PHYSICS, CHEMISTRY & MATHEMATICS

PHYSICS, CHEMISTRY & MATHEMATICS

SET - A Time Allotted: 3 Hours

Maximum Marks: 312

Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.

You are not allowed to leave the Examination Hall before the end of the test.

INSTRUCTIONS

Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheet before attempting the paper. Wrong CODE or no CODE will give wrong results.

A. General Instructions

1. Attempt ALL the questions. Answers have to be marked on the OMR sheets.

2. This question paper contains Three Parts.

3. Part-I is Physics, Part-II is Chemistry and Part-III is Mathematics.

4. Each part is further divided into three sections: Section-A, Section-B & Section-C

5. Rough spaces are provided for rough work inside the question paper. No additional sheets will be provided for rough work.

6. Blank Papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in any form, are not allowed.

B. Filling of OMR Sheet 1. Ensure matching of OMR sheet with the Question paper before you start marking your answers on

OMR sheet. 2. On the OMR sheet, darken the appropriate bubble with HB pencil for each character of your Enrolment

No. and write in ink your Name, Test Centre and other details at the designated places. 3. OMR sheet contains alphabets, numerals & special characters for marking answers.

C. Marking Scheme For All Three Parts.

(i) Section-A (01 – 08) contains 8 multiple choice questions which have only one correct answer. Each question carries +4 marks for correct answer and – 2 mark for wrong answer.

Section-A (09 – 16) contains 4 paragraphs. Based upon paragraph, 2 multiple choice questions have to be answered. Each question has only one correct answer and carries +3 marks for correct answer and – 1 mark for wrong answer.

(ii) Section-B (01 – 04) contains 4 Matrix Match Type questions containing statements given in 2 columns. Statements in the first column have to be matched with statements in the second column. Each question carries +12 marks for all correct answer. For each correct row +3 marks will be awarded. There is no negative marking. There may be one or more than one correct choice. No marks will be given for any wrong match in any question.

Name of the Candidate :____________________________________________

Batch :____________________ Date of Examination :___________________

Enrolment Number :_______________________________________________

BA

TC

HE

S –

CP

A1

81

9

FIITJEE

PHASE-2

CODE:

PAPER - 2

JEE ADV PAPER – 2 – PCM-2

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Useful Data Chemistry:

Gas Constant R = 8.314 J K1 mol

1

= 0.0821 Lit atm K1 mol

1

= 1.987 2 Cal K1 mol

1

Avogadro's Number Na = 6.023 1023

Planck’s Constant h = 6.626 10–34

Js

= 6.25 x 10-27

erg.s

1 Faraday = 96500 Coulomb

1 calorie = 4.2 Joule

1 amu = 1.66 x 10-27

kg

1 eV = 1.6 x 10-19

J

Atomic No : H=1, D=1, Li=3, Na=11, K=19, Rb=37, Cs=55, F=9, Ca=20, He=2, O=8,

Au=79.

Atomic Masses: He=4, Mg=24, C=12, O=16, N=14, P=31, Br=80, Cu=63.5, Fe=56, Mn=55,

Pb=207,

Au=197, Ag=108, F=19, H=2, Cl=35.5, Sn=118.6

Useful Data Physics:

Acceleration due to gravity g = 10 2m/ s

One Year CRP (PH-2) ADV P-2-3

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PART – A

(Single Correct Choice Type) This section contains 8 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

1. Equivalent capacitance across AB is

(a) 20

F3 (b) 9 F (c) 48 F (d) None

2. A 6 F capacitor is separately charged to 160 C and then

put in a circukt as shown in the figure and then switch S is closed. Point M is earthed. Current through the resistance X at t = 16 microsecond is

(a) 10

A3 e

(b) 10

Ae

(c) 20

A3 e

(d) None

3. A generator G charges the battery. When current is 10A, terminal

voltage of the generator is 120 volt. For 10A current, value of variable resistor R should be (Battery voltage = 110 V) (a) 0.1 (b) 0.5 (c) 1 (d) 5

4. A galvanometer coil has resistance 90 and full scale deflection current is 10 mA. A 910 resistance

is connected in series with the galvanometer to convert it into a voltmeter. If the least current of the voltmeter is 0.1 A, the number of divisions on the scale is

(a) 90 (b) 91 (c) 100 (d) None

5. Current density in a cylindrical wire of radius R is given as 0

0

x RJ 1 for 0 x

R 2J

x RJ for x R

R 2

The current flowing in the wire is

(a) 2

0

7J R

24 (b)

2

0J R

6

(c) 2

0

7J R

12 (d) 2

0

5J R

12

Space For Rough Work

G

S

R

6

F

S

C

N 2

1

1

2

2 4

M

X

F 17

F

A B

F

F F F

F 10

5 13 1

6 1


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6. A curved rectangular bar forms a resistor. The curved sides are concentric circular arcs. If is the resistivity

of the material of bar, 0 is the length of the inner arc of

radius r0, 0r b is the radius of the outer arc, and ‘a’ is

the width of the bar. Resistance of the bar across its rectangular ends is

(a) 0

0ar

(b) 0

0

0

bar n 1

r

(c) 0

0

0

2

bar n 1

r

(d) None

r0

(r 0 +

b)

a

7. A uniform sphere of radius R is placed on a rough horizontal surface

and given a linear velocity V0 and angular velocity 0 as shown in

the figure. For the sphere to come to rest after moving some distance to the right, we have

(a) 0 0V R (b)

0 05V 2 R

(c) 0 02 V 5 R (d)

0 02V R

8. The radius of gyration of a solid hemisphere of mass m and radius R

about an axis AB parallel to diameter at a distance 3 R

4 from the

diameter is

(a) 3 R

10 (b)

5 R

4 (c)

5 R

8 (d)

2

5 R

(Paragraph Type)

This section contains 4 paragraphs. Based upon the paragraph 3 multiple choice questions have to be answered. Each of these questions has four choices A). B), C), D) out of WHICH ONLY ONE CORRECT.

Comprehension – 1: Four identical rods each of mass M = 6 kg, are welded at their ends to form a square and then welded to a ring of mass m = 4 kg, having radius R =1 m.

The system is allowed to roll down an inclined plane with o30

9. The acceleration of the system will be

(a) g

8 (b)

g

4 (c)

7g

24 (d)

5g

23

10. The minimum value of friction coefficient to prevent slipping is

(a) 5

7 (b)

7

5 3 (c)

5 3

7 (d)

5

12 3


o30

A B

3 R

4

V0

0


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Comprehension – 2: Relation between current and time in the conductor is shown.

11. Total charge flown through the conductor is

(a) 0 0I t

2 (b)

0 0I t (c) 0 0I t

4 (d) 2

0 0I t

12. If the resistance is R, then total heat dissipated is

(a) 2

0 0I R t

2 (b)

2

0 0I R t

4 (c)

2

0 0I R t

3 (d) 2

0 0I R t

Comprehension – 3: Two ideal voltmeters and ammeter are used in this part of a circuit. If the voltmeter connected across 9 resistance reads 4.5 volt, then

13. The current through 12 resistance is

(a) 0.1 A (b) 0.75 A (c) 0.5 A (d) 1.25 2

0 0I R t

14. The reading of the voltmeter connected across 20 resistance (a) 15 V (b) 10 V (c) 5 V (d) 22.5 V


A

V

V

20

15

12

10

2

9

6

3

I0

I

t t0


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Comprehension – 4: We have two electric dipoles. Each dipole consists of two equal and opposite point charges at the end of an insulating rod of length d. The dipoles are placed along the x-axis at a large distance r apart oriented as shown in the figure.

15. The dipole on the left (a) Will feel a force upwards and a torque trying to make it rotate clockwise. (b) Will feel a force upwards and a torque trying to make it rotate counter clockwise (c) Will feel a force upwards and no torque about it’s centre. (d) Will feel a large downwards and a torque trying to make it rotate clockwise. 16. The dipole on the right (a) Will feel a force downwards and a torque trying to make it rotate clockwise. (b) Will feel a force downwards and no torque about its centre. (c) Will feel a force upwards and no torque about its centre.

(d) Will feel no force and a torque trying to make it rotate counter clockwise.

PART - B Matrix-Match Type

This section contains 4 questions. Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in Column I have to be matched with statements (p, q, r, s) in Column II.

1. Match Column I with Column II with consideration the following passage :

Two dipoles of dipole moment ˆpi and ˆ3 pj are placed at origin.

A circle of radius R with centre at origin is drawn. Column II gives coordinates of certain positions on the circle.

Column – I Column – II (A) The coordinates of point on the circle where

potential is maximum. (p) R 3 R

, 2 2

(B) The coordinates of point on the circle where potential is zero.

(q) R 3 R,

2 2

(C) The coordinates of point on the circle where

magnitude of electric field intensity is 3

0

4 p

4 R

(r) 3 R R,

2 2

(D) The coordinates of point on the circle where

magnitude of electric field intensity is 3

0

2 p

4 R

(s) 3 R R,

2 2


Y

R X O ˆpi

ˆ3 pj

d

d


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2. Match Column I with Column II with consideration the following passage : A neutral spherical conductor A has two spherical cavities B and C, respectively. Another point charge q is fixed at a large distance r from the centre of the sphere.

Column – I Column – II (A) Force on qB (p) Zero (B) Force on qC (q) Non-zero (C) Force on q (r) B C

2

0

q q q

4 R

(D) Force on conductor (s) Rightward 3. Match Column I with Column II with consideration the following passage :

The circuit is in steady state.

Column – I Column – II (A) Current in branch EB (p) 10 C

(B) Current in branch CB (q) 0.5 A (C) Current in branch ED (r) 1.5 A (D) Charge on the capacitor (s) 5 C

4. Match Column I with Column II with consideration the following passage :

A sphere (solid), a ring and a disc of same mass and same radius are allowed to roll down three similar, sufficiently rough inclined planes from the same height. Compare the kinetic energy, linear velocity, frictional force offered and time taken to reach the bottom of the incline, considering pure rolling in each case.

Column – I Column – II

(A) Final kinetic energy (p) Sphere > Disc > Ring (B) Final linear velocity (q) Sphere < Disc < Ring (C) Friction force (r) Disc = Ring = Sphere (D) Time taken to reach the bottom (s) Ring > Sphere > Disc


5

10 V

3

5 F 4

8 V

12 V

A B C

D E F

B

C

r

(+q)


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PART – A (Single Correct Choice Type)

This section contains 8 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

1.

CH3 CH2 S CH2 CH2 BrH

2O

Hydrolysisproduct.

The product will be (a)

CH3 CH2 S CH2 CH2 OH

(b) CH3 CH2 S CH2 CH2 OH

(c) CH3 CH2 S CH CH2

(d) Both (a) & (b)

2. Which of the following compound does not react with NaHCO3 solution?

(a) OH

O2N NO2

NO2

(b) 3

MeCO C H (c) CH3 C C H

(d) HCOOH

3. Which of the following compounds when reacts with CH3MgBr (excess) followed by treatment with aq.

NH4Cl will yield t-BuOH? (a)

EtO C

O

OEt

(b)

Cl C

O

Cl

(c)

OO

O

(d) All of these

4. An aromatic compound (A) C7H6Cl2 gives AgCl on boiling with alc. AgNO3 solution yields C7H7OCl on

treatment with NaOH. (A) on oxidation gives a monochloro benzoic acid which affords only one monoderivative on nitration. The compound A is (a)

Cl

Cl

(b)

Cl

Cl

(c) Cl

Cl

(d) Cl

Cl



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5. Which of the following does not contain centre of symmetry? (a)

(b)

(c)

(d)

6. Which of the following statement is not correct? (a) Azulene has higher dipole moment than naphthalene (b) Azulene and naphthalene are isomers (c) All bond lengths are same in naphthalene (d) EAS of azulene occurs in 5 membered ring 7. Which of the following carbide is chemically inert? (a) Al4C3 (b) B4C (c) Be2C (d) CaC2 8. Which of the following statement/(s) is/are correct regarding borazine? (i) It is isoelectronic with benzene and possesses a planar cyclic structure. (ii) It is a colourless liquid (iii) Borazine undergoes EAS reaction faster than benzene (iv) It is slowly hydrolysed to NH3and H3BO3. (a) (i), (ii), (iii) (b) (ii), (iii), (iv) (c) (i), (iii), (iv) (d) (i), (ii), (iv)

(Paragraph Type) This section contains 4 paragraphs. Based upon the paragraph 3 multiple choice questions have to be answered. Each of these questions has four choices A). B), C), D) out of WHICH ONLY ONE CORRECT.

Comprehension – 1:

Paragraph for Question 9 to 10 A compound ‘A’ C10H14O exist in diastereomeric form, liberates a gas on reaction with CH3MgBr. Treatment of A with aqueous HBr gives B (C10H13Br), which exist in enantiomeric forms. B on treatment with alcoholic KOH gives compound C which on oxidative ozonolysis gives a compound D and acetophenone.

ABr

2

/h

(1 eqv)P Q

aq. KOH H+

R

Read the above paragraph and answer the following questions : 9. The compound R is

(a)

Ph CH C CH3

O

CH3

(b)

CH3 C CH CH3

O

Ph (c) Ph C CH CH3

CH3

(d)

C

Ph

CH3

O

C

H

CH3


C C


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10. The compound of B is

(a) Ph CH CH2 CH3

CH2Br

(b)

Ph C CH2 CH3

Br

CH3

(c)

Ph CH CH CH3

CH3

Br

(d)

Ph CH CH2 CH2 Br

CH3


Paragraph for Question 11 to 12 The 1976 Nobel prize for chemistry was awarded to W.N. Lipscomb for his “Studies on boranes” which have illuminated problems of chemical bonding. Boranes thus provide an interesting area of study for principles of chemical bonding and also open a versatile and extensive reaction chemistry. The chemistry of diborane and it’s structure is very important for several reasons. It is a highly toxic gas. Read the above paragraph and answer the following questions : 11. When Diborane is methylated which of the following compound does not form? (a) Me5B2H (b) Me4B2H2 (c) Me3B2H3 (d) Me2B2H4

12. How many B B bonds are present in diborane B2H6? (a) 1 (b) 2 (c) 3 (d) None of these Comprehension – 3:

Paragraph for Question 13 to 14

Read the paragraph carefully and answer the following questions: Alkenes can be oxidized in presence of different reagents to give different products, which also can be synthesized by using per acids. Alkenes on reductive ozonolysis give carbonyl compounds in presence of zinc and acid. On reaction with acidic KMnO4, it also produces corresponding carbonyl compound. Alkynes can also be oxidized in presence of such reagents but the products are different. 13. An open chain hydrocarbon (C7H12), on ozonolysis produces propanone, methanal and 2-oxopropanal.

The hydrocarbon could be

(a)

CH3

CH3

CH2

CH3

(b)

CH3CH3

CH3 CH2 (c) Either of A & B (d) None of the above



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14. A hydrocarbon (C8H16), on oxidation with a hot acidified solution of KMnO4 forms 2-butanone and isobutyric acid. The hydrocarbon is

(a) (CH3)2C=C(CH2CH3)2 (b)

CH3CH3

CH3

CH3

(c)

CH3

C

CH3

CH3CH3

(d)

CH3

CH3

CH3

CH3


Paragraph for Question 15 to 16

Read the paragraph carefully and answer the following questions: When a monosubstituted benzene undergoes an electrophilic substitutions the position taken up by the incoming group and rate of the reaction are determined by the substituent already present on the benzene ring. On this basis various substituents can be divided into three categories. (1) O, P directing and activating (2) m-directing and deactivating (3) O, P-directing and deactivating 15. Identify (A)

CH2 CH3

CH3 OH

Br2/Fe

(A)

(a) CH CH3

CH3 OH

Br

(b) CH2 CH3

CH3 OHBr

(c) CH2 CH3

CH3 OH

Br

(d) CH2 CH3

CH3 OH

Br



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16. CH3

Cl2/hv

excess (A)Br2/Fe

(B)

Identify (B)

(a)

CH3

Cl

Br

(b)

CCl 3

Br

(c)

H2C Cl

Br

(d)

Br

Cl

PART - B

Matrix-Match Type This section contains 4 questions. Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in Column I have to be matched with statements (p, q, r, s) in Column II.

1. Match Column I with Column II :

Column – I Reaction

Column – II Mechanism

(A) CH3

OH85% H

3PO

4

(p) E1

(B)

Br

DMF

3Me CO

(q) SN1

(C)

H

CH3

Br DMSO

3CH S

(r) SN2

(D)

CH3

CH3CH3

I

CH3OH

(s) E2



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2. Match Column I with Column II : Column – I

(Bases) Column – II

(pKa of conjugate acid) (A)

NH

(p) 4.8

(B)

N

N

H

(q) 16.5

(C)

NN

N

H

(r) 10

(D)

NN

NN

H

(s) 14.52


Column – I (Reactions)

Column – II (Intermediate)

(A)

Me CH CH PhHCl

Ph C O O C Ph

O O

(p) Carbanion

(B)

C O

Me

Me

1. Mg / Hg

2. H3O+

(q) Carbocation

(C)

F3C CHCl2EtOH

EtO K+

(r) Radical anion

(D)

Me CH CH MeCHClBrI

Me3CO K+

(s) Carbene



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4. Match Column I with Column II : X

NO2

MeO K+

OMe

NO2 Column – I

(X = Halogen) Column – II

(Relative Reactivity)

(A) I (p) 1 (B) F (q) 312 (C) Cl (r) 0.8 (D) Br (s) 0.6



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PART – A (Single Correct Choice Type)

This section contains 8 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

1. The area of the region(s) enclosed by the curve 2y x and y x is

(a) 1/3 (b) 2/3 (c) 1/6 (d) 1

2. Two mutually perpendicular tangents of the parabola 2y 4ax meet the axis in P1 and P2. If

S is the focus of the parabola then 1 2

1 1

SP SP

l l is equal to

(A) 4

a (B)

2

a (C)

1

a (D)

1

4a

3.

4.

The length of the normal (terminated by the major axis) at a point of the ellipse 2 2

2 2

x y1

a b is

(where r and r1 are the focal distances of the point)

(A) 1

br r

a (B)

1

br r

a (C)

1

brr

a (D) independent of r, r1

5. Locus of the point of intersection of the tangents at the points with eccentric angles and

2

on the hyperbola

2 2

2 2

x y1

a b is :

(A) x = a (B) y = b (C) x = ab (D) y = ab 6. Lacus rectum of the conic satisfying the differential equation, x dy y dx 0 and passing

through the point (2, 8) is :

(A) 4 2 (B) 8 (C) 8 2 (D) 16

7. An ellipse having foci at (3, 3) and 4, 4 passing through the origin has eccentricity equal

to

(A) 3

7 (B)

2

7 (C)

5

7 (D)

3

5

8.

An equation for the line that passes through 10, 1 and is perpendicular to 2x

y 24

is

(A) 4x + y = 39 (B) 2x + y = 19 (C) x + y = 9 (D) x + 2y = 8



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(Paragraph Type)

This section contains 4 paragraphs. Based upon the paragraph 3 multiple choice questions have to be answered. Each of these questions has four choices A). B), C), D) out of WHICH ONLY ONE CORRECT.

Paragraph for Question Nos. 09 to 10

Comprehension – 1 :

Read the passage carefully and answer the following questions.

Let S(x, 0) for x1 > 0 is foci of the Ellipse 2 2x y

E : 19 4 . Suppose a parabola whose vertex is 1V x 5, 0

touches the Ellipse at points A and B in I and IV quadrants respectively. Axis of parabola is x-axis. On the basis of above information, answer the following questions : 9. Equation of normal to the ellipse E at A is

(a) 9x 2 3y 5 2 0 (b) 9x 2 3y 5 2 0

(c) 9x 2 3y 5 2 (d) 9x 2 3y 5

10. Tangent to the ellipse E at A and B meet at C, then area of ABC is

(a) 32 2 (b) 32 2

3 (c) 12 2 (d)

16 2

3




Let 1 2 3L : 4x 3y 13 0, L : 4x 3y 37, L : 3x 4y 24 are three lines in xy plane and

4L : 1 x 1 y 24 is a variable line. P(a, b) is centre of circle which touches lines L1, L2 and L3. On the

basis of above information, answer the following questions :

11. Maximum value of a b is

(a) 68/5 (b) 69/5 (c) 71/5 (d) None of these 12. If L1, L2, L3 and L4 form a quadrilateral, then the valve of for which slope of line L4 takes least positive

integral value is

(a) 4

3 (b) 2 (c)

7

5 (d)

5

4



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Let y f x is the solution of differential equation 2y yx tan dx sec xdy ydx 0

x x

, where f 1

4

.

13. Value of f 3 is

(a) 3 3

(b)

6 3

(c)

3

6

(d)

6

3

14. If 1

g x fx

, then area bounded by g x , x-axis and the lines

1x

3 and x 3 is (in sq. units)

(a) n36

(b) n3

4

(c) n3

3

(d) n3

2




Let L1 be a line 5x 7y 35 which cuts x and y axis at A & B respectively. Variable line L2, which is

perpendicular to L1 cuts x and y axis at C & D respectively. Locus of point of intersection of lines joining AD and BC is the curve S. 15. Area enclosed by curve S is (in sq. units)

(a) 37 (b) 49 (c) 37

2

(d)

49

2

16. Coordinates of a point P, which is farthest from origin, on S is

(a) 5, 7 (b) (5, 7) (c) (7, 5) (d) 7, 5



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PART - B Matrix-Match Type

This section contains 4 questions. Each question contains statements given in two columns which have to be matched. Statements (a, b, c, d) in Column I have to be matched with statements (P, Q, R, S, T) in Column II.


Column I Column II

(A) The x-co-ordinates of points on the axis of the parabola y

2 – 4x – 2y + 5 = 0 from which all the three normals to the parabola are

real, is/are

(p) 4

(B) The x-coordinates of points on the axis of the parabola 4y

2 – 32x + 4y + 65 = 0 from which all the three normals to the parabola

are real, is/are

(q) 5

(C) The x-co-ordinates of points on the axis of the parabola 4y

2 – 16x – 4y + 41 = 0 from which all the three normals to the parabola

are real, is/are

(r) 6

(D) The equation ax2 + 4xy + y

2 + ax + 3y + 2 = 0 represents a parabola if ‘a’

is: (s) 7

2. Consider the hyperbola H: x

2 – y

2 = 9, parabola P: y

2 = 4(x – 5) and a line L: x = 9. Now answer the

following questions.

Column I Column II

(A) If L is the chord of contact of the hyperbola H, then the equation of the corresponding pair of tangents is ax

2 + by

2 – cx + 9 = 0, then the value

of |a b c| =

(p) 12

(B) If R is the point of intersection of the tangents to H at the extremities of the chord L, then equation of the chord of contact of R with respective

to the parabola P is x = , where =

(q) 6

(C) If the chord of contact of R with respect to the parabola P meets the

parabola at T and T, S is the focus of the parabola, then Area of the

triangle STT is equal to (in sq. units)

(r) 9

(D) Focus of the parabola is (,), then + is less than (s) 1



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3. Match Column I with Column II

Column I Column II

(A) If the straight line y = mx m I touches or lies outside the circle x

2 + y

2 – 20y + 90 = 0, then the value of |m| can be

(p) 0

(B) If the straight line 3x – 4y – 5k = 0, k I touches or lies inside the circle, x

2 + y

2 – 4x – 8y – 5 = 0, then the value of |(k +2)| can be

(q) 1

(C) Two circles x2 + y

2 + px + py – 7 = 0 and x

2 + y

2 – 10x + 2py + 1 = 0

will cut orthogonally, if the value of p is (r) 2

(D) The number of common tangents that can be drawn to the circles x

2 + y

2 – 4x – 6y – 3 = 0 and x

2 + y

2 + 2x + 2y + 1 = 0 is

(s) 3

4. Consider the parabola 2y 12x :

Column I Column II

(A) Equation of tangent can be (p) 2x y 6 0

(B) Equation of normal can be (q) 3x y 1 0

(C) Equation of chord of contact w.r.t. any point on the directrix can be (r) x 2y 12 0

(D) Equation of chord which subtends right angle at the vertex can be (s) 2x y 36 0



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CPT2-2 (BATCH – CPA) PAPER - 2

PAPER CODE –

SET - A

ANSWERS

Que. No.

PHYSICS Que. No.

CHEMISTRY Que. No. MATHEMATICS

1 B 1 D 1 B

2 C 2 C 2 C

3 C 3 D 3 C

4 C 4 C 4 C

5 D 5 B 5 B

6 B 6 C 6 C

7 B 7 B 7 C

8 D 8 D 8 D

9 C 9 A 9 C

10 D 10 B 10 B

11 A 11 A 11 C

12 C 12 D 12 C

13 C 13 C 13 C

14 A 14 D 14 D

15 B 15 C 15 C

16 B 16 B 16 D

1 (A) – (p), (B) – (r, s), (C) – (p, q), (D) – (r, s)

1 (A) – (p), (B) – (s), (C) – (r), (D) – (p, q)

1 (A) – (p, q, r, s), (B) – (s), (C) – (q, r, s), (D) – (p)

2 (A) – (p), (B) – (p), (C) – (q, r, s), (D) – (q, r)

2 (A) – (q), (B) – (s), (C) – (r), (D) – (p)

2 (A) – (s), (B) – (r), (C) – (p), (D) – (p, r)

3 (A) – (r), (B) – (q), (C) – (q), (D) – (p)

3 (A) – (q), (B) – (r), (C) – (p), (D) – (s)

3 (A) – (p,q,r,s), (B) – (p,q,r,s), (C) – (r,s), (D) – (s)

4 (A) – (r), (B) – (p), (C) – (q), (D) – (q)

4 (A) – (s), (B) – (q), (C) – (p), (D) – (r)

4 (A) – (q), (B) – (s), (C) – (p), (D) – (r)

PHYSICS, CHEMISTRY & MATHEMATICS

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