SAMPLE PAPER. for. Class X

SAMPLE PAPER

for

SECTION - 1

MATHEMATICS

1. If a,b,g are the roots of the equation (x2)(x26x 11) 0 , therefore, (a + b + g) equals : (A) - 4 (B) 23/6 (C) 13 (D) - 8

2. Each of the sides of a triangle is 8 cm less than the sum of its other two sides. Area of the triangle (in cm2_{) is} (A) 8 (B) _{8 3} (C) 16 (D) _{16 3} 3. If 7 50 x 1

x  , then which is always true?

(A) x700 > 700 (B) x700 < 700 (C) x700 _{> 700 or x}700 _{< 700 (D) x}700 _{> 700 and x}700 _<700 4. If 12 13 1 y x 7

5   , where fractions are in their lowest terms, then xy is equal to

(A) 2 (B) 4 (C) 7 (D) 9

5 The value of the expression _{3424 2}

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(A) -2 (B) 2 (C) 3 (D) 4

6. Unit's digit in the number (12357)655 is

(A) 1 (B) 3 (C) 7 (D) 9

7. If _ax _b,by 3_c 

 and cz  a then the value of xyz is

(A) 2 1 (B) 3 1 (C) 6 1 (D) 12 1

8. The quadratic equation whose one roots is 1/

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 

 (B) x24x10 (C) x24x10 (D) 2x24x10

9. Each of the four circles shown in the figure, is tangent to the other three. If the radius of each of the smaller circles is a, the area of the largest is

a

a

a

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10. If

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PHYSICS

11. A body is released from rest from top of a tower of height 3H. The ratio of times it takes to fall through equal height H is :

(A) 1:

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(C) 1 : 1 : 1 (D) 9 : 4 : 1

12. A body is moving with constant acceleration from A to B in a straight line. C is the mid-point of AB. If u and v are the speeds at A and B respectively. The speed of C is :

(A) u v 2  (B) v u 2  (C) 2 2 u v 2  (D) 2 2 v u 2  13. If a force is conservative :

(A) Work is path independent (B) Work is path dependent (C) Potential energy remains constant (D) None of these

14. A spring balance A reads 2 kg with a block of mass m suspended from it. Another balance B reads 3 kg when a beaker with a liquid is put on its pan. The two balances are now so arranged that the hanging mass m is fully immersd inside the liquid in the beaker as shown in the figure. In this situation.

A

B

(A) the balance A will read 2 kg and B will read 5 kg. (B) the balance A will read 2 kg and B will read 3 kg.

(C) the balance A will read less than 2 kg and B will read between 3 kg and 5 kg. (D) the balance A will read less than 2 kg and B will read 3 kg.

15. Four blocks are kept in a row on a smooth horizontal table with their centres of mass collinear as shown in the figure. An external force of 60 N is applied from left on the 7 kg block to push all of them along the table. The forces exerted by them are :

7 kg 5 kg 2 kg 1 kg

P Q R _S

60 N

(A) 32 N by P on Q (B) 28 N by Q on P (C) 22 N by Q on R (D) 14 N by S on R

16. In the two cases shown below, the coefficient of kinetic friction between the block and the surface is the same, and both the blocks are moving with the same uniform speed. Then,

F1 F2

(A) F₁ = F₂ (B) F₁ < F₂ (C) F₁ > F₂ (D) Cant be determined

17. The time period of a seconds pendulum inside a satellite will be :

18. Which of the following statements corresponds to Kepler's laws of planetary motion ? (A) A planet moves around the sun in a circular orbit.

(B) A planet moves around the sun in an elliptical orbit with the sun at the geometrical centre. (C) A planet moves around the sun in an elliptical orbit with the sun at the focus

(D) A planet moves around the sun in an elliptical orbit with uniform speed.

19. A stone is dropped into a lake from a tower 500 metre high. The sound of splash will be heard by the man approximately after–

(A) 11.5 sec (B) 21 sec (C) 10 sec (D) 14 sec

20. The velocity of sound in air is 330 m/s and the velocity of light in air is 3 × 108 _{m/s. What, frequency,}

in Hz does a BBC station which transmits at 1500 m broadcast ?

(A) 2 × 105 hz (B) 595 × 103 hz (C) 0.22 hz (D) 5 × 10–6 hz

CHEMISTRY

(A) 24

10 011 .

3  (B) 2.4091025 (C) 3.1111025 (D) 2.7111025

22. Four substances were thoroughly mixed with water separately to obtain mixtures A, B, C and D. Some of their properties are given below:

I. Path of a beam of light passing through it was visible in A, B and D but invisible in C.

II. On leaving undisturbed, the particles of the substance settle down in A but not in B, C and D. III. The solute particles are visible to naked eye in A but invisible in B, C and D.

(A) A, B and D are colloids. C is a solution.

(B) A is a suspension. B and D are colloids. C is a solution (C) A is a colloid, B, C and D are solutions.

(D) A is a suspension. B, C and D are colloids.

23. Assertion (A) : Aluminium foil cannot be used in  – particle scattering experiment

Reason (R) : Aluminium is highly malleable metal.

(A) Both A and R are correct. R is the correct reason for A. (B) Both A and R are correct but R is not the correct reason for A. (C) A is correct and R is incorrect.

(D) A is incorrect and R is correct.

24. A sample of MgCO₃ contains 3.01 x 1023 Mg2+ ion and 3.011023co2₃– ions. The mass of the sample is (A) 42 mg (B) 84 g (C) 0.042 kg (D) 42 mol

25. What are the electronic configurations of Na+ and _C _ions?

(A) Na 2 ,8,1andC– 2,8,7 (B) Na 2,8andC– 2,8,8 (C) Na 2,8,2andC– 2,8,6 (D) Na 2,8andC– 2,8,7

26. Which is the symbol of the element tungsten?

27. Match List I (Mixture to be separated) with the List II (Method used) and select the correct option using the codes given below

List I (Mixture to be

separated)

List II (Method used)

1. Petroleum products I. Chromatography 2. Camphor and rock salt

3. Cream from milk

4 Coloured components in a dye

II. Centrifugation III. Sublimation

IV. Fractional distillation

(A) 1-I, 2-II, 3-III, 4-IV (B) 1-II, 2-IV, 3-III, 4-I (C) 1-IV, 2-III, 3-I, 4-II (D) 1-IV, 2-III, 3-II, 4-I

28. The correct order of increasing number of alpha particles passing undeflected through the foils of Au, Ag, Cu and Al of 1000 atoms thickness each in a simulated alpha particle scattering experiment of Rutherford would be

(A) Au < Ag < Cu < Al (B) Al < Cu < Ag < Au (C) Au < Cu < Al < Ag (D) Ag < Cu < Al < Au

29. The number of water molecules present in a drop of water weighing 0.018 g is________

(A) 6.02 x 1026 (B) 6.02 x 1023 (C) 6.02 x 1020 (D) 6.02 x 1022

30. The fragrance of flowers is due to the presence of some steam volatile organic compounds called essential oils. These are generally insolubel in water at room temperature but are miscible with water vapour in vapour phase. A suitable method for the extraction of these oils from the flowers is _ _ _

(A) Distillation (B) Crystallisation (C) Distillation under reduced pressure (D) Steam distillation

BIOLOGY

31. Which of the following are characteristic features of cells of meristematic tissue? (A) Actively dividing cells with dense cytoplasm, thick cell wall and prominent nuclei. (B) Actively dividing cells with dense cytoplasm, thin cell wall and no vacuoles. (C) Actively dividing cells with little cytoplasm, thin cell wall and prominent nuclei. (D) Actively dividing cells with thin cytoplasm, thin cell wall and no vacuoles.

32. Which one of the following animals is different from others in not having the paired gill pouches? (A) Whale. (B) Water snake. (C) Star fish. (D) Sea horse.

33. In the symbiotic relationship between a bacterium and a root of legume the (A) bacteria provide N₂ and the plant roots provide Carbon.

(B) roots provide NH₄ and bacteria provide Carbon. (C) bacteria provide NH₄ and the roots provide Carbon. (D) bacteria provide N₂ and the roots provide NH₄

34. A flagellum is present at one end of a protozoan It is :

(A) Planaria (B) paramecium (C) Hydra (D) Leishmania

35. Which organelle of the cell is called the power house of the cell?

36. Plasma membrane is made up of

(A) Protein (B) Lipid (C) Carbohydrate (D) Both (1) and (2)

37. A cell will plasmolyse, if it is placed in :

(A) Hypertonic solution (B) Hypotonic solution

(C) Isotonic solution (D) Concentration of water molecules does not matter

38. In Xerophytes, the rate of water loss get reduced due to covering of epidermis by :

(A) Cutin (B) Suberin (C) Lignin (D) Gum

39. eukaryotic organisms have different levels of organization. Select the combination where the levels are arranged in the descending order.

(A) DNA chromosome, cell, nucleus, tissue (B) Tissue, cell, nucleus, chromosome, DNA (C) Nucleus, cell, DNA, chromosome, tissue (D) Tissue, cell, chromosome, nucleus, DNA

40. The number of daughter cells formed at the end of meiosis from a cell__

(A) 2 haploid cells (B) 2 diploid cells (C) 4 haploid cells (D) 4 diploid cells

SECTION - 2

SOCIAL SCIENCE

41. Assertion (A) : After the 1905 revolution in Russia, Duma or the first elected consultative Parliament came into existence.

Reason (R) : The power of Tsar was curbed by it

(A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true but R is not the correct explanation of A (C) A is ture and R is false

(D) A is false and R is true

42. Assertion (A) : Colonial Forest Act changed the lives of villagers across the country

Reason (R) : Now the villagers could comfortably make use of the forest resources for everyday needs (A) Both A and are true and R is the correct explanation of A

(B) Both A and R are true but R is not the correct explanation of A (C) A is true and R is false

(D) A is false and R true

43. A person who is not a member of parliament is appointed as a minister he has to get elected to the house of parliament within :

(A) a month (B) three months

(C) six months (D) stipulated time fixed by the President

44. Hitler’s ideology related to the geopolitical concept of Lebensraum, or living space implied: (A) There was no equality between people, but only a recial hierarchy

(B) Only those species survived on earth that could adapt themselves to changing climatic conditions. (C) New territories had to be acquired for settlement to increase the area of the mother country.

(D) An exclusive recial community of pure Germans to be created by physically eliminating all those who were seen as undesirable.

45. Assertion (A) : The latitudinal extent influences the duration of day and night, as one moves from south to north of India

Reason (R) : From Gujarat to Arunachal Pradesh there is a time lag of two hours.

(A) Both A and R are true and R explains A (B) Both A and R are true but R does not explain A (C) A is true and R is false (D) A is false and R is true

46. Match list I (Revolution) with list II (Area) and select the correct answer using the codes given below:

List

(Revolution) List II (Area)

1. Blue I. Dairy development 2. Green

3. White 4. Yellow

II. Fisheries development III. Food production IV. Silk production

(A) 1-II, 2-III, 3-IV, 4-I (B) 1-III, 2-IV, 3-II, 4-I (C) 1-IV, 2-II, 3-I, 4-III (D) 1-II, 2-III, 3-I, 4-IV

47. The Tropic of Cancer passes through which of the following plateau?

(A) Only Malwa (B) Only Chotanagpur

(C) Only Meghalaya (D) Both Malwa and Chotanagpur

48. Assertion (A) : The Cariolis force is responsible for deflecting winds towards the right in the northern hemi-sphere and towards the left in the southern hemihemi-sphere.

Reason (R) : The pressure and wind system of any area depend on the latitude and altitude of the place. (A) Both A and R are true and R explains A (B) Both A and R are true but R does not explain A (C) A is true and R is false (D) A is false and R is true

49. Which of these activities contributes to India’s national income? I. Cooking at home

II. a teacher teaching his children at home III. A doctor presecribing medicines in a clinic IV. Cooking in a restaurant

(A) I and II (B) II and III (C) III and IV (D) I and IV

50. Robinson Crusoe goes to sea with a net for fishing. Classify the factors of production and choose the appropri-ate option given below.

Item Classification

1. Knowledge of fishing I. Physical Capital 2. Net

3. Sea 4. Swimming

II. Labour III. human Capital IV. Land

MENTAL ABILITY

3, 12, 27, 48, 75, 108, ?

(A) 192 (B) 183 (C) 162 (D) 147

Direction (52 to 54) :

In each of the following questions, a number series is given. After the series, below it in the next line, a number is given followed by (P), (Q) , (R), (S) and (T). You have to complete the series starting with the number given following the sequence of the given series. Then answer the question given below it.

52. 2 3 8 27 5

(P) (Q) (R) (S) (T) Which of the following numbers will come in place of (T)?

(A) 184 (B) 6 (C) 925 (D) 45

53. 5 18 48 112 7

(P) (Q) (R) (S) (T) Which number will come in place of (S)?

(A) 172 (B) 276 (C) 270 (D) 376

54. 15 159 259 323 7

(P) (Q) (R) (S) (T) Which of the following numbers will come in place of (R)?

(A) 251 (B) 315 (C) 176 (D) 151

55. Find the wrong term(s) DVG, FSI, HPK, JNM, LJO

(A) DVG (B) JNM (C) HPK (D) EFH

Direction (56 & 57) :

Find the missing term in the given figures

56. 7 2 9 15 30 14 63 ? (A) 33 (B) 145 (C) 135 (D) 18

57. 6 109 16 2 5 15 13 53 ? 22 19 17 48 21 51 (A) 25 (B) 129 (C) 7 (D) 49

58. If D = 4 and COVER = 63, then BASIS = ?

(A) 49 (B) 50 (C) 54 (D) 55

59. If ‘P’ means “+”; ‘R’ means “X”; ‘S’ means “–”; ‘T’ means “”, then what is the value of 5 R 9 P 7 S 9 T 3 P 6 = ?

(A) 54 (B) 128 (C) 59 (D) 55

60. If  means +, – means ,  means – and + means , then

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ANSWER KEY