test paper 3

NTSE(STAGE-I)

WORK SHOP

TEST PAPER # 3

Time : 1½ Hr. Max. Marks : 100

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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. The question paper contains 100 questions, 20 question from Mathematics (1-20), 20 question from

Physics(21-40), 30 question from Social Science (41-70) and 30 question from Mental Ability

(70-100) 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 _ TEST PAPER-3_PAGE # 1

NTSE STAGE-I _WORK SHOP _TEST PAPER-3

1. In the given figure lines p and q are parallel. Find value of x so that lines l and m be parallel.

(A) 45º (B) 100º (C) 135º (D) 60º

2. If ABCD is a parallelogram, CS and BS are the bisectors of C and B respectively, then the measure ofS will be :

CD

A B

S

(A) 85º (B) 90º (C) 60º (D) 45º

3. In the given diagram, PQRS is a cyclic quadrilateral and O is the centre of circle, then the value of PQSis :

R

Q

P

S

40º

56º

O

(A) 34º (B) 40º (C) 50º (D) 56º

4. In the given figure BP and CP are bisectors of ABC and ACD, then the value of BPC is �

A

B C D

P80°

(A) 100° (B) 80° (C) 50° (D) 40°



5. In the diagram, if AEB = 130º and EBC = 20º, then BDA will be :

A

20º130º

B

D C

E

(A) 100º (B) 110º (C) 130º (D) 70º

6. In PAB,PM = MA and PN = NB, as P moves along the line parallel to side AB, how many of the following fourquantities change ?(A) the length of the line segment MN (B) the perimeter of ABP(C) the area of ABP (D) the area of trapezium ABNM

P

M N

A B(A) 0 (B) 1 (C) 2 (D) 3

7. In the given figure Q = R = S = 90º and PQ = QR = 5, RS = 10, ST = 3, then the length of PT will be

P

RS

T

Q90º

90º

90º103

5

5

(A) 14 (B) 16 (C) 17 (D) 19



8. Let ABC be an equilateral triangle and AD be the altitude through A. Then(A) AD2 = 3BD2 (B) AD2 = 5BD2 (C) AB2 + AC2 = BC2 (D) AD2 = 2BD2

9. In the below figure O is the centre of the circle and ABC = 40º, the value of AOC is :

O

BC

A

40º

(A) 20º (B) 40º (C) 60º (D) 80º

10. In the figure given below YOX is an angle. BA II DC and BC II DE. If OA = 2cm., AC = 3cm. andOB = 4cm. then OE = ---------- cm.

D

Y

0

B

A C E X

(A) 12 (B) 12.5 (C) 13 (D) 13.5

11. In the following triangle, median CD = 12 cm, and point O is the intersection point of medians CD and BE,

then find length of side OD -C

A BO

E

D

(A) 8 (B) 4 (C) 6 (D) 3

12. In triangle ABC a median AD is draw form A and E is the mid-point of AD. Producing BE. it cuts AC at F.

DG parallel to EF and DG cuts AC at G, AC = 7.5 cm. then the length of AF equal toA

E

F

D

G

B C

(A) 1.5 cm (B) 2.5 cm. (C) 5.0 cm. (D) None of these



13. In the given figure AP, BQ,CR and AS are straight lines, such that AS|| BQ and AB=BC. If QCR =110º

then measure of BAS is�

Q

110º

B

S

AR

P

C

(A) 40º (B) 50º (C) 60º (D) 70º

14. In the figure below AB = AC and BAC = 20º. The points D on AB and E on AC are such that AD= DE=

EC. Then BDC euqals :

DE

C

A

(A) 10º (B) 20º (C) 30º (D) 80º

15. In a circle two chords AB and CD intersect at an external point E. If A = 35º, E = 40º, BCD = xº,

ABC = yº and ADE = zº, then false statement is :

A

B

ED

C

35º

yº

40ºzºxº

(A) z � y = 30º (B) x � y = 40º (C) x + z =140º (D) y + z = 180º



16. An angle is 20 degrees less than 1/4 th of its supplement. The complement of the angle is -(A) 30º (B) 50º (C) 70º (D) 10º

17. A square board side 10 centimeters, standing vertically, is tilted to the left so that the bottom-rightcorner is raised 6 centimeters from the ground

6 cm

By what distance is the top-left corner lowered from its original position ?(A) 1 cm (B) 2 cm (C) 3 cm (D) 0.5 cm

18.

CE960

A D B

In the above figure, AD = CD = BC BCE = 96°, how much is DBC ?(A) 32° (B) 84° (C) 64° (D) Cannot be determined

19.

A

D

B

C

E

In the above figure, ABCD is a square and BCE is an equilateral triangle, what is the measure of angleDEC ?(A) 15° (B) 30° (C) 20° (D) 45°

20. In the given figure AB = BC = CD, If BAC = 25º, then value of AED is :

(A) 50ºB

CD

EA

25º(B) 60º

(C) 65º

(D) 75º



21. Light has rnaximum velocity in:

(A) Air (B) Water (C) Diamond (D) Glass

22. The mirror used by dentists is :

(A) concave mirror (B) convex mirror (C) both 1 and 2 (D) plane mirror

23. Which of the following correctly depicts reflections in case of plane mirrors inclined at 400 ?

(A) (B)

(C) 30º

40º

70º(D)

24. Figure shows a ray of light being refracted at an air - glass surface. The value of refractive index of glasswith respect to air is :

Normal4

21

3Normal

(A) 1sin3sin

(B) 1sin2sin

(C) 1sin5sin

(D) 4sin3sin



25. If refractive index of water with respect to air is 34

and refractive index of glass with respect to air is 23

.

The refractive index of glass with respect to water will be

(A) 2 (B) 89

(C) 98

(D) 67

26. A fish in water sees an object 24 cm above the surface of water. The height of object above the surface ofwater that will appear to fish is :(A) 32 cm (B) 8 cm (C) 24 cm (D) 18 cm

27. Which of the following conditions are necessary for total internal reflection to take place at the boundary

of two optical media ?

1. Light is passing from optically denser medium to optically rarer medium.

2. Light is passing from optically rarer medium to optically denser medium.

3. Angle of incidence is greater than the critical angle.

4. Angle of incidence is less than the critical angle.

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

28. Reason for the formation of shadow is that :(A) Light can bend around the opaque bodies(B) Light rays cannot pierce through the opaque bodies(C) Opaque bodies allow the light to pass through them(D) Light shows the phenomenon of diffraction around the objects

29. What type of lens is used for correcting hypermetropia ?(A) Concave lens (B) Convex lens(C) Planoconcave lens (D) Planoconvex lens

30. What type of image is formed always when object is placed beyond the focal length a convex lens will

alway be :

(A) Real and inverted (B) Virtual and inverted

(C) Virtual and magnified (D) Real and magnified

31. Bunty thought that if he mixed 440 gm of ice at 0ºC with 540 gm of water at 80ºC. Then what would remain after

sometime :(A) only ice (B) only water(C) ice and water in same amount (D) ice and water will vapourise



32. Amount of heat lost by 1 kg of water at 100°C to change into 1kg of water vapour at 100°C is :

(A) Less than the heat lost by 1 kg of water vapour at 100°C to turn into 1 kg of water at 100°C

(B) Greater than the heat lost by 1 kg of water vapour to change into 1 kg of water at 100°C

(C) Is same as the heat lost by 1 kg of water vapour at 100°C to turn into water at 100°C

(D) Is sometimes greater than the heat lost by 1 kg of water vapour at 100°C to change into 1 kg of water

at 100°C depending upon the type of flame used

33. Express 32°C on Fahrenheit scale :

(A) 18.432°F (B) 32°F (C) 89.6°F (D) 212°F

34. 1° rise on the Fahrenheit scale :

(A) Is same as 1° rise on Celsius scale (B) Is greater than 1° rise on Celsius scale

(C) Is less than 1° rise on Celsius scale (D) Is same as 1° rise on kelvin scale

35. 10 kg of water at 90°C is cooled to 60°C. Calculate the heat lost by the water. Specific heat capacity of

water is 4200J/Kg(A) 1260 K J (B) 42,000 J (C) 126 J (D) 42,000 K J

36. The product of time period and frequency is-(A) 0 (B) 1 (C) infinite (D) 0 or 1

37. Sound travels at a speed of 350 ms�1 in air. It means that in one second, a distance of 350 m is travelledby-(A) disturbance (B) source (C) listener (D) air

38. A source of frequency 500 Hz emits waves of wavelength 0.2m. How long does it take the wave to travel 300m ?(A) 5 second (B) 2×10�3 second (C) 3 second (D) 60 second

39. If a wave completes 24 cycles in 0.8s, then the frequency of the wave is :(A) 30 Hz (B) 8 Hz (C) 24 Hz (D) 12 Hz

40. Compression is a region of :(A) normal pressure (B) low pressure (C) zero pressure (D) high pressure

41. In India black soil is found in the(A) Greater Himalayas. (B) Deccan Trap (C) Northern Plain (D) Coastal region.

42. The highest peak in the Eastern Ghat is:(A) Anaimudi (B) Mahendragiri (C) Khasi (D) Kanchenjunga



43. The physical feature also called as the roof of the world is(A) Hindukush (B) Kunlun (C) Pamir Knot (D) Sulaiman Range

44. Himalayas in the northeastern part of India is known as(A) Himadri. (B) Purvanchal (C) Himachal. (D) Shiwaliks.

45. The region is famous for the Barchan or crescent shaped dunes in India is(A) Western Ghats (B) Indian desert (C) Northern Plains (D) Southern Plains

46. Which one of the following is the correct explanation of the word, �Corals�?

(A) They are group of islands (B) It is a Peninsula(C) Short living microorganism (D) They are rocks

47. Majuli, the largest riverine island, is formed by river(A) Ganga. (B) Brahmaputra (C) Amazon (D) Araguaia

48. The eastward extensions of the Peninsular plateau are locally known as the(A) Gondwana land (B) Bundelkhand. (C) Malwa plateau. (D) Chotanagpur plateau.

49. The only active volcano of India is located in(A) Lakshadweep island (B) Malabar coast(C) Konkan coast (D) Andaman and Nicobar.

50. The administrative headquarters of Lakshadweep is(A) Kavaratti (B) Kadmat (C) Kalpeni (D) Kiltan.

51. Match the following :(a) Corbett National Park (i) Madhya Pradesh(b) Hazaribagh National Park (ii) Uttar Pradesh(c) Kanha National Park (iii) Maharashtra(d) Shivapuri National Park (iv) Bihar(A) a - (i), b - (ii), c - (iii), d - (iv) (B) a - (ii), b - (iv), c - (i), d - (i)(C) a - (iii), b - (ii), c - (iii), d - (iv) (D) a - (i), b - (ii), c - (ii), d - (iv)

52. The last habitat of the Asiatic lion in the world is(A) Gir forest (B) Ranthambor (C) Simlipal (D) Rajaji

53. In India wildlife protection act was implemented in the year(A) 1970 (B) 1972 (C) 1973 (D) 1974



54. Acacias, palms, euphorbia and cacti are plants common in the(A) Thorn forest. (B) Tropical deciduous forest.(C) Mangrove forest. (D) Evergreen forest.

55. Animals like the Royal Bengal tiger, crocodiles, gharials, turtles and snakes are common in(A) Sunderban delta forests. (B) Gir forest.(C) Madhumalai forest. (D) Kaziranga national park.

56. The Nokrek bio-reserve forest is located in the state of(A) Manipur (B) Meghalaya (C) Mizoram (D) Nagaland

57. What are the highest tides called as?(A) Neap tide (B) Spring tide (C) Low tide (D) Summer tide

58. In which of the following state is the Simlipal Bio Reserve located ?(A) Punjab (B) Delhi (C) Orissa (D) West Bengal

59. Which of the following is a warm current?(A) Labrador ocean current (B) Gulf Stream ocean current(C) Oyashio current (D) Peru currents

60. The following is a type of permanent wind(A) Trade Winds (B) Cyclonic winds (C) Sea breeze (D) Monsoon winds

61. The earth�s weather and climate is being affected by the increased volume of

(A) hydrogen (B) argon (C) nitrogen (D) carbon dioxide.

62. If the parent rock is crystalline igneous, the soil will be(A) alluvial. (B) black. (C) red. (D) laterite.

63. Which of the following animal is available in Tundra region-(A) Ziraf (B) Polar Bear (C) Camel (D) Yak

64. Selvas is :(A) Temparate Forest (B) Desert Forest(C) Delta Forest (D) Tropical Evergreen Forest

65. In which stage of a river, a delta is formed?(A) Initial Stage (B) Youthful Stage (C) Maturity Stage (D) Old Stage



66. Which river is known as �Sorrow of Bihar�

(A) Sone (B) Brahmputra (C) Kosi (D) Chambal

67. Which one is the longest Highway in India-(A) NH-5 (B) NH-6 (C) NH-7 (D) NH-8

68. Easternmost Longitude of India is-(A) 82º32� E (B) 97º25� E (C) 97º45� E (D) 68º7�E

69. Delta formed by Ganga-Brahmaputra in India is(A) Sundri delta. (B) Sunderban delta. (C) Chandrabhaga delta. (D) Sansa delta.

70. Patkai hills, the Naga hills, Manipur hills and the Mizo hills belong to the(A) Greater Himalayas (B) Lesser Himalayas(C) Purvanchal Himalaya (D) Outer Himalayas.

Directions :(71 to 73) Find the missing numbers :

71. 3, 15, 35, ?, 99, 143(A) 63 (B) 77 (C) 69 (D) 81

72. 1 BR, 2 EO, 6 HL, 15 KI, ?(A) 22 NF (B) 31 NF (C) 31 NE (D) 28 NF

73.84 81 8814 18 ?12 9 11

(A) 16 (B) 21 (C) 61 (D) 81

74. If '�' stands for addition, '+' for multiplication, '÷' for subtraction and '×' for division, which one of the

following equations is wrong ?(A) 5 � 2 + 12 × 6 ÷ 2 = 7 (B) 5 + 2 � 12 ÷ 6 × 2 = 13

(C) 5 + 2 � 12 × 6 ÷ 2 = 10 (D) 5 ÷ 2 + 12 × 6 � 2 = 3

75. If the following scrambled letters are rearranged to form the name of a city, which letter will appear in themiddle?AIDMURA(A) M (B) R (C) U (D) D



76. In a certain code, 786 means bring me apple, 958 means peel green apple and 645 means bringgreen fruit which of the following is the code for me ?(A) 8 (B) 6 (C) 7 (D) None of these

77. I run along the sides of square field ABCD where C is to the north east of A and D is to the south east ofB. Starting from A in anticlock wise direction, in which direction shall I be running after crossing B ?(A) North (B) South (C) East (D) West

78. Who among P, Q R, S and T is in the middle while standing in a line ?I. Q is to the right of TII. S is between P and TIII. Q is between T and R(A) P (B) Q (C) R (D) T

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

Directions : (80 to 82) A square transparent sheet with a pattern is given in figure X. Find out from amongstthe alternatives as to how the pattern would appear when the transparent sheet is folded at thedotted line.

80.

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

81.

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



82.

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

Directions : (83 to 84) A sheet has been folded in the manner as shown in X, Y and Z respectively andpunched. You have to choose from the alternatives how it will look when unfolded.

83.X Y Z

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

84.

X Y Z

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

Directions : (85) How many triangles are there in the following figures ?

85.

(A) 10 (B) 16 (C) 14 (D) 12



Directions :(86 to 88) Select a figure from the four alternatives, which when placed in the blank space of figure (X)would complete the pattern.

86.

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

?

87.

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

?

88. ?(X)

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

Directions : (89 to 91) In each of the following questions, choose the alternative figure in which thequestion figure (X) is embedded.

89.

(X) (A)

(B)

(C) (D)

90.

(X)

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



91.

(X)

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

Directions :(92 to 94) Study the problem figures marked 1, 2,3, 4 and 5 carefully and try to establish therelationship between them. From the answer figures marked A, B, C and D, pick out the figure which mostappropriately completes the series.

92.

1 2 3 4

Answer Figure

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

93.

1 2 3 4 5

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



94.?

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

Directions : (95 to 97) Figures 1� and 2 are related in a particular manner. Establish the same relationship

between figures 3 and 4 by choosing a figure from amongst the five alternatives, which would replace thequestion mark in figure (4).Problem Figures

95. ?(1) (2) (3) (4)

Answer Figures

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

Problem Figures

96. ?JP

JP

ET(1) (2) (3) (4)

Answer Figures

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

Problem Figures



97.

(1) (2) (3) (4)

?

Answer Figures

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

Directions : (98 to 100) In these type of questions, five figures numbered (A), (B), (C), and (D) are given.These aretreated both problem Figures as well as the Answer figures.Three out of these five figures are related toeach other by way of having some common characteristics ans so form a group. Out of these four, youhave to identify one figure which does not belong to group .

98. CC AA(A) (B) (C) (D)

99.

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

100.

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

test paper 3

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