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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
A uniform circular disc of mass 400g and radius 4.0‌cm is rotated about one of its diameter at an angular speed of 10‌rot∕ s. The kinetic energy of the disc is
A uniform circular disc of mass 400g and radius 4.0‌cm is rotated about one of its diameter at an angular speed of 10‌rot∕ s. The kinetic energy of the disc is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Several lamps of 50W and 100V rating are available. How many of them can be connected in parallel across a battery of a 120V of internal resistance 10Ω, so that all bulbs glow in full power?
Several lamps of 50W and 100V rating are available. How many of them can be connected in parallel across a battery of a 120V of internal resistance 10Ω, so that all bulbs glow in full power?
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
A stone weight 100N on the surface of the earth. The ratio of its weight at a height of half the radius of the earth to a depth of half the radius of the earth will be approximately
A stone weight 100N on the surface of the earth. The ratio of its weight at a height of half the radius of the earth to a depth of half the radius of the earth will be approximately
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The gravitational field strength at the surface of a certain planet is g. Which of the following is the gravitational field strength at the surface of a planet with twice the radius and twice the mass?
The gravitational field strength at the surface of a certain planet is g. Which of the following is the gravitational field strength at the surface of a planet with twice the radius and twice the mass?
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
A crane with a steel cable of length 11m and radius 2.0‌cm is employed to lift a block of concrete of mass 40 tons in a building site. If the Young's modulus of steel is 2.0×1011‌Pa, what will be roughly the increase in the length of the cable while lifting the block?
(Take, g=10ms−2 )
A crane with a steel cable of length 11m and radius 2.0‌cm is employed to lift a block of concrete of mass 40 tons in a building site. If the Young's modulus of steel is 2.0×1011‌Pa, what will be roughly the increase in the length of the cable while lifting the block?
(Take, g=10ms−2 )
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
I and V are respectively the current and voltage in a metal wire of resistance R. The I−V graph for the two different temperatures T1 and T2 given, then
I and V are respectively the current and voltage in a metal wire of resistance R. The I−V graph for the two different temperatures T1 and T2 given, then
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
A charged particle moves in a uniform magnetic field. The velocity of the particle at some instant makes an acute angle with the magnetic field. The path of the particle will be
A charged particle moves in a uniform magnetic field. The velocity of the particle at some instant makes an acute angle with the magnetic field. The path of the particle will be
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
A certain length of insulated wire can be bent to form either a single circular loop (case I) or a double loop of smaller radius (case II). When the same steady current is passed through the wire, the ratio of the magnetic field at the centre in (case I) to that in (case II) is
A certain length of insulated wire can be bent to form either a single circular loop (case I) or a double loop of smaller radius (case II). When the same steady current is passed through the wire, the ratio of the magnetic field at the centre in (case I) to that in (case II) is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Inside a cyclotron, a charged particle is subjected to both an electric field and a magnetic fiel
Inside a cyclotron, a charged particle is subjected to both an electric field and a magnetic fiel
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
The graph showing the variation of the magnetic field strength B with distance r from a long current carrying conductor is
The graph showing the variation of the magnetic field strength B with distance r from a long current carrying conductor is
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The temperature at which centigrade and Fahrenheit scales give the same reading, is
The temperature at which centigrade and Fahrenheit scales give the same reading, is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The correct definition of Meissner effect is
The correct definition of Meissner effect is
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
A jet plane is travelling west at 450m∕ s. If the horizontal component of earth's magnetic field is 4×10−4T and angle of dip is 30∘, then the vertical component is
A jet plane is travelling west at 450m∕ s. If the horizontal component of earth's magnetic field is 4×10−4T and angle of dip is 30∘, then the vertical component is
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A bicycle generator creates 1.5V at 15‌km∕h. The emf generated at 10‌km∕h is
A bicycle generator creates 1.5V at 15‌km∕h. The emf generated at 10‌km∕h is
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
The instantaneous voltage of a 50‌Hz generator giving peak voltage as 300V. The generator equation for this voltage is
The instantaneous voltage of a 50‌Hz generator giving peak voltage as 300V. The generator equation for this voltage is
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
A transformer is used to light a 100W,110V lamp from a 220V supply. If the supply current is 0.6A, then the efficiency of the transformer is
A transformer is used to light a 100W,110V lamp from a 220V supply. If the supply current is 0.6A, then the efficiency of the transformer is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
If instantaneous current is given by i=4‌cos(ωt+φ), then the rms value of current is
If instantaneous current is given by i=4‌cos(ωt+φ), then the rms value of current is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
If the surface is a perfect reflector, then the change in momentum of the wave after falling on the surface is
If the surface is a perfect reflector, then the change in momentum of the wave after falling on the surface is
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A person sitting firmly over a rotating stool has his arms stretche
A person sitting firmly over a rotating stool has his arms stretche
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
The temperature of two bodies A and B are 727∘C and 327∘C respectively, the ratio HA:HB of the rates of heat radiated by them is
The temperature of two bodies A and B are 727∘C and 327∘C respectively, the ratio HA:HB of the rates of heat radiated by them is
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
The refractive index and the permeability of a medium are respectively 1.5 and 5×10−7Hm−1.
The relative permittivity of the medium is nearly
The refractive index and the permeability of a medium are respectively 1.5 and 5×10−7Hm−1.
The relative permittivity of the medium is nearly
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
All lights are switched off, except for a bright point-light source kept at the bottom of a swimming pool filled with clear water of refractive index 4∕3. As a result, only a circular patch of 6m diameter of the water surface is visible to spectators standing around the swimming pool. Which of the following gives the nearest value of the depth of the pool?
All lights are switched off, except for a bright point-light source kept at the bottom of a swimming pool filled with clear water of refractive index 4∕3. As a result, only a circular patch of 6m diameter of the water surface is visible to spectators standing around the swimming pool. Which of the following gives the nearest value of the depth of the pool?
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
An equiangular glass prism of refractive index 1.6 is kept fully immersed in water of refractive index 4∕3, for a certain ray of monochromatic light. What is the closest value for the angle of minimum deviation of the light ray in this setup? (Take, sin‌37∘=0.6 )
An equiangular glass prism of refractive index 1.6 is kept fully immersed in water of refractive index 4∕3, for a certain ray of monochromatic light. What is the closest value for the angle of minimum deviation of the light ray in this setup? (Take, sin‌37∘=0.6 )
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
A concave mirror gives an image three times as large as its object placed at distance of 20‌cm from it. For the image to be real, the focal length should be
A concave mirror gives an image three times as large as its object placed at distance of 20‌cm from it. For the image to be real, the focal length should be
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Two coherent monochromatic light beams of intensities I and 4I are superimposed. The maximum and minimum possible resulting intensities are
Two coherent monochromatic light beams of intensities I and 4I are superimposed. The maximum and minimum possible resulting intensities are
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
The momentum of electrons having a wavelength 2Å (given, h=6.626×10−34J− s, m=9.1×10−35‌kg) is
The momentum of electrons having a wavelength 2Å (given, h=6.626×10−34J− s, m=9.1×10−35‌kg) is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The photoelectric current of voltage in a certain experiment is 1.5V. What is the maximum kinetic energy of photoelectrons emitted?
The photoelectric current of voltage in a certain experiment is 1.5V. What is the maximum kinetic energy of photoelectrons emitted?
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The best waves for emission of electrons from a surface are
The best waves for emission of electrons from a surface are
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The shortest wavelengths of Paschen, Balmer and Lyman series are in the ratio
The shortest wavelengths of Paschen, Balmer and Lyman series are in the ratio
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A sample of a radioactive element whose half-life is 30 s contains a million nuclei at a certain instant of time. How many nuclei will be left after 10 s ?
A sample of a radioactive element whose half-life is 30 s contains a million nuclei at a certain instant of time. How many nuclei will be left after 10 s ?
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A nuclear fission is said to be critical when multiplication factor or k
A nuclear fission is said to be critical when multiplication factor or k
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
In case of a p−n junction diode at high value of reverse bias, the current rises sharply. The value of reverse bias is known as
In case of a p−n junction diode at high value of reverse bias, the current rises sharply. The value of reverse bias is known as
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
The truth table of a logic gate is given below

The logic gate is
The truth table of a logic gate is given below

The logic gate is
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
In a semiconductor diode, the reverse biased current is due to drift of the free electrons and holes caused by
In a semiconductor diode, the reverse biased current is due to drift of the free electrons and holes caused by
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
A TV tower is 120m high. How much more height is to be added to it, if its coverage range is to become double?
A TV tower is 120m high. How much more height is to be added to it, if its coverage range is to become double?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
A message signal of frequency 10‌kHz and peak value of 10V is used to moderate a carrier of frequency 1‌MHz and peak voltage 20V. The modulation index and side bands produced are
A message signal of frequency 10‌kHz and peak value of 10V is used to moderate a carrier of frequency 1‌MHz and peak voltage 20V. The modulation index and side bands produced are
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Vector A has a magnitude of 10 units and makes an angle of 30∘ with the positive X-axis. Vector B has a magnitude of 20 units and makes an angle of 30∘ with the negative X-axis. What is the magnitude of the resultant between these two vectors?
Vector A has a magnitude of 10 units and makes an angle of 30∘ with the positive X-axis. Vector B has a magnitude of 20 units and makes an angle of 30∘ with the negative X-axis. What is the magnitude of the resultant between these two vectors?
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
A uniform chain of length L is lying partly on a table, the remaining part hanging down from the edge of the table. If the coefficient of friction between the chain and the table is 0.5 , what is the minimum length of the chain that should lie on the table, to prevent the chain from slipping down to the ground?
A uniform chain of length L is lying partly on a table, the remaining part hanging down from the edge of the table. If the coefficient of friction between the chain and the table is 0.5 , what is the minimum length of the chain that should lie on the table, to prevent the chain from slipping down to the ground?
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
A bomb of mass 18‌kg at rest explodes into two pieces of masses 6‌kg and 12‌kg. The velocity of 12‌kg mass is 4m∕ s. The kinetic energy of the other mass is
A bomb of mass 18‌kg at rest explodes into two pieces of masses 6‌kg and 12‌kg. The velocity of 12‌kg mass is 4m∕ s. The kinetic energy of the other mass is
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A soap bubble of radius r is blown up to form a bubble of radius 3r under isothermal conditions. If σ is the surface tension of soap solution, then the energy spent in blowing is
A soap bubble of radius r is blown up to form a bubble of radius 3r under isothermal conditions. If σ is the surface tension of soap solution, then the energy spent in blowing is
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The diagram shows a barrel of weight 1.0×103N on a frictionless slope inclined at 30∘ to the horizontal.

The force is parallel to the slope. What is the work done in moving the barrel a distance of 5.0m up the slope?
The diagram shows a barrel of weight 1.0×103N on a frictionless slope inclined at 30∘ to the horizontal.

The force is parallel to the slope. What is the work done in moving the barrel a distance of 5.0m up the slope?
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
A 2‌kg mass lying on a table is displaced in the horizontal direction through 50‌cm. The work done by the normal reaction will be
A 2‌kg mass lying on a table is displaced in the horizontal direction through 50‌cm. The work done by the normal reaction will be
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied?
The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied?
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is V. If the length of the capillary is doubled and the diameter of the bore is halved, then the rate of flow would become
Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is V. If the length of the capillary is doubled and the diameter of the bore is halved, then the rate of flow would become
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
A ball is dropped from the top of the building 100m high. Simultaneously, another ball is thrown upwards from the bottom of the building with such a velocity that the balls collide exactly mid-way. What is the speed in ms−1 with which the second ball is thrown? (Take, g=10ms−2 )
A ball is dropped from the top of the building 100m high. Simultaneously, another ball is thrown upwards from the bottom of the building with such a velocity that the balls collide exactly mid-way. What is the speed in ms−1 with which the second ball is thrown? (Take, g=10ms−2 )
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
In an isochoric process
In an isochoric process
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The average energy of molecules in a sample of oxygen gas at 300K is 6.21×10−21J. The corresponding values at 600K are
The average energy of molecules in a sample of oxygen gas at 300K is 6.21×10−21J. The corresponding values at 600K are
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A mass M is suspended from a light spring. An additional mass m added displaces the spring further by a distance X. Now, the combined mass will oscillate on the spring with period
A mass M is suspended from a light spring. An additional mass m added displaces the spring further by a distance X. Now, the combined mass will oscillate on the spring with period
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
A 10‌kg collar is attached to a spring (spring constant 600N∕m ), it slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 20cm and released. What is the speed of the oscillation?
A 10‌kg collar is attached to a spring (spring constant 600N∕m ), it slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 20cm and released. What is the speed of the oscillation?
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
A body of mass 1‌kg starting from origin with initial velocity of 3
^
i
+4
^
j
ms−1. If a constant force of 2
^
i
−3
^
j
 acts on it, find the coordinate of point it reaches in 3 s.
A body of mass 1‌kg starting from origin with initial velocity of 3
^
i
+4
^
j
ms−1. If a constant force of 2
^
i
−3
^
j
 acts on it, find the coordinate of point it reaches in 3 s.
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
A steel wire has a length of 90‌cm which is under a constant tension of 100N. The speed of the transverse waves that can be produced in the wire will be (take, the mass of the steel wire to be 6×10−3‌kg )
A steel wire has a length of 90‌cm which is under a constant tension of 100N. The speed of the transverse waves that can be produced in the wire will be (take, the mass of the steel wire to be 6×10−3‌kg )
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
The number of electrons in 1C of charges is
The number of electrons in 1C of charges is
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
An electric dipole consists of two opposite charges, each of magnitude 1.0µC separated by a distance of 2.0‌cm. The dipole is placed in an external field of 105NC−1. The maximum torque on the dipole is
An electric dipole consists of two opposite charges, each of magnitude 1.0µC separated by a distance of 2.0‌cm. The dipole is placed in an external field of 105NC−1. The maximum torque on the dipole is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
Two small charged spheres A and B have charges 10µC and 40µC respectively and are held at separation of 90‌cm from each other. At what distance from A, electric field intensity would be zero?
Two small charged spheres A and B have charges 10µC and 40µC respectively and are held at separation of 90‌cm from each other. At what distance from A, electric field intensity would be zero?
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
A charge q is placed at the centre of a cube. The electric flux passing through the cube is
A charge q is placed at the centre of a cube. The electric flux passing through the cube is
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
A parallel plated capacitor has area 2m2 separated by 3 dielectric slabs. Their relative permittivity is 2,3,6 and thickness is 0.4‌mm, 0.6‌mm,1.2‌mm, respectively. The capacitance is
A parallel plated capacitor has area 2m2 separated by 3 dielectric slabs. Their relative permittivity is 2,3,6 and thickness is 0.4‌mm, 0.6‌mm,1.2‌mm, respectively. The capacitance is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
A particle A has charge +q and particle B has charge +4q, each of them having the same mass m. When allowed to fall from rest through the same electrical potential difference, then the ratio of their speeds will become
A particle A has charge +q and particle B has charge +4q, each of them having the same mass m. When allowed to fall from rest through the same electrical potential difference, then the ratio of their speeds will become
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
A body accelerates from rest with a uniform acceleration a for a time t. The uncertainty in a is 8% and the uncertainty in t is 4%. The uncertainty in the speed is
A body accelerates from rest with a uniform acceleration a for a time t. The uncertainty in a is 8% and the uncertainty in t is 4%. The uncertainty in the speed is
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
A parallel plate capacitor has a capacity C. The separation between the plates is doubled and a dielectric medium is inserted between the plates. If the capacity is 3C, then the dielectric constant of the medium will be
A parallel plate capacitor has a capacity C. The separation between the plates is doubled and a dielectric medium is inserted between the plates. If the capacity is 3C, then the dielectric constant of the medium will be
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
Two resistances A and B have colour codes orange, blue, white and brown, red, green, respectively. Then, ratio of their resistances A:B is
Two resistances A and B have colour codes orange, blue, white and brown, red, green, respectively. Then, ratio of their resistances A:B is
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
20‌mL of acetic acid reacts with 20‌mL of ethyl alcohol to form ethyl acetate. The density of acid and alcohol are 1g∕mL and 0.7g∕mL respectively. The limiting reagent in this reaction is
20‌mL of acetic acid reacts with 20‌mL of ethyl alcohol to form ethyl acetate. The density of acid and alcohol are 1g∕mL and 0.7g∕mL respectively. The limiting reagent in this reaction is
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The mass of oxygen gas which occupies 5.6L at STP would be
The mass of oxygen gas which occupies 5.6L at STP would be
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Energy associated with the first orbit of He+is
Energy associated with the first orbit of He+is
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
Pick the incorrect statement among those given below.
Pick the incorrect statement among those given below.
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
For one mole of NaCl(s) the lattice enthalpy is
For one mole of NaCl(s) the lattice enthalpy is
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
An endothermic reaction is found to have + ve entropy change. The reaction will be
An endothermic reaction is found to have + ve entropy change. The reaction will be
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
For an adiabatic change in a system, the condition which is applicable will be
For an adiabatic change in a system, the condition which is applicable will be
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
Which of the following equations give ionic product of water?
I. NH3(aq)+H2O⇌NH4+(aq)+OH−(aq)
II. NH4+(aq)+H2O⇌H3O++NH3(g)
III. NH2−(aq)+H2O⇌NH3(g)+OH−(aq)
IV. NH3(g)+OH−(aq)⇌NH2−(aq)+H2O
Which of the following equations give ionic product of water?
I. NH3(aq)+H2O⇌NH4+(aq)+OH−(aq)
II. NH4+(aq)+H2O⇌H3O++NH3(g)
III. NH2−(aq)+H2O⇌NH3(g)+OH−(aq)
IV. NH3(g)+OH−(aq)⇌NH2−(aq)+H2O
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
The number of H+ions present in 1‌mL of a solution whose pH is 13
The number of H+ions present in 1‌mL of a solution whose pH is 13
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
Strongest reducing agent among the following is
I. Na++e−→Na(s)‌‌‌ ‌‌‌E∘=−2.71V
II. Al3++3e−→Al(s)‌‌‌‌‌E∘=−1.66V
III. F2(g)+2e−→2F−‌‌‌‌‌E∘=+2.87V
IV. 2H2O+2e−→H2(g)+2OH−(aq);‌‌‌E∘=−0.83V
Strongest reducing agent among the following is
I. Na++e−→Na(s)‌‌‌ ‌‌‌E∘=−2.71V
II. Al3++3e−→Al(s)‌‌‌‌‌E∘=−1.66V
III. F2(g)+2e−→2F−‌‌‌‌‌E∘=+2.87V
IV. 2H2O+2e−→H2(g)+2OH−(aq);‌‌‌E∘=−0.83V
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
Choose the correct statement applicable for the reaction: 2H2O+2F2→4‌HF+O2
Choose the correct statement applicable for the reaction: 2H2O+2F2→4‌HF+O2
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Decomposition of hydrogen peroxide can be prevented by adding
Decomposition of hydrogen peroxide can be prevented by adding
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
Mg is an important component of
Mg is an important component of
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
Pb3O4+4HNO3→2‌Pb(NO3)2+‌PbO2 ‌+2H2O
Which is true about the lead ions in Pb3O4 ?
Pb3O4+4HNO3→2‌Pb(NO3)2+‌PbO2 ‌+2H2O
Which is true about the lead ions in Pb3O4 ?
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Which of the following chemicals does not liberate hydrogen gas on reaction with aluminium metal?
Which of the following chemicals does not liberate hydrogen gas on reaction with aluminium metal?
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
The decreasing order of reactivity towards electrophilic substitution of the following compounds is
The decreasing order of reactivity towards electrophilic substitution of the following compounds is
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
An organic compound weighing 0.15g gave on Carius estimation, 0.12g of AgBr.
The percentage of Br in the compound will be close to (Atomic mass of Ag=108,Br=80 )
An organic compound weighing 0.15g gave on Carius estimation, 0.12g of AgBr.
The percentage of Br in the compound will be close to (Atomic mass of Ag=108,Br=80 )
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Identify the correct IUPAC name of the following compound
CH3CH2CH2CH2CN
Identify the correct IUPAC name of the following compound
CH3CH2CH2CH2CN
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
Identify the main product in the following reaction.
C(CH3)3‌OH‌
20%H3PO4
───────▶
358K
 ?
Identify the main product in the following reaction.
C(CH3)3‌OH‌
20%H3PO4
───────▶
358K
 ?
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
BOD is a measure of
BOD is a measure of
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
If same type of atoms are packed in hexagonal close packing and cubic close packing separately, then
If same type of atoms are packed in hexagonal close packing and cubic close packing separately, then
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Silicon doped with arsenic is
Silicon doped with arsenic is
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
Which of the following compounds have the same value of van't Hoff s factor (i) as that of Al2(SO4)3 ?
Which of the following compounds have the same value of van't Hoff s factor (i) as that of Al2(SO4)3 ?
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
The standard electrode potential for Daniell cell is 1.1V. What is the standard Gibbs energy for the reaction?
The standard electrode potential for Daniell cell is 1.1V. What is the standard Gibbs energy for the reaction?
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
The cathode reaction in the dry cell will be
The cathode reaction in the dry cell will be
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
λm∘ for NH4‌Cl,NaOH and NaCl are 130,248 and 126.5Ω−1cm2mol−1 respectively. The λm∘ of NH4‌OH will be
λm∘ for NH4‌Cl,NaOH and NaCl are 130,248 and 126.5Ω−1cm2mol−1 respectively. The λm∘ of NH4‌OH will be
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
In a chemical reaction i.e. , A+2B→ products, when concentration of A is doubled, rate of the reaction increases 4 times and when concentration of B alone is doubled rate continues to be the same. The order of the reaction is
In a chemical reaction i.e. , A+2B→ products, when concentration of A is doubled, rate of the reaction increases 4 times and when concentration of B alone is doubled rate continues to be the same. The order of the reaction is
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Zeolites are shape selective structures because of
Zeolites are shape selective structures because of
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
Sulphur sol is a type of
Sulphur sol is a type of
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
The magnetite ore is
The magnetite ore is
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
In the metallurgy of aluminium, when the fused matrix is electrolysed, the overall reduction reaction is
In the metallurgy of aluminium, when the fused matrix is electrolysed, the overall reduction reaction is
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
Carbon monoxide forms volatile compound with
Carbon monoxide forms volatile compound with
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
Which of the following reactions does not produce PH3 ?
Which of the following reactions does not produce PH3 ?
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
The decreasing order of stability of oxides of halogen is
The decreasing order of stability of oxides of halogen is
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
N2 does not show property of catenation because
N2 does not show property of catenation because
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
Hybridised state of bromine in bromine pentafluoride is
Hybridised state of bromine in bromine pentafluoride is
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
An element belonging to chalcogen group is
An element belonging to chalcogen group is
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
More number of oxidation state are exhibited by the actinoids, than by lanthanoids. The main reason for this is
More number of oxidation state are exhibited by the actinoids, than by lanthanoids. The main reason for this is
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
A transition elements with atomic number 24 will have its magnetic moment
A transition elements with atomic number 24 will have its magnetic moment
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
In tetrahedral permanganate ion π-bonding type between metal and oxygen is
In tetrahedral permanganate ion π-bonding type between metal and oxygen is
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
Which of the following pairs has the same size?
Which of the following pairs has the same size?
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
[Ti(H2O)6]2+ is a 3d2 system, the value of crystal field stabilisation energy decreases by
[Ti(H2O)6]2+ is a 3d2 system, the value of crystal field stabilisation energy decreases by
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
Among the complexes of Ni listed below, the following is the only correct statement about the given compounds.
I. [Ni(CO)4]
II. [Ni(CN)4]2−
III. [NiCl4]2−
Among the complexes of Ni listed below, the following is the only correct statement about the given compounds.
I. [Ni(CO)4]
II. [Ni(CN)4]2−
III. [NiCl4]2−
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
The formula for sodium trioxalatoaluminate (III) is
The formula for sodium trioxalatoaluminate (III) is
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
Which one of the following coordination entity is chiral?
Which one of the following coordination entity is chiral?
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
Which of the following compounds is responsible for depletion of ozone layer?
Which of the following compounds is responsible for depletion of ozone layer?
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
Ethanol, when warmed with iodine and sodium carbonate gives a yellow coloured crystalline solid, which is used in preparation of antiseptic ointments. The yellow coloured crystalline substance is
Ethanol, when warmed with iodine and sodium carbonate gives a yellow coloured crystalline solid, which is used in preparation of antiseptic ointments. The yellow coloured crystalline substance is
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
Consider the acid strength of the carboxylic acids.
I. PhCOOH
II. o- NO2C6H4‌COOH
III. p - NO2C6H4‌COOH‌‌
IV. m - NO2C6H4‌COOH
Consider the acid strength of the carboxylic acids.
I. PhCOOH
II. o- NO2C6H4‌COOH
III. p - NO2C6H4‌COOH‌‌
IV. m - NO2C6H4‌COOH
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
Which of the following is the correct sequence of relative acidic strength?
Which of the following is the correct sequence of relative acidic strength?
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
A mixture of methylamine and dimethyl amine is given to you. The reagents used to separate the components of the mixture are
A mixture of methylamine and dimethyl amine is given to you. The reagents used to separate the components of the mixture are
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
Gabriel phthalimide synthesis is used for the preparation of
Gabriel phthalimide synthesis is used for the preparation of
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
The correct increasing order of basic strength of following amines,
C2H5NH2,NH3,(C2H5)2‌NH,C6H5NH2 in gaseous state is
The correct increasing order of basic strength of following amines,
C2H5NH2,NH3,(C2H5)2‌NH,C6H5NH2 in gaseous state is
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
The sequence of bases on RNA molecule synthesise on the GCATA strand of DNA is
The sequence of bases on RNA molecule synthesise on the GCATA strand of DNA is
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
α-helix and β-pleated structures of proteins are classified as
α-helix and β-pleated structures of proteins are classified as
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
Which statement is not true for describing enzymes?
Which statement is not true for describing enzymes?
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
Which of the following are monosaccharides?
Which of the following are monosaccharides?
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
Nylon- 6,6 is an example of a polymer formed by
Nylon- 6,6 is an example of a polymer formed by
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
Which of the following will form a biodegradable polymer?
Which of the following will form a biodegradable polymer?
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
Detergents can be made biodegradable and pollution free by
Detergents can be made biodegradable and pollution free by
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
Sodium rosinate is generally added in the soap because it
Sodium rosinate is generally added in the soap because it
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
If two sets A and B have 99 elements in common, then the number of elements common to the sets A×B and B×A is
If two sets A and B have 99 elements in common, then the number of elements common to the sets A×B and B×A is
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
If f(x)=ex and g(x)=log‌ex, then which of the following is true?
If f(x)=ex and g(x)=log‌ex, then which of the following is true?
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
The number of bijective functions from the set A to itself, if A contains 108 elements is
The number of bijective functions from the set A to itself, if A contains 108 elements is
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
If a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100 , Physics 70 , Chemistry 40 . Mathematics and Physics 30 , Mathematics and Chemistry 28, Physics and Chemistry 23, Mathematics, Physics and Chemistry 18 . The number of students who have opted Mathematics alone is
If a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100 , Physics 70 , Chemistry 40 . Mathematics and Physics 30 , Mathematics and Chemistry 28, Physics and Chemistry 23, Mathematics, Physics and Chemistry 18 . The number of students who have opted Mathematics alone is
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
If a set A has 4 elements, then the total number of proper subsets of set A, is
If a set A has 4 elements, then the total number of proper subsets of set A, is
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
If tan(x+y)=33 and x=tan−13, then y is
If tan(x+y)=33 and x=tan−13, then y is
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
cot−1(21)+cot−1(13)+cot−1(−8)=
cot−1(21)+cot−1(13)+cot−1(−8)=
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
tan(cos−1(‌
1
5√2
)−sin‌−1(‌
4
√17
)) is equal to
tan(cos−1(‌
1
5√2
)−sin‌−1(‌
4
√17
)) is equal to
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
.The number of solutions of the equation |cot‌x|=cot‌x+‌
1
sin‌x
,(0≤x≤2π) is
.The number of solutions of the equation |cot‌x|=cot‌x+‌
1
sin‌x
,(0≤x≤2π) is
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
‌
sin‌x−sin‌3x
sin‌2x−cos2x
 is equal to
‌
sin‌x−sin‌3x
sin‌2x−cos2x
 is equal to
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
In a △ABC,cosec‌A(sin‌B‌cos‌C+cos‌B‌s‌i‌n‌C)=
In a △ABC,cosec‌A(sin‌B‌cos‌C+cos‌B‌s‌i‌n‌C)=
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
Amplitude of the complex number isin‌(‌
π
19
) is
Amplitude of the complex number isin‌(‌
π
19
) is
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
Given, 5 line segments of lengths 2,3,4,5,6 units. Then, the number of triangles that can be formed by joining these segments is
Given, 5 line segments of lengths 2,3,4,5,6 units. Then, the number of triangles that can be formed by joining these segments is
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
How many numbers greater than 1000000 be formed from 2,3,0,3,4,2,3 ?
How many numbers greater than 1000000 be formed from 2,3,0,3,4,2,3 ?
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
The expression ‌
1
√(3x+1)
[(‌
1+√3x+1
2
)7−(‌
1−√3x+1
2
)7] is a polynomial in x of degree
The expression ‌
1
√(3x+1)
[(‌
1+√3x+1
2
)7−(‌
1−√3x+1
2
)7] is a polynomial in x of degree
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
If in the expansion of (1+px)n,n∈N, the coefficient of x and x2 are 8 and 24, then
If in the expansion of (1+px)n,n∈N, the coefficient of x and x2 are 8 and 24, then
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
113+123+133+....+203 is
113+123+133+....+203 is
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
The medians AD and BE of a triangle with vertices A(0,b),B(0,0) and C(a,0) are perpendicular to each other, if
The medians AD and BE of a triangle with vertices A(0,b),B(0,0) and C(a,0) are perpendicular to each other, if
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
Let a and b be non-zero real such that a≠b. Then, the equation of the line passing through the origin and the point of intersection of ‌
x
a
+‌
y
b
=1 and ‌
x
b
+‌
y
a
=1 is
Let a and b be non-zero real such that a≠b. Then, the equation of the line passing through the origin and the point of intersection of ‌
x
a
+‌
y
b
=1 and ‌
x
b
+‌
y
a
=1 is
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
A straight lines meets the coordinates axes at A and B, so that the centroid of the △OAB is (1,2). Then, the equation of the line AB is
A straight lines meets the coordinates axes at A and B, so that the centroid of the △OAB is (1,2). Then, the equation of the line AB is
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
The direction ratios of the line which is perpendicular to the lines ‌
x−7
2
=‌
y+17
−3
=‌
z−6
1
 and ‌
x+5
1
=‌
y+3
2
=‌
z−4
−2
 are
The direction ratios of the line which is perpendicular to the lines ‌
x−7
2
=‌
y+17
−3
=‌
z−6
1
 and ‌
x+5
1
=‌
y+3
2
=‌
z−4
−2
 are
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
A line making angles 45∘ and 60∘ with the positive directions of the axis of X and Y, makes with the positive direction of Z-axis, an angle of
A line making angles 45∘ and 60∘ with the positive directions of the axis of X and Y, makes with the positive direction of Z-axis, an angle of
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
The shortest distance between the lines ‌
x−3
3
=‌
y−8
−1
=‌
z−3
1
 and ‌
x+3
−3
=‌
y+7
2
=‌
z−6
4
 is
The shortest distance between the lines ‌
x−3
3
=‌
y−8
−1
=‌
z−3
1
 and ‌
x+3
−3
=‌
y+7
2
=‌
z−6
4
 is
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
lim
x→∞
(√a2x2+bx+x−ax)=
lim
x→∞
(√a2x2+bx+x−ax)=
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
If y=|cos‌x|+|sin‌x|, then ‌
dy
dx
 at x=‌
2π
3
 is
If y=|cos‌x|+|sin‌x|, then ‌
dy
dx
 at x=‌
2π
3
 is
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
-The slant height of a cone is fixed at 7‌cm. If the rate of increase of its height is 0.3‌cm∕ sec, then the rate of increase of its volume when its height is 4‌cm is
-The slant height of a cone is fixed at 7‌cm. If the rate of increase of its height is 0.3‌cm∕ sec, then the rate of increase of its volume when its height is 4‌cm is
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
A ladders 5m long is leaning against a wall. The bottom of the ladder is pulled along the ground away from the wall, at the rate of 2m∕ sec. The speed at which its height on the wall decreases when the foot of the ladder is 4m away from the wall is
A ladders 5m long is leaning against a wall. The bottom of the ladder is pulled along the ground away from the wall, at the rate of 2m∕ sec. The speed at which its height on the wall decreases when the foot of the ladder is 4m away from the wall is
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
The angle between the curve y2=4ax and ay=2x2 is
The angle between the curve y2=4ax and ay=2x2 is
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
The maximum area in square units of an isosceles triangle inscribed in an ellipses ‌
x2
a2
+‌
y2
b2
=1 with its vertex at one end of the major axis is
The maximum area in square units of an isosceles triangle inscribed in an ellipses ‌
x2
a2
+‌
y2
b2
=1 with its vertex at one end of the major axis is
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
If f(x+y)=f(x)f(y) for all x and y and f(5)=2,f′(0)=3, then f′(5) is
If f(x+y)=f(x)f(y) for all x and y and f(5)=2,f′(0)=3, then f′(5) is
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
If f(x)=logx2(log‌x), then f′(x) at x=e is
If f(x)=logx2(log‌x), then f′(x) at x=e is
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
The value of c in Lagrange's mean value theorem for the function f(x)=log(sin‌x) in the interval [‌
π
6
,‌
5π
6
] is
The value of c in Lagrange's mean value theorem for the function f(x)=log(sin‌x) in the interval [‌
π
6
,‌
5π
6
] is
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
1
∫
−1
(x27‌cos‌x+ex)‌dx=
1
∫
−1
(x27‌cos‌x+ex)‌dx=
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
The value of the integral
π
∫
0
‌
xsin‌2nx
sin‌2nx+cos2nx
‌dx is
The value of the integral
π
∫
0
‌
xsin‌2nx
sin‌2nx+cos2nx
‌dx is
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
∫‌
x3−1
x3+x
‌dx=
∫‌
x3−1
x3+x
‌dx=
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
If ∫‌
cos‌8‌x+1
tan‌2‌x−cot‌2‌x
‌dx=a‌cos‌8‌x+c, then a=
If ∫‌
cos‌8‌x+1
tan‌2‌x−cot‌2‌x
‌dx=a‌cos‌8‌x+c, then a=
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
If
π
∫
0
xf(sin‌x)‌dx=A‌
π∕2
∫
0
f(sin‌x)‌dx, then A is equal to
If
π
∫
0
xf(sin‌x)‌dx=A‌
π∕2
∫
0
f(sin‌x)‌dx, then A is equal to
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
Area bounded by the curve y=x3, the X-axis and the ordinates at x=−2 and x=1, is
Area bounded by the curve y=x3, the X-axis and the ordinates at x=−2 and x=1, is
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
The area in square units bounded by the normal at (1,2) to the parabola y2=4x,X-axis and the curve is given by
The area in square units bounded by the normal at (1,2) to the parabola y2=4x,X-axis and the curve is given by
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
Area bounded by the Y-axis, y=cos‌x,y=sin‌x, when 0≤x≤‌
π
2
 is
Area bounded by the Y-axis, y=cos‌x,y=sin‌x, when 0≤x≤‌
π
2
 is
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
The area in square units of the region bounded by y2=9x and y=3x is
The area in square units of the region bounded by y2=9x and y=3x is
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
e
∫
1
log‌x‌dx=
e
∫
1
log‌x‌dx=
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
The differential equation of the family of parabolas y2=4ax, where a is parameter, is
The differential equation of the family of parabolas y2=4ax, where a is parameter, is
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
If ‌
dy
dx
=‌
y+x‌tan‌
y
x
x
, then sin‌(‌
y
x
)=
If ‌
dy
dx
=‌
y+x‌tan‌
y
x
x
, then sin‌(‌
y
x
)=
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
The general solution of the differential equation (‌
dy
dx
)+y⋅g′(x)=g(x)⋅g′(x), where g(x) is a given function of x is
The general solution of the differential equation (‌
dy
dx
)+y⋅g′(x)=g(x)⋅g′(x), where g(x) is a given function of x is
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
The product of the degree and order of the differential equation (‌
d2y
dx2
)2−(‌
dy
dx
)3=y3 is
The product of the degree and order of the differential equation (‌
d2y
dx2
)2−(‌
dy
dx
)3=y3 is
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
Given, two vectors
^
i
−
^
j
 and
^
i
−2
^
j
. The unit vector, coplanar with the two given vectors and perpendicular to (
^
i
−
^
j
) is
Given, two vectors
^
i
−
^
j
 and
^
i
−2
^
j
. The unit vector, coplanar with the two given vectors and perpendicular to (
^
i
−
^
j
) is
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
If a,b,c are three non-zero vectors such that each one of them are perpendicular to the sum of the other two vectors, then the value of |a+b+c|2 is
If a,b,c are three non-zero vectors such that each one of them are perpendicular to the sum of the other two vectors, then the value of |a+b+c|2 is
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
If A and B are 2 matrices such that AB=A and BA=B, then B2 is equal to
If A and B are 2 matrices such that AB=A and BA=B, then B2 is equal to
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
If a,b,c are in AP, then the value of the determinant‌|
x+2x+3x+2a
x+3x+4x+2b
x+4x+5x+2c
| is
If a,b,c are in AP, then the value of the determinant‌|
x+2x+3x+2a
x+3x+4x+2b
x+4x+5x+2c
| is
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
If A=[
a00
0a0
00a
], then det(adj‌A) is
If A=[
a00
0a0
00a
], then det(adj‌A) is
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
If A=[
10
11
] and A8=aA+bI, then (a,b)=
If A=[
10
11
] and A8=aA+bI, then (a,b)=
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
An urn contains 9 balls, 2 of which are white, 3 blue and 4 black. 3 balls are drawn at random from the urn. The chance that 2 balls will be of the same colour and the third of a different colour is
An urn contains 9 balls, 2 of which are white, 3 blue and 4 black. 3 balls are drawn at random from the urn. The chance that 2 balls will be of the same colour and the third of a different colour is
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
6 boys and 6 girls in a row at random. The probability that all the girls sit together is
6 boys and 6 girls in a row at random. The probability that all the girls sit together is
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
Three dice are rolled once. The chance of getting a score of 5 is
Three dice are rolled once. The chance of getting a score of 5 is
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
A bag contains 3 white, 4 black, 2 red balls. If 2 balls are drawn at random, then the probability that both the balls are white is
A bag contains 3 white, 4 black, 2 red balls. If 2 balls are drawn at random, then the probability that both the balls are white is
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
The solution of ‌
6x
4x−1
<‌
1
2
 is
The solution of ‌
6x
4x−1
<‌
1
2
 is
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
If S2=at2+2bt+c, then acceleration is
If S2=at2+2bt+c, then acceleration is
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
The mean and variance for the data 6,7,10,12, 13,4,8,12 respectively are
The mean and variance for the data 6,7,10,12, 13,4,8,12 respectively are
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
If the conjugate of (x+iy)(1−2i) is 1+i, then
If the conjugate of (x+iy)(1−2i) is 1+i, then
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