HA Code-A1
20/02/2014
MM : 240
J EE (Adv (Advanc anced) ed) 2014 2014
Tim e : 3 Hr. Hr.
Topics co vered vered : Chemistry
: Some Basic Concepts of Chemistry, Structure of Atom, Classification of Elements and Periodicity in Properties, Chemical Bonding and Molecular Structure
Mathematics : Elementary Trigonometric Functions, Transformation Formulae, Trigonometric Equations, Properties of Triangle, Sets, Relations and Functions (XI class syllabus) Physics
: Mathematical Tools (Graphs and Vectors), Units and Measurement, Kinematics
Instructions :
(i) (i)
The questi question on pape paperr cons consist istss of of 3 part partss ( Chemistry , Mathematics and Physics). Each part has 6 sections .
(ii)
Section Section I contains 6 multiple choice questions which have only one correct answer. Each question carries +3 marks each for correct answer and –1 mar k for each wrong answer.
(iii) Sectio Sectio n II contains 4 multiple choice questions which have one or more answers are correct. Each question carries +4 marks each for correct answer. There are no negative marks in this section. (iv)
Section III contains 2 questions. Each question contains STATEMENT-1 (Assertion) and STATEMENT-2
(Reason). (A) Statement-1 Statement-1 is True, True, Statement-2 Statement-2 is True; True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 Statement-1 is True, True, Statement-2 Statement-2 is True; True; Statement-2 Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 Statement-1 is True, True, Statement-2 Statement-2 is False (D) Statement-1 Statement-1 is False, False, Statement-2 Statement-2 is True True mar k for each wrong answer. Each question carries +3 marks each for correct answer and –1 mark
(v)
Section Section IV: This section contains one paragraph. Based upon this paragraph, 3 multiple choice questions have to be answered. Each question has only one correct answer and carries +4 marks for correct answer and –1 mark for wrong answer.
(vi)
col umn-I matches m atches with one or more than one Section V contains 2 questions. For each question, one choice of column-I choice of column-II. colum n-II. For each question, you will be awarded 2 marks for each each ro w in which you have darkened the bubble(s) corresponding corresponding to the correct answer. answer. Thus, each question in this section carries a max imum of 8 marks. There are no negative negative marks in this section.
Section VI: This section contains 3 questions. The answers to each of the questions is a single digit integer, (vii) Section ranging from 0 to 9 without being given any option. Each question has only one correct answer and carries +4 marks for correct answer. There are no negative marks in this section.
(viii) (viii) Rough work work must not be done on the answer sheet and do do not use white-fluid or any other rubbing material on Answer Sheet.
PART - I : CHEMISTRY SECTION - I Single Correct Answer Type
This section contains 6 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. 1.
2.
3.
4.
5.
6.
When 100 ml of 0.1 M AgNO 3 is treated with 0.166 gm of KI, how much of AgI will be precipitated? (A) 1.25 g
(B) 0.578 g
(C) 0.235 g
(D) 6.25 g
If velocity of electron moving in 2nd orbit of Bohr in He + is x, find the velocity of electron moving in 3 rd orbit of Bohr in Li 2+ (A) x
(B) x/2
(C) 2x
(D)
2x 3
In which of the following case bond strength has been increased? (A) N2 N2
(B) O2 O2
(C) O2 O 2
(D) CO CO
Which is not true about ice? (A) It has a cage like structure
(B) It has less density than water
(C) Each O atom is surrounded by 4 H-atoms
(D) Each O atom has 4-bonds around it
What is the bond order and magnetic behaviour of O 2 – ? (A) 1.5 and paramagnetic
(B) 1.5 and diamagnetic
(C) 2.5 and paramagnetic
(D) 2 and paramagnetic
What is the separation energy for He + when the electron is present in its 1st excited state? (A) 13.6 4 eV
(B) 13.6 eV
(C) 3.4 eV
(D) 1.5 eV SECTION - II Multip le Correct Answer Type
This section contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONE OR MORE is/are correct. 7.
8.
9.
Atomic number of an element is equal to (A) Atomic weight divided by two
(B) Electrical charge of the nucleus
(C) Number of protons in the atom
(D) Weight of the nucleus
Magnitude of K.E. in an orbit is equal to (A) Half of the potential energy
(B) The total energy in the orbit
(C) Twice of the potential energy
(D) Half of the total energy
Boric acid (H3BO3) is (A) Tribasic
(B) Dibasic
(C) Monobasic
(D) Aprotic
10. The pairs having dissimilar geometry is/are (A) BF3, NH3
(B) H2O, C2H2
(C) SO2, CO2
(D) NH3, PH3
SECTION - III Reasoni ng Type
The section contains 2 reasoning type questions. Each question has 4 choices (A), (B ), (C) and (D) for its answer, out of which ONLY ONE is correct. 11. STATEMENT-1 : On cooling the brown colour of NO 2 disappears. and
STATEMENT-2 : On cooling NO 2, undergoes dimerisation resulting in the pairing of odd electrons of NO 2. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True 12. STATEMENT-1 : In the following balanced chemical equation xA + yB product n-factor of A is y and of B is x. and
STATEMENT-2 : The molar relation is given as
Ma Va Mb Vb . x y
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True SECTION-IV Paragraph Type
This section contain 1 paragraph. Based upon this paragraph 3 multiple choice questions have to be answered. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. Paragraph fo r Question Nos. 13 to 15
The amount of energy released, when an electron is added to an isolated gaseous atom, to produce a monovalent anion is called electron gain enthalpy. The first Heg is given a negativ e sign as the addition of an electron to a neutral atom is an exothermic process. The addition of electron to A – required energy to overcome the force of repulsion. Thus the second electron affinity is an endothermic process. 13. Which of the following process is endothermic in nature? (A) O e – O2–
(B) Cl e – Cl
(C) S e – S
(D) F e – F
14. Which of the following species has the highest electron affinity? (A) F –
(B) O –
(C) Na+
(D) O
15. The electron affinities of halogens are F = – 332, Cl = – 349, Br = – 324, I = –295 kg mol –1 . The highest value of Cl as compared to that of F is due to (A) Higher atomic radius of F
(B) Smaller electronegativity of F
(C) Weaker electron repulsion in Cl
(D) More v acant p-sub-shell in Cl
SECTION-V Matrix-Match Type
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 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. p
q
r
s
t
A
p
q
r
s
t
B
p
q
r
s
t
C
p
q
r
s
t
D
p
q
r
s
t
16. Match the following Column I
Column II
(A) Fullerene
(p) Lanthanoid
(B) Promethium
(q) Actinide
(C) Lawrencium
(r) Allotrope
(D) CO
(s) Radioactive (t) Neutral oxide
17. Match the following Column I
Column II
Compounds
Structure of compounds
(A) (CH3)3B
(p) Square planar
(B) NH4Cl
(q) Trigonal bipyramidal
(C) [ICl4] –
(r) Tetrahedral
(D) PCl5
(s) Trigonal (t) Square pyramidal SECTION-VI
Integer Answer Type This section contains 3 questions. The answer to each of the questions is a single digit integer, ranging from 0 to 9. The appropriate bubbles below the respective question numbers in the ORS have to be darkened. For example, if the correct answers to question numbers X, Y and Z (say) are 6, 0 and 9, respectively, then the correct darkening of bubbles will look like the following :
X
0
1 2
3
4
5
6
7
8
9
Y
0
1
2
3
4
5 6
7
8
9
Z
0
1
2
3
4
5 6
7
8
9
18. During reduction of KMnO 4 in acidic medium, the change in oxidation state for Mn is 19. The number of H-bonds per molecule of H 2O is 20. How many of the following possess non-zero dipole moment? Cl
Cl
Cl
OH
Cl ,
,
,
Cl
OH
OH
PART - II : MATHEMATICS SECTION - I Single Correct Answer Type
This section contains 6 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. 21. The general solution of the equation 3tan( – 15°) = tan( + 15°) is given by
(A) = n, n Z
(B) n , n Z 4
(D) n , n Z 3
(C) n , n Z 8
22. Let 0, and a = (sin)cosec, b = (sin)sin, c = (cosec)sin, d = (cosec)cosec . Then 2 (A) d > c > a > b
(B) b > a > c > d
(C) d > c > b > a
(D) d > a > b > c
23. The value of cosec 15° – sec15° is (A) 1
(B)
(C) 2 2
(D) 2 2
2
24. The domain of the function f (x) = log2(log1/2(log3(x))) is (A) (1, 3)
(B) [1, 3]
(C) (– , 1) (3, )
(D) (3, ) A
25. The value of (b – c) cot
2
(c a )cot
B
2
(a b)cot
C
2
is equal to
(A) 0
(B) 1
(C) abc
(D) a + b + c
26. STATEMENT-1: If f (x) = 2 lnx and g(x) = lnx2, then f and g are same functions. STATEMENT-2: (1 + tan(262° – )). (1 + tan( – 217°)) = 2. STATEMENT-3: In a triangle ABC, if sin A
11 4 and sin B then angle C is acute angle. 5 12
(A) F T F
(B) T F F
(C) F T T
(D) T F T
SECTION - II Multipl e Correct Answer Type
This section contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONE OR MORE is/are correct. 2 sin x . If the equation has real solution(s), then 3 (A) The number of integral values of is 3
27. Consider the equation sin x
(B) The sum of integral values of is zero
(C) If is 3 , then x 2n , n Z 3
(D) If is 2, then x 2n , n Z 3 28.
a regular polygon on n sides. Let be the distance of its centre from vertex A0, be the length of perpendicular from centre of the polygon to the side A0 A1 and a be the distance between A0 and A1. The area of the polygon is Let A0 A1 A2 …… An –1 be
(A) (C)
n 2
2 na 2
4
2 n
2 (B) n tan
n
(D) n 2 tan
n
sin
n
cot
29. Consider the function f (x) =
1 x 3x 2 x2
2
(A) The domain of f is R – {2}
(B) The domain of f is R – {1, 2}
(C) The range of f is R – {–2, 1}
(D) The range of f is R – {1}
30. Let A = { a, b, c} and B = (p, q). Then (A) The number of elements in cartesian product A B is 6 (B) The number of non-empty subsets of A B is 63 (C) The number relations from A to B is 64 (D) The number of relations from B to A is 64 SECTION - III Reasoni ng Type
The section contains 2 reasoning type questions. Each question has 4 choices (A), (B ), (C) and (D) for its answer, out of which ONLY ONE is correct. 31. STATEMENT-1 : The general solution of the equation
tan 6 x tan 4x 1 is given by x n , n Z . 1 tan 6 x tan 4x 2 8
and
STATEMENT-2 : The general solution of tan x = 1 is given by x = n
4
, n Z.
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True
32. STATEMENT-1 : The fundamental period of the function f ( x ) | sin x | | cos x | is . | sin x | | cos x | and
STATEMENT-2 : If a function f is such that f (x + T) = f (x) x in its domain where T is the least positive value for which the equation is satisfised then it is called periodic function with fundamental periodic T. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True SECTION-IV Paragraph Type
This section contain 1 paragraph. Based upon this paragraph, 3 multiple choice questions have to be answered. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. Paragraph fo r Question Nos. 33 to 35
A circle of radius r is inscribed in a triangle ABC, touching sides BC, CA and AB at P, Q, R respectively. 33. PQR is (A) – 2B (C)
(B) A – C
B
(D)
2 34. The length of the side PQ (A) r cos (C) r sin
C
A 2
(B) 2r cos
2
C
(D) 2r sin
2 35. The area of the triangle PQR is (A) 2r 2sin AsinBsinC A
(C) 2r 2 cos
2
cos
B
2
cos
C
2
C
2
(B) 2r 2cos AcosBcosC C
A
(D) 2r 2 sin
2
2
sin
B
2
sin
C
2
SECTION-V Matrix-Match Type
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 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. p
q
r
s
t
A
p
q
r
s
t
B
p
q
r
s
t
C
p
q
r
s
t
D
p
q
r
s
t
36. Match the following Column I
Column II
7 (p) , 1 11
(A) Let f ( x ) 9 9 9 x 2 . The interval lying in the domain of f , is
2 | x | . The interval 3
(B) Let f ( x) sec 1
(q) (5, 10)
lying in the domain of f is (C) y
x2 . The value of y can be x x3 x2
(r) (–10, – 5)
2
(D) f ( x )
9 x2 The interval lying ( x 1)( x 5)( x 3)
(s) (–1, 1)
in the domain of f is (t) [1, 3] 37. Match the following Column I
Column II
(A) In a triangle A, B C, angle C is double of the
(p)
12
sum of other two angles. If sin( C – 2 B) = sin(C + 2 A) =
1 , then an angle of the 2
triangle ABC can be (B) The value of x satisfying the equation
(q)
4
cosecx + cotx = 2 sin x can be (C) The fundamental period of the function f (x) =
sin2x –
3
sin4x is
(D) The value of x satisfying sin4x +
(r)
cos4x =
(s)
2
sinx cosx is 2 3
(t)
SECTION-VI
Integer Answer Type This section contains 3 questions. The answer to each of the questions is a single digit integer, ranging from 0 to 9. The appropriate bubbles below the respective question numbers in the ORS have to be darkened. For example, if the correct answers to question numbers X, Y and Z (say) are 6, 0 and 9, respectively, then the correct darkening of bubbles will look like the following : X
0
1 2
3
4
5
6
7
8
9
Y
0
1
2
3
4
5 6
7
8
9
Z
0
1
2
3
4
5 6
7
8
9
38. Let the maximum and minimum values of the function f () = 5sin + 3cos 2 be M and m. The value 6 of M + m is____ 39. I n a tr i an gl e AB C , if the side AC is double that of the side AB , then the ratio
B C B C : tan : 2. The value of is____ 2 2
tan
40. Let |sin| + |cos| = |sin|. The number of values of is [ – , ] satisfying the given equation is____
PART - III : PHYSICS SECTION - I Single Correct Answer Type
This section contains 6 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. a in the equation P b
41. The dimensions of
a t2 where P is pressure, x is distance and t is time are bx
(A) [M2LT –3]
(B) [MT –2]
(C) [ML3T –1]
(D) [LT –3]
42. The horizontal range of a projectile is 4 3 times its maximum height. The angle of projection is (A) 30° (B) 45° (C) 60°
(D) 90°
43. Which of the following graph shows decreasing slope? y
(A)
x y
(B)
x y x
(C) y
x
(D)
44. A particle moves in xy plane. The position vector of particle at any time t is r {(2t )iˆ (2t 2 ) jˆ}m . The ratio of change of at time t = 2 seconds (where is the angle which its velocity vector makes with positive x-axis) is
(A)
2 rad/s 17
(B)
1 rad/s 14
(C)
4 rad/s 7
(D)
6 rad/s 5
45. A particle is moving in xy plane such that y
x
2
and vx = 4 – 2t. The displacement versus time graph of the particle
would be s
s
(A)
(B) t
t
s
s
(C)
(D)
t
t
46. A particle is moving in x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows vx = 3 m/s, vy = 4 m/s, ax = 2 m/s2, ay = 1 m/s2. The rate of change of speed at this moment is (A) (C)
(B) 4 m/s2
10 m/s2
(D) 2 m/s2
5 m/s2
SECTION - II Multip le Correct Answer Type
This section contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONE OR MORE is/are correct. 47. A particle is projected with a speed u at an angle ‘ ’ with the horizontal acquires a velocity v when it is at an angle ‘ ’ with the horizontal. Then (A) v (C) v
u
(B) v = ucos
cos u cos
(D) v
cos
48. The motion of a body is given by is at rest at t = 0. Then
dv dt
u cos
cos
6 3v where v is the velocity (in m/s) at time t (in second). The body
(A) The velocity of the body when its acceleration is zero is 2 m/s (B) The initial acceleration of the body is 6 m/s 2 (C) The velocity of body when the acceleration is half the initial value is 1 m/s (D) The body has a uniform acceleration 49. Water is flowing in a river of width 36 m with a speed of 2 m/s. A person in a boat at a point P on the bank of the river wants to cross the river by the shortest path to reach a point Q directly opposite on the other bank. If he can row his boat with a speed of 4 m/s in still water, he rows his boat at an angle of (A) 30° upstream with the line PQ
(B) 30° downstream with the line PQ
(C) tan –1 (0.5) upstream with the line PQ
(D) tan –1(2) downstream with the line PQ
50. If R is the range of a projectile on a horizontal plane and h its maximum height for a given angle of projection, the maximum horizontal range with the same velocity of projection is (A) 2 h
(C) 2R
(B) h2
8R
R2
8h
(D) 2h
R2
8h
SECTION - III Reasoni ng Type
This section contains 2 reasoning type questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. 51. STATEMENT-1 : In a uniform circular motion, the angle between acceleration vector and velocity vector is always
2
and
STATEMENT-2 : In uniform circular motion, speed is constant. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True 52. The following figure shows path of two projectiles 1
2 R
2R
STATEMENT-1 : Both projectiles have same time of flight. and
STATEMENT-2 : The second projectile has speed double that of first projectile. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True SECTION-IV Paragraph Type
This section contain 1 paragraph. Based upon this paragraph, 3 multiple choice questions have to be answered. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. Paragraph fo r Question Nos. 53 to 55
The vertical displacement y of a projectile varies with the horizontal displacement x as y
ax bx 2 where a and b are constants
53. The trajectory of projectile is a (A) Straight line (C) Parabola
(B) Circle (D) Hyperbola
54. The horizontal range of the projectile is (A) a
(B) b a b
(C)
(D)
a b
55. The maximum height attained by the projectile is (A)
(C)
a b a
2b
(B)
(D)
2a b
a2
4b
.
SECTION-V Matrix-Match Type
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 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. p
q
r
s
t
A
p
q
r
s
t
B
p
q
r
s
t
C
p
q
r
s
t
D
p
q
r
s
t
56. A ball is projected from ground. Take x-axis along horizontal and y-axis along verticle such that motion takes place in x-y plane. Match the column Column I
Column II
(A)
(p) vy versus time graph t
(B)
(q) x versus time graph t
(C)
(r) y versus time graph t
(D)
(s) Speed versus time graph t
(t) Kinetic energy versus time graph
57. A particle is moving along x-axis under a force such that its position-time graph is as shown x
4 3
5
6 t
2 1
Column I
Column II
(A) Particle is moving along positive x-direction with increasing speed (B) Particle is moving along positive x-direction
(p) Between 5 and 6 (q) Between 4 and 5
with decreasing speed (C) Particle moves in negative x-direction with
(r) Between 1 and 2
increasing speed (D) Particle moves in negative x-direction with
(s) Between 2 and 3
decreasing speed (t) Between 3 and 4 SECTION-VI
Integer Answer Type This section contains 3 questions. The answer to each of the questions is a single digit integer, ranging from 0 to 9. The appropriate bubbles below the respective question numbers in the ORS have to be darkened. For example, if the correct answers to question numbers X, Y and Z (say) are 6, 0 and 9, respectively, then the correct darkening of bubbles will look like the following :
X
0
1 2
3
4
5
6
7
8
9
Y
0
1
2
3
4
5 6
7
8
9
Z
0
1
2
3
4
5 6
7
8
9
58. A projectile attains maximum height of 1 m and 4 m for same range R without changing the speed of projection. Find R in metre. 59. Let a1 and a2 are two non-collinear unit vectors such that | a1 a2 | 3, then the value of (a1 a2 ) (2a1 a2 )
is
1 x
. Find x.
60. Heat is evolved in a resistance on passing current upto definite time. Measurements for current, time and resistances suffer error of 1%, 2%, 2%. The maximum % error in heat evolved will be x%. Find x.
ANSWERS
PS Code-A
CHEMISTRY
27.
(A, B, C)
54.
(D)
1.
(C)
28.
(A, B, C)
55.
(C)
2.
(A)
29.
(B, C)
56.
A (p)
3.
(D)
30.
(A, B, C, D)
B (r)
4.
(D)
31.
(D)
C (q)
5.
(A)
32.
(A)
D (s, t)
6.
(B)
33.
(C)
7.
(B, C)
34.
(B)
B (s, t)
8.
(A, B)
35.
(C)
C (q)
9.
(C, D)
36.
A (p, s, t)
D (p)
10.
(A, B, C)
B (q, r)
58.
(8)
11.
(A)
C (p)
59.
(2)
12.
(B)
D (p, s)
60.
(6)
13.
(A)
14.
(D)
B (r)
15.
(C)
C (s)
16.
A
37.
(r)
A (p, q, t)
D (q)
B (p, s)
38.
(4)
C (q, s)
39.
(6)
D (t)
40.
(2)
A (s)
PHYSICS
B (r)
41.
(B)
C (p)
42.
(A)
D (q)
43.
(A)
18.
(5)
44.
(A)
19.
(4)
45.
(C)
20.
(3)
46.
(D)
MATHEMATICS
47.
(D)
21.
(B)
48.
(A, B, C)
22.
(C)
49.
(A)
23.
(D)
50.
(D)
24.
(A)
51.
(C)
25.
(A)
52.
(C)
26.
(C)
53.
(C)
17.
57.
A (r)
