20
NTSE Sample Paper For SAT-1 NTSE | Theory | Questions | Sample Papers | Online test | NCERT Solutions www.entrancei.com 1. The probability of guessing the correct answer to a certain test question is . If the probability of not guessing the correct answer to this question is , then x = (a) 2 (b) 3 (c) 4 (d) 6 2. The line segment joining points (–3, –4) and (1, –2) is divided by y-axis in the ratio: (a) 1 : 3 (b) 3 : 1 (c) 2 : 3 (d) 3 : 2 3. A ladder 15 m long leans against a wall making an angle of 60 o with the ground. The height of the point where the ladder touches the wall is: (a) m (b) (c) (d) 30 m 4. The radii of the ends of a frustum of a cone 40 cm high are 20 cm and 11 cm. Its slant height is: (a) 41 cm (b) cm (c) 49 cm (d) cm 5. Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is : (a) 4 cm (b) 1 cm (c) 2 cm (d) 6 cm 6. The difference between the circumference and radius of a circle is 37 cm. The area of the circle is: (a) 111 (b) 148 (c) 154 (d) 259 7. To draw a pair of tangents to a circle which are inclined to each other at an angle of 60 o , it is required to draw tangents at a end points of those two radii of the circle, the angle between them should be: (a) 135 o (b) 90 o (c) 60 o (d) 120 o 8. In the given figure is circumscribing a circle. Then the length of BC is (a) 7 cm (b) 8 cm (c) 9 cm (d) 10 cm x 8 3 4 15 3 15 3 m 2 30 3m 20 5 521 2 cm 2 cm 2 cm 2 cm ABC D

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Page 1: NTSE Sample Paper For SAT-1 - EntranceiNTSE Sample Paper For SAT-1 NTSE | Theory | Questions | Sample Papers | Online test | NCERT Solutions 9. If 7 times 7th term of an AP is equal

NTSE Sample Paper For SAT-1

NTSE | Theory | Questions | Sample Papers | Online test | NCERT Solutions www.entrancei.com

1. The probability of guessing the correct answer to a certain test question is . If the probability of not

guessing the correct answer to this question is , then x =

(a) 2 (b) 3 (c) 4 (d) 6 2. The line segment joining points (–3, –4) and (1, –2) is divided by y-axis in the ratio: (a) 1 : 3 (b) 3 : 1 (c) 2 : 3 (d) 3 : 2 3. A ladder 15 m long leans against a wall making an angle of 60o with the ground. The height of the point where the ladder touches the wall is:

(a) m (b) (c) (d) 30 m

4. The radii of the ends of a frustum of a cone 40 cm high are 20 cm and 11 cm. Its slant height is: (a) 41 cm (b) cm (c) 49 cm (d) cm 5. Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is : (a) 4 cm (b) 1 cm (c) 2 cm (d) 6 cm 6. The difference between the circumference and radius of a circle is 37 cm. The area of the circle is: (a) 111 (b) 148 (c) 154 (d) 259 7. To draw a pair of tangents to a circle which are inclined to each other at an angle of 60o, it is required to draw tangents at a end points of those two radii of the circle, the angle between them should be: (a) 135o (b) 90o (c) 60o (d) 120o 8. In the given figure is circumscribing a circle. Then the length of BC is

(a) 7 cm (b) 8 cm (c) 9 cm (d) 10 cm

x8

34

15 3 15 3 m2

30 3m

20 5 521

2cm 2cm 2cm 2cm

ABCD

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9. If 7 times 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be: (a) 7 (b) 11 (c) 18 (d) 0 10. If the equation has real and distinct roots, then: (a) k < 4 (b) k > 4 (c) k 4 (d) k 4 11. If a and b are the roots of the equation , then: (a) a = 1, b = 2 (b) a = –1, b = 2 (c) a = –1, b = –2 (d) a = 0, b = 2 12. In an AP, if a = 1, = 20 and = 399, then n is : (a) 19 (b) 21 (c) 38 (d) 42 13. In figure, AT is tangent to the circle with centre O such OT = 4 cm and . Then AT is equal to:

(a) 4 cm (b) 2 cm (c) cm (d) cm 14. To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that is an acute angle and then at equal distances points are marked in the ray AX such that the minimum number of these points is: (a) 8 (b) 10 (c) 11 (d) 12 15. The radius of a wheel is 0.25m. The number of revolutions it will make to travel a distance of 11 km will be : (a) 2,800 (b) 4, 000 (c) 5,500 (d) 7, 000 16. The area of the square that can be inscribed in a circle of radius 8 cm is : (a) 256 (b) 128 (c) (d) 64 17. Volume of two spheres are in the ratio 64 : 27. The ratio of their surface areas is: (a) 3 : 4 (b) 4 : 7 (c) 9 : 25 (d) 16 : 9 18. The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. The curved surface area of the bucket is: (a) 4950 (b) 4951 (c) 4952 (d) 4953

2kx 4x 1 0+ + =£ ³

2x ax b 0+ - =

na nS

oOTA 30Ð =

2 3 4 3

BAXÐ

2cm 2cm 64 2 2cm 2cm

2cm 2cm 2cm 2cm

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19. If a pole 6 m high casts a shadow m long on the ground, then the Sun’s elevation is: (a) 60o (b) 45o (c) 30o (d) 90o 20. The probability that a leap year selected at random will contain 53 Sundays is:

(a) (b) (c) (d)

2 3

17

27

37

57

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21. Observe the following experimental setup carefully

Which set up will produce smoke: (a) Set up (a) (b) Set up (b) (c) Set up (c) (d) All the set up (a), (b) and (c) 22. Observe the following diagram:

What conclusion will you give about litmus paper: (a) Colour of the litmus paper will be changed differently (b) No change on litmus paper (c) Changed into red colour (d) Changed into blue colour 23. Observe the following table carefully.

Which test tube give correct result among these? (a) P & Q (b) Q & R (c) P & S (d) R & S 24. Consider the following organic – compounds gives below in these pairs: (a) and (b) and (c) and (d) OH and What type of similarity is not present in these pairs: (a) –OH (b) (c) > C = C < (d)

3 7C H OH 2 5C H OH 2 5C H OH 4 9C H OH

3 7C H OH 4 9C H OH 4 9C H 5 11C H OH

2CH- - 3CH-

Test tube Hard water Soap/detergent is added Observation (after shaking 5 m inutes)

P 10 ml Soap (5 drops) White curd like scum formed Q 15 ml Detergent (5 drops) White curd like scum is formed R 8 ml Soap (5 drops) Lot of lather is formed S 12 ml Detergent (5 drops) Lot of lather is formed

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25. Ram went to chemistry lab to perform experiment. Which is given as: “He took 3 ml of ethanol in a dry test tube and warmed it gently in a water bath, then added a 5% solution of alkaline potassium permanganate drop by drop to this solution.” What did Ram not observe in his experimental test tube: (a) The purple colour of solution disappears upon heating (b) The smell of ethanol comes out (c) The solution of the test tube turns blue litmus to red (d) The smell of vinegar comes out from the test tube. 26. The focal length of the concave mirror in the experiment set up shown below, is:

(a) 10.2 cm (b) 11.0 cm (c) 11.4 cm (d) 12.2 cm 27. A strip of glass is cut from a hollow sphere and is silvered from the outer sided, such that the reflecting surface appears on the side. Such a mirror is called. (a) concave mirror (b) convex mirror (c) parabolic mirror (d) none o the these 28. Parallel rays, from a distant tree, incident on the device X, from its distinct image on a screen as shown The diagram correctly showing the image of the tree on the screen, is diagram,

(a) A and the device X is a convex lens (b) A and the device X is a concave mirror (c) B and the device X is a convex lens (d) B and the device X is a concave mirror 29. In an experiment on tracing the path of light through a rectangular glass slab, four students A, B, C and D used the following values of angle of incidence and the distance between the feet two of the pins(fixed on the incident ray)

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(a) and 1 cm (b) and 6 cm

(c) And 10 cm (d) and 15 cm Out if these best choice is that of student: (a) (i) (b) (ii) (c) (iii) (d) (iv) 30. Four students set up a glass slab experiment as shown below:

(i) (ii) (iii) (iv) The correct fixing of pins and , for defining the incident ray’ and of pins and , for finding the emergent ray,’ Has been done by student: (a) (i) (b) (ii) (c) (iii) (d) (iv) 31. An IUCD device is (a) Copper T (b) Condom (c) Cervical cap (d) Vasectomy 32. Which of the following is the correct sequence of events of sexual reproduction in a flower? (a) pollination, fertilization, seedling, embryo (b) seedling, embryo, fertilization, pollination (c) pollination, fertilization, embryo, seedling (d) embryo, seedling, pollination, fertilization 33. Testosterone is secreted by (a) Sertoli cells (b) Interstitial cells (c) Spermatocytes (d) Tunica Vaginalis 34. Seed is formed from (a) Unfertilized ovary (b) Fertilized ovule (c) Fertilized ovary (d) Unfertilized ovary. 35. Commonly in a mature fertilized ovule n, 2n and 3n condition is respectively found in (a) Antipodal, synergid an integument (b) Egg, nucellus and endosperm (c) Antipodal, zygote and endosperm (d) Endosperm, nucellus and egg. 36. What is micro propagation? (a) Germination of seeds with cotyledon above the soil (b) A technique to obtain new plants by culturing the cells or tissue in culture medium (c) The mature stage of endosperm (d) To manufacture hormones

( )o o o30 ,45 ,60 ( )o o o30 ,45 ,60

( )o o o20 ,50 ,80 ( )o o o20 ,50 ,80

1P 2P 3P 4P

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37. Observe the following test tube set–up:

Which set–up will produce carbon–dioxide gas: (a) (I) & (II) only (b) (III) & (IV) only (c) (II) & (III) only (d) (I) & (IV) only 38. Observe the following experimental setup carefully

After shaking both the test tube A and B leave them undisturbed for some time. Which test tube does not separate out the oil layer immediately after stop shaking them. (a) A only (b) B only (c) A & B both (d) None of these 39. When vanaspati oil reacts with hydrogen then is convert into vanaspati ghee. In this process catalyst used is : (a) Fe (b) Mo (c) V (d) Ni 40. Which of the following pairs have less difference in the formulae and molecular masses? (a) and (b) and (c) and (d) and 41. Observe the following pairs of organic compounds: (I) and (II) and (III) and Which of these pair is a homologous series according to increasing order of carbon atom? (a) (III) only (b) (II) only (c) (I) only (d) All of these 42. A spherical mirror is held closed to the face of a person. It is found that the image of the person is erect and diminished. The spherical mirror is:

3CH OH 3 7C H OH 3 7C H OH 9 19C H OH

4 9C H OH 3CH OH 9 19C H OH 19 39C H OH

4 9C H OH 5 11C H OH 7 15C H OH 5 11C H OH

6 13C H OH 3 7C H OH

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(a) convex in nature (b) Concave in nature (c) parabolic in nature (d) none of these 43. A Student determines the focal length of a device X, by focusing the image of a far off object on the screen positioned as shown in the figure below. The device X is a:

(a) Convex lens (b) Concave lens (c) Convex mirror (d) Concave mirror 44. The point on the principal axis of a lens, where the rays parallel to the principal axis of the lens, after refraction actually meet or appear to meet is called (a) Centre of curvature (b) Optical centre (c) Principal focus (d) None of these 45. A student performs the experiment on tracing the path of a ray of light passing through a rectangular glass slab for different angles of incidence. He measures the angle of incidence angle of refraction and angle of emergence for all his observations. He would find that in all cases: (a) is more than but (nearly) equal to (b) is less than but (nearly) equal to (c) is more than but (nearly) equal to (d) is less than but (nearly) equal to 46. In an experiment to trace the path of a ray of light passing through a rectangular glass, slab, the correct measurement of angles of incidence (i), refraction (r) and emergence (e) is shown in diagram.

(a) A (b) B (c) C (d) D 47. Cross pollination is advantageous because it results in (a) formation of weaker progeny (b) formation of better progeny (c) formation of male offspring (d) formation of female offspring

iÐrÐ eÐiÐ rÐ eÐiÐ rÐ eÐiÐ eÐ rÐiÐ eÐ rÐ

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48. Callus is (a) Tissue that forms embryo (b) An Insoluble carbohydrates (c) Tissue that grows to form embryoid (d) Unorganised actively mass of cells maintained in culture 49. Parthenocarpy refers to the development of fruit. (a) after fertilization (b) without fertilization (c) union of male nucleus with antipodals (d) from the petals 50. Amniocentesis involves in the analysis of (a) Amnion (b) Body fluid (c) Amino acids of protein (d) Amniotic fluid

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51. Proper labelling of (1), (2), (3) and (4) –

(a) gamete, fertilization, male & female (b) gametogenesis, zygote, female & male (c) gametogenesis, fertilization, female & male (d) gamete, fertilization, female & male 52. Part where production of gamete, fertilization & development of embryo take place are following –

(a) 1, 2, 3 (b) 1, 2, 4 (c) 2, 3, 4 (d) 2, 5, 4 53. The formation of bubbles in a liquid during a reaction is called: (a) Fuzing (b) Bubbling (c) Deliquidizing (d) Effervescence 54. Substance (A) is burnt in air and a pungent smelling gas (B) is evolved. A and B can be? (a) magnesium and magnesium oxide (b) charcoal and carbon dioxide (c) sulphur and sulphur dioxide (d) carbon monoxide and carbon dioxide 55. Aqueous solution of contains: (a) (b) (c) (d) 56. The acid present in tea is:

3CH COOH

3CH COO ,H- +3 2 3CH COO ,H O,CH COOH-

3 3CH COO ,H O ,H- + +3 3CH COOH,CH COO ,H- +

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(a) tannic (b) lactic (c) tartaric (d) citric

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57. Which of the following statements is incorrect? (a) Metals usually combine with oxygen to from basic oxides (b) Metals generally have low melting and boiling points (c) Metals are good conductors of heat and electricity (d) Non-metals are generally non-malleable and non sonorous.

58. A man has five resistors each of value . What is the maximum resistance he can obtain by

connecting them?

(a) (b) (c) (d)

59. If a wire of resistance R is melted and recast to half its length, the new resistance of the wire will be: (a) R/4 (b)R/2 (c) R/3 (d) 2R 60. If a bar magnet is divided into two equal parts perpendicular to the axis of the magnet, then the pole strength of each piece will: (a) increase (b) decrease (c) remains same (d) become zero 61. From the following who was responsible for the Unification of Germany? (a) Cavour (b) Bismarck (c) Mazzini (d) Garibaldi 62. ‘Colons’ were (a) Natives of Vietnam (b) Those educated in Confucian Traditions (c) French people living in Vietnam (d) Children born of intercaste marriages 63. Founding members of the Swaraj party: (a) J.L Nehru (b) Muhammad Ali Jinnah (c) Subhash Chandra Bose (d) Moti Lal Nehru 64. Find the odd one out: (a) Bhagar Singh (b) Jatin Das (c) C.R.Das (d) Ajay Ghosh 65. From which of the following do minerals come? (a) Croe (b) Crust (c) Mantle (d) None of these 66. BHEL is an example of _________ sector industries. (a) Private (b) Public (c) Cooperativ e (d) Joint 67. Medha Patekar is the leader of (a) Chipko Movement (b) Women Movement (c) Narmada Bachao Andolan

15W

1W 5W 12W

25W

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(d) Movement for the uplift of Scheduled castes and Scheduled Tribes 68. Who among the following gives recognition to political parties as ‘nation parties’ or regional parties? (a) The president (b) The prime Minister (c) Parliament (d) Election commission of India 69. National Conference is the ruling party in (a) Punjab (b) Andhra Pradesh (c) Karnataka (d) Jammu and Kashmri 70. The challenge of making the transition to democracy from a non-democratic system is known as (a) Foundational Challenge (b) Challenge of Expansion (c) Deepening of Democracy (d) None of the above 71. Which of the following ministry looks after the problem of consumers and protects their rights? (a) Home ministry (b) Health Ministry (c) Ministry of Consumers Rights (d) Ministry of Civil Supplies and Consumer Affairs 72. What does ATM stand for? (a) Any Time Money (b) Automated Teller Machine (c) Automatic Timely Money (d) Automatic Temporary Machine 73. Reserve Bank of India was established on (a) 31 st March 1947 (b) 1 st April 1935 (c) 15th August 1948 (d) 31 st December 1950 74. Commercial Banks and Cooperative Societies are an example of (a) Formal sources of credit (b) Informal sources of credit (c) Organised sector (d) None of these 75. How much amount was spent by Ford Motors Company in 1995 to set up a plant neat Chennai? (a) Rs. 1700 Crore (b) Rs. 1000 crore (c) Rs.1950 crore (d) Rs.950 Crore 76. A homogenous naturally occurring substance with a definable internal structure is called (a) A mineral (b) ore (c) Magnesium (d) Aluminium 77. Who led a protest movement against the Protestants in lreland? (a) Garibaldi (b) Wolfe tone (c) Mazzini (d) Cavour 78. Which of the following is the allegory of the French Nation? (a) Germania (b) Liberty (c) Marianne (d) None of the above 79. Why was Simon Commission sent to India in 1982? (a) To look into the functioning of Indian constitutional system and suggest reform (b) To try Indian revolutionary for India (c) To frame a new constitution for India (d) To persuade Gandhiji to attend the Round Table Conference

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80. The Justice Party of Madras was formed by the (a) Judges (b) Muslims (c) Brahmins (d) Non-Brahmins 81. Which one of the following mineral occurs as residual mass of weathered material? (a) Copper (b) Bauxite (c) Mica (d) Gypsum 82. _________ is the larges Solar power Plant in India (a) Mirzapur (b) Moradabad (c) Madhapur (d) Madurai 83. The proportion of iron, coking coal and limestone required in iron and steel industry is in the ratio of (a) 2 : 3 : 1 (b) 4 : 2 : 1 (c) 1 : 2 : 4 (d) 2 : 3: 5 84. The largest national highway NO. 7 connects (a) Jammu to Kanniyakumari (b) Porbandar to Silchar (c) Varanasi to Kanniyyakumari (d) Delhi to Amritsar 85. A democratic government is (a) An accountable government (b) A responsive government (c) A legitimate government (d) All of the above 86. Which of these is not a good argument in favour of democracy? (a) People feel free and equal in a democracy (b) Democracies resolve conflicts in a better way then others (c) Democratic government is more accountable to the people (d) Democracies are more prosperous than others 87. Match the following: A B (i) Pressure Group (a) Narmada Bachao Andolan (ii) Long term movement (b) Assam Gana Parishad (iii) Single issue movement (c) Women’s movement (iv) Political party (d) Fertilizer dealer association (a) (i) – d, (ii) – c, (iii) – a, (iv) –b (b) (i) – d, (ii) – c, (iii) – b, (iv) –a (c) (i) – a, (ii) – b, (iii) – c, (iv) –d (d) (i) – d, (ii) – a, (iii) – c, (iv) –b 88. What do you mean by Partisan ? (a) A process of voting (b) One who is committed to a party (c) Process of defection (d) Government Machinery 89. Globalisation has led to improvement in living conditions? (a) of all the people (b) of people in the developed countries (c) of workers in the developing countries (d) None of the above

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90. In a SHG most of the decisions regarding savings and activates are taken by (a) Bank (b) members (c) Non–government organization (d) None of the above 91. Which of the following is not a right of consumers? (a) Right to safety (b) Right to be informed (c) Right to choose (d) Right to constitutional remedies 92. Globalisation by connecting countries shall result in (a) lesser competition among producers (b) greater competition among producers (c) no change in competition among producers (d) None of the above

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93. Which of the following is not a feature of 19th century Liberalism (a) Freedom of the individual (b) Equality of all before law (c) Violability of Private property (d) Government by consent 94. In 1911 the monarchy in China was overthrown by (a) Ho Chi Minh (b) Sun-yat Sen (c) Bao Dai (d) Ngo Dinh Diem 95. The History of Loss of Vietnam’ was written by (a) Liang Quichao (b) Phan Boi Chau (c) Huynh Phu So (d) Cuong De 96. Who was the founder of “ Maratha Empire”__ (a) Shah Ji Bhonsale (b) Baji Rao Ist (c) Shivaji (d) Balaji Vishwanath 97. Who was political Guru of Gandhi ji” (a) G.K Gokhale (b) Firojshah Mehta (c) Dada Bhai Nauroji (d) W.C Benerjee 98. The longest river flowing in India is _ (a) Ganga (b) Tamuna (b) Brahmputra (d) Godavari 99. Who was the chairman of drafting committee of constituent assembly? (a) Sardar Ballbabh Bhai Patel (b) Jawahar Lal Nehru (c) Mahatma Gandhi (d) Dr. Bhim Rao Ambedkar 100. Right to Interpret the Indian constitution lies with _ (a) The executive (b) The Legislature (c) The President (d) The Judiciary

SPACE FOR ROUGH WORK

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SPACE FOR ROUGH WORK

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SPACE FOR ROUGH WORK

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Answer Key

Mock Test -1 (SAT)

1. (a) 2. (b) 3. (b) 4. (a) 5. (c) 6. (c) 7. (d) 8. (d) 9. (d) 10. (a)

11. (b) 12. (c) 13. (c) 14. (d) 15. (d) 16. (b) 17. (d) 18. (a) 19. (a) 20. (b)

21. (b) 22. (c) 23. (c) 24. (c) 25. (b) 26. (b) 27. (a) 28. (a) 29. (b) 30. (a)

31. (a) 32. (c) 33. (b) 34. (b) 35. (b) 36. (b) 37. (a) 38. (b) 39. (d) 40. (a)

41. (c) 42. (a) 43. (d) 44. (c) 45. (a) 46. (a) 47. (b) 48. (d) 49. (b) 50. (d)

51. (d) 52. (a) 53. (d) 54. (c) 55. (d) 56 (a) 57. (b) 58. (a) 59. (a) 60. (c)

61. (b) 62. (b) 63. (d) 64. (c) 65. (b) 66. (b) 67. (c) 68. (d) 69. (d) 70. (a)

71. (d) 72. (b) 73. ( d) 74. (a) 75. (a) 76. (a) 77. (b) 78. (c) 79. (a) 80. (d)

81. (b) 82. (c) 83. ( b) 84. (c) 85. (d) 86. (a) 87. (a) 88. (b) 89. (b) 90. (b)

91. (d) 92. (b) 93.(c) 94.(b) 95. (b) 96.(c) 97. (a) 98. (a) 99. (d) 100. (d)