MAT Paper-1

Time : 1½ Hr. Max. Marks : 100

GENERAL INSTRUCTIONS

1. The booklet given in the examination hall is the Question Paper.

2. A student has to write his/her answers in the OMR sheet by darkening the appropriate bubble with the help of HB Pencil as the correct answer(s) of the question attempted.

3. The question paper contains 100 questions. Each carries one mark.

4. Blank papers, clip boards, log tables, slide rule, calculators, mobile or any other electronic gadgets in any form is not allowed.

5. Write your Name & Roll No. in the space provided in the bottom of this booklet.

6. There is no negative marking. Do not spend too much time on a particular question.

7. Before answering the paper, fill up the required details in the blank space provided in the answer sheet.

ALL INDIA NTSE (STAGE-II) TEST SERIES

MOCK TEST # 1

CLASS -X

MENTAL APTITUDE TEST (MAT)

Directions : (1 to 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. 1, 4, 10, 19, 31, ? (A) 56 (B) 46 (C) 76 (D) 59 2. 2, 5, 12, 27, 58, ? (A) 121 (B) 144 (C) 117 (D) 101 3. 121, 112, 104, 97, 91, ? (A) 68 (B) 89 (C) 87 (D) 86 4. 17, 26, 37, 50, 65, 82 ? (A) 91 (B) 121 (C) 110 (D) 101 5. 444, 300, 200, 136, 100, ? (A) 86 (B) 96 (C) 84 (D) 90

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.

CHAIN – qvmca RAIL – laqn TIN – ajc CRANE– nmwqc ROSE – xgnw SON – xcg 6. SEAT (A) xjwq (B) qcwx (C) xwqj (D) wjqx 7. SOIL

(A) wgnl (B) xgal (C) agxl (D) gwal

8. CLOSE (A) wmxgl (B) glmwx (C) mlgxw (D) xglwm 9. ROLE (A) lwgn (B) wgnl (C) nwlg (D) nglw 10. NEST (A) cwxl (B) jwcx (C) cwxj (D) xjwc 11. TRAIN

(A) jnqac (B) jqnac (C) jcnaq (D) jancq

Space For Rough Work

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.

12. 5 28 2 3 4 6 ? 3 4 7 (A) 66 (B) 48 (C) 30 (D) 60 13. 8 0 6 11 3 16 2 8 22 4 11 ? 9 28 5 (A) 12 (B) 13 (C) 14 (D) 15 14. 6 1 2 5 4 36 3 5 6 8 ? 2 4 7 9 (A) 64 (B) 100 (C) 144 (D) 121 15. 65 35 28 42 40 59 37 23 19 20 26 42 30 15 ? (A) 10 (B) 30 (C) 60 (D) 61 16. ? 2 4 6 5 18 (A) 30 (B) 36 (C) 39 (D) 35 17. 2 5 36 4 7 6 9 46 5 3 10 3 ? 7 5 (A) 66 (B) 50 (C) 56 (D) 60

Directions (18 to 19) : There is some relationship between the two figure on the left of the sign (: :). 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 4 alternatives.

18. : : : : ?

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

19. : : : : ?

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

Directions (20 – 25) : Understand the following four letter series carefully.

(Series)

(A) AYZ, BXY, CWX, DVW (B) BCS, FDR, JEQ, NFP

(C) PAK, MDL, JGM, GJN (D) CHM, DIN, EJO, FKP

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.

20. YAB 21. RGO 22. APP 23. FTU 24. GLQ 25. ZIM

Space For Rough Work

Directions (26 to 28) Examine the following letter-number series. Based on this, find out the answers for

ques-tions 26 – 28.

F 6 Z 7 1 T 3 U X R 5 9 P 4 B A 7 8 D 4 6 F G H 2 P 3 Q R 2

26. 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

27. 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

28. Which of the following is exactly in the middle between the 8th _{letter/number from the left end and the 9}th letter/number from the right end of the given sequence ?

(A) P (B) B (C) 9 (D) 4

29. If ‘WATER’ is coded as ‘VZSDQ’ then ‘FREEZE’ can be coded as

(A) PQGGVG (B) DMGGBG (C) GQFDYF (D) EQDDYD

30. 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

31. If ‘FULFNHW’ is the code for ‘CRICKET’ then ‘EULGH’ is the code for which word ?

(A) PRIZE (B) BLADE (C) BLIND (D) BRIDE

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

(A) HJFZIV (B) HJFZVI (C) HJFZLX (D) HZIFJV

33. FOUR is written as GNVQ. TIME may be written as

(A) SHLD (B) SHLF (C) UJND (D) UHND

34. How many triangles are there in the following figure ?

35. How many square are there in the following figure ?

(A) 12 (B) 18 (C) 17 (D) 19

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 four optional the transparent sheet along the dotted line. Find the correct answer from the given four options and indicate its number in the answer sheet.

36. Transparent Sheet

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

37. Transparent Sheet

Space For Rough Work

38. Transparent Sheet

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

39. Transparent Sheet

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

Directions (40 to 45) : are based on letter series. In each some letters are missing. Find the missing letters in

proper sequence from the four alternatives given.

40. c – – c a – c a – – a b c (A) c b c a b (B) a b a c c (C) a b b b c (D) a b a b c 41. m n n – – m n – – m m n – n m (A) n m n n n (B) n m m n n (C) n m m n m (D) m n n m n 42. p – q r – r p q – r r – p q – r (A) q r r q q (B) p r q r p (C) p r q r q (D) q r q r q 43. x x – – y – x – y y x – x y y (A) y y x x y (B) x y x x x (C) x x y y y (D) x y y y y 44. l m o – – l – o m – l – o – o l (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 45. – a c b c – c b c a c – c a – b c – c b c a (A) b c a c b (B) a c b a c (C) c a b c a (D) b a c a b

46. If P denotes + ; Q denotes – ; R denotes × and S denotes  then which of the following statement is correct?

(A) 16 R 12 P 49 S 7 Q 9 = 200 (B) 32 S 8 R 9 = 160 Q 12 R 12 (C) 8 R 8 P 8 S 8 Q 8 = 57 (D) 36 R 4 S 8 Q 7 P 4 = 10

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

From the set of the four answer figures given, find the figure that would establish the same relationship between the next two figure.

47. Problem Figures

?

?

?

Space For Rough Work

50. Problem figures :

?

Answer figures :

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

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 direction is he from his starting point ?

(A) South West (B) South (C) North West (D) South East

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 reach his home straight.

(A) 10 km (B) 15 km (C) 20 km (D) 25 km

53. If E = 5; PEN = 35; then PAGE = ?

(A) 27 (B) 28 (C) 29 (D) 36

54. If A = 26 SUN = 27 then CAT = ?

(A) 24 (B) 27 (C) 57 (D) 58

55. If A = 2; M = 26; Z = 52 then BET = ?

(A) 44 (B) 54 (C) 64 (D) 72

56. If O = 16; FOR = 42 then what is FRONT equal to

(A) 61 (B) 65 (C) 73 (D) 78

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.

32 23 9

41 14 27

86 ? 18

58. 1 4 9 64 125 216 ? 4096 6561 (A) 343 (B) 2401 (C) 3025 (D) 6050 59. 19 3 8 8 7 15 11 ? 13 (A) 2 (B) 4 (C) 6 (D) 8 60. 14 4 6 16 5 7 18 ? 8 (A) 6 (B) 9 (C) 10 (D) 12 61. 1 3 6 4 6 ? 7 9 18 (A) 27 (B) 25 (C) 12 (D) 14

Directions: In items 62 to 65, a relationship exists between the first and second word. The same relationship

exists between third and fourth word. Choose the fourth word from the given alternatives.

62. Chain : Neck : : Ring : ?

(A) Gold (B) Ornament (C) Beautiful (D) Finger

63. Doctor : Patient : : Teacher : ?

(A) Hospital (B) School (C) Teaching (D) Student

64. Food : Hunger : : Water : ?

(A) Drink (B) Thirst (C) Eat (D) Liquid

65. Monday : Wednesday : : Wednesday : ?

Space For Rough Work

Directions : Questions (66 - 70) In the diagram given below, square stands for scientists, triangle for

mathema-ticians, 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.

7 6 5 4 3 1 2 8 9 10 11 12 15 14 13 18

66. The number of persons who are scientists, mathematicians, writers and philosophers is :

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

67. The number of persons who are scientists, mathematicians, non writers but are philosophers is :

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

68. The number of persons who are scientists, mathematicians and writers, but not philosophers is

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

69. The number of persons who are not scientists and mathematicians, but are writers and philosophers is

(A) 11 (B) 12 (C) 13 (D) 14

70. The persons who are scientists and philosophers, but not mathematicians and writers is :

(A) 11 (B) 12 (C) 13 (D) 14

Directions : (71 – 74) : There is some relationship 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 4 alternatives.

71. BCD : PQR : : XYZ : ? (A) TUV (B) FGH (C) RST (D) LMN 72. 1725 : 2636 : : 3749 : ? (A) 3764 (B) 5049 (C) 5064 (D) 3074 73. 2 : 7 : : 6 : ? (A) 39 (B) 37 (C) 25 (D) 52

74. BYCX : DWEV : : FUGT : ?

Directions : In questions 75 – 79 there are four groups of letters in each. One of these groups is different from the

rest in some way. Find the one which is different.

75. (A) A B C D (B) M N O P (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

77. (A) L J H F (B) P L H D (C) N J F B (D) G C Y U

78. (A) F I L O (B) H K N Q (C) P S V Y (D) 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

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 ?

80.

?

?

?

Space For Rough Work 83.

?

?

Directions (86 to 90) : In each of the following questions, there is a diagram marked (X), with one or more dots placed in it. The diagram is followed by four other figures, marked (A), (B), (C) and (D) only one of which is such as to make possible the placement of the alternative in each case.

86.

(X)

87. (X) (A) (B) (C) (D) 88. (x) (A) (B) (C) (D) 89. (x) (A) (B) (C) (D) 90. (X) (A) (B) (C) (D)

Space For Rough Work

Directions : (91 to 95) A cuboid of dimensions (12 cm  8 cm  2 cm) is painted black on both the surfaces

of dimensions (8 cm 2 cm), green on the surfaces of dimensions (12 cm 8 cm). and red on the

surfaces of dimensions (12 cm 2 cm). Now the block is divided into various smaller cubes of side

2 cm. each. The smaller cubes so obtained are separated.

91. How many cubes will have atleast three surface coloured ?

(A) 16 (B) 12 (C) 10 (D) 8

92. How many cubes will be formed ?

(A) 6 (B) 12 (C) 16 (D) 24

93. If cubes having only black as well as green colour are removed then how many cubes will be left ?

(A) 4 (B) 8 (C) 16 (D) 30

94. How many cubes will have 4 coloured sides and 2 sides without colour ?

(A) 8 (B) 4 (C) 16 (D) 10

95. How many cubes will have two sides with green colour and remaining sides without any colour?

(A) 12 (B) 10 (C) 8 (D) 4

Directions : (96 to 97) In each of the following questions four positions of the same dice have been shown. You have to see these figures and select the number opposite to the number as asked in each question.

96.

(i) (ii) (iii) (iv) Which number is opposite to number 5 ?

(A) 4 (B) 6 (C) 1 (D) 3

97.

(i) (ii) (iii) (iv)

Which symbol will come opposite to symbol

98. Which of the following dices is identical to the unfolded figure as shown here ? P T R S U Q (A) P S T (B) Q T R (C) P S U (D) P T Q

99. Three positions of the same dice are given below. Observe the figures carefully and tell which number will come in place of ‘?’

(A) 1 (B) 6 (C) 3 (D) 5

100. A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has.” A and B together have 10 cards

more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have?