Solved papers for RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

done Rajasthan PET Solved Paper-2004 Total Questions - 300

• question_answer1) F-or a triode amplification factor 20 and \[{{g}_{m}}=3\text{ }m\,\Omega ,\]If the resistance is\[3\times {{10}^{4}}\Omega ,\] the voltage gain will be
  A)
   16.36            
  done clear
  B)
   28
  done clear
  C)
   78               
  done clear
  D)
   108
  done clear
  View Answer play_arrow

• question_answer2) Half-life of a radioactive element is T and its decay constant is \[\lambda \], then
  A)
   \[\lambda T=1\]           
  done clear
  B)
   \[\lambda T=1/2\]
  done clear
  C)
   \[\lambda T={{\log }_{e}}2\]     
  done clear
  D)
   \[\lambda =-{{\log }_{e}}2T\]
  done clear
  View Answer play_arrow

• question_answer3) Internal resistance of cell does not depend upon the
  A)
   current taken by cell
  done clear
  B)
   distance between the electrode
  done clear
  C)
   concentration of electrolyte
  done clear
  D)
   emf of cell
  done clear
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• question_answer4) Charge is quantized. This prove from
  A)
   experiment of Devisson- Jarmer
  done clear
  B)
   effect of Compton-scattering
  done clear
  C)
   Millikans oil drop experiment
  done clear
  D)
   Raman-scattering
  done clear
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• question_answer5) The relative permittivity for diamagnetic material is
  A)
   \[-1<{{\mu }_{r}}<-10\]      
  done clear
  B)
   \[1<{{\mu }_{r}}<10\]
  done clear
  C)
   \[-1<{{\mu }_{r}}>10\]     
  done clear
  D)
   \[0<{{\mu }_{r}}>1\]
  done clear
  View Answer play_arrow

• question_answer6) In an induction coil with resistance, the induced emf will be maximum when
  A)
   the switch is put on due to high resistance
  done clear
  B)
   the switch is put off due to high resistance
  done clear
  C)
   the switch is put on due to low resistance
  done clear
  D)
   the switch is put off due to low resistance
  done clear
  View Answer play_arrow

• question_answer7) In stationary waves, the nodes have
  A)
   maximum energy
  done clear
  B)
   maximum change in pressure and density
  done clear
  C)
   maximum change in distortion
  done clear
  D)
   All of the above
  done clear
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• question_answer8) The ratio of diameter of 4th semi-frequency zone to 9th semi-frequency zone will be
  A)
   2/3              
  done clear
  B)
   4/9
  done clear
  C)
   1/4               
  done clear
  D)
   16/81
  done clear
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• question_answer9) If the specific resistance and area of the potential meter wire are\[\rho \]and A respectively and the current / flows in the wire, then potential gradient will be
  A)
   \[I\rho /A\]            
  done clear
  B)
   \[I/Ap\]
  done clear
  C)
   \[IA/\rho \]            
  done clear
  D)
   \[I/A\rho \]
  done clear
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• question_answer10) The de-Broglie wavelength related to a-particle accelerated by V volt will be
  A)
   \[\frac{0.287}{\sqrt{V}}\]\[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  B)
   \[\frac{12.27}{\sqrt{V}}\]\[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  C)
   \[\frac{4.34}{\sqrt{V}}\]\[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  D)
   \[\frac{0.202}{\sqrt{V}}\]\[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  View Answer play_arrow

• question_answer11) The peak value of AC current is 2\[\sqrt{2}\] A. Its apparent value will be
  A)
   1 A                
  done clear
  B)
   2 A
  done clear
  C)
   4 A               
  done clear
  D)
   zero
  done clear
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• question_answer12) The wavelength of first line of balmer series is 6563\[\overset{o}{\mathop{\text{A}}}\,\]. The wavelength of first line of lymen series will be
  A)
   1215.4\[\overset{o}{\mathop{\text{A}}}\,\]         
  done clear
  B)
   2500\[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  C)
   7500\[\overset{o}{\mathop{\text{A}}}\,\]            
  done clear
  D)
   600\[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
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• question_answer13) The nature of circuit is antiresonant of maximum frequency from resonant frequency will be
  A)
   resistance        
  done clear
  B)
   capacitance
  done clear
  C)
   inductance       
  done clear
  D)
   All of these
  done clear
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• question_answer14) The reactance of inductance at\[{{10}^{4}}\]Hz is\[{{10}^{4}}\]\[\Omega \]. Its reactance at \[2\times {{10}^{4}}Hz\] will be
  A)
   \[{{10}^{4}}\Omega \]           
  done clear
  B)
   \[2\times {{10}^{4}}\Omega \]
  done clear
  C)
   \[3\times {{10}^{4}}\Omega \]       
  done clear
  D)
   \[4\times {{10}^{4}}\Omega \]
  done clear
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• question_answer15) At NTP for the same volume of two gases of constant unit will be
  A)
   the total number of molecule
  done clear
  B)
   average kinetic energy
  done clear
  C)
   square mean root velocity
  done clear
  D)
   mean free path
  done clear
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• question_answer16) At normal temperature for the diatomic gas, the number of degree of freedom is
  A)
   7               
  done clear
  B)
   6
  done clear
  C)
   5               
  done clear
  D)
   4
  done clear
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• question_answer17) In capillery, meniscus of mercury is
  A)
   concave         
  done clear
  B)
   convex
  done clear
  C)
   plane            
  done clear
  D)
   circular
  done clear
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• question_answer18) A ball is released from height h on the ground level. If the coefficient of restitution is e, then what height will after 2 times jump from ground?
  A)
   \[eh/2\]              
  done clear
  B)
   \[2eh\]
  done clear
  C)
   \[eh\]              
  done clear
  D)
   \[{{e}^{4}}h\]
  done clear
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• question_answer19) The moment of inertia of a straight thin rod of mass M and length L about an axis perpendicular to its length and passing through its one end, is
  A)
   \[\frac{M{{L}^{2}}}{3}\]
  done clear
  B)
   \[\frac{M{{L}^{2}}}{12}\]
  done clear
  C)
   \[\frac{M{{L}^{2}}}{2}\]
  done clear
  D)
   \[\frac{M{{L}^{2}}}{13}\]
  done clear
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• question_answer20) If the displacement of simple pendulum at any time is 0.02 m and acceleration is\[2\text{ }m/{{s}^{2}},\] then in this time angular velocity will be
  A)
   100 rad/s        
  done clear
  B)
   10 rad/s
  done clear
  C)
   1 rad/s   
  done clear
  D)
   0.1 rad/s
  done clear
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• question_answer21) Which is constant, the earth revolving around the sun?
  A)
   Angular momentum
  done clear
  B)
   Linear momentum
  done clear
  C)
   Rotational kinetic energy        
  done clear
  D)
   Kinetic energy
  done clear
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• question_answer22) Two springs of force constants k and 2k are connected to a mass M as shown below. The time period of oscillation of the mass M is
  A)
    \[2\pi \sqrt{\frac{3k}{M}}\]
  done clear
  B)
   \[2\pi \sqrt{\frac{k}{M}}\]
  done clear
  C)
   \[2\pi \sqrt{\frac{M}{2k}}\]
  done clear
  D)
   \[2\pi \sqrt{\frac{M}{3k}}\]
  done clear
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• question_answer23) Two spheres each of mass M and radius R/2 are connected with a massless rod of length 2R as shown in the figure. What will be the moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod?
  A)
   \[pV\]
  done clear
  B)
   \[2pV\]
  done clear
  C)
   \[3pV\]
  done clear
  D)
   \[4pV\]
  done clear
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• question_answer24) In non- elastic collision
  A)
   momentum is conserved
  done clear
  B)
   energy is conserved
  done clear
  C)
   momentum and energy are conserved
  done clear
  D)
   momentum and energy are non conserved
  done clear
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• question_answer25) In adiabatic process, the work done by system is 50 J, then
  A)
   the temperature of the system will be increase 50 J
  done clear
  B)
   the temperature of the system will be constant
  done clear
  C)
   the internal energy of the system will be increase 50 J
  done clear
  D)
   the internal energy of the system will be decrease 50 J
  done clear
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• question_answer26) An ideal monoatomic gas is taken round the cycle LMNO as shown in following diagram. The work done during the cycle is
  A)
   pV             
  done clear
  B)
   2pV
  done clear
  C)
   3pV            
  done clear
  D)
   4pV
  done clear
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• question_answer27) Water rise upto 5 cm in a straight capillary tube when its one end is dipped   vertically in water. If it is bent according to the diagram, then the length of water column will be
  A)
   5 cm            
  done clear
  B)
   less than 5 cm
  done clear
  C)
   more than 5 cm  
  done clear
  D)
   5 cos \[\alpha \]
  done clear
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• question_answer28) The requirement in phase relative source that those
  A)
   amplitudes are same
  done clear
  B)
   wavelengths are same
  done clear
  C)
   frequencies are same
  done clear
  D)
   first phase difference are same
  done clear
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• question_answer29) In the Young's double slit experiment, intensities of black and bright fringes are 1 and 4 respectively, the ratio of amplitudes of sources will be
  A)
   1 : 1                
  done clear
  B)
   1 : 2
  done clear
  C)
   3 : 1                
  done clear
  D)
   1 : 4
  done clear
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• question_answer30) The primary reason of generation of Frounhofer line is
  A)
   reflection of radiations by chromosphere
  done clear
  B)
   absorption of radiation by chromosphere
  done clear
  C)
   emittion of radiation by chromosphere
  done clear
  D)
   transmission of radiation by chromospheres
  done clear
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• question_answer31) The emf and current in an AC circuit are given by \[E=200\text{ }sin\text{ }314t\]volt and \[I=\,100\,\sin \,\left( 314+\frac{\pi }{3} \right)A,\] the coefficient of power will be
  A)
   1/2              
  done clear
  B)
   1/4
  done clear
  C)
   1                
  done clear
  D)
   \[-1\]
  done clear
  View Answer play_arrow

• question_answer32) A pure resistance is attached as shown in figure. The phase difference between the emf and flowing current will be
  A)
   zero            
  done clear
  B)
   \[\pi \]/2
  done clear
  C)
   \[-\pi \]/2            
  done clear
  D)
   \[\pi /4\]
  done clear
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• question_answer33) If inductance and resistance of chocke coil are\[{{X}_{L}}\] and R respectively, then
  A)
   \[{{X}_{L}}=r\]          
  done clear
  B)
   \[{{X}_{L}}>>R\]
  done clear
  C)
   \[{{X}_{L}}<<R\]
  done clear
  D)
   \[{{X}_{L}}=\infty \]
  done clear
  View Answer play_arrow

• question_answer34) The path difference, time difference and phase  difference between two successive zones will be
  A)
   \[\frac{\lambda }{2},\frac{T}{2}and\pi \]
  done clear
  B)
   \[\lambda ,T\,and\,\pi \]
  done clear
  C)
   \[\frac{\lambda }{2},\frac{T}{2}and\,\frac{\pi }{2}\]
  done clear
  D)
   \[\frac{\lambda }{2},\frac{T}{2}and\,2\pi \]
  done clear
  View Answer play_arrow

• question_answer35) The ozone layer is important because
  A)
   it prevents the cooling of each at night
  done clear
  B)
   it prevents the IR rays coming from the space
  done clear
  C)
   it prevents UV rays from the meteors coming from the space
  done clear
  D)
   it prevents the UV rays and micro rays the coming from the space
  done clear
  View Answer play_arrow

• question_answer36) The number of zones for achieving the first minima on the screen due to circular gate will be
  A)
   4                
  done clear
  B)
   6
  done clear
  C)
   3                
  done clear
  D)
   2
  done clear
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• question_answer37) In India for the use the fixed value of voltage and frequency of electricity are
  A)
   200 V, 60 Hz     
  done clear
  B)
   220 V. 50 Hz
  done clear
  C)
   220 V, 60 Hz     
  done clear
  D)
   220 V, 50 Hz
  done clear
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• question_answer38) If resonant frequency is \[f\]and capacity become 4 times, then resonant frequency will be
  A)
   \[f/2\]            
  done clear
  B)
   \[2f\]
  done clear
  C)
   \[f\]               
  done clear
  D)
   \[f/4\]
  done clear
  View Answer play_arrow

• question_answer39) The forbidden energy gap in the intrinsic semiconductor is
  A)
   0.1 eV           
  done clear
  B)
   1 eV
  done clear
  C)
   5 eV             
  done clear
  D)
   10 eV
  done clear
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• question_answer40) How much kinetic energy will be gained by an \[\alpha \] -particle in going from a point at 70 V to another point at 50 V?
  A)
   40 eV           
  done clear
  B)
   40 keV
  done clear
  C)
   40 MeV         
  done clear
  D)
   Zero
  done clear
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• question_answer41) The relation among magnetic induction B, magnetic field H and magnetic intensity \[I\]is
  A)
   \[B={{\mu }_{0}}H+I\]     
  done clear
  B)
   \[B=~{{\mu }_{0}}I+H\]
  done clear
  C)
   \[B={{\mu }_{0}}(H+I)\]   
  done clear
  D)
   \[B+{{\mu }_{0}}(H-I)\]
  done clear
  View Answer play_arrow

• question_answer42) The velocity of sound in air is 333 m/s and the fundamental frequency of open pipe is 333 Hz. The length of pipe to produced second overtones will be
  A)
   0.5 m              
  done clear
  B)
   1.0 m
  done clear
  C)
   1.5 m              
  done clear
  D)
   2 m
  done clear
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• question_answer43) If the length of sonometer wire is to be half, the value of resonance frequency will be
  A)
   three times       
  done clear
  B)
   half
  done clear
  C)
   four times       
  done clear
  D)
   twice
  done clear
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• question_answer44) At what speed should a source of sound move so that stationary observer finds the apparent frequency equal to half of the original frequency?
  A)
   \[\frac{v}{2}\]
  done clear
  B)
   \[2v\]
  done clear
  C)
   \[\frac{v}{4}\]
  done clear
  D)
   \[v\]
  done clear
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• question_answer45) The intensity of the X-rays in coolidge tube control
  A)
   by the current flowing in the filament
  done clear
  B)
   by potential between the cathode and anti- cathode
  done clear
  C)
   Both [a] and [b]
  done clear
  D)
   None of the above
  done clear
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• question_answer46) Which of the following is correct in terms of increasing work done for the same initial and final states?
  A)
   Adiabatic < Isothermal < Isobaric
  done clear
  B)
   Isobaric < Adiabatic < Isothermal
  done clear
  C)
   Adiabatic < Isobaric < Isothermal
  done clear
  D)
   None of the above
  done clear
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• question_answer47) A mica slit of thickness t and refractive index \[\mu \] is introduced in the ray from the first source\[{{S}_{1}}\]. By how much distance of fringes pattern will be displaced?
  A)
   \[\frac{d}{D}(\mu -1)t\]
  done clear
  B)
   \[\frac{D}{d}(\mu -1)t\]
  done clear
  C)
   \[\frac{d}{(\mu -1)D}\]
  done clear
  D)
   \[\frac{D}{d}(\mu -1)\]
  done clear
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• question_answer48) The degree of air pressure in coolidge tube
  A)
   zero             
  done clear
  B)
   \[{{10}^{-6}}\]mm (mercury)
  done clear
  C)
   \[{{10}^{-3}}\]mm (mercury)
  done clear
  D)
   1 mm (mercury)
  done clear
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• question_answer49) The fundamental frequency of open pipe is n. The tube is immersed in water by placing in a vertical position so that its half part remain in the water. Now the fundamental frequency of air column will be
  A)
   \[\frac{n}{2}\]
  done clear
  B)
   \[\frac{2n}{4}\]
  done clear
  C)
   \[n\]
  done clear
  D)
   \[2n\]
  done clear
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• question_answer50) The refractive index of water is 4/3 and that of glass is 5/3. What will be the critical angle for the ray of light entering water from the glass?
  A)
   \[{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
  done clear
  B)
   \[{{\sin }^{-1}}\left( \frac{5}{4} \right)\]
  done clear
  C)
   \[{{\sin }^{-1}}\left( \frac{1}{2} \right)\]
  done clear
  D)
   \[{{\sin }^{-1}}\left( \frac{2}{1} \right)\]
  done clear
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• question_answer51) A rocket emitting sound of frequency\[4\times {{10}^{7}}Hz\]is going away from the earth with a speed of 0.2 c, frequency of sound to be heard by the listener is
  A)
   \[4\times {{10}^{6}}Hz\]       
  done clear
  B)
   \[3.3\times {{10}^{7}}Hz\]
  done clear
  C)
   \[3\times {{10}^{6}}Hz\]       
  done clear
  D)
   \[5\times {{10}^{7}}Hz\]
  done clear
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• question_answer52) The radius of fourth zone at observation point present at a distance of 4 m from the plane wave front of wavelength 6400\[\overset{o}{\mathop{\text{A}}}\,\] is
  A)
   \[32\times {{10}^{-4}}\]      
  done clear
  B)
   \[32\times {{10}^{-4}}cm\]
  done clear
  C)
   \[32\times {{10}^{-4}}mm\]     
  done clear
  D)
   \[16\times {{10}^{-2}}m\]
  done clear
  View Answer play_arrow

• question_answer53) A normally incident ray reflected at angle of\[90{}^\circ \]. The value of critical angle is
  A)
   \[45{}^\circ \]              
  done clear
  B)
   \[90{}^\circ \]
  done clear
  C)
   \[64{}^\circ \]              
  done clear
  D)
   \[43.5{}^\circ \]
  done clear
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• question_answer54) The produced rays in sonography are
  A)
   microwaves      
  done clear
  B)
   infrared waves
  done clear
  C)
   sound waves     
  done clear
  D)
   ultra sound
  done clear
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• question_answer55) The ratio of secondary of primary turns of step up transformer is 4: 1. If a current of 4 A is applied to the primary, the induced current in secondary will be
  A)
   8 A                
  done clear
  B)
   2 A
  done clear
  C)
   1 A                
  done clear
  D)
   0.5 A
  done clear
  View Answer play_arrow

• question_answer56) Two waves are represent by \[{{y}_{1}}=\alpha \sin \left( \omega t+\frac{\pi }{6} \right),{{y}_{2}}=a\cos \,\omega t,\]the resultant amplitude will be
  A)
   \[a\]                
  done clear
  B)
   \[a\sqrt{2}\]
  done clear
  C)
   \[a\sqrt{3}\]               
  done clear
  D)
   \[2a\]
  done clear
  View Answer play_arrow

• question_answer57) The plate resistance of a triode is 15 k \[\Omega \] and voltage gain is 50. If load resistance is 100 k \[\Omega \] the amplification factor will be
  A)
   5                 
  done clear
  B)
   50
  done clear
  C)
   57.5              
  done clear
  D)
   75.5
  done clear
  View Answer play_arrow

• question_answer58) The relation between magnetic susceptibility\[\chi \] and temperature T of paramagnetic materials is
  A)
   \[\chi \]\[=C/T\]      
  done clear
  B)
   \[\chi \]\[=CT\]
  done clear
  C)
   \[\chi \]\[=T/C\]      
  done clear
  D)
   \[\chi \]\[=C{{T}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer59) At the plate voltage of 400 V and 200 V respectively the currents are\[{{i}_{{{p}_{1}}}}\]and\[{{i}_{{{p}_{2}}}}\]respectively. The ratio\[{{i}_{{{p}_{1}}}}/{{i}_{{{p}_{2}}}}\]will be
  A)
   \[1:2\]             
  done clear
  B)
   \[2:1\]
  done clear
  C)
   \[1:2\sqrt{2}\]           
  done clear
  D)
   \[2\sqrt{2}:1\]
  done clear
  View Answer play_arrow

• question_answer60) At any instant the ratio of the amount of radioactive substances is 2:1. If their half lives be respectively 12 and 16 hours, then after two days, what will be the ratio of the substances?
  A)
   4 : 1             
  done clear
  B)
   2 : 1
  done clear
  C)
   1 : 2             
  done clear
  D)
   1 : 4
  done clear
  View Answer play_arrow

• question_answer61) Moseley's law is
  A)
   \[v={{a}^{2}}(Z-b)\]
  done clear
  B)
   \[v=\frac{a}{(Z-b)}\]
  done clear
  C)
   \[v={{a}^{2}}{{(Z-b)}^{2}}\]
  done clear
  D)
   \[v=a\sqrt{(Z-b)}\]
  done clear
  View Answer play_arrow

• question_answer62) Two bulbs of wattage 25 and 100 respectively are connected in series, which bulbs will fuse?
  A)
   25 W bulb
  done clear
  B)
   100 W bulb
  done clear
  C)
   Both [a] and [b]  
  done clear
  D)
   None of them
  done clear
  View Answer play_arrow

• question_answer63) The hardness of X-rays by coolidge tube depends upon
  A)
   filament current
  done clear
  B)
   air pressure in tube
  done clear
  C)
   material of target
  done clear
  D)
   potential between target and cathode
  done clear
  View Answer play_arrow

• question_answer64) In the circuit shown below, what will be the readings of the voltmeter and ammeter?
  A)
   800 V, 2A       
  done clear
  B)
   300 V, 2A
  done clear
  C)
   220V, 2.2 A     
  done clear
  D)
   100V, 2A
  done clear
  View Answer play_arrow

• question_answer65) If the pressure of an ideal gas contained in a closed vessel is increased by 0.4%, the increases in temperature is\[1{}^\circ C\]. The initial temperature of the gas is
  A)
   \[25{}^\circ C\]             
  done clear
  B)
   \[250{}^\circ C\]
  done clear
  C)
   250 K           
  done clear
  D)
   \[2500{}^\circ C\]
  done clear
  View Answer play_arrow

• question_answer66) If a van der Waal's gas expands freely, then final temperature is
  A)
   less than the initial temperature
  done clear
  B)
   equal to the initial temperature
  done clear
  C)
   more than the initial temperature
  done clear
  D)
   less or more than the initial temperature depending on the nature of the gas
  done clear
  View Answer play_arrow

• question_answer67) The required mechanical work to increase in per unit surface area of liquid is called surface tension of the liquid. When liquid is in
  A)
   isothermal condition
  done clear
  B)
   isobaric condition
  done clear
  C)
   isochoric condition
  done clear
  D)
   adiabatic condition
  done clear
  View Answer play_arrow

• question_answer68) A person will get more quantity of matter in 1 kg-wt at
  A)
   poles             
  done clear
  B)
   moon
  done clear
  C)
   equator          
  done clear
  D)
   satellite
  done clear
  View Answer play_arrow

• question_answer69) A sphere of mass m moving with a constant velocity u hits another stationary sphere of the same mass. Ife is the coefficient of restitution, then the ratio of the velocity of two spheres after collision will be
  A)
   \[\frac{1-e}{1+e}\]
  done clear
  B)
   \[\frac{e-1}{e+1}\]
  done clear
  C)
   \[\frac{1+e}{1-e}\]
  done clear
  D)
   \[\frac{e+1}{e-1}\]
  done clear
  View Answer play_arrow

• question_answer70) The moment of inertia of anybody about an its axis is equal to moment of inertia about its perpendicular axis, body is
  A)
   disc             
  done clear
  B)
   solid cylinder
  done clear
  C)
   ring             
  done clear
  D)
   spherical shell
  done clear
  View Answer play_arrow

• question_answer71) A clocks is based on oscillation of a spring and a clock P is based on pendulum motion. Both clocks run at the same rate on earth. On a planet having the same density as earth but twice the radius
  A)
   S will run faster than P
  done clear
  B)
   P will run faster than S
  done clear
  C)
   They will both run at the same rate as on the earth
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer72) The angular speed of minute needle in a watch
  A)
   \[\frac{\pi }{21600}rad/s\]
  done clear
  B)
   \[\frac{\pi }{12}rad/s\]
  done clear
  C)
   \[\frac{\pi }{3600}rad/s\]
  done clear
  D)
   \[\frac{\pi }{1800}rad/s\]
  done clear
  View Answer play_arrow

• question_answer73) A body is rolling without slipping on a horizontal surface and its rotational kinetic energy is equal to the translational kinetic energy. The body is
  A)
   disc              
  done clear
  B)
   sphere
  done clear
  C)
   cylinder         
  done clear
  D)
   ring
  done clear
  View Answer play_arrow

• question_answer74) An inelastic ball is dropped from a height of 100 m. Due to collision with earth, 20% of its energy is lost. To what height the ball will rise?
  A)
   80 m            
  done clear
  B)
   40 m
  done clear
  C)
   60 m            
  done clear
  D)
   20 m
  done clear
  View Answer play_arrow

• question_answer75) If two soap bubbles of equal radii R coalesce then the radius of curvature of interface between two bubbles will be
  A)
   infinity          
  done clear
  B)
   R
  done clear
  C)
   R/2                
  done clear
  D)
   zero
  done clear
  View Answer play_arrow

• question_answer76) In the two vessels of same volume, atomic hydrogen and helium at pressures 1 atm and 2 atm are filled. If temperature of both the samples is same, then average speed of hydrogen atoms \[<{{c}_{H}}>\]will be related to that of helium\[<{{c}_{He}}>\]as
  A)
   \[<{{c}_{H}}>=\sqrt{2}~<{{c}_{He}}>\]
  done clear
  B)
   \[<{{c}_{H}}>=<{{c}_{He}}>\]
  done clear
  C)
   \[<{{c}_{H}}>=2<{{c}_{He}}>\]
  done clear
  D)
   \[<{{c}_{H}}>=\frac{<{{c}_{He}}>}{2}\]
  done clear
  View Answer play_arrow

• question_answer77) Presence of the atmosphere at any planet means
  A)
   \[{{V}_{rms}}<<{{v}_{e}}\]
  done clear
  B)
   \[{{V}_{rms}}>{{v}_{e}}\]
  done clear
  C)
   the mass and density of planet is less
  done clear
  D)
   \[{{V}_{rms}}=0\]
  done clear
  View Answer play_arrow

• question_answer78) An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth , gently drops a pen out of space ship. The pen will  
  A)
   move towards the moon
  done clear
  B)
   fall vertically down to the earth
  done clear
  C)
   move along with space-ship
  done clear
  D)
   move opposite direction of space-ship
  done clear
  View Answer play_arrow

• question_answer79) An amplitude of motion represent by displacement equation \[y=\frac{1}{\sqrt{a}}\sin \,\omega t\pm \frac{1}{\sqrt{b}}\,\cos \,\omega t,\]
  A)
   \[\frac{a+b}{ab}\]
  done clear
  B)
   \[\frac{\sqrt{a}+\sqrt{b}}{ab}\]
  done clear
  C)
   \[\frac{\sqrt{a}\pm \sqrt{b}}{ab}\]
  done clear
  D)
   \[\sqrt{\frac{a+b}{ab}}\]
  done clear
  View Answer play_arrow

• question_answer80) In sky, a liquid is heated in weightlessness, the heat is transmitted through
  A)
   conduction
  done clear
  B)
   convection
  done clear
  C)
   radiation
  done clear
  D)
   Neither, because the liquid cannot be heated in weightlessness
  done clear
  View Answer play_arrow

• question_answer81) In Young's double slit experiment the type of diffraction is
  A)
   Fresnel          
  done clear
  B)
   Fraunhoffer
  done clear
  C)
   Both [a] and [b]   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer82) Positive rays are beam of
  A)
   Positrons         
  done clear
  B)
   Protons
  done clear
  C)
  \[\alpha -\]particles       
  done clear
  D)
   Positive-ions
  done clear
  View Answer play_arrow

• question_answer83) Which one is the minimum inresonancing position of series L-C-R circuit?
  A)
   Current         
  done clear
  B)
   Impedence
  done clear
  C)
   Reactance       
  done clear
  D)
   Power factor
  done clear
  View Answer play_arrow

• question_answer84) Which of the following curves correctly represents the variation of capacitive reactance\[{{X}_{C}}\]with frequency of
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer85) The curve\[{{v}_{m}}T\] for a ideal black body is
  A)
   A
  done clear
  B)
   B
  done clear
  C)
   C
  done clear
  D)
   D
  done clear
  View Answer play_arrow

• question_answer86) If light to be polarized by reflection then the angle between reflected and refracted rays is
  A)
   \[\pi \]                 
  done clear
  B)
   \[\pi /2\]
  done clear
  C)
   \[2\pi \]                 
  done clear
  D)
  \[\pi /4\]
  done clear
  View Answer play_arrow

• question_answer87) During mean life of a radioactive element, the fraction that disintegrates is
  A)
   \[e\]
  done clear
  B)
   \[\frac{1}{e}\]
  done clear
  C)
   \[\frac{e-1}{e}\]
  done clear
  D)
   \[\frac{e}{e-1}\]
  done clear
  View Answer play_arrow

• question_answer88) The order of wavelength of X-rays are
  A)
   \[{{10}^{-10}}m\]         
  done clear
  B)
   \[{{10}^{-10}}cm\]
  done clear
  C)
   \[{{10}^{10}}m\]           
  done clear
  D)
   \[{{10}^{10}}cm\]
  done clear
  View Answer play_arrow

• question_answer89) The alternating currents respectively are \[{{I}_{1}}={{I}_{0}}\] and   and\[{{I}_{2}}={{I}_{0}}\]\[\cos (\omega +\phi ).\]of its root mean square is
  A)
   1 : 1            
  done clear
  B)
   1 : \[\phi \]
  done clear
  C)
   1 : 2             
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer90) What will be the percentage of radioactive material after 5 half- life?
  A)
   31%              
  done clear
  B)
   3.125%
  done clear
  C)
   0.3%             
  done clear
  D)
   1%
  done clear
  View Answer play_arrow

• question_answer91) A star of velocity \[{{10}^{6}}m/s\] is going away from earth. If the wavelength of its spectrum line is 5700 \[\overset{o}{\mathop{\text{A}}}\,\], Dopper displacement will be
  A)
   200\[\overset{o}{\mathop{\text{A}}}\,\]          
  done clear
  B)
   19\[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  C)
   20 \[\overset{o}{\mathop{\text{A}}}\,\]           
  done clear
  D)
   0.2 \[\overset{o}{\mathop{\text{A}}}\,\]
  done clear
  View Answer play_arrow

• question_answer92) If x = \[\alpha \]sin \[\left( \omega t+\frac{\pi }{6} \right)\]and\[x'=\alpha \,cos\omega t,\]then the resultant phase difference between both will be
  A)
   \[\pi /3\]               
  done clear
  B)
   \[\pi /6\]
  done clear
  C)
   \[\pi /2\]           
  done clear
  D)
   \[\pi \]
  done clear
  View Answer play_arrow

• question_answer93) A rocket is moving towards the moon with velocity v. Rocket captain sends the electro- magnetic signal of frequency v towards the moon. After reflection from moon, captain receive the signal, the change of apparent frequency will be
  A)
   \[\frac{cv}{c-v}\]
  done clear
  B)
   \[\frac{cv}{c-2v}\]
  done clear
  C)
   \[\frac{2vv}{c}\]
  done clear
  D)
   \[\frac{2cv}{v}\]
  done clear
  View Answer play_arrow

• question_answer94) The displacement of interference waves respectively are\[{{y}_{1}}=4sin\]\[\omega t\]and \[{{y}_{2}}=3\,\sin \left( \omega t+\frac{\pi }{2} \right).\] The amplitude of resultant wave will be
  A)
   5                   
  done clear
  B)
   7
  done clear
  C)
   1                  
  done clear
  D)
   zero
  done clear
  View Answer play_arrow

• question_answer95) An iron rod of length L and magnetic moment M is bent in form of a semicircle. Now its magnetic moment will be
  A)
   \[\frac{2M}{\pi }\]
  done clear
  B)
   \[\frac{M}{\pi }\]
  done clear
  C)
   \[M\]
  done clear
  D)
   \[M\pi \]
  done clear
  View Answer play_arrow

• question_answer96) A light wave of speed v is incidence on plane surface, after reflection its speed will be
  A)
   v                 
  done clear
  B)
   \[v/2\]
  done clear
  C)
   \[v/3\]               
  done clear
  D)
   \[v/4\]
  done clear
  View Answer play_arrow

• question_answer97) General isotope in treatment of cancer is
  A)
   \[{{K}^{40}}\]             
  done clear
  B)
   \[C{{o}^{60}}\]
  done clear
  C)
   \[S{{r}^{70}}\]             
  done clear
  D)
   \[{{I}^{131}}\]
  done clear
  View Answer play_arrow

• question_answer98) 1 volt is equal to
  A)
   1 eV
  done clear
  B)
   \[\frac{Joule}{Coulomb}\]
  done clear
  C)
   \[Joule\,\times \,Coulomb\]
  done clear
  D)
   \[\frac{Erg}{Coulomb}\]
  done clear
  View Answer play_arrow

• question_answer99) If the distance between a point light source and screen is decrease one-third, then the relation between intensity of light \[\left( I \right)\] and initial light\[({{I}_{0}})\] will be
  A)
   \[I=\frac{{{I}_{0}}}{3}\]
  done clear
  B)
   \[I=\frac{{{I}_{0}}}{9}\]
  done clear
  C)
   \[I={{I}_{0}}\]
  done clear
  D)
   \[I=9{{I}_{0}}\]
  done clear
  View Answer play_arrow

• question_answer100) Two siren situated one kilometer apart are producing sound of frequency 330 Hz. An observer starts moving from one siren to the other with a speed of 2 m/s. If the speed of sound be 330 m/s, what will be the beat frequency heard by the observer?
  A)
   8               
  done clear
  B)
   4
  done clear
  C)
   6               
  done clear
  D)
   1 
  done clear
  View Answer play_arrow

• question_answer101) The central atom of which molecule has different hybridization from the following similar structure molecules?
  A)
   \[C{{l}_{2}}O\]
  done clear
  B)
   \[O{{F}_{2}}\]
  done clear
  C)
   \[{{H}_{2}}O\]
  done clear
  D)
   \[S{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer102) The solubility product of calcium sulphate is\[1\times {{10}^{-10}}\]. What will be the concentration of calcium ions in its saturated solution?
  A)
   \[1\times {{10}^{5}}\]           
  done clear
  B)
   \[1\times {{10}^{-10}}\]
  done clear
  C)
   \[1\times {{10}^{-5}}\]          
  done clear
  D)
   \[1\times {{10}^{-10}}\]
  done clear
  View Answer play_arrow

• question_answer103) Hydrogen halide reacts with unsymmetrical alkene to form
  A)
   a primary alkyl halide
  done clear
  B)
   a gem dihalide
  done clear
  C)
   a primary or secondary alkyl halide
  done clear
  D)
   a secondary or tertiary alkyl halide
  done clear
  View Answer play_arrow

• question_answer104) Which of the following is not matching? [a] Methane nitrile HCN [b] Iso-butyric acid \[{{(C{{H}_{3}})}_{3}}C-COOH\] [c] Acetonitrile\[C{{H}_{3}}-C-N\] [d] Crotonic acid \[C{{H}_{3}}-CH=CH-COOH\]
  A)
   A and B        
  done clear
  B)
   A and C
  done clear
  C)
   A and D
  done clear
  D)
          B and C
  done clear
  View Answer play_arrow

• question_answer105) Which of the following is favourable condition for the formation of ammonia in equilibrium reaction \[{{N}_{2}}+3{{H}_{2}}2N{{H}_{3}}+22\,kcal?\]
  A)
   increase in pressure
  done clear
  B)
   increase in temperature
  done clear
  C)
   decrease in pressure
  done clear
  D)
   increase in the concentration of ammonia
  done clear
  View Answer play_arrow

• question_answer106) For the complete reduction of a molecule of \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\]the number of electrons are required
  A)
   3               
  done clear
  B)
   4
  done clear
  C)
   5               
  done clear
  D)
   6
  done clear
  View Answer play_arrow

• question_answer107) \[23.0g\]ethanol vapours are passed on hot alumina. If 50% change is completed then the quantity of organic product (molecular weight = 28) in gram will be
  A)
   14 g            
  done clear
  B)
   7.0 g
  done clear
  C)
   11 g            
  done clear
  D)
   11.5 g
  done clear
  View Answer play_arrow

• question_answer108) Which of the following pair has the same oxidation number of sulphur and chromium?
  A)
   \[SO_{3}^{2-},CrO_{4}^{2-}\]
  done clear
  B)
   \[S{{O}_{3}},CrO_{4}^{2-}\]
  done clear
  C)
   \[S{{O}_{2}},CrO_{4}^{2-}\]
  done clear
  D)
   \[S{{O}_{2}},C{{r}_{2}}O_{7}^{2-}\]
  done clear
  View Answer play_arrow

• question_answer109) Which of the following sodium acetate solution will show minimum pH?
  A)
   0.01 M          
  done clear
  B)
   0.001 M
  done clear
  C)
   0.0001 M        
  done clear
  D)
   0.1 M
  done clear
  View Answer play_arrow

• question_answer110) Which of the following is not matching?
  A)
   Isoprene \[C{{H}_{2}}=CH-CH=C{{H}_{2}}\]
  done clear
  B)
   Diacetoneamine
  done clear
  C)
   Pyrene  \[CC{{l}_{4}}\]
  done clear
  D)
   Chloretone \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\overset{\begin{smallmatrix}  C{{H}_{3}} \\  | \end{smallmatrix}}{\mathop{C}}}\,-CC{{l}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer111) Which is suitable for the test of primary amine?
  A)
   Chlorine
  done clear
  B)
   Acetyl chloride
  done clear
  C)
   Chloroform and alkali
  done clear
  D)
   Alkyl chloride
  done clear
  View Answer play_arrow

• question_answer112) The IUPAC name of \[HO{{H}_{2}}C-C{{H}_{2}}-CH-{{(C{{H}_{2}}OH)}_{2}}\]
  A)
   3-hydroxy methyl-1, 4-butane diol
  done clear
  B)
   2-hydroxy methyl-1, 4-butane diol
  done clear
  C)
   2-hydroxy methyl-4-hydroxy butanol
  done clear
  D)
   3-hydroxy methyl-4-hydroxy butanol
  done clear
  View Answer play_arrow

• question_answer113) Which reagent is used for distinguishing in methanol and ethanol?
  A)
   Schiff reagent    
  done clear
  B)
   Lucas reagent
  done clear
  C)
   \[{{I}_{2}}+NaOH\]       
  done clear
  D)
   Chromic acid
  done clear
  View Answer play_arrow

• question_answer114) Ethene and ethyne can be distinguished by the reaction of
  A)
   dil. alkaline \[KMn{{O}_{4}}\]
  done clear
  B)
   \[{{I}_{2}}\]and\[NaOH\]
  done clear
  C)
   ammoniacal \[C{{u}_{2}}C{{l}_{2}}\]
  done clear
  D)
   anhydrous\[ZnC{{l}_{2}}+\]cone.\[{{H}_{2}}S{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer115) The structure of\[PC{{l}_{5}}\]and number of o-bonds in it are
  A)
   square planar, 5
  done clear
  B)
   distorted tetrahedral, 4
  done clear
  C)
   trigonal bipyramidal, 5
  done clear
  D)
   trigonal pyramidal, 4
  done clear
  View Answer play_arrow

• question_answer116) Which compound has octane number 100?
  A)
   2, 2, 4-trimethyl pentane
  done clear
  B)
   iso-heptane
  done clear
  C)
   n-heptane
  done clear
  D)
   n-octane
  done clear
  View Answer play_arrow

• question_answer117) Which of the following gives haloform reaction?
  A)
   Acetaldehyde
  done clear
  B)
   Propionaldehyde
  done clear
  C)
   iso-butyraldehyde
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer118) A carbonyl compound [A] forms compound [B] on reaction with HCN. By the hydrolysis of compound [B], compound [C] is obtained. The compound [C] shows optical isomerism and give iodoform test. Compound [A], is
  A)
   formaldehyde    
  done clear
  B)
   acetaldehyde
  done clear
  C)
   acetone         
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer119) The percentage of nitrogen will be equal in oximes of which of the following compound pairs?
  A)
   Acetone and acetaldehyde
  done clear
  B)
   Acetone and propionaldehyde
  done clear
  C)
   Acetone and acraldehyde
  done clear
  D)
   Acetaldehyde and acraldehyde
  done clear
  View Answer play_arrow

• question_answer120) Benzene reacts with chlorine in the presence of UV-light to give
  A)
   chlorobenzene
  done clear
  B)
   hexachlorocyclohexane
  done clear
  C)
   hexachlorobenzene
  done clear
  D)
   1, 3, 5-trichlorobenzene
  done clear
  View Answer play_arrow

• question_answer121) Which of the following is not matching?
  A)
   Fool's gold                          \[Fe{{S}_{2}}\]
  done clear
  B)
   Philosopher's wool         \[ZnO\]
  done clear
  C)
   Calomel                             \[H{{g}_{2}}C{{l}_{2}}\]
  done clear
  D)
   Lunar caustic                  \[AgCl\]
  done clear
  View Answer play_arrow

• question_answer122) Match the list-I with list-II and choose the correct set from the sets, which are given below

  List-I	List-II
  [A] Number of sub-energy levels in a energy level	1. \[{{n}^{2}}\]
  [B] Number of orbitals in a sub-energy level	2. \[3d\]
  [C] Number of orbitals in a energy level	3. \[2l+1\]
  [D] \[n=3,l=2,\text{ }m=0\]	4. \[n\]

  A)
  Codes A-4      B-3      C-1      D-2
  done clear
  B)
  A-3     B-1      C-2      D-4
  done clear
  C)
  A- 1     B- 2     C-3      D-4
  done clear
  D)
  A- 3     B-4     C-1      D-2
  done clear
  View Answer play_arrow

• question_answer123) Which of the following compound is colourless and odourless?
  A)
   \[C{{H}_{3}}NC\]         
  done clear
  B)
   \[CH{{I}_{3}}\]
  done clear
  C)
   \[CHC{{l}_{3}}\]          
  done clear
  D)
   \[C{{F}_{2}}C{{l}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer124) Electron affinity is the characteristic of an
  A)
   isolated atom
  done clear
  B)
   combined atom
  done clear
  C)
   gaseous isolated atom in ground state
  done clear
  D)
   gaseous isolated atom in excited state
  done clear
  View Answer play_arrow

• question_answer125) The highest atomic number radioactive element in p-block element is
  A)
   \[Pb\]              
  done clear
  B)
   \[Te\]
  done clear
  C)
   \[Rn\]              
  done clear
  D)
   \[Po\]
  done clear
  View Answer play_arrow

• question_answer126) From the following ores, the set of sulphide and carbonate ores is

  I. Cinnabar

  II. Calamine

  III. Copper glance

  IV. Siderite

  V. Corundum

  VI. Magnatite

  A)
   I, III, V, VI       
  done clear
  B)
   I, II, III, IV
  done clear
  C)
   I, II, V, VI        
  done clear
  D)
   II, III, IV, V
  done clear
  View Answer play_arrow

• question_answer127) Which of the following statement is false?
  A)
   All methyl ketones give iodoform test
  done clear
  B)
   All secondary alcohols give iodoform test
  done clear
  C)
   Methanol forms from the catalytic oxidation of methane
  done clear
  D)
   Rate of esterification of alcohol \[1{}^\circ >2{}^\circ >3{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer128) Which of the following is correctly matched?
  A)
   Maximum electronegativity element\[-Cl\]
  done clear
  B)
   Number of d-electrons in chromium\[-6\]
  done clear
  C)
   Cation with pseudo inert gas structure\[-Z{{n}^{2+}}\]
  done clear
  D)
   Number of unpaired electrons in\[F{{e}^{3+}}\] ion-4
  done clear
  View Answer play_arrow

• question_answer129) Acetaldehyde changes to a sweet-smell liquid on reaction with aluminium ethoxide. This liquid is
  A)
   \[C{{H}_{3}}COO{{C}_{2}}{{H}_{5}}\]   
  done clear
  B)
   \[C{{H}_{3}}COOH\]
  done clear
  C)
   \[C{{H}_{3}}C{{H}_{2}}OH\]     
  done clear
  D)
   \[{{(C{{H}_{3}}O)}_{3}}Al\]
  done clear
  View Answer play_arrow

• question_answer130) Which of the following is obtained from the reaction of formaldehyde with dil. alkali?
  A)
   A polymer
  done clear
  B)
   Salt of formic acid
  done clear
  C)
   Methyl alcohol
  done clear
  D)
   Methyl alcohol and salt of formic acid
  done clear
  View Answer play_arrow

• question_answer131) Which of the following reagent releases nitrogen, on reaction with ethyl amine?
  A)
   Nitrosyi chloride 
  done clear
  B)
   Acetyl chloride
  done clear
  C)
   Carbon disulphide
  done clear
  D)
   Benzoyl chloride
  done clear
  View Answer play_arrow

• question_answer132) Which of the following is correctly matched? [a]\[{{C}_{6}}{{H}_{6}}\](Benzene) : All C-atom are\[s{{p}^{2}}\] hybridized [b]\[{{(C{{H}_{3}})}_{4}}C:\]All C-atom are\[s{{p}^{3}}\]hybridized [c]\[HC=C-CH=C{{H}_{2}}\]: Four C-atom are sp-hybridized [d] \[{{(C{{H}_{3}})}_{2}}C=C{{H}_{2}}\]: Three C-atom are\[s{{p}^{2}}\]hybridized
  A)
   A, B              
  done clear
  B)
   A, C
  done clear
  C)
   A, D              
  done clear
  D)
   B, C
  done clear
  View Answer play_arrow

• question_answer133) The equilibrium of aqueous solution of\[{{H}_{2}}S\]is as \[{{H}_{2}}S{{H}^{+}}+H{{S}^{-}}\] On adding\[HCl\]at equilibrium
  A)
   concentration of\[H{{S}^{-}}\]will increase
  done clear
  B)
   concentration of\[H{{S}^{-}}\]will decrease
  done clear
  C)
   dissociation of\[{{H}_{2}}S\]will increase
  done clear
  D)
   dissociation of\[{{H}_{2}}S\]will stop
  done clear
  View Answer play_arrow

• question_answer134) The density of ice is less than water because
  A)
   ice floats on water
  done clear
  B)
   the structure of ice is three dimensional with porous
  done clear
  C)
   H-bond does not present in ice
  done clear
  D)
   water is a polar solvent
  done clear
  View Answer play_arrow

• question_answer135) Which of the following is not correctly matched?
  A)
   \[CHC{{l}_{3}}+C{{H}_{3}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\xrightarrow[{}]{{}}\]a solvent
  done clear
  B)
   \[{{C}_{2}}{{H}_{5}}OH+CaOC{{l}_{2}}\xrightarrow[{}]{{}}\]a anaesthetic
  done clear
  C)
   \[C{{H}_{3}}COH+{{I}_{2}}+NaOH\xrightarrow[{}]{{}}\]a yellow colour precipitate
  done clear
  D)
   \[CHC{{l}_{3}}+HN{{O}_{3}}\xrightarrow[{}]{{}}\]a war gas
  done clear
  View Answer play_arrow

• question_answer136) Which of the following set is correctly matched?
  A)

  \[n=3,\]

  \[l=3,m=0,\]

  \[s=+\frac{1}{2}\]

  done clear
  B)

  \[n=3,\]

  \[l=2,m=-3,\]

  \[s=+\frac{1}{2}\]

  done clear
  C)

  \[n=3,\]

  \[l=3,m=-3,\]

  \[s=-\frac{1}{2}\]

  done clear
  D)

  \[n=3,\]

  \[l=2,m=-1,\]

  \[s=-\frac{1}{2}\]

  done clear
  View Answer play_arrow

• question_answer137) Which of the following is deposited as thin layer in galvanised iron?
  A)
   Aluminium      
  done clear
  B)
   Zinc
  done clear
  C)
   Tin              
  done clear
  D)
   White lead
  done clear
  View Answer play_arrow

• question_answer138) The value of energy will increase in sub-energy level
  A)
   on increasing the value of principal quantum number
  done clear
  B)
   on increasing the value of azimuthal quantum number
  done clear
  C)
   on increasing the value of both principal quantum number and azimuthal quantum number
  done clear
  D)
   on increasing the value of spin quantum Number
  done clear
  View Answer play_arrow

• question_answer139) The outermost structure of an atom A is\[n{{s}^{2}},n{{p}^{3}}\]. This compound does not form\[A{{F}_{5}}.\] Which of the following statement is false in the given reference?
  A)
   A is element of second period
  done clear
  B)
   d-electron is not in A
  done clear
  C)
   The value of n is less than three
  done clear
  D)
   A cannot form tetrahedral compound
  done clear
  View Answer play_arrow

• question_answer140) Which forms on the reaction of propyne with dil.\[{{H}_{2}}S{{O}_{4}}\] in the presence of mercuric ion?
  A)
   2-propanol       
  done clear
  B)
   Propanone
  done clear
  C)
   Propanal    
  done clear
  D)
   1, 2-propane diol
  done clear
  View Answer play_arrow

• question_answer141) Which alkene forms only ethanal on ozonolysis?
  A)
   1-butene         
  done clear
  B)
   2-butene
  done clear
  C)
   Propene         
  done clear
  D)
   iso-butylene
  done clear
  View Answer play_arrow

• question_answer142) Which of the following is correct order of radius?
  A)
   \[{{K}^{+}}>C{{a}^{2+}}>S{{c}^{3+}}<T{{i}^{4+}}\]
  done clear
  B)
   \[{{S}^{2-}}>C{{l}^{-}}>Ar<{{K}^{+}}\]
  done clear
  C)
   \[{{O}^{2-}}>{{F}^{-}}>Ne>N{{a}^{+}}>M{{g}^{2+}}\]
  done clear
  D)
   \[N{{a}^{+}}>M{{g}^{2+}}>Ne>A{{l}^{3+}}\]
  done clear
  View Answer play_arrow

• question_answer143)   The intermediates are formed in this reaction are
  A)
   phenoxide ion and dichlorocarbene
  done clear
  B)
   \[{{C}_{6}}{{H}_{5}}{{O}^{-}}\] and \[{}_{\bullet }^{\bullet }C{{l}_{2}}\]
  done clear
  C)
   \[{{C}_{6}}{{H}_{5}}{{O}^{-}}\] and \[{}_{\bullet }^{\bullet }CC{{l}_{3}}\]
  done clear
  D)
   \[{{C}_{6}}{{H}_{5}}{{O}^{-}}\] and \[{}_{\bullet }^{\bullet }CHCl\]
  done clear
  View Answer play_arrow

• question_answer144) The colour of methyl orange in basic medium is
  A)
   red              
  done clear
  B)
   colourless
  done clear
  C)
   yellow           
  done clear
  D)
   orange
  done clear
  View Answer play_arrow

• question_answer145) The stability order of carbonium ion is
  A)
   \[3{}^\circ >2{}^\circ >1{}^\circ >C{{H}_{3}}\]
  done clear
  B)
   \[3{}^\circ <2{}^\circ >1{}^\circ <C{{H}_{3}}\]
  done clear
  C)
   \[3{}^\circ <2{}^\circ >1{}^\circ >C{{H}_{3}}\]
  done clear
  D)
   \[3{}^\circ <2{}^\circ <1{}^\circ <C{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer146) The density of Na is higher than K because
  A)
   ionisation potential of Na is greater than K
  done clear
  B)
   size of Na is smaller than K
  done clear
  C)
   atomic weight of K is greater than Na
  done clear
  D)
   only eight electrons are present in third shell of K
  done clear
  View Answer play_arrow

• question_answer147) \[{{C}_{6}}{{H}_{5}}N{{O}_{2}}\xrightarrow[{}]{Zn/N{{H}_{4}}Cl}A\] Compound A, is
  A)
   phenyl hydroxyl amine
  done clear
  B)
   nitrosobenzene
  done clear
  C)
   azobenzene
  done clear
  D)
   p-aminophenol
  done clear
  View Answer play_arrow

• question_answer148) \[Ar-CON{{H}_{2}}\xrightarrow[{}]{B{{r}_{2}}+KOH}Ar-N{{H}_{2}}\] This reaction is
  A)
   Hofmann mustard oil reaction
  done clear
  B)
   Hofmann bromamide reaction
  done clear
  C)
   Hofmann martius rearrangement
  done clear
  D)
   Hofmann carbylamme reaction
  done clear
  View Answer play_arrow

• question_answer149) \[C{{H}_{3}}MgX+A\xrightarrow[{}]{{}}B\xrightarrow[{}]{{{H}_{3}}{{O}^{\oplus }}}C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}OH\] Compound A, in the above reaction is
  A)
   \[C{{H}_{3}}C{{H}_{2}}CHO\]    
  done clear
  B)
   \[C{{H}_{3}}CHO\]
  done clear
  C)
   \[{{(C{{H}_{2}})}_{2}}O\]        
  done clear
  D)
   \[{{(C{{H}_{3}})}_{2}}CO\]
  done clear
  View Answer play_arrow

• question_answer150) The same magnetic moment ions are
  A)
   \[C{{u}^{+}},F{{e}^{3+}}\]
  done clear
  B)
   \[M{{n}^{2+}},F{{e}^{3+}}\]
  done clear
  C)
   \[C{{u}^{2+}},F{{e}^{2+}}\]
  done clear
  D)
   \[M{{n}^{2+}},T{{i}^{2+}}\]
  done clear
  View Answer play_arrow

• question_answer151) Which of the following presents in sapphine?
  A)
   \[A{{l}_{2}}{{O}_{3}}\]           
  done clear
  B)
   \[A{{g}_{2}}O\]
  done clear
  C)
   \[C{{u}_{2}}O\]            
  done clear
  D)
   \[MnO\]
  done clear
  View Answer play_arrow

• question_answer152) The set of oxidation numbers of nitrogen in ammonium nitrate is
  A)
   \[-3,+3\]          
  done clear
  B)
   \[-1,+1\]
  done clear
  C)
   \[+1,-1\]          
  done clear
  D)
   \[-3,+5\]
  done clear
  View Answer play_arrow

• question_answer153) The formula of microcosmic salt is
  A)
   \[N{{a}_{2}}HP{{O}_{4}}.2{{H}_{2}}O\]
  done clear
  B)
   \[NaN{{H}_{4}}HP{{O}_{4}}.4{{H}_{2}}O\]
  done clear
  C)
   \[{{(N{{H}_{4}})}_{2}}HP{{O}_{4}}\]
  done clear
  D)
   \[N{{a}_{2}}N{{H}_{4}}P{{O}_{4}}.2{{H}_{2}}O\]
  done clear
  View Answer play_arrow

• question_answer154) Which of the following set is correct on the basis of following lists?            List-I                      List-II [A] \[N{{H}_{2}}CONHN{{O}_{2}}\]   1.   Biuret [B] \[{{({{C}_{6}}{{H}_{5}}NH)}_{2}}CO\]    2.  Semicarbazide [C] \[N{{H}_{2}}CONHN{{H}_{2}}\]   3.   Nitrourea [D] \[N{{H}_{2}}CONHCON{{H}_{2}}\] 4.  Diphenyl urea
  A)
  Codes    A-3       B-4       C-2      D-1
  done clear
  B)
     A-3      B-1       C-2      D-4
  done clear
  C)
     A- 3      B- 2       C-1      D-4
  done clear
  D)
    A-3      B- 1      C-4        D-2
  done clear
  View Answer play_arrow

• question_answer155) For equilibrium reaction,\[{{N}_{2}}+{{O}_{2}}2NO\]at definite temperature\[{{K}_{c}}=121\]. What will be the value of \[{{K}_{c}}\]for following equilibrium reaction \[NO\frac{1}{2}{{N}_{2}}+\frac{1}{2}{{O}_{2}}?\]
  A)
   \[11\]
  done clear
  B)
    \[\frac{1}{121}\]
  done clear
  C)
   \[\frac{1}{11}\]
  done clear
  D)
   \[121\]
  done clear
  View Answer play_arrow

• question_answer156) Molten\[NaCl\]conducts the electricity because it contains
  A)
   free atom         
  done clear
  B)
   free molecule
  done clear
  C)
   free ion          
  done clear
  D)
   free electron
  done clear
  View Answer play_arrow

• question_answer157) The vapour density of\[PC{{l}_{5}}\]at\[300{}^\circ C\]is 60. Its dissociation percentage will be at this temperature
  A)
   73              
  done clear
  B)
   77
  done clear
  C)
   83              
  done clear
  D)
   87
  done clear
  View Answer play_arrow

• question_answer158) Starch\[\xrightarrow[{}]{A}\]Maltose\[\xrightarrow[{}]{B}\] Glucose\[\xrightarrow[{}]{C}\] Ethyl alcohol In this reaction A, B, C are respectively
  A)
   Invertase, zymase, maltase
  done clear
  B)
   Diastase, maltase, zymase
  done clear
  C)
   Invertase, maltase, zymase
  done clear
  D)
   Zymase, maltase, invertase
  done clear
  View Answer play_arrow

• question_answer159) The pair of isoelectronic species is
  A)
   \[{{N}_{2}},CO\]          
  done clear
  B)
   \[CO_{3}^{2-},NO_{3}^{-}\]
  done clear
  C)
   \[NO_{3}^{-},HCO_{3}^{-}\]      
  done clear
  D)
   All of these
  done clear
  View Answer play_arrow

• question_answer160) Which alcohol gives blue colour in Victor Meyer's test?
  A)
   Butyl alcohol
  done clear
  B)
   iso-butyl alcohol
  done clear
  C)
   Secondary butyl alcohol
  done clear
  D)
   Tertiary butyl alcohol
  done clear
  View Answer play_arrow

• question_answer161) Which of the following functional groups set is deactivating and\[m-\]directing?
  A)
   \[-CN,~-N{{H}_{2}},\,-OH\]
  done clear
  B)
   \[-CHO,\,-OC{{H}_{3}},-S{{O}_{3}}H\]
  done clear
  C)
   \[-N{{O}_{2}},\,-CHO,\,-S{{O}_{3}}H\]
  done clear
  D)
   \[-Cl,~-C{{H}_{3}},\,-NHCOC{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer162) The melting point of\[SnC{{l}_{4}}\]is less than\[SnC{{l}_{2}}\] because in comparison of \[S{{n}^{2+}}\]
  A)
   the size of\[S{{n}^{4+}}\]is smaller
  done clear
  B)
   more positive charge on \[S{{n}^{4+}}\]
  done clear
  C)
   the ionization potential of\[S{{n}^{4+}}\]is more
  done clear
  D)
   the structure of\[SnC{{l}_{4}}\]is tetrahedral
  done clear
  View Answer play_arrow

• question_answer163) Phenol\[\xrightarrow[{}]{NaN{{O}_{2}}+conc.{{H}_{2}}S{{O}_{4}}}\]dark colour\[\xrightarrow[{}]{alkali}\]blue colour This reaction is called
  A)
   Lederer Mannasse reaction
  done clear
  B)
   Libermann nitroso reaction
  done clear
  C)
   Coupling reaction
  done clear
  D)
   Lucas test
  done clear
  View Answer play_arrow

• question_answer164) The atomic number of an element is 20. In which period of Periodic Table it will be placed?
  A)
   1               
  done clear
  B)
   2
  done clear
  C)
   3               
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer165) For the dissociation of formic acid, acetic acid and carbonic acid the value of\[p{{K}_{a}}\]is 3.62, 4.74 and 6.3 respectively. Which of the following statement is correct?
  A)
   Formic acid is the strongest acid
  done clear
  B)
   Acetic acid is the weakest acid
  done clear
  C)
   Carbonic acid is the strongest acid
  done clear
  D)
   Acetic acid is weaker than carbonic acid
  done clear
  View Answer play_arrow

• question_answer166) Which of the following acid does not contain \[-COOH\] group?
  A)
   Lactic acid       
  done clear
  B)
   Barbituric acid
  done clear
  C)
   Succinic acid    
  done clear
  D)
   Carbonic acid
  done clear
  View Answer play_arrow

• question_answer167) Which of the following statement is false?
  A)
   Electron absorbs energy on transition from lower energy level to higher energy level.
  done clear
  B)
   Electron cannot fall in nucleus from third energy level.
  done clear
  C)
   Electron emits energy on transition from higher energy level to lower energy level.
  done clear
  D)
   Electron emits energy spontaneously in its ground state.
  done clear
  View Answer play_arrow

• question_answer168) For the hydrolysis reaction \[C{{N}^{-}}+{{H}_{2}}OHCN+O{{H}^{-}}\] Which of the following relationship is not applicable?
  A)
   \[{{K}_{h}}=\frac{{{K}_{w}}}{\sqrt{{{K}_{a}}(HCN)}}\]
  done clear
  B)
   \[h=\sqrt{\frac{{{K}_{h}}}{C}}\]
  done clear
  C)
   \[pH=\frac{1}{2}p{{K}_{a}}(HCN)\]
  done clear
  D)
   \[{{H}^{+}}=\sqrt{\frac{{{K}_{w}}\times {{K}_{a}}}{C}}\]
  done clear
  View Answer play_arrow

• question_answer169) Match the given molecule in list-I with given structure in list-II and choose the correct set from the given sets.

  List-I	List-II
  [A] \[A{{X}_{3}}{{E}_{2}}\]	1. Trigonal pyramidal
  [B]  \[A{{X}_{5}}\]	2. T-structure
  [C] \[A{{X}_{2}}{{E}_{2}}\]	3. Trigonal bipyramidal
  [D] \[A{{X}_{3}}E\]	4. Angular

  (A = Central atom and E = number of lone pairs electrons) Codes
  A)
      A-2       B- 3       C-4       D- 1
  done clear
  B)
     A-1      B-2      C-3      D-4
  done clear
  C)
      A-3       B-1      C-2       D-4
  done clear
  D)
     A-4      B-3      C-1      D-2
  done clear
  View Answer play_arrow

• question_answer170) The degree of dissociation of A is a in equilibrium reaction,\[A2B+C\]. If initially one mole of A is taken then the total number of moles at equilibrium will be
  A)
   \[1-\alpha \]            
  done clear
  B)
   \[1+\alpha \]
  done clear
  C)
   \[1-2\alpha \]           
  done clear
  D)
   \[1+2\alpha \]
  done clear
  View Answer play_arrow

• question_answer171) Which of the following has zero dipole moment?
  A)
   \[N{{H}_{3}}\]           
  done clear
  B)
   \[S{{O}_{2}}\]
  done clear
  C)
   \[C{{O}_{2}}\]            
  done clear
  D)
   \[{{H}_{2}}{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer172) Carbon tetrachloride is used as
  A)
   anaesthetic and disinfectant
  done clear
  B)
   coolant and fire extinguisher
  done clear
  C)
   industrial solvent and fire extinguisher
  done clear
  D)
   antibiotic and industrial solvent
  done clear
  View Answer play_arrow

• question_answer173) \[A+B\xrightarrow[{}]{\Delta }HCOOH\xrightarrow[{}]{{{H}_{2}}S{{O}_{4}}/\Delta }C+D\] A, B, C and D are respectively
  A)
   \[CO,{{H}_{2}}O,CO,{{H}_{2}}O\]
  done clear
  B)
   \[CO,{{H}_{2}}O,C{{O}_{2}},{{H}_{2}}\]
  done clear
  C)
   \[C{{O}_{2}},{{H}_{2}}O,C{{O}_{2}},{{H}_{2}}\]
  done clear
  D)
   \[C{{O}_{2}},{{H}_{2}}O,CO,{{H}_{2}}O\]
  done clear
  View Answer play_arrow

• question_answer174) In the reaction \[H{{C}_{2}}O_{4}^{-}+PO_{4}^{3-}HPO_{4}^{2-}+{{C}_{2}}O_{4}^{2-}.\]Bronsted base is
  A)
   \[PO_{4}^{3-},{{C}_{2}}O_{4}^{2-}\]
  done clear
  B)
   \[PO_{4}^{3-},HPO_{4}^{2-}\]
  done clear
  C)
   \[H{{C}_{2}}O_{4}^{-},HPO_{4}^{2-}\]
  done clear
  D)
   \[H{{C}_{2}}O_{4}^{-},{{C}_{2}}O_{4}^{2-}\]
  done clear
  View Answer play_arrow

• question_answer175) Phenol on heating with phthalic anhydride and cone.\[{{H}_{2}}S{{O}_{4}}\]gets converted to
  A)
   phenolphthalein
  done clear
  B)
   phenetol
  done clear
  C)
   pinacol
  done clear
  D)
   o-hydroxy benzoic acid
  done clear
  View Answer play_arrow

• question_answer176) Which of the following compound forms mesitylene on distillation with cone.\[{{H}_{2}}S{{O}_{4}}\]?
  A)
   Acetaldehyde    
  done clear
  B)
   Acetone
  done clear
  C)
   Acetophenol     
  done clear
  D)
   Acetyl chloride
  done clear
  View Answer play_arrow

• question_answer177) The structure of tetrafluoroborate
  A)
   tetrahedral       
  done clear
  B)
   square planar
  done clear
  C)
   octahedral       
  done clear
  D)
   trigonal planar
  done clear
  View Answer play_arrow

• question_answer178) Arrange the following acids in decreasing order of their\[p{{K}_{a}}\]values

  Formic acid (I)

  Acetic acid (II)

  Chloro acetic acid (III)

  Trichloro acetic acid (IV)

  A)
   IV, III, II, I        
  done clear
  B)
   II, I, IV, III
  done clear
  C)
   II, I, III, IV        
  done clear
  D)
   I, II, IV, III
  done clear
  View Answer play_arrow

• question_answer179) The degree of dissociation of a weak carbonic acid of 0.1 M solution is 10%. The value of dissociation constant of this acid will
  A)
   \[{{10}^{-5}}\]             
  done clear
  B)
   \[{{10}^{-4}}\]
  done clear
  C)
   \[{{10}^{-3}}\]             
  done clear
  D)
   \[{{10}^{-2}}\]
  done clear
  View Answer play_arrow

• question_answer180) The structure of some complex ions is given in the following list. A. \[{{[Ni{{(CN)}_{4}}]}^{2-}}\]   : square planar B. \[{{[Ag{{(N{{H}_{3}})}_{2}}]}^{+}}\] : linear C. \[{{[Fe{{(CN)}_{6}}]}^{4-}}\]   : octahedral D. \[{{[Cu{{(N{{H}_{3}})}_{4}}]}^{2+}}\]: tetrahedral Which of the above is not matched?
  A)
   A               
  done clear
  B)
   B
  done clear
  C)
   C                
  done clear
  D)
   D
  done clear
  View Answer play_arrow

• question_answer181) The correct set of number of lattice points present in unit cell of a body centred cubic structure and a face centred cubic structure
  A)
   2, 4              
  done clear
  B)
   4, 2
  done clear
  C)
   4, 6              
  done clear
  D)
   2, 6
  done clear
  View Answer play_arrow

• question_answer182) The solubility product of two sparingly soluble electrolyte AX and BX are\[1\times {{10}^{-8}}\]and\[1\times {{10}^{-10}}\] respectively. Which of the following statement is correct?
  A)
   Solubility of AX is 100 times more than BX.
  done clear
  B)
   Solubility of BX is 100 times more than AX.
  done clear
  C)
   Solubility of AX is 10 times more than BX.
  done clear
  D)
   Comparison of solubility cannot done from these data
  done clear
  View Answer play_arrow

• question_answer183) Which of following are correct matched? [a] Position isomer of isopropyi alcohol \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{CH}}\,-C{{H}_{3}}\] [b] Functional isomer of 1-butadiene \[C{{H}_{3}}-C\equiv C-C{{H}_{3}}\] [c] Position isomer of ethylidene chloride \[Cl-C{{H}_{2}}-C{{H}_{2}}-Cl\] [d] Metamer of ethyl acetate \[H-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-O-C{{H}_{2}}-C{{H}_{2}}C{{H}_{3}}\]
  A)
   A, B            
  done clear
  B)
   B, C
  done clear
  C)
   C, D
  done clear
  D)
   A, D
  done clear
  View Answer play_arrow

• question_answer184) Generally, alkenes and alkynes show the following type of reaction
  A)
   nucleophilic addition
  done clear
  B)
   electrophilic addition
  done clear
  C)
   free radical substitution
  done clear
  D)
   electrophilic substitution
  done clear
  View Answer play_arrow

• question_answer185) Ethyl acetate reacts with hydrazine to give
  A)
   \[C{{H}_{3}}COONH-N{{H}_{2}}\]
  done clear
  B)
   \[C{{H}_{2}}COHN-NHCOC{{H}_{3}}\]
  done clear
  C)
   \[C{{H}_{3}}CONH-N{{H}_{2}}\]
  done clear
  D)
   \[C{{H}_{3}}CON{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer186) The hydrolysis product of which compound form sodium bisulphite addition product but does not give silver mirror with Tollen's reagent?
  A)
   \[Cl-C{{H}_{2}}C{{H}_{2}}Cl\]  
  done clear
  B)
   \[C{{H}_{3}}C{{H}_{2}}CHC{{l}_{2}}\]
  done clear
  C)
   \[C{{H}_{3}}C(C{{l}_{2}})C{{H}_{3}}\]   
  done clear
  D)
   \[C{{H}_{2}}C{{l}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer187) Which of the following reaction is different from other reaction?
  A)
   \[2H{{g}^{2+}}\xrightarrow[{}]{{}}Hg_{2}^{2+}\]
  done clear
  B)
   \[Mg\xrightarrow[{}]{{}}M{{g}^{2+}}\]
  done clear
  C)
   \[2{{I}^{-}}\xrightarrow[{}]{{}}{{I}_{2}}\]
  done clear
  D)
   \[Cu_{2}^{2+}\xrightarrow[{}]{{}}2C{{u}^{2+}}\]
  done clear
  View Answer play_arrow

• question_answer188) The IUPAC name of \[C{{H}_{3}}-C{{H}_{2}}-\underset{\begin{smallmatrix}  | \\  C{{H}_{3}} \end{smallmatrix}}{\mathop{CH}}\,-\underset{\begin{smallmatrix}  | \\  {{C}_{2}}{{H}_{5}} \end{smallmatrix}}{\mathop{CH}}\,-{{C}_{2}}{{H}_{5}}\]is
  A)
   3-ethyl-4-methyl hexane
  done clear
  B)
   3-methyl-4-ethyl hexane
  done clear
  C)
   3-ethyl-l, 2-dimethyl pentane
  done clear
  D)
   3-ethyl-4, 5-dimethyl pentane
  done clear
  View Answer play_arrow

• question_answer189) Which of the following statement is false?
  A)
  \[\alpha -\]butylene and isobutylene are chain isomers.
  done clear
  B)
   n-propyi alcohol and isopropyi alcohol are not position isomers.
  done clear
  C)
   Equal molecular weight alcohol and ether are functional isomers.
  done clear
  D)
   1-alkyne does not show geometrical isomerism.
  done clear
  View Answer play_arrow

• question_answer190) After calcination, metal is obtained in the form of
  A)
   oxide            
  done clear
  B)
   hydrated oxide
  done clear
  C)
   sulphide         
  done clear
  D)
   carbonate
  done clear
  View Answer play_arrow

• question_answer191) The reaction of ether with cold HI is called
  A)
   Williamson's synthesis
  done clear
  B)
   Zeravitinof method
  done clear
  C)
   Zeisel method
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer192) Which gas is evolved on heating acetamide with aqueous alkali?
  A)
   \[N{{H}_{3}}\]             
  done clear
  B)
   \[{{N}_{2}}\]
  done clear
  C)
   \[C{{O}_{2}}\]             
  done clear
  D)
   \[NO\]
  done clear
  View Answer play_arrow

• question_answer193) Which of the following is not a polymer?
  A)
   Teflon          
  done clear
  B)
   Nylon
  done clear
  C)
   Orion           
  done clear
  D)
   Phorone
  done clear
  View Answer play_arrow

• question_answer194) \[PC{{l}_{5}}PC{{l}_{3}}+C{{l}_{2}}\] In this reaction, degree of dissociation of \[PC{{l}_{5}}\]is proportional to
  A)
   \[\sqrt{p}\]
  done clear
  B)
   \[\frac{1}{\sqrt{p}}\]
  done clear
  C)
   \[{{p}^{2}}\]
  done clear
  D)
   \[p\]
  done clear
  View Answer play_arrow

• question_answer195) Vinegar is
  A)
   10% formic acid
  done clear
  B)
   8-10% acetic acid
  done clear
  C)
   6-10% ethyl alcohol
  done clear
  D)
   glacial acetic acid
  done clear
  View Answer play_arrow

• question_answer196) Water gas is a mixture of
  A)
   1 mole CO + 1 mole water vapour
  done clear
  B)
   1 mole CO + 2 mole\[{{H}_{2}}\]
  done clear
  C)
   2 mole CO + 1 mole\[{{H}_{2}}\]
  done clear
  D)
   1 mole CO + 1 mole\[{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer197) Aniline reacts with cone.\[{{H}_{2}}S{{O}_{4}}\]at\[150{}^\circ C\]to form
  A)
   sulphanilic acid
  done clear
  B)
   sulphonic acid
  done clear
  C)
   o-amino sulphonic acid
  done clear
  D)
   aniline sulphate
  done clear
  View Answer play_arrow

• question_answer198) The pH value of\[{{10}^{-8}}N\,HCl\]is
  A)
   less than 7
  done clear
  B)
   more than 7 but less than 8
  done clear
  C)
   8
  done clear
  D)
   7
  done clear
  View Answer play_arrow

• question_answer199) The formula of wavelength of spectral lines for hydrogen atom is
  A)
   \[\frac{1}{\lambda }=R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\]
  done clear
  B)
   \[\frac{1}{\lambda }=R\left( \frac{1}{n_{2}^{2}}-\frac{1}{n_{1}^{2}} \right)\]
  done clear
  C)
   \[\frac{1}{\lambda }=R{{\left( \frac{1}{{{n}_{1}}}-\frac{1}{{{n}_{2}}} \right)}^{2}}\]
  done clear
  D)
   \[\frac{1}{\lambda }=R{{\left( \frac{1}{{{n}_{2}}}-\frac{1}{{{n}_{1}}} \right)}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer200) The relationship between the solubility and solubility product is
  A)
   \[{{K}_{sp}}={{x}^{x}}{{y}^{y}}{{x}^{x+y}}\]
  done clear
  B)
   \[{{K}_{sp}}={{s}^{x+y}}\]
  done clear
  C)
   \[{{K}_{sp}}={{x}^{x}}{{y}^{y}}{{s}^{x-y}}\]
  done clear
  D)
  \[{{K}_{sp}}={{x}^{2}}{{y}^{2}}{{s}^{x+y}}\]
  done clear
  View Answer play_arrow

• question_answer201) The distance between the lines\[7x+24y+3=0\] and\[7x+24y+28=0\]is
  A)
   1 unit            
  done clear
  B)
  \[1\frac{6}{25}\]units
  done clear
  C)
   25 units 
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer202) The imaginary part of\[sin\text{ }h(x+iy)\]is
  A)
  \[cos\text{ }x\text{ }sinh\text{ }y\]      
  done clear
  B)
   \[-cosh\text{ }x\text{ }sin\text{ }y\]
  done clear
  C)
   \[cosh\text{ }x\text{ }sin\text{ }y\]      
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer203) \[{{\left( \frac{1+\sin \theta +i\cos \theta }{1+\sin \theta -i\cos \theta } \right)}^{n}}\]is equal to
  A)
   \[\cos n\left( \frac{\pi }{2}-\theta  \right)+i\sin n\left( \frac{\pi }{2}-\theta  \right)\]
  done clear
  B)
   \[\cos n\left( \frac{\pi }{2}-\theta  \right)-i\sin n\left( \frac{\pi }{2}-\theta  \right)\]
  done clear
  C)
   \[\cos n\theta +i\sin n\theta \]
  done clear
  D)
   \[\sin n\theta +i\cos n\theta \]
  done clear
  View Answer play_arrow

• question_answer204) \[\tanh (x+y)\]is equal to
  A)
   \[\frac{\tanh x+\tanh y}{1-\tanh x\tan y}\]
  done clear
  B)
   \[\frac{\tanh x+\tanh y}{1+\tanh x\tan y}\]
  done clear
  C)
   \[\frac{\tanh x-\tanh y}{1-\tanh x\tan y}\]
  done clear
  D)
   \[\frac{\tanh x-\tanh y}{1+\tanh x\tan y}\]
  done clear
  View Answer play_arrow

• question_answer205) The value of\[sinh\text{ }3x\]is
  A)
   \[3\text{ }sinh\text{ }x-4sin\,{{h}^{3}}x\]
  done clear
  B)
   \[3\text{ }sinh\text{ }x+4sin\,{{h}^{3}}x\]
  done clear
  C)
   \[4sin\,{{h}^{3}}x-3\text{ }sinh\text{ }x\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer206) Line\[x+2y-8=0\]is the perpendicular bisector of line AB and point B is (3, 5), then coordinates of A are
  A)
   (2, 2)             
  done clear
  B)
   (2, 1)
  done clear
  C)
   (1, 1)             
  done clear
  D)
   (1, 2)
  done clear
  View Answer play_arrow

• question_answer207) The points A (8,5),\[B(-7,-5)\]and\[C(-5,5)\]are the vertices of a parallelogram, then its fourth vertex is
  A)
   (15, 10)          
  done clear
  B)
   \[\left( \frac{3}{2},5 \right)\]
  done clear
  C)
   (10, 15)           
  done clear
  D)
   \[(-4,\text{ }5)\]
  done clear
  View Answer play_arrow

• question_answer208) \[\frac{{{(\cos \theta +i\sin \theta )}^{5}}}{{{(\sin \theta +i\cos \theta )}^{7}}}\]is equal to
  A)
   \[\sin 12\theta -i\cos 12\theta \]
  done clear
  B)
  \[-\sin 12\theta +i\cos 12\theta \]
  done clear
  C)
   \[-\sin 12\theta -i\cos 12\theta \]
  done clear
  D)
   \[\sin 12\theta +i\cos 12\theta \]
  done clear
  View Answer play_arrow

• question_answer209) If\[\sin \alpha +\sin \beta +\sin \gamma =0\]and \[cos\alpha +cos\beta +cos\gamma =0,\]then \[sin\text{ }2\alpha +sin\text{ }2\beta +sin\text{ }2\gamma \]is equal to
  A)
   \[sin\text{ }2(\alpha +\beta +\gamma )\]    
  done clear
  B)
   \[2sin(\alpha +\beta +\gamma )\]
  done clear
  C)
   1                 
  done clear
  D)
   0
  done clear
  View Answer play_arrow

• question_answer210) If\[2\cos \alpha =a+\left( \frac{1}{a} \right)\]and\[2\cos \beta =b+\left( \frac{1}{b} \right),\]then \[ab+\left( \frac{1}{ab} \right)\]is equal to
  A)
  \[2\text{ }cos(\alpha +\beta )\]       
  done clear
  B)
   \[2\text{ }\sin (\alpha +\beta )\]
  done clear
  C)
  \[2\text{ }cos(\alpha -\beta )\]       
  done clear
  D)
   \[4\cos \alpha \cos \beta \]
  done clear
  View Answer play_arrow

• question_answer211) If\[A=\left[ \begin{matrix}    0 & 1  \\    0 & 0  \\ \end{matrix} \right],a,b\]are arbitrary scalars and\[I\]is an unit matrix of order\[2\times 2,\]then\[{{(aI+bA)}^{2}}\]is equal to
  A)
   \[{{a}^{2}}I+{{b}^{2}}{{A}^{2}}\]
  done clear
  B)
   \[{{a}^{2}}I+2abA\]
  done clear
  C)
   \[{{a}^{2}}I+2abA+{{b}^{2}}\]
  done clear
  D)
   \[{{a}^{2}}I+{{b}^{2}}A\]
  done clear
  View Answer play_arrow

• question_answer212) If\[A=\left[ \begin{matrix}    2 & -1  \\    4 & 2  \\ \end{matrix} \right],B=\left[ \begin{matrix}    2 & 3  \\    1 & 2  \\ \end{matrix} \right]\]and\[C=\left[ \begin{matrix}    1 & 0  \\    0 & 1  \\ \end{matrix} \right],\]then\[A+B-C\]is equal to
  A)
   \[\left[ \begin{matrix}    3 & 2  \\    5 & 3  \\ \end{matrix} \right]\]
  done clear
  B)
   \[\left[ \begin{matrix}    5 & 2  \\    5 & 5  \\ \end{matrix} \right]\]
  done clear
  C)
   \[\left[ \begin{matrix}    5 & 2  \\    3 & 5  \\ \end{matrix} \right]\]
  done clear
  D)
   \[\left[ \begin{matrix}    3 & 2  \\    5 & 5  \\ \end{matrix} \right]\]
  done clear
  View Answer play_arrow

• question_answer213) If\[{{A}^{T}}\]and\[{{B}^{T}}\]are transpose matrices of two square matrices A and B of order\[2\times 2,\]then\[{{(AB)}^{T}}\]will be equal to
  A)
   \[{{A}^{T}}{{B}^{T}}\]           
  done clear
  B)
   \[{{B}^{T}}{{A}^{T}}\]
  done clear
  C)
   \[A{{B}^{T}}\] 
  done clear
  D)
   \[{{A}^{T}}B\]
  done clear
  View Answer play_arrow

• question_answer214) \[{{\tanh }^{-1}}x\] is equal to
  A)
   \[2\log \frac{1-x}{1+x}\]
  done clear
  B)
   \[2\log \frac{1+x}{1-x}\]
  done clear
  C)
   \[\frac{1}{2}\log \frac{1+x}{1-x}\]
  done clear
  D)
   \[\frac{1}{2}\log \frac{1-x}{1+x}\]
  done clear
  View Answer play_arrow

• question_answer215) \[cos\,{{h}^{-1}}x\] is equal to
  A)
   \[\log \{x+\sqrt{{{x}^{2}}+1}\}\]
  done clear
  B)
   \[\log \{x+\sqrt{{{x}^{2}}-1}\}\]
  done clear
  C)
   \[\frac{1}{2}\log \{x+\sqrt{{{x}^{2}}+1}\}\]
  done clear
  D)
   \[\frac{1}{2}\log \{x+\sqrt{{{x}^{2}}-1}\}\]
  done clear
  View Answer play_arrow

• question_answer216) The real part of\[{{\cos }^{-1}}(\cos \theta +i\sin \theta )\]is
  A)
   \[{{\cos }^{-1}}\sqrt{(\sin \theta )}\]
  done clear
  B)
   \[{{\sin }^{-1}}\sqrt{(\sin \theta )}\]
  done clear
  C)
   \[\sqrt{\theta }\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer217) The equation of line passes through the point (1,2) and perpendicular to the line\[x+y+1=0,\]is
  A)
   \[y-x+1=0\]     
  done clear
  B)
   \[y-x+2=0\]
  done clear
  C)
   \[y-x-1=0\]     
  done clear
  D)
   \[y-x-2=0\]
  done clear
  View Answer play_arrow

• question_answer218) The value of the determinant \[\left| \begin{matrix}    a+1 & 1 & 1  \\    1 & b+1 & 1  \\    1 & 1 & c+1  \\ \end{matrix} \right|\]is
  A)
   \[abc\]            
  done clear
  B)
  \[ab+bc+ca+abc\]
  done clear
  C)
   \[ab+bc+ca\]     
  done clear
  D)
   \[3(a+b+c)\]
  done clear
  View Answer play_arrow

• question_answer219) If\[{{(1+i\sqrt{3})}^{9}}=a+ib,a,b\in R,\]then the value of \[b\]is
  A)
   29              
  done clear
  B)
   \[-29\]
  done clear
  C)
   0               
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer220) \[{{(1+\cos \theta +i\sin \theta )}^{3}}+{{(1-\cos \theta -i\sin \theta )}^{3}}\]is equal to
  A)
   \[{{2}^{4}}{{\cos }^{3}}\left( \frac{\theta }{2} \right)\cos \left( \frac{3\theta }{2} \right)\]
  done clear
  B)
   \[{{2}^{3}}{{\cos }^{3}}\left( \frac{\theta }{2} \right)\cos \left( \frac{3\theta }{2} \right)\]
  done clear
  C)
   \[{{2}^{3}}{{\cos }^{3}}\left( \frac{\theta }{2} \right)\sin \left( \frac{3\theta }{2} \right)\]
  done clear
  D)
   \[{{2}^{4}}{{\cos }^{3}}\left( \frac{\theta }{2} \right)\sin \left( \frac{3\theta }{2} \right)\]
  done clear
  View Answer play_arrow

• question_answer221) If\[A=\left[ \begin{matrix}    1 & -2 & 3  \\    0 & 2 & -1  \\    -2 & 5 & 2  \\ \end{matrix} \right],\]then adj A is
  A)
   \[\left[ \begin{matrix}    9 & 19 & -4  \\    -4 & 8 & -1  \\    4 & -1 & 2  \\ \end{matrix} \right]\]
  done clear
  B)
   \[\left[ \begin{matrix}    9 & 19 & 4  \\    -2 & 14 & 1  \\    -4 & 1 & x  \\ \end{matrix} \right]\]
  done clear
  C)
   \[\left[ \begin{matrix}    9 & 19 & -4  \\    2 & 8 & 1  \\    4 & -1 & 2  \\ \end{matrix} \right]\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer222) The value of\[\left| \begin{matrix}    a-b & b-c & c-a  \\    b-c & c-a & a-b  \\    c-a & a-b & b-c  \\ \end{matrix} \right|\]is
  A)
   abc              
  done clear
  B)
   2abc
  done clear
  C)
   4abc            
  done clear
  D)
   0
  done clear
  View Answer play_arrow

• question_answer223) How many numbers greater than 40000 can be formed from the digits 2, 4, 5, 5, 7?
  A)
   12              
  done clear
  B)
   24
  done clear
  C)
   36              
  done clear
  D)
   48
  done clear
  View Answer play_arrow

• question_answer224) If sum of n terms of an AP is\[2{{n}^{2}}+5n,\]then its nth term is
  A)
   \[4n+3\]          
  done clear
  B)
   \[4n+5\]
  done clear
  C)
   \[4n+7\]          
  done clear
  D)
   \[4n+6\]
  done clear
  View Answer play_arrow

• question_answer225) Harmonic mean of any two numbers is 4 and relation between their geometric mean and arithmetic mean is\[{{G}^{2}}+2A=27,\]then these numbers are
  A)
   6, 3                
  done clear
  B)
   4, 27
  done clear
  C)
   6, 7                
  done clear
  D)
   3, 9
  done clear
  View Answer play_arrow

• question_answer226) In a complex plane, the point z moves such that\[|z-3i|=2\]then its locus is
  A)
   a straight line    
  done clear
  B)
   a circle
  done clear
  C)
   y-axis           
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer227) The solutions of\[|{{x}^{2}}-x-6|=x+2\]are
  A)
   \[-2,\text{ }2,\text{ }4\]           
  done clear
  B)
   \[-2,\text{ }2,-4\]
  done clear
  C)
   4, 3, 3            
  done clear
  D)
   \[3,\text{ }2,-2\]
  done clear
  View Answer play_arrow

• question_answer228) The square root of\[5-12i\]is
  A)
   \[\pm (3+2i)\]         
  done clear
  B)
   \[\pm (3-2i)\]
  done clear
  C)
   \[\pm (2+3i)\]         
  done clear
  D)
   \[\pm (2-3i)\]
  done clear
  View Answer play_arrow

• question_answer229) In a GP, second term is 2 and sum of infinite terms is 8, then its first term will be
  A)
   \[\frac{1}{4}\]             
  done clear
  B)
   \[\frac{1}{2}\]
  done clear
  C)
   2             
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer230) The roots of the equations\[{{x}^{2}}+ax+b=0\]and \[{{x}^{2}}+bx+a=0\]are common and\[a\ne b,\]then\[a+b\]is equal to
  A)
   0               
  done clear
  B)
   1
  done clear
  C)
   \[-1\]              
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer231) In the expansion of\[{{\left( \frac{2{{x}^{2}}}{3}+\frac{3}{2{{x}^{2}}} \right)}^{10}},\]the middle term is
  A)
   251            
  done clear
  B)
   252
  done clear
  C)
   250             
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer232) The quadratic equation of real coefficients, whose one root is\[7+5i,\]will be
  A)
   \[{{x}^{2}}+14x+74=0\]  
  done clear
  B)
   \[{{x}^{2}}-14x-74=0\]
  done clear
  C)
   \[{{x}^{2}}+14x-74=0\]
  done clear
  D)
   \[{{x}^{2}}-14x+74=0\]
  done clear
  View Answer play_arrow

• question_answer233) If in the expansion of\[{{(x+a)}^{n}},\]the sum of odd terms is P and sum of even terms is Q, then the value of\[{{({{x}^{2}}-{{a}^{2}})}^{n}}\]is
  A)
   \[{{P}^{2}}+{{Q}^{2}}\]
  done clear
  B)
   \[4PQ\]
  done clear
  C)
   \[{{P}^{2}}-{{Q}^{2}}\]
  done clear
  D)
   \[2P-2Q\]
  done clear
  View Answer play_arrow

• question_answer234) The value of determinant\[\left| \begin{matrix}    4 & -6 & 1  \\    -1 & -1 & 1  \\    -4 & 11 & -1  \\ \end{matrix} \right|\]is
  A)
   25               
  done clear
  B)
   \[-25\]
  done clear
  C)
   0              
  done clear
  D)
   \[-75\]
  done clear
  View Answer play_arrow

• question_answer235) There are 10 points in a plane. If 4 points are collinear, then the number of straight lines obtained by joining these points is
  A)
   44               
  done clear
  B)
   45
  done clear
  C)
   46               
  done clear
  D)
   40
  done clear
  View Answer play_arrow

• question_answer236) The value of\[cos\,{{h}^{2}}x-sin\,{{h}^{2}}x\]is
  A)
   \[cos\,h\text{ }2x\]          
  done clear
  B)
   1
  done clear
  C)
   0                
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer237) If\[{{y}^{2}}+xy-{{x}^{2}}=5,\]then\[\frac{dy}{dx}\]is equal to
  A)
   \[\frac{2x+y}{x+2y}\]
  done clear
  B)
   \[\frac{2y+x}{2x-y}\]
  done clear
  C)
   \[\frac{2x-y}{2y+x}\]          
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer238) If\[f(x)=\left\{ \begin{matrix}    x+1 & when\,x<2  \\    2x-1, & when\,x\ge 2  \\ \end{matrix} \right.,\]then at\[a=2,f'(x)\]is equal to
  A)
   10              
  done clear
  B)
   1
  done clear
  C)
   2                 
  done clear
  D)
   does not exist
  done clear
  View Answer play_arrow

• question_answer239) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{|x|}{x}\]is equal to
  A)
   1                 
  done clear
  B)
   \[-1\]
  done clear
  C)
   0                 
  done clear
  D)
   does not exist
  done clear
  View Answer play_arrow

• question_answer240) The equation of the normal to the curve\[{{y}^{2}}=4\text{ }ax\]at point\[(a{{t}^{2}},2at)\]is
  A)
   \[y-tx=a{{t}^{3}}+2at\]  
  done clear
  B)
  \[y+tx=a{{t}^{3}}+2at\]
  done clear
  C)
   \[y-tx=a{{t}^{3}}-2at\]  
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer241) Function\[f(x)=|x|\]is
  A)
   discontinuous at\[x=0\]
  done clear
  B)
   discontinuous at \[x=1\]
  done clear
  C)
   continuous at all points
  done clear
  D)
   discontinuous at all points
  done clear
  View Answer play_arrow

• question_answer242) Function is defined as\[f:x\to \frac{1+x}{1-x},\]then\[f\{f(x)\}\]is equal to
  A)
   \[x\]                   
  done clear
  B)
   \[\frac{1}{x}\]
  done clear
  C)
   \[-x\]            
  done clear
  D)
   \[-\frac{1}{x}\]
  done clear
  View Answer play_arrow

• question_answer243) If\[y={{\sec }^{-1}}x,\]then\[\frac{dy}{dx}\]is equal to
  A)
   \[\frac{1}{x\sqrt{{{x}^{2}}+1}}\]
  done clear
  B)
   \[\frac{1}{\sqrt{{{x}^{2}}-1}}\]
  done clear
  C)
   \[\frac{1}{x\sqrt{1-{{x}^{2}}}}\]
  done clear
  D)
   \[\frac{1}{x\sqrt{{{x}^{2}}-1}}\]
  done clear
  View Answer play_arrow

• question_answer244) The centroid of the triangle formed by the lines\[x=0,x-y=3\]and\[2x+3y=6\]is
  A)
   \[(3,-1)\]
  done clear
  B)
   \[(1,-3)\]
  done clear
  C)
   \[\left( 1,\frac{1}{3} \right)\]
  done clear
  D)
   \[\left( 1,-\frac{1}{3} \right)\]
  done clear
  View Answer play_arrow

• question_answer245) Three lines\[3x+4y+6=0,\]\[\sqrt{2}x+\sqrt{3}y+2\sqrt{2}=0\]and\[4x+7y+8=0\]are
  A)
   sides of a triangle
  done clear
  B)
   concurrent
  done clear
  C)
   parallel       
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer246) The equation of circle concentric to the circle \[{{x}^{2}}+{{y}^{2}}-3x+4y-2=0\]and passes through the point\[(-1,-2)\]is
  A)
  \[{{x}^{2}}+{{y}^{2}}-3x-4y=0\]
  done clear
  B)
   \[{{x}^{2}}+{{y}^{2}}+3x-4y=0\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}-3x+4y+\frac{25}{2}=0\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer247) If\[f(x)=\left\{ \begin{matrix}    x, & x<0  \\    1, & x=0  \\    {{x}^{2}}, & x>0  \\ \end{matrix} \right.,\]then the true statement is
  A)
   \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=1\]
  done clear
  B)
   \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=0\]
  done clear
  C)
   at\[x=0,f(x)\]is continuous
  done clear
  D)
   \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\]does not exist
  done clear
  View Answer play_arrow

• question_answer248) \[\underset{x\to a}{\mathop{\lim }}\,\frac{{{x}^{n}}-{{a}^{n}}}{x-a}\]is equal to
  A)
   0               
  done clear
  B)
   \[n{{a}^{n-1}}\]
  done clear
  C)
   \[n{{a}^{n}}\]             
  done clear
  D)
   \[\infty \]
  done clear
  View Answer play_arrow

• question_answer249) The polar of the circle \[{{x}^{2}}+{{y}^{2}}+2\lambda x+2\mu y+c=0\]with respect to origin will touch\[{{x}^{2}}+{{y}^{2}}={{r}^{2}},\]if
  A)
   \[{{r}^{2}}={{c}^{2}}({{\lambda }^{2}}+{{\mu }^{2}})\]
  done clear
  B)
   \[{{c}^{2}}={{r}^{2}}({{\lambda }^{2}}+{{\mu }^{2}})\]
  done clear
  C)
   \[c=r({{\lambda }^{2}}+{{\mu }^{2}})\]
  done clear
  D)
   \[r=c({{\lambda }^{2}}+{{\mu }^{2}})\]
  done clear
  View Answer play_arrow

• question_answer250) Equation of radical axis of the circles \[{{x}^{2}}+{{y}^{2}}+4x+7=0\]and\[2{{x}^{2}}+2{{y}^{2}}+3x+5y+9=0\]is
  A)
   \[x+y+1=0\]      
  done clear
  B)
   \[x+y-1=0\]
  done clear
  C)
   \[x-y-1=0\]      
  done clear
  D)
   \[x-y+1=0\]
  done clear
  View Answer play_arrow

• question_answer251) Line\[y=mx+\frac{a}{m}\]is a tangent to the parabola \[{{y}^{2}}=4\text{ }ax,\]then the point of contact is
  A)
   \[\left( \frac{a}{{{m}^{2}}},\frac{-2a}{m} \right)\]
  done clear
  B)
   \[\left( \frac{a}{{{m}^{2}}},\frac{2a}{m} \right)\]
  done clear
  C)
   \[(a{{m}^{2}},2am)\]    
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer252) The coordinates of two points A and B are \[(-1,2)\]and\[(2,-1)\]respectively, then equation of circle AB as diameter, is
  A)
   \[{{x}^{2}}+{{y}^{2}}-x+y-4=0\]
  done clear
  B)
   \[{{x}^{2}}+{{y}^{2}}+x+y-4=0\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}-x-y-4=0\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer253) The equation of line joining the point (2, 3) to the point of intersection\[2x+3y+1=0\]and \[3x-4y=8,\]is
  A)
   \[3x+y-9=0\]    
  done clear
  B)
   \[5x-y-7=0\]
  done clear
  C)
   \[5x+y-13=0\]   
  done clear
  D)
   \[3x-y-3=0\]
  done clear
  View Answer play_arrow

• question_answer254) The equation of a parabola is\[{{x}^{2}}=-10y,\]then coordinates of focus are
  A)
   \[\left( 0,-\frac{5}{2} \right)\]
  done clear
  B)
   \[\left( 0,\frac{5}{2} \right)\]
  done clear
  C)
   \[\left( \frac{5}{2},0 \right)\]
  done clear
  D)
   \[\left( -\frac{5}{2},0 \right)\]
  done clear
  View Answer play_arrow

• question_answer255) The equation of tangent to the parabola \[{{y}^{2}}=8x\]which is perpendicular to the line \[2x-y+1=0,\]is
  A)
   \[x+2y=8\]       
  done clear
  B)
   \[x+2y+8=0\]
  done clear
  C)
   \[2x+y=8\]       
  done clear
  D)
   \[2x+y+8=0\]
  done clear
  View Answer play_arrow

• question_answer256) If vertex and focus of a parabola are (3, 3) and \[(-3,3),\]then its equation is
  A)
   \[{{(y+3)}^{2}}\]\[~=24(x+3)\]
  done clear
  B)
   \[{{(y+3)}^{2}}=-24(x+3)\]
  done clear
  C)
   \[{{(y-3)}^{2}}=-24(x-3)\]
  done clear
  D)
   \[{{(y-3)}^{2}}=24(x-3)\]
  done clear
  View Answer play_arrow

• question_answer257) The equation of normal to the circle \[{{x}^{2}}+{{y}^{2}}-4x+6y=0\]at point (0, 0) is
  A)
   \[3x-2y=0\]       
  done clear
  B)
   \[3x+2y=0\]
  done clear
  C)
   \[2x-3y=0\]       
  done clear
  D)
   \[2x+3y=0\]
  done clear
  View Answer play_arrow

• question_answer258) A circle touches the line\[2x-y-1=0\]at point (3,5). Its centre lies on the line\[x+y=5,\]then the coordinates of centre of circle are
  A)
   \[(-3,\text{ }8)\]            
  done clear
  B)
   (2, 3)
  done clear
  C)
   (3, 2)             
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer259) If ordinate of a point on the parabola\[{{y}^{2}}=64x\]is 8, then the equation of tangent at this point is
  A)
   \[4x-y+4=0\]     
  done clear
  B)
   \[4x+y+4=0\]
  done clear
  C)
   \[x+4y-4=0\]     
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer260) The length of the double ordinate of the parabola\[{{x}^{2}}=8y\]is 8. Then, the end points of this double ordinate are
  A)
   \[(4,2),(4,-2)\]      
  done clear
  B)
   \[(2,4),(2,-4)\]
  done clear
  C)
   \[(4,2),(-4,2)\]     
  done clear
  D)
  \[(-2,4),(2,4)\]
  done clear
  View Answer play_arrow

• question_answer261) The area of the region bounded by the curve\[y=\frac{3}{{{x}^{2}}},\]\[x-\]axis and\[x=1,\text{ }x=2\]is
  A)
   \[1\,sq\,unit\]
  done clear
  B)
   \[3\,sq\,unit\]
  done clear
  C)
   \[2\,sq\,unit\]
  done clear
  D)
   \[\frac{3}{2}\,sq\,unit\]
  done clear
  View Answer play_arrow

• question_answer262) The area of the region bounded by the curve \[y=4+3x-{{x}^{2}}\]and\[x-\]axis is
  A)
   \[\frac{125}{6}\]sq units
  done clear
  B)
   \[\frac{125}{3}\]sq units
  done clear
  C)
   \[\frac{125}{2}\] sq units
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer263) \[\int_{-1}^{1}{x\,{{\tan }^{-1}}x\,dx}\]is equal to
  A)
   \[-\frac{\pi }{2}-1\]
  done clear
  B)
   \[\frac{\pi }{2}+1\]
  done clear
  C)
   \[\frac{\pi }{2}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer264) The value of\[\int{\frac{dx}{\sqrt{(3-5x-{{x}^{2}})}}}\]is
  A)
   \[{{\sin }^{-1}}\left( \frac{2x+5}{\sqrt{37}} \right)+c\]
  done clear
  B)
   \[{{\sinh }^{-1}}\left( \frac{2x+5}{\sqrt{37}} \right)+c\]
  done clear
  C)
   \[{{\sin }^{-1}}\left( \frac{2x+5}{37} \right)+c\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer265) \[\int{\frac{{{e}^{x}}}{{{e}^{x}}-1}}dx\]is equal to
  A)
   \[\log ({{e}^{x}}-1)+c\]
  done clear
  B)
   \[-\log ({{e}^{x}}-1)+c\]
  done clear
  C)
   \[\log (1-{{e}^{x}})+c\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer266) The value of \[\int_{2}^{4}{\frac{\sqrt{{{x}^{2}}-4}}{x}}dx\] is
  A)
   \[2\sqrt{3}+\frac{2\pi }{3}\]
  done clear
  B)
   \[2\sqrt{3}-\frac{\pi }{3}\]
  done clear
  C)
   \[2\sqrt{3}+\frac{\pi }{3}\]
  done clear
  D)
   \[2\sqrt{3}-\frac{2\pi }{3}\]
  done clear
  View Answer play_arrow

• question_answer267) The value of\[\int_{0}^{2/3}{\frac{dx}{4+9{{x}^{2}}}}\]is
  A)
   \[\frac{\pi }{4}\]
  done clear
  B)
   \[\pi \]
  done clear
  C)
   \[0\]               
  done clear
  D)
   \[\frac{\pi }{24}\]
  done clear
  View Answer play_arrow

• question_answer268) \[\int{\frac{t}{{{e}^{3{{t}^{2}}}}}}dt\]is equal to
  A)
   \[\frac{1}{6}{{e}^{3{{t}^{2}}}}+c\]
  done clear
  B)
   \[-\frac{1}{5}{{e}^{3{{t}^{2}}}}+c\]
  done clear
  C)
   \[\frac{1}{6}{{e}^{-3{{t}^{2}}}}+c\]
  done clear
  D)
   \[-\frac{1}{6}{{e}^{-3{{t}^{2}}}}+c\]
  done clear
  View Answer play_arrow

• question_answer269) The area of the region bounded by the curve \[y=cos\text{ }x\]and\[x-\]axis when\[0<x\le 2\pi ,\]will be
  A)
   4 sq units        
  done clear
  B)
   3 sq units
  done clear
  C)
   2 sq units        
  done clear
  D)
   1 sq unit
  done clear
  View Answer play_arrow

• question_answer270) If\[y=log\text{ }{{x}^{10}},\]then\[\frac{dy}{dx}\]is equal to
  A)
   \[10{{x}^{2}}\]
  done clear
  B)
   \[\frac{10}{x}\]
  done clear
  C)
   \[10x\]            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer271) \[{{e}^{x}}\sin y-{{e}^{y}}\cos x=1,\]then\[\frac{dy}{dx}\]is equal to
  A)
   \[\frac{\sin y+{{e}^{y-x}}\sin x}{\cos y-{{e}^{y-x}}\cos x}\]
  done clear
  B)
   \[\frac{\cos y-{{e}^{y-x}}\cos x}{\sin y+{{e}^{y-x}}\sin x}\]
  done clear
  C)
   \[\frac{\cos y+{{e}^{y-x}}\cos x}{\sin y-{{e}^{y-x}}\sin x}\]
  done clear
  D)
   \[\frac{\sin y+{{e}^{y-x}}\sin x}{{{e}^{y-x}}\cos x-\cos y}\]
  done clear
  View Answer play_arrow

• question_answer272) If\[y=\frac{\sec x+\tan x}{\sec x-\tan x},\]then\[\frac{dy}{dx}\]is equal to
  A)
   \[2\text{ }sec\text{ }x{{(sec\text{ }x+tan\text{ }x)}^{2}}\]
  done clear
  B)
   \[2\text{ }sec\text{ }x{{(sec\text{ }x-tan\text{ }x)}^{2}}\]
  done clear
  C)
   \[2\,sec\,x\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer273) The equation of the normal to the curve \[y=x(2-x)\]at point (2, 0) is
  A)
   \[x-2y=2\]        
  done clear
  B)
   \[x-2y+2=0\]
  done clear
  C)
   \[2x+y=0\]       
  done clear
  D)
   \[2x+y-4=0\]
  done clear
  View Answer play_arrow

• question_answer274) The length of subnormal to the curve\[{{y}^{2}}=4x\] at any point is
  A)
   2
  done clear
  B)
   \[\frac{{{y}^{2}}}{2}\]
  done clear
  C)
   \[2{{y}^{2}}\]
  done clear
  D)
   \[\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer275) If\[x=a{{t}^{2}},\text{ }y=2at,\]then the value of\[\frac{dy}{dx}\]at\[t=2\] is
  A)
   2               
  done clear
  B)
   \[\frac{1}{2}\]
  done clear
  C)
   0               
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer276) If\[y=\sqrt{\left( \frac{1+x}{1-x} \right)},\]then\[\frac{dy}{dx}\]is equal to
  A)
   \[\frac{y}{1-{{x}^{2}}}\]
  done clear
  B)
   \[\frac{y}{{{x}^{2}}-1}\]
  done clear
  C)
   \[\frac{y}{{{x}^{2}}+1}\]          
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer277) If\[y={{(x-2)}^{x}},\]then\[\frac{dy}{dx}\]is equal to
  A)
   \[{{(x-2)}^{x}}\log (x-2)+x{{(x-2)}^{x-1}}\]
  done clear
  B)
   \[{{(x-2)}^{x}}\log (x-2)+{{(x-2)}^{x}}\]
  done clear
  C)
   \[{{(x-2)}^{x-1}}\log (x-1)+x{{(x-2)}^{x-1}}\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer278) The points on the curve\[y=12x-{{x}^{3}}\]at which the slope of the tangent will be zero, are
  A)
  \[(2,-16),(-2,16)\]  
  done clear
  B)
   (3, 10), (0, 10)
  done clear
  C)
   \[(2,16),(-2,-16)\]  
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer279) The value of\[\int{{{\sec }^{4}}xdx}\]is
  A)
   \[\tan x+\frac{1}{3}{{\sec }^{3}}x+c\]
  done clear
  B)
   \[\frac{1}{6}\tan x+{{\sec }^{3}}x+c\]
  done clear
  C)
   \[\tan x-\frac{1}{3}{{\sec }^{3}}x+c\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer280) The function\[f(x)=\frac{1}{3}{{x}^{3}}+\frac{1}{2}{{x}^{2}}-6x+8\]is decreasing in the interval
  A)
   \[(-\infty ,-3)\]
  done clear
  B)
   \[(2,\infty )\]
  done clear
  C)
   \[(-3,2)\]
  done clear
  D)
   \[(-\infty ,-3)\cup (2,\infty )\]
  done clear
  View Answer play_arrow

• question_answer281) The point of inflexion on the curve\[y={{x}^{5/3}}\] will be
  A)
   (0, 0)              
  done clear
  B)
   (1, 0)
  done clear
  C)
   (0, 1)              
  done clear
  D)
   does not exist
  done clear
  View Answer play_arrow

• question_answer282) The value of\[\int{\frac{{{({{x}^{2}}+8)}^{2}}}{{{x}^{4}}}}dx\]is equal to
  A)
   \[x+\frac{16}{x}+\frac{64}{3{{x}^{2}}}+c\]
  done clear
  B)
   \[x-\frac{16}{x}-\frac{64}{3{{x}^{3}}}+c\]
  done clear
  C)
   \[x-\frac{32}{{{x}^{3}}}-\frac{256}{3{{x}^{2}}}+c\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer283) The value of\[\int{\frac{\tan xdx}{\sec x+\cos x}}\]is
  A)
   \[{{\tan }^{-1}}(\cos x)+c\]
  done clear
  B)
   \[-{{\tan }^{-1}}(\cos x)+c\]
  done clear
  C)
   \[{{\tan }^{-1}}(\sin x)+c\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer284) If\[x\]and y are two variables such that\[xy=1,\text{ }x>1,\]then the minimum value of\[x+y\] will be
  A)
   1               
  done clear
  B)
   2
  done clear
  C)
   3               
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer285) The maximum value of\[sin\text{ }x+cos\text{ }x\]is
  A)
   \[2\]
  done clear
  B)
   \[\sqrt{2}\]
  done clear
  C)
   \[\frac{1}{\sqrt{2}}\]
  done clear
  D)
   1
  done clear
  View Answer play_arrow

• question_answer286) The value of\[\int{{{\sec }^{3}}\theta d\theta }\]is
  A)
   \[\frac{1}{2}log\text{(}sec\theta +tan\theta )+\frac{1}{2}sec\theta tan\theta +c\]
  done clear
  B)
   \[log(sec\theta +tan\theta )+sec\theta tan\theta +c\]
  done clear
  C)
   \[log(sec\theta -tan\theta )+\frac{1}{2}sec\theta tan\theta +c\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer287) The value of\[\int{\frac{4x-7}{{{x}^{2}}+x-2}}dx\]is
  A)
   \[\log ({{x}^{2}}+x-2)+3\left( \frac{x-1}{x+2} \right)+c\]
  done clear
  B)
   \[2\log ({{x}^{2}}+x-2)-3\log \left( \frac{x+1}{x+2} \right)+c\]
  done clear
  C)
   \[2\log ({{x}^{2}}+x-2)-3\log \left( \frac{x-1}{x+2} \right)+c\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer288) A man draws a card from a pack of 52 playing cards, replace it and shuffles the pack. He continues this processes until he gets a card of spade. The probability that he will fail the first two times, is
  A)
   \[\frac{9}{64}\]
  done clear
  B)
   \[\frac{1}{64}\]
  done clear
  C)
   \[\frac{1}{16}\]
  done clear
  D)
   \[\frac{9}{16}\]
  done clear
  View Answer play_arrow

• question_answer289) Two dice are thrown together. The probability of getting the sum 7 is
  A)
   \[\frac{7}{36}\]
  done clear
  B)
   \[\frac{1}{36}\]
  done clear
  C)
   \[\frac{1}{6}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer290) The projection of vector\[2\hat{i}+3\hat{j}-2\hat{k}\] on the vector \[\hat{i}+2\hat{j}+3\hat{k}\]is
  A)
   \[\frac{1}{\sqrt{14}}\]
  done clear
  B)
   \[\frac{2}{\sqrt{14}}\]
  done clear
  C)
   \[\frac{2}{\sqrt{17}}\]            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer291) The probability that a leap year will have 53 Sundays, is
  A)
   \[\frac{2}{7}\]
  done clear
  B)
   \[\frac{2}{3}\]
  done clear
  C)
   \[\frac{3}{5}\]
  done clear
  D)
   \[\frac{1}{7}\]
  done clear
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• question_answer292) If\[[\overrightarrow{a}+\overrightarrow{b}]=[\overrightarrow{a}-\overrightarrow{b}],\]then the vectors\[\overrightarrow{a}\]and\[\overrightarrow{b}\]are
  A)
   parallel           
  done clear
  B)
   perpendicular
  done clear
  C)
   collinear         
  done clear
  D)
   coplanar
  done clear
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• question_answer293) If the adjacent sides of a parallelogram are represented by\[\overrightarrow{a}=3\hat{i}+\hat{j}+2\hat{k}\]and \[\overrightarrow{b}=2\hat{i}-2\hat{j}+4\hat{k},\]then its area will be
  A)
   \[8\sqrt{3}\] sq units      
  done clear
  B)
   8 sq units
  done clear
  C)
   \[8\sqrt{2}\]sq units     
  done clear
  D)
   None of these
  done clear
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• question_answer294) If\[\overrightarrow{a}=\hat{i}+2\hat{j}-\hat{k}\]and\[\overrightarrow{b}=2\hat{i}+\hat{j}+\hat{k},\]then the angle between 1st and b will be
  A)
   \[30{}^\circ \]              
  done clear
  B)
   \[45{}^\circ \]
  done clear
  C)
   \[60{}^\circ \]            
  done clear
  D)
   \[90{}^\circ \]
  done clear
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• question_answer295) Six boys and six girls are sitting in a row. The probability that all 6 girls sit together, is
  A)
   \[\frac{1}{102}\]
  done clear
  B)
   \[\frac{1}{112}\]
  done clear
  C)
   \[\frac{1}{122}\]
  done clear
  D)
   \[\frac{1}{132}\]
  done clear
  View Answer play_arrow

• question_answer296) The value of\[\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{{{e}^{x}}-{{e}^{\sin x}}}{x-\sin x} \right]\]is
  A)
   \[-1\]              
  done clear
  B)
   0
  done clear
  C)
   1               
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer297) The number of terms in the expansion of \[{{(a+b+c)}^{10}}\]is
  A)
   11             
  done clear
  B)
   21
  done clear
  C)
   55             
  done clear
  D)
   66
  done clear
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• question_answer298) The eccentricity of the conjugate hyperbola of the hyperbola\[{{x}^{2}}-3{{y}^{2}}=1\]is
  A)
   \[\frac{4}{3}\]               
  done clear
  B)
   4
  done clear
  C)
   \[2\]
  done clear
  D)
   \[\frac{2}{\sqrt{3}}\]
  done clear
  View Answer play_arrow

• question_answer299) The value of\[\int_{0}^{\pi }{\frac{x\,dx}{1+\sin x}}\]is
  A)
   \[-\pi \]              
  done clear
  B)
   \[\frac{\pi }{2}\]
  done clear
  C)
   \[\pi \]               
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer300) Harmonic mean of the two numbers\[\frac{a}{1-ab}\]and \[\frac{a}{1+ab}\]is
  A)
   \[\frac{1}{1-{{a}^{2}}{{b}^{2}}}\]
  done clear
  B)
   \[\frac{a}{1-{{a}^{2}}{{b}^{2}}}\]
  done clear
  C)
   \[a\]
  done clear
  D)
   \[\frac{a}{\sqrt{1-{{a}^{2}}{{b}^{2}}}}\]
  done clear
  View Answer play_arrow