Test Paper 3

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

NTSE(STAGE-I) WORK SHOP TEST PAPER # 3 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, 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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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 2.

(B) 100º

(C) 135º

(D) 60º

If ABCD is a parallelogram, CS and BS are the bisectors of C and B respectively, then the measure of S will be : D

C

S

A

(A) 85º 3.

B

(B) 90º

(C) 60º

(D) 45º

In the given diagram, PQRS is a cyclic quadrilateral and O is the centre of circle, then the value of PQS is : Q 56º R P

O 40º

S

(A) 34º 4.

(B) 40º

(C) 50º

(D) 56º

In the given figure BP and CP are bisectors of ABC and ACD, then the value of BPC is –

A

P

80° B (A) 100°

(B) 80°

C

D

(C) 50° Space for rough work

(D) 40°

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 1

5.

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

C E 130º

20

º

A

(A) 100º

6.

B

(B) 110º

(C) 130º

(D) 70º

In PAB, PM = MA and PN = NB, as P moves along the line parallel to side AB, how many of the following four quantities 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 A (A) 0 7.

N B (B) 1

(C) 2

(D) 3

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

R

90º

S

90º

5 P

(A) 14

90º

5

Q

(B) 16

(C) 17

(D) 19

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 2

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 : C

B

40º

A

(A) 20º 10.

O

(B) 40º

(C) 60º

(D) 80º

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

Y D B 0 A C (A) 12 11.

X

E

(B) 12.5

(C) 13

(D) 13.5

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 E O A

(A) 8 12.

(B) 4

D

B

(C) 6

(D) 3

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 to A

F E

B (A) 1.5 cm

G

D

C (B) 2.5 cm.

(C) 5.0 cm.

(D) None of these

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 3

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– S P

B

C

R

A 110º

(A) 40º 14.

Q (B) 50º

(C) 60º

(D) 70º

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 :

A

D E C (A) 10º 15.

(B) 20º

(C) 30º

(D) 80º

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

35

º B

yº

C

(A) z – y = 30º

xº

zº

40º

D

(B) x – y = 40º

E

(C) x + z =140º

(D) y + z = 180º

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 4

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-right corner 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

C

E 0 96

18. A

D

B

In the above figure, AD = CD = BC BCE = 96°, how much is DBC ? (A) 32° (B) 84° (C) 64° A

(D) Cannot be determined

B E

19. D

C

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

In the given figure AB = BC = CD, If BAC = 25º, then value of AED is : C

(A) 50º

D

B

(B) 60º (C) 65º (D) 75º

25º

A

E

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 5

21.

Light has rnaximum velocity in: (A) Air

22.

(B) Water

(D) Glass

(C) both 1 and 2

(D) plane mirror

The mirror used by dentists is : (A) concave mirror

23.

(C) Diamond

(B) convex mirror

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

(A)

(B)

70º

(C)

30º

(D)

40º

24.

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

4

Normal

1 2

(A)

sin 3 sin1

(B)

sin 2 sin1

Normal

3

(C)

sin 5 sin1

(D)

sin 3 sin 4

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 6

25.

4 3 and refractive index of glass with respect to air is . 3 2 The refractive index of glass with respect to water will be If refractive index of water with respect to air is

(A) 2

(B)

9 8

(C)

8 9

(D)

7 6

26.

A fish in water sees an object 24 cm above the surface of water. The height of object above the surface of water 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 Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 7

32.

33.

34.

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 Express 32°C on Fahrenheit scale : (A) 18.432°F (B) 32°F (C) 89.6°F (D) 212°F 1° rise on the Fahrenheit scale : (A) Is same as 1° rise on Celsius scale (C) Is less than 1° rise on Celsius scale

(B) Is greater 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 travelled by(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 300 m? (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

In India black soil is found in the (A) Greater Himalayas. (B) Deccan Trap

(C) Northern Plain

(D) Coastal region.

The highest peak in the Eastern Ghat is: (A) Anaimudi (B) Mahendragiri

(C) Khasi

(D) Kanchenjunga

41.

42.

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 8

43.

44.

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

(D) Sulaiman Range

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 (C) Konkan coast

50.

51.

52.

53.

(B) Malabar coast (D) Andaman and Nicobar.

The administrative headquarters of Lakshadweep is (A) Kavaratti (B) Kadmat (C) Kalpeni Match the following : (a) Corbett National Park (b) Hazaribagh National Park (c) Kanha National Park (d) Shivapuri National Park (A) a - (i), b - (ii), c - (iii), d - (iv) (C) a - (iii), b - (ii), c - (iii), d - (iv)

(D) Kiltan.

(i) Madhya Pradesh (ii) Uttar Pradesh (iii) Maharashtra (iv) Bihar (B) a - (ii), b - (iv), c - (i), d - (i) (D) a - (i), b - (ii), c - (ii), d - (iv)

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

(D) Rajaji

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

(D) 1974

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 9

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

57. 58.

59.

60.

What are the highest tides called as? (A) Neap tide (B) Spring tide (C) Low tide In which of the following state is the Simlipal Bio Reserve located ? (A) Punjab (B) Delhi (C) Orissa

(D) Nagaland

(D) Summer tide (D) West Bengal

Which of the following is a warm current? (A) Labrador ocean current (C) Oyashio current

(B) Gulf Stream ocean current (D) Peru currents

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.

Which of the following animal is available in Tundra region(A) Ziraf (B) Polar Bear (C) Camel

(D) Yak

63.

64.

65.

Selvas is : (A) Temparate Forest (C) Delta Forest

(B) Desert Forest (D) Tropical Evergreen Forest

In which stage of a river, a delta is formed? (A) Initial Stage (B) Youthful Stage

(C) Maturity Stage

(D) Old Stage

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 10

66.

67.

68.

69.

70.

Which river is known as “Sorrow of Bihar” (A) Sone (B) Brahmputra

(C) Kosi

(D) Chambal

Which one is the longest Highway in India(A) NH-5 (B) NH-6

(C) NH-7

(D) NH-8

Easternmost Longitude of India is(A) 82º32’ E (B) 97º25’ E

(C) 97º45’ E

(D) 68º7’E

Delta formed by Ganga-Brahmaputra in India is (A) Sundri delta. (B) Sunderban delta.

(C) Chandrabhaga delta. (D) Sansa delta.

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.

72.

73.

3, 15, 35, ?, 99, 143 (A) 63

(B) 77

1 BR, 2 EO, 6 HL, 15 KI, ? (A) 22 NF (B) 31 NF

84 14 12 (A) 16

81 18

(C) 69

(D) 81

(C) 31 NE

(D) 28 NF

88 ? 11

9 (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 the middle? AIDMURA (A) M (B) R (C) U (D) D Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 11

76.

In a certain code, 786 means bring me apple, 958 means peel green apple and 645 means bring green 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 of B. 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 T II. S is between P and T III. Q is between T and R (A) P (B) Q (C) R

79.

(D) T

In a queue, A is eighteenth from the front while B is sixteenth from the back. If C is twenty-fifth from the front 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 amongst the alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.

80.

(A)

(B)

(C)

(D)

(A)

(B)

(C)

(D)

81.

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 12

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 and punched. You have to choose from the alternatives how it will look when unfolded.

83. X

Y

Z

(A)

(B)

(C)

X

Y

Z

(A)

(B)

(C)

(D)

84.

(D)

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

85. (A) 10

(B) 16

(C) 14

(D) 12

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 13

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.

(X)

87.

(B)

(C)

(D)

(A)

(B)

(C)

(D)

? (X)

88.

(A)

? (X)

(A)

(B)

(C)

(D)

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

89.

(A)

(X)

(B)

(C)

(D)

90.

(X)

(A)

(B)

(C)

(D) Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 14

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 the relationship between them. From the answer figures marked A, B, C and D, pick out the figure which most appropriately completes the series.

92. 1

3

4

(C)

(D)

2

Answer Figure

(A)

(B)

1

2

3

4

(A)

(B)

(C)

(D)

93. 5

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 15

?

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 the question mark in figure (4). Problem Figures

?

95.

(1)

(2)

(3)

(4)

(D)

(E)

ET

?

Answer Figures

(A)

(B)

(C)

Problem Figures

JP (1)

JP

96.

(2)

(3)

(4)

Answer Figures

(A)

(B)

(C)

(D)

Problem Figures

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 16

?

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 are treated both problem Figures as well as the Answer figures.Three out of these five figures are related to each other by way of having some common characteristics ans so form a group. Out of these four, you have to identify one figure which does not belong to group .

CC

AA

(A)

(B)

(C)

(A)

(B)

(C)

(D)

(A)

(B)

(C)

(D)

98.

(D)

99.

100.

Space for rough work

WORK SHOP_NTSE_ STAGE-I _ TEST PAPER-3_PAGE # 17