[MOCKTEST] - (JLD 2.0) -Combined All Subjects - 17th Jan. (2).pdf

A.
A meter scale of mass m, Young modulus Y and cross section area A is
hanged vertically from ceiling at zero mark. Then separation between
30 cm and 70 cm mark will be (mg/AY is dimensionless) -
B.
C.
D.

A.
If lateral magniﬁcation is – 2 for virtual object for a spherical mirror then -
B.
C.
D.
Convex mirror, Real image
Convex mirror, Virtual image
Concave mirror, Real image
Concave mirror, Virtual image

A.
A vertical triangular plate ABC is placed inside water with side BC parallel
to water surface as shown. The force on one surface of plate by water is
(density of water is ⍴ and atmospheric pressure P0
)
B.
C.
D. 0

A.
B.
C.
D.
mE/eB
mE2
/eB
mE/eB2
mE/Be2
Consider the mass-spectrometer as shown in figure. The electric field
between plates is E V/m, and the magnetic field in both the velocity
selector and in the deflection chamber has magnitude B. Find the radius 'r'
for a singly charged ion of mass 'm' in the deflection chamber :-

A.
Two long parallel glass plates has water between them. Contact angle
between glass and water is zero. If separation between the plates is 'd' (d
is small). Surface tension of water is 'T'. Atmospheric pressure = P0
. Then
pressure inside water just below the air water interface is
B.
C.
D.

A.
In Young's double-slit experiment, both slits are illuminated by a laser
beam and the interference pattern was observed on a screen. If the
viewing screen is moved farther from the slit, what happens to the
interference pattern ?
B.
C.
D.
The pattern gets brighter
The pattern gets brighter and closer together
The pattern gets less bright and farther apart
There is no change in pattern

A.
Two identical capacitors are arranged as shown. Work function of plate 1
is ɸ eV. The emf of battery is ɸ/e. If energy of incident photon is h𝜈 then
maximum kinetic energy of e–
reaching plate 2 is
B.
C.
D.
h𝛎 - ɸ/2
h𝛎 - ɸ
h𝛎 - 2ɸ
h𝛎

A.
B.
C.
D.
Circular region of radius R has uniform magnetic ﬁeld
At t = 0 acceleration of charged particle -

A.
Consider a gas for which diameter of molecules is 𝛔, the gas is at a
pressure P and temperature T and Na
= avogadro's number. The mean free
path along x axis is
B.
C.
D.

A.
Final image of object forms on object. If focal length of lens is 30 cm, then
radius of curvature of mirror is
B.
C.
D.
30 cm
60 cm
15 cm
This situation is not possible

A.
Water is pumped through the hose shown below, from a lower level to an
upper level. Compared to the water at point 1, the water at point 2
B.
C.
D.
has greater speed and greater pressure
has greater speed and less pressure
has less speed and less pressure
has less speed and greater pressure

A.
A scientist claims to have a perfect technique in which he can
spontaneously convert an electron completely into energy in the
laboratory without any other material required. What is the conclusion
about this claim from our current understanding of physics?
B.
C.
D.
This is possible because Einstein's equation says that mass and energy are
equivalent... it is just very difficult to achieve with electrons
This is possible and it is done all the time in the high-energy physics labs.
The scientist is almost correct... except that in converting the electron to
energy, an electron's antiparticle is produced in the process as well
This is not possible because charge conservation would be violated

A.
What are the directions of the magnetic ﬁeld between and outside a pair of
two parallel large sheets carrying currents in the same directions, as
illustrated in Figure (from the side shown) ?
B.
C.
D.
towards us between the plates and away from us
above and below the plates.
toward us above the plates and away from us below
plates and zero between plates.
towards us above and below the plates
and zero between the plates
towards us between the plates and zero
above and below the plates

A.
The main scale of a Vernier calipers is calibrated in mm and 19 divisions of
main scale are equal in length to 20 divisions of Vernier scale. In
measuring the diameter of a cylinder by this instrument, the main scale
reads 35 divisions and 4th division of Vernier scale coincides with a main
scale division. Find radius of the cylinder.
B.
C.
D.
3.42 cm
3.52 cm
1.76 cm
1.78 cm

A.
A balloon of total mass ‘M’ and a ﬁxed size starts coming down with an
acceleration f(f < g). The fraction of the total mass of the balloon which must
be dropped from it so that it starts going up with an acceleration of ‘f’
(assuming negligible air resistance) is
B.
C.
D.
f/(g + f)
2f/(g + f)
(g + f)/f
2f/(g + 2f)

A.
Difference between λkα
and λmin
become twice if accelerating potential
changes from 3100 volt to 12400 volt. Find λkα
(Given hc = 12400 eVÅ)
B.
C.
D.
6 Å
5 Å
7 Å
5.5 Å

A.
By which of the following single load resistance the load bridge should be
replaced so that the power to the load remains unchanged
B.
C.
D.
1.1 Ω
2.4 Ω
3.0 Ω
3.3 Ω

A.
You have two containers of equal volume. One is full of helium gas. The
other holds an equal mass of nitrogen gas. Both gases have the same
pressure. How does the temperature of the helium compare to the
temperature of the nitrogen
B.
C.
D.
Thelium
> Tnitrogen
Thelium
= Tnitrogen
Thelium
< Tnitrogen
Can’t be said

A.
An unpolarized light passes through three polarizing sheets whose
polarizing directions make an angle of 30°, 60° and 30° with y axis in same
sense. What fraction of initial intensity is transmitted by the system ?
B.
C.
D.
1/2
9/32
3/32
9/64

A.
Assuming newton's law of cooling to be valid, body at temperature 50° C
in surrounding of temperature 20°C, achieve steady state with help of
100 W heater. If same body has temperature 35°C in same surrounding,
then power of heater required to maintain steady state
B.
C.
D.
70 W
50 W
100 W
35 W

A.
B.
C.
D.
0.95 V
2.05 V
8.28 V
13.6 V
For a certain hypothetical one electron atom the wavelength (in Å) for the
spectral lines for transition from n = p to n = 1 are given by
(where p > 1), then the ionization potential of this element
must be :- (Take hc = 12420 eV-Å)

A.
A steady force of 120 N is required to push a boat of mass 700 kg through
water at a constant speed of 1 m/s. If the boat is fastened by a spring and
held at 2m from the equilibrium position by a force of 450 N, ﬁnd the angular
frequency of damped SHM -
B.
C.
D.
0.56 rad/s
0.21 rad/s
1.35 rad/s
Motion is overdamped

A.
A uniform solid cylinder of mass m and radius r is set in rotation about its
axis with an angular velocity ω0
, then lowered with its lateral surface onto
a horizontal plane and released. The coefficient of friction between the
cylinder and plane is equal to µ. The time after which the cylinder starts
rolling without slipping is
B.
C.
D.

A.
Consider telecommunication through optical fibres. Which of the following
statements is NOT true ?
B.
C.
D.
Optical fibres can be of graded refractive index
Optical fibres are subjected to electromagnetic interference from
outside
Optical fibres have extremely low transmission loss
Optical fibres may have homogeneous core with a suitable cladding
Cladding
Inner core
TIR at the
boundaries

A.
In RLC circuit as shown in the diagram, the maximum value of charge on
capacitor is
B.
C.
D.
vo
/ωz
vo
R/ωz2
vo
ω/z
vo
ωR/z2

A.
Two damped spring-mass oscillating systems have identical spring
constants and decay times. However, system A's mass mA
is twice system
B's mass mB
. How do their damping constants, b, compare
B.
C.
D.
bA
= 4bB
bA
= 2bB
bA
= bB
bA
= 1/2 bB

A.
Maximum charge on capacitor after switch is closed -
B.
C.
D.
2 CE
4 CE
3 CE
None of these

A.
Unpolarized light of intensity I scattered from point A. Intensity of light
perceive by given observer is
B.
C.
D.
I

A.
Switch B can rest at either 1 or 2 as well as switch A can rest at either
3 or 4 then output will be -
B.
C.
D.
A. B
A. B + B. A
A + B
A. B + A. B

A.
A standing wave is established in single loop. At t = 0, K.E. of string is zero.
Choose the correct option :-
B.
C.
D.
All particles between A and C are losing energy at this instant.
Only A is losing energy among all particles from A to B
All particles between B and C are losing energy at this instant
C is losing energy at this instant.

A.
Graph A-B is an adiabatic curve. Choose the correct statement
B.
C.
D.
Process AC and BC, both are exothermic
Process AC and BC, both are endothermic
Process AC is endothermic, BC is exothermic
Process AC is exothermic, BC is endothermic

A.
B.
C.
D.
1.2 W/m2
1.6 W/m2
0.8 W/m2
0.9 W/m2
Equation of light wave, normally incident on a surface is
Find intensity of light on that surface

A.
For amplitude modulated wave broadcast which of wave are suitable
Wave (A) Am
> AC
; ωm
> ωC
Wave (B) Am
< AC
; ωm > ωC
Wave (C) Am
> AC
; ωm
< ωC
Wave (D) Am
< AC
; ωm
< ωC
B.
C.
D.
A
B
C
D

A.
In L–C–R circuit V, VR
, VL
, VC
are voltage of source, resistance, inductance
and capacitor at any instant then choose the correct relation
B.
C.
D. V + VR
+ VL
+ VC
= 0

A.
On heating a semiconductor
B.
C.
D.
mobility decrease, resistivity decreases
mobility decrease, resistivity increases
mobility increase, resistivity increases
mobility increase, resistivity decreases

A.
Main scale division of vernier calliper is 1 mm and vernier scale division are
in A.P.; 1st
division is 0.95 mm ; 2nd
division is 0.9 mm and so on.
When an object is placed between jaws of vernier calliper, zero of vernier
lies between 3.1 cm and 3.2 cm and 4th
division of vernier coincide with
main scale division. Reading of vernier is -
B.
C.
D.
3.12 cm
3.14 cm
3.15 cm
3.18 cm

A.
In optical bench experiment index error is + 1 cm and – 1 cm, between
object needle and lens, lens and image needle respectively. Observed
values of u and v are 9 cm and 17 cm. Focal length of lens is :-
B.
C.
D.
6.15 cm
5.54 cm
5.88 cm
6.25 cm

A.
A compass needle is free to rotate in a horizontal plane. It’s magnetic
moment is 60Am2
. When it is pointing geographical north, it experiences a
torque of 1.2 × 10–3
Nm due to earth’s magnetic ﬁeld. If earth’s magnetic ﬁeld
in horizontal direction is 40 × 10–6
T, what is declination at that place ?
B.
C.
D.
60o
45o
30o
0o

A. B.
C. D.
Assume that a block of very low shear modulus is ﬁxed on an inclined
plane as shown. Due to elastic forces it will deform. What will be the shape
of the block ?

A.
Which of the following is heavily doped ?
(a) Photo diode
(b) Light emitting diode
(c) Zener diode
(d) Solar cell
B.
C.
D.
All four
(a), (b) & (c)
(b) & (c)
(c) only

1.
Match the column
2.
3.
4.
A ➝ S, B ➝ Q, C ➝ P, D ➝ R
A ➝ R, B ➝ S, C ➝ P, D ➝ Q
A ➝ S, B ➝ R, C ➝ Q, D ➝ P
A ➝ Q, B ➝ P, C ➝ S, D ➝ R
(A) Hallwachs & Lenard (P) Transformers
(B) Franck-Hertz (Q) Microwave
(C) Klystron valve (R) Quantization of energy levels
(D) Nicola Tesla (S) Photoelectric effect

A.
Government has divided the frequency range from 30 Mhz to 60 Mhz
between 20 stations which are independently beaming their signals. Which
of the signals can be beamed by each of the stations
B.
C.
D.
Voice signals only
Music Signals and voice signals only
TV Signals, Music Signals as well as voice signals
None of these

A.
In the transistor circuit shown, assume that the voltage drop between the
base and the emitter is 0.5 V. What will be the ratio of the voltage across
resistances R2
& R1
in order to make this circuit function as a source of
constant current, I = 1 mA ?
B.
C.
D.
4.5
3.0
2.5
2.0

In a digital circuit for three input signals (A, B and C) the ﬁnal output (Y)
should be such that for inputs
the output (Y) should be 0 and for all other cases it should be 1. Which of the
following digital circuits will give such output ?
A. B.
C. D.

A.
We use a simple microscope to magnify an object. The microscope has a
numerical aperture of sin α = 0.24. The object is so small that the resolving
power of the microscope is totally employed. If the diameter of the eye's pupil
is d = 4.0 mm, what is the minimum magnifying power of the microscope?
B.
C.
D.
30
20
15
10

A.
An LC circuit consists of a capacitor and a coil with a large number of turns.
Suppose all the linear dimensions of all elements of the circuit are increased
by a factor of 2 while keeping the number of turns on the coil constant. How
much does the resonant frequency of the circuit change?
B.
C.
D.
becomes two times
becomes half
becomes one fourth
becomes four times

A.
In an experiment to study standing waves, you use a string whose mass
per length is µ = (1.0 ± 0.1) × 10–4
kg/m. You look at the fundamental mode,
whose frequency f is related to the length L and tension T of the string by
the following equation
B.
C.
D.
6250 ± 859.8 Hz
1250 ± 32.3 Hz
6250 ± 546.9 Hz
4875 ± 287 Hz
You make a plot with L on the y-axis and √T on the x-axis, and ﬁnd that the
best ﬁtting line is y = (8.0 ± 0.3) × 10–3
x + (0.2 ± 0.04) in SI units. What is the
value of the frequency of the wave (including the error)? Express your result in
SI unit (Hz)

A.
A wheel is rotating about an axis through its centre at 720 revolutions
per minute. It is acted on by constant torque opposing its motion for 8
seconds till it comes to rest. The number of revolutions made by the
wheel in the 8 seconds is -
B.
C.
D.
48
72
96
120

A.
Two men ‘A’ and ‘B’ are standing on a plank. ‘B’ is at the middle of the plank
and ‘A’ is at the left end of the plank. System is initially at rest and masses are
as shown in ﬁgure. ‘A’ and ‘B’ starts moving such that the position of ‘B’
remains ﬁxed with respect to ground till ‘A’ meets ‘B’. Then the point where A
meets B is located at -
B.
C.
D.
The middle of the plank
30 cm from the left end of the plank
The right end of the plank
None of these

A.
The average density of Earth’s crust 10 km beneath the surface is
2.7 gm/cm3
. The speed of longitudinal seismic waves at that depth is
5.4 km/s. The bulk modulus of Earth’s crust considering its behaviour as
ﬂuid at that depth is
B.
C.
D.
7.9 x 1010
Pa
5.6 x 1010
Pa
7.9 x 107
Pa
1.46 x 107
Pa

A.
Figure shows a cross-section of a large section of an inﬁnite metal sheet
carrying an electric current along its surface. The current per unit length
is J. A current carrying square loop is placed near by the metal sheet such
that the plane of square is perpendicular to the plane of sheet then
B.
C.
D.
Square loop will be attracted towards the sheet
Square loop will be repelled away from the sheet
Square loop will remain in translational equilibrium
Square loop will remain in rotational equilibrium

A.
When an electron in a hydrogen atom makes a transition from 2nd
excited
state to ground state, it emits a photon of frequency f. The frequency of
photon emitted when an electron of Li++
makes a transition from 1st
excited
state to ground state is
B.
C.
D.
243f/32
81f/32
243f/8
27f/8

A.
The ratio Cp
/Cv
for a gas mixture consisting of 8g of helium and 16 g of
oxygen is
B.
C.
D.
23/15
15/23
27/17
17/27

A.
Characteristic X-rays
B.
C.
D.
Have only discrete wavelength which are characteristic of the target
Have all the possible wavelength
Are characteristic of speed of projectile electrons
None of these

A.
A parallel beam of white light falls on a convex lens. Images of blue, red
and green light are formed on other side of the lens at distances x, y and
z respectively from the pole of the lens. Then
B.
C.
D.
x > y > z
x > z > y
y > z > x
None

A.
ABCDE is a regular pentagon of uniform wire. The rate of heat entering
at A and leaving at C is equal. TB
and TD
are temperature of B and D.
Find the temperature TC
B.
C.
D.
3TD
- 2TB
3TD
+ 2TB
Can have any value

A.
B.
C.
D.
Current leads voltage by π/4
Voltage leads Current by π/3
Voltage leads Current by π/6
Current leads voltage by π/12
In an ac circuit, the instantaneous voltage e(t) and current I(t) are given by
e(t) = 5[cos t + √3 sin t] volt
then -

A.
Nine point charges are placed on a cube as shown in the ﬁgure. The
charge q is placed at the body centre whereas all other charges are at the
vertices. The electrostatic potential energy of the system will be -
B.
C.
D.
Positive
Negative
Zero
Depends on sign and value of q

A.
A galvanometer gives full scale reading of 50 mA, when a p.d., across its
terminals is 0.15 V. It can be used as an ammeter of range 0 - 100 A by
connecting a shunt resistance of -
B.
C.
D.
0.00075 Ω
0.00045 Ω
0.0015 Ω
3 Ω

A.
An electrostatic ﬁeld in a region is radially outward with magnitude E = αr,
where α is a constant and r is radial distance. The charge contained in a
sphere of radius R in this region (centred at the origin) is -
B.
C.
D.
2/3 πεo
αR3
4 πεo
αR3
8 πεo
αR3
0

A.
A charged particle enters a uniform magnetic ﬁeld with velocity vector
making an angle of 30° with the magnetic ﬁeld. The particle describes a
helical trajectory of pitch x. The radius of the helix is -
B.
C.
D.
x/2π
x/2√2π
x/2√3π
√3x/2π

A.
Lanthanoid which has the smallest size in +3 state is
B.
C.
D.
Tb
Lu
Er
Ce

Select the correct statement about compressibility factor of 1 mol gas
which is kept inside a 22.4 L vessel at 273 K.
A.
B.
C.
D.
For Z > 1 the pressure of gas will be less than 1 atm.
If 'a' dominates, pressure will be greater than 1 atm.
For Z > 1 the pressure of gas will be more than 1 atm.
If 'b' dominates, pressure will be less than 1 atm.

In the titrations of
I. C6
H5
SO3
H with KOH solution
II. Pyridine with HCl solution
III. Propanoic acid with NaOH solution
The equivalence points would be respectively
A.
B.
C.
D.
Acidic, neutral, basic
All basic
Neutral, acidic, basic
All acidic

A.
Ethyl alcohol is used as a preservative for chloroform because it
B.
C.
D.
Prevents aerial oxidation of chloroform
Removes phosgene by converting it to ethyl carbonate
Prevents decomposition of chloroform
Decomposes phosgene to CO and Cl2

If were possible for hydrogen atom to exist with a positron as the extra
nuclear particle, then the energy of positron in ﬁrst excited state will be
A.
B.
C.
D.
13.6 eV
6.8 eV
3.4 eV
- 3.4 eV

An optically pure compound A, gave an [𝝰]25
D
= +30°, while a mixture of
A and its enantiomer B, gave [𝝰]25
D
= +15°. The ratio of A to B in the
mixture is
A.
B.
C.
D.
1 to 3
2 to 1
3 to 1
1 to 2

Reductive ozonolysis of myrcene, a terpenoid gives how many different
products?
A.
B.
C.
D.
2
5
3
4

A.
End product (A) of the following sequence of reaction is :
B.
C.
D.

A.
The members of group 14 form tetrahalides of the type MX4
.
Which of the following halides cannot be readily hydrolysed by
water?
B.
C.
D.
CX4
SnX4
SiX4
GeX4

A.
Which one of the following statement is NOT true about the effect of
an increase in temperature on the distribution of molecular speeds in
a gas?
B.
C.
D.
The area under the distribution curve remains the same as under the
lower temperature.
The most probable speed increases.
The distribution becomes broader.
The fraction of the molecules with the most probable speed increases.

A.
B.
C.
D.
Ionisation
enthalpy
Electro
negativity
Atomic
radius
Ionisation
enthalpy
Electron gain
enthalpy
Atomic
radius
Electro
negativity
Ionisation
enthalpy
Electro
negativity
Electro
Gain enthalpy
Electro
Gain enthalpy
Atomic
radius
Ionisation
enthalpy
Electro
Gain enthalpy
Atomic
radius
Electro
negativity
P Q R S
Choose the correct combination for the given ﬁgure

A.
Ethylene is produced by C4
H8
⟶ 2C2
H4
the rate constant is 2.3 x 10 s .
Approximately in what time will the molar ratio of ethylene to cyclobutane
in mixture attain the a value equal to one?
(log 2 =0.3,log 3 =0.47)
B.
C.
D.
1700 s
1200 s
1600 s
2000 s

A.
Which one of the following complexes is not expected to exhibit
isomerism?
B.
C.
D. [Ni(NH3
)2
Cl2
]
[Ni(NH3
)4
(H2
O)2
]
[Pt(NH3
)2
Cl2
]
[Ni(en)3
]

A.
In the following reaction, compound Q is obtained from compound P
via an ionic intermediate What is the degree of unsaturation of Q ?
B.
C.
D. 20
16
18
14

A.
B.
C.
D.
The number of bicarbonates that do not exist in solid form among the
following is ___________. LiHCO3
, NaHCO3
,Ca(HCO3
)2
, KHCO3
,
NH4
HCO3
, Mg(HCO3
)2 ,
Ba(HCO3
)2

A.
The prussain blue colour obtained in the Lassaigne’s test for nitrogen
is due to the formation of
B.
C.
D.
Iron (II) hexacyanoferrate (III)
Iron (II) hexacyanoferrate (II)
Iron (III) hexacyanoferrate (II)
Iron (III) hexacyanoferrate (III)

A.
In the following reaction
B.
C.
D.
Phosphorous is both oxidised and reduced
None of these
Only phosphorous is reduced
Phosphorous is not oxidised

A.
The metal extracted by leaching with a cyanide is
B.
C.
D.
Mg
Na
Ag
Cu

Atoms consists of protons, neutrons and electrons. If the mass of neutrons
and electrons were made half and two times respectively to their actual
masses, then the atomic mass of 6
C12
-
A.
B.
C.
D.
will remain approximately the same
will be reduced by 25%
will become approximately two times
will remain approximately half

For which of the following changes, ΔH ≠ ΔU
A.
B.
C.
D.
N2
(g) + O2
(g) ⟶ 2NO(g)
CaCO3
(g) ⟶ CaO(s) + CO2
(g)
H2
(g) + Cl2
(g) ⟶ 2HCl(g)
C(s) + O2
(g) ⟶ CO2
(g)

When KCl crystal is heated into the vapour of potassium, which of the
following is not the correct observation?
A.
B.
C.
D.
The crystal acquires violet colour
The crystal exhibits diamagnetic property
Some of Cl- ions leave the lattice sites which are occupied by one electron
each.
The crystal exhibits paramagnetic property

Which of the following statement is correct regarding the complex
[CuL6
]2+
, one solution is blue and another is green
A.
B.
C.
D.
The blue solution will have higher value of Δ0
No prediction can be done regarding Δ0
The green solution will have higher value of Δ0
Both have same value of Δ0

Which of the following will form tri-bromo derivative of phenol?
A. B.
C. D.

Which of the following species will have highest bond length
A.
B.
C.
D.
O2
-
O2
+
O2
2-
F2

Major product of this reaction is -
A. B.
C. D.

A.
B.
C.
D.
At least one real root between (1, 2)
At least one real root between (0, 1)
At most one real root between (0, 2)
Can’t say exactly about the roots
So, location of the roots of ax2
+ bx + c = 0 is -

A.
The maximum value of sin(cos (tan x)) is
B.
C.
D.
sin 1
1
Sin (cos 1)

A.
If α, β are the roots of the equation x2
- 2x + 4 = 0 then the
value of αn
+ βn
is :
B.
C.
D.

Statement 1 : if two tangents are drawn to an ellipse from a
single point and they are perpendicular to each other,
then locus of the point is always a circle.
statement -1 is true , statement -2 is true but statement -1 is
not the correct explanation for statement -2
statement -1 is true, statement -2 is false
statement -1 is false, statement -2 is true
D. Both statements are true, and statement -1 is the true
explanation of statement -2
C.
B.
A.
from which two perpendicular tangents are drawn , is
x2
+ y2
= (a + b)2
.
locus of that point
Statement 2 : for an ellipse

A.
B.
C.
D.
2(1 - ln2)
2 (ln2 + 1)
1/2 (1 - ln2)
1/2 (1 + ln2)
The area bounded by the curve

For what value of k to the following system of equations
possess a non trivial solution?
x + ky + 3z = 0
3x + ky - 2z = 0
2x + 3y - 4z = 0
D.
C.
B.
A. 11/14
- 33/2
33/20
33/2

A.
Solution of the equation
B.
C.
D.
x ∈ [4, 9]
x ∈ [3, 8]
x ∈ [5, 10]
x ∈ [4, 7]

A.
The statement [ ( p ∧ q ) ➝ p] ➝ ( q ∧ ~ q) is
B.
C.
D.
tautology
fallacy
open statement
neither tautology nor contradiction

1.
If f (x) be such f (x) = max ( |2-x|, 2-x ), x ∈ R
2.
3.
f (x) is discontinuous at one point
f (x) is differentiable ∀ x ∈ R
f (x) is non differentiable at one point only
f (x) is non differentiable at FOUR point
4.

A.
The line
B.
C.
D.
± 1
± √5
± 2
intersects the curve xy = c2
, z = 0
if c is equal to

A.
B.
C.
D.
Value of is equal to -
1/16
1/32
1/8
1/4

D.
C.
B.
A.
The image of the point (1, 2, - 1), on the plane containing
and the point (0, 7, - 7), is -
the line

A.
B.
C.
D.
is equal to -
π
3π/2
5π/2
6π

A.
If rate of change of area of a square S is equal to its side
length, if rate of change of side of S is same as that of a cube
C, then rate of change of volume of C, at the time when its
side length is 2 units, will be
B.
C.
D.
24 units/sec
3 units/sec
12 units/sec
6 units/sec

A.
Minimum distance between the curves
x2
+ y2
+ 4x + 16y + 66 = 0 and y2
= 8x is
B.
C.
D.
3√2 units
5√2 units
4√2 - 2 units
4√2 + 2 units

A.
B.
C.
D.
x4
/4 + 1/5 (x/y)5
= C
x5
/5 + (1/4) (x/y)4
= C
(x/y)5
+ x4
/4 = C
None of these

A.
ABC is a variable triangle such that A is (1, 2),
B and C lie on line y = x + λ (where λ is a variable), then locus
of the orthocenter of triangle ABC is
B.
C.
D.
(x - 1)2
+ y2
= 4
x + y = 3
2x - y = 0
None of these

A.
If sinθ + 2sinФ + 3sinψ = 0
and cosθ + 2cosФ + 3cosψ = 0,
then value of cosθ + 8cos3Ф + 27cos3ψ =
B.
C.
D.
cos(3θ + 3Ф + 3ψ)
18 cos ( θ + Ф + ψ)
6 cos ( θ + Ф + ψ)
36 cos( θ + Ф + ψ)

If f(a) = a2
+ a + 1, then number of solutions
of equation f(a2
) = 3 f(a) is

Let f(x) and g(x) be differentiable functions on R.
If h(x) = f(g(f(x))), where
f(2) = 1, g(1) = 2 and f’(2) = g’(1) = 4, them h’(2) is equal to

The variance of 20 observation is 5.
If each observation is multiplied by 2,
then the new variance of the resulting observations, is

[MOCKTEST] - (JLD 2.0) -Combined All Subjects - 17th Jan. (2).pdf

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