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A P E 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 - XII Studying Students

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SECTION - 1 [PHYSICS ]

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.

1. A capacitor of capacitance C0 charged to a potentialV0 and then isolated. A small capacitor C is thencharged from C0, discharged and charged again, theprocess being repeated n times. Due to this, potentialof the larger capacitor is decreased to V, Value ofC is

(a)1/

00

nVCV

(b)1/

00 1

nVCV

(c) 00 1

nVCV

(d)

10

0 1VCV

2. Two capacitors C1 = 2µF and C2 = 6µF in series, areconnected in paral lel to a third capacitorC3 = 4µF. This arrangement is then connected to abattery of e.m.f.=2 V, as shown in figure. The energylost by the battery in charging the capacitors is

C1 C2

C3

2V

(a) 622 10 J (b) 611 10 J

(c)632 10

3J

(d)

616 103

J

3. A body of 2 gm carrying the charge of 60.1 10coulomb starts from rest of the positive plate andmoves to the negative plate of a parallel platecondenser connected to a voltage supply of 30KV.The final velocity is

(a) 13ms (b) 1312

ms

(c)11

2ms (d) zero

4. The resistance of a wire is 5 ohm at 50ºC and 6 ohmat 100ºC. The resistance of the wire at 0ºC will be :(a) 2 ohm (b) 1 ohm(c) 4 ohm (d) 3 ohm

5. Twelve resistances each of resistance R are connectedin the circuit as shown in fig. Net resistance betweenpoints A and C would be

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(a)5R3 (b)

7R6

(c) R (d)3R4

6. A dip circle is so set that the dip needle moves freelyin the magnetic meridian. In this position, the angleof dip is 39º. Now the dip circle is rotated so that theplane in which the needle moves makes an angle of30º with the magnetic meridian. In this position theneedle will dip by an angle(a) exactly 39º(b) 30º(c) more than 39º(d) less than 39º

7. At a place horizontal component of earth's magnetic

field is 3 times the vertical component, then angleof dip at the given place is(a) 45º (b) 30º(c) 60º (d) 15º

8. A bar magnet produces a neutral point at P. If themagnet is turned through 1800 , the needle at P makes

10 2 oscillations/ min. If the magnet is removed alltogether frequency of oscillation of the needle at P is(a) 20 oscillations / min (b) 0(c) 10 oscillations / min (d) 30 oscillations / min

9. A charge q is placed at the centre of the line joiningtwo equal charges Q. The system of three chargeswill be in equilibrium if q is equal to

(a)2Q

(b)4Q

(c)4Q

(d)2Q

10. The equivalent resistance between the points x andy of the circuit. If each resistance is 25 ohm is

(a) 25 (b) 100 (c) 50 (d) 12.5

11. A magnetic flux of 500 micro-webers passing througha 200 turns coil is reversed in 20×103 seconds. Theaverage emf induced in the coil in volts, is :(a) 2.5 (b) 5.0(c) 7.5 (d) 10.0

12. 128. A non - conducting ring having charge q uniformlydistributed over its circumference is placed on a roughhorizontal surface. A vertical time varying magneticfield B = 4t² is switched on at time t=0. Mass of thering is m and radius is R. The ring starts rotating after2 s. The coefficient of friction between the ring andthe table is :

(a)4qmR

g (b)2qmR

g

(c)8qRmg (d) 2

qRmg

13. Select the correct options among the following: In anR-C circuit

(i) instantaneous A.C is given by I = I0sin ( )wt (ii) the alternating current in the circuit leads the

emf by a phase angle.

(iii) Its impedance is 2 2( )R c

(iv) Its capacitive reactance is c(a) (i), (ii) are ture(b) (ii), (iii), (iv) are true(c) (iii), (iv) are true(d) (i), (iii) are true

14. The potential difference between the ends of aresistance R is VR, between the ends of capacitor isVC = 2VR and between the ends of inductance isVL = 3VR then the alternating potential of the sourcein terms of VR will be

(a) R2V (b) VR

(c)RV2 (d) 5VR

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15. An LC circuit has L = 5 mH and c = 20F..3V 5 10 cos t is supplied. is twice the

resonant frequency. find the maxmum charge storedin the capacitor.(a) 66.6 nC (b) 11.3 nC(c) 23.2 nC (d) 33.3 nC

16. When the beam of light travels through a medium whichhas lesser velocity of light then the value of wavelengthand frequency will respectively(a) increase, decrease(b) increase, unchanged(c) decrease, unchanged(d) decrease, decrease

17. A wire gauge is illuminated with blue light and aconvex lens forms a sharp image of it on a screen. Ifnow the wire gauge is illuminated with red light, to geta sharp image again the screen must be(a) moved towards the lens(b) moved away from the lens(c) placed there itself(d) moved to infinity

18. The image formed by the telescope in normaladjustment position is at(a) D (b) 2D(c) F (d) Infinity

19. Consider the following two statements A and B andidentify the correct choice in the given answersA. In Huygen’s eye piece, the two plane surfaces

of two plano - convex lenses facetowards the eye

B. In Huygen’s eye piece the focal length of thefield lens is equal to the focal length of the eyelens

(a) Both A and B are true(b) A is true but B is flase(c) A is flase but B is true(d) Both A and B are false

20. For superposition of two waves, the following is correct(a) they must have the same frequency and wavelength(b) they must have equal frequencies but may have

unequal wavelengths(c) they must have the same wave-length, but may

have different frequencies(d) they may have different wavelength and different

frequencies

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SECTION - 1 [CHEMISTRY]

21. In antifluorite structure co-ordination number of anionis(a) 4 (b) 6(c) 8 (d) 12

22. 10.6g of a substance of molecular weight 106 was dis-solved in 100ml. 10ml of this solution was pipetted outinto a 1000ml flask and made upto the mark with dis-tilled water. The molarity of the resulting solution is(a) 1 M (b) 102M(c) 103M (d) 104M

23. If the elevation in boiling point of a solution of 10gm ofsolute (mol. wt.=100) in 100 gm of water is Tb, theebullioscopic constant of water is(a) 10 (b) 10Tb

(c) Tb (d) bT10

24. The standard reduction potential of three metals X,Y,Zare 0.52, –3.03 and –1.18V respectively. The orderof reducing power of the corresponding metals is(a) Y > Z > X(b) X > Y > Z(c) Z > Y > X(d) Z > X > Y

25. For the reactions of I, II and III orders, 1 2 3K K K when concentrations are expressed in mol 1litre .What wil l be the relat ion in 1 2 3K ,K , K , i fconcentrations are expressed in mol/mL ?(a) k1 = k2 = k3

(b) k1 = k2 × 103 = k3 × 106

(c) k1 = 2k2 = k3

(d) 2k1 = 3k2 = 4k3

26. The rate constant value amongst the following whichindicates the reaction that occurs to the greatestextent(a) 10 (b) 100(c) 0.1 (d) 1

27. Which of the following orders of melting point ofhybrides of halogens is correct ?(a) HF > HCl > HBr(b) HF < HCl < HBr(c) HF > HCl < HBr(d) HF < HCl > HBr

28. Diethyl ether finds its use in medicine as(a) anaesthetic(b) antiseptic(c) Hypnotic(d) Pain killer

29. Acetaldehyde when treated with Conc.H2SO4 atroom temp. undergoes trimerisation and forms(a) Metaldehyde(b) Aldol(c) Paraldehyde(d) Acetaldoxime

30. Diphenyl hydrazine is same as(a) azoxybenzene(b) azobenzene(c) hydrazobenzene(d) aniline

31. Hydrazo benzene can be obtained from nitrobenzene in presence of following.(a) Zn+(Alc)KOH(b) Zn+HCl(c) Zn+ZnO(d) Zn+H2SO4

32. Zn+2 dissolves in excess of NaOH due to theformation of(a) Soluble Zn (OH)2

(b) Soluble Na2 [Zn (OH)4](c) Soluble Na (Zn (OH)3](d) ZnO

33. Potassium crystallizes with a(a) Face-centred cubic lattice(b) Body-centred cubic lattice(c) Simple cubic lattice(d) Orthorhombic lattice

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34. Pressure Cooker reduces cooking time because(a) The heat is more evenly distributed(b) The higher pressure tenderizes the food(c) The boiling point of water inside is elevated(d) A larger flame is used

35. Which metal pairs when coupled will get maximumemf for a voltaic cell(a) Fe and Cu(b) Pb and Cu(c) Cu and Au(d) Ca and Cu

36. 75% of a first order reaction is completed in 32minutes. 50% of the reaction would have beencompleted(a) 24 mins (b) 16 mins(c) 18 mins (d) 23 mins

37. Percentage of Cl2 in CaOCl2(a) 35% (b) 56%(c) 85% (d) 12%

38. product is

(a) (b)

(c) (d)

39. The reaction, 6 5 2HeatC H NO KOH s

P—and P— nitrophenol is an example of(a) Nucleophilic substitution(b) Electrophilic substitution(c) Free radical substitution(d) Electrophilic addition

40. Which of the following statements about the oxidizingproperty of KMnO4 in acidic medium is not correct?(a) 2H S is oxidized to 2

4SO

(b) 2H S is oxidized to S

(c) 23SO gets oxidized to 2

4SO

(d) 2Sn gets oxidized to 4Sn

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SECTION - 2 [MATHEMATICS]

41.1 xdx1 x

(a) 1 21sin x 1 x C2

(b) 1 21sin x 1 x C2

(c) 1 2sin x 1 x C (d) 1 2sin x 1 x C

42.3/2

1

| sin x | dx

(a)2

4

(b) 2

2

(c) 2

(d) 4

43. x 3x4sinxcos cos dx

2 2 is equal to

(a)1 1

cosx cos2x cos3x C2 3

(b)1 1

cosx cos2x cos3x C2 3

(c)1 1cosx cos2x cos3x C2 3

(d)1 1cosx cos2x cos3x C2 3

44. The value of

4n

2n r 1

nlimr 3 r 4 n

is equal to

(a)1

35(b)

114

(c)1

10(d)

15

45.sinx cos x dx9 16sin2x

is equal to

(a)1 5 4(sin x cos x)n C

20 5 4(sin x cosx

(b)1 5 4(sin x cos x)n C

40 5 4(sinx cosx

(c) 11 4(sin x cosx)tan C

20 5

(d) None of these

46. 2 2 2 2

1dx

(x a )(x b )

(a)1 1

2 2

1 1 x 1 xtan tan Cb b a a(a b )

(b)1 1

2 2

1 1 x 1 xtan tan Cb b a a(b a )

(c)1 11 x 1 xtan tan C

b b a a

(d)1 11 x 1 xtan tan C

a a a b

47. Out of 21 tickets marked with numbers from 1 to 21,three are drawn at random. The chance that the num-bers one them are in A.P., is

(a)10133 (b)

9133

(c)9

1330 (d) None of these

48. Two fair dice are tossed. Let A be the event that thefirst die shows an even number and B be the eventthat second die shows an odd number. The two eventsA and B are(a) Mutually exclusive(b) Independent and mutually exclusive(c) Dependent(d) None of these

49. Each coefficient of the equation ax² + bx + c = 0 isdetermined by throwing an ordinary die. Then the prob-ability that the equation has non-real complex rootsis given by(a) 173/216 (b) 43/216(c) 173/432 (d) None of these

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50. A man has 3 pairs of black socks and 2 pairs of brownsocks kept together in a box. If he dressed hurriedlyin the dark, the probability that after he has put on ablack sock, he will then put on another black sock is(a) 1/3 (b) 2/3(c) 3/5 (d) 2/15

51. If the probability of choosing an integer ‘n’ out of 2mintegers {1, 2, 3,....., 2m 1, 2m} is inversely propor-tional to n4 (1 < n < 2m}, then the probability of thechosen number being odd is(a) 1/2 (b) < 1/2(c) > 1/2 (d) None of these

52. What are the local minimum and maximum values ofthe function x5 5x4 + 5x³ 10 ?(a) 37, 9 (b) 10, 0(c) It has 2 minimum and 1 maximum values(d) It has 2 maximum and 1 minimum values

53. The function f(x) = tan1 (sin x + cos x) is an increas-ing function in

(a) ,2 4

(b) 0,

2

(c) ,2 2

(d) ,

4 2

54. For the curve yn = an1x, the sub-normal at any pointis constant, the value of n must be(a) 2 (b) 3(c) 0 (d) 1

55. Rectangle of maximum area that can be inscribed inan equilateral triangle of side a will have area =

(a)2a 32

(b)2a 34

(c)2a 38

(d) None of these

56. The domain of the function 1sin (3 x)f(x)

In(| x | 2)

is

(a) [2, 4] (b) (2, 3) (3, 4](b) [2, ) (d) (, ) [2, )

57. The period of | sin 2x| + | cos 8 x| is(a) /2 (b) /8(c) /16 (d) None of these

58. The function f : R R defined by f(x) = (x 1) (x 2)(x 3) is(a) One-one but not onto(b) Onto but not one-one(c) Both one-one and onto(d) Neither one-one nor onto

59. The range of f(x) = [|sin x| + |cos x|], where [.] de-notes the greatest integer function, is(a) {0} (b) {0, 1}(c) {1} (d) None of these

60. If f(x) = log 1 x ,1 x

then f 2

2x ,1 x

(a) [f(x)]2 (b) [f(x)]3

(c) 2f(x) (d) 3f(x)61. The value of constants a and b so that

2

x

x 1lim ax b 0x 1

is

(a) a = 0, b = 0 (b) a = 1, b = 1(c) a = 1, b = 1 (d) a = 2, b = 1

62. The value of m

m

xlim cos

m

is

(a) 1 (b) e(c) e1 (d) None of these

63. If 2x [x] x sin(x [x]); x 0

f(x)0; x 0

, where [.]

denotes the greatest integer function, then(a) f(x) is differentiable at x = 0(b) f(x) is differentiable at x = 2(c) f(x) is continuous but not differentiable at x = 0(d) None of these

64. Let 2

2x 0

xlim l

x and

2

2x 0

[x ]lim mx

, where [ ] denotes

greatest integer, then(a) l exists but m does not(b) m exists but I does not(c) I and m both exist(d) neither I nor m exists

65. The value of the derivative of | x – 1| + | x – 3| at x = 2is(a) –2 (b) 0(c) 2 (d) Not defined

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SECTION - 2 [BIOLOGY]

41. The microspore tetrad of angiosperm at the time offormation, are surrounded by a callose wall. Breakdownof this wall is brought about by the enzyme callasesynthesized by the(a) Tetrad cytoplasm(b) Ribosome of the tetrad(c) Spore mother cells(d) Cells of tapetum

42. In angiosperms, the following events occur duringmegasporogenesis and megagametogenesis(i) Differentiation of megaspore mother cells(ii) Meiosis of the megaspore mother cell(iii) Formation of a linear tetrad(iv) Mitotic division of the functional megaspore(v) Degeneration of 3 megaspores(vi) Formation of embryo sac(vii) Fusion of polar nucleiThe correct sequence is(a) v, i, ii, vi, vii, iii, iv(b) iv, iii, vii, vi, ii, i, v(c) i, ii, iii, v, iv, vi, vii(d) v, i, ii, vi, vii, iv, iii

43. From a cross AABb × aaBb, the genotypes AaBB :AaBb : Aabb : aabb will be obtained in the followingratio(a) 1 : 1 : 1 : 1(b) 1 : 2 : 1 : 0(c) 0 : 3 : 1 : 0(d) 1 : 1 : 1 : 0

44. In an organism, pink spot is a sex-linked recessivetrait and black hair is dominant to white. If a pinkspotted black heterozygous female is mated to awhite male which is not spotted, the phenotypic ratioof the offspring would be(a) 1/4 spotted black; 1/4 pink spotted white; 1/4

unspotted black; 1/4 unspotted white(b) 1/2 pink spotted black; 1/2 pink spotted white(c) 3/4 pink spotted black; 1/4 pink spotted white(d) 3/4 unspotted black ; 1/4 pink spotted white

45. In a certain plant, red flowers (R) are dominant towhite flowers (r) and tallness (T) is dominant todwarfness (t). A heterozygous plant (RrTt) isbackcrossed with a double recessive plant (rrtt). Ifthe gene loci for colour and size and situated veryclose together on the same chromosome, theexpected percentage of offsprings could beapproximately

tall red tall white dwarf red dwarf white(a) 25% 25% 25% 25%(b) 49%, 49% 1% 1%(c) 49% 1% 1% 49%(d) 1% 1% 49% 49%

46. Degenerative diseases are those which develop dueto(a) Malfunction of hormones(b) Degeneration of tissues(c) Malfunction of certain body organs(d) Degeneration of the infected organs

47. ‘Bacillary dysentery’ is caused by(a) Salmonella (b) Shigella(c) Proteus (d) Entamoeba

48. The bread is soft and porous when the yeast cellsare mixed in the lump of wheat flour because(a) Yeast produce benzoic acid(b) Evolution of CO2 makes the bread spongy(c) Yeast is soft and flour also becomes soft(d) Yeast produces acetic acid and alcohol which

give softness to the bread

49. Antibiotics inhibit the growth of or destroy(a) Bacteria and fungi(b) Bacteria and viruses(c) Bacteria, algae and viruses(d) Bacteria, fungi and viruses

50. The fruit juices turn bitter in taste if they are kept inopen place for some time, because of(a) Bacteria of the atmosphere react with the juice(b) Fermentation of the juice by yeast(c) Some internal factors(d) All the above three statements are correct

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51. The secondary sex organs(a) neither produce gametes nor secrete sex hor-

mones(b) produce gametes and secrete sex hormones(c) can not produce gametes but can secrete sex

hormones(d) can produce gametes but can not secrete sex

hormones

52. The endocrine tissue of the testis is constituted pri-marily by(a) seminiferous tubules (b) prostate glands(c) sertoli cells (d) interstitial cells

53. The block to polyspermy is provided by(a) cortical reaction (b) acrosomal reaction(c) capacitation (d) spermiation

54. Immediately after ovulation, the human egg is cov-ered by a membrane known as(a) Chorion (b) Zona pellucida(c) Corona radiata (d) Vitelline membrane

55. Amniocentesis is an important diagnostic techniqueas it(a) Helps in fetal sex determination(b) Prevents unwanted pregnancies(c) Determines the cause of infertility(d) Helps in detecting chromosomal anomalies in

fetus

56. Which of the following is NOT a barrier method ofcontraception ?(a) Condoms(b) Intrauterine devices (IUDs)(c) Diaphragm(d) Cervical cap

57. The world AIDS Day is observed on(a) July 11 (b) June 5(c) December 1 (d) July 1

58. Diacetyl morphine is(a) Pethidine (b) Heroin(c) Cocaine (d) Methadone

59. Lysozyme kills by destroying(a) cells walls(b) mitochondrial enzymes(c) lipid bilayers(d) DNA replication

60. Which of the following is the first step of the poly-merase chain reaction ?(a) denaturation (b) primer extension(c) annealing (d) cooling

61. The______ is a technique used in molecular biologyresearch to study gene expression by detection ofRNA (or isolated mRNA) in a given sample(a) Northern blotting (b) Southern blotting(c) Western blotting (d) Eastern blotting

62. RR (Red) Antirrhinum is crossed with white (WW)one. Offspring RW are pink. This is an example of(a) Dominant-recessive relationship(b) Incomplete dominance(c) Hybridization(d) Supplementary genes

63. The sum total of all the alleles in a population consti-tute the(a) chromosome complement(b) karyotype(c) gene pool(d) allele group

64. The allele combinations for particular genes are calledas_______ and the expression of that allele combi-nation is called as(a) phenotype, genotype(b) karyotype, phenotype(c) genotype, idiogram(d) genotype, phenotype

65. Segregation of Mendelian factors (no linkage, nocrossing over) occurs during(a) Anaphase I (b) Anaphase II(c) Diplotene (d) Metaphase I

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66. BCDA : STUR : : KLMJ : ?(a) VWXU (b) EFHG(c) SRTU (d) QSRP

67. Choose odd one out(a) Metre (b) Furlong(c) Acre (d) Mile

68. If MOBILITY is coded as 46293927, thenEXAMINATION is coded as(a) 45038401854 (b) 56149512965(c) 57159413955 (d) 67250623076

69. Given that1. A is the mother of B2. C is the son of A3. D is the brother of E4. E is the daughter of BThe granddaughter of D is(a) A(b) B(c) C(d) E

70. Find the missing number

1 12 10

15 2 ?8 5 3

(a) 9 (b) 11(c) 4 (d) 6

Q. 71 to 75(i) A, B, C, D, E, F and G are sitting on a wall and all of

them are facing east.(ii) C is on the immediate right of D.(iii) B is at an extreme end and has E as his neighbour(iv) G is between E and F(v) D is sitting third from the south end

SECTION - 3 [MENTAL ABILITY]

71. Who is sitting to the right of E?(a) A (b) C(c) D (d) None of these

72. Which of the following pairs of people are sitting atthe extreme ends?(a) A B (b) A E(c) C B (d) Can’t be determined

73. Name the person who should change places with Csuch that he gets the third place from the north end(a) E (b) F(c) G (d) D

74. Immediately between which of the following pairs ofpeople is D sitting ?(a) A C (b) A F(c) C E (d) C F

75. Which of the conditions (i) to (v) given above is notrequired to find out the place in which A is sitting?(a) (i) (b) (ii)(c) (iii) (d) All are required

Q. 76 to 78I. Five courses A, B, C, D and E each of one month

duration are to the taught from January to May oneafter the other though not necessarily in the sameorder by lecturers P, Q, R, S and T.

II. ‘P’ teaches course ‘B’ but not in the month of Aprilor May.

III. ‘Q’ teaches course ‘A’ in the month of March.IV. ‘R’ teaches in the month of January but does not

teach course ‘C’ or ‘D’.

76. Which course is taught by ‘S’ ?(a) C (b) E(c) Either C or D (d) None of these

77. Which lecturer’s course immediately follows aftercourse ‘B’ ?(a) Q (b) P(c) S (d) None of these

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78. Which course is taught in the month of January ?(a) C (b) E(c) Data inadequate (d) None of these

79. What should be the number opposite to 3?

21 3

31 5

42 3

(a) 1 (b) 6(c) 5 (d) 4

80. Raman is 9th from downward in a class of 31 students.What will be his position from upwards?(a) 21st (b) 22nd

(c) 23rd (d) 24th

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S A MP L E P

A P E R

ANSWER KEY

SECTION-1 PHYSICS

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

CHEMISTRY

21. (C)22. (C)23. (C)24. (A)25. (B)26. (B)27. (C)28. (A)29. (C)30. (C)31. (A)32. (B)33. (B)34. (C)35. (D)36. (B)37. (B)38. (A)39. (A)40. (A)

SECTION-3MENTAL ABILITY

66. (A)67. (C)68. (B)69. (A)70. (C)71. (D)72. (A)73. (C)74. (D)75. (D)76. (C)77. (A)78. (B)79. (B)80. (C)

SECTION-2MATHEMATICS

41. (D)42. (D)43. (C)44. (C)45. (B)46. (A)47. (A)48. (D)49. (A)50. (A)51. (C)52. (A)53. (A)54. (A)55. (B)56. (B)57. (A)58. (B)59. (C)60. (C)61. (B)62. (A)63. (D)64. (B)65. (B)

BIOLOGY

41. (D)42. (C)43. (B)44. (A)45. (C)46. (C)47. (B)48. (B)49. (D)50. (B)51. (A)52. (D)53. (A)54. (B)55. (D)56. (B)57. (C)58. (B)59. (A)60. (A)61. (A)62. (B)63. (C)64. (D)65. (A)