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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The equation (p+
a
V2
)(V−b)= constant. The unit of a is
The equation (p+
a
V2
)(V−b)= constant. The unit of a is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
If L, C and R denote the inductance, capacitance and resistance respectively, the dimensional formula for C2LR is
If L, C and R denote the inductance, capacitance and resistance respectively, the dimensional formula for C2LR is
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Number of particles is given by n=−D
n2−n1
x2−x1
 crossing a unit area perpendicular to X -axis is unit time, where n1 and n2 are number of particles per unit volume for the value of x meant to x2 and x1. Find dimensions of D called as diffusion constant.
Number of particles is given by n=−D
n2−n1
x2−x1
 crossing a unit area perpendicular to X -axis is unit time, where n1 and n2 are number of particles per unit volume for the value of x meant to x2 and x1. Find dimensions of D called as diffusion constant.
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A body starts from the origin and moves along the x-axis such that velocity at any instant is given by (4t3−2t) , where t is in second and velocity is in m/s. What is the acceleration of the particle, when it is 2m from the origin?
A body starts from the origin and moves along the x-axis such that velocity at any instant is given by (4t3−2t) , where t is in second and velocity is in m/s. What is the acceleration of the particle, when it is 2m from the origin?
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The acceleration-time graph of a body is shown below

The most probable velocity-time graph of the body is
The acceleration-time graph of a body is shown below

The most probable velocity-time graph of the body is
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Two seconds after projection, a projectile is travelling in a direction inclined at 30° to the horizontal. After one more sec, it is travelling horizontally, the magnitude and direction of its velocity are
Two seconds after projection, a projectile is travelling in a direction inclined at 30° to the horizontal. After one more sec, it is travelling horizontally, the magnitude and direction of its velocity are
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
The kinetic energy k of a particle moving along a circle of radius R depends on the distance covered. It is given as KE = as‌2 , where a is a constant. The force acting on the particle is
The kinetic energy k of a particle moving along a circle of radius R depends on the distance covered. It is given as KE = as‌2 , where a is a constant. The force acting on the particle is
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force F = 10 N, then tension T1=
Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force F = 10 N, then tension T1=
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
The acceleration of block B in the figure will be
The acceleration of block B in the figure will be
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
A body A of mass 1 kg rests on a smooth surface. Another body B of mass 0.2 kg is placed over A as shown. The coefficient of static friction between A and B is 0.15. B will begin to slide on A, if A is pulled with a force greater than

A body A of mass 1 kg rests on a smooth surface. Another body B of mass 0.2 kg is placed over A as shown. The coefficient of static friction between A and B is 0.15. B will begin to slide on A, if A is pulled with a force greater than

Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
A particle which is constrained to move along the x -axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin is F(x)=−kx+ax3 Here, k and a are positive constants. For x≥0 the functional from of the potential energy U(x) of the particle is
A particle which is constrained to move along the x -axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin is F(x)=−kx+ax3 Here, k and a are positive constants. For x≥0 the functional from of the potential energy U(x) of the particle is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Four thin rods of same mass M and same length I, form a square as shown in figure Moment of inertia of this system about an axis through centre O and perpendicular to plane is

Four thin rods of same mass M and same length I, form a square as shown in figure Moment of inertia of this system about an axis through centre O and perpendicular to plane is

Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
A wheel is rotating with an angular speed of 20 rad/s. It is stopped to rest by applying a constant torque in 4s. If the moment of inertia of the wheel about its axis is 0.20 kg/m‌2 , then the work done by the torque in two seconds will be
A wheel is rotating with an angular speed of 20 rad/s. It is stopped to rest by applying a constant torque in 4s. If the moment of inertia of the wheel about its axis is 0.20 kg/m‌2 , then the work done by the torque in two seconds will be
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
The strain stress curves of three wires of different materials are shown in the figure. P. Q and R are the elastic limits of the wires. The figure shows that

The strain stress curves of three wires of different materials are shown in the figure. P. Q and R are the elastic limits of the wires. The figure shows that

Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Several spherical drops of a liquid of radius r coalesce to form a single drop to radius R If T is surface tension and V is volume under consideration, then the release o f energy is
Several spherical drops of a liquid of radius r coalesce to form a single drop to radius R If T is surface tension and V is volume under consideration, then the release o f energy is
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Two substances of densities ρ1 and ρ2 are mixed in equal volume and the relative density of mixture is 4. When they are mixed in equal masses, the relative density of the mixture is 3. The values of ρ1 and ρ2 are
Two substances of densities ρ1 and ρ2 are mixed in equal volume and the relative density of mixture is 4. When they are mixed in equal masses, the relative density of the mixture is 3. The values of ρ1 and ρ2 are
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
The pressure p, volume V and temperature T of a gas in the jar A and the other gas in the jar B at pressure 2p, volume
V
4
 and temperature 2T, then the ratio of the number of molecules in the jar A and B will be
The pressure p, volume V and temperature T of a gas in the jar A and the other gas in the jar B at pressure 2p, volume
V
4
 and temperature 2T, then the ratio of the number of molecules in the jar A and B will be
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Two identical containers each of volume V0 are joined by a small pipe. The containers contain identical gases at temperature T0 and pressure P0. One container is heated to temperature 2T0 while maintaining the other at the same temperature. The common pressure of the gas is P and n is the number of moles of gas in container at temperature 2T0
Two identical containers each of volume V0 are joined by a small pipe. The containers contain identical gases at temperature T0 and pressure P0. One container is heated to temperature 2T0 while maintaining the other at the same temperature. The common pressure of the gas is P and n is the number of moles of gas in container at temperature 2T0
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
An experiment is carried on a fixed amount of gas at different temperature and at high pressure such that it deviates from the ideal gas behaviour. The variation of
pV
RT
 with p is shown in the diagram. The correct variation will correspond to

An experiment is carried on a fixed amount of gas at different temperature and at high pressure such that it deviates from the ideal gas behaviour. The variation of
pV
RT
 with p is shown in the diagram. The correct variation will correspond to

Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Liquid is filled in a flask upto a certain point.
When, the flask is heated, the level of the liquid
Liquid is filled in a flask upto a certain point.
When, the flask is heated, the level of the liquid
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Two rods (one semi-circular and other straight) of same material and of same cross-sectional area are joined as shown in the figure. The points A and B are maintained at different temperature. The ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a cross-section of the straight rod in a given time is

Two rods (one semi-circular and other straight) of same material and of same cross-sectional area are joined as shown in the figure. The points A and B are maintained at different temperature. The ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a cross-section of the straight rod in a given time is

Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Two particles executes SHM of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions. Each time their displacement is half of their amplitude. The phase difference between them is
Two particles executes SHM of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions. Each time their displacement is half of their amplitude. The phase difference between them is
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
In the following circuit reading of voltmeter V is

In the following circuit reading of voltmeter V is

Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The amount of work done in increasing the voltage across the plates of a capacitor from 5V to 10 V is W. The work done in increasing it from 10 V to 5 V will be
The amount of work done in increasing the voltage across the plates of a capacitor from 5V to 10 V is W. The work done in increasing it from 10 V to 5 V will be
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The de-Broglie wavelength of a neutron at 27°C is X. What will be its wavelength at 927°C ?
The de-Broglie wavelength of a neutron at 27°C is X. What will be its wavelength at 927°C ?
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
The minimum intensity of light to be detected by human eye is 10−10W∕m2 . The number of photons of wavelength 5.6×10−7m entering the eye, with pupil area 10−6m2 , per second for vision will be nearly
The minimum intensity of light to be detected by human eye is 10−10W∕m2 . The number of photons of wavelength 5.6×10−7m entering the eye, with pupil area 10−6m2 , per second for vision will be nearly
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
In a photoemissive cell with exciting wavelength λ, the fastest electron has speed v.
If the exciting wavelength is changed by
3λ
4
 , the speed of the fastest emitted electron will be
In a photoemissive cell with exciting wavelength λ, the fastest electron has speed v.
If the exciting wavelength is changed by
3λ
4
 , the speed of the fastest emitted electron will be
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The ratio of the wavelength for 2 → 1 transition in Li‌+ , He‌+ and H is
The ratio of the wavelength for 2 → 1 transition in Li‌+ , He‌+ and H is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The fraction of atoms of radioactive element that decays in 6 days is 7/8. The fraction that decays in 10 days will be
The fraction of atoms of radioactive element that decays in 6 days is 7/8. The fraction that decays in 10 days will be
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Nucleus of mass number A, originally at rest, emits the a-particle with speed v. The daughter nucleus recoils with a speed of
Nucleus of mass number A, originally at rest, emits the a-particle with speed v. The daughter nucleus recoils with a speed of
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
When ‌90Th228 transforms to ‌83Bi212, then the number to the emitted α and β -particles is, respectively
When ‌90Th228 transforms to ‌83Bi212, then the number to the emitted α and β -particles is, respectively
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Two Cu64 nuclei touch each other. The electrostatics repulsive energy of the system will be
Two Cu64 nuclei touch each other. The electrostatics repulsive energy of the system will be
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of 20cm from the centre of the magnet. If BH=0.3×10−4Wb∕m2 then the magnetic moment of the magnet is

A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of 20cm from the centre of the magnet. If BH=0.3×10−4Wb∕m2 then the magnetic moment of the magnet is

Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A magnet makes 40 oscillations per minute ata place having magnetic field intensity BH=0.1×10−5. At another place, it takes 2.5s to complete one vibration. The value of the earth's horizontal field at the place
A magnet makes 40 oscillations per minute ata place having magnetic field intensity BH=0.1×10−5. At another place, it takes 2.5s to complete one vibration. The value of the earth's horizontal field at the place
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
The coereivity of a small bar magnet is 4×103A∕m. It is inserted inside a solenoid of 500 turns and length 1m to demagnetise it. The amount of current to be passed through the solenoid will be
The coereivity of a small bar magnet is 4×103A∕m. It is inserted inside a solenoid of 500 turns and length 1m to demagnetise it. The amount of current to be passed through the solenoid will be
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
A wire in the form of a square of side a carries a current i. Then, the magnetic induction at the centre of the square wire is (magnetic permeability of free space =µ0 ).

A wire in the form of a square of side a carries a current i. Then, the magnetic induction at the centre of the square wire is (magnetic permeability of free space =µ0 ).

Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Given,
R1=1Ω
C1=2µF
R2=2Ω
C2=4µF
The time constant (µs) for the circuits I, II, III are respectively
Given,
R1=1Ω
C1=2µF
R2=2Ω
C2=4µF

The time constant (µs) for the circuits I, II, III are respectively
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Two blocks A and B of masses 2m and m, respectively, are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively

Two blocks A and B of masses 2m and m, respectively, are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively

Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm, if the plane surface is silvered. The image will form at
A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm, if the plane surface is silvered. The image will form at
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A biconvex lens of focal length f forms a circular image of sun of radius r in focal plane.
Then,
A biconvex lens of focal length f forms a circular image of sun of radius r in focal plane.
Then,
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
Given a sample of radium -226 having half-life of 4 days. Find, the probability, a nucleus disintegrates after 2 half lives.
Given a sample of radium -226 having half-life of 4 days. Find, the probability, a nucleus disintegrates after 2 half lives.
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Graph of position of image versus positron of point object from a convex lens is shown. Then, focal length of the lens is

Graph of position of image versus positron of point object from a convex lens is shown. Then, focal length of the lens is

Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x'. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then, length of BO is

A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x'. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then, length of BO is

Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
A system of binary stars of masses mA and mBare moving in circular orbits of radii rA and rB respectively. If TA and TB are the time periods of masses mA and mB respectively, then
A system of binary stars of masses mA and mBare moving in circular orbits of radii rA and rB respectively. If TA and TB are the time periods of masses mA and mB respectively, then
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
A solid sphere of mass M , radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains I. Then, radius of the disc will be
A solid sphere of mass M , radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains I. Then, radius of the disc will be
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A student performs an experiment for determination of g(=
4π2l
T2
),l≈1m, and he commits an error of Δ l. For T he takes the time of n oscillations with the stop watch of least count ΔT and he commits a human error of 0.1 s. For which of the following data, the measurement of g will be most accurate?
A student performs an experiment for determination of g(=
4π2l
T2
),l≈1m, and he commits an error of Δ l. For T he takes the time of n oscillations with the stop watch of least count ΔT and he commits a human error of 0.1 s. For which of the following data, the measurement of g will be most accurate?
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The circular divisions of shown screw gauge are 50. It moves 0.5 mm on main scale in one rotation. The diameter of the ball is

The circular divisions of shown screw gauge are 50. It moves 0.5 mm on main scale in one rotation. The diameter of the ball is

Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
Consider the cylindrical element as shown in the figure. Current flowing the through element is I and resistivity of material of the cylinder is p. Choose the correct option out the following.

Consider the cylindrical element as shown in the figure. Current flowing the through element is I and resistivity of material of the cylinder is p. Choose the correct option out the following.

Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Ideal gas is contained in a thermally insulated and rigid container and it is heated through a resistance 100 Ω by passing a current of 1 A for five minutes, then change in internal energy of the gas is
Ideal gas is contained in a thermally insulated and rigid container and it is heated through a resistance 100 Ω by passing a current of 1 A for five minutes, then change in internal energy of the gas is
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Two litre of water at initial temperature of 27°C is heated by a heater of power 1 kW. if the lid of kettle is opened, then heat is lost at the constant rate of 160 J/s. Find, the time required to raise the temperature of water to 77°C with the lid open (specific heat of water 4.2 kJ/kg)
Two litre of water at initial temperature of 27°C is heated by a heater of power 1 kW. if the lid of kettle is opened, then heat is lost at the constant rate of 160 J/s. Find, the time required to raise the temperature of water to 77°C with the lid open (specific heat of water 4.2 kJ/kg)
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
An open organ pipe resonated with frequency f1 and 2 nd harmonic. Now, one end is closed and the frequency is slowly increased, then it resonates with frequency f2 and n th harmonicthen,
An open organ pipe resonated with frequency f1 and 2 nd harmonic. Now, one end is closed and the frequency is slowly increased, then it resonates with frequency f2 and n th harmonicthen,
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
Which of the following process does not occur through convection
Which of the following process does not occur through convection
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
T1 is the time period of simple pendulum. The point of suspension moves vertically upwards according to y=kt2, where k=1m∕s2. New time period is T2, then
T12
T22
=?(g=10m∕s2)
T1 is the time period of simple pendulum. The point of suspension moves vertically upwards according to y=kt2, where k=1m∕s2. New time period is T2, then
T12
T22
=?(g=10m∕s2)
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
In the figure shown, a cubical block is held stationary against a rough wall by applying force ‘F', then incorrect statement among the following is

In the figure shown, a cubical block is held stationary against a rough wall by applying force ‘F', then incorrect statement among the following is

Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
Three infinitely charged sheets are kept parallel to x - y plane having charge densities as shown. Then, the value of electric field at 'P' is

Three infinitely charged sheets are kept parallel to x - y plane having charge densities as shown. Then, the value of electric field at 'P' is

Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
A circular disc of radius
R
3
 is cut from a circular disc of radius R and mass 9M as shown. Then, moment of inertia of remaining disc about ′O′ perpendicular to the plane of the disc is

A circular disc of radius
R
3
 is cut from a circular disc of radius R and mass 9M as shown. Then, moment of inertia of remaining disc about ′O′ perpendicular to the plane of the disc is

Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
A cylindrical conducting rod is kept with its axis along positive z-axis, where a uniform magnetic field exists parallel to z-axis. The current induced in the cylinder is
A cylindrical conducting rod is kept with its axis along positive z-axis, where a uniform magnetic field exists parallel to z-axis. The current induced in the cylinder is
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Ratio of area of hole to beaker is 0.1. Height of liquid in beaker is 3m, and hole is at the height of 52.5 cm from the bottom of beaker, find the square of the velocity of liquid coming out from the hole
Ratio of area of hole to beaker is 0.1. Height of liquid in beaker is 3m, and hole is at the height of 52.5 cm from the bottom of beaker, find the square of the velocity of liquid coming out from the hole
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Temperature of a gas is 20°C and pressure is changed from 1.01×105Pa to 1.165×105Pa. Ifvolume is decreased isothermally by 10%. Bulk modulus of gas is
Temperature of a gas is 20°C and pressure is changed from 1.01×105Pa to 1.165×105Pa. Ifvolume is decreased isothermally by 10%. Bulk modulus of gas is
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
The atomic number (Z) of an element whose ka wavelength is λ is 11. The atomic number of an element whose ka , wavelength is 4λ, is equal to
The atomic number (Z) of an element whose ka wavelength is λ is 11. The atomic number of an element whose ka , wavelength is 4λ, is equal to
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Which of the following compounds will not react with Mg metal in the presence of ether to give a Grignard reagent?
Which of the following compounds will not react with Mg metal in the presence of ether to give a Grignard reagent?
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
How many enols (including stereo isomers) exist for 3-hexanone?
How many enols (including stereo isomers) exist for 3-hexanone?
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Which of the following processes does not yield a primary amine?
Which of the following processes does not yield a primary amine?
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
An aqueous solution of phosphoric acid, H3PO4 being titrated has molarity equal to 0.25 M.
Which of the following could be normality of this solution?
An aqueous solution of phosphoric acid, H3PO4 being titrated has molarity equal to 0.25 M.
Which of the following could be normality of this solution?
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
For the reaction represented by the equation,
CX4+2O2 ––––🢖CO2+2X2O
9.0 g of CX4 completely reacts with 1.74 g of oxygen. The approximate molar mass of X will be
For the reaction represented by the equation,
CX4+2O2 ––––🢖CO2+2X2O
9.0 g of CX4 completely reacts with 1.74 g of oxygen. The approximate molar mass of X will be
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Which of the following species contain an element in an oxidation state that is not a whole number?
Which of the following species contain an element in an oxidation state that is not a whole number?
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Gold is extracted by hydrometallurgical process, based on its property
Gold is extracted by hydrometallurgical process, based on its property
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Due to lanthanide contraction
Due to lanthanide contraction
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
The element which forms ions in dimeric state is
The element which forms ions in dimeric state is
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
The high oxidising power of fluorine in due to its
The high oxidising power of fluorine in due to its
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Which one of the following is the weakest acid?
Which one of the following is the weakest acid?
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Find the pressure of a sample of CCl‌4 if 1.0 mole occupies 35L at 77°C. Assume CCl‌4 obeys the van der Waals equation of state.
(a=20L2mol−2‌atm and b=0.14Lmol−1)
Find the pressure of a sample of CCl‌4 if 1.0 mole occupies 35L at 77°C. Assume CCl‌4 obeys the van der Waals equation of state.
(a=20L2mol−2‌atm and b=0.14Lmol−1)
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
KBr crystallises in NaCl type of crystal lattice and its density is 2.75 g/cm‌3 . Number of unit cells of KBr present in a 1.00 mm‌3 grain of KBr are
KBr crystallises in NaCl type of crystal lattice and its density is 2.75 g/cm‌3 . Number of unit cells of KBr present in a 1.00 mm‌3 grain of KBr are
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A body centre cubic lattice is made up of two different types of atoms A and B. Atom A occupies the body centre and B occupying the corner positions. One of the corners is left unoccupied per unit, cell. Empirical formula of such a solid is
A body centre cubic lattice is made up of two different types of atoms A and B. Atom A occupies the body centre and B occupying the corner positions. One of the corners is left unoccupied per unit, cell. Empirical formula of such a solid is
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
A substance is carried out through the following transformations

The equation ΔS1+ΔS2=ΔS3+ΔS4 +ΔS5
A substance is carried out through the following transformations

The equation ΔS1+ΔS2=ΔS3+ΔS4 +ΔS5
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
At 298 K the entropy of rhombic sulphur is 32.04 J/mol K and that of monoclinic sulphur is 32.68 J/mol K. The heat of their combustionare respectively -298246 and -297948 J mol‌−1 .
ΔG for the reaction; Srhomblc––––––🢖Smonoclinic will be
At 298 K the entropy of rhombic sulphur is 32.04 J/mol K and that of monoclinic sulphur is 32.68 J/mol K. The heat of their combustionare respectively -298246 and -297948 J mol‌−1 .
ΔG for the reaction; Srhomblc––––––🢖Smonoclinic will be
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
An atomic orbital has two angular nodes and one radial node. It is a
An atomic orbital has two angular nodes and one radial node. It is a
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Which of the following sets of quantum numbers could represent the last electron added to complete the electron configuration for a ground state atom of Br(Z = 35) according to the Aufbau principle, n;l;ml;ms
Which of the following sets of quantum numbers could represent the last electron added to complete the electron configuration for a ground state atom of Br(Z = 35) according to the Aufbau principle, n;l;ml;ms
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
Order the species CF+,CF and CF− according to increasing C−F bond length
Order the species CF+,CF and CF− according to increasing C−F bond length
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
When the substances CCl4,CH4 and CF4 are arranged is order of increasing boiling point, what is the correct order?
When the substances CCl4,CH4 and CF4 are arranged is order of increasing boiling point, what is the correct order?
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
The nitrite ion in represented by
(I) [O−N=O]−
(II) [N=O−O]−
Which of the structures represents possible resonance forms of this ion?
The nitrite ion in represented by
(I) [O−N=O]−
(II) [N=O−O]−
Which of the structures represents possible resonance forms of this ion?
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Equal moles of NO2(g) and NO(g) are to be placed in a container to produce N2O according to the reaction,
NO2+NO⇌N2O+O2 ;KC=0.914
How many moles of NO2 and NO be placed in the 5.0L container to have an equilibrium concentration of N2O to be 0.05M?
Equal moles of NO2(g) and NO(g) are to be placed in a container to produce N2O according to the reaction,
NO2+NO⇌N2O+O2 ;KC=0.914
How many moles of NO2 and NO be placed in the 5.0L container to have an equilibrium concentration of N2O to be 0.05M?
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The rate of a chemical reaction involving liquids only will not be influenced by the
The rate of a chemical reaction involving liquids only will not be influenced by the
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Consider the following reaction in aqueous solution.
5Br−(aq)+BrO3−(aq)+6H+(aq) –––––––🢖3Br2(aq)+3H2O(l)
If the rate of appearance of Br2 at a particular moment during the reaction is 0.025Ms−1, what is the rate of disappearance (in Ms−1 ) of Br− at that moment?
Consider the following reaction in aqueous solution.
5Br−(aq)+BrO3−(aq)+6H+(aq) –––––––🢖3Br2(aq)+3H2O(l)
If the rate of appearance of Br2 at a particular moment during the reaction is 0.025Ms−1, what is the rate of disappearance (in Ms−1 ) of Br− at that moment?
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Shown below are four possible synthesis of propionaldehyde. Which one would not work?
Shown below are four possible synthesis of propionaldehyde. Which one would not work?
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
The compound C6H5‌CH=N−N=CHC6H5 is produced by the reaction of an axcess of benzaldehyde with which compound?
The compound C6H5‌CH=N−N=CHC6H5 is produced by the reaction of an axcess of benzaldehyde with which compound?
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Which of the following statements is not true for acetaldehyde?
Which of the following statements is not true for acetaldehyde?
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Which of the following compounds does notundergo mutarotation?
Which of the following compounds does notundergo mutarotation?
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
If two isomers have been classified correctly as anomers, they may be also called
If two isomers have been classified correctly as anomers, they may be also called
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Which two of the following aldohexoses give the same osazone derivative?

Which two of the following aldohexoses give the same osazone derivative?

Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Which of the following describes the overall three dimensional folding of a polypeptide?
Which of the following describes the overall three dimensional folding of a polypeptide?
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
What is incorrect regarding natural rubber?
What is incorrect regarding natural rubber?
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Which one of the following is the structure of polyacrylonitrile?
Which one of the following is the structure of polyacrylonitrile?
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Which of the aromatic compounds react fastest with methoxide ion?
Which of the aromatic compounds react fastest with methoxide ion?
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Which reagents would you use to carry out the reaction
Ethyl benzene –––––🢖 2 and 4- chloro 1- ethylbenzene?
Which reagents would you use to carry out the reaction
Ethyl benzene –––––🢖 2 and 4- chloro 1- ethylbenzene?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
What represents the best method for producing salicylic acid ?
What represents the best method for producing salicylic acid ?
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Which pair is usually required for a nucleophilic aromatic substitution reaction?
Which pair is usually required for a nucleophilic aromatic substitution reaction?
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
What reaction does hydroquinone undergo most readily ?
What reaction does hydroquinone undergo most readily ?
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
In physical adsorption, the adsorbent and adsorbate are held together by the
In physical adsorption, the adsorbent and adsorbate are held together by the
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
Potassium stearate is obtained by the saponification of an oil or fat. It has formula CH3−(CH2)16−COOK. The molecule has alyophobic terminal CH3 and a lyophilic terminal - COOK. Potassium stearate is an example of
Potassium stearate is obtained by the saponification of an oil or fat. It has formula CH3−(CH2)16−COOK. The molecule has alyophobic terminal CH3 and a lyophilic terminal - COOK. Potassium stearate is an example of
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
Suppose that gold is being plated on to another metal in an electrolytic cell. The half-cell reaction producing the Au(s) is
AuCl4−→Au(s)+4Cl−−3e−
If a 0.30 A current runs for 15.00 min, what mass of Au(s) will be plated, assuming all the electrons are used in the reduction of AuCl4− ?
The Faraday constant is 96485 C/mol and molar mass of Au is 197.
Suppose that gold is being plated on to another metal in an electrolytic cell. The half-cell reaction producing the Au(s) is
AuCl4−→Au(s)+4Cl−−3e−
If a 0.30 A current runs for 15.00 min, what mass of Au(s) will be plated, assuming all the electrons are used in the reduction of AuCl4− ?
The Faraday constant is 96485 C/mol and molar mass of Au is 197.
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
What is the cell potential (standard emf, E° ) for the reaction below?
[E°( Fe2+(aq)Fe)=0.44V and E°H−)=+0.4V]
2Fe(s)+O2(g)+2H2O(l)⇋2Fe2+(aq)+4OH−(aq)
What is the cell potential (standard emf, E° ) for the reaction below?
[E°( Fe2+(aq)Fe)=0.44V and E°H−)=+0.4V]
2Fe(s)+O2(g)+2H2O(l)⇋2Fe2+(aq)+4OH−(aq)
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
If in a solvent, n simple molecules of solute combine to form an associated molecule, α is the degree of association, the van't Hoff s factor is equal to
If in a solvent, n simple molecules of solute combine to form an associated molecule, α is the degree of association, the van't Hoff s factor is equal to
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
If the osmotic pressure of a 0.010 M aqueous solution of sucrose at 27°C is 0.25 atm, then the osmotic pressure of a 0.010 M aqueous solution of NaCl at 27°C is
If the osmotic pressure of a 0.010 M aqueous solution of sucrose at 27°C is 0.25 atm, then the osmotic pressure of a 0.010 M aqueous solution of NaCl at 27°C is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
A certain radioactive isotope ZAX (half-life =10 days decays to give Z−2A−4X. If 1.0g of X is kept in a sealed vessel find the volume of He accumulated at STP in 20 days. Molar mass of ZAX=253u
A certain radioactive isotope ZAX (half-life =10 days decays to give Z−2A−4X. If 1.0g of X is kept in a sealed vessel find the volume of He accumulated at STP in 20 days. Molar mass of ZAX=253u
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
Raw milk sours in about 4 h at 27°C, but in about 48 h in a refrigerator at 17°C. What is the activation energy for souring of milk?
Raw milk sours in about 4 h at 27°C, but in about 48 h in a refrigerator at 17°C. What is the activation energy for souring of milk?
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
If 200 mL of a 0.031 molar solution of H2SO4 are added to 84 mL of a 0.150 M KOH solution, what is the pH of the resulting solution?
If 200 mL of a 0.031 molar solution of H2SO4 are added to 84 mL of a 0.150 M KOH solution, what is the pH of the resulting solution?
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
(SiH3)3N is
(SiH3)3N is
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Solid N2O5 is
Solid N2O5 is
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Which of the following phosphorus is the most reactive?
Which of the following phosphorus is the most reactive?
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
The activity of alkaline earth metals as reducing agent
The activity of alkaline earth metals as reducing agent
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
Baking powder is more commonly used to make cakes or bread “rise". Filler in baking powder is
Baking powder is more commonly used to make cakes or bread “rise". Filler in baking powder is
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Strongest conjugate base is
Strongest conjugate base is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
Out of the following redox reactions
I.NH4NO3
Δ
––––––🢖
N2O+2H2O
II.NH4NO2
Δ
––––––🢖
N2+2H2O
III.PCl5
Δ
––––––🢖
PCl3+Cl2
disproportionation is not shown in
Out of the following redox reactions
I.NH4NO3
Δ
––––––🢖
N2O+2H2O
II.NH4NO2
Δ
––––––🢖
N2+2H2O
III.PCl5
Δ
––––––🢖
PCl3+Cl2
disproportionation is not shown in
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
The complex [Fe(H2O)5‌NO]2+ is formed in thering test for nitrate ion when freshly prepared FeSO ‌4 solution is added to aqueous solution of NO3− followed by addition of Conc. H2SO4 . This complex is formed by charge transfer in which
The complex [Fe(H2O)5‌NO]2+ is formed in thering test for nitrate ion when freshly prepared FeSO ‌4 solution is added to aqueous solution of NO3− followed by addition of Conc. H2SO4 . This complex is formed by charge transfer in which
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Which pair is different from the others?
Which pair is different from the others?
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
The dominant factor in determining the IE of the elements on moving down the groups is its
The dominant factor in determining the IE of the elements on moving down the groups is its
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Valence electrons in the element A are 3 and that in element B are 6. Most probable compound formed from A and B is
Valence electrons in the element A are 3 and that in element B are 6. Most probable compound formed from A and B is
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Which of the following in the strongest base?
Which of the following in the strongest base?
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
Which of the following best define the term hyperconjugation ?
Which of the following best define the term hyperconjugation ?
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
If a=cos‌
2π
7
+i‌sin‌
2π
7
, then the quadratic equation whose roots are α=a+a2+a4 and β=a3+a5+a6, is
If a=cos‌
2π
7
+i‌sin‌
2π
7
, then the quadratic equation whose roots are α=a+a2+a4 and β=a3+a5+a6, is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
If 1,ω,ω2,.....ωn−1 are n,nth roots of unity, thenthe value of (9−ω).(9−ω2).(9−ω3)...(9−ωn−1) will be
If 1,ω,ω2,.....ωn−1 are n,nth roots of unity, thenthe value of (9−ω).(9−ω2).(9−ω3)...(9−ωn−1) will be
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Middle term in the expansion of (x2+
1
x2
+2)n is
Middle term in the expansion of (x2+
1
x2
+2)n is
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The common tangent of the parabolas y2=4x and x2=−8y is
The common tangent of the parabolas y2=4x and x2=−8y is
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
10 different toys are to be distributed among 10 children. Total number of ways of distributing these toys, so that exactly two children do not get any toy, is
10 different toys are to be distributed among 10 children. Total number of ways of distributing these toys, so that exactly two children do not get any toy, is
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The variance of first n natural numbers is
The variance of first n natural numbers is
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
A circle of radius 2 is touching both the axes and a circle with centre (6, 5). The distance between their centres is
A circle of radius 2 is touching both the axes and a circle with centre (6, 5). The distance between their centres is
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
S = {1,2,3,... 20} is to be partitioned into four sets A, B, C and D of equal size. The number of ways it can be done, is
S = {1,2,3,... 20} is to be partitioned into four sets A, B, C and D of equal size. The number of ways it can be done, is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Out of 50 tickets numbered 0 0 ,01,02,... ,49, one ticket is drawn randomly, the probability of the ticket having the product of its digits 7, given that the sum of the digits is 8, is
Out of 50 tickets numbered 0 0 ,01,02,... ,49, one ticket is drawn randomly, the probability of the ticket having the product of its digits 7, given that the sum of the digits is 8, is
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
If the term free from x in the expansion of (√x−
k
x2
)10 is 405, then the value of k is
If the term free from x in the expansion of (√x−
k
x2
)10 is 405, then the value of k is
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
If tan‌
α
2
, and tan‌
β
2
 are the rootsof8x2−26x+15=0, then cos(α+β) is equal to
If tan‌
α
2
, and tan‌
β
2
 are the rootsof8x2−26x+15=0, then cos(α+β) is equal to
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
If acos3α+3a‌cos‌α‌sin2‌α=m and asin3α+3acos2α‌sin‌α=n then (m+n)2∕3+(m−n)2∕3 is equal to
If acos3α+3a‌cos‌α‌sin2‌α=m and asin3α+3acos2α‌sin‌α=n then (m+n)2∕3+(m−n)2∕3 is equal to
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
In a triangle, the lengths of two larger sides are 10 cm and 9 cm. If the angles of the triangle are in AP , then the length of the third side is
In a triangle, the lengths of two larger sides are 10 cm and 9 cm. If the angles of the triangle are in AP , then the length of the third side is
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
The distance of the point (3, 5) from 2x+3y−14=0 measured parallel to x−2y=1 is
The distance of the point (3, 5) from 2x+3y−14=0 measured parallel to x−2y=1 is
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
If the line
x
a
+
y
b
=1 moves such that
1
a2
+
1
b2
=
1
c2
, then the locus of the foot of the perpendicular from the origin to the line is
If the line
x
a
+
y
b
=1 moves such that
1
a2
+
1
b2
=
1
c2
, then the locus of the foot of the perpendicular from the origin to the line is
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
A rhombus is inscribed in the region common to the two circles x2+y2−4x−12=0 and x2+y2+4x−12=0 with two of its vertices on the line joining the centres of the circles. The area of rhombus is
A rhombus is inscribed in the region common to the two circles x2+y2−4x−12=0 and x2+y2+4x−12=0 with two of its vertices on the line joining the centres of the circles. The area of rhombus is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
If the line y−√3x+3=0 cuts the parabola y2=x+2 at A and B, then PA.PB is equal to where [where P=(√3,0)]
If the line y−√3x+3=0 cuts the parabola y2=x+2 at A and B, then PA.PB is equal to where [where P=(√3,0)]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
AB is a chord of the parabola y2=4ax with vertex A,BC is drawn perpendicular to AB meeting the axis at C. The projection of BC on the axis of the parabola is
AB is a chord of the parabola y2=4ax with vertex A,BC is drawn perpendicular to AB meeting the axis at C. The projection of BC on the axis of the parabola is
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The radius of the circle passing through the foci of the ellipse
x2
4
+
4y2
7
=1 and having its centre at (
1
2
,2) is
The radius of the circle passing through the foci of the ellipse
x2
4
+
4y2
7
=1 and having its centre at (
1
2
,2) is
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
The area of the quadrilateral formed by the tangents at the end point of latusrectum to the ellipse
x2
9
+
y2
5
=1 is
The area of the quadrilateral formed by the tangents at the end point of latusrectum to the ellipse
x2
9
+
y2
5
=1 is
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
If the chords of the hyperbola x2−y2=a2 touch the parabola y2=4‌ax . Then, the locus of themiddle points of these chords is
If the chords of the hyperbola x2−y2=a2 touch the parabola y2=4‌ax . Then, the locus of themiddle points of these chords is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
lim
x→0
esin‌x−1
x
 is equal to
lim
x→0
esin‌x−1
x
 is equal to
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
If p and q are two statements, then (p∧q)∨(q⇔p) is
If p and q are two statements, then (p∧q)∨(q⇔p) is
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The value of the determinant |
(ax+a−x)2(ax−a−x)21
(bx+b−x)2(bx−b−x)21
(cx+c−x)2(cx−c−x)21
| is
The value of the determinant |
(ax+a−x)2(ax−a−x)21
(bx+b−x)2(bx−b−x)21
(cx+c−x)2(cx−c−x)21
| is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
If
Δr=|
1nn
2rn2+n+1n2+n
2r−1n2n2+n+1
|
and
n
∑
r=1
Δr=56, then n is equal to
If
Δr=|
1nn
2rn2+n+1n2+n
2r−1n2n2+n+1
|
and
n
∑
r=1
Δr=56, then n is equal to
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
If a, b, c are cube roots of unity, then |
eae2ae3a−1
ebe2be3b−1
ece2ce3c−1
| is equal to
If a, b, c are cube roots of unity, then |
eae2ae3a−1
ebe2be3b−1
ece2ce3c−1
| is equal to
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
If fog=|sin‌x| and gof=sin2√x, then f(x) andg(x) are
If fog=|sin‌x| and gof=sin2√x, then f(x) andg(x) are
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Let f:R→R be defined by f(x)=
x
√1+x2
, then (fofof)(x) is
Let f:R→R be defined by f(x)=
x
√1+x2
, then (fofof)(x) is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
If f(x)=
ax+a−x
2
 and f(x+y)+f(x−y)=kf(x)f(y), then k is equal to
If f(x)=
ax+a−x
2
 and f(x+y)+f(x−y)=kf(x)f(y), then k is equal to
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
If tan−1(
a
x
)+tan−1(
b
x
)=
π
2
, then x is equal to
If tan−1(
a
x
)+tan−1(
b
x
)=
π
2
, then x is equal to
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
cos−1{cos‌2‌cot−1(√2−1)} is equal to
cos−1{cos‌2‌cot−1(√2−1)} is equal to
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
n
∑
m=1
tan−1(
2m
m4+m2+2
) is equal to
n
∑
m=1
tan−1(
2m
m4+m2+2
) is equal to
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
lim
x→
π
2
(1−tan‌
x
2
)(1−sin‌x)
(1+tan‌
x
2
)(π−2x)3
 is equal to
lim
x→
π
2
(1−tan‌
x
2
)(1−sin‌x)
(1+tan‌
x
2
)(π−2x)3
 is equal to
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
f(x)={
sin3(√3).log(1+3x)
(tan−1√x)2(e5√x−1)x
,		x≠0
a,x=0
is continuous in [0.1], if 'a' equals to
f(x)={
sin3(√3).log(1+3x)
(tan−1√x)2(e5√x−1)x
,		x≠0
a,x=0
is continuous in [0.1], if 'a' equals to
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
If y=|sin‌x||x|, then the value of
dy
dx
 at x=
−π
6
 is
If y=|sin‌x||x|, then the value of
dy
dx
 at x=
−π
6
 is
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
The function xx is increasing, when
The function xx is increasing, when
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
The length of the longest interval, in which f(x)=3‌sin‌x−4sin3x is increasing, is
The length of the longest interval, in which f(x)=3‌sin‌x−4sin3x is increasing, is
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The triangle formed by the tangent to the curve f(x)=x2+bx−b at the point (1,1) and the coordinate axes lies in the first quadrant. If its area is 2, then the value of b is
The triangle formed by the tangent to the curve f(x)=x2+bx−b at the point (1,1) and the coordinate axes lies in the first quadrant. If its area is 2, then the value of b is
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
The equation of the tangent to the curve (
x
a
)n+ (
y
b
)n=2 at (a,b) is
The equation of the tangent to the curve (
x
a
)n+ (
y
b
)n=2 at (a,b) is
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
The minimum radius vector of the curve
a2
x2
+
b2
y2
=1 is of length
The minimum radius vector of the curve
a2
x2
+
b2
y2
=1 is of length
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The largest term in the sequence an=
n2
n3+200
 is given by
The largest term in the sequence an=
n2
n3+200
 is given by
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
f(x)={
|x3+x2+3x+sinx|.(3+sin‌
1
x
),		x≠0
0,x=0
The number of points, where f(x) attains its minimum value, is
f(x)={
|x3+x2+3x+sinx|.(3+sin‌
1
x
),		x≠0
0,x=0
The number of points, where f(x) attains its minimum value, is
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
∫
x2−1
(x4+3x2+1)tan−1(x+
1
x
)
dx is equal to
∫
x2−1
(x4+3x2+1)tan−1(x+
1
x
)
dx is equal to
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
∫
cos‌x
sin2x.(sin‌x+cos‌x)
dx is equal to
∫
cos‌x
sin2x.(sin‌x+cos‌x)
dx is equal to
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
∫
dx
sin‌x−cos‌x+√2
 is equal to
∫
dx
sin‌x−cos‌x+√2
 is equal to
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
3π
2
∫
0
sin[
2x
π
].dx, where [•] denotes the greatestinteger function, is equal to
3π
2
∫
0
sin[
2x
π
].dx, where [•] denotes the greatestinteger function, is equal to
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The value of
(an−1)∕n
∫
1∕n
√x
√a−x+√x
dx is equal to
The value of
(an−1)∕n
∫
1∕n
√x
√a−x+√x
dx is equal to
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
The area bounded by y=x|sin‌x| and X -axisbetween x=0 and x=2π is
The area bounded by y=x|sin‌x| and X -axisbetween x=0 and x=2π is
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
The area enclosed by the curves |y+x|≤1, |y−x|≤1 and 2x2+2yy=1 is
The area enclosed by the curves |y+x|≤1, |y−x|≤1 and 2x2+2yy=1 is
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
The real value of m for which the substitution y=um will transform the differential equation 2x4.y
dy
dx
+y4=4x6 intoa homogeneousequation, is
The real value of m for which the substitution y=um will transform the differential equation 2x4.y
dy
dx
+y4=4x6 intoa homogeneousequation, is
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
The equation of the curve for which the square of the ordinate is twice the rectangle contained by the abscissa and the intercept of the normal on the X-axis and passing through (2.1), is
The equation of the curve for which the square of the ordinate is twice the rectangle contained by the abscissa and the intercept of the normal on the X-axis and passing through (2.1), is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
If | a|=1,| b|=4, a.b=2 and c=2 a× b−3b,then the angle between b and c is
If | a|=1,| b|=4, a.b=2 and c=2 a× b−3b,then the angle between b and c is
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
If a,b,c are pth and qth and rth terms of a GP, then the vectors log‌a‌
^
i
+log‌b‌
^
j
+log‌c‌
^
k
 and(q−r)
^
i
+(r−p)
^
j
+(p−q)
^
k
 are
If a,b,c are pth and qth and rth terms of a GP, then the vectors log‌a‌
^
i
+log‌b‌
^
j
+log‌c‌
^
k
 and(q−r)
^
i
+(r−p)
^
j
+(p−q)
^
k
 are
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
The line joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2y+z=6 at the point
The line joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2y+z=6 at the point
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
The distance of the point (1,−5,9), from the plane r (
^
i
−
^
j
+
^
k
)=5 measured along the line r=
^
i
+
^
j
+
^
k
 is
The distance of the point (1,−5,9), from the plane r (
^
i
−
^
j
+
^
k
)=5 measured along the line r=
^
i
+
^
j
+
^
k
 is
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
The image of the point with position vector
^
i
+3
^
k
 in the plane r.(
^
i
+
^
j
+
^
k
)=1 is
The image of the point with position vector
^
i
+3
^
k
 in the plane r.(
^
i
+
^
j
+
^
k
)=1 is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
In a trial, the probability of success is twice the probability of failure. In six trial, the probability of at least four successes will be
In a trial, the probability of success is twice the probability of failure. In six trial, the probability of at least four successes will be
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
If the integers m and n are chosen at randon between 1 and 100 , then the probability that a number of the form 7m+7n is divisible by 5 , equals
If the integers m and n are chosen at randon between 1 and 100 , then the probability that a number of the form 7m+7n is divisible by 5 , equals
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
If sin−1a+sin−1b+sin−1c=π, then the value ofa.√ (1−a2 )+b.√ (1−b2 ) +c.√ (1−c2 ) will be
If sin−1a+sin−1b+sin−1c=π, then the value ofa.√ (1−a2 )+b.√ (1−b2 ) +c.√ (1−c2 ) will be
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
The value of λ and µ for which the system ofequations x+y+z=6,x+2y+3z=10 andx+2y+λz=µ have no solution, are
The value of λ and µ for which the system ofequations x+y+z=6,x+2y+3z=10 andx+2y+λz=µ have no solution, are
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
The range of f(x)=sec‌ (
π
4
cos2x ),−∞<x<∞
The range of f(x)=sec‌ (
π
4
cos2x ),−∞<x<∞
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The value of the
lim
x→10
(
ax+bx+cx
3
 )
2
x
,(a,b,c>0) is
The value of the
lim
x→10
(
ax+bx+cx
3
 )
2
x
,(a,b,c>0) is
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
The function f(x)=[x]‌cos‌ [
2x−1
2
 ]‌π, where [•]denotes the greatest integer funtion, is discontinuous at
The function f(x)=[x]‌cos‌ [
2x−1
2
 ]‌π, where [•]denotes the greatest integer funtion, is discontinuous at
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
The function f(x)=(x2−1 )|x2−3x+2| +cos|x| is non-differentiable at
The function f(x)=(x2−1 )|x2−3x+2| +cos|x| is non-differentiable at
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
If f(x+y)=f(x).f(y) for all x and y and f(15)=2,f′(0)=3, then f′(5) will be
If f(x+y)=f(x).f(y) for all x and y and f(15)=2,f′(0)=3, then f′(5) will be
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
If x‌sin(a+y)+sin‌a‌cos(a+y)=0, then
dy
dx
 isequal to
If x‌sin(a+y)+sin‌a‌cos(a+y)=0, then
dy
dx
 isequal to
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
The approximate value of f(5.001), wheref(x)=x3−7x2+15, is
The approximate value of f(5.001), wheref(x)=x3−7x2+15, is
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
What are the values of c for which Rolle's theorem for the function f(x)=x3−3x2+2x in the interval [0,2] is verified?
What are the values of c for which Rolle's theorem for the function f(x)=x3−3x2+2x in the interval [0,2] is verified?
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
The equation of the plane through the intersection of the planes 3x−y+2z−4=0 and x+y+z−2=0 and the point (2,2,1) is
The equation of the plane through the intersection of the planes 3x−y+2z−4=0 and x+y+z−2=0 and the point (2,2,1) is
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
lim
x→0
 (1 cosec2x+2 cosec2x+....+n cosec2x)sin2x equal to
lim
x→0
 (1 cosec2x+2 cosec2x+....+n cosec2x)sin2x equal to
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
π∕2
∫
0
sin‌x−cos‌x
1+sin‌x.cos‌x
dx is equal to
π∕2
∫
0
sin‌x−cos‌x
1+sin‌x.cos‌x
dx is equal to
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
The area of the region bounded by 1−y2=|x| and |x|+|y|=1 is
The area of the region bounded by 1−y2=|x| and |x|+|y|=1 is
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The equations of the lines passing through the point (1,0) and at a distance
√3
2
 from the originare
The equations of the lines passing through the point (1,0) and at a distance
√3
2
 from the originare
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
The equation of circle which passes through the origin and cuts off intercepts 5 and 6 from the positive parts of the axes respectively, is (x−
5
2
 )2+(y−3)2=λ, where λ is
The equation of circle which passes through the origin and cuts off intercepts 5 and 6 from the positive parts of the axes respectively, is (x−
5
2
 )2+(y−3)2=λ, where λ is
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
A perpendicular is drawn from the point P(2,4,−1) to the line
x+5
1
=
y+3
4
=
z−6
−9
. Theequation of the perpendicular from P to the given line is
A perpendicular is drawn from the point P(2,4,−1) to the line
x+5
1
=
y+3
4
=
z−6
−9
. Theequation of the perpendicular from P to the given line is
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
If cos2A+cos2C=sin2B, then ΔABC is
If cos2A+cos2C=sin2B, then ΔABC is
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
If |
x+y+2zxy
zy+z+2xy
zxz+x+2y
| =k(x+y+z)3, then the value of k is
If |
x+y+2zxy
zy+z+2xy
zxz+x+2y
| =k(x+y+z)3, then the value of k is
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
The minimum value of
x
log‌x
 is
The minimum value of
x
log‌x
 is
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
One mapping (function) is selected at random from all the mappings of the set A = {1 ,2 ,3 ,..., n ) into itself. The probability that the mapping selected is one-one, is
One mapping (function) is selected at random from all the mappings of the set A = {1 ,2 ,3 ,..., n ) into itself. The probability that the mapping selected is one-one, is
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
In how many ways, can a student choose a program of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student?
In how many ways, can a student choose a program of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student?
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Remorse
Remorse
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Stigma
Stigma
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Blemish
Blemish
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Deteriorate
Deteriorate
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Knave
Knave
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Enormous
Enormous
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Commissioned
Commissioned
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Artificial
Artificial
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Exodus
Exodus
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Mortal
Mortal
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Four alternatives are given in each group, one word is correctly spelt. Find the correctly spelt word.
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
To examine ones to own thoughts and feelings
To examine ones to own thoughts and feelings
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
The custom of having more than one husband at a time
The custom of having more than one husband at a time
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Murder of a brother
Murder of a brother
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
Study of mankind
Study of mankind
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Through which life cannot pass
Through which life cannot pass
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Some of the words have been left out. First read the passage over and try to understand what it is about. Then, fill in the blanks with the help of the alternatives given.

Something has happened in the last twenty years that surely must (21) anything that has happened before. Some historians are already saying that thrust (22) space represents a vital turning point in history. Moon flights are considered (23) less than steps in human evolution (24) to the time when life on earth emerged from the sea and established itself on land. Of course, not everyone (25) enraptured by space. Critics have Often said that space flight has been an (26) use resources that should have (27) to feeding, clothing and housing people. There is, however, no proof that if we had (28) been working on space, we would have done anything of great human value. In fact, research and exploration have a (29) spin-offs, quite apart from the fact that they demonstrate that (30) is alive and insatiably curious.
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Some of the sentences have errors and some are correct. Find out which part of a sentence has a error and corresponding to the appropriate letter (a), (b) and (c) If the sentence free from error, then mark (d).
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
I wish my bus ......... so late, then I could have reached home before breakfast
I wish my bus ......... so late, then I could have reached home before breakfast
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
..........you examine it carefully you will notice some flaws.
..........you examine it carefully you will notice some flaws.
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The contractor did not keep his promise that the work.........be finished before the end of the week.
The contractor did not keep his promise that the work.........be finished before the end of the week.
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
If you come across my umbrella anywhere bring it to me ,......... ?
If you come across my umbrella anywhere bring it to me ,......... ?
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
Miss Pillai teaches very well.........?
Miss Pillai teaches very well.........?
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