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Roll No.:
Centre Code:
TEST No. 5
Test Date:
Test Booklet Code
JEE (Main) 2014
for
A L L
I N D
I A A A
K ASH T E S T
S E R I E
S
PAPER - I
INSTRUCTIONS FOR CANDIDATE1. Readeach question carefully.
2. It is mandatory to use Black Ball point PEN to darken theappropriate circle in the answer sheet.
3. Mark shouldbe dark andshould completely fill thecircle.
4. Rough work must notbe done on theanswer sheet.
5. Do not use white-fluid or any other rubbing material onanswer sheet.
6. Student cannot use log tables and calculators or any other material in the examination hall.
7. Before attempting the question paper, student shouldensure that the test paper contains all pages and no pageis missing.
8. Before handing over the answer sheet to the invigilator,candidate should check that Roll No., Centre Code andDate of Birth havebeen filled and marked correctly.
9. Immediately after the prescribed examination time is over,the answersheetto be returned to theinvigilator.
There are parts in the question paper A, B and Cconsisting of , andhaving 30 questions in each part of equal weightage. Eachquestion is allotted 4 marks for each correctresponse.
three
Physics Chemistry Mathematics
(four)
10.
11. The Test booklet consists of 90 questions. The maximummarks are360.
12. One fourth (¼) marks will be deducted for indicatingincorrect response of each question. No deduction fromthe total score will be made if no response is indicated for anyquestion in theanswer sheet.
13. Patternof the questions areas under:
Section – I : Straight ObjectiveType Questions
Section – II : Assertion– ReasonType Questions
1 9 / 0 1 / 2 0 1 4
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TOPICS OF THE TEST
Test No. 5
Physics Electric Charges and Field, Electrostatics Potential and Capacitance,Current Electricity
Chemistry General Principles & Processes of Isolation of Elements, The d & f - Block
Elements, Coordination Compounds, Qualitative Analysis
Mathematics Sets, Relations & Functions (XI & XII), Limits & Derivatives, Continuity and
Differentiability
Paper I
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PART - A (PHYSICS)
SECTION - IStraight Objective Type Questions
This section contains 25 multiple choice questions
numbered 1 to 25. Each question has 4 choices (1), (2),(3) and (4), out of which ONLY ONE is correct.
Choose the correct answer :
1. Figure shows two concentric shells. Whose radii are
a and b . If outer shell has charge +q , charge oninner shell would be
b
O
a
(1) Zero (2) q
(3)2
2
qb
a (4)
aq
b
2. Maximum rate of heat dissipation in the resistance
R is2 V
12 V
4 V
R
4
4
(1) 2 W (2) 1 W
(3) 4.5 W (4) 0.25 W
TEST - 5 (Paper-1)Time : 3 Hrs. MM : 360
3. The dimensional formula for rate of change of
electrical flux per unit current is(1) [ML3T–4A–2] (2) [ML2T–4A–2]
(3) [ML3T–2A–2] (4) [ML3T–2A–1]
4. Which is the correct representation of the chargeson the surface of a conductor at the bend whencurrent is flowing?
(1)
(2)
(3)
(4)
5. Electric field which is directed along y -axis. Variesalong x-axis as shown in figure. Potential differencebetween x = 1 m to x = 3 m is
100
75
E (N/C)
1 2 3 4x (m)
(1) 250 V (2) 0 V
(3) 375 V (4) 333.5 V
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6. A resistance wire is connected across the voltmeter,
which is in series of an ammeter and a battery.
Choose the correct statement.
(1) Ammeter reading decreases and voltmeter
reading increases
(2) Ammeter reading increases and voltmeter
reading decreases
(3) Readings of both meters will increase
(4) Readings of both meters will decrease
7. A small dipole is directed along Y -axis is centered
at point P (a, 0). There is point charge fixed at origin.Work done in moving dipole from large distance to
point P is W 1 and from P to Q (–a, 0) keeping
same orientation is W 2. Choose the correct
statement.
(1) W 1 > W 2 (2) W 2 > W 1
(3) W 1 = W 2 (4) W 1 > 0, W 2 < 0
8. Two parallel plates A and B are having 12 C and
4 C charges. Their arrangement forms capacitance
of 2 F. It is connected with resistance of 1 at
t = 0. Choose correct statement.
R
B A
(1) Charge on the plate A is 4e –t /2 C, where t is
time in S
(2) Charge on the plate B is –4e –t /2 C, where t is
time in S
(3) Charge on the plate A is 8 + 4e –t /2 C, where t is time in S
(4) Charge on the plate B is 8 + 4e –t /2 C, where t
is time in S
9. A proton is either released at rest or launched withcertain velocity in a uniform electric field. Which ofthe following graph could not represent possiblevariation of kinetic energy with time?
(1)
KE
t (2)
KE
t
(3)
KE
t
(4)
KE
t
10. Eight small spheres of mercury, each with adiameter of 1 mm and a charge of 5 nC unite to forma large sphere. Potential energy stored in the largesphere is
(1) 72 mJ
(2) 7.2 mJ
(3) 0.72 mJ
(4) 0.072 mJ
11. A point charge of 1 nC is placed at 50 cm from thecentre of a thin conducting shell of 20 cm radiushaving –1nC charge. Net potential at point
P (AP = 10 cm) would be.
A P
B
(1) –27 V
(2) –45 V
(3) –49.5 V
(4) –22.5 V
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12. Three particle charges of same magnitude and
different nature are placed at some distance along a
line evaluate correct variation of potential along line
joining of separation.
+q +q –q
(1)
v
(2)
v
(3)
v
(4)
v
13. A long cylinder with uniformly charged surface and
cross sectional area a moves with constant velocityv along its axis. An electric field strength at the
surface of cylinder is equal to E . The current due to
mechanical transfer of charge would be
(1) Eav
(2) 2 0Eav
(3) 2 Eav
(4) Zero
14. Each plate of a parallel plate air capacitor has an
area S . How much work has to be performed to
slowly increase the distance between the plates form
x 1 to x 2, if potential difference across plates V is kept
constant ?
(1)
20
1 2
1 1
2
SV
x x
(2)
20
2 1
1 1
2
SV
x x
(3)2
0
1 2
1 1SV
x x
(4) Zero
15. Two rectangular frames (2 m × 30 cm) and
(2 m × 40 cm) are joined along the common length.Their planes are perpendicular to each other. A long
charged wire of linear charge density 40 C/m is
placed at 25 cm from common length of planes. Net
electric flux through both the frames
(1) 4 Nm2 /C (2) 8 Nm2 /C
(3) 0.4 Nm2 /C (4) 0.8 Nm2 /C
16. A system consists of a uniformly charged sphere of
radius R and surrounding medium filled by a charge
with the volume charge density
r
, where is a
positive constant and r is the distance from the
centre of the sphere. Find charge on the sphere for
which electric field intensity outside sphere is
independent of r 2
1
R
(1) 20 C (2) 2.0 C
(3) 5.0 C (4) 4.0 C
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17. An uniformly charged and long thin wire is kept
along x -axis as shown in figure. Linear charge
density is . Electric field at P : (x, y, z ) would be
(where x 0, y 0, z 0)
------++++++++++++++++++++------- x
y
x
(1) 2 2
0
ˆ ˆ2
yj zk y z
(2) 2 2 2
0
ˆ ˆ ˆ2
xi yj zk x y z
(3) 2 2
0
ˆ ˆ2
yj zk y z
(4) 2 2 2
0
ˆ ˆ ˆ2
xi yj zk x y z
18. A point charge q is placed inside cavity of a
spherical conductor as shown in figure. Electric field
at a point lying outside the conductor due to charge
on surface of cavity would be
q
C P
r 1
r 2
(1) 21
kq
r
(2) 22
kq
r
(3) Cannot be determined
(4) Zero
19. In the measurement of resistance by a meter-bridgepercentage error is minimum when the null point is
(1) Close to 0 cm
(2) Close to 50 cm
(3) Close to 75 cm
(4) Close to 100 cm
20. A semicircular frame of radius R is having charge q and –q in the respective quadrants. Frame is free torotate about C in uniform electric field E . The workdone to rotate the frame in the given sense to bring
diameter AB parallel to electric field.
E B
q
–q A
C
R
(1)2R
qE
(2)2
R qE
(3)4R
qE
(4)4
R qE
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21. A rod of mass m length l uniformly distributed with
charge density – is placed horizontally on the
support O and P in electric field 0ˆ( )E x j . For what
value of E 0 rod is about to topple?
O x P
y
(1) 2mg
l(2) 22
mg
l
(3) 23mg
l(4) 2
3
2
mg
l
22. Time constant of circuit would be
12 V R 3 = 2
R 1 = 3
R 2 = 6
C = 5 F
(1) 20 s (2) 10 s
(3) 5 s (4) 1 s
23. An electric filed 2Nˆ ˆ ˆ, , 2 2 3C
E x y z x i yj k exists
in space. Charge density at (1, 0, 1) would be
(1) 0 (2) 20
(3) 60 (4) –60
24. Two thin conductors of same length and same area
are connected in series as shown in figure. An
electric current i flows through them. The total
charge accumulated at junction would be ( and 2
are their resistivity)
i i 3
(1) i 0 (2) 2i 0
(3) 3 i 0 (4) Zero
25. A slide wire of linearly varying radius from a to 2a of
the cross-sections and uniform resistivity with 12 V
source is applied in the experimental circuit.
Unknown emf E of the source is balanced at
mid-point of the wire. The value of E .
G
12 V
E
J
(1) 6 V (2) 8 V
(3) 10 V (4) 4 V
SECTION - II
Assertion – Reason Type Questions
Directions : Questions number 26 to 30 are Assertion-
Reason type questions. Each of these questions
contains two statements. Statement-1 (Assertion) and
Statement-2 (Reason). Each of these questions also has
four alternative choices, only one of which is the correct
answer. You have to select the correct choice.
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26. Statement-1 : A parallel plate capacitor at constant
potential is being filled by a long dielectric slab,
moves with constant speed after some time.
and
Statement-2 : After some time moving dielectric slab
will interact with fringing field on both sides.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation for
Statement-1
(2) Statement-1 is True, Statement-2 is True;
Statement-2 is NOT a correct explanation for
Statement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
27. Statement-1 : A conducting sphere cannot be
charged beyond a definite potential.
and
Statement-2 : Dielectric strength of the medium
surrounding conductor it does not allow infinite
charge.
(1) Statement-1 is True, Statement-2 is True;
Statement-2 is a correct explanation for
Statement-1
(2) Statement-1 is True, Statement-2 is True;
Statement-2 is NOT a correct explanation for
Statement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
28. Statement-1 : Electrostatic field lines never form
closed loop.
and
Statement-2 : Electrostatic field is conservative field.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True29. Statement-1 : A uniform resistance wire of thermal
coefficient of resistivity is divided in three equallength and joined parallel to each other. Equivalentthermal coefficient of resistivity (e ) is .
and
Statement-2 : e R
R
∑
∑, where R is the resistance
of the segments connected in parallel and is itscoefficient of thermal resistivity.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
30. Statement-1 : Coulomb's law obeys Gauss theorem.
and
Statement-2 : Coulomb's law obeys inverse square
law.(1) Statement-1 is True, Statement-2 is True;
Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
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SECTION - IStraight Objective Type Questions
This section contains 25 multiple choice questionsnumbered 31 to 55. Each question has 4 choices (1), (2),(3) and (4), out of which ONLY ONE is correct.
31. An inorganic carbonate salt is strongly heated. Theresidue is yellow while hot and white when cold. Thesalt contains
(1) Pb+2 (2) Zn+2
(3) Hg+2 (4) NH4+
32. On being heated, a salt gives a gas which turns limewater milky and an acidified dichromate solutiongreen. The salt may be a
(1) Carbonate (2) Sulphide
(3) Nitrate (4) Sulphite
33. Which of the following pairs of cations turns boraxbeads blue in a oxidising flame?
(1) Fe+2 and Co+2 (2) Co+2 and Cu+2
(3) Cu+2 and Mn+2 (4) Cu+2 and Cr+3
34. Which of the following pairs of cations can beseparated by adding NH4Cl and NH4OH to themixture?
(1) Fe+3, Al+3 (2) Cr+3, Ni+2
(3) Al+3, Cr+3 (4) Fe+3, Cr+3
35. Which of the following pairs of cations cannot beseparated by adding NH4Cl, NH4OH and then(NH4)2CO3 to the mixture?
(1) Ca+2, Sr2+ (2) Sr+2, Mg+2
(3) Ca+2, Mg+2 (4) Ba+2, Mg+2
36. Which of the following cations will form an insolublered-brown compound with [Fe(CN)6]
4–?
(1) Hg2+ (2) Pb+2
(3) Cu+2 (4) Cd+2
PART - B (CHEMISTRY)
37. Following ligands can show linkage isomerism
(1) CNS (2) NO2
(3) CN (4) All of these
38. Which of the following compounds show optical
isomerism?i . cis [Co(en)2Cl2]
+ ii. trans [Co(en)2Cl2]+
iii. cis-[Co(en)2] iv. [Co(en)3]+
Select the correct answer using the codes givenbelow
(1) (i) & (ii) (2) (ii) & (iii)
(3) (iii) & (iv) (4) (i), (iii) & (iv)
39. EAN of Ni in [Ni(CN)4]2– is
(1) 34 (2) 36
(3) 32 (4) 35
40. The co-ordination number of Pt in the complexion[Pt(en)2Cl2]
2+ is
(1) 3 (2) 4
(3) 5 (4) 6
41. Spin only magnetic moment of the Hg[Co(SCN)4] is
(1) 3 BM (2) 15 BM
(3) 24 BM (4) 8 BM
42. Which is not the square planar complex?
(1) [Cu(NH3)4]2+ (2) [PtCl4]
2–
(3) [NiCl4]2– (4) [AuCl4]
–
43. The number of unpaired electrons expected for thecomplexion [Cr(NH3)6]
3+ is
(1) 2 (2) 3
(3) 4 (4) 5
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57. Statement-1 : Cryolite is used in electrolyticextraction of Al from alumina.
and
Statement-2 : It dissolves alumina.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
58. Statement-1 : In acidic medium, Zn+2 is notprecipitated by S–2 ions.
and
Statement-2 : Common ion effect reduces theconcentration of S–2 ions to the minimum level.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
59. Statement-1 : K3[Fe(CN)6] is more stable thanK4[Fe(CN)6].
and
Statement-2 : In K4[Fe(CN)6], effective atomicnumber of Fe is 36.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
60. Statement-1 : Ce+4 is used as an oxidising agent involumetric analysis.
and
Statement-2 : Ce+4 has the tendency to attain +3oxidation state.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
PART - C (MATHEMATICS)
SECTION - I
Straight Objective Type QuestionsThis section contains 25 multiple choice questions
numbered 61 to 85. Each question has 4 choices (1), (2),
(3) and (4), out of which ONLY ONE is correct.
61. Set A has 10 elements. The number of subsets of
A having 2 or 3 elements is
(1) 165 (2) 45
(3) 120 (4) 100
62. Let n (S ) represents the number of elements in set 'S '
and n (A) = 4, n (B ) = 6, n (C ) = 3. If n ((A B ) C )
is maximum, then
(1) A B (2) B A
(3) A B and B C (4) C A B
63. Let n (X ) represents the number of elements in set X .
If n (A × B × C ) = 6, then the maximum value of
n (A × B B × A) is
(1) 1 (2) 9
(3) 4 (4) 36
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64. A relation 'S ' is defined on the set of real numberssuch that S = {(x , y ): x (x – 2y ) + |y |2 0} then 'S 'is
(1) Reflexive only (2) Symmetric only
(3) Not transitive (4) Equivalence
65. Let f : R R , f (x ) = x 3 + x 2 + 2kx + 6 is one-onefor all x R , then the least integral value of k is
(1) 4 (2) 2
(3) 1 (4) –3
66. If { } and [ ] represents fractional function andgreatest integer function respectively, then the
domain of {2 }( ) (log [ ])x f x x is
(1)3
[1, 2]2
(2)
3(1, 2)
2
(3)3
(1, 3)2
(4)
3(1, 4)
2
67. The range of| | 3| | 3
( )| | 4| | 4
x x x x f x
x x x x
is (–, ) – A.
The sum of all elements of set A is
(1)37
15(2)
37
17
(3)37
12(4)
37
8
68. Let f : R R defined as f(x ) = x 3 + x + 1, 1 x 2.The graph of y = g (x ) is the reflection of graph ofy = f (x ) through the line y = x . If the domain of g (x ) is[a, b ], then a + b is equal to
(1) 3 (2) 12
(3) 15 (4) 14
69. The graph of y = f (x ) is symmetric about the curvesrepresented by x 2 – 6x + 8 = 0, then the period off (2x ) is
(1) 1 (2) 2
(3) 3 (4) 4
70. Consider that f (x ), g (x ) and h (x ) are functions definedfrom R to R such that f (x ) = g (h (x )) and f (x ) is evenfunction. Now consider the following statements S 1,
S 2, S 3, S 4 .
S 1: g (x ) may even function
S 2: g (x ) is odd function and h (x ) is even
S 3: g (x ) is even function and h (x ) may be odd function
S 4: g (x + y ) = g (x ) + g (y ), h ( + ) = h () + h ()
The incorrect statement is
(1) S 4 (2) S 3
(3) S 2 (4) S 1
71.4 6 3
7 3 4–
( 1) 1lim
1x
x x x
x x x
is equal to
(1) 1 (2) –1
(3) 2 (4) 3
72. If { } represents fractional function, then the value
of 0
lim tan cot2x
x x x x
is
(1) 0 (2) 1
(3) 2 (4) Not in existence
73. 4 24
0
1– cos 4 sin 4limx
x x
x
(1) Is –29/4
(2) Is 29/4
(3) Does not exist as LHL does not exist
(4) Does not exist as LHL RHL
74. If [ ] represent greatest integer function, then sum ofvalues of 'x ' at which f (x ) = min{2x – [2x ], – 2x – [–2x ]}
is not differentiable in (0, 1) is
(1)5
2(2)
3
2
(3)7
2(4) 2
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75. The value of
2
lim (cot )[2 tan ]x
x x
, where [ ] represents
greatest integer function, is
(1) 1 (2) 2
(3) 3 (4) Not in existence
76. If { } and [ ] represents fractional function and greatest
integer function respectively, then the number ofpoints where f (x ) = [{x 2 + |x – 2|}] + {[|x 2 – 4x + 3|]}is not continuous is
(1) 0 (2) 2
(3) 3 (4) 4
77. The number of point(s), where
2 2( ) | 5| ( 6 5) 2 1f x x x x x x is notcontinuous is
(1) 4 (2) 2
(3) 3 (4) 0
78. If y = 8sinx cosx cos2x cos4x and10
10
d y
dx = ky , then
the value of (k + 810) is
(1) 1 (2) 810
(3) 0 (4) 108
79. Let f (x ) be a function defined on the set of realnumbers. If and are any two real numbers suchthat (–| – |5) (f () – f ()) | – |5, then f (x ) is
(1) One one function
(2) f (x ) is always odd function
(3) f (x ) is always even function(4) The fundamental period of f (x ) is 2
80. The sum of values of x satisfying the equation[log
2x ]2 – log
2x – 2 = 0, where [ ] representsgreatest integer function, is
(1) 5 (2)9
2
(3)7
2(4)
5
2
81. The number of elements in sets A, B and C are 2,
3 and 4 respectively. Then
(1) Number of functions from A to B is 6
(2) Number of surjective functions from B to C is 36
(3) Number of surjective functions from C to B is 36
(4) Number of one-one function from A to B is 2
82. A relation R is defined on the set of real numbers. If
{ } and [ ] represents fractional and greatest integer
function respectively and aRb such that
R = {(a, b ) : {a + 2} > [a + 2] > {b + 3}}, then
(1) R is reflexive
(2) Number of ordered pairs in R is 2
(3) R is symmetric relation
(4) R is null relation
83. The range of 22
2 1( )
2 2f x x
x x x
, where x > 0,
is equal to [a, b ) then a is equal to
(1) 1 (2) 2
(3) 3 (4) 4
84. Let f : R R defined by f (x ) = x + sin x . If g (x ) is
the inverse of f (x ), then the value of g (0) is equal to
(1) 1 (2) 2
(3) 12
(4) 13
85. Consider that1
2 ( ) 3 5 1f x f x x
, then the value
of f (1) is
(1) 1 (2) 2
(3) 3 (4) 4
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Space for Rough Work
All India Aakash Test Series for JEE (Main) 2014 Test - 5 (Paper-I)
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SECTION - IIAssertion – Reason Type Questions
Directions : Questions number 86 to 90 are Assertion- Reason type questions. Each of these questions contains two statements. Statement-1 (Assertion) and Statement-2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.
86. Statement-1 : Set A has two elements, then numberof reflexive relations from A to A is 4.
and
Statement-2 : If [ ] represents greatest integer
function, thenlog [ ] sin
lim 0[ ]x
x x
x x
.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;
Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
87. Statement-1 :
2 2
20
2 sin cos cos cos2 2
limsinx
x x
x
.
and
Statement-2 :
1
sin 2
0
5lim tan
4
x
x x e
.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
88. Statement-1 : If [ ] represents greatest integer
function, then4
lim([2 3] [3 2 ] 6) 4x
x x
.
and
Statement-2 :2 4
0
1 coslim
sinx
x x
x
= 0.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
89. Statement-1 : f (x ) = |x – 4|, then f (1) = –1.
and
Statement-2 : f (x ) = |x – 4|, is not continuous at x = 4.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation for
Statement-1(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
90. Statement-1 :4 2
4 3
1 1lim
22 1x
x x
x x
.
and
Statement-2 : If
3
1 4 0
0
x x x f x k x
is
continuous at x = 0, then k = 12.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
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Test Booklet Code
Test No. 4
Paper I
JEE (Main) 2014
for
A L L
I N D I
A A A
K ASH T E S T
S E R I E
S
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Test - 4 (Paper-I) (Answers & Hints) All India Aakash Test Series for JEE (Main)-2014
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ANSWERS
1. (2)
2. (4)
3. (2)
4. (Deleted)
5. (4)
6. (1)
7. (3)
8. (2)
9. (3)
10. (3)
11. (1)
12. (3)
13. (4)
14. (1)
15. (3)
16. (2)
17. (2)
18. (3)
19. (2)
20. (3)
21. (3)
22. (1)
23. (2)
24. (Deleted)
25. (2)
26. (4)
27. (3)
28. (1)
29. (1)
30. (1)
PHYSICS CHEMISTRY MATHEMATICS
31. (1)
32. (2)
33. (2)
34. (3)
35. (1)
36. (4)
37. (4)
38. (3)
39. (3)
40. (2)
41. (3)
42. (2)
43. (3)
44. (4)
45. (1)
46. (4)
47. (3)
48. (1)
49. (3)
50. (2)
51. (1)
52. (3)
53. (2)
54. (4)
55. (4)
56. (2)
57. (1)
58. (2)
59. (4)
60. (1)
61. (2)
62. (1)
63. (3)
64. (2)
65. (1)
66. (3)
67. (4)
68. (3)
69. (4)
70. (1)
71. (3)
72. (2)
73. (1)
74. (3)
75. (3)
76. (4)
77. (1)
78. (1)
79. (4)
80. (3)
81. (1)
82. (3)
83. (1)
84. (2)
85. (4)
86. (4)
87. (4)
88. (2)
89. (4)
90. (2)
TEST - 4 (Paper-I)