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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
What is the moment of inertia of a solid sphere of density ρ and radius R about its diameter?
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What is the moment of inertia of a solid sphere of density ρ and radius R about its diameter?
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Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
A body moves with uniform acceleration, then which of the following graph is correct ?
A body moves with uniform acceleration, then which of the following graph is correct ?
©
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
A projectile can have the same range R for two angles of projection. If t1 and t2 be the times of flight in two cases, then what is the product of two times of flight?
©
A projectile can have the same range R for two angles of projection. If t1 and t2 be the times of flight in two cases, then what is the product of two times of flight?
©
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A horizontal overhead powerline is at height of 4m from the ground and carries a current of 100A from east to west. The magnetic field directly below it on the ground is (µ0 = 4π × 107 Tm A1)
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A horizontal overhead powerline is at height of 4m from the ground and carries a current of 100A from east to west. The magnetic field directly below it on the ground is (µ0 = 4π × 107 Tm A1)
©
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
A man of mass 100 kg. is standing on a platform of mass 200 kg. which is kept on a smooth ice surface. If the man starts moving on the platform with a speed 30 m/sec relative to the platform then calculate with what velocity relative to the ice the platform will recoil?
©
A man of mass 100 kg. is standing on a platform of mass 200 kg. which is kept on a smooth ice surface. If the man starts moving on the platform with a speed 30 m/sec relative to the platform then calculate with what velocity relative to the ice the platform will recoil?
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Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
If the unit of force and length be each increased by four times, then the unit of energy is increased by
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If the unit of force and length be each increased by four times, then the unit of energy is increased by
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Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Which of the following must be known in order to determine the power output of an automobile?
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Which of the following must be known in order to determine the power output of an automobile?
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Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
If the force is given by F = at + bt2 with t as time. The dimensions of a and b are
©
If the force is given by F = at + bt2 with t as time. The dimensions of a and b are
©
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
A wheel of radius R rolls on the ground with a uniform velocity v. The relative acceleration of topmost point of the wheel with respect to the bottom most point is


A wheel of radius R rolls on the ground with a uniform velocity v. The relative acceleration of topmost point of the wheel with respect to the bottom most point is


Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
If the radius of the earth were to shrink by one per cent, its mass remaining the same, the value of g on the earth’s surface would
©
If the radius of the earth were to shrink by one per cent, its mass remaining the same, the value of g on the earth’s surface would
©
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The Young’s modulus of a perfectly rigid body is
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The Young’s modulus of a perfectly rigid body is
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Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
An ice block floats in a liquid whose density is less than water. A part of block is outside the liquid. When whole of ice has melted, the liquid level will
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An ice block floats in a liquid whose density is less than water. A part of block is outside the liquid. When whole of ice has melted, the liquid level will
©
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
A large drop of oil (density 0.8 g/cm3 and viscosity η0) floats up through a column of another liquid (density 1.2 g/cm3 and viscosity ηL). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
©
A large drop of oil (density 0.8 g/cm3 and viscosity η0) floats up through a column of another liquid (density 1.2 g/cm3 and viscosity ηL). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
©
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A solid body of constant heat capacity 1 J/°C is being heated by keeping it in contact with reservoirs in two ways :
(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat. In both the cases body is brought from initial temperature 100°C to final temperature 200°C. Entropy change of the body in the two cases respectively is :
©
A solid body of constant heat capacity 1 J/°C is being heated by keeping it in contact with reservoirs in two ways :
(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat. In both the cases body is brought from initial temperature 100°C to final temperature 200°C. Entropy change of the body in the two cases respectively is :
©
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Which of the following process is possible according to the first law of thermodynamics?
©
Which of the following process is possible according to the first law of thermodynamics?
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Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
For an isothermal expansion of a perfect gas, the value of
ΔP
P
is equal to
©
For an isothermal expansion of a perfect gas, the value of
ΔP
P
is equal to
©
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A sample of ideal monoatomic gas is taken round the cycle ABCA as shown in the figure. The work done during the cycle is


A sample of ideal monoatomic gas is taken round the cycle ABCA as shown in the figure. The work done during the cycle is


Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
The average translational kinetic energy of O2 (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of N2 (molar mass 28) molecules in eV at the same temperature is
©
The average translational kinetic energy of O2 (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of N2 (molar mass 28) molecules in eV at the same temperature is
©
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
For a gas if ratio of specific heats at constant pressure and volume is γ then value of degreesof freedom is
©
For a gas if ratio of specific heats at constant pressure and volume is γ then value of degreesof freedom is
©
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
One end of a long metallic wire of length L tied to the ceiling. The other end is tied with a massless spring of spring constant K. A mass hangs freely from the free end of the spring. The area of cross section and the young’s modulus of the wire are A and Y respectively. If the mass slightly pulled down and released, it will oscillate with a time period T equal to :
©
One end of a long metallic wire of length L tied to the ceiling. The other end is tied with a massless spring of spring constant K. A mass hangs freely from the free end of the spring. The area of cross section and the young’s modulus of the wire are A and Y respectively. If the mass slightly pulled down and released, it will oscillate with a time period T equal to :
©
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
The transverse displacement y(x, t) of a wave on a string is given by y (x , t) = e(ax2+bt2+2abxt)
This represents a
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The transverse displacement y(x, t) of a wave on a string is given by y (x , t) = e(ax2+bt2+2abxt)
This represents a
©
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A sound source is moving towards stationarylistener with
1
10
th of the speed of sound. The ratio of apparent to read frequency is
©
A sound source is moving towards stationarylistener with
1
10
th of the speed of sound. The ratio of apparent to read frequency is
©
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
In a region of space having a uniform electric field E, a hemispherical bowl of radius r is placed. The electric flux f through the bowl is
©
In a region of space having a uniform electric field E, a hemispherical bowl of radius r is placed. The electric flux f through the bowl is
©
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The electric field intensity just sufficient to balance the earth’s gravitational attraction on an electron will be: (given mass and charge of an electron respectively are 9.1 × 1031 kg and 1.6 × 1019 C.)

©
The electric field intensity just sufficient to balance the earth’s gravitational attraction on an electron will be: (given mass and charge of an electron respectively are 9.1 × 1031 kg and 1.6 × 1019 C.)

©
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Two capacitors C1 and C2 are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then
©
Two capacitors C1 and C2 are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then
©
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Three voltmeters A, B and C having resistances R, 1.5 R and 3R, respectively, are connected as shown. When some potential difference is applied between X and Y, the voltmeter readings are VA, VB and VC respectively. Then –


Three voltmeters A, B and C having resistances R, 1.5 R and 3R, respectively, are connected as shown. When some potential difference is applied between X and Y, the voltmeter readings are VA, VB and VC respectively. Then –


Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The range of the particle when launched at an angle of 15º with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of 45º to the horizontal.
©
The range of the particle when launched at an angle of 15º with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of 45º to the horizontal.
©
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
If m is magnetic moment and B is the magnetic field, then the torque is given by
©
If m is magnetic moment and B is the magnetic field, then the torque is given by
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Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Magnetic moment of bar magnet is M. The work done to turn the magnet by 90° of magnet in direction of magnetic field B will be
©
Magnetic moment of bar magnet is M. The work done to turn the magnet by 90° of magnet in direction of magnetic field B will be
©
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The laws of electromagnetic induction have been used in the construction of a
©
The laws of electromagnetic induction have been used in the construction of a
©
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
The impedance of a circuit consists of 3 Ω resistance and 4Ω reactance. The power factor of the circuit is
©
The impedance of a circuit consists of 3 Ω resistance and 4Ω reactance. The power factor of the circuit is
©
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
The r.m.s. value of potential difference V shown in the figure is


The r.m.s. value of potential difference V shown in the figure is


Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A ray of light is incident at the glass-water interface at an angle i, it emerges finally parallel to the surface of water, then the value of µg would be


A ray of light is incident at the glass-water interface at an angle i, it emerges finally parallel to the surface of water, then the value of µg would be


Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A mica slit of thickness t and refractive index μ is introduced in the ray from the first source S1. By how much distance of fringes pattern will be displaced ?
©
A mica slit of thickness t and refractive index μ is introduced in the ray from the first source S1. By how much distance of fringes pattern will be displaced ?
©
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
In a Young’s double slit experiment the angular width of a fringe formed on a distant screen is 1°. The wavelength of the light used is 6280 Å. What is the distance between the two coherent sources?
©
In a Young’s double slit experiment the angular width of a fringe formed on a distant screen is 1°. The wavelength of the light used is 6280 Å. What is the distance between the two coherent sources?
©
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
A light having wavelength 300 nm fall on a metal surface. The work function of metal is 2.54 eV, what is stopping potential ?
©
A light having wavelength 300 nm fall on a metal surface. The work function of metal is 2.54 eV, what is stopping potential ?
©
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
If the total binding energies of
2
1
H
,
4
2
He
,
56
26
Fe
&
235
92
U nuclei are 2.22, 28.3, 492 and 1786 MeV respectively, identify the most stable nucleus of the following.
©
If the total binding energies of
2
1
H
,
4
2
He
,
56
26
Fe
&
235
92
U nuclei are 2.22, 28.3, 492 and 1786 MeV respectively, identify the most stable nucleus of the following.
©
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
An oscillator is nothing but an amplifer with
©
An oscillator is nothing but an amplifer with
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Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
In an experiment on photoelectric effect photons of wavelength 300 nm eject electrons from a metal of work function 2.25eV. A photon of energy equal to that of the most energetic electron corresponds to the following transition in the hydrogen atom:
©
In an experiment on photoelectric effect photons of wavelength 300 nm eject electrons from a metal of work function 2.25eV. A photon of energy equal to that of the most energetic electron corresponds to the following transition in the hydrogen atom:
©
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A letter 'A' is constructed of a uniform wire with resistance 1.0 Ω per cm, The sides of the letter are 20 cm and the cross piece in the middle is 10 cm long. The apex angle is 60. The resistance between the ends of the legs is close to:
©
A letter 'A' is constructed of a uniform wire with resistance 1.0 Ω per cm, The sides of the letter are 20 cm and the cross piece in the middle is 10 cm long. The apex angle is 60. The resistance between the ends of the legs is close to:
©
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
Number of atoms of He in 100 amu of He (atomic wt. of He is 4) are :
©
Number of atoms of He in 100 amu of He (atomic wt. of He is 4) are :
©
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
If the radius of H is 0.53 Å, then what will be the radius of 3Li2+ ?
©
If the radius of H is 0.53 Å, then what will be the radius of 3Li2+ ?
©
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
Which of the following does not have valence electron in 3d- subshell?
©
Which of the following does not have valence electron in 3d- subshell?
©
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
The vapour pressure of

due to
©
The vapour pressure of

due to
©
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
An ideal gas can’t be liquefied because
©
An ideal gas can’t be liquefied because
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Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
In which of the following reactions, standard entropy change (ΔS°) is positive and standard Gibb’s energy change (ΔG°) decreases sharply with increasing temperature ?
©
In which of the following reactions, standard entropy change (ΔS°) is positive and standard Gibb’s energy change (ΔG°) decreases sharply with increasing temperature ?
©
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
Bond enthalpies of H2, X2 and HX are in the ratio 2 : 1 : 2. If enthalpy of formation of HX is –50 kJ mol1, the bond enthalpy of X2 is
©
Bond enthalpies of H2, X2 and HX are in the ratio 2 : 1 : 2. If enthalpy of formation of HX is –50 kJ mol1, the bond enthalpy of X2 is
©
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
The pOH value of a solution whose hydroxide ion concentration is 6.2 × 109 mol/litre is
©
The pOH value of a solution whose hydroxide ion concentration is 6.2 × 109 mol/litre is
©
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Which of the following combinations would not result in the formation of a buffer solution?
©
Which of the following combinations would not result in the formation of a buffer solution?
©
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
The reaction, SO2+Cl2SO2Cl2 is exothermic and reversible. A mixture of SO2 (g), Cl2 (g) and SO2Cl2 (l) is at equilibrium in a closed container. Now a certain quantity of extra SO2 is introduced into the container, the volume remaining the same. Which of the following is/ are true?
©
The reaction, SO2+Cl2SO2Cl2 is exothermic and reversible. A mixture of SO2 (g), Cl2 (g) and SO2Cl2 (l) is at equilibrium in a closed container. Now a certain quantity of extra SO2 is introduced into the container, the volume remaining the same. Which of the following is/ are true?
©
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
In the reaction
3Br2+6CO32+3H2O5Br+BrO3+6HCO3
©
In the reaction
3Br2+6CO32+3H2O5Br+BrO3+6HCO3
©
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
The boiling point of water is exceptionally high because
©
The boiling point of water is exceptionally high because
©
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Which of the following has correct increasing basic strength?
©
Which of the following has correct increasing basic strength?
©
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
The following two compounds are


The following two compounds are


Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
In paper chromatography :
©
In paper chromatography :
©
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
In which case the NO2 will attack at the meta position


In which case the NO2 will attack at the meta position


Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Which alkene on ozonolysis gives CH3CH2CHO and CH3
C
||
O
CH3

©
Which alkene on ozonolysis gives CH3CH2CHO and CH3
C
||
O
CH3

©
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Formation of ozone in the upper atmosphere from oxygen takes place by the action of
©
Formation of ozone in the upper atmosphere from oxygen takes place by the action of
©
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
CO2 goes to air, causes green house effect and gets dissolved in water. What will be the effect on soil fertility and pH of the water?
©
CO2 goes to air, causes green house effect and gets dissolved in water. What will be the effect on soil fertility and pH of the water?
©
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
The van’t Hoff factor i for an electrolyte which undergoes dissociation and association in solvents are respectively
©
The van’t Hoff factor i for an electrolyte which undergoes dissociation and association in solvents are respectively
©
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
If the elevation in boiling point of a solution of 10 g of solute (mol. wt. = 100) in 100 g of water is ΔTb, the ebullioscopic constant of water is
©
If the elevation in boiling point of a solution of 10 g of solute (mol. wt. = 100) in 100 g of water is ΔTb, the ebullioscopic constant of water is
©
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The ionic conductance of Ba2+ and Cl respectively are 127 and 76 Ω1cm2 at infinite dilution. The equivalent conductance of BaCl2 at infinite dilution will be
©
The ionic conductance of Ba2+ and Cl respectively are 127 and 76 Ω1cm2 at infinite dilution. The equivalent conductance of BaCl2 at infinite dilution will be
©
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
2N2O54NO2 + O2
If rate and rate constant for above reaction are 2.40 × 105 mol L1s1 and 3 × 105s1 respectively, then calculate the concentration of N2O5.
©
2N2O54NO2 + O2
If rate and rate constant for above reaction are 2.40 × 105 mol L1s1 and 3 × 105s1 respectively, then calculate the concentration of N2O5.
©
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
Which of the following gas molecules have maximum value of enthalpy of physisorption?
©
Which of the following gas molecules have maximum value of enthalpy of physisorption?
©
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Which of the following will be the most effective in the coagulation of Fe(OH)3 soil?
©
Which of the following will be the most effective in the coagulation of Fe(OH)3 soil?
©
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
When chlorine water is exposed to sunlight, O2 is liberated. Hence,
©
When chlorine water is exposed to sunlight, O2 is liberated. Hence,
©
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
An extremely hot copper wire reacts with steam to give
©
An extremely hot copper wire reacts with steam to give
©
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
Among the following the lowest degree of paramagnetism per mole of the compound at 298 K will be shown by
©
Among the following the lowest degree of paramagnetism per mole of the compound at 298 K will be shown by
©
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
The following reaction is known as


The following reaction is known as


Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
Which of the following is process used for the preparation of acetone?
©
Which of the following is process used for the preparation of acetone?
©
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
The preparation of ethyl acetoacetate involves:
©
The preparation of ethyl acetoacetate involves:
©
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Which one of the following pairs is not correctly matched?
©
Which one of the following pairs is not correctly matched?
©
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
Identify ‘C’ in the following reaction:


Identify ‘C’ in the following reaction:


Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
The helical structure of protein is stabilised by
©
The helical structure of protein is stabilised by
©
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Complete hydrolysis of cellulose gives
©
Complete hydrolysis of cellulose gives
©
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
Alizarin is an example of
©
Alizarin is an example of
©
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
2,4-Dichlorophenoxyacetic add is used as
©
2,4-Dichlorophenoxyacetic add is used as
©
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
0.45 g of acid molecular weight 90 is neutralised by 20 ml of 0.5N caustic potash. The basicity of acid is
©
0.45 g of acid molecular weight 90 is neutralised by 20 ml of 0.5N caustic potash. The basicity of acid is
©
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
In the reaction of KMnO4 with an oxalate in acidic medium, - 4MnO is reduced to Mn2+ and C2O42 is oxidised to CO2. Hence, 50 mL of 0.02 M KMnO4 is equivalent to
©
In the reaction of KMnO4 with an oxalate in acidic medium, - 4MnO is reduced to Mn2+ and C2O42 is oxidised to CO2. Hence, 50 mL of 0.02 M KMnO4 is equivalent to
©
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Which of the following is soluble in yellow ammonium sulphide?
©
Which of the following is soluble in yellow ammonium sulphide?
©
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
Let A and B be two sets then (A ∪ B)‘ ∪ (A ‘∪ B) is equal to
©
Let A and B be two sets then (A ∪ B)‘ ∪ (A ‘∪ B) is equal to
©
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Let x and y be two natural numbers such that xy = 12(x + y) and x ≤ y. Then the total number of pairs (x, y) is
©
Let x and y be two natural numbers such that xy = 12(x + y) and x ≤ y. Then the total number of pairs (x, y) is
©
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
If sin2 θ + sin2 Φ = 1/2, cos2 θ + cos2 Φ = 3/2, then cos2 (θ – Φ) is equal to
©
If sin2 θ + sin2 Φ = 1/2, cos2 θ + cos2 Φ = 3/2, then cos2 (θ – Φ) is equal to
©
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
Let T(k) be the statement 1 + 3 + 5 + ... + (2k – 1) = k2 +10 Which of the following is correct?
©
Let T(k) be the statement 1 + 3 + 5 + ... + (2k – 1) = k2 +10 Which of the following is correct?
©
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
The amplitude of sin
π
5
+ i (1cos
π
5
)


©
The amplitude of sin
π
5
+ i (1cos
π
5
)


©
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
If x = ω – ω2 – 2, then the value of x4+3x3+2x2 – 11x – 6 is
©
If x = ω – ω2 – 2, then the value of x4+3x3+2x2 – 11x – 6 is
©
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes ?
©
In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes ?
©
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
The number of positive integral solution of abc = 30 is
©
The number of positive integral solution of abc = 30 is
©
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
The coefficient of x20 in the expansion of (1+x2)40 . (x2+2+
1
x2
)
5
is
©
The coefficient of x20 in the expansion of (1+x2)40 . (x2+2+
1
x2
)
5
is
©
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
If x is positive then the sum to infinity of the series
1
1+3x
-
13x
(1+3x)2
+
(13x)2
(1+3x)3
-
(13x)3
(1+3x)4
... ∞ is
©
If x is positive then the sum to infinity of the series
1
1+3x
-
13x
(1+3x)2
+
(13x)2
(1+3x)3
-
(13x)3
(1+3x)4
... ∞ is
©
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
The nearest point on the line 3x + 4y = 12 from the origin is
©
The nearest point on the line 3x + 4y = 12 from the origin is
©
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
The length of the tangent drawn from any point on the circle x2+y2 + 2fy + λ = 0 to the circle x2+y2 + 2fy + µ = 0, where µ > λ > 0, is
©
The length of the tangent drawn from any point on the circle x2+y2 + 2fy + λ = 0 to the circle x2+y2 + 2fy + µ = 0, where µ > λ > 0, is
©
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
Find the eccentricity of the conic represented by x2y2 – 4x + 4y + 16 = 0
©
Find the eccentricity of the conic represented by x2y2 – 4x + 4y + 16 = 0
©
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
lim
x
π
2
(1tan(
x
2
)
)
(1sinx)
(1+tan(
x
2
)
)
(π2x)3
= ?
©
lim
x
π
2
(1tan(
x
2
)
)
(1sinx)
(1+tan(
x
2
)
)
(π2x)3
= ?
©
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
Let f (x + y) = f (x) . f (y) for all x, y where f (0) ≠ 0. If f (5) = 2 and f ' (0) = 3, then f ' (5) is equal to –
©
Let f (x + y) = f (x) . f (y) for all x, y where f (0) ≠ 0. If f (5) = 2 and f ' (0) = 3, then f ' (5) is equal to –
©
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
If sample A contains 100 observations 101, 102, .... 200 and sample B contains 100 obsections 151, 152, .......... 250, then ratio of variance vAvB =
©
If sample A contains 100 observations 101, 102, .... 200 and sample B contains 100 obsections 151, 152, .......... 250, then ratio of variance vAvB =
©
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
The probability of simultaneous occurrence of atleast one of two events A and B is p. If the probability that exactly one of A, B occurs is q, then P(A’) + P(B’) is equal to
©
The probability of simultaneous occurrence of atleast one of two events A and B is p. If the probability that exactly one of A, B occurs is q, then P(A’) + P(B’) is equal to
©
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
If f is an even function and g is an odd function, then the function fog is
©
If f is an even function and g is an odd function, then the function fog is
©
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
tan1(
1
4
)
+tan1(
2
9
)
equal to –
©
tan1(
1
4
)
+tan1(
2
9
)
equal to –
©
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
If k ≤ sin1 x + cos1 x + tan1 x ≤ K, then –
©
If k ≤ sin1 x + cos1 x + tan1 x ≤ K, then –
©
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
The equations 2x + 3y + 4 = 0; 3x + 4y + 6 = 0 and 4x + 5y + 8 = 0 are
©
The equations 2x + 3y + 4 = 0; 3x + 4y + 6 = 0 and 4x + 5y + 8 = 0 are
©
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
The value of the determinant |
265240219
240225198
219198181
|
is
©
The value of the determinant |
265240219
240225198
219198181
|
is
©
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
If x = a sin θ and y = b cos θ, then
d2y
dx2
is
©
If x = a sin θ and y = b cos θ, then
d2y
dx2
is
©
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
If f(x) = xα log x and f(0) = 0, then the value of α for which Rolle’s theorem can be applied in [0, 1] is
©
If f(x) = xα log x and f(0) = 0, then the value of α for which Rolle’s theorem can be applied in [0, 1] is
©
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
If the function f(x) = {
1x2
ax+b2<x<4
7x4

is continuous at x = 2 and 4, then the values of a and b are
©
If the function f(x) = {
1x2
ax+b2<x<4
7x4

is continuous at x = 2 and 4, then the values of a and b are
©
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
If f (x) =
a21
a2+1
x3
- 3x + 5 is a decreasing function of x in R, then the set of possible values of a (independent of x) is
©
If f (x) =
a21
a2+1
x3
- 3x + 5 is a decreasing function of x in R, then the set of possible values of a (independent of x) is
©
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
The diagonal of a square is changing at the rate of 0.5 cm/sec. Then the rate of change of area, when the area is 400 cm2, is equal to
©
The diagonal of a square is changing at the rate of 0.5 cm/sec. Then the rate of change of area, when the area is 400 cm2, is equal to
©
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
If the normal to the curve y = f (x) at the point (3, 4) makes an angle 3π/4 with the positive x-axis, then f ' (3) =
©
If the normal to the curve y = f (x) at the point (3, 4) makes an angle 3π/4 with the positive x-axis, then f ' (3) =
©
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
Evaluate: ∫
x
4x3
dx
©
Evaluate: ∫
x
4x3
dx
©
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
π
2
0
2sinx
2sinx+2cosx
dx equals
©
π
2
0
2sinx
2sinx+2cosx
dx equals
©
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
The area bounded by the curve y = sinx, x-axis and the ordinates x = 0 and x = π/2 is
©
The area bounded by the curve y = sinx, x-axis and the ordinates x = 0 and x = π/2 is
©
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
The differential equation whose solution is Ax2+By2 = 1 where A and B are arbitrary constants is of
©
The differential equation whose solution is Ax2+By2 = 1 where A and B are arbitrary constants is of
©
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
The unit vector perpendicular to the vectors 6
i
+2
j
+3
k
and 3
i
6
j
2
k
is
©
The unit vector perpendicular to the vectors 6
i
+2
j
+3
k
and 3
i
6
j
2
k
is
©
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
If a.b = a.c and a × b = a × c, then correct statement is
©
If a.b = a.c and a × b = a × c, then correct statement is
©
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
What is the value of n so that the angle between the lines having direction ratios (1, 1, 1) and (1, –1, n) is 60°?
©
What is the value of n so that the angle between the lines having direction ratios (1, 1, 1) and (1, –1, n) is 60°?
©
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
The foot of the perpendicular from the point (7, 14, 5) to the plane 2x + 4y – z = 2 are
©
The foot of the perpendicular from the point (7, 14, 5) to the plane 2x + 4y – z = 2 are
©
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
Find the coordinates of the point where the line joining the points (2, –3, 1) and (3, – 4, – 5) cuts the plane 2x + y + z = 7.
©
Find the coordinates of the point where the line joining the points (2, –3, 1) and (3, – 4, – 5) cuts the plane 2x + y + z = 7.
©
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
A boy is throwing stones at a target. The probability of hitting the target at any trial is
1
2
. The probability of hitting the target 5th time at the 10th throw is :
©
A boy is throwing stones at a target. The probability of hitting the target at any trial is
1
2
. The probability of hitting the target 5th time at the 10th throw is :
©
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
Two dice are thrown together 4 times. The probability that both dice will show same numbers twice is -
©
Two dice are thrown together 4 times. The probability that both dice will show same numbers twice is -
©
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
In a triangle ABC, if a = 2, B = 60° and C = 75°, then b equals
©
In a triangle ABC, if a = 2, B = 60° and C = 75°, then b equals
©
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
Prabhat wants to invest the total amount of ₹ 15,000 in saving certificates and national saving bonds. According to rules, he has to invest at least ₹ 2000 in saving certificates and ₹ 2500 in national saving bonds. The interest rate is 8% on saving certificate and 10% on national saving bonds per annum. He invest ₹ x in saving certificate and ₹ y in national saving bonds. Then the objective function for this problem is
©
Prabhat wants to invest the total amount of ₹ 15,000 in saving certificates and national saving bonds. According to rules, he has to invest at least ₹ 2000 in saving certificates and ₹ 2500 in national saving bonds. The interest rate is 8% on saving certificate and 10% on national saving bonds per annum. He invest ₹ x in saving certificate and ₹ y in national saving bonds. Then the objective function for this problem is
©
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
For the function
f (x) =
x100
100
+
x99
99
+ ... +
x2
2
+ x + 1
f '(1) = mf ' (0), where m is equal to
©
For the function
f (x) =
x100
100
+
x99
99
+ ... +
x2
2
+ x + 1
f '(1) = mf ' (0), where m is equal to
©
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
Let A = [
0α
00
]
and (A+I)50 - 50A = [
ab
cd
]
, find abc + abd + bcd + acd
©
Let A = [
0α
00
]
and (A+I)50 - 50A = [
ab
cd
]
, find abc + abd + bcd + acd
©
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
If the line x cos α + y sin α = p represents the common chord of the circles x2+y2 = a2 and x2+y2+b2 (a > b), where A and B lie on the first circle and P and Q lie on the second circle, then AP is equal to
©
If the line x cos α + y sin α = p represents the common chord of the circles x2+y2 = a2 and x2+y2+b2 (a > b), where A and B lie on the first circle and P and Q lie on the second circle, then AP is equal to
©
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
Let a1,a2,a3 ............ be terms on A.P. If
a1+a2+...+ap
a1+a2+...+aq
=
p2
q2
, p ≠ q , then
a6
a21
equals
©
Let a1,a2,a3 ............ be terms on A.P. If
a1+a2+...+ap
a1+a2+...+aq
=
p2
q2
, p ≠ q , then
a6
a21
equals
©
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
Florid
©
Florid
©
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
Verity
©
Verity
©
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
Perspicuity
©
Perspicuity
©
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
Disgrace
©
Disgrace
©
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
Striking
©
Striking
©
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
Fiasco
©
Fiasco
©
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
Power got with money is the most craved for today.
©
Power got with money is the most craved for today.
©
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
You are asked to copy this letter word by word.
©
You are asked to copy this letter word by word.
©
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
Let us quickly __________.
©
Let us quickly __________.
©
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
Rajesh’s car wasn’t __________ Ramesh’s, so we were too exhausted by the time we reached home.
©
Rajesh’s car wasn’t __________ Ramesh’s, so we were too exhausted by the time we reached home.
©
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
1. The most vulnerable section of the society are the students.
P. Revolutionary and new fledged ideas have a great appeal to them.
Q. Agitations may be non-violent methods of protest.
R. They cannot resist the charm of persuasion.
S. They are to be taught that without discipline they cannot get proper education.
6. However if these become violent, the antisocial elements get encouraged and they put all proper working out of gear.
©
1. The most vulnerable section of the society are the students.
P. Revolutionary and new fledged ideas have a great appeal to them.
Q. Agitations may be non-violent methods of protest.
R. They cannot resist the charm of persuasion.
S. They are to be taught that without discipline they cannot get proper education.
6. However if these become violent, the antisocial elements get encouraged and they put all proper working out of gear.
©
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
1. Venice is a strange city.
P. There are about 400 odd bridges connecting the islands of Venice.
Q. There are no motor cars, no horses and no buses there.
R. These small islands are close to one another.
S. It is not one island but a hundred islands.
6. This is because Venice has no streets.
©
1. Venice is a strange city.
P. There are about 400 odd bridges connecting the islands of Venice.
Q. There are no motor cars, no horses and no buses there.
R. These small islands are close to one another.
S. It is not one island but a hundred islands.
6. This is because Venice has no streets.
©
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
"It is a specialised agency of the United Nations and was established in 1948". Here specialised means :
©
"It is a specialised agency of the United Nations and was established in 1948". Here specialised means :
©
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
"International health workers can be seen working in all kinds of surroundings: in deserts, jungles, mountains, coconout groves, and rice fields".
Here International means:
©
"International health workers can be seen working in all kinds of surroundings: in deserts, jungles, mountains, coconout groves, and rice fields".
Here International means:
©
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
They help the sick to attain health and the healthy to maintain their health. here they stands for:
©
They help the sick to attain health and the healthy to maintain their health. here they stands for:
©
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
In a code language, if SUMMER is coded as SDNLVR, then the word WINTER will be coded as:
©
In a code language, if SUMMER is coded as SDNLVR, then the word WINTER will be coded as:
©
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt

©

©
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
Today is Monday. After 61 days, it will be:
©
Today is Monday. After 61 days, it will be:
©
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
Rahul and Nitesh are standing in a row of persons. Rahul is 12th from left side and Nitesh is 18th from the right side of the row. If they interchanged their positions Rahul becomes 25th from left. Find the new position of Nitesh from right side?
©
Rahul and Nitesh are standing in a row of persons. Rahul is 12th from left side and Nitesh is 18th from the right side of the row. If they interchanged their positions Rahul becomes 25th from left. Find the new position of Nitesh from right side?
©
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
One of the numbers does not fit into the series. Find the wrong number. 52, 152, 414, 1312, 5348, 26840
©
One of the numbers does not fit into the series. Find the wrong number. 52, 152, 414, 1312, 5348, 26840
©
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
In the following question and D stands for any of Mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which when substituted makes the question as correct equation? 24 Δ 4 Δ 5 Δ 4
©
In the following question and D stands for any of Mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which when substituted makes the question as correct equation? 24 Δ 4 Δ 5 Δ 4
©
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
Which represents carrot, food, vegetable?
Which represents carrot, food, vegetable?

©
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
"All the members of the Tennis club are members of the badminton club too". No woman plays badminton?
©
"All the members of the Tennis club are members of the badminton club too". No woman plays badminton?
©
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt


Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
Which answer figure is the exact mirror image of the given figure when the mirror held form the right at PQ?


Which answer figure is the exact mirror image of the given figure when the mirror held form the right at PQ?


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