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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt

In given P-V diagram, if the temperature of Point B is 25°C, then find the ratio of temperature at point C and E.

In given P-V diagram, if the temperature of Point B is 25°C, then find the ratio of temperature at point C and E.
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

A spring mass system with unequal masses is placed at rest on a smooth horizontal surface. The spring is initially kept compressed with a thread. When the spring is cut, the mass m moves so as to enter in a vertical circular loop of radius r. The minimum compression x in the spring so that the mass m may negotiate the vertical loop is ?

A spring mass system with unequal masses is placed at rest on a smooth horizontal surface. The spring is initially kept compressed with a thread. When the spring is cut, the mass m moves so as to enter in a vertical circular loop of radius r. The minimum compression x in the spring so that the mass m may negotiate the vertical loop is ?
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Steam at 100∘C is passed into 1.4kg of water kept in a calorimeter of water equivalent 0.03kg at 20∘C till the temperature of the calorimeter and contents reach 80∘C. Latent heat of steam is 2.26×106Jkg−1 and sp.heat capacity of water is 4200J/kg/∘C. The mass of steam condensed in kilogram is nearly equal to?
Steam at 100∘C is passed into 1.4kg of water kept in a calorimeter of water equivalent 0.03kg at 20∘C till the temperature of the calorimeter and contents reach 80∘C. Latent heat of steam is 2.26×106Jkg−1 and sp.heat capacity of water is 4200J/kg/∘C. The mass of steam condensed in kilogram is nearly equal to?
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

A charge particle q of mass m0 is projected along the y-axis at t = 0 from origin with a velocity V0. If a uniform electric field E0also exists along the x-axis, then the time at which the de-Broglie wavelength of the particle becomes half of the initial value is:-

A charge particle q of mass m0 is projected along the y-axis at t = 0 from origin with a velocity V0. If a uniform electric field E0also exists along the x-axis, then the time at which the de-Broglie wavelength of the particle becomes half of the initial value is:-
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

The resistance of a wire is ‘R’ ohm. If it is melted and stretched to ‘n’ times its original length, its new resistance will be?

The resistance of a wire is ‘R’ ohm. If it is melted and stretched to ‘n’ times its original length, its new resistance will be?
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

In the given figure a ring of mass m is kept on a horizontal surface while a body of equal mass 'm' attached through a string, which is wounded on the ring. When the system is released the ring rolls without slipping. Consider the following statements and choose the correct option.

(i) acceleration of the centre of mass of ring isg3
(ii) acceleration of the hanging particle is 2g3
(iii) frictional force (on the ring) acts along forward direction
(iv) frictional force (on the ring) acts along backward direction.

In the given figure a ring of mass m is kept on a horizontal surface while a body of equal mass 'm' attached through a string, which is wounded on the ring. When the system is released the ring rolls without slipping. Consider the following statements and choose the correct option.

(i) acceleration of the centre of mass of ring isg3
(ii) acceleration of the hanging particle is 2g3
(iii) frictional force (on the ring) acts along forward direction
(iv) frictional force (on the ring) acts along backward direction.
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
An 80kg man standing on ice throws a 4kg body horizontally at 6 ms−1. The frictional coefficient between the ice and his feet is 0.02 The distance through which the man slips is (g=10ms−2)
An 80kg man standing on ice throws a 4kg body horizontally at 6 ms−1. The frictional coefficient between the ice and his feet is 0.02 The distance through which the man slips is (g=10ms−2)
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt

In a common base connection, current amplification factor is 0.9. If the Base current is 0.2 mA. Find the ratio of emitter current and base current.

In a common base connection, current amplification factor is 0.9. If the Base current is 0.2 mA. Find the ratio of emitter current and base current.
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt

A telescope has an objective of focal length 60 cm and eyepiece of focal length 7 cm. The least distance of distinct vision is 35 cm. The telescope is focused for distinct vision on a scale 240 cm away from the objective. Find the produced magnification?

A telescope has an objective of focal length 60 cm and eyepiece of focal length 7 cm. The least distance of distinct vision is 35 cm. The telescope is focused for distinct vision on a scale 240 cm away from the objective. Find the produced magnification?
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt

Why a small liquid drop is in spherical shape?

Why a small liquid drop is in spherical shape?
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

A metal wire PQ slides on parallel metallic rails having separation 0.25 m, each having negligible resistance. There is a 2Ω resistor and 10V battery as shown in figure. There is a uniform magnetic field directed into the plane of the paper of magnitude 0.5 T. A force of 0.5N to the left is required to keep the wire PQ moving with constant speed to the right. With what speed is the wire PQ moving? (Neglect self-inductance of the loop)

A metal wire PQ slides on parallel metallic rails having separation 0.25 m, each having negligible resistance. There is a 2Ω resistor and 10V battery as shown in figure. There is a uniform magnetic field directed into the plane of the paper of magnitude 0.5 T. A force of 0.5N to the left is required to keep the wire PQ moving with constant speed to the right. With what speed is the wire PQ moving? (Neglect self-inductance of the loop)
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt

The forces acting at a point are called as?

The forces acting at a point are called as?
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
An object is projected up the incline with a velocity of 24m/s at angle of 30∘ as shown in the Figure. The distance 
up the inclined plane at which the object strikes is (g=10ms−2).
An object is projected up the incline with a velocity of 24m/s at angle of 30∘ as shown in the Figure. The distance 
up the inclined plane at which the object strikes is (g=10ms−2).
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt

All wires have same resistance and equivalent resistance between A and B is R. Now keys are closed, then the equivalent resistance will become:- 

All wires have same resistance and equivalent resistance between A and B is R. Now keys are closed, then the equivalent resistance will become:- 
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt

What is the oscillation known as if it can be expressed in terms of single harmonic function?

What is the oscillation known as if it can be expressed in terms of single harmonic function?
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt

The given graph shows the extension ( Δl ) of a wire of length 1.0 m suspended from the top of a roof at one end and loaded at the other end. If the cross sectional area of the wire is 10−6 m2, the Young’s modulus Y of the material of the wire is ?

The given graph shows the extension ( Δl ) of a wire of length 1.0 m suspended from the top of a roof at one end and loaded at the other end. If the cross sectional area of the wire is 10−6 m2, the Young’s modulus Y of the material of the wire is ?
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

What is the property of a liquid due to which its free surface tries to have minimum surface area? 

What is the property of a liquid due to which its free surface tries to have minimum surface area? 
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt

Which is the effect of increase in the temperature on the surface tension of the liquid?

Which is the effect of increase in the temperature on the surface tension of the liquid?
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

A long solenoid of self-inductance L and area of cross section A not carrying any current is placed in a uniform magnetic field of strength B with its axis parallel to the field direction. The total magnetic flux linked with the solenoid is φ. The energy of the magnetic field stored in the solenoid is?

A long solenoid of self-inductance L and area of cross section A not carrying any current is placed in a uniform magnetic field of strength B with its axis parallel to the field direction. The total magnetic flux linked with the solenoid is φ. The energy of the magnetic field stored in the solenoid is?
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

Screw gauge shown in Figure has 50 divisions and in one complete rotation of circular scale the main scale moves 0.5 mm.

Screw gauge shown in Figure has 50 divisions and in one complete rotation of circular scale the main scale moves 0.5 mm.
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt

A point charge +Q is positioned at the centre of the base of a square pyramid as shown. The flux through one of the four identical upper faces of the pyramid is:-  

A point charge +Q is positioned at the centre of the base of a square pyramid as shown. The flux through one of the four identical upper faces of the pyramid is:-  
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt

Which of the following is true about universal gravitational constant in the case of two bodies each of unit mass having their centres placed at unit?

Which of the following is true about universal gravitational constant in the case of two bodies each of unit mass having their centres placed at unit?
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt

Liquid cools from 50º C to 45ºC in 5 minutes and from 45ºC to 41.5ºC in the next 5 minutes. The temperature of the surrounding is :- [Assume newton's law of cooling is applicable] 

Liquid cools from 50º C to 45ºC in 5 minutes and from 45ºC to 41.5ºC in the next 5 minutes. The temperature of the surrounding is :- [Assume newton's law of cooling is applicable] 
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt

What is the apparent weight of the person when the elevator is accelerating downwards? 

What is the apparent weight of the person when the elevator is accelerating downwards? 
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt

Which of the following represents the dimensional formula of Universal Gravitational Constant? 

Which of the following represents the dimensional formula of Universal Gravitational Constant? 
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt

The average degree of freedom per molecule of a gas is 6. The gas performs 25 J work, while expanding at constant pressure. The heat absorbed by the gas is:-

The average degree of freedom per molecule of a gas is 6. The gas performs 25 J work, while expanding at constant pressure. The heat absorbed by the gas is:-
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt

Kepler's second law is also known as?

Kepler's second law is also known as?
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt

Which of the following is correct about Surface Tension? 

Which of the following is correct about Surface Tension? 
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt

Which of the following factors affect the Surface Tension? 

Which of the following factors affect the Surface Tension? 
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt

Which of the following represents angular frequency of a body?

Which of the following represents angular frequency of a body?
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt

A concave mirror gives a real image magnified 6 times when the object is moved 6 cm the magnification of the real image is 4 times. What will be the focal length of the mirror?

A concave mirror gives a real image magnified 6 times when the object is moved 6 cm the magnification of the real image is 4 times. What will be the focal length of the mirror?
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt

A cylinder of radius r = 1 m and height 3 m filled with a liquid upto 2 m high and is rotated about its vertical axis as shown in the Figure. The speed of rotation of the cylinder when the point at the centre of the base is just exposed is?

A cylinder of radius r = 1 m and height 3 m filled with a liquid upto 2 m high and is rotated about its vertical axis as shown in the Figure. The speed of rotation of the cylinder when the point at the centre of the base is just exposed is?
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt

A satellite orbiting around the earth of radius R is shifted to an orbit of radius 2R. The time taken for one revolution will increase nearly b.

A satellite orbiting around the earth of radius R is shifted to an orbit of radius 2R. The time taken for one revolution will increase nearly b.
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt

A thin rectangular magnet suspended freely has a period of oscillation equal to T. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is T', the ratio T'/T is :-

A thin rectangular magnet suspended freely has a period of oscillation equal to T. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is T', the ratio T'/T is :-
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt

Four metallic plates each with a surface area A of each side are placed at a distance d from each other. When the plates are connected as shown in Figure, the capacitance of the whole system between a and b is?

Four metallic plates each with a surface area A of each side are placed at a distance d from each other. When the plates are connected as shown in Figure, the capacitance of the whole system between a and b is?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt

A carrier wave has power of 1675 kW. If the side band power of a modulated wave subjected to 60%. Then find the amplitude modulation level.

A carrier wave has power of 1675 kW. If the side band power of a modulated wave subjected to 60%. Then find the amplitude modulation level.
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt

A battery of internal resistance 4 Ω is connected to the network of resistance as shown in the Figure. In order to get maximum power to the network, the value of R in ohm should be ?

A battery of internal resistance 4 Ω is connected to the network of resistance as shown in the Figure. In order to get maximum power to the network, the value of R in ohm should be ?
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt

The force acting on a body for a short time are called as?

The force acting on a body for a short time are called as?
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt

A plane electromagnetic wave of angular frequency ω propagates in a poorly conducting medium of conductivity σ and relative permittivity ε. Find the ratio of conduction current density and displacement current density in the medium. 

A plane electromagnetic wave of angular frequency ω propagates in a poorly conducting medium of conductivity σ and relative permittivity ε. Find the ratio of conduction current density and displacement current density in the medium. 
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt

Half-life of a radioactive substance A is 4 days. The probability of a nucleus that,  from the given sample that it will decay in two half-lives is? 

Half-life of a radioactive substance A is 4 days. The probability of a nucleus that,  from the given sample that it will decay in two half-lives is? 
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
A point mass 0.1kg executes S.H.M of amplitude 0.2m. When the particle passes through the mean position, its kinetic energy is 9×10−3 J. The equation of motion of their particle is S.H.M when the initial phase 60∘ is?
A point mass 0.1kg executes S.H.M of amplitude 0.2m. When the particle passes through the mean position, its kinetic energy is 9×10−3 J. The equation of motion of their particle is S.H.M when the initial phase 60∘ is?
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt

Which of the following laws state that the orbits of the planets are ellipses, with the Sun at one focus of the ellipse?

Which of the following laws state that the orbits of the planets are ellipses, with the Sun at one focus of the ellipse?
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt

The radioactive sources A and B have half lives of 2hr and 4hr respectively, initially contain the same number of radioactive atoms. At the end of 2 hours, their rates of distintegration are in the ratio:

The radioactive sources A and B have half lives of 2hr and 4hr respectively, initially contain the same number of radioactive atoms. At the end of 2 hours, their rates of distintegration are in the ratio:
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt

As per the Kepler's third law, the square of the time period of revolution of a planet is directly proportional to which of the following?

As per the Kepler's third law, the square of the time period of revolution of a planet is directly proportional to which of the following?
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
A uniform electric field of magnitudo 245V/m is directed in the negative y clirection as shown in figure. The coordinates of point P and O are (−0,5m,−0Bm) and lo3m, 0.7m rospectivoly Calculato the potontial difference VQ−VP along tho path shown in the figure.
A uniform electric field of magnitudo 245V/m is directed in the negative y clirection as shown in figure. The coordinates of point P and O are (−0,5m,−0Bm) and lo3m, 0.7m rospectivoly Calculato the potontial difference VQ−VP along tho path shown in the figure.
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt

In Young’s double slit experiment, a monochromatic light of wavelength 5500 Å is used. The slits are 2 mm apart. The fringes are formed on a screen placed 20 cm away from the slits. It is found that the interference pattern shifts by 16 mm when a transparent plate of thickness 0.4 mm is introduced in the path of one of the slits. The refractive index of the transparent plate is?

In Young’s double slit experiment, a monochromatic light of wavelength 5500 Å is used. The slits are 2 mm apart. The fringes are formed on a screen placed 20 cm away from the slits. It is found that the interference pattern shifts by 16 mm when a transparent plate of thickness 0.4 mm is introduced in the path of one of the slits. The refractive index of the transparent plate is?
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt

Newton's third law of motion applies  to which of these forces?

Newton's third law of motion applies  to which of these forces?
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt

What is the S.I unit of frequency? 

What is the S.I unit of frequency? 
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
The beat frequency produced when the following two waves x1=12 sin⁡(484πt−7πx) and x2=12sin⁡(480πt−7πx) are sounded together is? 
The beat frequency produced when the following two waves x1=12 sin⁡(484πt−7πx) and x2=12sin⁡(480πt−7πx) are sounded together is? 
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt

The inablity of a body to change its state of rest or motion is known as? 

The inablity of a body to change its state of rest or motion is known as? 
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt

Which of the following molecule does not exist?

Which of the following molecule does not exist?
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

Which of the following is responsible for depletion of the ozone layer in the upper strata of the atmosphere? 

Which of the following is responsible for depletion of the ozone layer in the upper strata of the atmosphere? 
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt

White lead is?

White lead is?
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

No. of chiral carbon atoms in β -D + glucose is- 

No. of chiral carbon atoms in β -D + glucose is- 
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

Which of the following halogens can be introduced into the benzene ring via diazonium salts- 

Which of the following halogens can be introduced into the benzene ring via diazonium salts- 
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

Glycolysis is?

Glycolysis is?
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt

Lanthanides are – 

Lanthanides are – 
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt

Which of the following shows linear structure?

Which of the following shows linear structure?
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt

At a certain pressure, volume of a gas at 270C is 20 litre.If the pressure and temperature at doubled,its volume will be- 

At a certain pressure, volume of a gas at 270C is 20 litre.If the pressure and temperature at doubled,its volume will be- 
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt

Which is minimum basic-:

Which is minimum basic-:
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

if the rate of reaction is equal to the rate constant, the order of the reaction is?

if the rate of reaction is equal to the rate constant, the order of the reaction is?
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt

Absolute alcohol is prepared by-

Absolute alcohol is prepared by-
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

No. of water molecules in 1 drop of water, if 1 ml of water has 20 drops and A is Avogadro number,is- 

No. of water molecules in 1 drop of water, if 1 ml of water has 20 drops and A is Avogadro number,is- 
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt

Which of the following is an ore of aluminium? 

Which of the following is an ore of aluminium? 
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt

Vitamin B12 contains?

Vitamin B12 contains?
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt

Water has high boiling point because-

Water has high boiling point because-
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

Correct Ksp value of alkaline earth sulphate-

Correct Ksp value of alkaline earth sulphate-
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt

According to adsorption theory of catalysis-:

According to adsorption theory of catalysis-:
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

Wood charcoal is used to decolourise sugar because it-

Wood charcoal is used to decolourise sugar because it-
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

Blister copper is?

Blister copper is?
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt

Which of the following is the electron deficient molecule?

Which of the following is the electron deficient molecule?
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt

Wood spirit is knowm as-:

Wood spirit is knowm as-:
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt

In lab H2O2 is prepaired by-:

In lab H2O2 is prepaired by-:
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt

Amongst the following which one is not chiral? 

Amongst the following which one is not chiral? 
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt

Due to Frenkel defect,the density of ionic salts-

Due to Frenkel defect,the density of ionic salts-
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt

Iodoform test is not given by?

Iodoform test is not given by?
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt

Which type of crystals contain more than one Bravais lattice? 

Which type of crystals contain more than one Bravais lattice? 
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt

The shape of O2F2 is similar to that of-:

The shape of O2F2 is similar to that of-:
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt

The correct order of reactivity towards the electrophilic substitution of the compounds aniline(I),benzene(II) and nitrobenzene(III) is- 

The correct order of reactivity towards the electrophilic substitution of the compounds aniline(I),benzene(II) and nitrobenzene(III) is- 
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt

Phenelzine and Iproniazid are-:

Phenelzine and Iproniazid are-:
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt

Which set of quantum numbers are not possible:-

n           l           m        s

Which set of quantum numbers are not possible:-

n           l           m        s
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt

Which one of the following characteristics of the transition metals is associated with their catalytic activity?

Which one of the following characteristics of the transition metals is associated with their catalytic activity?
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt

Which one of the following is a chain growth polymer?

Which one of the following is a chain growth polymer?
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt

Which nobel gas is most soluble in water?

Which nobel gas is most soluble in water?
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt

Among all the options in which compound chromium has +6 oxidation state?

Among all the options in which compound chromium has +6 oxidation state?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt

Which of the following gases does not obey Henry’s law? 

Which of the following gases does not obey Henry’s law? 
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt

Which of the following pairs represents stereoisomerism?

Which of the following pairs represents stereoisomerism?
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt

Find the correct order of acidic strength amongst the following-

Find the correct order of acidic strength amongst the following-
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt

Reaction of HBr with propene in the presence of peroxide gives?

Reaction of HBr with propene in the presence of peroxide gives?
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt

Natural rubber is a polymer of-

Natural rubber is a polymer of-
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt

The poisonous obtained on exposing chloroform to air and sunlight is-

The poisonous obtained on exposing chloroform to air and sunlight is-
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt

Which of the following enzymes converts glucose into ethyl alcohol?

Which of the following enzymes converts glucose into ethyl alcohol?
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt

An organic compound contains 54.6% carbon, 9.1 % H and 36.56 % oxygen. The empirical formula of this compound is-

An organic compound contains 54.6% carbon, 9.1 % H and 36.56 % oxygen. The empirical formula of this compound is-
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt

Complete hydrolysis of cellulose gives-:

Complete hydrolysis of cellulose gives-:
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
The solubility product of a sparingly soluble salt AX2 is 3.2×1011. Its solubility
(moles /litre) is:
The solubility product of a sparingly soluble salt AX2 is 3.2×1011. Its solubility
(moles /litre) is:
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt

5 moles of SO2 and 5 moles of O2 react to form SO3.Only 60% SO2 is used.Number of moles left in total is-

5 moles of SO2 and 5 moles of O2 react to form SO3.Only 60% SO2 is used.Number of moles left in total is-
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt

Cyclohexene is best prepared from cyclohexanol by which of the following- 

Cyclohexene is best prepared from cyclohexanol by which of the following- 
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
What is the entropy change (in JK −1 mol −1 ) when one mole of ice is converted into water at 00C ? (The enthalpy change for the conversion of ice to liquid water is 6kJmol−1 at 00C ).
What is the entropy change (in JK −1 mol −1 ) when one mole of ice is converted into water at 00C ? (The enthalpy change for the conversion of ice to liquid water is 6kJmol−1 at 00C ).
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt

Which of the following is least reactive in a nucleophilic  substitution reaction?

Which of the following is least reactive in a nucleophilic  substitution reaction?
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt

Polymer used in bulletproof glass is-

Polymer used in bulletproof glass is-
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt

If HCF (p, q, r) = 2, LCM (p, q, r) = 120, HCF (p, q) = 4, HCF (q, r) = 2, HCF (p, r) = 2, p = 12, q = 8 then find the no ‘r’.

If HCF (p, q, r) = 2, LCM (p, q, r) = 120, HCF (p, q) = 4, HCF (q, r) = 2, HCF (p, r) = 2, p = 12, q = 8 then find the no ‘r’.
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

An aeroplane at an altitude of 1200 meters finds that two ships are sailing towards it in the same direction. The angle of depression of the ships as observed from the aeroplane are 60° and 30° respectively. Find the distance between the two ships.

An aeroplane at an altitude of 1200 meters finds that two ships are sailing towards it in the same direction. The angle of depression of the ships as observed from the aeroplane are 60° and 30° respectively. Find the distance between the two ships.
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
If tan⁡2θ=cot⁡(θ+6∘), where 2θ and θ+6∘ are acute angles, find the value of θ 
If tan⁡2θ=cot⁡(θ+6∘), where 2θ and θ+6∘ are acute angles, find the value of θ 
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

A well with 10m inside diameter is dug 14m deep. Earth taken out of it is spread all a round to a width of 5m to form an embankment. Find the height of embankment. 

A well with 10m inside diameter is dug 14m deep. Earth taken out of it is spread all a round to a width of 5m to form an embankment. Find the height of embankment. 
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Consider the function  f(x)=tankxx,x<03x+2k2,x≥0  what is the non-zero value of k for which the function is continuous at x=0? 
Consider the function  f(x)=tankxx,x<03x+2k2,x≥0  what is the non-zero value of k for which the function is continuous at x=0? 
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The ratio of the sums of m&n terms of an A. P is m2:n2. The ratio of the mth &nth  terms is?
The ratio of the sums of m&n terms of an A. P is m2:n2. The ratio of the mth &nth  terms is?
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt

4 chairs & 3 tables cost Rs. 2100 and 5 chairs and 2 tables cost Rs. 1750. Find the cost of a chair & a table separately. 

4 chairs & 3 tables cost Rs. 2100 and 5 chairs and 2 tables cost Rs. 1750. Find the cost of a chair & a table separately. 
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt

A sum of money amounts to Rs. 4818 after 3 years and Rs. 7227 after 6 years on compound interest.The sum is

A sum of money amounts to Rs. 4818 after 3 years and Rs. 7227 after 6 years on compound interest.The sum is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Find the value of (1+x)1+x21+x41+x8(1-x)?
Find the value of (1+x)1+x21+x41+x8(1-x)?
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
The solution of the equation log⁡(dydx)=ax+by is
The solution of the equation log⁡(dydx)=ax+by is
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Find all zeroes of 2x4−3x3−3x2+6x−2, if you know that two of its zeroes are 2&−2.
Find all zeroes of 2x4−3x3−3x2+6x−2, if you know that two of its zeroes are 2&−2.
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
If f(x)=x^{2}-4 x-5, then f(A), where A= 122212221 is equal to
If f(x)=x^{2}-4 x-5, then f(A), where A= 122212221 is equal to
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
sinπ3-sin-1-12 is equal to ?
sinπ3-sin-1-12 is equal to ?
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt

The equation of the circle passing through (4, 5) having the centre at (2, 2) is? 

The equation of the circle passing through (4, 5) having the centre at (2, 2) is? 
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt

Find the approximation tens of 56937.

Find the approximation tens of 56937.
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
If each of α,β and γ is a positive acute angle such that

sin(α+β-γ)=12cos(β+γ-α)=12tan(γ+α-β)=1

Find the values of α,β and γ.
If each of α,β and γ is a positive acute angle such that

sin(α+β-γ)=12cos(β+γ-α)=12tan(γ+α-β)=1

Find the values of α,β and γ.
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

Compute the modal value for the following frequency distribution.

x  95105 115 125 135 145 155  165175 
f  4 2 18 22 21 19 10 3 2

Compute the modal value for the following frequency distribution.

x  95105 115 125 135 145 155  165175 
f  4 2 18 22 21 19 10 3 2
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
In the given figure, PB&QA are perpendiculars to segment AB. If PO=5cm,Q∘=7cm and area ΔPOB= 150cm2. Find the area of △QOA.
In the given figure, PB&QA are perpendiculars to segment AB. If PO=5cm,Q∘=7cm and area ΔPOB= 150cm2. Find the area of △QOA.
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

Direction : If f (–x) = –f (x), then f (x) is an odd function & if f (–x) = f (x) then f (x) is an even function.

 Also ∫-aaf(x)dx=2∫0af(x), if f(x) is even 0 if f(x) is odd 

The value of ∫−π/2π/2sin2⁡xdx is equal to

Direction : If f (–x) = –f (x), then f (x) is an odd function & if f (–x) = f (x) then f (x) is an even function.

 Also ∫-aaf(x)dx=2∫0af(x), if f(x) is even 0 if f(x) is odd 

The value of ∫−π/2π/2sin2⁡xdx is equal to
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

The curve given below represent a/an?

The curve given below represent a/an?
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
 If an+1+bn+1an+bn  is the A.M between a and b. Then, find the value of n
 If an+1+bn+1an+bn  is the A.M between a and b. Then, find the value of n
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt

Find the condition that the point (x, y) may lie on the line joining (3, 4) and (–5, 6).

Find the condition that the point (x, y) may lie on the line joining (3, 4) and (–5, 6).
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt

The equivalent discount with respect to two successive discounts 30% and 40% will be?

The equivalent discount with respect to two successive discounts 30% and 40% will be?
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The maximum value of (log⁡x)x is?
The maximum value of (log⁡x)x is?
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Find the values of k for which 2x2−10x+k=0
has real and equal roots:
Find the values of k for which 2x2−10x+k=0
has real and equal roots:
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt

If the 8th term of an A.P is 31 and the 15th term is 16 more than the 11th term, find the A.P. 

If the 8th term of an A.P is 31 and the 15th term is 16 more than the 11th term, find the A.P. 
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
 If (1+x)n=C0+C1x+C2x2+….+Cnxn,C0+c22+c23+…….+Cnn+1 is equal to ?
 If (1+x)n=C0+C1x+C2x2+….+Cnxn,C0+c22+c23+…….+Cnn+1 is equal to ?
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt

Direction : If f (–x) = –f (x), then f (x) is an odd function & if f (–x) = f (x) then f (x) is an even function.

 Also ∫-aaf(x)dx=2∫0af(x), if f(x) is even 0 if f(x) is odd 

The value of the integral ∫−π/2π/2sin7⁡xdx is

Direction : If f (–x) = –f (x), then f (x) is an odd function & if f (–x) = f (x) then f (x) is an even function.

 Also ∫-aaf(x)dx=2∫0af(x), if f(x) is even 0 if f(x) is odd 

The value of the integral ∫−π/2π/2sin7⁡xdx is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt

In the given figure, there are three semicircles A, B and C having diameter 3 cm each and another semi circle E having a circle D with diameter 4.5 cm are shown. Calculate the area of the shaded region.

In the given figure, there are three semicircles A, B and C having diameter 3 cm each and another semi circle E having a circle D with diameter 4.5 cm are shown. Calculate the area of the shaded region.
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
What is the value of ∫1cos2x-1sin2xdx?
What is the value of ∫1cos2x-1sin2xdx?
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt

What is the area of the region bounded by the lines y = x, y = 0 and x = 4?

What is the area of the region bounded by the lines y = x, y = 0 and x = 4?
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Four points with position vectors A=7i−4j+7k,B=1−6j+10k,c=−1−3j+4k and D=5i− j+k form.
Four points with position vectors A=7i−4j+7k,B=1−6j+10k,c=−1−3j+4k and D=5i− j+k form.
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt

The measure of each interior angle of a regular convex polygon is 156°. The number of sides of the polygon is?

The measure of each interior angle of a regular convex polygon is 156°. The number of sides of the polygon is?
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
 Evaluate cos40°-θ-sin50°+θ+cos240°+cos250°sin240°+sin250°
 Evaluate cos40°-θ-sin50°+θ+cos240°+cos250°sin240°+sin250°
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Two circles touch internally. The sum of their areas is 116πcm2& distance between their centres is 6cm. Find the radii of the circles.
Two circles touch internally. The sum of their areas is 116πcm2& distance between their centres is 6cm. Find the radii of the circles.
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt

The coordinates of one end point of a diameter of a circle are (4, –1) and the coordinates of the centre of the circle are (1, –3). Find the coordinates of the other end of the diameter.

The coordinates of one end point of a diameter of a circle are (4, –1) and the coordinates of the centre of the circle are (1, –3). Find the coordinates of the other end of the diameter.
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt

A number x is selected from the numbers 1, 2, 3 and then a second number y is randomly selected from the numbers 1, 4, 9. What is the probability that the product xy of the two numbers will be less than 9? 

A number x is selected from the numbers 1, 2, 3 and then a second number y is randomly selected from the numbers 1, 4, 9. What is the probability that the product xy of the two numbers will be less than 9? 
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt

If the number of sides of a regular polygon is ‘n’, then the number of lines of symmetry is equal to?

If the number of sides of a regular polygon is ‘n’, then the number of lines of symmetry is equal to?
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt

The average age of 25 boys in a class decreases by 6 months when a new boy takes the place of a 20 years old boy. Find the age of new boy.

The average age of 25 boys in a class decreases by 6 months when a new boy takes the place of a 20 years old boy. Find the age of new boy.
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt

The coordinates of a point on the parabola y² = 8x, whose focal distance is 4, is?

The coordinates of a point on the parabola y² = 8x, whose focal distance is 4, is?
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt

Find the coordinates of the centre of the circle passing through the points (0, 0), (–2, 1) and (–3, 2).

Find the coordinates of the centre of the circle passing through the points (0, 0), (–2, 1) and (–3, 2).
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Find the unit digit in 765×641×357=?
Find the unit digit in 765×641×357=?
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
 What is  ∫sinxxdx  is equal to? 
 What is  ∫sinxxdx  is equal to? 
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt

For a frequency distribution, mean, median and mode are connected by the relation? 

For a frequency distribution, mean, median and mode are connected by the relation? 
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
What is ∫01xexdx equal to?
What is ∫01xexdx equal to?
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt

If ∆ABC ~ ∆DEF such that AB = 1.2 cm & DE = 1.4cm. Find the ratio of areas of ∆ABC & ∆DEF.

If ∆ABC ~ ∆DEF such that AB = 1.2 cm & DE = 1.4cm. Find the ratio of areas of ∆ABC & ∆DEF.
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt

A circle is inscribed in a ∆ABC having sides 8 cm, 10cm and 12cm as shown in figure. Find AD, BE & CF.

A circle is inscribed in a ∆ABC having sides 8 cm, 10cm and 12cm as shown in figure. Find AD, BE & CF.
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt

The ratio in which the line joining (2, 4, 5), (3, 5, –4) is divided by the yz plane is?

The ratio in which the line joining (2, 4, 5), (3, 5, –4) is divided by the yz plane is?
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt

The sides of a triangle are 6.5 cm, 10 cm & x cm, where x is a positive number. What is the smallest possible value of x among the following?

The sides of a triangle are 6.5 cm, 10 cm & x cm, where x is a positive number. What is the smallest possible value of x among the following?
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
If α&β are the zeros of the polynomial f(x)=x2−5x+k such that α−β=1, Find the value of k. 
If α&β are the zeros of the polynomial f(x)=x2−5x+k such that α−β=1, Find the value of k. 
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