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Solution
Solved Paper
Correct
-
In-Correct
-
Unattempt
-
Q.
1
Correct
Q.
1
In-correct
Q.
1
Unattempt
Which of the following statements is not correct regarding conservation laws?
Which of the following statements is not correct regarding conservation laws?
Q.
2
Correct
Q.
2
In-correct
Q.
2
Unattempt
The increase in the height of the tower of height
200
m
to get its coverage range tripled is
The increase in the height of the tower of height
200
m
to get its coverage range tripled is
Q.
3
Correct
Q.
3
In-correct
Q.
3
Unattempt
The value of
g
at a height equal to half the radius of the earth from the earth's surface is
The value of
g
at a height equal to half the radius of the earth from the earth's surface is
Q.
4
Correct
Q.
4
In-correct
Q.
4
Unattempt
The maximum and minimum distances of a comet from the sun are
1.4
×
10
12
m
and
7
×
10
10
m
. If its velocity nearest to the sun is
6
×
10
14
ms
−
1
, what is its velocity in the farthest position?
(Assume the comet to be spherical)
The maximum and minimum distances of a comet from the sun are
1.4
×
10
12
m
and
7
×
10
10
m
. If its velocity nearest to the sun is
6
×
10
14
ms
−
1
, what is its velocity in the farthest position?
(Assume the comet to be spherical)
Q.
5
Correct
Q.
5
In-correct
Q.
5
Unattempt
The centre of mass of a system of two bodies of masses
M
and
m
,
(
M
>
m
)
, separated by a distance
d
is
The centre of mass of a system of two bodies of masses
M
and
m
,
(
M
>
m
)
, separated by a distance
d
is
Q.
6
Correct
Q.
6
In-correct
Q.
6
Unattempt
A pump on the ground floor of a building can pump up water to fill the tank of
30
m
3
in
15
min
. If the tank is
40
m
above the ground, and the efficiency of the pump is
30
%
, the power consumed by the pump is
(
g
=
10
ms
−
2
)
A pump on the ground floor of a building can pump up water to fill the tank of
30
m
3
in
15
min
. If the tank is
40
m
above the ground, and the efficiency of the pump is
30
%
, the power consumed by the pump is
(
g
=
10
ms
−
2
)
Q.
7
Correct
Q.
7
In-correct
Q.
7
Unattempt
The resistance of a galvanometer is
2.5
Ω
and it requires
50
mA
for full scale deflection. The value of shunt resistance required to convert it into an ammeter of range 0 to
5
A
is
The resistance of a galvanometer is
2.5
Ω
and it requires
50
mA
for full scale deflection. The value of shunt resistance required to convert it into an ammeter of range 0 to
5
A
is
Q.
8
Correct
Q.
8
In-correct
Q.
8
Unattempt
Zener diode is used to regulate the voltage supply because, while using a Zener diode
Zener diode is used to regulate the voltage supply because, while using a Zener diode
Q.
9
Correct
Q.
9
In-correct
Q.
9
Unattempt
In an inelastic collision, which of the following is true?
In an inelastic collision, which of the following is true?
Q.
10
Correct
Q.
10
In-correct
Q.
10
Unattempt
If a change in current of
0.01
A
in one coil produces a change in magnetic flux of
2
×
10
−
2
weber in another coil, then the mutual inductance between coils is
If a change in current of
0.01
A
in one coil produces a change in magnetic flux of
2
×
10
−
2
weber in another coil, then the mutual inductance between coils is
Q.
11
Correct
Q.
11
In-correct
Q.
11
Unattempt
An aeroplane is flying horizontally with a velocity of
360
km
h
−
1
. The distance between the tips of the wings of the aeroplane is
50
m
. The vertical component of the earth's magnetic field is
4
×
10
−
4
Wbm
−
2
. The induced emf is
An aeroplane is flying horizontally with a velocity of
360
km
h
−
1
. The distance between the tips of the wings of the aeroplane is
50
m
. The vertical component of the earth's magnetic field is
4
×
10
−
4
Wbm
−
2
. The induced emf is
Q.
12
Correct
Q.
12
In-correct
Q.
12
Unattempt
The inductance in a coil plays the same role as
The inductance in a coil plays the same role as
Q.
13
Correct
Q.
13
In-correct
Q.
13
Unattempt
The mutual inductance between two coils depends upon
The mutual inductance between two coils depends upon
Q.
14
Correct
Q.
14
In-correct
Q.
14
Unattempt
The normal magnetic flux passing through a coil changes with time according to the equation
φ
=
6
t
2
−
5
t
+
1
. What is the magnitude of the induced current at
t
=
0.253
s
and resistance
10
Ω
?
The normal magnetic flux passing through a coil changes with time according to the equation
φ
=
6
t
2
−
5
t
+
1
. What is the magnitude of the induced current at
t
=
0.253
s
and resistance
10
Ω
?
Q.
15
Correct
Q.
15
In-correct
Q.
15
Unattempt
For an electromagnetic wave, which of the following statements is true?
For an electromagnetic wave, which of the following statements is true?
Q.
16
Correct
Q.
16
In-correct
Q.
16
Unattempt
If
A
is the angle of prism,
r
angle of refraction, then the condition for minimum deviation is
If
A
is the angle of prism,
r
angle of refraction, then the condition for minimum deviation is
Q.
17
Correct
Q.
17
In-correct
Q.
17
Unattempt
A concave mirror forms an enlarged, erect, virtual image of an object, only when the object is placed
A concave mirror forms an enlarged, erect, virtual image of an object, only when the object is placed
Q.
18
Correct
Q.
18
In-correct
Q.
18
Unattempt
A man stands symmetrically between two large plane mirrors fixed to two adjacent walls of a rectangular room. The number of images formed are
A man stands symmetrically between two large plane mirrors fixed to two adjacent walls of a rectangular room. The number of images formed are
Q.
19
Correct
Q.
19
In-correct
Q.
19
Unattempt
A sinusoidal voltage of peak value
300
V
and an angular frequency
ω
=
400
rads
−
1
is applied to series
L
−
C
−
R
circuit, in which
R
=
3
Ω
,
L
=
20
mH
and
C
=
625
µ
F
. The peak current in the circuit is
A sinusoidal voltage of peak value
300
V
and an angular frequency
ω
=
400
rads
−
1
is applied to series
L
−
C
−
R
circuit, in which
R
=
3
Ω
,
L
=
20
mH
and
C
=
625
µ
F
. The peak current in the circuit is
Q.
20
Correct
Q.
20
In-correct
Q.
20
Unattempt
A ray of light falls upon a
60
∘
prism
(
µ
=
√
2
)
and it suffers minimum deviation. The angle of incidence for this ray must be
A ray of light falls upon a
60
∘
prism
(
µ
=
√
2
)
and it suffers minimum deviation. The angle of incidence for this ray must be
Q.
21
Correct
Q.
21
In-correct
Q.
21
Unattempt
A source of light of wavelength
5000
Å
is placed at one end of a table
2
m
long and
5
mm
above its flat well polished top. The fringe width of the interference bands seen on a sereen located at the end of the table is
A source of light of wavelength
5000
Å
is placed at one end of a table
2
m
long and
5
mm
above its flat well polished top. The fringe width of the interference bands seen on a sereen located at the end of the table is
Q.
22
Correct
Q.
22
In-correct
Q.
22
Unattempt
A screen is placed
2
m
away from a narrow slit. It the first minimum lies
5
mm
from either side of the central maxima, when plane waves of wavelength
5
×
10
−
7
m
are used, the slit width is
A screen is placed
2
m
away from a narrow slit. It the first minimum lies
5
mm
from either side of the central maxima, when plane waves of wavelength
5
×
10
−
7
m
are used, the slit width is
Q.
23
Correct
Q.
23
In-correct
Q.
23
Unattempt
A galaxy moves with respect to the earth, so that sodium line of
589.0
nm
is observed at
589.6
nm
. The speed of the galaxy is
A galaxy moves with respect to the earth, so that sodium line of
589.0
nm
is observed at
589.6
nm
. The speed of the galaxy is
Q.
24
Correct
Q.
24
In-correct
Q.
24
Unattempt
Newton's rings are observed normally in reflected light of wavelength
5000
Å
. The diameter of the 10th dark ring is
0.005
m
. The radius of curvature of the lens is
Newton's rings are observed normally in reflected light of wavelength
5000
Å
. The diameter of the 10th dark ring is
0.005
m
. The radius of curvature of the lens is
Q.
25
Correct
Q.
25
In-correct
Q.
25
Unattempt
The amount of energy required to separate a hydrogen atom into a proton and an electron is
The amount of energy required to separate a hydrogen atom into a proton and an electron is
Q.
26
Correct
Q.
26
In-correct
Q.
26
Unattempt
The energy equivalent of
1
g
of a substance is
The energy equivalent of
1
g
of a substance is
Q.
27
Correct
Q.
27
In-correct
Q.
27
Unattempt
Two small drops of mercury, each of radius
r
, coalesce to form a single large drop of radius
R
. The ratio of the total surface energies before and after the change is
Two small drops of mercury, each of radius
r
, coalesce to form a single large drop of radius
R
. The ratio of the total surface energies before and after the change is
Q.
28
Correct
Q.
28
In-correct
Q.
28
Unattempt
Find the energy equivalent of one atomic mass unit in joules and in MeV.
Find the energy equivalent of one atomic mass unit in joules and in MeV.
Q.
29
Correct
Q.
29
In-correct
Q.
29
Unattempt
Two amplifiers are connected one after the other in series (cascaded). The first amplifier has a voltage gain of 10 and the second has a voltage gain of 20 . If the input signal is
0.01
V
, what is the output AC signal?
Two amplifiers are connected one after the other in series (cascaded). The first amplifier has a voltage gain of 10 and the second has a voltage gain of 20 . If the input signal is
0.01
V
, what is the output AC signal?
Q.
30
Correct
Q.
30
In-correct
Q.
30
Unattempt
A transistor works as an amplifier when,
A transistor works as an amplifier when,
Q.
31
Correct
Q.
31
In-correct
Q.
31
Unattempt
In a common base circuit, collector base voltage changes by
0.6
V
and collector current changes by
0.02
mA
. Then, the output resistance is
In a common base circuit, collector base voltage changes by
0.6
V
and collector current changes by
0.02
mA
. Then, the output resistance is
Q.
32
Correct
Q.
32
In-correct
Q.
32
Unattempt
A repeater in TV transmission is
A repeater in TV transmission is
Q.
33
Correct
Q.
33
In-correct
Q.
33
Unattempt
The waves suitable for transmission of radio signals are
The waves suitable for transmission of radio signals are
Q.
34
Correct
Q.
34
In-correct
Q.
34
Unattempt
A wire of length
2
m
is made from
10
cm
3
of copper. A force
F
is applied so that its length increases by
2
mm
. Another wire of length
8
m
is made from the same volume of copper. If the force
F
is applied to it, its length will increase by
A wire of length
2
m
is made from
10
cm
3
of copper. A force
F
is applied so that its length increases by
2
mm
. Another wire of length
8
m
is made from the same volume of copper. If the force
F
is applied to it, its length will increase by
Q.
35
Correct
Q.
35
In-correct
Q.
35
Unattempt
A tennis ball of mass
m
strikes a wall with a velocity
v
and retraces the same path. Calculate the change in momentum.
A tennis ball of mass
m
strikes a wall with a velocity
v
and retraces the same path. Calculate the change in momentum.
Q.
36
Correct
Q.
36
In-correct
Q.
36
Unattempt
A monkey of mass
40
kg
climbs up a rope which can stand a maximum tension of
600
N
. The rope will break, when the monkey
A monkey of mass
40
kg
climbs up a rope which can stand a maximum tension of
600
N
. The rope will break, when the monkey
Q.
37
Correct
Q.
37
In-correct
Q.
37
Unattempt
A shell of mass
20
g
is fired by a gun of mass
100
kg
. If the shell leaves the gun with a speed of
80
ms
−
1
, then the speed of recoil of the gun is
A shell of mass
20
g
is fired by a gun of mass
100
kg
. If the shell leaves the gun with a speed of
80
ms
−
1
, then the speed of recoil of the gun is
Q.
38
Correct
Q.
38
In-correct
Q.
38
Unattempt
Two boys are standing at ends
A
and
B
of a ground where
A
B
=
200
m
. The boy at
B
starts running in a direction perpendicular to
A
B
with a speed of
6
ms
−
1
. The boy at
A
starts simultaneously with a velocity of
10
ms
−
1
and catches the other at time,
t
where the time,
t
is
Two boys are standing at ends
A
and
B
of a ground where
A
B
=
200
m
. The boy at
B
starts running in a direction perpendicular to
A
B
with a speed of
6
ms
−
1
. The boy at
A
starts simultaneously with a velocity of
10
ms
−
1
and catches the other at time,
t
where the time,
t
is
Q.
39
Correct
Q.
39
In-correct
Q.
39
Unattempt
A car covers the first half distance between two places at
40
kmph
and the other half at
60
kmph
. The average speed of the car is
A car covers the first half distance between two places at
40
kmph
and the other half at
60
kmph
. The average speed of the car is
Q.
40
Correct
Q.
40
In-correct
Q.
40
Unattempt
The dimensions of universal gravitational constant is
The dimensions of universal gravitational constant is
Q.
41
Correct
Q.
41
In-correct
Q.
41
Unattempt
Which two of the following quantities are dimensionally equivalent?
(i) Force
(ii) Pressure
(iii) Young's modulus
(iv) Energy
Which two of the following quantities are dimensionally equivalent?
(i) Force
(ii) Pressure
(iii) Young's modulus
(iv) Energy
Q.
42
Correct
Q.
42
In-correct
Q.
42
Unattempt
The temperature of an object is
60
∘
C
. Its value in Fahrenheit scale is
The temperature of an object is
60
∘
C
. Its value in Fahrenheit scale is
Q.
43
Correct
Q.
43
In-correct
Q.
43
Unattempt
A pan filled with hot food cools from
94
∘
C
to
86
∘
C
in
2
min
, when the room temperature is
20
∘
C
. The time taken for the food to cool from
86
∘
C
to
74
∘
C
will be
A pan filled with hot food cools from
94
∘
C
to
86
∘
C
in
2
min
, when the room temperature is
20
∘
C
. The time taken for the food to cool from
86
∘
C
to
74
∘
C
will be
Q.
44
Correct
Q.
44
In-correct
Q.
44
Unattempt
A system containing a ball is oscillating on a frictionless horizontal plan The position of the mass when its potential energy and its kinetic energy both are equal, is (let
A
is the amplitude of oscillation)
A system containing a ball is oscillating on a frictionless horizontal plan The position of the mass when its potential energy and its kinetic energy both are equal, is (let
A
is the amplitude of oscillation)
Q.
45
Correct
Q.
45
In-correct
Q.
45
Unattempt
The universal gas law
(
p
V
T
=
.
constant
)
is applicable to
The universal gas law
(
p
V
T
=
.
constant
)
is applicable to
Q.
46
Correct
Q.
46
In-correct
Q.
46
Unattempt
On an average, a human heart is found to beat 72 times a minute. Its frequency and period are
On an average, a human heart is found to beat 72 times a minute. Its frequency and period are
Q.
47
Correct
Q.
47
In-correct
Q.
47
Unattempt
A hospital uses an ultrasonic scanner to locate tumors in a tissue. The operating frequency of the scanner is
4.2
MHz
. The speed of sound in a tissue is
1.7
km
s
−
1
. The wavelength of sound in the tissue is
A hospital uses an ultrasonic scanner to locate tumors in a tissue. The operating frequency of the scanner is
4.2
MHz
. The speed of sound in a tissue is
1.7
km
s
−
1
. The wavelength of sound in the tissue is
Q.
48
Correct
Q.
48
In-correct
Q.
48
Unattempt
A policeman on duty detects a drop of
15
%
in the pitch of the hom of a motor car as it crosses him. If the velocity of sound is
330
ms
−
1
, then calculate the speed of the car.
A policeman on duty detects a drop of
15
%
in the pitch of the hom of a motor car as it crosses him. If the velocity of sound is
330
ms
−
1
, then calculate the speed of the car.
Q.
49
Correct
Q.
49
In-correct
Q.
49
Unattempt
An electric dipole placed in a non-uniform electric field experiences
An electric dipole placed in a non-uniform electric field experiences
Q.
50
Correct
Q.
50
In-correct
Q.
50
Unattempt
For a polar molecule, which of the following statements is true?
For a polar molecule, which of the following statements is true?
Q.
51
Correct
Q.
51
In-correct
Q.
51
Unattempt
A
10
mF
capacitor has been charged to a potential of
100
V
. Suddenly if it explodes, the energy given out is
A
10
mF
capacitor has been charged to a potential of
100
V
. Suddenly if it explodes, the energy given out is
Q.
52
Correct
Q.
52
In-correct
Q.
52
Unattempt
The region between the parallel plates of capacitor is filled with parallel layers of air and paper (of dielectric constant 4). The space between the plates is
1
mm
and the thickness of paper is
0.75
mm
. The ratio of the voltage across air and paper is
The region between the parallel plates of capacitor is filled with parallel layers of air and paper (of dielectric constant 4). The space between the plates is
1
mm
and the thickness of paper is
0.75
mm
. The ratio of the voltage across air and paper is
Q.
53
Correct
Q.
53
In-correct
Q.
53
Unattempt
Two copper wires, one of length
1
m
and the other of length
9
m
have the same resistance. The diameters are in the ratio
Two copper wires, one of length
1
m
and the other of length
9
m
have the same resistance. The diameters are in the ratio
Q.
54
Correct
Q.
54
In-correct
Q.
54
Unattempt
Which of the following is a correct statement?
Which of the following is a correct statement?
Q.
55
Correct
Q.
55
In-correct
Q.
55
Unattempt
A proton and an
α
-particle are projected with the same kinetic energy at right angles to a uniform magnetic field.
The ratio of the radii of their paths is
A proton and an
α
-particle are projected with the same kinetic energy at right angles to a uniform magnetic field.
The ratio of the radii of their paths is
Q.
56
Correct
Q.
56
In-correct
Q.
56
Unattempt
The magnetic properties of a magnet is lost at its
The magnetic properties of a magnet is lost at its
Q.
57
Correct
Q.
57
In-correct
Q.
57
Unattempt
Electromagnets are made of soft iron because soft iron has
Electromagnets are made of soft iron because soft iron has
Q.
58
Correct
Q.
58
In-correct
Q.
58
Unattempt
Three charges
−
q
,
+
Q
and
−
q
are placed at equal distances along a straight line. If the total
PE
of the system is zero, then the ratio
Q
q
becomes
Three charges
−
q
,
+
Q
and
−
q
are placed at equal distances along a straight line. If the total
PE
of the system is zero, then the ratio
Q
q
becomes
Q.
59
Correct
Q.
59
In-correct
Q.
59
Unattempt
The equivalent resistance of the circuit between
A
and
B
is
The equivalent resistance of the circuit between
A
and
B
is
Q.
60
Correct
Q.
60
In-correct
Q.
60
Unattempt
The TV signals have a bandwidth of
3.7
MHz
. The number of TV channels that can be accommodated with a band of
3700
GHz
is
The TV signals have a bandwidth of
3.7
MHz
. The number of TV channels that can be accommodated with a band of
3700
GHz
is
Q.
61
Correct
Q.
61
In-correct
Q.
61
Unattempt
Density of
3
M
solution of
NaCl
is
1.25
g
∕
mL
. The mass of the solvent in the solution is
Density of
3
M
solution of
NaCl
is
1.25
g
∕
mL
. The mass of the solvent in the solution is
Q.
62
Correct
Q.
62
In-correct
Q.
62
Unattempt
An orbital with
n
=
3
,
l
=
1
is designated as
An orbital with
n
=
3
,
l
=
1
is designated as
Q.
63
Correct
Q.
63
In-correct
Q.
63
Unattempt
A 150 watt bulb emits light of wavelength
6600
Å
and only
8
%
of the energy is emitted as light. How many photons are emitted by the bulb per second?
A 150 watt bulb emits light of wavelength
6600
Å
and only
8
%
of the energy is emitted as light. How many photons are emitted by the bulb per second?
Q.
64
Correct
Q.
64
In-correct
Q.
64
Unattempt
In the following sets of ions, which one is not isoelectronic with the rest of the species?
O
2
−
,
F
−
,
Na
,
Mg
2
+
,
Al
3
+
,
Ne
In the following sets of ions, which one is not isoelectronic with the rest of the species?
O
2
−
,
F
−
,
Na
,
Mg
2
+
,
Al
3
+
,
Ne
Q.
65
Correct
Q.
65
In-correct
Q.
65
Unattempt
For all gases, at any given pressure, the graph of volume
c
s
temperature (in celsius) is a straight line. This graph is called
For all gases, at any given pressure, the graph of volume
c
s
temperature (in celsius) is a straight line. This graph is called
Q.
66
Correct
Q.
66
In-correct
Q.
66
Unattempt
Atomic numbers of vanadium, chromium, nickel and iron are
23
,
24
,
28
and 26 respectively. Which one of these is expected to have the highest second ionisation enthalpy?
Atomic numbers of vanadium, chromium, nickel and iron are
23
,
24
,
28
and 26 respectively. Which one of these is expected to have the highest second ionisation enthalpy?
Q.
67
Correct
Q.
67
In-correct
Q.
67
Unattempt
Which of these represents the correct order of their increasing bond order?
Which of these represents the correct order of their increasing bond order?
Q.
68
Correct
Q.
68
In-correct
Q.
68
Unattempt
Pick up the incorrect statement.
Pick up the incorrect statement.
Q.
69
Correct
Q.
69
In-correct
Q.
69
Unattempt
The mole fraction of dioxygen in a neon-dioxygen mixture is 0.18 . If the total pressure of the mixture is
25
bar
, the partial pressure of neon in the mixture would be
The mole fraction of dioxygen in a neon-dioxygen mixture is 0.18 . If the total pressure of the mixture is
25
bar
, the partial pressure of neon in the mixture would be
Q.
70
Correct
Q.
70
In-correct
Q.
70
Unattempt
Standard molar enthalpies of formation of
CaCO
3
(
s
)
,
CaO
(
s
)
and
CO
2
(
g
)
are
−
1206.92
kJ
mol
−
1
,
−
635.09
kJ
mol
−
1
and
−
393.51
kJ
mol
−
1
respectively. The
∆
r
H
, for decomposition of
CaCO
3
(
s
)
is
Standard molar enthalpies of formation of
CaCO
3
(
s
)
,
CaO
(
s
)
and
CO
2
(
g
)
are
−
1206.92
kJ
mol
−
1
,
−
635.09
kJ
mol
−
1
and
−
393.51
kJ
mol
−
1
respectively. The
∆
r
H
, for decomposition of
CaCO
3
(
s
)
is
Q.
71
Correct
Q.
71
In-correct
Q.
71
Unattempt
∆
r
G
∘
for the conversion of
O
2
to ozone,
3
2
O
2
(
g
)
→
O
3
(
g
)
at
298
K
is
(
K
p
.
for this conversion is
1
×
10
−
29
)
∆
r
G
∘
for the conversion of
O
2
to ozone,
3
2
O
2
(
g
)
→
O
3
(
g
)
at
298
K
is
(
K
p
.
for this conversion is
1
×
10
−
29
)
Q.
72
Correct
Q.
72
In-correct
Q.
72
Unattempt
In which of the following case, does the reaction go farthest to completion if
In which of the following case, does the reaction go farthest to completion if
Q.
73
Correct
Q.
73
In-correct
Q.
73
Unattempt
One mole of
PCl
5
is heated in a closed
2
dm
3
vessel. At equilibrium
40
%
PCl
5
is dissociate.
Calculate the equilibrium constant.
One mole of
PCl
5
is heated in a closed
2
dm
3
vessel. At equilibrium
40
%
PCl
5
is dissociate.
Calculate the equilibrium constant.
Q.
74
Correct
Q.
74
In-correct
Q.
74
Unattempt
The non-existence of
PbI
4
and
PbBr
4
is due to
The non-existence of
PbI
4
and
PbBr
4
is due to
Q.
75
Correct
Q.
75
In-correct
Q.
75
Unattempt
Which of the following species do not show disproportionation reaction?
Which of the following species do not show disproportionation reaction?
Q.
76
Correct
Q.
76
In-correct
Q.
76
Unattempt
Sodium dissolves in liquid
NH
3
to give a deep blue solution. This is due to
Sodium dissolves in liquid
NH
3
to give a deep blue solution. This is due to
Q.
77
Correct
Q.
77
In-correct
Q.
77
Unattempt
Fullerene with formula
C
60
has a structure where every carbon atom is
Fullerene with formula
C
60
has a structure where every carbon atom is
Q.
78
Correct
Q.
78
In-correct
Q.
78
Unattempt
Maleic acid and fumaric acid are
Maleic acid and fumaric acid are
Q.
79
Correct
Q.
79
In-correct
Q.
79
Unattempt
The IUPAC name of tertiary butyl chloride is
The IUPAC name of tertiary butyl chloride is
Q.
80
Correct
Q.
80
In-correct
Q.
80
Unattempt
The compound which on ozonolysis produces a mixture of propanone and ethanal is
The compound which on ozonolysis produces a mixture of propanone and ethanal is
Q.
81
Correct
Q.
81
In-correct
Q.
81
Unattempt
When 2-bromopentane is heated with alcoholic solution of potassium hydroxide, the major product obtained is
When 2-bromopentane is heated with alcoholic solution of potassium hydroxide, the major product obtained is
Q.
82
Correct
Q.
82
In-correct
Q.
82
Unattempt
Rain water is called acid rain when its
pH
Rain water is called acid rain when its
pH
Q.
83
Correct
Q.
83
In-correct
Q.
83
Unattempt
Schottky defect in crystals is observed when
Schottky defect in crystals is observed when
Q.
84
Correct
Q.
84
In-correct
Q.
84
Unattempt
A crystalline solid has
A
−
ions at the corners and face centres, whereas
B
+
ions are at the body centre and edge centres of the unit cell. The simplest formula of the compound will be
A crystalline solid has
A
−
ions at the corners and face centres, whereas
B
+
ions are at the body centre and edge centres of the unit cell. The simplest formula of the compound will be
Q.
85
Correct
Q.
85
In-correct
Q.
85
Unattempt
The radius of an atom is
300
pm
. If it crystallises in a face-centered cubic lattice, the length of the edge of the unit cell is
The radius of an atom is
300
pm
. If it crystallises in a face-centered cubic lattice, the length of the edge of the unit cell is
Q.
86
Correct
Q.
86
In-correct
Q.
86
Unattempt
When the concentration is expressed as the number of moles of solute per kilogram of the solvent, it is known as
When the concentration is expressed as the number of moles of solute per kilogram of the solvent, it is known as
Q.
87
Correct
Q.
87
In-correct
Q.
87
Unattempt
van't Hoff factors of equimolal solutions of sodium chloride, barium chloride and glucose in water are
van't Hoff factors of equimolal solutions of sodium chloride, barium chloride and glucose in water are
Q.
88
Correct
Q.
88
In-correct
Q.
88
Unattempt
A one molal solution of sodium chloride in water has the same boiling point as
A one molal solution of sodium chloride in water has the same boiling point as
Q.
89
Correct
Q.
89
In-correct
Q.
89
Unattempt
Vapour pressure of water at
293
K
is
17.535
mm
Hg
. The vapour pressure of water at
293
K
containing
25
g
of glucose dissolved in
450
g
of water is
Vapour pressure of water at
293
K
is
17.535
mm
Hg
. The vapour pressure of water at
293
K
containing
25
g
of glucose dissolved in
450
g
of water is
Q.
90
Correct
Q.
90
In-correct
Q.
90
Unattempt
In a electrochemical cell, the reaction will be feasible when
In a electrochemical cell, the reaction will be feasible when
Q.
91
Correct
Q.
91
In-correct
Q.
91
Unattempt
The standard emf of the cell
Zn
|
Zn
2
+
|
|
Ag
+
|
Ag
is
1.56
V
. If the standard reduction potential of
Ag
is
0.8
V
, the standard oxidation potential of
Zn
is
The standard emf of the cell
Zn
|
Zn
2
+
|
|
Ag
+
|
Ag
is
1.56
V
. If the standard reduction potential of
Ag
is
0.8
V
, the standard oxidation potential of
Zn
is
Q.
92
Correct
Q.
92
In-correct
Q.
92
Unattempt
The molar conductivities of
NaOH
,
NaCl
and
BaCl
2
at infinite dilution are
2.481
×
10
−
2
S
m
2
mol
−
1
1.265
×
10
−
2
S
m
2
mol
−
1
and
2.800
×
10
−
2
S
m
2
mol
−
1
respectively. The molar conductivity of
Ba
(
OH
)
2
at infinite dilution will be
The molar conductivities of
NaOH
,
NaCl
and
BaCl
2
at infinite dilution are
2.481
×
10
−
2
S
m
2
mol
−
1
1.265
×
10
−
2
S
m
2
mol
−
1
and
2.800
×
10
−
2
S
m
2
mol
−
1
respectively. The molar conductivity of
Ba
(
OH
)
2
at infinite dilution will be
Q.
93
Correct
Q.
93
In-correct
Q.
93
Unattempt
The rate of a chemical reaction doubles for every
10
∘
C
rise in temperature. If the temperature increases by
60
∘
C
, the rate of reaction increases
The rate of a chemical reaction doubles for every
10
∘
C
rise in temperature. If the temperature increases by
60
∘
C
, the rate of reaction increases
Q.
94
Correct
Q.
94
In-correct
Q.
94
Unattempt
An endothermic reaction,
A
→
B
has an activation energy as
x
kJ
∕
mol
. If the energy change of the reaction is
y
kJ
, the activation energy of the reverse reaction is
An endothermic reaction,
A
→
B
has an activation energy as
x
kJ
∕
mol
. If the energy change of the reaction is
y
kJ
, the activation energy of the reverse reaction is
Q.
95
Correct
Q.
95
In-correct
Q.
95
Unattempt
a
P
+
b
Q
→
products, when
[
P
]
is doubled keeping
[
Q
]
constant and rate increases 2 times, when
[
P
]
is constant and
[
Q
]
is doubled and rate increases four times. The overall order is
a
P
+
b
Q
→
products, when
[
P
]
is doubled keeping
[
Q
]
constant and rate increases 2 times, when
[
P
]
is constant and
[
Q
]
is doubled and rate increases four times. The overall order is
Q.
96
Correct
Q.
96
In-correct
Q.
96
Unattempt
Semiconductors of very high purity are obtained by
Semiconductors of very high purity are obtained by
Q.
97
Correct
Q.
97
In-correct
Q.
97
Unattempt
Sodium cyanide is added as a depressant in the froth floatation process when the ore contains a mixture of
ZnS
and
PbS
. This is because
Sodium cyanide is added as a depressant in the froth floatation process when the ore contains a mixture of
ZnS
and
PbS
. This is because
Q.
98
Correct
Q.
98
In-correct
Q.
98
Unattempt
Solid
A
reacts with strong
NaOH
(
a
q
)
liberating a foul smelling gas
B
which spontaneously burn in air giving smoky rings.
A
and
B
are respectively.
Solid
A
reacts with strong
NaOH
(
a
q
)
liberating a foul smelling gas
B
which spontaneously burn in air giving smoky rings.
A
and
B
are respectively.
Q.
99
Correct
Q.
99
In-correct
Q.
99
Unattempt
SO
2
+
2
H
2
S
→
3
S
+
2
H
2
O
. This equation represents preparation of sulphur sol by
SO
2
+
2
H
2
S
→
3
S
+
2
H
2
O
. This equation represents preparation of sulphur sol by
Q.
100
Correct
Q.
100
In-correct
Q.
100
Unattempt
Which of the following inert gas compounds is not formed?
Which of the following inert gas compounds is not formed?
Q.
101
Correct
Q.
101
In-correct
Q.
101
Unattempt
Nitrogen shows maximum covalency of 4 whereas, other heavier elements of the group show higher covalency because,
Nitrogen shows maximum covalency of 4 whereas, other heavier elements of the group show higher covalency because,
Q.
102
Correct
Q.
102
In-correct
Q.
102
Unattempt
.The photographic industry relies on the special light sensitive properties of
.The photographic industry relies on the special light sensitive properties of
Q.
103
Correct
Q.
103
In-correct
Q.
103
Unattempt
In acidic medium, potassium permanganate oxidises oxalic acid to
In acidic medium, potassium permanganate oxidises oxalic acid to
Q.
104
Correct
Q.
104
In-correct
Q.
104
Unattempt
The complex
[
PtCl
2
(
e
n
)
2
]
2
+
ion shows
The complex
[
PtCl
2
(
e
n
)
2
]
2
+
ion shows
Q.
105
Correct
Q.
105
In-correct
Q.
105
Unattempt
The complex
[
Ag
(
NH
3
)
2
]
[
Ag
(
CN
)
2
]
has the
IUPAC name
The complex
[
Ag
(
NH
3
)
2
]
[
Ag
(
CN
)
2
]
has the
IUPAC name
Q.
106
Correct
Q.
106
In-correct
Q.
106
Unattempt
Molar conductance of a complex of cobalt is zero. Then its structure would be
Molar conductance of a complex of cobalt is zero. Then its structure would be
Q.
107
Correct
Q.
107
In-correct
Q.
107
Unattempt
The reaction,
CH
3
CH
2
I
+
KOH
(
a
q
)
→
CH
3
CH
2
OH
+
KI
is classified as
The reaction,
CH
3
CH
2
I
+
KOH
(
a
q
)
→
CH
3
CH
2
OH
+
KI
is classified as
Q.
108
Correct
Q.
108
In-correct
Q.
108
Unattempt
For
S
N
1
reaction, the order of reactivity of haloalkanes is
For
S
N
1
reaction, the order of reactivity of haloalkanes is
Q.
109
Correct
Q.
109
In-correct
Q.
109
Unattempt
The major product obtained when chlorobenzene is nitrated with
HNO
3
+
con
The major product obtained when chlorobenzene is nitrated with
HNO
3
+
con
Q.
110
Correct
Q.
110
In-correct
Q.
110
Unattempt
The unstable intermediate dichlorocarbene
[
:
CCl
2
]
is formed during
The unstable intermediate dichlorocarbene
[
:
CCl
2
]
is formed during
Q.
111
Correct
Q.
111
In-correct
Q.
111
Unattempt
Phenols are highly acidic compared to alcohols due to
Phenols are highly acidic compared to alcohols due to
Q.
112
Correct
Q.
112
In-correct
Q.
112
Unattempt
Arrangement of following compounds based on their boiling points in the increasing order. n-butane, 1-butanol, ethoxyethane and 1-propanol will be
Arrangement of following compounds based on their boiling points in the increasing order. n-butane, 1-butanol, ethoxyethane and 1-propanol will be
Q.
113
Correct
Q.
113
In-correct
Q.
113
Unattempt
Among 2-chloropropanoic acid, 3-chloro-propanoic acid, 2-2-dichloroacetic acid and propanoic acid the
K
a
values will be in the order,
Among 2-chloropropanoic acid, 3-chloro-propanoic acid, 2-2-dichloroacetic acid and propanoic acid the
K
a
values will be in the order,
Q.
114
Correct
Q.
114
In-correct
Q.
114
Unattempt
A reaction between a carbonyl compound and a Grignard reagent is termed as
A reaction between a carbonyl compound and a Grignard reagent is termed as
Q.
115
Correct
Q.
115
In-correct
Q.
115
Unattempt
Ethanal is treated with a primary alcohol in presence of
HCl
gas. The reaction is known as
Ethanal is treated with a primary alcohol in presence of
HCl
gas. The reaction is known as
Q.
116
Correct
Q.
116
In-correct
Q.
116
Unattempt
CH
3
−
CN
NaNC
4
H
5
OH
→
A
HNO
2
→
B
→
573
K
C
here
C
is
CH
3
−
CN
NaNC
4
H
5
OH
→
A
HNO
2
→
B
→
573
K
C
here
C
is
Q.
117
Correct
Q.
117
In-correct
Q.
117
Unattempt
In nucleic acids the nucleotides are linked by
In nucleic acids the nucleotides are linked by
Q.
118
Correct
Q.
118
In-correct
Q.
118
Unattempt
Amino acids exist as zwitter ions at
Amino acids exist as zwitter ions at
Q.
119
Correct
Q.
119
In-correct
Q.
119
Unattempt
Which one of the following is an addition polymer?
Which one of the following is an addition polymer?
Q.
120
Correct
Q.
120
In-correct
Q.
120
Unattempt
Among the following compounds, the only one which is not an artificial sweetening agent is
Among the following compounds, the only one which is not an artificial sweetening agent is
Q.
121
Correct
Q.
121
In-correct
Q.
121
Unattempt
Which of the following is an empty set?
Which of the following is an empty set?
Q.
122
Correct
Q.
122
In-correct
Q.
122
Unattempt
The number of proper subsets of a set having
n
+
1
elements is
The number of proper subsets of a set having
n
+
1
elements is
Q.
123
Correct
Q.
123
In-correct
Q.
123
Unattempt
The domain of the function
y
=
√
x
−
2
+
√
1
−
x
is
The domain of the function
y
=
√
x
−
2
+
√
1
−
x
is
Q.
124
Correct
Q.
124
In-correct
Q.
124
Unattempt
If
A
=
{
1
,
2
,
3
,
4
}
, then which one of the following is reflexive?
If
A
=
{
1
,
2
,
3
,
4
}
, then which one of the following is reflexive?
Q.
125
Correct
Q.
125
In-correct
Q.
125
Unattempt
If
f
(
x
)
=
2
x
−
3
3
x
+
4
, then
f
−
1
(
−
4
3
)
=
If
f
(
x
)
=
2
x
−
3
3
x
+
4
, then
f
−
1
(
−
4
3
)
=
Q.
126
Correct
Q.
126
In-correct
Q.
126
Unattempt
If
f
:
[
0
,
∞
)
→
[
2
,
∞
)
is given by
f
(
x
)
=
x
+
1
x
, then
f
−
1
(
x
)
equals
If
f
:
[
0
,
∞
)
→
[
2
,
∞
)
is given by
f
(
x
)
=
x
+
1
x
, then
f
−
1
(
x
)
equals
Q.
127
Correct
Q.
127
In-correct
Q.
127
Unattempt
The value of
tan
330
∘
s
e
c
420
∘
s
i
n
300
∘
tan
135
∘
s
i
n
210
∘
s
e
c
315
∘
is equal to
The value of
tan
330
∘
s
e
c
420
∘
s
i
n
300
∘
tan
135
∘
s
i
n
210
∘
s
e
c
315
∘
is equal to
Q.
128
Correct
Q.
128
In-correct
Q.
128
Unattempt
.If
s
i
n
(
120
−
A
)
=
s
i
n
(
120
−
B
)
and
0
<
A
,
B
<
π
then all values of
A
and
B
are given by
.If
s
i
n
(
120
−
A
)
=
s
i
n
(
120
−
B
)
and
0
<
A
,
B
<
π
then all values of
A
and
B
are given by
Q.
129
Correct
Q.
129
In-correct
Q.
129
Unattempt
. If
cot
−
1
1
5
+
cot
−
1
1
3
−
cot
−
1
4
7
=
cot
−
1
x
, then
x
is equal to
. If
cot
−
1
1
5
+
cot
−
1
1
3
−
cot
−
1
4
7
=
cot
−
1
x
, then
x
is equal to
Q.
130
Correct
Q.
130
In-correct
Q.
130
Unattempt
. If
1
+
i
=
(
x
+
i
y
)
(
u
+
i
c
)
, then
tan
−
1
(
y
x
)
+
cot
−
1
(
u
x
)
has the value
. If
1
+
i
=
(
x
+
i
y
)
(
u
+
i
c
)
, then
tan
−
1
(
y
x
)
+
cot
−
1
(
u
x
)
has the value
Q.
131
Correct
Q.
131
In-correct
Q.
131
Unattempt
For a natural number
n
, which one is the correct statement?
For a natural number
n
, which one is the correct statement?
Q.
132
Correct
Q.
132
In-correct
Q.
132
Unattempt
If a complex number lies in the III quadrant. Find the quadrant in which its conjugate lies.
If a complex number lies in the III quadrant. Find the quadrant in which its conjugate lies.
Q.
133
Correct
Q.
133
In-correct
Q.
133
Unattempt
If
β
satisfies the inequation
x
2
−
x
−
6
>
0
, then a value exists for
If
β
satisfies the inequation
x
2
−
x
−
6
>
0
, then a value exists for
Q.
134
Correct
Q.
134
In-correct
Q.
134
Unattempt
If
56
P
r
+
6
:
54
P
r
+
3
=
30800
:
1
, then
If
56
P
r
+
6
:
54
P
r
+
3
=
30800
:
1
, then
Q.
135
Correct
Q.
135
In-correct
Q.
135
Unattempt
If the coefficient of
x
5
and
x
6
in
(
2
+
x
3
)
n
are equal, then
n
is
If the coefficient of
x
5
and
x
6
in
(
2
+
x
3
)
n
are equal, then
n
is
Q.
136
Correct
Q.
136
In-correct
Q.
136
Unattempt
The term independent of
x
in
[
√
(
x
3
)
+
√
(
3
2
x
2
)
]
10
is
The term independent of
x
in
[
√
(
x
3
)
+
√
(
3
2
x
2
)
]
10
is
Q.
137
Correct
Q.
137
In-correct
Q.
137
Unattempt
The sum of the series
1
2
1
⋅
2
+
1
2
+
2
2
2
⋅
3
+
1
2
+
2
2
+
3
2
3
⋅
4
+
.
.
.
upto 20 terms is
The sum of the series
1
2
1
⋅
2
+
1
2
+
2
2
2
⋅
3
+
1
2
+
2
2
+
3
2
3
⋅
4
+
.
.
.
upto 20 terms is
Q.
138
Correct
Q.
138
In-correct
Q.
138
Unattempt
The angle between lines
√
3
x
+
y
=
1
and
x
+
√
3
y
=
1
is
The angle between lines
√
3
x
+
y
=
1
and
x
+
√
3
y
=
1
is
Q.
139
Correct
Q.
139
In-correct
Q.
139
Unattempt
- If
a
is a parameter then an equation of a family of lines having the sum of the intercepts on axes equal to 7 is
- If
a
is a parameter then an equation of a family of lines having the sum of the intercepts on axes equal to 7 is
Q.
140
Correct
Q.
140
In-correct
Q.
140
Unattempt
The equation of the ellipse whose centre is at the origin and the
X
-axis is major axis, which passes through the points
(
−
3
,
1
)
and
(
2
,
−
2
)
is
The equation of the ellipse whose centre is at the origin and the
X
-axis is major axis, which passes through the points
(
−
3
,
1
)
and
(
2
,
−
2
)
is
Q.
141
Correct
Q.
141
In-correct
Q.
141
Unattempt
The equation of the lines joining the vertex of the parabola
y
2
=
6
x
to the point on it which have abscissa 24 are
The equation of the lines joining the vertex of the parabola
y
2
=
6
x
to the point on it which have abscissa 24 are
Q.
142
Correct
Q.
142
In-correct
Q.
142
Unattempt
Find the distance of a point
(
1
,
2
,
3
)
from the plane
3
y
+
4
z
+
4
=
0
.
Find the distance of a point
(
1
,
2
,
3
)
from the plane
3
y
+
4
z
+
4
=
0
.
Q.
143
Correct
Q.
143
In-correct
Q.
143
Unattempt
A
B
and
C
D
are two line segments, where
A
(
2
,
3
,
0
)
,
B
(
6
,
9
,
0
)
,
C
(
−
6
,
−
9
,
0
)
.
P
and
Q
are mid-point of
A
B
and
C
D
, respectively and
L
is the mid-point of
P
Q
. Find the distance of
L
from the plane
3
x
+
4
z
+
25
=
0
A
B
and
C
D
are two line segments, where
A
(
2
,
3
,
0
)
,
B
(
6
,
9
,
0
)
,
C
(
−
6
,
−
9
,
0
)
.
P
and
Q
are mid-point of
A
B
and
C
D
, respectively and
L
is the mid-point of
P
Q
. Find the distance of
L
from the plane
3
x
+
4
z
+
25
=
0
Q.
144
Correct
Q.
144
In-correct
Q.
144
Unattempt
Determine the plane through the intersection of the planes
x
+
2
y
+
3
z
−
4
=
0
and
2
x
+
y
−
z
+
5
=
0
and perpendicular to the plane
5
x
+
3
y
+
6
z
+
8
=
0
Determine the plane through the intersection of the planes
x
+
2
y
+
3
z
−
4
=
0
and
2
x
+
y
−
z
+
5
=
0
and perpendicular to the plane
5
x
+
3
y
+
6
z
+
8
=
0
Q.
145
Correct
Q.
145
In-correct
Q.
145
Unattempt
lim
x
→
0
x
a
x
−
x
1
−
cos
x
is equal to
lim
x
→
0
x
a
x
−
x
1
−
cos
x
is equal to
Q.
146
Correct
Q.
146
In-correct
Q.
146
Unattempt
lim
x
→
0
x
a
x
−
x
1
−
cos
x
is equal to
lim
x
→
0
x
a
x
−
x
1
−
cos
x
is equal to
Q.
147
Correct
Q.
147
In-correct
Q.
147
Unattempt
If
y
=
tan
x
, then
d
2
y
d
x
2
=
If
y
=
tan
x
, then
d
2
y
d
x
2
=
Q.
148
Correct
Q.
148
In-correct
Q.
148
Unattempt
If
y
=
tan
−
1
(
a
−
x
1
+
a
x
)
, then
d
y
d
x
=
If
y
=
tan
−
1
(
a
−
x
1
+
a
x
)
, then
d
y
d
x
=
Q.
149
Correct
Q.
149
In-correct
Q.
149
Unattempt
. If
f
(
x
)
=
{
[
x
]
+
[
−
x
]
,
x
≠
2
K
x
=
2
,
then
f
(
x
)
is continuous at
x
=
2
, provided
K
is equal to
. If
f
(
x
)
=
{
[
x
]
+
[
−
x
]
,
x
≠
2
K
x
=
2
,
then
f
(
x
)
is continuous at
x
=
2
, provided
K
is equal to
Q.
150
Correct
Q.
150
In-correct
Q.
150
Unattempt
The curve
x
2
−
x
y
+
y
2
=
27
has tangents parallel to
X
-axis at
The curve
x
2
−
x
y
+
y
2
=
27
has tangents parallel to
X
-axis at
Q.
151
Correct
Q.
151
In-correct
Q.
151
Unattempt
The point on the circle
x
2
+
y
2
=
2
at the abscissa and ordinate increase at the same ate is
The point on the circle
x
2
+
y
2
=
2
at the abscissa and ordinate increase at the same ate is
Q.
152
Correct
Q.
152
In-correct
Q.
152
Unattempt
A spherical balloon is being inflated at the rate of
35
cm
∕
min
. When its radius is
7
cm
, its surface area increases at the rate of
A spherical balloon is being inflated at the rate of
35
cm
∕
min
. When its radius is
7
cm
, its surface area increases at the rate of
Q.
153
Correct
Q.
153
In-correct
Q.
153
Unattempt
∫
e
x
(
cos
x
−
s
i
n
x
)
dx
is equal to
∫
e
x
(
cos
x
−
s
i
n
x
)
dx
is equal to
Q.
154
Correct
Q.
154
In-correct
Q.
154
Unattempt
The solution of
(
2
x
−
10
y
3
)
d
y
d
x
+
y
=
0
is
The solution of
(
2
x
−
10
y
3
)
d
y
d
x
+
y
=
0
is
Q.
155
Correct
Q.
155
In-correct
Q.
155
Unattempt
The solution of
(
x
+
y
)
2
(
x
d
y
d
x
+
y
)
=
x
y
(
1
+
d
y
d
x
)
is
The solution of
(
x
+
y
)
2
(
x
d
y
d
x
+
y
)
=
x
y
(
1
+
d
y
d
x
)
is
Q.
156
Correct
Q.
156
In-correct
Q.
156
Unattempt
Find
s
i
n
θ
, if
θ
is the angle between the vectors
3
^
i
+
^
j
+
2
^
k
and
^
i
+
^
j
+
2
^
k
.
Find
s
i
n
θ
, if
θ
is the angle between the vectors
3
^
i
+
^
j
+
2
^
k
and
^
i
+
^
j
+
2
^
k
.
Q.
157
Correct
Q.
157
In-correct
Q.
157
Unattempt
If
a
and
b
are two vectors of magnitude 2 , each inclined at an
∠
60
∘
, then angle between a and
a
+
b
is
If
a
and
b
are two vectors of magnitude 2 , each inclined at an
∠
60
∘
, then angle between a and
a
+
b
is
Q.
158
Correct
Q.
158
In-correct
Q.
158
Unattempt
If
[
−
2
5
3
−
1
]
[
x
y
]
=
[
1
2
3
4
]
[
3
−
1
]
, then
(
x
,
y
)
is
If
[
−
2
5
3
−
1
]
[
x
y
]
=
[
1
2
3
4
]
[
3
−
1
]
, then
(
x
,
y
)
is
Q.
159
Correct
Q.
159
In-correct
Q.
159
Unattempt
If the product of the matrix
B
=
[
2
6
4
1
0
1
−
1
1
−
1
]
with a matrix
A
has the inverse
C
=
[
−
1
0
1
1
1
3
2
0
2
]
, then
A
−
1
equals
If the product of the matrix
B
=
[
2
6
4
1
0
1
−
1
1
−
1
]
with a matrix
A
has the inverse
C
=
[
−
1
0
1
1
1
3
2
0
2
]
, then
A
−
1
equals
Q.
160
Correct
Q.
160
In-correct
Q.
160
Unattempt
A
and
B
are two matrices such that
A
B
=
B
,
B
A
=
A
, then
A
2
+
B
2
=
A
and
B
are two matrices such that
A
B
=
B
,
B
A
=
A
, then
A
2
+
B
2
=
Q.
161
Correct
Q.
161
In-correct
Q.
161
Unattempt
If
α
,
β
,
γ
are the roots of
x
3
+
a
2
x
+
b
=
0
, then the value of
|
α
β
γ
β
γ
α
γ
α
β
|
is
If
α
,
β
,
γ
are the roots of
x
3
+
a
2
x
+
b
=
0
, then the value of
|
α
β
γ
β
γ
α
γ
α
β
|
is
Q.
162
Correct
Q.
162
In-correct
Q.
162
Unattempt
The value of
|
4
4
4
(
a
+
a
−
1
)
2
(
b
+
b
−
1
)
2
(
c
+
c
−
1
)
2
(
a
−
a
−
1
)
2
(
b
−
b
−
1
)
2
(
c
−
c
−
1
)
2
|
is
The value of
|
4
4
4
(
a
+
a
−
1
)
2
(
b
+
b
−
1
)
2
(
c
+
c
−
1
)
2
(
a
−
a
−
1
)
2
(
b
−
b
−
1
)
2
(
c
−
c
−
1
)
2
|
is
Q.
163
Correct
Q.
163
In-correct
Q.
163
Unattempt
Given that,
P
(
A
)
=
0.1
,
P
(
B
∣
A
)
=
0.6
and
P
(
B
∣
A
C
)
=
0.3
what is
P
(
A
∣
B
)
=
?
Given that,
P
(
A
)
=
0.1
,
P
(
B
∣
A
)
=
0.6
and
P
(
B
∣
A
C
)
=
0.3
what is
P
(
A
∣
B
)
=
?
Q.
164
Correct
Q.
164
In-correct
Q.
164
Unattempt
A card is picked at random from a pack of cards. Given that the picked card is a queen, what is the probability that it is a spade?
A card is picked at random from a pack of cards. Given that the picked card is a queen, what is the probability that it is a spade?
Q.
165
Correct
Q.
165
In-correct
Q.
165
Unattempt
If the occurrence of an event
A
implies that occurrence of an event
B
, the
P
(
A
C
∩
B
C
)
is equal to
If the occurrence of an event
A
implies that occurrence of an event
B
, the
P
(
A
C
∩
B
C
)
is equal to
Q.
166
Correct
Q.
166
In-correct
Q.
166
Unattempt
A certain item is manufactured by 3 factory
F
1
,
F
2
and
F
3
with
30
%
of item made in
F
1
,
20
%
in
F
2
and
50
%
in
F
3
. It is found that
2
%
of the items produced by
F
1
. 3\% of the items produced by
F
2
and
4
%
of the items produced by
F
3
are defective. Suppose that an items selected at random from the stock is found defective. What is the probability that the item came from
F
1
?
A certain item is manufactured by 3 factory
F
1
,
F
2
and
F
3
with
30
%
of item made in
F
1
,
20
%
in
F
2
and
50
%
in
F
3
. It is found that
2
%
of the items produced by
F
1
. 3\% of the items produced by
F
2
and
4
%
of the items produced by
F
3
are defective. Suppose that an items selected at random from the stock is found defective. What is the probability that the item came from
F
1
?
Q.
167
Correct
Q.
167
In-correct
Q.
167
Unattempt
Ram obtained 60 and 85 in first two unit tests. The minimum marks he should get in the third test to have an average of atleast 55 marks is
Ram obtained 60 and 85 in first two unit tests. The minimum marks he should get in the third test to have an average of atleast 55 marks is
Q.
168
Correct
Q.
168
In-correct
Q.
168
Unattempt
Coefficient of variation of two distributions are 60 and 70 , and their standard deviation are 21 and 16 respectively. What are their arithmetic means?
Coefficient of variation of two distributions are 60 and 70 , and their standard deviation are 21 and 16 respectively. What are their arithmetic means?
Q.
169
Correct
Q.
169
In-correct
Q.
169
Unattempt
Consider an experiment
E
in which a box contains 10 identical tickets numbered 1 to 10 and 2 tickets are drawn at random from the box. What is the probability that both the tickets have even number on them?
Consider an experiment
E
in which a box contains 10 identical tickets numbered 1 to 10 and 2 tickets are drawn at random from the box. What is the probability that both the tickets have even number on them?
Q.
170
Correct
Q.
170
In-correct
Q.
170
Unattempt
Which of the following is not a logical statement?
Which of the following is not a logical statement?
Q.
171
Correct
Q.
171
In-correct
Q.
171
Unattempt
A mathematical model written to construct a maximum area rectangle out of a thread of length
10
cm
is given by maximise
l
l
b
.
Such that
2
(
l
+
b
)
=
10
,
l
,
b
>
0
, where
l
and
b
are the length and breadth of the rectangle.
This is not a linear programming problem because
A mathematical model written to construct a maximum area rectangle out of a thread of length
10
cm
is given by maximise
l
l
b
.
Such that
2
(
l
+
b
)
=
10
,
l
,
b
>
0
, where
l
and
b
are the length and breadth of the rectangle.
This is not a linear programming problem because
Q.
172
Correct
Q.
172
In-correct
Q.
172
Unattempt
Laksmi wants to buy few bangles and ear drops. Each bangle costs
₹
5
and each ear drop costs
₹
10. She should buy atleast 6 bangles and atmost 2 ear drops. If she buys
x
bangles and
y
ear drops with minimum expenditure, then the formulation for this linear programming is
Laksmi wants to buy few bangles and ear drops. Each bangle costs
₹
5
and each ear drop costs
₹
10. She should buy atleast 6 bangles and atmost 2 ear drops. If she buys
x
bangles and
y
ear drops with minimum expenditure, then the formulation for this linear programming is
Q.
173
Correct
Q.
173
In-correct
Q.
173
Unattempt
The function
f
(
x
)
=
log
(
x
+
√
x
2
+
1
)
is
The function
f
(
x
)
=
log
(
x
+
√
x
2
+
1
)
is
Q.
174
Correct
Q.
174
In-correct
Q.
174
Unattempt
The number of real roots of the equation
x
4
+
√
x
4
+
20
=
22
is
The number of real roots of the equation
x
4
+
√
x
4
+
20
=
22
is
Q.
175
Correct
Q.
175
In-correct
Q.
175
Unattempt
If the sum of first
n
natural numbers is
1
78
times the sum their cubes, then the value of
n
is
If the sum of first
n
natural numbers is
1
78
times the sum their cubes, then the value of
n
is
Q.
176
Correct
Q.
176
In-correct
Q.
176
Unattempt
If a polygon of
n
sides 275 diagonals, then
n
is equal to
If a polygon of
n
sides 275 diagonals, then
n
is equal to
Q.
177
Correct
Q.
177
In-correct
Q.
177
Unattempt
7
9
+
9
7
is divisible by
7
9
+
9
7
is divisible by
Q.
178
Correct
Q.
178
In-correct
Q.
178
Unattempt
|
1
1
1
a
b
c
a
2
−
b
c
b
2
−
c
a
c
2
−
a
b
|
is equal to
|
1
1
1
a
b
c
a
2
−
b
c
b
2
−
c
a
c
2
−
a
b
|
is equal to
Q.
179
Correct
Q.
179
In-correct
Q.
179
Unattempt
The number of values of
x
in
[
0
,
2
π
]
satisfying the equation
3
cos
2
x
−
10
cos
x
+
7
=
0
is
The number of values of
x
in
[
0
,
2
π
]
satisfying the equation
3
cos
2
x
−
10
cos
x
+
7
=
0
is
Q.
180
Correct
Q.
180
In-correct
Q.
180
Unattempt
lim
x
→
−
∞
2
x
−
1
√
x
2
+
2
x
+
1
is equal to
lim
x
→
−
∞
2
x
−
1
√
x
2
+
2
x
+
1
is equal to
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