dignostic test

NTSE(STAGE-I)

WORK SHOP

DIAGNOSTIC TEST

Time : 1½ Hr. Max. Marks : 90

IIT-JEE | AIPMT | AIEEE | OLYMPIADS | KVPY | NTSE

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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. Paper carries 90 questions each of 1 (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.

8. In case of any dispute, the answer sheet available with the institute shall be final.

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WORK SHOP_NTSE_ STAGE-I _DIAGNOSTIC TEST_PAGE #1

DIAGNOSTIC TEST PAPER

1. The number 40500 is said to end in two zeroes. How many zeroes are in the end of (51999× 21998 × 102000)-(A) 1999 (B) 2000 (C) 3998 (D) 3999

2. If the line AB||CD then the value of xº in the given figure -

B D

A C25º

xº105º

P

(A) 105 (B) 130 (C) 150 (D) 160

3. 5 persons complete 10 jobs in 20 minutes, how many minutes will 30 persons take to complete 30 similarjobs ?(A) 10 (B) 40 (C) 360 (D) 180

4. The number x = 1.242424.... can be expresed in the form x = qp

, where p and q are positive integers

having no common factors. Then p + q equals(A) 72 (B) 74 (C) 41 (D) 53

5. If xy = 6 and x + x2y + xy2 + y = 63 then x2 + y2 is equal to -(A) 23 (B) 55 (C) 69 (D) 81

6. Let p = 3 3 3 3 .........xxxx then p is same as-

(A) x (B) 2x3 (C) 2x27 (D) 3x27

7. The age of a father is thrice that of the elder son. Ten years hence the age of the father will be four-timesthat of the younger son. if the difference of ages of the two sons is 12 year, then the age of the father is -(A) 90 years (B) 80 years (C) 64 years (D) 54 years



8. In the given figure, OBC = 40º and ABO = 15º, then OCA is equal to �

40º15º

O

A

CB

(A) 15º (B) 25° (C) 35° (D) 55°

9. If baba

=

51

, then the value of 22

22

ba

ba

will be :

(A) 3 : 2 (B) 2 : 3 (C) 5 : 13 (D) 13 : 5

10. In an examination A got 10% marks less than B, B got 25% marks more than C, C got 20% marks lessthan D,. If A got 360 marks out of 500, the percentage of marks obtained by D was.(A) 70 (B) 75 (C) 80 (D) 85

11. Incomes of A, B and C are in the ratio 7 : 9 : 12 and their expenditures are in the ratio 8 : 9 : 15. If A saves25% of her income then their savings are in the ratio -(A) 56 : 69 : 99 (B) 56 : 99 : 69 (C) 69 : 56 : 99 (D) 99 : 56 : 69

12. Surface area of a cuboid is 22 cm2 and sum of the length of all its edges is 24 cm. The length of eachdiagonal of the cuboid (in cm.) is -

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

13. One of the angles of a triangle is 144º, then the angle between the bisectors of the acute angles of the

triangle is :(A) 18° (B) 36° (C) 162º (D) 172°

14. The value of

22

31

×

22

32

21

23

is �

(A) 81 (B) 36 (C) 811

(D) 361



15. HCF and LCM of two expressions are (x � 6) and (x + 6)(x � 1)(x � 6) respectively. If one of the expressions

is x2 � 7x + 6, then the other expression is -

(A) (x � 6)(x � 1) (B) (x + 6)(x � 1) (C) (x + 6)(x � 6) (D) (x2 � 7x + 6)(x � 1)

16. In what time a capital becomes five times at the interest rate of 10%.(A) 10 years (B) 30 years (C) 40 years (D) 50 years

17. In the given diagram B = C = 65º and D = 30º, then the true statement is �

(A) BC = CA (B) CA > CD (C) BD > AD (D) AC > AD

18. If (4)3 × (6)4 × (10)5 = 2x × 3y × 5z , then the value of x + y + z is -(A) 12 (B) 15 (C) 20 (D) 24

19. A sold a comodity to B with 10% profit. If B resold the same comodity to A with a loss of 10%, then A willhave -(A) 1% loss (B) 11% loss (C) 1% profit (D) 11% profit

20. a, b, c are three numbers such tha.t the average of a and b is 4, that of b and c is 5 and that of a and c is12. The average of all the three numbers is:(A) 21 (B) 12 (C) 7 (D) 5

21. For a concave mirror of focal length 20 cm, match the entries of column-I with entries of column-II.Column-I Column-II(Object Position) (Image formed)A. 10 cm P. magnified, inverted and realB. 30 cm Q. equal size, inverted and realC. 40 cm R. smaller, inverted and realD. 50 cm S. magnified,erect and virtual(A) A-S, B-Q, C-P, D-R (B) A-S, B-P, C-R, D-Q (C) A-S, B-P, C-Q, D-R (D) A-S, B-R, C-Q, D-P

22. The reciprocal of resistance is :(A) conductance (B) specific resistance (C) voltage (D) current



23. The field strength of a bar magnet is :(A) same throughout the entire length of the magnet (B) greater at the centre of the bar magnet(C) greatest at the poles (D) increased as the magnet ages

24. The source of energy of the Sun is :(A) Fission of hydrogen nuclei (B) Fusion of hydrogen neclei(C) Fission of plutonium nuclei (D) Fusion of plutonium nuclei

25. A ball is thrown vertically upward and after ascending a height of 15m it comes back to the same point.The total displacement of the ball is :(A) zero (B) 15 m (C) 30 m (D) 98 m

26. Pressure varies with force (normal to the surface) F as :(A) F (B) F�1 (C) F2 (D) F�2

27. A force of 4 N acts on a body of mass 40 kg for a distance of 2 m. The kinetic energy acquired by the body is:(A) 16 J (B) 32 × 108 erg (C) 8 J (D) 32 erg

28. Nature of sound wave is-(A) transverse (B) longitudinal (C) electromagnetic (D) none of these

29. Specific heat capacity of water is :(A) 4.2 Kg�1 ºC�1 (B) 42 Kg�1 ºC�1 (C) 420 J kg�1 ºC�1 (D) 4200 J kg�1 ºC�1

30. Human body temperature is normally :(A) 32° F (B) 98.6° F (C) 212° F (D) 98° C

31. The first man made fibre is�(A) Rayon (B) Nylon (C) Polyester (D) Rexin

32. The heaviest particle among the following is �(A) Meson (B) Proton (C) Neutron (D) Electron

33. Which of the following set of pair is correct for hydrogen and oxygen in water by weight and volume ?(A) 1:8 ; 1:2 (B) 8:1 ; 2:1 (C) 8:1 ; 1:2 (D) 1:8 ; 2:1

34. The substance which is used for preservation of food for longer time is �(A) Sodium chloride (B) Sodium benzoate (C) Potassium chloride (D) Citric acid



35. Which of the following element is not found in free state in the nature ?(A) Silver (B) Copper (C) Sodium (D) Gold

36. Rama was asked to list causes of air pollution. She prepared the following list -(a) Burning of coal.(b) Burning of liquefied petroleum gas.(c) Burning of compressed natural gas.(d) occurrence of ozone gas at low altitudesWhich are the correct causes in the above list ?(A) only a (B) a and b (C) a, b and c (D) All the four

37. The chemical formula of the rust is _____ .(A) FeO (B) Fe

2O

3 .xH

2O (C) FeO + Fe

2O

3(D) O

2 + H

2O + FeO

38. Bakelite is an example of_____polymer.(A) thermoplastic (B) thermosetting (C) natural (D) linear

39. The petroleum product which is used as a fuel for electric generators is ______ .(A) petrol (B) diesel (C) LPG (D) lubricating Oil

40. When a ship sails from a sea to a river, it sinks deeper in the water due to the fact that �(A) Sea water is heavier than river water (B) River water is heavier than sea water(C) Sea water has more depth (D) River water has more depth

41. The smallest cell is :(A) RBC (B) Amoeba (C) Neuron (D) Mycoplasma

42. Tonoplast is present(A) in the form of fluid in a cell (B) as membrane of vacuole(C) around chloroplast (D) in food storage cells

43. Adaptations occur in nature due to(A) conscious effort by an organism(B) use and disuse of an organ(C) changes that take place in the genes of reproductive units(D) homeostasis

44. DOTS is related to which disease ?(A) T.B. (B) Cholera (C) Rabies (D) Typhoid



45. After injury which of the following factor minimises the blood loss ?(A) RBC's (B) WBC's (C) Platelets (D) All of these

46. A man takes large amount of proteins. He is likely to excrete a great amount of(A) Urea (B) Sugar (C) Uric acid (D) None of these

47. Which is the example of legume ?(A) Corn (B) Paddy (C) Bajra (D) Ground nut.

48. Which of the following respiratory organ is present in Cockroach ?(A) Lungs (B) Trachea (C) Gills (D) Skin

49. Where the centres of Reflex action are located ?(A) Vertebral column (B) Spinal cord (C) Small brain (D) Nerve - cell

50. Which of the following under ground structure is a modified stem ?(A) Potato (B) Sweet potato (C) Turnip (D) Carrot

51. The Great Bath was found at-(A) Harappa (B) Mohanjodaro (C) Lothal (D) Ropar

52. Which Sikh Guru helped the rebel prince, Khusrau with money & prayers?(A) Guru Gobind Singh (B) Guru Tegh Bahadur (C) Guru Hargobind (D) Guru Arjun Dev

53. "Dakshin Gangotri" is(A) First nuclear submarine acquired by India(B) The place from where Ganga originates(C) India's permanent station at Antarctica(D) A tributary of river Ganga

54. The Vindhyas belong to which class of mountains ?(A) Block mountain (B) Fold mountain (C) Volcanic mountain (D) Residual mountain

55. Who was the author of Kitab-ul-Hind ?(A) Abu Said (B) Abul Fazl(C) Al-Beruni (D) Firdausi



56. Taj Mahal is an example of which type of architecture?(A) Indo-British (B) Indo-Persian (C) Indo-Greek (D) Indo-Chinese

57. Match the following-Match- I Match-IIa. Wular 1.Rajasthanb. Chilika 2.Orissac. Loktak 3.Manipurd. Nakki 4.Jammu & Kashmir

5. Madhya PradeshCodes-(A) a 5, b 2,c 3, d 4 (B) a 3, b 5,c 2, d 1 (C) a 4, b 2,c 3, d 1 (D) a 4, b 3,c 5, d 2

58. Which one of the following places is known for lignite?(A) Palana (B) Khetri (C) Kolar (D) Korba

59. Comptroller & Auditor General of India is appointed by-(A) Prime-Minister (B) President (C) Finance Minister (D) Speaker of Lok- Sabha

60. Which is the highest gallantry award-(A) Ashoka Chakra (B) Param Vir Chakra (C) Mahavir Chakra (D) None of these

Directions :( 61 to 62) Find the missing terms :

61. 2, 3, 10, 15, 26, ?, 50(A) 32 (B) 33 (C) 34 (D) 35

62. 5, 9, 16, 29, 54, _(A) 92 (B) 89 (C) 79 (D) 103

Directions : (63 to 64) In each question there is a letter series with one term missing which is shown by questionmark (?). Find the missing term out of the given alternatives.

63. YXZWV, XWYVU, (?), VUWTS, UTVSR, TSURQ(A) WXVUT (B) VWTXU (C) WVXUT (D) TVXUW



64. APZLT, CQYNR, ERXPP, GSWRN, ITVTL, (?)(A) KVUUJ (B) KUUVJ (C) JVKVK (D) JUVUK

65. a_bbc_aa_bcca_bbcc(A) bacb (B) acba (C) abba (D) caba

Directions : (66 to 67) Get the rule and find the suitable option for blank cell.

66. 6 11 (25)8 6 (16)12 5 (?)(A) 10 (B) 12 (C) 16 (D) 18

67. 51 (11) 6164 (30) 3235 (?) 43(A) 25 (B) 37 (C) 32 (D) 27

Directions :( 68 to 69) In the following questions which set of signs should complete the asterislks ( sequentiallyin order to make the equation mathematically meaningful ? Find the correct set of signs form among thealternatives given under each question.

68. 30 8 4 36 24(A) ÷, �, =, × (B) +, =, ×, + (C) �, +, ×, ÷ (D) ×, ÷, =, +

69. 12 4 4 16 4(A) ÷, ×, =, + (B) ×, ÷, =, � (C) +, �, ×, = (D) =, +, �, ×

Directions : (70 to 73) Read the following information carefully and answer the questions that follow.There is a group of six students - M, N, O, P, Q and R - in a class. Each of the six students opt for twosubjects one compulsory and one optional. P�s optional subject was geography while three othershave it as a compulsory subject. Q and R have chemistry as one of their subjects. R�s compulsorysubject is physics which is an optional subject of both O and Q. Geography and English are M�ssubjects, as compulsory and optional subjects respectively. Biology is an optional subject of onlyone of them. The only female student in the group is the one who has geography as the optionaland English as the compulsory one.

70. Who is the female student in the group?(A) M (B) N (C) O (D) P

71. What is the compulsory subject of O ?(A) Geography (B) Chemistry (C) Physics (D) English



72. Which of the following has the same compulsory and optional set as that of R ?(A) M (B) Q (C) O (D) None of these

73. Which of the following groups of students have geography as their compulsory subject ?(A) M, O and P (B) O, N, and P (C) O, P and R (D) M, N and O

74. Bittoo who is a male member is 11th in a queue which has 45 people. The number of gents in the queueis double the number of ladies. If 5 men are infront of Bittoo , how many ladies are behind him ?(A) 10 (B) 9 (C) 11 (D) 7

75. How many 5's are there in the following sequence which are immediately followed by 3 but not immediatelypreceded by 7 ?8 9 5 3 2 5 3 8 5 5 6 8 7 3 3 5 7 7 5 3 6 5 3 3 5 7 3 8

(A) One (B) Two (C) Three (D) Four

Directions : (76 to 77) In the following questions, three out of the four alternatives are same in a certain wayand so form a group. Find the odd one that does not belong to the group.

76. (A) April (B) May (C) July (D) September

77. (A) AJKL (B) IBCD (C) ORQP (D) UFGH

78. The number of eggs in a basket doubles every minute. The basket is full of eggs in one hour. When wasthe basket one-eight full ? Give your answer in minutes counting from start.(A) 7.5 minutes (B) 57 minutes (C) 50 minutes (D) 15 minutes

79. In a queue, A is eighteenth from the front while B is sixteenth from the back. If C is twenty-fifth from thefront and is exactly in the middle of A and B, then how many persons are there in the queue ?(A) 45 (B) 46 (C) 47 (D) 48

80. In the given figure how many trapeziums are there ?

(A) 10 (B) 8 (C) 12 (D) 14



81. Which number between 1 and 36 appears twice in the grid, and which number between 1 and 36 is

missing ?

24 10 13 6 8 21

34 15 30 17 14 3

4 25 1 35 31 29

16 20 18 26 11 22

7 36 9 2 16 32

12 33 19 23 27 5

(A) 23 missing and 11 appears twice (B) 23 missing and 16 appears twice

(C) 28 missing and 11 appears twice (D) 28 missing and 16 appears twice

82. 'A' travelled Westwards 5 km, turned left and travelled 3 km, turned right and travelled 9 km. He then

travelled North 3 km. How far was 'A' from the starting point now ?

(A) 3 kms (B) 5 kms (C) 10 kms (D) 14 kms

Directions : (83 to 84) In each of the following questions, there are two terms to the left of the sign :: which

are related in some way. Obtain the same relationship between the term to the right of the sign ::

from one of the four alternatives given under it.

83. Smoke : Pollution : : War : ?

(A) Victory (B) Death (C) Enemy (D) Army

84. Newspaper : Editor : : Film : ?

(A) Actor (B) Director (C) Audience (D) Producer

85. Pointing towards a man in the photograph, Archana said, �He is the son of the only son of my grand-

mother �. How is man related to Archana ?

(A) Cousin (B) Nephew (C) Brother (D) Son



Direction : (86) Complete the figural analogy, by choosing the figures from the given alternatives.

86. : :: : ?

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

Directions : (87 to 88) In the following questions two figures are given as problem figures. Find which of thefollowing alternative figures would be formed, if the first figure is superimposed on the second figure.

87.

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



88.

(A) (B) (C) (D)Direction : (89) In the following question a design is given. One small segment is missing from the design. Select

the alternative which will complete the design when placed on the missing area.

89. ?

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

Direction : (90) A sheet has been folded in the manner as shown in X, Y and Z respectively and punched.You have to choose from the alternatives how it will look when unfolded.

90.

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

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