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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
If L,C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency?
If L,C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency?
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
The pressure applied from all directions on a cube is p. How much its temperature should be raised to maintain the original volume? The volume elasticity of the cube is β and the coefficient of volume expansion is α.
The pressure applied from all directions on a cube is p. How much its temperature should be raised to maintain the original volume? The volume elasticity of the cube is β and the coefficient of volume expansion is α.
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
As shown in figure, the tension in the horizontal cord is 30N. The weight w and tension in the string OA in newton are

As shown in figure, the tension in the horizontal cord is 30N. The weight w and tension in the string OA in newton are

Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A car turns a corner on a slippery road at a constant speed of 10m∕s. If the coefficient of friction is 0.5, the minimum radius of the arc in metre in which the car turns is
A car turns a corner on a slippery road at a constant speed of 10m∕s. If the coefficient of friction is 0.5, the minimum radius of the arc in metre in which the car turns is
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
A particle suspended from a vertical spring oscillates 10 times per second. At the highest point of oscillation, the spring becomes upstretched. Find the speed when the spring is stretched by 0.20cm.
(Take, g=π2m∕s2)
A particle suspended from a vertical spring oscillates 10 times per second. At the highest point of oscillation, the spring becomes upstretched. Find the speed when the spring is stretched by 0.20cm.
(Take, g=π2m∕s2)
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Two cells of equal emf and of internal resistances r1 and r2(r1>r2) are connected in series. On connecting this combination to an external resistance R, it is observed that the potential difference across the first cell becomes zero. The value of R will be
Two cells of equal emf and of internal resistances r1 and r2(r1>r2) are connected in series. On connecting this combination to an external resistance R, it is observed that the potential difference across the first cell becomes zero. The value of R will be
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Which logic gate is represented by the following combination of logic gates?
Which logic gate is represented by the following combination of logic gates?
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Calculate the electric and magnetic fields produced by the radiation coming from a 30πW bulb at a distance of 3m. Assume that the efficiency of the bulb is 10% and it is a point source.
Calculate the electric and magnetic fields produced by the radiation coming from a 30πW bulb at a distance of 3m. Assume that the efficiency of the bulb is 10% and it is a point source.
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
One end of a uniform wire of length L and of weight w is attached rigidly to a point in the roof and a weight w1 is suspended from its lower end. If S is the area of cross-section of the wire, then the stress in the wire at a height ‌
3L
4
 from its lower end is
One end of a uniform wire of length L and of weight w is attached rigidly to a point in the roof and a weight w1 is suspended from its lower end. If S is the area of cross-section of the wire, then the stress in the wire at a height ‌
3L
4
 from its lower end is
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
When a tuning fork A of frequency 100Hz is sounded with a tuning fork B, the number of beats per second is 2. On putting some wax on the prongs of B, the number of beats per second becomes 1 . The frequency of the fork B is
When a tuning fork A of frequency 100Hz is sounded with a tuning fork B, the number of beats per second is 2. On putting some wax on the prongs of B, the number of beats per second becomes 1 . The frequency of the fork B is
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
A 200km long telegraph wire has a capacitance of 0.014µF∕km. If it carries an alternating current of 50×103Hz, what should be the value of an inductance required to be connected in series, so that impedance is minimum?
A 200km long telegraph wire has a capacitance of 0.014µF∕km. If it carries an alternating current of 50×103Hz, what should be the value of an inductance required to be connected in series, so that impedance is minimum?
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The density of liquid contained in the tank of area 0.5m2 is 1200kg∕m2. It has a hole of area 1cm2 near the bottom. A load of 30kg is applied on the liquid at the top. Find the velocity of efflux when the height of liquid level is 75cm above the bottom.
(Take, g=10m∕s2)
The density of liquid contained in the tank of area 0.5m2 is 1200kg∕m2. It has a hole of area 1cm2 near the bottom. A load of 30kg is applied on the liquid at the top. Find the velocity of efflux when the height of liquid level is 75cm above the bottom.
(Take, g=10m∕s2)
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The rear side of a truck is open and a box of mass 2kg is placed on the truck 8m away from the open end. The truck starts from rest with an acceleration of 2m∕s2 on a straight road. The box will fall off the truck when it is at distance from the starting point equal to
(Given, µ=0.1 and g=10m∕s2 ).
The rear side of a truck is open and a box of mass 2kg is placed on the truck 8m away from the open end. The truck starts from rest with an acceleration of 2m∕s2 on a straight road. The box will fall off the truck when it is at distance from the starting point equal to
(Given, µ=0.1 and g=10m∕s2 ).
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
In Young's double slit experiment, one of the slit is wider than another, so that amplitude of the light from one slit is double of that from other slit. If Im be the maximum intensity, the resultant intensity I when they interfere at phase difference φ is given by
In Young's double slit experiment, one of the slit is wider than another, so that amplitude of the light from one slit is double of that from other slit. If Im be the maximum intensity, the resultant intensity I when they interfere at phase difference φ is given by
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
The length of a magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetometer is 2s. The magnet is cut along its length into three equal parts and three parts are then placed on each other with their like poles together. The time period of this combination will be
The length of a magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetometer is 2s. The magnet is cut along its length into three equal parts and three parts are then placed on each other with their like poles together. The time period of this combination will be
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
A cubical box with porous walls containing an equal number of O2 and H2 molecules is placed in a larger evacuated chamber. The entire system is maintained at constant temperature T. The ratio of V‌rms ‌ of O2 molecules to that of the V‌rms ‌ of H2 molecules, found in the chamber outside the box after a short interval is
A cubical box with porous walls containing an equal number of O2 and H2 molecules is placed in a larger evacuated chamber. The entire system is maintained at constant temperature T. The ratio of V‌rms ‌ of O2 molecules to that of the V‌rms ‌ of H2 molecules, found in the chamber outside the box after a short interval is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Two stretched wires are in unison. If the tension in one of the wire is increased by 1%, 3beats are produced in 2s. The initial frequency of each wire is
Two stretched wires are in unison. If the tension in one of the wire is increased by 1%, 3beats are produced in 2s. The initial frequency of each wire is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Figure given below shows two identical parallel plate capacitors connected to a battery with switch S closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 2 . What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric?

Figure given below shows two identical parallel plate capacitors connected to a battery with switch S closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 2 . What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric?

Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A bullet of mass 10g moving horizontally at a speed of 140m∕s strikes a block of mass 100g attached to a string like a simple pendulum. The bullet penetrates the block and emerges then on the other side. If the block rises by 80cm, then find the final velocity of bullet.
A bullet of mass 10g moving horizontally at a speed of 140m∕s strikes a block of mass 100g attached to a string like a simple pendulum. The bullet penetrates the block and emerges then on the other side. If the block rises by 80cm, then find the final velocity of bullet.
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Three blocks A,B and C each of mass 2kg, are hanging over a fixed pulley as shown in the figure. The tension in the string connecting B and C is

Three blocks A,B and C each of mass 2kg, are hanging over a fixed pulley as shown in the figure. The tension in the string connecting B and C is

Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Two balls of masses m and 2m are attached to the ends of a light rod of length L. The rod rotates with an angular speed ω about an axis passing through the centre of mass of system and perpendicular to the plane. Find the angular momentum of the system about the axis of rotation.
Two balls of masses m and 2m are attached to the ends of a light rod of length L. The rod rotates with an angular speed ω about an axis passing through the centre of mass of system and perpendicular to the plane. Find the angular momentum of the system about the axis of rotation.
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A ray of light is incident on a surface of glass slab at an angle 45∘. If the lateral shift produced per unit thickness is 1∕√3, then the angle of refraction produced is
A ray of light is incident on a surface of glass slab at an angle 45∘. If the lateral shift produced per unit thickness is 1∕√3, then the angle of refraction produced is
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
A shell bursts on contact with the ground and pieces from it fly in all directions with velocities upto 60m∕s. Find the time for which a man 180m away is in danger.
A shell bursts on contact with the ground and pieces from it fly in all directions with velocities upto 60m∕s. Find the time for which a man 180m away is in danger.
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Two straight long conductors AOB and COD are perpendicular to each other and carry currents i1 and i2. The magnitude of the magnetic induction at a point P at a distance a from the point O in a direction perpendicular to the plane ABCD is
Two straight long conductors AOB and COD are perpendicular to each other and carry currents i1 and i2. The magnitude of the magnetic induction at a point P at a distance a from the point O in a direction perpendicular to the plane ABCD is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The mean lives of a radioactive substance are 1620yr and 405yr for α-emission and β-emission, respectively. Find out the time during which three-fourth of a sample will decay, if it is decaying both by α-emission and β-emission simultaneously.
The mean lives of a radioactive substance are 1620yr and 405yr for α-emission and β-emission, respectively. Find out the time during which three-fourth of a sample will decay, if it is decaying both by α-emission and β-emission simultaneously.
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A block of mass m is in contact with the cart C as shown in the figure.
The coefficient of static friction between the block and the cart is µ. The acceleration α of the cart that will prevent the block from falling satisfies.
A block of mass m is in contact with the cart C as shown in the figure.

The coefficient of static friction between the block and the cart is µ. The acceleration α of the cart that will prevent the block from falling satisfies.
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Velocity of sound in a gaseous medium is 330ms−1. If the pressure is increased by 4 times without change in temperature, the velocity of sound in the gas is
Velocity of sound in a gaseous medium is 330ms−1. If the pressure is increased by 4 times without change in temperature, the velocity of sound in the gas is
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Kepler's third law states that the square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance, r between the sun and the planet
i.e. T2=Kr3,
Here, K is constant.
If masses of the sun and the planet are M and m respectively, then as per Newton's law of gravitation, force of attraction between them is F=‌
GMm
r2
, where G is gravitational constant.
The relation between G and K is described as
Kepler's third law states that the square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance, r between the sun and the planet
i.e. T2=Kr3,
Here, K is constant.
If masses of the sun and the planet are M and m respectively, then as per Newton's law of gravitation, force of attraction between them is F=‌
GMm
r2
, where G is gravitational constant.
The relation between G and K is described as
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Two positive ions, each carrying a charge q are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be ( e being the charge on an electron)
Two positive ions, each carrying a charge q are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be ( e being the charge on an electron)
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A capacitor of capacitance 5µF is connected as shown in the figure. The internal resistance of the cell is 0.5Ω. The amount of charge on the capacitor plate is

A capacitor of capacitance 5µF is connected as shown in the figure. The internal resistance of the cell is 0.5Ω. The amount of charge on the capacitor plate is

Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
If pressure of CO2 (real gas) in a container is given by P=‌
RT
2v−b
−‌
a
4b2
, then mass of the gas in container is
If pressure of CO2 (real gas) in a container is given by P=‌
RT
2v−b
−‌
a
4b2
, then mass of the gas in container is
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Thirteen resistances each of resistance R ohm are connected in the circuit as shown in the figure below. The effective resistance between A and B is

Thirteen resistances each of resistance R ohm are connected in the circuit as shown in the figure below. The effective resistance between A and B is

Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A tangential force F acts at the top of a thin spherical shell of mass ' m′ and radius R. The acceleration of the shell, if it rolls without slipping is

A tangential force F acts at the top of a thin spherical shell of mass ' m′ and radius R. The acceleration of the shell, if it rolls without slipping is

Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
As given in the figure a series circuit connected across a 200V,60Hz line consists of a capacitor of capacitive reactance 30Ω, a non-inductive resistor of resistance 44Ω, a coil of inductive reactance 90Ω and another resistance of resistance 36Ω. The power dissipated in the circuit is

As given in the figure a series circuit connected across a 200V,60Hz line consists of a capacitor of capacitive reactance 30Ω, a non-inductive resistor of resistance 44Ω, a coil of inductive reactance 90Ω and another resistance of resistance 36Ω. The power dissipated in the circuit is

Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
A cylindrical vessel of radius r containing a liquid is rotating about a vertical axis through the centre of circular base. If the vessel is rotating with angular velocity ω, then what is difference of the height of liquid at the centre of vessel and edge?
A cylindrical vessel of radius r containing a liquid is rotating about a vertical axis through the centre of circular base. If the vessel is rotating with angular velocity ω, then what is difference of the height of liquid at the centre of vessel and edge?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
Two water pipes of diameters 2cm and 4cm are connected with the main supply line. The velocity of flow of water in the pipe of 2 cm diameter is
Two water pipes of diameters 2cm and 4cm are connected with the main supply line. The velocity of flow of water in the pipe of 2 cm diameter is
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
A coil in the shape of an equilateral triangle of side l is suspended between two pole pieces of a permanent magnet, such that magnetic field, B is in plane of the coil. If due to a current I in the triangle, a torque τ acts on it, the side l of the triangle is
A coil in the shape of an equilateral triangle of side l is suspended between two pole pieces of a permanent magnet, such that magnetic field, B is in plane of the coil. If due to a current I in the triangle, a torque τ acts on it, the side l of the triangle is
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Two polaroids are crossed. If now one of them is rotated through an angle of 30∘ and unpolarised light of intensity I0 is incident on the first polariod, then the intensity of transmitted light will be
Two polaroids are crossed. If now one of them is rotated through an angle of 30∘ and unpolarised light of intensity I0 is incident on the first polariod, then the intensity of transmitted light will be
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
If a body coated black at 600K surrounded by atmosphere at 300K has cooling rate r0, the same body at 900K, surrounded by the same atmosphere will have cooling rate equal to
If a body coated black at 600K surrounded by atmosphere at 300K has cooling rate r0, the same body at 900K, surrounded by the same atmosphere will have cooling rate equal to
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
If force (F), length (L) and time (T) be considered fundamental units, then the units of mass will be
If force (F), length (L) and time (T) be considered fundamental units, then the units of mass will be
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
Figure shows a simple potentiometer circuit for measuring a small emf produced by a thermocouple

The meter wire PQ has a resistance of 5Ω and the driver cell has an emf of 2.00V. If a balance point is obtained at 0.600m along PQ, when measuring an emf of 6.00mV, then what is the value of resistance R ?
Figure shows a simple potentiometer circuit for measuring a small emf produced by a thermocouple

The meter wire PQ has a resistance of 5Ω and the driver cell has an emf of 2.00V. If a balance point is obtained at 0.600m along PQ, when measuring an emf of 6.00mV, then what is the value of resistance R ?
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
A beam of light (λ=600nm) from a distant source, falls on a single slit 1mm wide and the resulting diffraction pattern is observed on a screen 2m away. The distance between the first dark fringes on either side of the central bright fringe is
A beam of light (λ=600nm) from a distant source, falls on a single slit 1mm wide and the resulting diffraction pattern is observed on a screen 2m away. The distance between the first dark fringes on either side of the central bright fringe is
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
A glass prism ABC (refractive index 1.5), immersed in water (refractive index ‌
4
3
 ). A ray of light is incident normally on face AB. If it is totally reflected at face AC, then

A glass prism ABC (refractive index 1.5), immersed in water (refractive index ‌
4
3
 ). A ray of light is incident normally on face AB. If it is totally reflected at face AC, then

Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
An ideal gas is taken through a cyclic thermodynamical process through four steps. The amounts of heat involved in these steps are Q1=5960J,Q2=−5585J, Q3=−2980J and Q4=3645J, respectively. The corres- ponding works involved are W1=2200J,W2=−825J,W3=−1100J and W4, respectively. The value of W4 is
An ideal gas is taken through a cyclic thermodynamical process through four steps. The amounts of heat involved in these steps are Q1=5960J,Q2=−5585J, Q3=−2980J and Q4=3645J, respectively. The corres- ponding works involved are W1=2200J,W2=−825J,W3=−1100J and W4, respectively. The value of W4 is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
If the series limit wavelength of the Lyman series of hydrogen atom is 912Å, then the series limit wavelength of the Balmer series of the hydrogen atom is
If the series limit wavelength of the Lyman series of hydrogen atom is 912Å, then the series limit wavelength of the Balmer series of the hydrogen atom is
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A transformer having efficiency of 90% is working on 200V and 3kW power supply. If the current in the secondary coil is 6A the voltage across the secondary coil and the current in the primary coil respectively are
A transformer having efficiency of 90% is working on 200V and 3kW power supply. If the current in the secondary coil is 6A the voltage across the secondary coil and the current in the primary coil respectively are
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
A beam of light consisting of red, green and blue colours, is incident on a right-angled prism. The refractive indices of the material of the prism for the above red, green and blue wavelengths are 1.39,1.44 and 1.47, respectively. The prism will
A beam of light consisting of red, green and blue colours, is incident on a right-angled prism. The refractive indices of the material of the prism for the above red, green and blue wavelengths are 1.39,1.44 and 1.47, respectively. The prism will
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A light ray falls on a square glass slab as shown in the figure. The index of refraction of the glass, if total internal reflection is occur at vertical face, is equal to

A light ray falls on a square glass slab as shown in the figure. The index of refraction of the glass, if total internal reflection is occur at vertical face, is equal to

Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
A 4cm thick layer of water covers a 6cm thick glass slab. A coin is placed at the bottom of the slab and is being observed from the air side along the normal to the surface. Find the apparent position of the coin from

A 4cm thick layer of water covers a 6cm thick glass slab. A coin is placed at the bottom of the slab and is being observed from the air side along the normal to the surface. Find the apparent position of the coin from

Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
A train of 150m length is going towards North direction at a speed of 10ms−1. A parrot files at a speed of 5ms−1 towards South direction parallel to the railway track. The time taken by the parrot to cross the train is equal to
A train of 150m length is going towards North direction at a speed of 10ms−1. A parrot files at a speed of 5ms−1 towards South direction parallel to the railway track. The time taken by the parrot to cross the train is equal to
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
If 1.4g of N2(g) react with 1g of H2(g) to form ammonia (NH3), then amount of NH3(g) formed and number of atoms present in NH3 respectively are (in moles)
If 1.4g of N2(g) react with 1g of H2(g) to form ammonia (NH3), then amount of NH3(g) formed and number of atoms present in NH3 respectively are (in moles)
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
Which one among the following is not correct as per indicated property?
Which one among the following is not correct as per indicated property?
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Which of the following will form 1∘ alcohol?
Which of the following will form 1∘ alcohol?
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
For three gases A,B and C, the values of their critical temperatures (TC) are such that
TC(A)>TC(B)>TC(C)
assuming identical value of b′. Which gas can be most easily liquefied?
For three gases A,B and C, the values of their critical temperatures (TC) are such that
TC(A)>TC(B)>TC(C)
assuming identical value of b′. Which gas can be most easily liquefied?
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
Given, S+‌
3
2
O2⟶SO3+2xkcal
SO2+‌
1
2
O2⟶SO3+ykcal
with the help of above reactions, find out the heat of formation of SO2.
Given, S+‌
3
2
O2⟶SO3+2xkcal
SO2+‌
1
2
O2⟶SO3+ykcal
with the help of above reactions, find out the heat of formation of SO2.
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Match the Lists I and II and pick the correct matching from the codes given below.

Match the Lists I and II and pick the correct matching from the codes given below.
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
For the gaseous reaction involving complete combustion of isobutane (assuming all products and reactants are in gaseous state), the relation between ∆H and ∆E will be
For the gaseous reaction involving complete combustion of isobutane (assuming all products and reactants are in gaseous state), the relation between ∆H and ∆E will be
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Consider the following sequence of reactions.

The major product (C) is
Consider the following sequence of reactions.

The major product (C) is
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Moist hydrogen cannot be dried over (conc.) H2SO4 because
Moist hydrogen cannot be dried over (conc.) H2SO4 because
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
Calculate the number of optical isomers in the following compound.
H−
CH3
|
C
|
COOH
−OH
Calculate the number of optical isomers in the following compound.
H−
CH3
|
C
|
COOH
−OH
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
The correct order of increasing covalent character is
The correct order of increasing covalent character is
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
H3BO3 is a
H3BO3 is a
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
In the following compounds which gives fastest SN2 reaction?
In the following compounds which gives fastest SN2 reaction?
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
Among the following, achiral amino acid is
Among the following, achiral amino acid is
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Correct sequence of acidic character is
Correct sequence of acidic character is
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
Which reaction represents the oxidising behaviour of H2SO4 ?
Which reaction represents the oxidising behaviour of H2SO4 ?
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
The highest magnetic moment is shown by the transition metal ion with outer electronic configuration
The highest magnetic moment is shown by the transition metal ion with outer electronic configuration
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
Which complex ion has no d-electron in the central metal atom?
Which complex ion has no d-electron in the central metal atom?
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
Which of the following liquid on electrolysis produce H2 at cathode and Cl2 at anode?
Which of the following liquid on electrolysis produce H2 at cathode and Cl2 at anode?
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
The standard reduction potentials of Cu2+∕Cu and Cu2+∕Cu+are 0.337 and 0.153 volts respectively. The standard electrode potential for Cu2+∕Cu half cell will be
The standard reduction potentials of Cu2+∕Cu and Cu2+∕Cu+are 0.337 and 0.153 volts respectively. The standard electrode potential for Cu2+∕Cu half cell will be
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
For the reaction,
2A+B⟶C+D
on the basis of the following data, find the order of reaction.
For the reaction,
2A+B⟶C+D
on the basis of the following data, find the order of reaction.
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
For the reaction,
2N2O5⟶4NO2+O2
the values of rate constant and rate of reaction are respectively 3×10−5s−1 and 2.4×10−5molL−1s−1. The concentration of N2O5( in molL−1) will be
For the reaction,
2N2O5⟶4NO2+O2
the values of rate constant and rate of reaction are respectively 3×10−5s−1 and 2.4×10−5molL−1s−1. The concentration of N2O5( in molL−1) will be
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
In the following compounds

which is the correct pair of aromatic compound?
In the following compounds

which is the correct pair of aromatic compound?
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
In which of the following compound, cations occupy alternate tetrahedral voids in cubic closed packing (ccp) ?
In which of the following compound, cations occupy alternate tetrahedral voids in cubic closed packing (ccp) ?
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Which of the following does not undergo Hell-Volhard-Zelinsky reaction?
Which of the following does not undergo Hell-Volhard-Zelinsky reaction?
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
Which of the following transition of an electron in H-atom will emit maximum energy?
Which of the following transition of an electron in H-atom will emit maximum energy?
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
The correct set of quantum numbers for an element (Z=17) for the unpaired electron will be
The correct set of quantum numbers for an element (Z=17) for the unpaired electron will be
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Which of the following is an energy releasing process?
Which of the following is an energy releasing process?
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
Toluene reacts with excess of Cl2 in the presence of sunlight to give a product which on hydrolysis followed by reaction with NaOH gives:
Toluene reacts with excess of Cl2 in the presence of sunlight to give a product which on hydrolysis followed by reaction with NaOH gives:
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Among all the given compounds, which will have D-configuration?
Among all the given compounds, which will have D-configuration?
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
Volume of an ideal gas is decreased by 5% at constant temperature such that there is an increase in pressure by x%. The increase in pressure (in %) will be:
Volume of an ideal gas is decreased by 5% at constant temperature such that there is an increase in pressure by x%. The increase in pressure (in %) will be:
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
For the following equilibrium
N2O4⇌2NO2 in gaseous phase, NO2 is 50% of the total volume, when equilibrium is set up. Hence, percent dissociation of N2O4 is:
For the following equilibrium
N2O4⇌2NO2 in gaseous phase, NO2 is 50% of the total volume, when equilibrium is set up. Hence, percent dissociation of N2O4 is:
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
In the redox reaction
MnO4−+C2O42−+H+⟶
Mn2++CO2+H2O
The correct coefficients of C2O42− and H+ ions in the balanced equation are
In the redox reaction
MnO4−+C2O42−+H+⟶
Mn2++CO2+H2O
The correct coefficients of C2O42− and H+ ions in the balanced equation are
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
Substances used in bringing down the body temperature in high fever is called
Substances used in bringing down the body temperature in high fever is called
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
The reagent(s) used in the preparation of aspirin from salicyclic acid is/are.
The reagent(s) used in the preparation of aspirin from salicyclic acid is/are.
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
Terylene is a condensation polymer of ethylene glycol and
Terylene is a condensation polymer of ethylene glycol and
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
The correct increasing order of acidic strength of boron trihalides is
The correct increasing order of acidic strength of boron trihalides is
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Sulphur(s) when react with HNO3 (conc.) mainly gives
Sulphur(s) when react with HNO3 (conc.) mainly gives
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
Which of the following is the correct representation of molecular orbitals?
Which of the following is the correct representation of molecular orbitals?
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
On combustion of x−g of ethanol in bomb calorimeter, y-joules of heat energy is produced. The heat of combustion of ethanol (∆H‌comb ‌) is
On combustion of x−g of ethanol in bomb calorimeter, y-joules of heat energy is produced. The heat of combustion of ethanol (∆H‌comb ‌) is
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
0.005mol of Ba(OH)2 is dissolved in 100mL of water. Assuming complete ionisation of Ba(OH)2 the pOH of the solution will be
0.005mol of Ba(OH)2 is dissolved in 100mL of water. Assuming complete ionisation of Ba(OH)2 the pOH of the solution will be
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
Which of the following is used as a food preservative?
Which of the following is used as a food preservative?
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
Bakelite is obtained by reaction of phenol with
Bakelite is obtained by reaction of phenol with
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
When propyne is treated with H2SO4(aq) in presence of HgSO4, the major product is
When propyne is treated with H2SO4(aq) in presence of HgSO4, the major product is
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
The Magnetic moment (spin only) of [NiCl4]2− is
The Magnetic moment (spin only) of [NiCl4]2− is
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
In aqueous solution Cu(+1) salts are unstable because
In aqueous solution Cu(+1) salts are unstable because
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
The atomic number of elements A,B,C and D are Z−1,Z,Z+1,Z+2 respectively. If B is a noble gas, choose the correct option (1) (A) has higher electron affinity.
(2) (C) exists in +2 oxidation state.
(3) (D) is an alkaline earth metal.
The atomic number of elements A,B,C and D are Z−1,Z,Z+1,Z+2 respectively. If B is a noble gas, choose the correct option (1) (A) has higher electron affinity.
(2) (C) exists in +2 oxidation state.
(3) (D) is an alkaline earth metal.
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
Select the incorrect statement
Select the incorrect statement
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
The chemical reaction 2O3⟶3O2 proceeds as follows O3⇌O2+O (fast) O+O3⟶2O2(slow) the rate law for the above reaction can be
The chemical reaction 2O3⟶3O2 proceeds as follows O3⇌O2+O (fast) O+O3⟶2O2(slow) the rate law for the above reaction can be
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
Ionic product of water at 310K is 2.7×10−14. What is the pH of neutral water at this temperature?
Ionic product of water at 310K is 2.7×10−14. What is the pH of neutral water at this temperature?
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
. If α,β,γ are the angles which a directed line makes with the positive directions of the coordinate axes, then sin2α+sin2β+sin2γ is equal to
. If α,β,γ are the angles which a directed line makes with the positive directions of the coordinate axes, then sin2α+sin2β+sin2γ is equal to
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
If a and b are two non-collinear vectors such that |a|=3,|b|=4 and a−b=
∧
i
+2
∧
j
+3
∧
k
, then the value of {‌
a
|a|
−‌
b
|b|
}2 is equal to
If a and b are two non-collinear vectors such that |a|=3,|b|=4 and a−b=
∧
i
+2
∧
j
+3
∧
k
, then the value of {‌
a
|a|
−‌
b
|b|
}2 is equal to
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
The acute angle between the lines whose direction ratios are given by l+m−n=0 and l2+m2−n2=0, is
The acute angle between the lines whose direction ratios are given by l+m−n=0 and l2+m2−n2=0, is
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
The number of 6 -digit numbers that can be made with the digits 1,2,3 and 4 and having exactly two pairs of digits, is
The number of 6 -digit numbers that can be made with the digits 1,2,3 and 4 and having exactly two pairs of digits, is
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
Area of the region bounded by the curves y=2x,y=2x−x2,x=0 and x=2 is given by
Area of the region bounded by the curves y=2x,y=2x−x2,x=0 and x=2 is given by
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
The lengths of tangent, subtangent, normal and subnormal for the curve y=x2+x−1 at (1,1) are A,B,C and D respectively, then their increasing order is
The lengths of tangent, subtangent, normal and subnormal for the curve y=x2+x−1 at (1,1) are A,B,C and D respectively, then their increasing order is
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
- Let f:R→R be defined by
If f has a local minimum at x=−1, then a possible value of k is
- Let f:R→R be defined by
If f has a local minimum at x=−1, then a possible value of k is
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
If a point P(a,b,c) perpendiculars PA,PB are drawn to YZ and ZX planes, then the equation of the plane OAB is
If a point P(a,b,c) perpendiculars PA,PB are drawn to YZ and ZX planes, then the equation of the plane OAB is
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
A circular ring of radius 3cm is suspended horizontally from a point 4cm vertically above the centre by 4 strings attached at equal intervals to its circumference. If the angle between two consecutive strings be θ, then cos‌θ is equal to
A circular ring of radius 3cm is suspended horizontally from a point 4cm vertically above the centre by 4 strings attached at equal intervals to its circumference. If the angle between two consecutive strings be θ, then cos‌θ is equal to
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
The value of
sin−1[cot(sin−1√‌
2−√3
4
)+cos−1‌
√12
4
+sec−1√2] is
The value of
sin−1[cot(sin−1√‌
2−√3
4
)+cos−1‌
√12
4
+sec−1√2] is
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
900 distinct n-digit positive numbers are to be formed using only the digits 2,5 and 7 . The smallest value of x for which this is possible, is
900 distinct n-digit positive numbers are to be formed using only the digits 2,5 and 7 . The smallest value of x for which this is possible, is
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
If the non-zero numbers x,y,z are in AP and tan−1x,tan−1y,tan−1z are also in AP, then
If the non-zero numbers x,y,z are in AP and tan−1x,tan−1y,tan−1z are also in AP, then
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
If n is odd, then the sum of n terms of the series 12−22+32−42+52−62+... is
If n is odd, then the sum of n terms of the series 12−22+32−42+52−62+... is
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
A rectangle ABCD, where A≡(0,0) B≡(4,0)Ϛ≡(4,2),D≡(0,2), undergoes the following transformation successively
(i) f1(x,y)→(y,x)
(ii) f2(x,y)→(x+3y,y)
(iii) f3(x,y)→(x−y)∕2,(x+y)∕2)
The final figure will be
A rectangle ABCD, where A≡(0,0) B≡(4,0)Ϛ≡(4,2),D≡(0,2), undergoes the following transformation successively
(i) f1(x,y)→(y,x)
(ii) f2(x,y)→(x+3y,y)
(iii) f3(x,y)→(x−y)∕2,(x+y)∕2)
The final figure will be
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
The order and degree of the differential equation P=‌
(1+(
dy
dx
)2)3∕2
d2y
dx2
 are respectively
The order and degree of the differential equation P=‌
(1+(
dy
dx
)2)3∕2
d2y
dx2
 are respectively
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
If f(θ)=5‌cos‌θ+3‌cos(θ+‌
π
3
)+3, then range of f(θ) is
If f(θ)=5‌cos‌θ+3‌cos(θ+‌
π
3
)+3, then range of f(θ) is
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
The coordinates of the foot of the perpendicular drawn from the point A(1,0,3) to the join of the points B(4,7,1) and C(3,5,3) are
The coordinates of the foot of the perpendicular drawn from the point A(1,0,3) to the join of the points B(4,7,1) and C(3,5,3) are
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
If x=cos‌θ,y=sin‌5‌θ, then (1−x2)‌
d2y
dx2
−x‌
dy
dx
=
If x=cos‌θ,y=sin‌5‌θ, then (1−x2)‌
d2y
dx2
−x‌
dy
dx
=
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
If the period of the function f(x)=‌
sin(sin(nx))
tan(‌
x
n
)
,n∈N, is 6π, then n is equal to
If the period of the function f(x)=‌
sin(sin(nx))
tan(‌
x
n
)
,n∈N, is 6π, then n is equal to
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
The set of points where the function f(x)=[x]+|1−x|,−1≤x≤3, where [.] denotes the greatest integer function, is not differentiable, is
The set of points where the function f(x)=[x]+|1−x|,−1≤x≤3, where [.] denotes the greatest integer function, is not differentiable, is
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
If In=
π∕2
∫
0
‌
cos2nx
sin‌x
dx, then I2−I1,I3−I2 I4−I3 are in
If In=
π∕2
∫
0
‌
cos2nx
sin‌x
dx, then I2−I1,I3−I2 I4−I3 are in
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
If the coefficient of the 5 th term is the numerically the greatest coefficient in the expansion of (1−x)n, then the positive integral value of n is
If the coefficient of the 5 th term is the numerically the greatest coefficient in the expansion of (1−x)n, then the positive integral value of n is
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
∼(p⇔∼q) is equivalent to
∼(p⇔∼q) is equivalent to
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
If the tangent at the point P(2,4) to the parabola y2=8x meets the parabola y2=8x+5 at Q and R, then the mid-point of QR is
If the tangent at the point P(2,4) to the parabola y2=8x meets the parabola y2=8x+5 at Q and R, then the mid-point of QR is
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
The locus of the centres of the circles passing through the intersection of the circles x2+y2=1 and x2+y2−2x+y=0, is
The locus of the centres of the circles passing through the intersection of the circles x2+y2=1 and x2+y2−2x+y=0, is
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
The value of
lim
x→0
‌
∫
0
x2sec2tdt
x‌sin‌x
 is
The value of
lim
x→0
‌
∫
0
x2sec2tdt
x‌sin‌x
 is
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
The number of real roots of (6−x)4+(8−x)4=16 is
The number of real roots of (6−x)4+(8−x)4=16 is
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
102n−1+1 for all n∈N is divisible by
102n−1+1 for all n∈N is divisible by
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
If f(x)={
‌
1−√2‌sin‌x
π−4x
‌x≠π∕4
a‌‌‌x=π∕4.
 is continuous at x=‌
π
4
, then a=
If f(x)={
‌
1−√2‌sin‌x
π−4x
‌x≠π∕4
a‌‌‌x=π∕4.
 is continuous at x=‌
π
4
, then a=
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
. If f(x)=a‌log|x|+bx2+x has its extremum values at x=−1 and x=2, then
. If f(x)=a‌log|x|+bx2+x has its extremum values at x=−1 and x=2, then
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
Let P={θ:sin‌θ−cos‌θ=√2‌cos‌θ} and, Q={θ:sin‌θ+cos‌θ=√2‌sin‌θ} be two sets. Then,
Let P={θ:sin‌θ−cos‌θ=√2‌cos‌θ} and, Q={θ:sin‌θ+cos‌θ=√2‌sin‌θ} be two sets. Then,
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
Let the straight line x=b divide the area enclosed by y=(1−x)2,y=0 and x=0 into two parts R1(0≤x≤b) and R2(b≤x≤1) such that R1−R2=‌
1
4
. Then b equals.
Let the straight line x=b divide the area enclosed by y=(1−x)2,y=0 and x=0 into two parts R1(0≤x≤b) and R2(b≤x≤1) such that R1−R2=‌
1
4
. Then b equals.
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
10
∫
−1
sgn(x−[−x])dx equal to
10
∫
−1
sgn(x−[−x])dx equal to
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
The solution set of the equation cos−1x−sin−1x=sin−1(1−x), is
The solution set of the equation cos−1x−sin−1x=sin−1(1−x), is
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
Let a=i+j+k,c=j−k. If b is a vector satisfying a×b=c and a⋅b=3, then b is
Let a=i+j+k,c=j−k. If b is a vector satisfying a×b=c and a⋅b=3, then b is
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
Let Tn denote the number of triangles which can be formed using the vertices of an regular polygon of n sides. If Tn+1−Tn=21, then n equals
Let Tn denote the number of triangles which can be formed using the vertices of an regular polygon of n sides. If Tn+1−Tn=21, then n equals
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
The length of the shadows of a vertical pole of height h, thrown by the sun's rays at three different moments are h,2h and 3h. The sum of the angles of elevation of the rays at these three moments is equal to
The length of the shadows of a vertical pole of height h, thrown by the sun's rays at three different moments are h,2h and 3h. The sum of the angles of elevation of the rays at these three moments is equal to
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
If the arithmetic mean of the following data is 7, then a+b=

If the arithmetic mean of the following data is 7, then a+b=
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
A straight line through the origin meets the parallel lines 4x+2y=9 and 2x+y+6=0 at point P and Q respectively. Then, the point O divides the segment PQ in the ratio
A straight line through the origin meets the parallel lines 4x+2y=9 and 2x+y+6=0 at point P and Q respectively. Then, the point O divides the segment PQ in the ratio
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
The eccentricity of the ellipse, if the distance between the foci is equal to the length of the latusrectum, is
The eccentricity of the ellipse, if the distance between the foci is equal to the length of the latusrectum, is
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
- Gas is being pumped into a spherical balloon at the rate of 30ft3∕min. Then, the rate at which the radius increases when it reaches the value 15ft, is
- Gas is being pumped into a spherical balloon at the rate of 30ft3∕min. Then, the rate at which the radius increases when it reaches the value 15ft, is
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
In a ∆ABC, medians AD and BE are drawn. If AD=4,∠DAB=π∕6 and ∠ABE=π∕3, then the area of △ABC is
In a ∆ABC, medians AD and BE are drawn. If AD=4,∠DAB=π∕6 and ∠ABE=π∕3, then the area of △ABC is
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
The sum of the series. 1+‌
1
32
+‌
1
1
⋅‌
4
2
⋅‌
1
34
+‌
1
1
⋅‌
4
2
⋅‌
7
2
⋅‌
1
36
+...+ is
The sum of the series. 1+‌
1
32
+‌
1
1
⋅‌
4
2
⋅‌
1
34
+‌
1
1
⋅‌
4
2
⋅‌
7
2
⋅‌
1
36
+...+ is
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
If f(1)=3,f′(1)=−‌
1
3
, then the derivative of {x11+f(x)}−2 at x=1, is
If f(1)=3,f′(1)=−‌
1
3
, then the derivative of {x11+f(x)}−2 at x=1, is
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
Let R={(1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A={1,2,3,4}. The relation R is
Let R={(1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A={1,2,3,4}. The relation R is
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
If [⋅] denotes the greatest integer function, then
f(x)=[x]+[x+‌
1
2
]
If [⋅] denotes the greatest integer function, then
f(x)=[x]+[x+‌
1
2
]
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
lim
x→∞
‌
cot−1(√x+1−√x)
sec−1{(‌
2x+1
x−1
)x}
 is equal to
lim
x→∞
‌
cot−1(√x+1−√x)
sec−1{(‌
2x+1
x−1
)x}
 is equal to
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
If y=cos−1(cos‌x), then ‌
dy
dx
 at x=‌
5π
4
, is
If y=cos−1(cos‌x), then ‌
dy
dx
 at x=‌
5π
4
, is
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
The median of 100 observations grouped in classes of equal width is 25 . If the median class interval is 20−30 and the number of observations less than 20 is 45 , then the frequency of median class is
The median of 100 observations grouped in classes of equal width is 25 . If the median class interval is 20−30 and the number of observations less than 20 is 45 , then the frequency of median class is
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
Every term of G.P. is positive and also every term is the sum of two preceding terms. Then, the common ratio of the G.P. is
Every term of G.P. is positive and also every term is the sum of two preceding terms. Then, the common ratio of the G.P. is
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