the given alternatives.

61. A student divides a number by two when he was required to multiply it by two. The answer he got was 2. The correct answer should have been.

(A) ½ (B) 4

(C) 6 (D) 8

(E) 10

62. How many times between 5 am and 5 pm will the hands of a clock cross ?

(A) 12 (B) 11

(C) 10 (D) 9

63. A man is five years older than his wife and she is 18 years older than her son. The son will be 23 in years time. What is the present age of the father ?

(A) 35 years (B) 40 years

(C) 46 years (D) 52 years

Directions (64 – 73) : A few letters and below it certain

numbers related to it are given. In each questions, 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 is given.

64. H D J F B

1 8 5 4 7

(A) 0 (B) 3

(C) 2 (D) 5

65. B D F I J 6 9 3 2 8 (A) 2 (B) 3 (C) 40 (D) 0 (E) 1 66. B H A C G 4 2 1 3 6 (A) 2 (B) 1 (C) 0 (D) 3 (E) 5 67. D F E I J 7 3 2 4 6 (A) 5 (B) 3 (C) 1 (D) 2 (E) 0 68. D A F H J 9 2 4 3 8 (A) 1 (B) 0 (C) 4 (D) 5 (E) 3 69. F J G C A 4 9 0 6 2 (A) 5 (B) 4 (C) 2 (D) 3 (E) 1 70. G A H C I 0 2 1 5 3 (A) 1 (B) 5 (C) 0 (D) 2 (E) 3 71. H G E B D 2 1 0 6 9 (A) 4 (B) 3 (C) 1 (D) 2 (E) 5 72. V H C J F 6 1 5 8 4 (A) 2 (B) 1 (C) 5 (D) 3 (E) 4 73. F B H C G J 4 7 1 5 0 8 (A) 6 (B) 5 (C) 4 (D) 2 (E) 1

Directions (74 – 76) : There is a figure to the left of

the vertical line. Find out is mirror image from the five alternatives given to the right of the line. 74. (A) (B) (C) (D) (E) 75. (A) (B) (C) (D) (E)

6 76. (A) (B) (C) (D) (E) Directions (77 – 79) :

In the following questions you can find a set of figures. Each figure differs from its neighbour in accordance with a certain trend. Find out which of the five given figures will suit the place indicated by the question mark.

77. ? (A) (B) (C) (D) (E) 78.

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(A) (B) (C) (D) (E) 79. (A) (C) (D) (E) ? (B) (A) (B) (C) (D) (E) Directions (80 – 83) :

In each of the item 80-83 a set of five figures is given. Four of these are similar in the details contained but one is slightly different in the details. Hence it stands out from the rest. Find this odd item.

80. (A) (B) (C) (D) (E) 81. (A) (B) (C) (D) (E) 82. (A) (B) (C) (D) (E) 83. (A) (B) (C) (D) (E) Directions (84 – 85) :

There is some relationship exists between the numbers in the figures. Find which is the number from among the given five alternative to be placed at the questions mark.

84. 10 5 6 62 7 8 4 12 4 2 64 ? (A) 50 (B) 52 (C) 54 (D) 56 (E) 58 85. 6 3 9 18 8 4 ? 6 12 24 24 48 (A) 12 (B) 24 (C) 48 (D) 3 (E) 6

86. How many triangles are there in the given figure ? (A) 16 (B) 13 (C) 19 (D) 22 (E) 25 Directions (87-90) :

Questions 87-90, items to deal with a circle. The numbers in the circle follow a pattern. In each circle there is a question mark. Find out the correct numbr from among the alternatives to fill in that place.

87. 1 2 3 5 7 ? (A) 9 (B) 11 (C) 8 (D) 10 (E) 12 88. 1 2 3 4 4 ? 2 8 (A) 6 (B) 8 (C) 10 (D) 12 (E) 20 89. 1 2 3 4 4 ? 1 16 (A) 9 (B) 18 (C) 25 (D) 36 (E) 49 90. 6 9 ? 18 3 12 (A) 12 (B) 15 (C) 21 (D) 24 (E) 32 91. If AZ = 27 ; DY = 29 ; and GX = 31 what is FZ = ? (A) 32 (B) 33 (C) 34 (D) 35 (E) 31

92. If the word PROMOTION is written as 567873271 in code, how would you write ‘NOTION’ ?

(A) 172371 (B) 173271

(C) 125571 (D) 173217

(E) 172317

93. If A = 2, B = 3, C = 4 and so on, what does the following number stands for ?

21, 6, 2, 4, 9, 6, 19

(A) PENTAGON (B) TEACHER

(C) UPSTAIR (D) SECTION

(E) TRANSIT

94. A husband and wife had five married sons, three unmarried daugheters. The married had four childern each. How many members were there in the family ?

(A) 30 (B) 32

(C) 35 (D) 34

(E) 27

95. If ‘M’ is the square of ‘N’ which is the square root of ‘Q’, then it follows that

(A) M = Q (B) M > N > Q (C) M2 _{= N}2 _{= Q}2 _{(D) M}2 _{= N}

(E) N = Q

Directions (96-98) : In questions 96-98, the mathematical signs do not represent the real ones. However, a pattern has been following identify the real answer.

96. 3x4 _{= 68, 4x}5 _{= 810, 2x}3 _{= 46,}

2x5 _{= _________}

(A) 410 (B) 810

(C) 610 (D) 710

8 97. 18x32 = 3128, 15x36 = 3165. 24x36= 3264, 46x28 = _________ (A) 3486 (B) 2486 (C) 4628 (D) 2846 (E) 8426 98. 2x3 = 49, 3x4 = 612, 4x5 = 815, 2x5 = _________ (A) 615 (B) 620 (C) 415 (D) 215 (E) 630

99. A piece of paper is folded in a particular manner and punch is made. When unfolded, the paper appears as given in the questions. Find out the manner in which the paper is folded and punch is made from the given alternatives.

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

100. From the following two appearances of a die which number is opposite to 2.

5 1 4 5 2 1 (A) 1 (B) 2 (C) 3 (D) 4 (E) 5