NTSE stage-1 Mock Test 3

NTSE(STAGE-I) CLASS-X PRACTICE 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. Paper carries 100 questions. 20 question from Mathematics (1–20), 20 question from Science(21-50), 20 question from Social Science (51–70) & 30 question from Mental Ability (71–100) 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. There is no negative marking. Do not spend too much time on a particular question. 6. Before answering the paper, fill up the required details in the blank space provided in the answer sheet. 7. In case of any dispute, the answer sheet available with the institute shall be final.

PCCP OFFICE : Address : C-8, Lakshya, Nursery Plots, Talwandi, Kota (Rajasthan)-324005 Tel. No. :. +91-0744-3022244,3022245, Fax : 022-39167222 | Website : www.pccp.resonance.ac.in E-mail : [email protected]

PRACTICE TEST PAPER-3 (NTSE) 1.

P is point on side BC of ABC such that AP bisects BAC. Then : (A) BP = CP

(B) BA = BP

(C) BP > BA

(D) CP < CA

2.

If the quadratic equation (a – d) x2 + ax + (a + d) = 0 having equal roots then (d2/a2) has the value equal to : (A) sin290º (D) cos260º (C) sin245º (D) cos230º

3.

In ABC , BE and CF are medians. BE= 9cm, CF = 12 cm. If BE is perpendicular to CF, find the area of ABC in sq. cms. (A) 72 (B) 24 (C) 144 (D) Cannot be determined

4.

In a triangle ABC, a straight line parallel to BC intersects AB and AC at point D and E respectively. If the area of ADE is one-fifth of the area of ABC and BC = 10 cm, then DE equals : (A) 2 cm (B) 2 5 cm (C) 4 cm (D) 4 5 cm

5.

Number of integral values of ‘p’ for which the quadratic equation x2 – px + 1 = 0 has no real roots is : (A) 2 (B) 3 (C) 5 (D) infinite

6.

In the given figure, ACB = 90º and CD  AB. Then

BC2 AC2

=?

C

A

BD CD

B

D

CD AD

7.

(C) BD (D) BC CD AD If the hypotenuse of a right angled triangle is 41 cm and the area of the triangle is 180 sq cm, then the difference between the lengths of the legs of the triangle must be : (A) 22 cm (B) 25 cm (C) 27 cm (D) 31 cm

8.

In the diagram, O is the centre of the circle. The angles CBD is equal to :

(A)

(B)

D O

50º

C B

A

(A) 25o

(B) 50o

(C) 40o

(D) 130o

Space for rough work

NTSE_ STAGE-I _PRACTICE TEST PAPER-3_PAGE #1

9.

Triangle ABC is isosceles with AB = AC. The measure of angle BAD is 30º and AD = AE. The measure of angle EDC, is : A E B

(A) 5º 10.

ab –ab

(D) 20º

(B)

ab 2(b – a)

(C)

3ab 2(b – a)

(D)

3ab 4(b – a)

(B) 60º

(C) 90º

(D) 135º

In a right triangle with sides a and b, and hypotenuse c, the altitude drawn on the hypotenuse is x. Then which one of the following is correct ? (A) ab = x2

13.

(C) 15º

In the adjoining figure ABCD is a parallelogram, then the measure of x is :

(A) 45º 12.

(B) 10º

If the first, second and last terms of an A.P. be a, b, 2a respectively, then its sum will be : (A)

11.

C

D

(B)

1 1 1   a b x

(C) a2 + b2 = 2x2

(D)

1 x

2



1 a

2



1 b2

In figure, ABC is circumscribing a circle. Then the length of AB is :

(A) 6 cm

(B) 8 cm

(C) 12 cm

(D) 14 cm



14.

Find the measure of an angle, if six times its complement is 12º less than twice its supplement. (A) 48º.

15.

(B) 1

(C) 2

(D) 3

(B) 8

(C) 10

(D) 11

In the adjoining figure DP is parallel to AC, then the ratio of area of triangle PCB and quadrilateral ABCD is

(A) 1 : 1 18.

(D) 58º.

In figure, AB || DC. Then the value of x =

(A) 7 17.

(C) 52º.

S3 If the sums of n, 2n and 3n terms of an AP are S1, S2 and S3 respectively, then (S  S ) is 2 1 (A) 0

16.

(B) 50º.

(B) 1 : 2

(C) 1 : 4

(D) 2 : 3

In the figure DF || AG, DE || AB, AB = 15, CD = 8, AD = x, DE = 10, FG = y and CG = 6. The ratio x : y equal to :

(A) 1 : 2

(B) 1: 3

(C) 2 : 1

(D) 3 : 2



19.

In the given figure, DEFG is a square and C = 90º, then which of the following is false ? C G 1

A

(A) ADG ~ GCF

2

F

D

B

E

(B) ADG ~ FEB

(C)

AD EB = DG FE

(D) DE2 = AD × EB

20.

Two concentric circles are of radius 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle. (A) 4 cm (B) 6 cm (C) 8 cm (D) 10 cm

21.

Observe the figure given below and identify the correct option Iris

Iris Pupil Pupil

Fig. (A)

Fig. (B)

(A) Intensity of light in surroundings is more in figure A (B) Intensity of light in surroundings is less in figure B (C) More light can enter into eye in fig. B (D) All are correct 22.

A ray of light falls on a prism having one silvered surface, at an incident angle of 45º as shown in figure. After refraction and reflection it retraces the path, then the refractive index of prism material is (prism angle is 30º) : //////////////////////////

30º

45º

(A)

2

(B) 2

90º

(C)

1 2

(D)

1 2



23.

In which of the following case/cases spectrum will be obtained R O Y G B I V

R O Y G B I V

(A) white light

(B) white light

R O Y G B I V

(C)

(D) A and C

white light

24.

25. 26.

The sun is visible to us for about (A) 1 minute before the actual sunrise. (C) 3 minutes before the actual sunrise.

(B) 2 minutes before the actual sunrise. (D) 4 minutes before the actual sunrise.

The outermost coating of human eye is made up of : (A) Lens (B) Retina (C) Sclerotic Magenta is a (A) primary colour. (C) complementary colour.

(D) Iris

(B) secondary colour. (D) tertiary colour.

27.

If critical angle for a material to air is 30, then the refractive index of the material will be (A) 1.0 (B) 1.5 (C) 2.0 (D) 2.5

28.

A ray of light is incident on a hollow glass prism as shown. Then the ray will undergo

(A) deviation and dispersion both (C) dispersion but no deviation

(B) deviation but no dispersion (D) neither deviation nor dispersion Space for rough work


29.

Dispersion of white light takes place because: (A) Different colours of light bend through different angles with the incident ray (B) The red light bends the least and the violet light bends the most (C) Both (a) and (b) (D) Refractive index of glass is not uniform in the prism.

30.

The refractive index of a medium A with respect to that of a medium B is represented as AB. The refractive indices of three media A, B and C with respect to vacuum are : AV = 3/2, BV = 4/3, CV = 5/4 Which of the following is correct ? (A) AB < AC < BC (B) AB < AC > BC (C) AB > AC > BC (D) AB > AC < BC

31.

Read the following statements Statement A : Crystallisation is better technique of separation than simple evaporation technique. Statement B : Some solids decompose or get charred on heating to dryness. mark the correct answer (A) Statement (A) is correct and statement (B) is right explanation of it. (B) Statement (A) is correct and statement (B) is not right explanation of it. (C) Statement (A) is incorrect and statement (B) is correct. (D) Statement (A) and statement (B) both are incorrect.

32.

Match the following (i) Chromatography (ii) Fractional distillation (iii) Solvent extraction (iv) Sublimation (A) (i) - (b), (ii)-(c), (iii)-(a), (iv)-(d) (C) (i) - (d), (ii)-(a), (iii)-(b), (iv)-(c)

(a) Boiling point (b) Solubility (c) Adsorption (d) I2 (B) (i) - (d), (ii)-(c), (iii)-(a), (iv)-(b) (D) (i) - (c), (ii)-(a), (iii)-(b), (iv)-(d)

33.

On moving from top to bottom in a group, in the periodic table, size of an atom (A) increases (B) decreases (C) remains same (D) first increases, then decreases

34.

The law of octaves was proposed by (A) Newlands

35.

(B) Dobereiner

(C) Lavoisier

(D) Mendeleev

(C) fluorine

(D) oxygen

The element with highest electronegativity is (A) carbon

(B) chlorine



36.

What is the right order of first I.E.? (A) Na>Mg>Al

37.

(B)Al> Mg>Na

(C) Mg>Al>Na

(D) Mg>Na>Al

Which name was proposed by Mendeleev for the element which is known by name Gallium now ? (A) Eka silicon

(B) Eka carbon

(C) Eka aluminium

38.

Which of the following statements is not true about collodial solution ? (A) These are visible under powerful microscope. (B) Their particles do not settle down with passage of time. (C) Their particles are electrically charged. (D) These are homogeneous in nature .

39.

Which of the following is not an example of colloidal solution ? (A) Face cream (B) Rubber (C) Carbonated drink

(D) None of these

(D) Both (B) and (C)

40.

X and Y atoms have 2 and 6 valence electrons in their outermost shells respectively. The compound which X and Y are likely to form is (A) XY2 (B) Y2X6 (C) YX2 (D) XY

41.

Which is absent in prokaryotes ? (A) Nuclear envelope (B) Golgi apparatus

42. 43. 44.

45. 46. 47. 48.

(C) Mitochondria

(D) All of the above

Cells which lose their nucleus during differentiation are (A) nerve cells (B) muscle cells (C) red blood cells

(D) white blood cells

Double membrane is absent in (A) mitochondria (B) chloroplast

(C) nucleus

(D) lysosomes

Translocation means : (A) Conduction of food by phioem (C) Conduction of water by phioem

(B) Conduction of food by xylem (D) Conduction of water by xylem

Transpiration is helpful in (A) Cooling (B) Loss of Water

(C) Ascent of sap

(D) Loss of nutrients

A pacemaker or S-A node is found in (A) liver (B) heart

(C) brain

(D) spleen

Hormone that stimulates heart beat is (A) Thyroxine (B) Adrenaline

(C) Glucagon

(D) Gastrin

The hormone that promotes reabsorption of water from glomerular filtrate is – (A) oxytocin (B) relaxin (C) vasopressin (D) calcitonin Space for rough work


49. 50.

The endocrine gland nearest the lung is – (A) Pituitary (B) Pineal

(C) Thymus

(D) Adrenal

Excretory product in birds and reptiles is (A) urea (B) uric acid

(C) ammonia

(D) guanine

51.

The mountains located on the eastern boundary of India includes (A) Patkai Bum, Naga Hills and Mizo hills (B) Sahyadri, Nilgiri, Cardamom and Anaimalai hills (C) Vindhyachal, Rajamhal hills (D) none of the above

52.

The Coromandel coast of Tamil Nadu receives rainfall due to : (A) north west trade winds (B) north east trade winds (C) Bay of Bengal Branch of Monsoon winds (D) all of the above

53.

Winters are dry in India because: (A) winds are from land to sea (C) winds are from mountainous regions

(B) winds are from sea to land (D) none of the above

54.

Variation in atmospheric pressure in different hemispheres across the equator is: (A) Southern oscillations (B) mango showers (C) burst of monsoons (D) none of the above

55.

What is the name of crescentic sand dune ? (A) Oases (B) Inselberg

(C) Ventifacts

(D) Barchan

56.

Rajasthan receives very little rain because ....... (A) It is too hot (B) There is no water available and thus the winds remain dry (C) The monsoons fail to reach this area (D) The winds do not come across any barrier to cause the necessary uplift to cool the winds

57.

The velocity of winds is related to (A) The amount of moisture they carry (C) Pressure gradient in the direction of the flow

(B) The nearness to the sea (D) The direction in which they blow

58.

On which side of the mountain will be the chinook winds found ? (A) Lee ward side (B) Top of the mountain (C) Bottom of the mountain (D) Wind ward

59.

Intensity of the monsoons can be broadly predicted by measuring the difference in pressure between? (A) Tahiti in French Polynesia in east Pacific and Port Darwin in northern territory of Australia in the Indian ocean (B) Tahiti in French Polynesia in west Pacific and Port Darwin in Southern Australia in the Indian ocean (C) both of the above (D) none of the above



60.

The Northern mountain ranges of the Gondwana land are : (A) The Aravallis (B) The Raj Mahal hills (C) The Meghalayan hills(D) All of the above

61.

Which state is the most populous state according to 2001 Census ? (A) Bihar (B) Uttar Pradesh (C) West Bengal

(D) Madhya Pradesh

62.

In how many years is the official enumeration of population carried out for census ? (A) 1 year (B) 5 years (C) 10 years (D) 2 years

63.

Which of the following is an important social indicator to measure the extent of equality between males and females in a society at a given time ? (A) Age Composition (B) Literacy Rate (C) Sex Ratio (D) Death Rate

64.

Which of the following factors are responsible for sparse population ? (A) Flat plains and abundant rainfall (B) Rugged terrain and unfavourable climate (C) Fertile soil and abundant rain fall (D) Rugged terrain and favourable climate

65.

When was National Rural Employment Guarantee Act passed ? (A) September 2005 (B) August 2004 (C) May 2009

(D) None of these

66.

In the secondary sector, which is the most labour absorbing unit? (A) Small scale manufacturing (B) Medium scale manufacturing (C) Large scale manufacturing (D) None of these

67.

The service sector includes activities such as (A) agriculture, dairy, fishing and forestry (C) transport, communication and banking

(B) making sugar, gur and bricks (D) none of these

68.

Choose the correct meaning of organised sector : (A) It covers those enterprises where the terms of employment are regular (B) It is outside the control of the government (C) Jobs are not regular (D) It provides low salaries

69.

On which of the following basis, the sectors are classified into public and private sectors? (A) Employment conditions (B) The nature of economic activity (C) Ownership of enterprises (D) Number of workers employed in the enterprise

70.

Which one of the following defines GDP ? (A) All final goods and services produced in a country in a year. (B) All final and intermediate goods produced in a country in a year. (C) Money value of all final goods and services produced in a domestic territory in a year. (D) None of the above. Space for rough work


Direction (71 to 73) : Find the missing terms – 71. 72.

73.

1, 3, 7, 25, 103, ? (A) 526

(B) 521

RML, VIJ, ZFH, DDF, ? (A) HDC (B) CHI 1

2

3

2

10

12

2

5

12

10

16

13

1

2

1

10

24

?

(A) 5

(B) 11

(C) 515

(D) 509

(C) HCD

(D) DIC

(C) 13

(D) 8

Directions : (74 to 75) In each Q. there is a word written in capital letters with one letter underlined. For each letter in that word there is a code written in small letters. That code is denoted by either (A), (B), (C), (D) or (E) not in the same order. You have to find out the exact code for the underlined letter in the word. The number of that code is the answer. Please note that the same letter appearing in other word (s) may be coded differently. 74. BEST (A) e (B) q (C) b (D) v 75. 6.

PAGE (A) b

(B) i

(C) r

(D) x

If MENTAL is written LNDFMOSUZBKM then how would TEST be written in that code ? (A) UVFGTIIV (B) RSCDQRRS (C) SUDFQRSM(D) SUDFRTSU

Direction (77) : Read the following information and answer the given question : 77. If A B + C A __________ A DD where AB and CA are two digit numbers . ADD is three digit number. Each letter represent distinct digit from 0 to 9. Find the value of D + C. (A) 9 (B) 8 (C) 7 78.

(D) 6

If  means +, – means  ,× means – and + means ×, then

 32  8  8  2 4  18  8  9  1

(A) 0

=? (B) 1

(C) 12

(D) None of these



79.

In a code language symbols are used for letters. In this, the letters and symbols may not be in the same order. Observe the given words and find the correct answer. HAT = CAN =

,

+

(A)

COT =

+

Then, HOT = ? (B)

(C)

(D)

Direction (80-82) : Read the following information carefully and give the answer of following questions : A scientist is trying to prepare a medicine using four ingredients. He can choose from the stable chemicals A, B and C and the unstable chemicals W, X, Y and Z. In order for the formula not to explode, there must be two stable chemicals in it. Also, certain chemicals cannot be mixed because of their reaction together . (1) Chemical B cannot be mixed with chemical W (2) Chemical C cannot be mixed with chemical Y (3) Chemical Y cannot be mixed with chemical Z 80.

If Y is the most important chemical and must be used in the formula, which other ingredients must be used? (A) A, B and W

81.

(B) A, B and X

(C) A, B and Z

(D) A, C and X

If chemical B is rejected because of its possible side effects but it is decided to use chemical Z, which is a possible combination of the ingredients in the formula (A) A, W, X and Z

82.

(B) A, X, Y and Z

(C) A, W, Y and Z

(D) A, C, W and Z

Which of the following combinations of chemicals is impossible? I. Using chemical Y and W together. II. Using chemicals B and C together. III. Using chemicals W, X and Z together. (A) I only

83.

(B) II only

(C) I and III only (D) I and II only

A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes ? (A) 32 rolls

(B) 54 rolls

(C) 108 rolls

(D) 120 rolls



Direction (84 to 86) : In the figure given below a cardboard is folded along the dotted lines and a cube is constructed. Based on it answer the following questions : F

A B C D

(D) E

Which letter will not come near D ? (A) A (B) B

(C) C

(D) E

Of the following figures, which figure does not belong to the cube ?

C

(B)

(C)

B

F

F

(A)

A

B

86.

(C) D

C

85.

Which letter will come in front of A ? (A) B (B) C

F

84.

E

A

(D)

87.

If the numbers from 1 to 45 which are exactly divisible by 3 are arranged in ascending order, minimum number being on the top, which would come at the ninth place from the top ? (A) 18 (B) 21 (C) 24 (D) 27

88.

Ram walks 10 metres towards the South. Turning to the left, he walks 20 metres and then moves to his right. After moving a distance of 20 meters, he turns to the right and walks 20 metres. Finally, he turns to the right and moves a distance of 10 metres. How far and in which direction is he from the starting point? (A) 10 metres North (B) 20 metres South (C) 20 metres North (D) 10 metres South

89.

Deepak is brother of Ravi. Rekha is sister of Atul. Ravi is son of Rekha. How is Deepak related to Rekha ? (A) Son (B) Brother (C) Nephew (D) Father

90.

How many triangles are there in the following figure ?

(A) 25

(B) 20

(C) 31

(D) 29

(C)

(D)

Direction (91 to 92) : Find the mirror image – 91.

Nu56p 7uR (A)

(B)



92. (A)

(B)

(C)

(D)

Direction (93 to 94) : Find the water image – 93.

U4P15B7 (A)

(B)

(C)

(D)

(A)

(B)

(C)

(D)

94.

Direction (95 to 96): Select a figure from the four alternatives, which when placed in the blank space of figure (X) would complete the pattern.

95.

? (X)

(A)

(B)

(C)

(D)

(A)

(B)

(C)

(D)

? 96.

(X)



Direction : (97 to 98) 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.

97.

(A)

(B)

(C)

(A)

(B)

(C)

(D)

98.

(D)

Direction : (99 to 100) 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.

99.

X

Y

Z

X

Y

Z

(A)

(B)

(C)

(D)

(A)

(B)

(C)

(D)

100.



ANSWERKEY NTSE(STAGE-I) CLASS-X PRACTICE TEST PAPER-3 Que s.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Ans.

D

D

A

B

B

C

D

A

C

C

C

D

D

A

D

Que s. 16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

B

A

C

C

C

D

A

D

B

C

B

C

D

C

B

Que s. 31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

A

D

A

A

C

C

C

D

D

D

D

C

D

A

C

Que s. 46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

B

B

C

C

B

A

B

A

A

D

D

C

A

A

B

Que s. 61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

B

C

C

B

A

A

C

A

C

C

B

C

C

D

A

Que s. 76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

D

B

B

D

B

D

C

D

B

B

C

D

B

A

D

Que s. 91

92

93

94

95

96

97

98

99

100

B

C

A

C

D

C

A

B

A

Ans.

Ans.

Ans.

Ans.

Ans.

Ans.

C

NTSE stage-1 Mock Test 3

Recommend Documents