Please wait...

Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Physics
A setting sun appears to be at an altitude higher than it really is. This is because of
Physics
A setting sun appears to be at an altitude higher than it really is. This is because of
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
In a Young's double slit experiment, the slit separation is 1mm and the screen is 1m from the slit. For a monochromatic light of wavelength 500nm, the distance of 3 rd minima from the central maxima is
In a Young's double slit experiment, the slit separation is 1mm and the screen is 1m from the slit. For a monochromatic light of wavelength 500nm, the distance of 3 rd minima from the central maxima is
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Which of the energy band diagrams shown in the figure corresponds to that of a semiconductor?
Which of the energy band diagrams shown in the figure corresponds to that of a semiconductor?
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Let ie,ic and ib represent emitter current, collector current and the base current of a transistor, then
Let ie,ic and ib represent emitter current, collector current and the base current of a transistor, then
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
A radioactive substance has an average life of 5 hours. In a time of 5 hours
A radioactive substance has an average life of 5 hours. In a time of 5 hours
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The magnetic field amplitude of an electromagnetic wave is 2×10−7T. Its electric field amplitude if the wave is travelling in free space is
The magnetic field amplitude of an electromagnetic wave is 2×10−7T. Its electric field amplitude if the wave is travelling in free space is
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
The atomic number and the mass number of an atom remains unchanged when it emmits
The atomic number and the mass number of an atom remains unchanged when it emmits
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
A small object placed on a rotating horizontal turn table just slips when it is placed at a distance of 4cm from the axis of rotation, if the angular velocity of the turn-table is doubled, the object slips when its distance from the axis of rotation is
A small object placed on a rotating horizontal turn table just slips when it is placed at a distance of 4cm from the axis of rotation, if the angular velocity of the turn-table is doubled, the object slips when its distance from the axis of rotation is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
When two parallel wires carry currents in the same direction,
When two parallel wires carry currents in the same direction,
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
The efficiency of Carnot engine is 0.6. It rejects 20J of heat to sink. The work done by the engine is
The efficiency of Carnot engine is 0.6. It rejects 20J of heat to sink. The work done by the engine is
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The dimension of K in the equation W=
1
2
Kx2 is
The dimension of K in the equation W=
1
2
Kx2 is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first ?
Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first ?
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
A plumb line is suspended from a ceiling of a car moving with' horizontal acceleration of a. What will be the angle of inclination with vertical ?
A plumb line is suspended from a ceiling of a car moving with' horizontal acceleration of a. What will be the angle of inclination with vertical ?
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A body of mass 2kg is kept by pressing to a vertical wall by a force of 100N. The friction between wall and body is 0.3. Then the frictional force is equal to
A body of mass 2kg is kept by pressing to a vertical wall by a force of 100N. The friction between wall and body is 0.3. Then the frictional force is equal to
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
A sphere rolls down an inclined plane of inclination θ. What is the acceleration as the sphere reaches bottom?
A sphere rolls down an inclined plane of inclination θ. What is the acceleration as the sphere reaches bottom?
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
In a bicycle, the radius of rear wheel is twice the radius of front wheel. If rf and rr are the radius, vf and vr are the speeds of top most points of wheel, then
In a bicycle, the radius of rear wheel is twice the radius of front wheel. If rf and rr are the radius, vf and vr are the speeds of top most points of wheel, then
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
In the given figure, what is the angle of prism?
In the given figure, what is the angle of prism?
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Moment of inertia of an object does not depend upon
Moment of inertia of an object does not depend upon
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A particle falls towards earth from infinity. Its velocity on reaching the earth would be
A particle falls towards earth from infinity. Its velocity on reaching the earth would be
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Universal gas constant is
Universal gas constant is
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Two bodies of mass m and 4m have equal kinetic energy. What is the ratio of their momentum?
Two bodies of mass m and 4m have equal kinetic energy. What is the ratio of their momentum?
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A gas at state A changes to state B through path I and II shown in figure. The change in internal energy is ΔU1 and ΔU2, respectively. Then

A gas at state A changes to state B through path I and II shown in figure. The change in internal energy is ΔU1 and ΔU2, respectively. Then

Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
According to Kepler's law, the time period of a satellite varies with its radius as
According to Kepler's law, the time period of a satellite varies with its radius as
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
A particle is moving in a circle with uniform speed v. In moving from a point to another diametrically opposite point
A particle is moving in a circle with uniform speed v. In moving from a point to another diametrically opposite point
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
n small metal drops of same size are charged to V volt each. If they coalesce to form a single large drop, then its potential will be
n small metal drops of same size are charged to V volt each. If they coalesce to form a single large drop, then its potential will be
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
In an adiabatic process, the state of a gas is changed from P1,V1,T1 to P2,V2,T2 Which of the following relation is correct?
In an adiabatic process, the state of a gas is changed from P1,V1,T1 to P2,V2,T2 Which of the following relation is correct?
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Minimum and maximum values of Possion's ratio for a metal lies between
Minimum and maximum values of Possion's ratio for a metal lies between
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
A wire of diameter 1mm breaks under a tension of 1000N. Another wire of same material as that of the first one, but of diameter 2mm breaks under a tension of
A wire of diameter 1mm breaks under a tension of 1000N. Another wire of same material as that of the first one, but of diameter 2mm breaks under a tension of
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
In a capillary tube experiment, a vertical, 30cm long capillary tube is dipped in water. The water rises upto a height of 10cm due to capillary action. If this experiment is conducted in a freely falling elevator, the length of the water column becomes
In a capillary tube experiment, a vertical, 30cm long capillary tube is dipped in water. The water rises upto a height of 10cm due to capillary action. If this experiment is conducted in a freely falling elevator, the length of the water column becomes
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
An aeroplane gets its upward lift due to a phenomenon described by the
An aeroplane gets its upward lift due to a phenomenon described by the
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure. Let VA,VB,VC be the potentials at points A,B and C, respectively. Then

A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure. Let VA,VB,VC be the potentials at points A,B and C, respectively. Then

Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
A parallel plate air capacitor is charged and then isolated. When a dielectric material is inserted between the plates of the capacitor, then which of the following does not change?
A parallel plate air capacitor is charged and then isolated. When a dielectric material is inserted between the plates of the capacitor, then which of the following does not change?
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A spherical drop of mercury having a potential of 2.5V is obtained as a result of merging 125 droplets. The potential of constituent droplets would be
A spherical drop of mercury having a potential of 2.5V is obtained as a result of merging 125 droplets. The potential of constituent droplets would be
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A 10 micro farad capacitor is charged to 500V and then its plates are joined together through a resistance of 10ohm. The heat produced in the resistance is
A 10 micro farad capacitor is charged to 500V and then its plates are joined together through a resistance of 10ohm. The heat produced in the resistance is
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
I−V characteristic of a copper wire of length L and area of cross-section A is shown in figure. The slope of the curve becomes

I−V characteristic of a copper wire of length L and area of cross-section A is shown in figure. The slope of the curve becomes

Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
The current in a conductor varies with time tas I=2t+3t2, where I is in ampere and t in seconds. Electric charge flowing through a section of the conductor during t=2sec to t=3sec is
The current in a conductor varies with time tas I=2t+3t2, where I is in ampere and t in seconds. Electric charge flowing through a section of the conductor during t=2sec to t=3sec is
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
If the ammeter in the given circuit reads 2A, the resistance R is
If the ammeter in the given circuit reads 2A, the resistance R is
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Susceptibility of a diamagnetic substance is
Susceptibility of a diamagnetic substance is
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
A 50 ohm galvanometer gets full scale deflection when a current of 0.01 A pass through the coil. When it is converted to a 10A ammeter, the shunt resistance is
A 50 ohm galvanometer gets full scale deflection when a current of 0.01 A pass through the coil. When it is converted to a 10A ammeter, the shunt resistance is
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A horizontal rod of length L rotates about a vertical axis with a uniform angular velocity ω. A uniform magnetic field B exists parallel to the axis of rotation. Then potential difference between the two ends of the rod is

A horizontal rod of length L rotates about a vertical axis with a uniform angular velocity ω. A uniform magnetic field B exists parallel to the axis of rotation. Then potential difference between the two ends of the rod is

Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
A current of 10A is passing through a long wire which has semicircular loop of the radius 20cm as shown in the figure. Magnetic field produced at the centre of the loop is

A current of 10A is passing through a long wire which has semicircular loop of the radius 20cm as shown in the figure. Magnetic field produced at the centre of the loop is

Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
An AC source is rated at 220V,50Hz. The time taken for voltage to change from its peak value to zero is
An AC source is rated at 220V,50Hz. The time taken for voltage to change from its peak value to zero is
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
An ideal transformer has 500 and 5000 turn in primary and secondary windings, respectively. If the primary voltage is connected to a 6V battery, then the secondary voltage is
An ideal transformer has 500 and 5000 turn in primary and secondary windings, respectively. If the primary voltage is connected to a 6V battery, then the secondary voltage is
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
Resistance in the two gaps of a meter bridge are 10Ω and 30Ω, respectively. If the resistances are inter changed, the balance point shifts by
Resistance in the two gaps of a meter bridge are 10Ω and 30Ω, respectively. If the resistances are inter changed, the balance point shifts by
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
When a plane electromagnetic wave enters a glass slab, then which of the following will not change?
When a plane electromagnetic wave enters a glass slab, then which of the following will not change?
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A source emits a sound of frequency of 400Hz, but the listener hears its to be 390Hz. Then
A source emits a sound of frequency of 400Hz, but the listener hears its to be 390Hz. Then
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
An open pipe resonates with a tuning fork of frequency 500Hz. It is observed that two successive nodes are formed at distances 16 and 46cm from the open end. The speed of sound in air in the pipe is
An open pipe resonates with a tuning fork of frequency 500Hz. It is observed that two successive nodes are formed at distances 16 and 46cm from the open end. The speed of sound in air in the pipe is
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
It takes 2.0 seconds for a sound wave to travel between two fixed points when the day temperature is 10°C. If the temperature rises to 30°C, the sound wave travels between the same fixed parts in
It takes 2.0 seconds for a sound wave to travel between two fixed points when the day temperature is 10°C. If the temperature rises to 30°C, the sound wave travels between the same fixed parts in
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Two plane mirrors are inclined to each other at an angle of 60°. A point object is placed in between them. The total number of images produced by both the mirrors is
Two plane mirrors are inclined to each other at an angle of 60°. A point object is placed in between them. The total number of images produced by both the mirrors is
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
For a real object, which of the following can produce a real image?
For a real object, which of the following can produce a real image?
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Chemistry
The standard e.m.f. for the cell reaction,
2Cu+(aq) ────▸Cu(s)+Cu2+(aq)
is +0.36V at 298K. The equilibrium constant of the reaction is
Chemistry
The standard e.m.f. for the cell reaction,
2Cu+(aq) ────▸Cu(s)+Cu2+(aq)
is +0.36V at 298K. The equilibrium constant of the reaction is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
The standard e.m.f. of the cell, Cd(s)|CdCl2(aq)(0.1M)|AgCl(s)|Ag(s)
in which the cell reaction is
Cd(s)+2AgCl(s) ────▸2Ag(s)+Cd2+(aq) +2Cl−(aq)
is 0.6915V at 0°C and 0.6753V at 25°C.
The enthalpy change of the reaction at 25°C is
The standard e.m.f. of the cell, Cd(s)|CdCl2(aq)(0.1M)|AgCl(s)|Ag(s)
in which the cell reaction is
Cd(s)+2AgCl(s) ────▸2Ag(s)+Cd2+(aq) +2Cl−(aq)
is 0.6915V at 0°C and 0.6753V at 25°C.
The enthalpy change of the reaction at 25°C is
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Which of the following statement is true?
Which of the following statement is true?
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
Which of the following statement is not true?
Which of the following statement is not true?
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
The unit of second order reaction rate constant is;
The unit of second order reaction rate constant is;
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Hess law states that,
Hess law states that,
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
One gram of (A) decays by β -emission to 0.125g in 200 years. The half-life period of the reaction is
One gram of (A) decays by β -emission to 0.125g in 200 years. The half-life period of the reaction is
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Isotopes are
Isotopes are
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Acid hydrolysis of sucrose is a
Acid hydrolysis of sucrose is a
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
The product obtained after position emission from ‌31Ga68 is
The product obtained after position emission from ‌31Ga68 is
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
An aqueous solution in which the H+ ion concentration is greater than 10−7M is said to be
An aqueous solution in which the H+ ion concentration is greater than 10−7M is said to be
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
In the hydrolysis of a salt of weak acid and weak base, the hydrolysis constant Kh is equal to
In the hydrolysis of a salt of weak acid and weak base, the hydrolysis constant Kh is equal to
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
In the nuclear reaction
‌13Al27+‌2He4 ────▸‌14X30+‌1H1,X is
In the nuclear reaction
‌13Al27+‌2He4 ────▸‌14X30+‌1H1,X is
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
What kind of a molecule AlCl3 is?
What kind of a molecule AlCl3 is?
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
How much K2Cr2O7 (molecular weight =294.19 ) is required to prepare one litre of 0.1 N solution ?
How much K2Cr2O7 (molecular weight =294.19 ) is required to prepare one litre of 0.1 N solution ?
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
A gas can expand from 100mL to 250mL under a constant pressure of 2atm. The work done by gas is
A gas can expand from 100mL to 250mL under a constant pressure of 2atm. The work done by gas is
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
It the r.m.s. speed of a gaseous molecule is xm∕sec at a pressure patm, then what will be the r.m.s. speed at a pressure 2p atm and constant temperature?
It the r.m.s. speed of a gaseous molecule is xm∕sec at a pressure patm, then what will be the r.m.s. speed at a pressure 2p atm and constant temperature?
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
Ionic mobility of Ag+ is (λAg+=5×10−1ohm−1cm2eq−1)
Ionic mobility of Ag+ is (λAg+=5×10−1ohm−1cm2eq−1)
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
Which among the following is the strongest acid?
Which among the following is the strongest acid?
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
What is the general outer electronic configuration of the coinage metals?
What is the general outer electronic configuration of the coinage metals?
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
How does the ionisation energy of 1 st group elements vary?
How does the ionisation energy of 1 st group elements vary?
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
What is the oxidation number of chlorine in ClO3− ?
What is the oxidation number of chlorine in ClO3− ?
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
What type of hybridisation takes place in the N atom of NH3 ?
What type of hybridisation takes place in the N atom of NH3 ?
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
What is the co-ordination number of Cl− in NaCl crystal?
What is the co-ordination number of Cl− in NaCl crystal?
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
How many electrons are involved in oxidation of KMnO4 in basic medium?
How many electrons are involved in oxidation of KMnO4 in basic medium?
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
The magnetic moment of K3[Fe(CN)6] is found to be 1.7 BM. How many unpaired electron(s) is/are present per molecule?
The magnetic moment of K3[Fe(CN)6] is found to be 1.7 BM. How many unpaired electron(s) is/are present per molecule?
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
Which among the following is an electron deficient compound?
Which among the following is an electron deficient compound?
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Arrange the hydra-acids of halogens in increasing order of acidity.
Arrange the hydra-acids of halogens in increasing order of acidity.
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
What is the product of the reaction of H2O2 with Cl2 ?
What is the product of the reaction of H2O2 with Cl2 ?
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Which of the following organo-silicon compound on hydrolysis will given a three dimensional silicon?
Which of the following organo-silicon compound on hydrolysis will given a three dimensional silicon?
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
How can you synthesise nitric oxide in the laboratory?
How can you synthesise nitric oxide in the laboratory?
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Which colourless gas evolves when NH4Cl reacts with zinc in a dry cell battery?
Which colourless gas evolves when NH4Cl reacts with zinc in a dry cell battery?
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
What is the nature of the bond between B and O in (C2H5)‌2OBH3?
What is the nature of the bond between B and O in (C2H5)‌2OBH3?
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
An alkene gives two moles of HCHO, one mole of CO2 and one mole of CH3COCHO on ozonolysis. What is its structure?
An alkene gives two moles of HCHO, one mole of CO2 and one mole of CH3COCHO on ozonolysis. What is its structure?
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
IUPAC name of the compound,

IUPAC name of the compound,

Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
The order of melting point of ortho, para, meta-nitrophenol is
The order of melting point of ortho, para, meta-nitrophenol is
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
When CHCl3 is boiled with NaOH, it gives
When CHCl3 is boiled with NaOH, it gives
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Which of the following is an example of ketohexose?
Which of the following is an example of ketohexose?
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
When aniline is treated with sodium nitrite and hydrochloric acid at 0°C, it gives
When aniline is treated with sodium nitrite and hydrochloric acid at 0°C, it gives
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
The key step in cannizzaro's reaction is the intermolecular shift of
The key step in cannizzaro's reaction is the intermolecular shift of
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
Aldehydes and ketones can be reduced to hydrocarbon by using
Aldehydes and ketones can be reduced to hydrocarbon by using
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
Cinnamic acid is formed when C6H5− CHO condenses with (CH3CO)2Oin presence of
Cinnamic acid is formed when C6H5− CHO condenses with (CH3CO)2Oin presence of
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
What is the product of the reaction of phenol with CHCl3 in aqueous NaOH and subsequent acid hydrolysis?
What is the product of the reaction of phenol with CHCl3 in aqueous NaOH and subsequent acid hydrolysis?
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
On treatment with chlorine in presence of sunlight, toluene gives the product
On treatment with chlorine in presence of sunlight, toluene gives the product
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
Which of the following cycloalkane gives open chain compound, when reacts with bromine?
Which of the following cycloalkane gives open chain compound, when reacts with bromine?
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
If the dipole moment of toluene and nitro-benzene are 0.43D and 3.93D, then what is the expected dipole moment of p -nitro toluene?
If the dipole moment of toluene and nitro-benzene are 0.43D and 3.93D, then what is the expected dipole moment of p -nitro toluene?
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
What is the product when 2 -butyne is treated with liquid NH3 in presence of lithium?
What is the product when 2 -butyne is treated with liquid NH3 in presence of lithium?
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
In the dichlorination reaction of propane, mixture of products are obtained. How many isomers the mixture contains?
In the dichlorination reaction of propane, mixture of products are obtained. How many isomers the mixture contains?
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
Cyclopentadienyl anion is
Cyclopentadienyl anion is
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
The most common type of reaction in aromatic compounds is
The most common type of reaction in aromatic compounds is
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
Mathematics
The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y−z+4=0 and parallel to X -axis is
Mathematics
The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y−z+4=0 and parallel to X -axis is
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
If the point (a,a) falls between the lines |x+y|=4, then
If the point (a,a) falls between the lines |x+y|=4, then
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
If A,B,C,D are the points (2,3,−1), (3,5,−3),(1,2,3),(3,5,7) respectively, then the angle between AB and CD is
If A,B,C,D are the points (2,3,−1), (3,5,−3),(1,2,3),(3,5,7) respectively, then the angle between AB and CD is
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
A five digits number is formed by writing the digits 1,2,3,4,5 in a random order without repetitions. Then the probability that the number is divisible by 4 , is
A five digits number is formed by writing the digits 1,2,3,4,5 in a random order without repetitions. Then the probability that the number is divisible by 4 , is
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
Two persons A and B take turns in throwing a pair of dice. The first person to throw 9 from both dice will be awarded the price. If A throws first, then the probability that B wins
Two persons A and B take turns in throwing a pair of dice. The first person to throw 9 from both dice will be awarded the price. If A throws first, then the probability that B wins
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
The probability that in a year of the 22 nd century chosen at random, then there will be 53 Sundays, is
The probability that in a year of the 22 nd century chosen at random, then there will be 53 Sundays, is
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
The standard deviation of a variable x is 10. Then the standard deviation of 50+5x is
The standard deviation of a variable x is 10. Then the standard deviation of 50+5x is
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
A real value of x will satisfy the equation (
3−4ix
3+4ix
)=α−iβ(α,β are real ), if
A real value of x will satisfy the equation (
3−4ix
3+4ix
)=α−iβ(α,β are real ), if
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
If ω is a complex cube root of unity, then the value of
p+qω+rω2
r+pω+qω2
+
p+qω+rω2
q+rω+pω2
(p,q,r∈R) is equal to
If ω is a complex cube root of unity, then the value of
p+qω+rω2
r+pω+qω2
+
p+qω+rω2
q+rω+pω2
(p,q,r∈R) is equal to
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
If P,Q,R,S are represented by the complex numbers 4+i,1+6i,−4+3i −1−2i respectively, then PQRS is a
If P,Q,R,S are represented by the complex numbers 4+i,1+6i,−4+3i −1−2i respectively, then PQRS is a
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
If n is a positive integer, then (1+i)n+(1−i)n is equal to
If n is a positive integer, then (1+i)n+(1−i)n is equal to
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
The number of ways in which 9 persons can be divided into three equal groups is
The number of ways in which 9 persons can be divided into three equal groups is
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
A dictionary is printed consisting of 7 letters words only that can be made with a letters of word CRICKET. If the words are printed at the alphabetical order as in an ordinary dictionary, then the number of words before the word CRICKET is
A dictionary is printed consisting of 7 letters words only that can be made with a letters of word CRICKET. If the words are printed at the alphabetical order as in an ordinary dictionary, then the number of words before the word CRICKET is
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
If the sum of the coefficient in the expansion of (x+y)n is 1024 , then the value of the greatest coefficient in the expansion is
If the sum of the coefficient in the expansion of (x+y)n is 1024 , then the value of the greatest coefficient in the expansion is
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
An investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee, 30 students take coffee and tea, 25 students take milk and tea, 12 students take milk only, 5 students take coffee only and 8 students take tea only. Then the number of students who did not take any of the three drinks is
An investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee, 30 students take coffee and tea, 25 students take milk and tea, 12 students take milk only, 5 students take coffee only and 8 students take tea only. Then the number of students who did not take any of the three drinks is
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
Let Y={1,2,3,4,5},A={1,2}, B={3,4,5}and ϕ denotes null set. If (A×B) denotes cartesian product of the sets A and B, then (Y×A)∩(Y×B) is
Let Y={1,2,3,4,5},A={1,2}, B={3,4,5}and ϕ denotes null set. If (A×B) denotes cartesian product of the sets A and B, then (Y×A)∩(Y×B) is
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
Let A={2,3,4,5,.......,16,17,18}. Let ≈be the equivalence relation on A×A cartesian product of A and A, defined by (a,b)≈(c,d) if ad=bc, then the number of ordered pairs of the equivalence class of (3,2) is
Let A={2,3,4,5,.......,16,17,18}. Let ≈be the equivalence relation on A×A cartesian product of A and A, defined by (a,b)≈(c,d) if ad=bc, then the number of ordered pairs of the equivalence class of (3,2) is
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
It a, b be two fixed positive integers such that f(a+x)=b+[b3+1−3b2f(x).+3b{f(x)−{f(x)}3}]1∕3 for all real xthen f(x) is a periodic function with period
It a, b be two fixed positive integers such that f(a+x)=b+[b3+1−3b2f(x).+3b{f(x)−{f(x)}3}]1∕3 for all real xthen f(x) is a periodic function with period
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
The domain of the function f(x)=log3+x(x2−1) is
The domain of the function f(x)=log3+x(x2−1) is
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
The value of cot‌70°+4‌cos‌70° is
The value of cot‌70°+4‌cos‌70° is
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
The equation sin‌x+sin‌y+sin‌z=−3for 0≤x≤2π,0≤y≤2π,0≤z≤2π has
The equation sin‌x+sin‌y+sin‌z=−3for 0≤x≤2π,0≤y≤2π,0≤z≤2π has
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
If θ=sin−1x+cos−1x−tan−1x,x≥0 then the smallest interval in which θ lies is
If θ=sin−1x+cos−1x−tan−1x,x≥0 then the smallest interval in which θ lies is
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
Let A,B and C are the angles of a plain triangle and tan(
A
2
)=
1
3
,‌‌‌tan(
B
2
)=
2
3
.
Then, tan(
C
2
) is equal to
Let A,B and C are the angles of a plain triangle and tan(
A
2
)=
1
3
,‌‌‌tan(
B
2
)=
2
3
.
Then, tan(
C
2
) is equal to
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
If α,β(α≠β) satisfies the equation a‌cos‌θ+b‌sin‌θ=c, then the value of tan(
α+β
2
) is
If α,β(α≠β) satisfies the equation a‌cos‌θ+b‌sin‌θ=c, then the value of tan(
α+β
2
) is
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
A ray of light passing through the point (1,2) is reflected on the x -axis at a point P and passes through the point (5,3), then the abscissa of a point P is
A ray of light passing through the point (1,2) is reflected on the x -axis at a point P and passes through the point (5,3), then the abscissa of a point P is
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
The equation 4x2−24xy+11y2=0 represents
The equation 4x2−24xy+11y2=0 represents
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
The length of the chord joining the points in which the straight line
x
3
+
y
4
=1 cuts the circle x2+y2=
169
25
 is
The length of the chord joining the points in which the straight line
x
3
+
y
4
=1 cuts the circle x2+y2=
169
25
 is
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
The normal to the parabola y2=8x at the point (2,4) meets the parabola again at the point
The normal to the parabola y2=8x at the point (2,4) meets the parabola again at the point
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
If a bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any point on bar marked on the bar describes a/an
If a bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any point on bar marked on the bar describes a/an
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
The straight line x+y=√2p will touch the hyperbola 4x2−9y2=36 if
The straight line x+y=√2p will touch the hyperbola 4x2−9y2=36 if
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
The function f(x)=
1−sin‌x+cos‌x
1+sin‌x+cos‌x
 is not defined at x=π. The value of f(π), so that f(x) is continuous at x=π, is
The function f(x)=
1−sin‌x+cos‌x
1+sin‌x+cos‌x
 is not defined at x=π. The value of f(π), so that f(x) is continuous at x=π, is
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
If f(x)=sin2x and the composite function g(f(x))=|sin‌x|, then the function g(x) is equal to
If f(x)=sin2x and the composite function g(f(x))=|sin‌x|, then the function g(x) is equal to
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
Area of the figure bounded by the curves y=|x−1| and y=3−|x| is
Area of the figure bounded by the curves y=|x−1| and y=3−|x| is
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
Let x=[
a+2b
a+b
] and y=
a
b
, where a and b are positive integers. If y2>2, then
Let x=[
a+2b
a+b
] and y=
a
b
, where a and b are positive integers. If y2>2, then
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
1
∫
0
tan−1(
1
x2−x+1
)dx is
1
∫
0
tan−1(
1
x2−x+1
)dx is
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
The curves x=log(y+e) and y=log(
1
x
)
The curves x=log(y+e) and y=log(
1
x
)
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
lim
x→0
cos(sin‌x)−1
x2
 equals
lim
x→0
cos(sin‌x)−1
x2
 equals
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
Let a,b,c be three vectors form a×(b×c)=(a×b)×c, if
Let a,b,c be three vectors form a×(b×c)=(a×b)×c, if
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
If
^
i
,
^
j
,
^
k
 are unit vectors and |a|=a, then the value of |
^
i
×a|2+|
^
j
×a|2+|
^
k
×a|2 is
If
^
i
,
^
j
,
^
k
 are unit vectors and |a|=a, then the value of |
^
i
×a|2+|
^
j
×a|2+|
^
k
×a|2 is
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
If the area above the X -axis bounded by the curves y=2kx and x=0 and x=2 is
3
log‌2
, then the value of k is
If the area above the X -axis bounded by the curves y=2kx and x=0 and x=2 is
3
log‌2
, then the value of k is
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
The value of
b
∫
a
x
|x|
dx,a<b<0 is
The value of
b
∫
a
x
|x|
dx,a<b<0 is
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
The value of
2
∫
−2
[p‌log(
1+x
1−x
)+q‌log(
1−x
1+x
)−2+r]dx
depends on
The value of
2
∫
−2
[p‌log(
1+x
1−x
)+q‌log(
1−x
1+x
)−2+r]dx
depends on
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
A curve having the condition that the slope of tangent at some point is two times the slope of the straight line joining the same point to the origin of co-ordinates, is a/an
A curve having the condition that the slope of tangent at some point is two times the slope of the straight line joining the same point to the origin of co-ordinates, is a/an
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
If a is an arbitrary constant, then solution of the differential equation
dy
dx
+√
1−y2
1−x2
=0 is
If a is an arbitrary constant, then solution of the differential equation
dy
dx
+√
1−y2
1−x2
=0 is
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
A particle is moving along the curve x=at2+bt+c. If ac=b2, then the particle would be moving with uniform
A particle is moving along the curve x=at2+bt+c. If ac=b2, then the particle would be moving with uniform
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
The solution of the equation x2
d2y
dx2
=log‌x when x=1,y=0 and
dy
dx
=−1 is
The solution of the equation x2
d2y
dx2
=log‌x when x=1,y=0 and
dy
dx
=−1 is
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
Let the unit vectors a and b be perpendicular to each other and the unit vector c be inclined at an angle θ to both a and b. If c=αa+βb+γ(a.b), where α,β,γ are scalars, then
Let the unit vectors a and b be perpendicular to each other and the unit vector c be inclined at an angle θ to both a and b. If c=αa+βb+γ(a.b), where α,β,γ are scalars, then
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
If y=
1
√a2−b2
cos−1[
a‌cos(x−a)+b
θ
] where θ=a+b‌cos(x−α), then
dy
dx
 is equal to
If y=
1
√a2−b2
cos−1[
a‌cos(x−a)+b
θ
] where θ=a+b‌cos(x−α), then
dy
dx
 is equal to
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
Let K be a set of real number and f:K→R such that for all x and y |f(x)−f(y)|≤|x−y|5. If f(3)=7, then the value of f(9) is equal to
Let K be a set of real number and f:K→R such that for all x and y |f(x)−f(y)|≤|x−y|5. If f(3)=7, then the value of f(9) is equal to
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
If f(x)=
1
1−x
 then the derivative of the composite function f[f{f(x)}] is equal to
If f(x)=
1
1−x
 then the derivative of the composite function f[f{f(x)}] is equal to
Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Click on Allow to receive notifications
×
Open Now