Iit Jee 2010 Part 1

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3 3 3 3

3 3 3 3

3 3 3 3

3 3 3 3

IIT-JEE Website (Paper-I)

CHEMISTRY

SECTION I

Single Correct ChoiceType

A

This section contains 8 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for

its answer, out of which ONLY ONE is correct.

1. If a real gas obey following equation P(V nb) = nRT, at very low pressure, then the intercept and

slope of graph betweend

pVs P are respectively.

(A)MR

,M RT

2

(B)M

,Mb (C)

Mb,

M (D)RT

,b

T b RT RT2 RT RT

2

M M RT 2

2. Arrange the following in the increasing order of s-character in central atom (hybrid orbital)

(A) PH NH NCl N

(C) NH PH NCl N

(B) PH NCl NH N

(D) PH NCl NH N3. In a photoelectric experiment, the stopping potential is plotted

1V0

(Volts)

against

of incident radiation for two different metals, the curve Metal I Metal II

is like as shown in the figure.

Predict which of the following statement is correct:

(A) Slope of the curves for both the metals is 1.242 106

J m

coulomb1

1(m

1)

Work function of metal I = 0.24

eV

(B) When an electromagnetic radiation of wavelength 100 nm strikes the two metals separately, the

stopping potential for metal (I) is 12.18 V.

(C) The stopping potential for metal (I) is more than that of metal (II), if both the metals are exposed to

electromagnetic radiation of wavelength 200 nm separately.(D) All are correct.

Space for Rough Work

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4. The acidic hydrolysis of thioacetamide takes place as

S||

CH3 CNH

2H

2OH

2SCH

3CONH

2


Its rate law is; rate = k[H+] [CH3CSNH2]. If some amount of solid NaOH is added to the 0.1 Mthioacetamide and H+ ion solution at 298 K, then

(A) the reaction rate and rate constant remains constant.

(B) the reaction rate and rate constant both increases.

(C) the reaction rate decreases, and rate constant remains constant.

(D) the reaction rate increases and rate constant remains constant.

5. A body centered cubic lattice is made up of hollow spheres of B. Spheres of solid A are present in

hollow spheres of B. Radius A is half of radius of B. What is the ratio of total volume of spheres of B

unoccupied by A in a unit cell and volume of unit cell

(A)7 3

64(B)

7 3

128

7(C)

24(d) none ofthese

6. For the precipitation of group IV metal ions as their insoluble carbonates, a saturated (NH4)2CO3solution is added as a group reagent. But Na2CO3 or K2CO3 should not be used as the group

reagent because

(A) They will prevent the precipitation of group IV metal carbonates by forming soluble complexsalts.

(B) The presence or absence of Na+

or K+

in the original salt mixture can not be ascertained ingroup V tests.

(C) These will make the solution highly alkaline due to hydrolysis and will prevent the precipitation

of group IV metal ions.

(D) They will precipitate out Mg2+

ion of group V (if present) along with group IV metal carbonates.

7. In the reaction sequence?

CH H2O/ H2SO4

A is

O

(A (BOSO3H

CH3

Hg2A

CH3CHO

)

CH3CH3

(C)CH3

CH2(D) None ofthese




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P

A

8.Br

H

HOH

CH3

(Optically active) Q

The correct statement about the products of the two parallel reactions is:

(A) The product P is optically inactive due to internal compensation while Q is optically inactive dueexternal compensation.(B) The product P is racemic mixture while Q is a meso compound

(C) Both P and Q are achiral molecule and hence optically inactive

(D) Both P and Q are optically active.

SECTION IIMultiple Correct ChoiceType


its answer, out of which ONE OR MORE is/are correct.

9. Which of the following statement(s) is/are correct?(A) The removal of one electron from Na

+(g) ion requires more energy than that from Mg

+(g)

(B) The extent of hydration of Na+

ion is more than that of K+ion.

(C) Ionic radii follows the order for three elements (X, Y, Z) of same period belonging to group 1, 2

and 3 (i.e. IA, IIA and III A) in the periodic table is X+ > Y2+ > Z3+.(D) With the increasing electronegativity (which increases with increasing positive charge), the

basic strength of any elemental oxide decreases.

10. The correct starting material and end product of different disintegration series are

(A)232 Th, 208Pb (B) 235 U, 206Pb (C)

238U, 207Pb (D)

237Np, 209Bi

11. The standard e.m.f of the given cell

Au(s)| Au

3+

(aq) || H3O

+

(aq) | MnO

The e.m.f can be increased by (aq)| Mn

2+

(aq) is 0.09 volts

(A) Lowering the concentration of Au3+

ions (B) Lowering the pH of the solution

(C) Lowering the concentration of Mn2+

ions (D) Increasing the concentration of MnO4 ions




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2 2 2

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A IIT-JEE Website (Paper-I)

12. HOCH C C CH CH OH H2 XLindlar catalyst

H2 SO4 Y

CH3COOOH Z

which of the following statement are correct for above sequence of reaction

HO OH O

(A) Z is

O

(B) Z is

O

(C) Formation of X is example ofsyn-addition(D) Formation of Y is example ofanti-addition.

SECTION III

ComprehensionTypeThis section contains 2 groups of questions. Each group has 3 multiple choice questions based on a

paragraph. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is

correct.

Paragraph for Question Nos. 13 to 15A water is said to be a soft water if it produces sufficient foam with the soap and water that does

not produce foam with soap is known as hard water.

Temporary hardness is due to presence of calcium and magnesium bicarbonate. It is simply

removed by boiling as

Ca HCO3 CaCO3 CO2 H2OTemporary hardness can also be removed by addition of slaked lime, Ca(OH)2

CaHCO3 Ca OH2 2 2CaCO3 2H2 OPermanent hardness is due to presence of sulphate and chlorides of Ca, Mg etc. It is removed as

CaCl2

Na2CO

3 CaCO

3

2NaCl

CaSO4 Na 2CO3 CaCO3 Na 2SO4The degree of hardness is measured in terms of ppm of CaCO3. 100 ppm means 100 gm of CaCO3 is

present in 106

gm of H2O. If any water contain 120 ppm of MgSO4 its hardness in terms of

CaCO3 = 100 ppm.




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IIT-JEE Website (Paper-I) A

13. A sample of drinking water was found to be contaminated with chloroform. The level ofcontamination was 15 ppm. The molality of chloroform in the water sample is

(A) 3.42 10-4 (B) 5.21 10-6 (C) 1.25 10-4 (D) 1.25 10-6

14. The weight of Ca(OH)2 required for 10 litre of water to remove the temporary hardness of 100 ppm

due to Ca(HCO3)2?

(A) 16.6 g (B) 1.66 g (C) 0.74 g (D) 7.4 g

15. RH2 (ion exchange resin) can replace Ca2+

ions in hard wateras

RH2 + Ca2+ RCa + 2H+

If 1 litre of hard water after passing through RH2 has pH = 3, then hardness in ppm of Ca2+ ion is?

(A) 50 (B) 40 (C) 25 (D) 20

Paragraph for Questions Nos. 16 to 18Two completely miscible liquid makes a homogeneous solution of single phase. When such

solution is kept in a closed evacuated vessel, the total pressure exerted by vapour is the sum of

partial pressure of constituents. If solution is ideal it will follow Raoults law and partial pressure of

each component is given by pi =

pure constituent.

pox , xi = mole fraction of constituent,o

= vapour pressure of

Change in thermodynamic function when ideal solution is formed by mixing pure components is

Gmix

niRTln Xi ntotalRTXi ln Xii i

Smix ntotalRXi lnXii

Hmix

ntotal

RTXi lnXi ntotalRXi lnXi = ai i

Umix = 0As both the components are making ideal solution Raoults law is applicable over entire range of

solution and partial pressure exerted by vapours can be calculated and also the composition of

vapours can be determined by Daltons Law.

16. Two liquids A and B makes an ideal solution at T K. When the total vapour pressure above the solution

is 600 torr, XA in vapour phase is 0.35. Calculate po &po . Given : XA in liquid is 0.70.




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(A) 800 torr, 300 torr (B) 300 torr, 1300 torr (C) 1300 torr, 300 torr (D) 300 torr, 800 torr

17. One mole of pure nC6H14 and two moles of nC7H16 are mixed at 27oC to form an ideal binary

solution. Gmix

&Smixare

(A)2065 J. and 6.88 J K1

(B) 1585.38 J & 5.28 J K1

(C)1585 J & 5.28 J K1

(D) 2065 J & 6.88 J K1

18. A and B makes ideal solution. At what mole fraction of A and B, Gibbs free energy of mixing is

minimum(A) XA = XB = 0.5 (B) XA = XB = 1 (C) XA = XB = 0.75 (D) XA = XB = 0.66

SECTION IVMatrix-MatchType

This section contains 2 questions. Each question contains statements

given in two columns, which have to be matched. The statements in

Column I are labelled A, B, C and D, while the statements in Column II

are labelled p, q, r, s and t. Any given statement in Column I can have

correct matching with ONE OR MORE statement(s) in Column II. The

appropriate bubbles corresponding to the answers to these questions

have to be darkened as illustrated in the following example: If thecorrect matches are A p, s and t; B q and r; C p and q; and D s

and t; then the correct darkening of bubbles will look like the following.

19. Match the following

Column I ColumnII

Molecular weight

(A) When Bi2S3 converted in Bi+5 and S. (p)

(B) When CrI3 converted in Cr O2 and IO. (q)

Eq. wt.

Eq. wt.

27

Molecular weight2 7 4

11

When NH4SCN converted in SO2, CO2 Molecular weight

(C)

and NO.

4 3(r) Eq. wt.

10

Molecular weight(D) When FeS2 converted in Fe2O3 and SO2. (s) Eq. wt.

24




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1 2

CH OH


20. Match the questions in Column I with their answers in ColumnII

Column I Column II

(A) Thermal decomposition of a compound is of first order. If 50%of a sample of the compound is decomposed in 120 minute

show long will it take for 90% of the compound to decompose

inminutes

(p) 363.5

(B) Two organic liquids A and B have vapourpressure po &po

at

(q) 2736

80oC in their pure states. A mixture of the two boils at 80

oC

and shows ideal behaviour. It has mole fraction of A = 0.16. Ifo o o

p2 p1 = 472 mm; thanp1 will be(C) What mass of sugar (Mo = 342) must be dissolved in 4.0 Kg of

H2O to yield a solution that will freeze at 3.72C (Take kf=

1.86/m)

(D) At 45C the vapour pressures in torr, of methyl alcoholethylalcohol solutions is represented by the equation. P = 119 XA +

135; where XA is molefraction of methyl alcohol in solution

(r) 254

(s) 399

phase, then the value of the value ofpo is3




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8 4

4 8

8 8

2 2 2

2 2


MATHEMATICS

SECTION ISingle Correct ChoiceType



21. Let f(x) = min n (tan x), n(cot x), which of the following statement is incorrect

(A) f(x) is continuous for x

0,

2

(B) Lagranges mean value theorem is applicable on f(x) for x

,

(C) Rolles theorem is not applicable on f(x) for x

,3

(D) Rolles theorem is applicable on f(x) for x

,3

22. F : R R, f(x) = sin x + x, then the value of (f1(x))dx is equal to

0

(A)

22

(B)

22

(C) 2 (D) cant be evaluated

2n

! n

!

23. If Cn stands for

nCn, then the sum of the series ( C 2C

2 3C2 .. + (1)n (x + 1) C2 )

is equal to

(A) 0 (B) (1)n (n 2) (C)

n!

(1)n n

0 1 2 n

(D) None ofthese

24. If | z 4z1

| 2 , then the greatest value of | z | is(A) 2 (B) 3 (C) 5 (D) 5 1




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IIT-JEE Website(Paper-I)

(z 1)25. If the number

(z 1)is purely imaginary, then

A

(A) |z| = 1 (B) |z| < 1 (C) |z| > 1 (D) |z| > 2

26. If f(x) = 2x + |x|, g(x) =1

(2x |x|), h(x) = f(g(x)) and3

1

tan1 h(h(h(h.....h(h(x))))) k(x) then k(x)dxn times 0

is equal to

(A) ln 2

(B)

ln 2 1

(C) ln 2 (D) ln 2

2 4 2

2

4

27. If x, y, z are positive real numbers such that x

2+ y

2+ z

2= 27, then x

3+ y

3+ z

3has

(A) minimum value 81 (B) maximum value 81 (C) minimum value 27(D) maximum value 27

28. In a ABC,sin(A B)

sin(B C)

0 , then the triangle issin C sin A

(A) acute angled (B) obtuse angled

(C) right angled isosceles (D) either isosceles or right angled

SECTION

IIMultiple Correct ChoiceType



29. f(x) is a real valued function, satisfying f(x + y) + f(x y) = 2f(x).f(y) , x, yR. Then

(A) f(x) is an even function (B) f(x) is even if f(0) = 1 (C) f(x) is odd if f(0) = 0(D) f(x) is even if f(0) = 0

30. Values of the positive integern for which an 1 divides 1a a2 .....a255 are

(A) 125, 75 (B) 30, 15 (C) 128, 16, 32 (D) 64, 8, 4, 2, 1

31. 10 straight lines are drawn in the plane such that no two lines are parallel and no three lines are

concurrent. The number of parts into which these lines divide the plane, is10

(A) 56 (B) 46 (C) 1nn1

(D) None ofthese




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32. If a, b , c are non coplanar unit vectors, also b, c

thenare non collinear such that 2a (b c) = bc

(A) angle between b and c is 30o (B) angle between a and b is 120

o

(C) b is perpendicular to c (D) angle between a and c is 60o

SECTION IIIComprehensionType

This section contains 2 groups of questions. Each group has 3 multiple choice questions based on aparagraph. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is

correct.

Paragraph for Question Nos. 33 to 35Let C1 : x

2 + y2 = r2 is a fixed circle and C2 is a circle from which two perpendicular tangents are

drawn from the circumference of any point on the circle C 2 on C1. A third circle C3 passes through

the centre of C1 and intersects C2 at P and Q and C1 at A and B such that the line PQ is a tangent

to C1 at R.

33. Locus of the centre of variable circle C3 is

(A) C1 (B) C2 (C) C3 (D) none ofthese

34. Ratio AB equalsPQ

(A) 3 (B) 1/ 3 (C) 2/ 3 (D) 3 /2

35.Area ( OARB)

Area ( APQB)equals where (O : origin)

(A) 4 3 + 6 (B) 4 3 6 (C) 2 3 3 (D) 2 3 3

Paragraph for Question Nos. 36 to 38A family group consisting of two men, three women and four children have front-row seats for abroad way show, where they will all sit next to one another in seats 101 through 109. The decision

as to who sits in which seats must confirm to the following two conditions:(i) The four children must sit next to one another in four consecutive seats.

(ii) The two men must sit next to each other.




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40. Match the following Column I with Column II.

Column I Column II(A) No term of a G.P. can be zero (p) 4(B) For non-zero terms in series, AM GM HM

always(q) True

(C) Maximum number of normals drawn from a point tothe hyperbola

(r) 3

(D) Area of the triangle formed by three points on theparabola = n the area of the formed by thetangents at these points then n = ?

(s) false

(t) 2




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PHYSICS

SECTION ISingle Correct ChoiceType



41. Twelve persons are initially at the twelve corners of a regular polygon of twelve sides of side a.

Each person now moves with uniform speed V in such a manner that 1 is always directed towards

2, 2 towards 3, 3 towards 4 and so on. The distance travelled by each person before they meet is

(A)2a

2 3(B)

2a

2 3

2a(C)

3

a(D)

2 342. For the situation shown in the figure, the block is stationary w.r.t inclined fixed in

an elevator. The elevator is having an acceleration of 5 a0 whose

components are shown in the figure. The surface is rough and coefficient of

static friction between the incline and block is s. Determine the magnitude ofg

force exerted by incline on the block. (take a0 ,2 = 37, s = 0.6)

(A)mg10

13mg

2

(B)3mg

4125

(C)9mg

25(D)

43. The two ends of a uniformly tapered rod are maintained attemperatures 100 C and 0 C respectively. Under steady state, thetemperature of the sectionAA exactly at the mid point

(A) is 50 C (B) is more than 50 C

(C) is less than 50 C (D) none ofthese

A

A100 C

0 C

44. A sonometer wire has a length 114 cm between two fixed ends. Where should two bridges be

placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio

1 : 3 : 4.




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mg mg mg mg


(A) l1 = 72 cm, l2 = 24 cm, l3 = 18 cm (B) l1 = 60 cm, l2 = 40 cm, l3 = 14 cm

(C) l1 = 52 cm, l2 = 30 cm, l3 = 32 cm (D) l1 = 65 cm, l2 = 30 cm, l3 = 19 cm

45. There is a horizontal cylindrical uniform but time varying

dB Rmagnetic field increasing at a constant rate

dtas shown. A q

Ccharged particle having charge q and mass m is kept in Kequilibrium,atthetopofaspringofspringconstantKinsucha

way that it is on the horizontal line passing through the center

of the magnetic field as shown in figure. The compression in

the spring will be

(A) 1

qR2 dB

(B) 1

qR2

dB

(C) 1 2qR2 dB

(D)1

qR2

dB.

K 2 dt K dt K dt K 2 dt 46. An inductance L, a capacitance C and a resistance R may be connected to an AC source of

angular frequency , in three different combinations of RC, RL and LC in series. Assume that

L 1

. The power drawn by the three combinations are P , P , P respectively. then,

C(A) P

1 P

2P

3 (B) P

1 P

2P

3

1 2 3

(C) P1 P

2P

3 (D) P1 P2 P3

47. An isoscale glass prism stands with its (horizontal) base in water

as shown in the figure. An incident ray of light, above and parallel to

the liquid surface and perpendicular to the prisms axis, is internally

reflected at the glassliquid interface and subsequently reemerges

into the air. Refractive index of glass is g and liquid is , thenwhich relation holds good

(A)2 2 2 2

Liquid

g cos

(C) 2 2 cos(g 1 2) (B) g cos

(D) 2 2 cos2 (2 1 2 )g g g 48. A charged capacitor of capacity c is discharged through a resistance R. A radioactive sample decays

with an average life . The value of R for which the ratio of electrostatic field energy stored in the

capacitor to the activity of the radioactive sample remains constant is

(A) Rc

(B) R

2c(C) R

2c

(D) R3c




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h

r


SECTION IIMultiple Correct ChoiceType

A



49. In the figure, a man of true mass M is standing on a weighing m

machine placed in a cabin. The cabin is joined by a string with abody of mass m. Assuming no friction, and negligible mass of cabin

and weighing machine, the measured mass of man is (normal force

between the man and the machine is proportional to the mass)

(A) measured mass of man isMm

(M m)(B) acceleration of man is

mg

(M m)

(C) acceleration of man isMg

(M m)(D) measured mass of man is M

R50. Consider a capillary immersed in a liquid having surface tension S

and angle of contact . Now A

(A) Pressure at point D = pressure at point E = pressure at point AB

(B) Pressure at point D is greater than pressure at point A C

(C) Pressure at point D is greater than pressure at point B

(D) Pressure at point A = pressure at point BE D

51. Three very large plates are given charges as shown in the figure. If thecross-sectional area of each plate is the same, then the final charge

distribution on the surface of the plates a, b, c, d, e, f is

Q 5Q 10Q

(A) 7Q on surface e and 3Q on surface f

(B)2Q on surface b and 3Q on surface a

(C)7Q on surface d and 2Q on surface c

(D) the magnitude of charges at all surfaces b, c, d, e is equal

a b c d e f

A B C




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352. A point object is placed at 30 cm from a convex glass lens g of focal length 20 cm. The

final image of object will be formed at infinity if

(A) another concave lens of focal length 60 cm is placed in contact with the previous lens(B) another convex lens of focal length 60 cm is placed at a distance of 30 cm from the first lens.

(C) the whole system is immersed in a liquid of refractive index 4/3

(D) the whole system is immersed in a liquid of refractive index 9/8.

SECTION

IIIComprehensionType

This section contains 2 groups of questions. Each group has 3 multiple choice questions based on a

paragraph. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is

correct.

Paragraph for Question Nos. 53 to 55AB is horizontal diameter of a ball of mass m = 0.4 kg and radius R = 0.2 m.At time t = 0, a sharp impulse is applied at an angle of 45 with horizontal asshown in figure, so that the ball immediately starts to move with velocity v0 =

20 m/s. If the coefficient of kinetic friction between the floor and the ball is m =0.2 (take g = 10 m/s2, Neglect the frictional impulse at t = 0)

45

AB

53. Initial angular velocity ofball(A) 250 rad/sec Anticlockwise (B) 4000 rad/sec Clockwise(C) 125 rad/sec Anticlockwise (D) 1600 rad/sec Clockwise

54. The time taken by ball to achieve pure rolling

(A) 5.2 sec (B) 10 sec (C) 11.9 sec (D) 12.8 sec

55. Work done by kinetic friction to achieve pure rolling

(A)70 J (B)140 J (C) 280 J (D)560 J




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Paragraph for Question Nos. 56 to 58L = 1 0 m H

A

5V

We know that the amplitude of oscillating system becomesmaximum, when the applied frequency is equal to the intrinsic

frequency of system. And this concept can be applied even in

electrical a.c. circuits containing L, C and R. It is being used in

2 0 V 8 V

radio circuits for tuning the different radio-stations. ~V = V0 cos t

Such that when the frequency of broad-casting station becomes equal to frequency of radio circuit; then

the impedance (equivalent resistance) of circuit becomes minimum and maximum current flows in the

circuit with the result the radio station is tuned. Its impedance is given by2

Z R2 L

1 and I

V0

C 0 Z

Now in the given circuit as shown ; at a certain moment of the values of voltages and current are given :

56. The value of applied peak voltage is

(A) 33 V (B) 17 V (C) 13 V (D) 13 2 V

57. The current in the circuit is(A) in phase with applied voltage (B) ahead in phase with applied voltage(C) lagging in phase with applied voltage (D) having variable phase with applied voltage

58. When power loss through resistor is 50 watt, then the angular frequency of applied a.c. voltage is(A) 1600 rad/sec (B) 4000 rad/sec (C) 7200 rad/sec (D) 6000 rad/sec

SECTION IVMatrix-MatchType

This section contains 2 questions. Each question contains statements

given in two columns, which have to be matched. The statements in

Column I are labelled A, B, C and D, while the statements in Column IIare labelled p, q, r, s and t. Any given statement in Column I can have

correct matching with ONE OR MORE statement(s) in Column II. The

appropriate bubbles corresponding to the answers to these questionshave to be darkened as illustrated in the following example: If the

correct matches are A p, s and t; B q and r; C p and q; and D s

and t; then the correct darkening of bubbles will look like the following.




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59. The system shown below is in equilibrium. Match the following :

Column I ColumnII

(A) Just after the spring 2 is

cut the block D(B) Just after the spring 2 is

cut the block C

(C) Just after the spring 2 is

(D) Just after the string

cut, the block D

(p) Accelerates up

(q) Accelerates down

(r) Momentarily rest

(s) Moves up

Spring 1

B

A

C

D

Spring 2

E

60. Charge Q is distributed on two identical capacitors in parallel. Separation of the plates in eachcapacitor is d0. If the first plate of the capacitor C1 and the second plate of the capacitor C2 start

moving to the left with constant speed v, then match the options in Column I with those in Column II

Column I Column II

(A)Charge on capacitor C1 as a function

oftime(p) Reduces z

(B)Charge on capacitor C2 as a function

oftime(q)

Q(d0

vt)

2d0

(C) Current in the circuit (r)Q(d

0 vt)

2d0

(D) Energy of the system (s)Q

V

2d0




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Answers

(chemistry)

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

10. (a, d) 11. (a, b, c, d) 12. (b, c) 13. (c) 14. (c) 15. (d) 16. (b)

17. (a) 18. (a) 19. (a-r; b-p; c-s; d-q) 20. (a-s; b-p; c-q; d-r)

(Mathematics)

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

30. (c, d) 31. (a, c) 32. (b, d) 33. (a) 34. (d) 35. (b) 36. (b)

37. (b) 38. (c) 39. (A-p; B-q; C-r; D-s) 40. (A-q; B-s; C-p; D-t)

(Physics)

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

50. (a, c) 51. (a, b, c) 52. (a, d) 53. (a) 54. (b) 55. (c) 56. (d)

57. (c) 58. (b) 59. (A-p; B-p; C-r; D-r) 60. (A-r, p; B-q; C-s; D-p)




Iit Jee 2010 Part 1

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Transcript of Iit Jee 2010 Part 1