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RRoll No : Date :

Name of Student : ________________________________________________________

Father’s Name : ___________________________________________________________

Name of School : __________________________________________________________

_________________________________________________________________________

ATSE - SENIOR - 2018AVIRAL TALENT SEARCH EXAM

Time : 2 Hr. M. M. : 320

SAMPLE PAPER

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Physics, Chemistry,Mathematics, Biology & Mental AbilityFor Class - XI Studying Students

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INSTRUCTIONS1. This question paper contains 80 Questions and Total Max. Marks is 320. Attempt all questions.2. This question paper contains three Section namely, Section-1 : (Physics), (Chemistry)

Section-2 : Mathematics/Biology, and Section-3 : Mental Ability.3. Section-1 has 20 questions each from Physics, Chemistry. Section-2 has 25 questions and Section-3 has 15

questions.4. For each correct answer 4 marks will be awarded and for wrong answer 1 mark will be deducted. No marks will

be given for unattempted question.5. Use only blue/black pen (avoid gel pen) for darkening the bubble.6. The Answer sheet will be checked through computer hence, the answer of the question must be marked by

shading the circles against the question by dark blue/black pen.7. Write your name and Roll number carefully on the answer sheet as well as the questions paper.

SECTION - 1 [PHYSICS]

1. Let us assume that the acceleration due to gravity be10 m/s2. If acceleration due to gravity (g), the velocity(v) acquired by a body after falling from rest for 5seconds and the momentum (p) acquired by a massof 1 kg in falling freely from rest for 10 seconds aretaken as the fundamental units, then the value of theunit of mass in terms of kg?(a) 1 kg (b) 2 kg(c) 5 kg (d) 10 kg

2. Conversion of 1 MW power in a system of units havingbasic units of mass, length and time as 10kg, 1 decimetre and 1minute respectively is(a) 2.16 × 1010 unit (b) 2 × 104 unit(c) 2.16 × 1012 unit (d) 1.26 × 1012 unit

3. The frequency 'n' of transverse waves in a string oflength l and mass per unit length m, under a

tension T is given by n = a b ckl T m where k isdimensionless. Then the values of a, b, c, are

(a)1 1 1, ,2 2 2

(b) -1, 12

, 12

(c)1 1 1, ,2 2 2

(d)1 1 1, ,2 2 2

4. The displacement-time graph of a motion is shown inFig. The ratio of the magnitudes of the speeds duringthe first two seconds and the next four seconds is

A

B1 2 3 4 5 6

10

20

30

40D

ispl

acem

ent (

m)

Time(s)

0

(a) 1 : 1 (b) 1 : 2

(c) 2 : 1 (d) 1: 2

5. Which of the following forces are called fundamentalforces:(a) gravitational force (b) frictional force(c) electrostatic force (d) elastic force(e) nuclear forces (f) force due to surface

tension(a) b, d, f (b) a, c, e(c) a, b, d, f (d) a, b, c, d,e, f

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6. A body takes n times as much time to slidedown an identical 45º rough incline as it takes toslide down a smooth 45º incline. The coefficient offriction is

(a) 211n

(b) 211n

(c) 211n

(d) 21

1

n

7. Initial angular velocity of a circular disc of mass M is1 . Then two small spheres of mass m are attached

gently to two diametrically opposite points on theedge of the disc. What is the final angular velocity ofthe disc?

(a) 1M m

M

(b) 1

M mm

(c) 14M

M m

(d) 12M

M m

8. A circular portion of diameter R is cut out from auniform circular disc of mass M and radius R asshown in figure. The moment of inertia of the remaining(shaded) portion of the disc about an axis passingthrough the centre O of the disc and perpendicular toits plane is

RRO

Cut out circularportion

(a) 215 MR32

(b) 27 MR

16

(c) 213 MR32

(d) 23MR8

9. Two metallic spheres each of mass M are suspendedby two strings each of lenght L. The distance betweenthe upper ends of the strings is L. The angle whichthe strings make with the vertical due to mutual at-traction of the spheres is

(a)2

1 2tangLGM (b)

gLGM1tan

(c)2

1tangLGM (d)

gLGM2

tan 1

10. A projectile is fired vertically upwards from the sur-

face of the earth with a velocity eKV , where eV is theescape velocity and K < 1. If R is the radius of theearth, the maximum height to which it will rise mea-sured from the centre of the earth will be (neglect airresistance)

(a)21 K

R

(b) 21RK

(c) 2(1 )R K (d) 21RK

11. A particle of mass 1 kg is projected at an angle 450 tothe horizontal with an initial velocity of 20 m/s. Changein momentum during its time of flight is

(a) 10 2 kg m/s (b) 20 2 kg m/s

(c) 30 2 kg m/s (d) 40 2 kg m/s

12. A car is moving along a straight road with a uniformacceleration. It passes through two points P and Qseparated by a certain distance with velocity of 30kmph and 40 kmph respectively. Velocity of the carexactly midway between P and Q is(a) 33.3 kmph (b) 20 kmph(c) 25 kmph (d) 35 kmph

13. Two bodies are thrown from the same point with thesame velocity of 50ms-1. If their angles of projectionare complimentary to each other and the difference ofmaximum heights is 30m, the maximum heights are(g=10 m/s2)(a) 50 m & 80 m (b) 47.5 m & 77.5 m(c) 30 m & 60 m (d) 25 m & 55 m

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14. A man and a cart move towards each other. The manweighs 64 kg and the cart 32kg. The velocity of theman is 5.4 km/hr and that of the cart is 1.8 km/hr.When the man approaches the cart, he jumps on toit. The velocity of the cart carrying the man will be(a) 3 km/hr (b) 30 km/hr(c) 1.8 km/ hr (d) zero

15. The displacement of a body moving along a straightline is given by : S = btn, where 'b' is a constant and't' is time. For what value of 'n' the body moves underthe action of constant force?(a) 3/2 (b) 1(c) 2 (d) 1/2

16. The limiting friction between two surfaces does notdepend(a) on the nature of two surfaces(b) on normal reaction(c) on the weight of the body(d) on volume of the body

17. A solid sphere is projected up along an inclined planefrom its bottom with a velocity 2.8 ms1, so that itsrolls upward. If the inclined plane makes an angle 30ºwith horizontal , the sphere can roll to a maximumheight(a) 0.35 m (b) 0.56 m(c) 0.7 m (d) 0.84 m

18. A thin rod of mass M and length L is bent into a circularring. The expression for moment of inertia of ring aboutan axis passing through its diameter is

(a)2

2ML2p

(b)2

2ML4p

(c)2

2ML8p

(d)2

2MLp

19. Two copper circular discs are of the same thickness. The diameter of A is twice that of B. The moment ofinertia of A as compared to that of B is(a) twice as large (b) four times as large(c) 8 times as large (d) 16 times as large

20. An astronaut orbiting the earth in a circular orbit 120km above the surface of earth, gently drops a ballfrom the space-ship. The ball will(a) Move randomly in space(b) Move along with the space-ship(c) Fall vertically down to earth(d) Move away from the earth

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SECTION - 1 [CHEMISTRY]21. Number of moles of Kl required to prepare 0.4 moles

of K2 Hgl4, when HgCl2 reacts with Kl(a) 0.4 moles of Kl(b) 0.8 moles of Kl(c) 1.6 moles of Kl(d) 3.2 moles of Kl

22. A 3p orbital has(a) two non spherical nodes(b) two spherical nodes(c) one spherical and non-spherical node(d) one spherical and two non-spherical nodes

23. The atomic number (Z) on an element is 25. In itsground state how many electrons are present in the"N" shell ?(a) 13 (b) 2(c) 15 (d) 3

24. A one litre closed vessel was maintained at constanttemperature contains 5 × 1012 molecules of an idealgas. How many molecules remain if the volume ofthe vessel is reduced to 0.05 lit(a) 5 × 1012 (b) 1.25 × 1012

(c) 2.5 × 1010 (d) 1 × 1015

25. Which of the following statement is correct forCsBr3(a) It is a covalent compound(b) It contains Cs3+ and Br¯ ions(c) It contains Cs+ and Br3¯ions(d) It contains Cs+, Br3¯ and lattice Br2 molecule

26. Which of the following represents the given mode

of hybridisation 2 2sp sp sp sp- - - from left toright ?

(a) 2H C CH C N= - º(b) HC C C CHº - º(c) 2 2H C C C CH= = =

(d)

27. The dipole moment of HBr is 0.78 × 1018 esu cm.The ionic character of HBr is(a) 7.5(b) 11.52(c) 15(d) 27

28. In the isoelectronic species the ionic radii of N3–, O2–, F– are respectively given by(a) 1.36, 1.40, 1.71(b) 1.36, 1.71, 1.40(c) 1.71, 1.40, 1.36(d) 1.71, 1.36, 1.40

29. Which of the following is large radius(a) crystal(b) covalent(c) vanderwaal’s(d) All are same

30. Number of structural isomers for C4H10O are(a) 6(b) 7(c) 4(d) 5

31. Which of the following species has electron releasing(or +I inductive) effect?(a) —NH2(b) —COOH(c) (CH3)2CH(d) C6H5̄

32. Iron in lowest oxidation state is in

(a) 4FeSO , OH7 2(b) 5COFe(c) OFe 94.0

(d) 43OFe

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33. The lightest radioactive isotope in periodic table is(a) Tritium (b) Deuterium(c) Protium (d) All the above

34. When a hydrogen atom is raised from the ground stateto an excited state.(a) Both kinetic energy and potential energy de-

crease(b) Potential energy increases and kinetic energy

decreases(c) Potential energy decreases and kinetic energy

increases(d) Both kinetic energy and potential energy increase

35. The vapour pressure of a dry gas is(a) Less than that of wet gas(b) greater than that of wet gas(c) equal to that of wet gas(d) double then wet gas

36. The temperature at which the reaction

2 2122

Ag O s Ag s O g at 1 atmospheric

pressure will be in equilibrium is ____K. The value ofH and S for the reaction are 30.58 Kj and 66.11 JK-1 respectively and these value do not change muchwith temperature.(a) 462.6 K(b) 486.4 K(c) 364.5 K

(d) 521.2 K

37. An atom with atomic number 20 is most likely tocombine chemically with the atom whose atomicnumber is(a) 11 (b) 16(c) 18 (d) 10

38. The correct order of ionization potential values of Be,B, Li, C atom is(a) Be < B < Li < C(b) Li < Be < B < C(c) Li < Be > B < C(d) Li > Be > B < C

39. A mixture of n - Butyl amine and petrol can beseparated by using(a) HCl(b) NaOH

(c) 2 3Na CO

(d) 3NaHCO

40. Formula of phenyl carbinol and chloral are respectively

(a) 6 5 2 2C H CH CH OH and 2CHCl CHO

(b) 6 5 2C H CH OH and 3CCl CHO

(c) 6 5C H OH and 2 .CH Cl CHO

(d) 6 5C H CHO and 2CHCl CHO

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SECTION - 2 [MATHEMATICS]41. If the roots of the equation x² 5x + 16 = 0 are

and the roots of equation x² + px + q = 0 are ² + ²,/2, then(a) p = 1, q = 56 (b) p = 1, q = 56(c) p = 1, q = 56 (d) p = 1, q = 56

42. If b > a, then the equation (x a) (x - b) - 1 = 0, has(a) Both roots in [a b](b) Both roots in (, a)(c) Both roots in (b, )(d) One root in (, a) and other in (b, +)

43. The value of m for which the equation x2 – x + m2 = 0has no real roots is given as(a) |m| > 1/2 (b) m = 0(c) m < 1/2 (d) m > 1/2

44. The equation formed by decreasing each root ofax2 + bx + c = 0 by 1 is 2x2 + 8x + 2 = 0, then:(a) a = – b (b) b = – c(c) c = – a (d) b = a + c

45. If |z| = 4 and arg 5z6

, then z =

(a) 2 3 2i (b) 2 3 2i

(c) 2 3 2i (d) 3 i

46. Which of the following is correct ? i 1(a) 8 + 7i > 3 + 2i (b) 6i > 5i(c) 2 + 3i > 2 3i (d) None of these

47. If P is affix (representative) of z in Argand’s diagram andz iz 1

is always purely imaginary, then locus of P is

(a) circle with centre 1 1,2 2

and radius 12

(b) circle with centre 1 1,2 2

and radius=12

(c) circle with centre 1 1,2 2

and radius 12

ex-

cept the piont (0, 1) and (1, 0)(d) None of these

48. If z = x + iy is a complex number satisfying2 21 1z z

2 2 , then the locus of z is

(a) 2y = x (b) y = x(c) y-axis (d) x-axis

49. The larger of 9950 + 10050 and 10150 is(a) 9950 + 10050 (b) Both are equal(c) 10150 (d) None of these

50. Co-efficient of x4 in the expansion of(1 + x + x² + x³)11 is(a) 920 (b) 850(c) 890 (d) 990

51. If the coefficients of second, third and fourth term inthe expansion of (1 + x)2n are in A.P., then2n² 9n + 7 is equal to(a) 1 (b) 0(c) 1 (d) 3/2

52. Numerically greatest term in the expansion of

(2 + 3x)9, when 3

x2

is

(a) T4 (b) T5(c) T7 (d) None of these

53. The number of ways, in which 12 identical coins canbe put into 5 different purse, if none of the purse re-mains empty, is(a) 660 (b) 110(c) 165 (d) 330

54. Total number f positive integral solutions of the equa-tion x1 . x2 . x3 = 60, is equal to(a) 27 (b) 54(c) 64 (d) None of these

55. The number of numbers that can be formed with thehelp of the digits 1, 2, 3, 4, 3, 2, 1 so that odd digitsalways occupy odd places, is(a) 24 (b) 18(c) 12 (d) 30

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56. In a plane there are 37 straight lines, of which 13pass through the point A and 11 pass through thepoint B. Besides, no three lines pass through onepoint, no line passes through both points A and B,and no two are parallel. Then the number of intersec-tion points the lines have is equal to(a) 535 (b) 601(c) 728 (d) None of these

57. If sin 1 + sin 2 + sin 3 = 3 thencos 1 + cos 2 + cos 3 is equal to(a) 3 (b) 2(c) 1 (d) 0

58. If sin 3 = sin, then the general value of is

(a) 2n , 2n 1 3

(b) n , 2n 14

(c) n , 2n 1 3

(d) None of these

59. The maximum value of 5 cos + 3cos 3

+ 3 is

(a) 5 (b) 11(c) 10 (d) 1

60. The value of sin³ 10º + sin³ 50º sin³ 70º is equal to

(a)32

(b)34

(c)34

(d)38

61. If a triangle ABC has its sides in A.P., thencosA + 2cosB + cosC is equal to(a) 2 (b) 4(c) 1 (d) None of these

62. If the sum of first n terms of two A.P.’s are in the ratio3 n + 8 : 7n + 15, then the ratio of 12th term is(a) 8 : 7 (b) 7 : 16(c) 74 : 169 (d) 13 : 47

63. A person is to count 4500 currency notes. Let an de-note the number of notes he counts in the nth minute.If a1 = a2 = .... a10 = 150 and a10, a11,..... are in an A.P.with common difference – 2, then the time taken byhim to count all notes is(a) 24 minutes (b) 34 minutes(c) 125 minutes (d) 135 minutes

64. If the sum of the first ten terms of the series2 2 2 2

23 2 1 41 2 3 4 4 .......,5 5 5 5

is

16 ,5

m the m is equal to

(a) 101 (b) 100(c) 99 (d) 102

65. Let A be the sum of the first 20 terms and B be sum ofthe first 40 terms of the series12 + 2.22 + 32 + 2.42 + 52 + 2.62 + .... if B – 2A = 100,then is equal to(a) 464 (b) 496(c) 232 (d) 248

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SECTION -2 [BIOLOGY]

41. The five kingdom classification was proposed by(a) R.H. Whittaker (b) C.Linnaeus(c) A. Roxberg (d) Virchow

42. Organisms living in salty areas are called as(a) Methanogens(b) Halophiles(c) Heliophytes(d) Thermoacidophiles

43. Naked cytoplasm, multinucleated and saprophyticare the characteristics of(a) Monera (b) Protista(c) Fungi (d) Slime molds

44. A Prothallus is(a) A structure in pteridophytes formed before the

thallus develops(b) A sporophytic free living structure formed in

pteridophytes(c) A gametophytic free living structure formed in

pteridophytes(d) A primitive structure formed after fertilization in

pteridophytes

45. Plants of this group are diploid and well adapted toextreme conditions.They grow bearing sporophyllsin compact structures called cones. The group inreference is(a) Monocots (b) Dicots(c) Pteridophytes (d) Gymnosperms

46. Which of the following pairs of animals has nonglandular skin(a) Snake and Frog(b) Chameleon and Turtle(c) Frog and Pigeon(d) Crocodile and Tiger

47. Birds and mammals share one of the followingcharacteristics as a common feature.(a) Pigmented skin(b) Alimentary canal with some modification(c) Viviparity(d) Warm blooded nature

48. Interfascicular cambium and cork cambium areformed due to(a) Cell division (b) Cell differentiation(c) Cell dedifferentiation (d) Redifferentiation

49. The clitellum is a distinct part in the body ofearthworm, it is found in?(a) Segments 13 - 14 - 15(b) Segments 14 - 15 - 16(c) Segments 12 - 13 - 14(d) Segments 15 - 16 - 17

50. Which one of the following statements is true forcockroach?(a) The number of ovarioles in each ovary are ten.(b) The larval stage is called caterpillar(c) Anal styles are absent in females(d) They are ureotelic

51. Which of the following features is common toprokaryotes and many eukaryotes?(a) Chromosomes present(b) Cell wall present(c) Nuclear membrane present(d) Sub cellular organelles present

52. Species is(a) population of individuals having same genotypes

and phenotypes(b) a group of individuals inhabiting a geographical

area(c) a group of interbreeding populations(d) population of one type

53. The highest level of organization among following is(a) ecosystems (b) landscapes(c) populations (d) communities

54. Cellular respiration(a) occurs in heterotrophs only(b) occurs in response to environmental changes(c) is carried in both autotrophs and heterotrophs(d) is a process whereby sun light is used to syn-

thesize cellular components with release of en-ergy

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55. Cephaleuros is a parasitic alga which causes(a) Water bloom formation(b) Red rust of tea(c) Potato blight(d) Rust to wheat

56. Bryophytes and pteridophytes are highly restricted intheir distribution on earth because they(a) Are sciophytes(b) Produce motile antherozoids(c) Need water for act of fertilization(d) All of the above

57. Coralloid roots of Cycas contain endophytic colony of(a) Nostoc(b) Aulosira(c) Anabaena(d) Gloeotrichia

58. Which of the following is not a coelenterate ?(a) Sea lily (b) Sea pen(c) Sea anemone (d) Sea fan

59. Which is not an exclusive trait of Arthropoda ?(a) Haemocoel(b) Jointed appendages(c) Presence of wings(d) Chitinous exoskeleton

60. Which of the following sets of animals belong to thesame class of a phylum ?(a) Bat, pigeon, whale(b) Spider, scorpion, tick(c) Whale, shark, kangaroo(d) Hydra, jellyfish, crayfish

61. Diagnostic feature of insects is(a) three pairs of legs(b) compound eyes(c) two pairs of wings(d) chitinous body

62. Haemocoel is found in(a) Hydra and Aurelia(b) Taenia and Ascaris(c) Periplaneta and Pila(d) Herdmania and Balanoglossus

63. Radial vascular bundles are found in(a) Dicot roots(b) Monocot roots(c) Orchid roots(d) All of these

64. Vascular bundle in which the protoxylem is pointingtowards periphery is called(a) Endarch (b) Exarch(c) Mesarch (d) Tetrarch

65. In typical dicot root, the(a) Vascular bundles are 6 or less than 6 in number(b) Pith is wide and cortex is reduced(c) Chambium occurs in vascular bundles for sec-

ondary growth(d) All of the above

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Q. 66 to Q. 67S and R are brothers. T is daughter of S. U is the spouseof R and mother of Q. P is the daughter of V, who is thespouse of T.

66. Who is the grandfather of P ?(a) U (b) S(c) R (d) V

67. Who is the cousin of Q ?(a) T (b) V(c) R (d) P

68. If REASON is coded as 5 and BELIEVED as 7, whatis the code for GOVERNMENT ?(a) 6 (b) 8(c) 9 (d) 10

69. In a chess tournament each of six players will playwith every other player exactly once. How manymatches will be played during the tournament?(a) 12 (b) 15(c) 30 (d) 36

Q. 70 to Q. 71A, B, C, D, E and F are seated in a circle facing the centre.D is between F and B. A is second to the left of D andsecond to the right of E.

70. Who is facing A ?(a) B (b) D(c) F (d) Either F or B

71. Who among the following is facing D?(a) A(b) C(c) E(d) Cannot be determined

Q. 72 to Q. 76I. P, Q, R, S, T and U are six students procuring their

Master’s degree in six different subjects - English,History, Philosophy, Physics, Statistics andMathematics.

II. Two of them stay in hostel, two stay as paying guest(PG) and the remaining two stay at their home

III. R does not stay as PG and studies Philosophy

SECTION - 3 [MENTAL ABILITY]

IV. The students studying Statistics and History do notstay as PG.

V. T studies Mathematics and S studies Physics.VI. U and S stay in hostel. T stays as PG and Q stays

at home.

72. Who studies English ?(a) R (b) S(c) T (d) None of these

73. Which of the following combinations of subjects andplace of stay is not correct ?(a) English - Hostel (b) Mathematics - PG(c) Philosophy - Home (d) None of these

74. Which of the following pairs of students stay one eachat hostel and at home ?(a) Q R (b) S R(c) U S (d) None of these

75. Which subject does Q study ?(a) History (b) Statistics(c) History or Statistics (d) Data inadequate

76. Which of the following pairs of students stay at home?(a) PQ (b) QR(c) RS (d) None of these

77. Sonal ranks 7th from the top and 28th from the bottomin a class. How many students are there in the class?(a) 35 (b) 34(c) 33 (d) 31

78. A man facing east. He turns 100º in the clockwisedirection and then 145º in the anticlockwise direction.Which direction is he facing now?(a) East (b) North-West(c) North-East (d) South-West

79. Choose odd one(a) Flood (b) Hurricane(c) Explosion (d) Earthquake

80. TOMATO : MTOOTA : : 123412 : ?(a) 312214 (b) 123456(c) 321124 (d) 213314

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ANSWER KEY

SECTION-1 SCIENCE

PHYSICS1. (2)2. (3)3. (2)4. (3)5. (2)6. (1)7. (3)8. (2)9. (3)10. (2)11. (2)12. (4)13. (2)14. (1)15. (3)16. (4)17. (2)18. (3)19. (4)20. (2)

CHEMISTRY

21. (3)22. (3)23. (2)24. (1)25. (3)26. (1)27. (2)28. (3)29. (3)30. (2)31. (3)32. (2)33. (1)34. (2)35. (1)36. (1)37. (2)38. (3)39. (1)40. (1)

SECTION-3

MENTAL ABILITY66. (2)67. (1)68. (3)69. (2)70. (2)71. (2)72. (4)73. (1)74. (2)75. (3)76. (2)77. (2)78. (3)79. (3)80. (1)

SECTION-2

MATHEMATICS41. (2)42. (4)43. (1)44. (2)45. (3)46. (4)47. (3)48. (3)49. (3)50. (4)51. (2)52. (3)53. (4)54. (2)55. (2)56. (1)57. (4)58. (2)59. (3)60. (4)61. (1)62. (2)63. (2)64. (1)65. (4)

BIOLOGY41. (1)42. (2)43. (4)44. (3)45. (4)46. (2)47. (4)48. (3)49. (2)50. (3)51. (2)52. (1)53. (4)54. (3)55. (3)56. (2)57. (3)58. (1)59. (2)60. (1)61. (4)62. (1)63. (4)64. (2)65. (2)