Solved papers for Manipal Engineering Manipal Engineering Solved Paper-2013

done Manipal Engineering Solved Paper-2013 Total Questions - 240

• question_answer1) The angular velocities of three bodies in simple harmonic motion are\[{{\omega }_{1}},\,\,{{\omega }_{2}},\,\,{{\omega }_{3}}\]with their respective amplitudes as\[{{A}_{1}},\,\,{{A}_{2}},\,\,{{A}_{3}}\]. If all the three bodies have same mass and velocity, then
  A)
  \[A_{1}^{2}\omega _{1}^{2}=A_{2}^{2}\omega _{2}^{2}=A_{3}^{2}{{\omega }^{2}}\]    
  done clear
  B)
  \[A_{1}^{2}{{\omega }_{1}}=A_{2}^{2}{{\omega }_{1}}=A_{3}^{2}{{\omega }_{3}}\]
  done clear
  C)
  \[{{A}_{1}}\omega _{1}^{2}={{A}_{2}}\omega _{2}^{2},\,\,{{A}_{3}}\omega _{3}^{2}\]
  done clear
  D)
  \[{{A}_{1}}{{\omega }_{1}}={{A}_{2}}{{\omega }_{2}}={{A}_{3}}{{\omega }_{3}}\]
  done clear
  View Answer play_arrow

• question_answer2) If value of surface tension of a liquid is \[70\text{ }dyne/cm\], then its value in \[N/m\] will be
  A)
  \[7\times {{10}^{3}}N/m\]          
  done clear
  B)
         \[7\times {{10}^{2}}N/m\]
  done clear
  C)
  \[7\times {{10}^{-2}}N/m\]        
  done clear
  D)
         \[70\,\,N/m\]
  done clear
  View Answer play_arrow

• question_answer3) A ballon contains\[1500\,\,{{m}^{3}}\]of a helium at\[{{27}^{o}}C\]and 4 atmospheric pressure. The volume of helium at\[-{{3}^{o}}C\]temperature and 2 atmospheric pressure will be
  A)
  \[2700\,\,{{m}^{3}}\]                     
  done clear
  B)
  \[1900\,\,{{m}^{3}}\]
  done clear
  C)
  \[1700\,\,{{m}^{3}}\]     
  done clear
  D)
         \[1500\,\,{{m}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer4) A car is moving along a straight horizontal road with a speed\[{{\upsilon }_{0}}\]. If the coefficient of friction between the tyres and the road is\[\mu \], the shortest distance in which the car be stopped is
  A)
  \[\frac{v_{0}^{2}}{\mu }\]                                           
  done clear
  B)
  \[{{\left( \frac{{{v}_{0}}}{{{\mu }_{g}}} \right)}^{2}}\]
  done clear
  C)
  \[\frac{v_{0}^{2}}{{{\mu }_{g}}}\]                            
  done clear
  D)
         \[\frac{v_{0}^{2}}{2{{\mu }_{g}}}\]
  done clear
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• question_answer5) A car travelling on a straight track moves with uniform velocity of\[{{\upsilon }_{1}}\]for some time and with uniform velocity\[{{\upsilon }_{2}}\]for the next equal time the average velocity on the car is
  A)
  \[\frac{{{v}_{1}}{{v}_{2}}}{2}\]                                  
  done clear
  B)
  \[\frac{{{v}_{1}}{{v}_{2}}}{4}\]
  done clear
  C)
  \[\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
  done clear
  D)
         \[\frac{{{v}_{1}}-{{v}_{2}}}{2}\]
  done clear
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• question_answer6) Threshold wavelength of a metal is \[4000\overset{\text{o}}{\mathop{\text{A}}}\,\]. If light of wavelength\[3000\overset{\text{o}}{\mathop{\text{A}}}\,\]irradiates the surface, the maximum kinetic energy of photoelectron is
  A)
  \[1.7\,\,eV\]                     
  done clear
  B)
  \[1.6\,\,eV\]
  done clear
  C)
  \[1.5\,\,eV\]     
  done clear
  D)
         \[1.0\,\,eV\]
  done clear
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• question_answer7) Simple pendulum of length\[l\]has a maximum angular displacement\[\theta \]. The maximum kinetic energy of the bob is
  A)
  \[mgl\,\,(1-\cos \theta )\]           
  done clear
  B)
  \[0.5\,\,mgl\]
  done clear
  C)
  \[mgl\]                
  done clear
  D)
         \[2\,\,mgl\]
  done clear
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• question_answer8) Radius of orbit of satellite of earth is\[R\]. Its kinetic energy is proportional to
  A)
  \[\frac{1}{R}\]                                  
  done clear
  B)
  \[\frac{1}{\sqrt{R}}\]
  done clear
  C)
  \[R\]                     
  done clear
  D)
         \[\frac{1}{{{R}^{3/2}}}\]
  done clear
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• question_answer9) The radius\[R\]of the soap bubble is doubled under isothermal condition. If\[T\]be the surface tension of soap bubble, the work done in doing so is given by
  A)
  \[32\pi {{R}^{2}}T\]                        
  done clear
  B)
  \[24\pi {{R}^{2}}T\]
  done clear
  C)
  \[8\pi {{R}^{2}}T\]                           
  done clear
  D)
  \[4\pi {{R}^{2}}T\]
  done clear
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• question_answer10) A body of specific heat\[0.2\,\,kcal/k{{g}^{o}}C\]is heated through\[{{100}^{o}}C\]. The percentage increase in its mass is
  A)
  \[9%\]                                  
  done clear
  B)
  \[9.3\times {{10}^{-11}}%\]
  done clear
  C)
  \[10%\]               
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer11) Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field through both coils, if the same current is flown
  A)
  \[1:\sqrt{2}\]                    
  done clear
  B)
  \[1:2\]
  done clear
  C)
  \[1:3\]                  
  done clear
  D)
         \[\sqrt{3}:1\]
  done clear
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• question_answer12) A prism of refractive index\[\sqrt{2}\]has refracting angle of\[{{60}^{o}}\]. At what angle a ray must be incident one it so that it suffers a minimum deviation?
  A)
  \[45{}^\circ \]                                   
  done clear
  B)
  \[60{}^\circ \]
  done clear
  C)
  \[90{}^\circ \]
  done clear
  D)
         \[180{}^\circ \]
  done clear
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• question_answer13) A elevator car whose floor to distance is\[2.7\,\,m\]starts ascending with a constant acceleration of\[1.2\,\,m/{{s}^{2}}\],\[2s\]after a bolt is begin to fall from the ceiling of the car. The free fall time of the bolt is\[(g=9.8m/{{s}^{e}})\]
  A)
  \[\sqrt{\frac{2.7}{9.8}}s\]                            
  done clear
  B)
  \[\sqrt{\frac{5.4}{9.8}}s\]
  done clear
  C)
  \[\sqrt{\frac{5.4}{8.6}}s\]            
  done clear
  D)
         \[\sqrt{\frac{5.4}{11}}s\]
  done clear
  View Answer play_arrow

• question_answer14) A wet open umbrella is held vertical and it whirld about the handle at a uniform rate of 21 revolutions in\[44s\]. If the rim of the umbrella is circle of\[1m\]in diameter and the height of the rim above the flour is\[4.9m\], the locus of the drop is a circle of radius
  A)
  \[\sqrt{2.5}m\]                
  done clear
  B)
  \[1\,\,m\]
  done clear
  C)
  \[3\,\,m\]                           
  done clear
  D)
         \[1.5\,\,m\]
  done clear
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• question_answer15) The moment of inertia of a body about a given axis is\[1.2kg-{{m}^{2}}\]. To produce a rotational kinetic energy of\[1500\,\,J\]an angular acceleration of\[25\text{ }rad/{{s}^{2}}\]must be applied for
  A)
  \[8.5s\]                                
  done clear
  B)
  \[5s\]
  done clear
  C)
  \[2s\]                   
  done clear
  D)
         \[1s\]
  done clear
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• question_answer16) A running man has half the kinetic energy of that of a boy of half of his mass. The man speed up 1 m/s, so as the have same kinetic energy as that of a boy. The original speed of the man is
  A)
  \[(\sqrt{2}-1)m/s\]
  done clear
  B)
  \[\sqrt{2}m/s\]
  done clear
  C)
  \[\frac{1}{(\sqrt{2}-1)m/s}\]
  done clear
  D)
  \[\frac{1}{\sqrt{2}}m/s\]
  done clear
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• question_answer17) An earth satellites\[S\]has orbit radius which is 4 times that of communication satellite\[C\]. The period of revolution of\[S\]will be
  A)
   32 days
  done clear
  B)
                          18 days
  done clear
  C)
   8 days                 
  done clear
  D)
   9 days
  done clear
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• question_answer18) \[n\] small balls, each of mass \[m\] impinge elastically each second on a surface with a velocity \[u\], then the force experienced by the surface in one second, will be
  A)
  \[4mnu\]                            
  done clear
  B)
  \[2mnu\]
  done clear
  C)
  \[1.5mnu\]        
  done clear
  D)
         \[0.8mnu\]
  done clear
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• question_answer19) A circular disc is rotating with angular velocity\[\omega \]. If a man standing at the edge of the disc walks towards its centre then the angular velocity of the disc will
  A)
   decrease                           
  done clear
  B)
   increase
  done clear
  C)
   be halved           
  done clear
  D)
          not change
  done clear
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• question_answer20) The moment of inertia of a disc of mass m and radius\[R\]about an axis, which is tangential to the circumference of the disc and parallel to its diameter is
  A)
  \[\frac{3}{2}m{{R}^{2}}\]                             
  done clear
  B)
  \[\frac{2}{3}m{{R}^{2}}\]
  done clear
  C)
  \[\frac{5}{4}m{{R}^{2}}\]             
  done clear
  D)
         \[\frac{4}{5}m{{R}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer21) A body weights \[500N\] on the surface of the earth. How much would it weigh half way below the surface of the earth?
  A)
  \[1000N\]                           
  done clear
  B)
  \[500N\]
  done clear
  C)
  \[250N\]             
  done clear
  D)
         \[125N\]
  done clear
  View Answer play_arrow

• question_answer22) Escape velocity at surface of earth is\[11.2\,\,Km/s\]. Escape velocity from a planet whose mass is the same as that of earth and radius\[1/4\]that of earth, is
  A)
  \[2.8km/s\]                       
  done clear
  B)
  \[15.6km/s\]
  done clear
  C)
  \[22.4km/s\]         
  done clear
  D)
         \[44.8km/s\]
  done clear
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• question_answer23) The Bulk Modulus for an incompressible liquid is
  A)
   zero                     
  done clear
  B)
   unity
  done clear
  C)
   infinity                
  done clear
  D)
          between 0 and 1
  done clear
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• question_answer24) In a capillary tube, water rises to 3 mm the height of water that will rise in another capillary tube having one-third radius of the first is
  A)
   1 mm                   
  done clear
  B)
   3 mm  
  done clear
  C)
   6 mm  
  done clear
  D)
          9 mm
  done clear
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• question_answer25) An object is placed at a distance 20 cm from the pole of a convex mirror of focal length 20 cm. The image is produced
  A)
   13.3 cm
  done clear
  B)
                          20 cm  
  done clear
  C)
   25 cm  
  done clear
  D)
          10 cm
  done clear
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• question_answer26) Angular momentum is conserved
  A)
   always
  done clear
  B)
   never
  done clear
  C)
   when external force is absent
  done clear
  D)
   when external torque is absent
  done clear
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• question_answer27) The plano-convex lens of focal length 20 cm and 30 cm are placed together to form a double convex lens, the final focal length will be
  A)
   12 cm 
  done clear
  B)
                          60cm  
  done clear
  C)
   20cm   
  done clear
  D)
          30cm
  done clear
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• question_answer28) Due to a force of\[(6\widehat{\mathbf{i}}+2\widehat{\mathbf{j}})N\]the displacement of a body is\[(3\widehat{\mathbf{i}}-\widehat{\mathbf{j}})m\], then the work done is
  A)
  \[16j\]                  
  done clear
  B)
         \[12j\]
  done clear
  C)
  \[8j\]                    
  done clear
  D)
          zero
  done clear
  View Answer play_arrow

• question_answer29) For a body moving with relativistic speed if the velocity is doubled, then
  A)
   its linear momentum is doubled
  done clear
  B)
   its linear momentum will be less than double
  done clear
  C)
   its linear momentum will be more than double
  done clear
  D)
   its linear momentum remains unchanged
  done clear
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• question_answer30) Position of a body with acceleration\[a\]is given by\[x=k{{a}^{m}}{{t}^{n}}\], here\[t\]is time, find the dimension of\[m\]and\[n\]
  A)
  \[m=1,\,\,n=1\]                               
  done clear
  B)
  \[m=1,\,\,n=2\]
  done clear
  C)
  \[m=2,\,\,n=1\]               
  done clear
  D)
         \[m=2,\,\,n=2\]
  done clear
  View Answer play_arrow

• question_answer31) The correct relation between\[\alpha \]and\[\beta \]in a transistor is
  A)
  \[\beta =\frac{\alpha }{1-\alpha }\]                        
  done clear
  B)
  \[\beta =\frac{\alpha }{1+\alpha }\]
  done clear
  C)
  \[\beta =\frac{1+\alpha }{\alpha }\]       
  done clear
  D)
         \[\beta =1-\alpha \]
  done clear
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• question_answer32) A man crosses a \[320\,\,m\] wide river perpendicular to the current in 4 min. If in still water he can swim with a speed \[5/3\] times that of the current, then the speed of the current, in\[m{{m}^{-1}}\]in is
  A)
   30                         
  done clear
  B)
   40     
  done clear
  C)
   50         
  done clear
  D)
          60
  done clear
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• question_answer33) Two spheres of equal masses, one of which is a thin spherical shell and the other a solid, have the same moment of inertia about their respective diameters. The ratio of their radii will be
  A)
  \[5:7\]                                  
  done clear
  B)
  \[3:5\]
  done clear
  C)
  \[\sqrt{3}:\sqrt{5}\]          
  done clear
  D)
         \[\sqrt{3}:\sqrt{7}\]
  done clear
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• question_answer34) The speed with which the earth have to rotate on its axis so that a person on the equator would weight\[{{(3/5)}^{th}}\]as much as present. [Radius of earth = 6400 km]
  A)
  \[4.83\times {{10}^{-3}}rad{{s}^{-1}}\]
  done clear
  B)
  \[5.41\times {{10}^{-3}}rad{{s}^{-1}}\]
  done clear
  C)
  \[7.82\times {{10}^{-4}}rad{{s}^{-1}}\]
  done clear
  D)
  \[8.88\times {{10}^{-14}}rad{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer35) The rate of flow of glycerine of density\[1.25\times {{10}^{3}}kg{{m}^{-3}}\]through the conical section of a pipe if the radii of its ends are\[0.1\,\,m\]and\[0.04\text{ }m\]and the pressure drop across its length\[10N{{m}^{-2}}\]is
  A)
  \[6.93\times {{10}^{-4}}{{m}^{3}}{{s}^{-1}}\]
  done clear
  B)
  \[7.8\times {{10}^{-4}}{{m}^{3}}{{s}^{-1}}\]
  done clear
  C)
  \[10.4\times {{10}^{-5}}{{m}^{3}}{{s}^{-1}}\]
  done clear
  D)
  \[14.5\times {{10}^{-5}}{{m}^{3}}{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer36) The temperature of the black body increases from\[T\]to\[2T\]. The factor by which the rate of emission will increases is
  A)
   4                            
  done clear
  B)
   2       
  done clear
  C)
   16         
  done clear
  D)
          8
  done clear
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• question_answer37) A police jeep is chasing with velocity of 45 km/h a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity it will strike the car of the thief is
  A)
   150 m/s             
  done clear
  B)
   27 m/s
  done clear
  C)
   450 m/s             
  done clear
  D)
   250 m/s
  done clear
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• question_answer38) If the energy of a hydrogen atom in\[{{n}^{th}}\]orbit is \[{{E}_{n}}\]then energy in the\[{{n}^{th}}\]orbit of a singly ionized helium atom will be
  A)
  \[4{{E}_{n}}\]                                    
  done clear
  B)
  \[{{E}_{n}}/4\]
  done clear
  C)
  \[2{{E}_{n}}\]                    
  done clear
  D)
         \[{{E}_{n}}/2\]
  done clear
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• question_answer39) If the work function of a potential is\[6.875\,\,eV\], its   threshold   wavelength   will   be (Take \[=c=3\times {{10}^{8}}\,m/s\])
  A)
  \[3600\overset{\text{o}}{\mathop{\text{A}}}\,\]                            
  done clear
  B)
  \[2400\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  C)
  \[1800\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]      
  done clear
  D)
         \[1200\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
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• question_answer40) Which of the following is unipoler transistor?
  A)
   \[p-n-p\]transistor
  done clear
  B)
   \[n-p-n\]transistor
  done clear
  C)
   field effect transistor
  done clear
  D)
   point contact transistor
  done clear
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• question_answer41) If the length of a pendulum is made 9 times and mass of bob is made 4 times, then the value of time period becomes
  A)
  \[3\,\,T\]                                            
  done clear
  B)
  \[3/2\,\,T\]
  done clear
  C)
  \[4\,\,T\]                            
  done clear
  D)
         \[2\,\,T\]
  done clear
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• question_answer42) Two weights\[{{w}_{1}}\]and\[{{w}_{2}}\]are suspended to be the two strings on a frictionless pulley. When the pulled up with an acceleration\[g\]then the tension in the string is
  A)
  \[\frac{4{{w}_{1}}{{w}_{2}}}{{{w}_{1}}+{{w}_{2}}}\]                        
  done clear
  B)
  \[\frac{{{w}_{1}}{{w}_{2}}}{{{w}_{1}}+{{w}_{2}}}\]
  done clear
  C)
  \[\frac{2{{w}_{1}}{{w}_{2}}}{{{w}_{1}}+{{w}_{2}}}\]        
  done clear
  D)
         \[\frac{{{w}_{1}}+{{w}_{2}}}{2}\]
  done clear
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• question_answer43) An observer loop at a tree of height 15 m with a telescope of magnifying power 10. To him the tree appears
  A)
   10 times taller                  
  done clear
  B)
   15 times taller
  done clear
  C)
   10 times nearer 
  done clear
  D)
        15 times nearer
  done clear
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• question_answer44) An inductor is connected to a battery through\[a\]switch induced emf is a when the switch is pressed and\[{{e}_{2}}\]when the switch is opened. Then
  A)
  \[{{e}_{1}}={{e}_{2}}\]                  
  done clear
  B)
  \[{{e}_{1}}>{{e}_{2}}\]
  done clear
  C)
  \[{{e}_{1}}<{{e}_{2}}\]  
  done clear
  D)
         \[{{e}_{1}}>/<{{e}_{2}}\]
  done clear
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• question_answer45) The speed of a wave on a string is\[150\text{ }m/s\]when the tension is\[120N\]. The percentage increase in the tension in order to raise the wave speed by\[20%\] is
  A)
  \[44%\]                               
  done clear
  B)
  \[40%\]
  done clear
  C)
  \[20%\]               
  done clear
  D)
         \[10%\]
  done clear
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• question_answer46) The energy supplied to Kolkata by the state electricity board during an average November week day was\[40GWh\]. If this energy could be obtained by the conservation of matter, how much mass would have to be annihilated?
  A)
  \[1.6\,\,g\]
  done clear
  B)
                         \[2.2\,\,g\]
  done clear
  C)
  \[4.0\,\,g\]                         
  done clear
  D)
  \[1.6\,\,g\]
  done clear
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• question_answer47) A simple pendulum has time period\[{{T}_{1}}\]. The point of suspension is now moved upward according to the relation \[y=k{{t}^{2}}(k=1m{{s}^{2}})\]where\[y\]is the vertical displacement. The time period now become\[{{T}_{2}}.\] The ratio of\[\frac{T_{1}^{2}}{T_{2}^{2}}\]is\[g=10\,\,m/{{s}^{2}}\]
  A)
  \[6/5\] 
  done clear
  B)
                         \[5/6\]
  done clear
  C)
  \[1\]                     
  done clear
  D)
         \[4/5\]
  done clear
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• question_answer48) An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius\[r\]. The coulomb force F between the two is
  A)
  \[k\frac{{{e}^{2}}}{{{r}^{3}}}r\]                 
  done clear
  B)
  \[-k\frac{{{e}^{2}}}{{{r}^{3}}}r\]
  done clear
  C)
  \[k\frac{{{e}^{2}}}{{{r}^{2}}}r\] 
  done clear
  D)
         \[-k\frac{{{e}^{2}}}{{{r}^{2}}}r\]
  done clear
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• question_answer49) A charge\[q\]is located at the centre of a cube. The electric flux through any face is
  A)
  \[\frac{\pi \,\,q}{6(4\pi \,\,{{\varepsilon }_{0}})}\]                           
  done clear
  B)
  \[\frac{q}{6(4\pi \,\,{{\varepsilon }_{0}})}\]
  done clear
  C)
  \[\frac{2\,\,\pi \,\,q}{6(4\pi \,\,{{\varepsilon }_{0}})}\]  
  done clear
  D)
         \[\frac{4\,\,\pi \,\,q}{6(4\pi \,\,{{\varepsilon }_{0}})}\]
  done clear
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• question_answer50) In the Boolean Algebra\[\mathbf{A}\cdot \mathbf{B}\]is same
  A)
  \[\mathbf{A+B}\]                           
  done clear
  B)
  \[\mathbf{A}\cdot \mathbf{B}\]
  done clear
  C)
  \[\mathbf{A}-\mathbf{B}\]        
  done clear
  D)
         \[A+B\]
  done clear
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• question_answer51) When a force\[{{F}_{1}}\]acts on a particle, frequency is \[6Hz\]and when a force\[{{F}_{2}}\]acts, frequency is\[8Hz\]. What is the frequency when both the forces act simultaneously in same direction?
  A)
  \[12Hz\]                              
  done clear
  B)
  \[25Hz\]
  done clear
  C)
  \[10Hz\]                              
  done clear
  D)
  \[5Hz\]
  done clear
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• question_answer52) For a particle executing simple harmonic motion, the kinetic energy \[k\] is given by\[k={{k}_{0}}{{\cos }^{2}}\omega t\]. The maximum value of potential energy is
  A)
  \[{{k}_{0}}\]                                      
  done clear
  B)
   zero
  done clear
  C)
  \[{{k}_{0}}/2\]  
  done clear
  D)
          not obtainable
  done clear
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• question_answer53) A train of \[150m\] length is going towards north direction at a speed of\[10\text{ }m/s\]. A parrot flies at a speed of \[5m/s\] towards south direction parallel to the railway track, the time taken by the parrot to cross the train is equal to
  A)
  \[12s\]                                 
  done clear
  B)
  \[8s\]
  done clear
  C)
  \[15s\]                 
  done clear
  D)
         \[10s\]
  done clear
  View Answer play_arrow

• question_answer54) Ice starts freezing in a lake with water at\[{{0}^{o}}C\] when the atmospheric temperature is\[-{{10}^{o}}C\]. If the time taken for \[1cm\] of ice to be formed is 12 min, the time taken for the thickness of the ice to change from \[1\] to \[2cm\] will be
  A)
   12 min
  done clear
  B)
   less than 12 min
  done clear
  C)
   more than 12 min but less than 24 min
  done clear
  D)
   more than 24 min
  done clear
  View Answer play_arrow

• question_answer55) The wavelength of the\[{{k}_{a}}\]line for an element of atomic number\[43\]is\[\lambda \]. Then the wavelength of the\[{{K}_{a}}\]line for an element of atomic number \[29\]is
  A)
  \[\left( \frac{43}{29} \right)\lambda \]                  
  done clear
  B)
  \[\left( \frac{42}{28} \right)\lambda \]
  done clear
  C)
  \[\left( \frac{9}{4} \right)\lambda \]       
  done clear
  D)
         \[\left( \frac{4}{9} \right)\lambda \]
  done clear
  View Answer play_arrow

• question_answer56) The ratio of the speed of an object to the speed of its real image of magnification\[m\]of a convex mirror is
  A)
  \[-\frac{1}{{{m}^{2}}}\]                
  done clear
  B)
  \[{{m}^{2}}\]
  done clear
  C)
  \[-m\]                                  
  done clear
  D)
  \[\frac{1}{m}\]
  done clear
  View Answer play_arrow

• question_answer57) The maximum current that flow. in the fuse wire before it blows out, varies with the radius\[r\]as
  A)
  \[{{r}^{3/2}}\]                                   
  done clear
  B)
  \[r\]
  done clear
  C)
  \[{{r}^{2/3}}\]                   
  done clear
  D)
         \[{{r}^{1/2}}\]
  done clear
  View Answer play_arrow

• question_answer58) A diatomic gas is heated at certain pressure. What fraction of the heat energy is used to increase the internal energy?
  A)
  \[3/5\]                                 
  done clear
  B)
  \[3/7\]
  done clear
  C)
  \[5/7\]                 
  done clear
  D)
         \[5/9\] 
  done clear
  View Answer play_arrow

• question_answer59) In interference pattern, the energy is
  A)
   created at the minimum
  done clear
  B)
   destroyed at the minimum
  done clear
  C)
   conserved but redistributed
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer60) A red flower kept in green light will appear
  A)
   red                       
  done clear
  B)
   yellow
  done clear
  C)
   black                 
  done clear
  D)
          white
  done clear
  View Answer play_arrow

• question_answer61) \[0.01M\]solution of\[KCl\]and\[CaC{{l}_{2}}\]are prepared in water. The freezing point of\[KCl\]is found to be\[-{{2}^{o}}C\]. What is the freezing point of\[CaC{{l}_{2}}\]to be completely ionised?
  A)
  \[-{{3}^{o}}C\]
  done clear
  B)
  \[+{{3}^{o}}C\]
  done clear
  C)
  \[-{{2}^{o}}C\]  
  done clear
  D)
         \[-{{4}^{o}}C\]
  done clear
  View Answer play_arrow

• question_answer62) \[1mol\,\,He\]and\[3\,\,mol\,\,{{N}_{2}}\]exert a pressure of\[16\,\,atm\]. Due to a hole in the vessel in which mixture in placed, mixture leaks out. What is the composition of mixture effusing out initially?
  A)
  \[0.22\]               
  done clear
  B)
         \[0.44\]    
  done clear
  C)
  \[~0.66\]  
  done clear
  D)
         \[0.88\]
  done clear
  View Answer play_arrow

• question_answer63) What are the four quantum numbers of 19th electron in\[Sc(Z=21)\]?
  A)
  \[n=4,\,\,l=0,\,\,m=0,\,\,{{m}_{s}}=+\frac{1}{2}\]
  done clear
  B)
  \[n=3,\,\,l=1,\,\,m=-1,\,\,{{m}_{s}}=+\frac{1}{2}\]
  done clear
  C)
  \[n=4,\,\,l=1,\,\,m=\pm 1,\,\,{{m}_{s}}=-\frac{1}{2}\]
  done clear
  D)
  \[n=3,\,\,l=2,\,\,m=\pm 2,\,\,{{m}_{s}}=-\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer64) \[(A)+\]tap water\[\to \]white turbidity soluble in\[aq.N{{H}_{3}}\]                 \[(A)\xrightarrow{\Delta }residue(B)+N{{O}_{2}}+{{O}_{2}}\] Aqueous\[(A)\]gives brown ring on adding\[FeS{{O}_{4}}\]and\[Conc.{{H}_{2}}S{{O}_{4}}\].Identify\[(A)\].
  A)
  \[NaN{{O}_{3}}\]            
  done clear
  B)
         \[AgN{{O}_{3}}\]
  done clear
  C)
  \[NaN{{O}_{2}}\]            
  done clear
  D)
         \[AgN{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer65) Each of the following compounds has been dissolved in water to make its\[0.001\,\,M\]solution. Rank them in order of their increasing conductivity in solution (assume\[100%\]ionisation in each case)
  A)
  \[c<d<a<b\]
  done clear
  B)
  \[c<d<b<a\]
  done clear
  C)
  \[a<b<c<d\]
  done clear
  D)
  \[d<c<a<b\]
  done clear
  View Answer play_arrow

• question_answer66) Metal carbonyls can have formula\[M{{(CO)}_{x}}\], where\[x=\]number of\[CO\]units coordinated to metal\[M\]. What is the formula of the carbonyl of\[Fe(26)\]if\[EAN\]of Fe in metal carbonyl is 36?
  A)
  2                             
  done clear
  B)
  3
  done clear
  C)
  4                       
  done clear
  D)
         5
  done clear
  View Answer play_arrow

• question_answer67) Following method of extracting\[Zn\]is based on thermodynamics                 \[A:2ZnS+3{{O}_{2}}\xrightarrow{{}}2ZnO+2S{{O}_{2}}\]                 \[B:ZnO+C\xrightarrow{{}}Zn+CO\] If\[\Delta G_{f}^{\text{o}}\](standard free energies of formation , in\[kJmo{{l}^{-1}}\])of\[ZnS=-205.4\], \[ZnO=-318.0,\,\,S{{O}_{2}}=-300.4\]and of\[CO=-137.3\] Free energy changes of the above reaction\[A\]and\[B\](respectively) will be
  A)
  \[-826.4\,\,kJ,\,\,+180.9\,\,kJ\]
  done clear
  B)
  \[+826.4\,\,kJ,\,\,-180.9\,\,kJ\]
  done clear
  C)
  \[-826.4\,\,kJ,\,\,-180.9\,\,kJ\]
  done clear
  D)
  \[+826.4\,\,kJ,\,\,+180.9\,\,kJ\]
  done clear
  View Answer play_arrow

• question_answer68) The final step for the extraction of copper form copper pyrites in Bessemer converter involves the reaction.
  A)
  \[C{{u}_{2}}S+2FeO\xrightarrow{{}}2Cu+2Fe+S{{O}_{2}}\]
  done clear
  B)
  \[C{{u}_{2}}S+2CuO\xrightarrow{{}}6Cu+S{{O}_{2}}\]
  done clear
  C)
  \[4C{{u}_{2}}O+FeS\xrightarrow{{}}8Cu+2FeS{{O}_{4}}\]
  done clear
  D)
  \[2C{{u}_{2}}O+FeS\xrightarrow{{}}4Cu+Fe+S{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer69) If\[C{{O}_{2}}(g)\]under pressure is passed into \[N{{a}_{2}}Cr{{O}_{4}}(aq)\], yellow colour solution changes to
  A)
  blue
  done clear
  B)
  green
  done clear
  C)
  red
  done clear
  D)
  orange-red
  done clear
  View Answer play_arrow

• question_answer70) Select incorrect statements.
  A)
  Ionisation energies of Sot-elements are greater than those of 3d and 4of elements.
  done clear
  B)
  Cu (I) is diamagnetic while Cu (II) is paramagnetic.
  done clear
  C)
  \[{{[Ti{{({{H}_{2}}O)}_{6}}]}^{3+}}\]is coloured while\[{{[Sc{{({{H}_{2}}O)}_{6}}]}^{+}}\]is colourless.
  done clear
  D)
  Transition elements cannot form complexes.
  done clear
  View Answer play_arrow

• question_answer71) \[Cl{{O}_{2}}\], is an/a
  A)
  anhydride of\[HCl{{O}_{2}}\]
  done clear
  B)
  anhydride of\[HCl{{O}_{3}}\]
  done clear
  C)
  mixed anhydride of\[HCl{{O}_{2}}\]and\[HCl{{O}_{3}}\]
  done clear
  D)
  mixed anhydride of\[HCl{{O}_{3}}\]and\[HCl{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer72) Based on the following reaction identify alkene\[A\] \[A\xrightarrow{{{O}_{3}}/({{H}_{2}}O)/Zn}2HCHO+\underset{\begin{smallmatrix}  | \\  CHO \end{smallmatrix}}{\mathop{CHO}}\,\]
  A)
  \[C{{H}_{3}}-\overset{\begin{smallmatrix}  C{{H}_{2}} \\  || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\]
  done clear
  B)
  \[C{{H}_{2}}=CH-CH=C{{H}_{2}}\]
  done clear
  C)
  \[C{{H}_{3}}-CH=CH-C{{H}_{3}}\]
  done clear
  D)
  \[C{{H}_{3}}-C{{H}_{2}}-CH=C{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer73) Which one of the following statements about NO is wrong?
  A)
  NO is an odd electron molecule
  done clear
  B)
  It is a free radical and highly reactive
  done clear
  C)
  It readily forms complexes with transition metal ions
  done clear
  D)
  It can be prepared by heating\[N{{H}_{4}}N{{O}_{3}}\]at\[{{250}^{o}}C\]
  done clear
  View Answer play_arrow

• question_answer74) \[K{{O}_{2}}\]is used in life supports in space crafts, submarines  and  emergency  breathing apparatus since it
  A)
  absorbs\[C{{O}_{2}}\]
  done clear
  B)
  release\[{{O}_{2}}\]
  done clear
  C)
  releases\[C{{O}_{2}}\]
  done clear
  D)
  absorbs\[C{{O}_{2}}\]and releases\[{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer75) Calculate second electron affinity of oxygen for the process, \[{{O}^{-}}(g)+{{e}^{-}}(g)\to {{O}^{2-}}(g)\] by using the following data

  (i) Heat of sublimation of \[Mg(s)=+147.7\,\,kJ\,\,mo{{l}^{-1}}\]

  (ii) lionisation energy of\[Mg(g)\]to form \[M{{g}^{2+}}(g)=2189.0\,\,kJ\,\,mo{{l}^{-1}}\]

  (iii) Bond dissociation energy for \[{{O}_{2}}=498.4\,\,kJ\,\,mo{{l}^{-1}}\]

  (iv) First electron affinity of \[O(g)=-141.0\,\,kJ\,\,mo{{l}^{-1}}\]

  (v) Heat formation of \[MgO=-601.7\,\,kJ\,\,mol-1\]

  (vi) Lattice energy of \[MgO=-3791.0\,\,kJ\,\,mo{{l}^{-1}}\]

  A)
  \[235.6\,\,kJ\,\,mo{{l}^{-1}}\]
  done clear
  B)
  \[468.7\,\,kJ\,\,mo{{l}^{-1}}\]
  done clear
  C)
  \[544.4\,\,kJ\,\,mo{{l}^{-1}}\]
  done clear
  D)
  \[744.4\,\,kJ\,\,mo{{l}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer76) \[1g\]of fuming\[{{H}_{2}}S{{O}_{4}}\](oleum: It is a mixture of concentrated\[{{H}_{2}}S{{O}_{4}}\]saturated with\[S{{O}_{3}}\]and having formula\[{{H}_{2}}{{S}_{2}}{{O}_{7}}\]) is diluted with\[{{H}_{2}}O\]. This solution is completely neutralised by \[26.7mL\]of\[0.8\text{ }N\text{ }NaOH\]. Find the percentage of free\[S{{O}_{3}}\]in the oleum.
  A)
  20.73%                 
  done clear
  B)
   43.80%
  done clear
  C)
  79.27%            
  done clear
  D)
         60.74%
  done clear
  View Answer play_arrow

• question_answer77) \[_{7}^{14}N+_{0}^{1}n\to _{6}^{14}C+_{1}^{1}H\]is written as
  A)
  \[_{7}^{14}N(n,\,\,e)_{1}^{1}H\]                             
  done clear
  B)
  \[_{7}^{14}N(p,\,\,n)_{6}^{14}C\]
  done clear
  C)
  \[_{7}^{14}N(n,\,\,p)_{6}^{14}C\]
  done clear
  D)
         \[_{6}^{14}C(p,\,\,n)_{7}^{14}N\]
  done clear
  View Answer play_arrow

• question_answer78) Photographic paper is developed with alkaline hydroquinone \[2AgBr(s)+2\,OH_{+}^{-}\]                                                 \[2\,Ag(s)+2{{H}_{2}}O(l)\,+2B{{r}^{-}}\,(aq)\]                                                 Select correct statement.
  A)
  Hydroquinone is the oxidant
  done clear
  B)
  \[A{{g}^{+}}\]is the oxidant
  done clear
  C)
  \[B{{r}^{-}}\]is the oxidant
  done clear
  D)
  \[A{{g}^{+}}\] is the reductant
  done clear
  View Answer play_arrow

• question_answer79) Which has maximum ionisation potential?
  A)
  \[N\]                                    
  done clear
  B)
  \[O\]
  done clear
  C)
  \[{{O}^{+}}\]                     
  done clear
  D)
         \[Na\]
  done clear
  View Answer play_arrow

• question_answer80) Electronic configuration of\[Gd(64)\]is written as
  A)
  \[[Xe]4{{f}^{7}}5{{d}^{1}}6{{s}^{2}}\]     
  done clear
  B)
  \[[Xe]4{{f}^{8}}6{{s}^{2}}\]
  done clear
  C)
  \[[Xe]4{{f}^{9}}6{{s}^{1}}\]         
  done clear
  D)
         \[[Xe]4{{f}^{10}}\]
  done clear
  View Answer play_arrow

• question_answer81) Screening effect is not observed in
  A)
  \[H{{e}^{+}}\]                                   
  done clear
  B)
  \[L{{i}^{2+}}\]
  done clear
  C)
  \[B{{e}^{3+}}\]                 
  done clear
  D)
         all cases
  done clear
  View Answer play_arrow

• question_answer82) Which one of the following isomers of\[PBrC{{l}_{3}}\]have no dipole moment?
  A)
  Only I                   
  done clear
  B)
  I and II
  done clear
  C)
  II and III               
  done clear
  D)
         Only III
  done clear
  View Answer play_arrow

• question_answer83) The type of hybridisation of P atom in\[PC{{l}_{5}}\], \[PCl_{4}^{+}\]and\[PCl_{6}^{-}\]is (respectively)
  A)
  \[s{{p}^{3}},\,\,s{{p}^{3}}d,\,\,s{{p}^{3}}{{d}^{2}}\]        
  done clear
  B)
  \[s{{p}^{3}}d,\,\,s{{p}^{3}},\,\,s{{p}^{2}}{{d}^{2}}\]
  done clear
  C)
  \[s{{p}^{3}},\,\,s{{p}^{3}}{{d}^{2}},\,\,s{{p}^{3}}\]
  done clear
  D)
         \[s{{p}^{3}}{{d}^{2}},\,\,s{{p}^{3}},\,\,s{{p}^{3}}d\]
  done clear
  View Answer play_arrow

• question_answer84) Which has a maximum repulsive interaction?
  A)
  \[bp-bp\]                           
  done clear
  B)
  \[lp-lp\]
  done clear
  C)
  \[lp-bp\]             
  done clear
  D)
         Equal
  done clear
  View Answer play_arrow

• question_answer85) Calculate the electronegativity of chlorine from bond energy of\[Cl-F\]bond\[(61\,\,kcal\,\,mo{{l}^{-1}})\]\[(38\,\,kcal\,\,mo{{l}^{-1}})\]and\[Cl-Cl\]bond\[(58\,\,kcal\,\,mo{{l}^{-1}})\]and electronegativity of fluorine\[4.0\,\,eV\]
  A)
  \[1.42\,\,eV\]                   
  done clear
  B)
  \[1.89\,\,eV\]
  done clear
  C)
  \[2.67\,\,eV\]   
  done clear
  D)
         \[3.22\,\,eV\]
  done clear
  View Answer play_arrow

• question_answer86) A sample of ammonium phosphate\[{{(N{{H}_{4}})}_{3}}P{{O}_{4}}\]contains\[3.18\,\,moles\]of\[H-\]atom. The number of\[moles\]of\[O-\]atom in the sample is
  A)
  \[0.265\]                             
  done clear
  B)
  \[0.795\]
  done clear
  C)
  \[1.06\]               
  done clear
  D)
         \[3.18\]
  done clear
  View Answer play_arrow

• question_answer87) In the following compound keto group is at position
  A)
  1                             
  done clear
  B)
  2        
  done clear
  C)
  3             
  done clear
  D)
         4
  done clear
  View Answer play_arrow

• question_answer88) 

  I. Formation of A has proceeded with racemisation.

  II. Formation of B has proceeded with inversion.

  Select the correct statement.
  A)
  I and It    
  done clear
  B)
  Only I
  done clear
  C)
  Only III              
  done clear
  D)
         None of these
  done clear
  View Answer play_arrow

• question_answer89)  In this reaction, we get types of substituted alcohols (stereoisomers not considered)
  A)
  one                       
  done clear
  B)
  two
  done clear
  C)
  three   
  done clear
  D)
         four
  done clear
  View Answer play_arrow

• question_answer90) Electrophile\[NO_{2}^{\oplus }\]attacks the following In which cases,\[N{{O}_{2}}\]will be at meta position?
  A)
  II and IV              
  done clear
  B)
  I, II and III
  done clear
  C)
  II and III          
  done clear
  D)
  Only I
  done clear
  View Answer play_arrow

• question_answer91) The reaction of 1- bromo-3- chlorocyclobutane with metallic sodium in dioxane gives
  A)
   
  done clear
  B)
  
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer92) \[C{{H}_{3}}CH=C{{H}_{2}}\xrightarrow[{{H}_{2}}{{O}_{2}}/O{{H}^{-}}]{NaB{{D}_{4}}}\]Product\[X\],\[X\]is
  A)
  \[C{{H}_{3}}\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{C}}\,HC{{H}_{2}}D\]            
  done clear
  B)
  \[C{{H}_{3}}\underset{\begin{smallmatrix}  | \\  D \end{smallmatrix}}{\mathop{C}}\,HC{{H}_{2}}OH\]
  done clear
  C)
  \[C{{H}_{3}}\underset{\begin{smallmatrix}  | \\  CO \end{smallmatrix}}{\mathop{C}}\,HC{{H}_{3}}\]               
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer93) End product of following sequence of reaction is
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer94) 
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer95) 
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer96)  A can be
  A)
  \[C{{H}_{3}}\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{C}}\,HC{{H}_{3}}\]  
  done clear
  B)
         \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}OH\]
  done clear
  C)
  Both (a) and (b) 
  done clear
  D)
      None of these
  done clear
  View Answer play_arrow

• question_answer97) \[2C{{H}_{3}}\overset{\begin{smallmatrix}  O \\  || \end{smallmatrix}}{\mathop{C}}\,O{{C}_{2}}{{H}_{5}}\xrightarrow{{{C}_{2}}{{H}_{5}}ONa}A\], A is formed by Claisen condensation. Which is/are true about A?
  A)
  A forms oxime
  done clear
  B)
  A shows tautomerism
  done clear
  C)
  A shows iodoform test
  done clear
  D)
  All of the above are true
  done clear
  View Answer play_arrow

• question_answer98) When a nucelophile encounters a ketone the site of attack is
  A)
  the carbon atom of the carbonyl
  done clear
  B)
  the oxygen atom of the carbonyl
  done clear
  C)
  Both the carbon and oxygen atoms with equal probability
  done clear
  D)
  no attack occurs- ketones do not react with nucteophiles
  done clear
  View Answer play_arrow

• question_answer99)  A is
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer100) The structure of\[N-\]propyl acetamide is
  A)
  \[C{{H}_{3}}C{{H}_{2}}CONHC{{H}_{3}}\]
  done clear
  B)
  \[C{{H}_{3}}CON{{(C{{H}_{2}}C{{H}_{2}}C{{H}_{3}})}_{2}}\]
  done clear
  C)
  \[C{{H}_{3}}CONHC{{H}_{2}}C{{H}_{2}}C{{H}_{3}}\] 
  done clear
  D)
  \[C{{H}_{3}}CH=NC{{H}_{2}}C{{H}_{2}}C{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer101) Which\[A\]gives red colour in the reaction                 \[A\xrightarrow[(ii)\,\,NaOH]{(i)\,\,HN{{O}_{2}}}red\,\,colour\]
  A)
  \[C{{H}_{3}}C{{H}_{2}}N{{O}_{2}}\]
  done clear
  B)
    \[{{(C{{H}_{3}})}_{2}}-CHN{{O}_{2}}\]
  done clear
  C)
    \[{{(C{{H}_{3}})}_{3}}CN{{O}_{2}}\] 
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer102) Alanine forms Zwitter ion which exists as
  A)
  \[C{{H}_{3}}\overset{\begin{smallmatrix}  \oplus N{{H}_{3}} \\  | \end{smallmatrix}}{\mathop{C}}\,HCO{{O}^{-}}\]in acidic medium
  done clear
  B)
  \[C{{H}_{3}}\overset{\begin{smallmatrix}  \oplus N{{H}_{3}} \\  | \end{smallmatrix}}{\mathop{C}}\,HCOOH\]in a medium of\[pH=4\]
  done clear
  C)
  \[C{{H}_{3}}\underset{\begin{smallmatrix}  | \\  N{{H}_{2}} \end{smallmatrix}}{\mathop{C}}\,HCO{{O}^{-}}\]in a medium of\[pH=1\]
  done clear
  D)
  \[C{{H}_{3}}\underset{\begin{smallmatrix}  | \\  N{{H}_{2}} \end{smallmatrix}}{\mathop{C}}\,HCO{{O}^{-}}\]in a medium of\[pH=2\]
  done clear
  View Answer play_arrow

• question_answer103) Which gives only glucose by hydrolysis?
  A)
  Sucrose               
  done clear
  B)
  Raffinose
  done clear
  C)
  Maltose             
  done clear
  D)
         Galactose
  done clear
  View Answer play_arrow

• question_answer104) Which polysaccharide has a-glycoside linkage?
  A)
  Amylose          
  done clear
  B)
  Amylopection
  done clear
  C)
  Cellulose           
  done clear
  D)
  All of these
  done clear
  View Answer play_arrow

• question_answer105) Product (mixture) Mixture can be of
  A)
  
  done clear
  B)
   
  done clear
  C)
  Both (a) and (b) 
  done clear
  D)
      None of these
  done clear
  View Answer play_arrow

• question_answer106) \[p-\]cresol reacts with chloroform in alkaline medium to give the compound\[A\]which adds hydrogen cyanide to form the compound\[B\]. The latter on acidic hydrolysis gives chiral carboxylic acid\[C\]which is
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer107)  Choose the correct statement.
  A)
  A is more volatile than B
  done clear
  B)
  B is more volatile than A
  done clear
  C)
  A is formed more rapidly at a higher temperature
  done clear
  D)
  A is formed in higher yield at a low temperature
  done clear
  View Answer play_arrow

• question_answer108) Sodium extract of thioruea will be ...... colour in Lassaignes test.
  A)
  blue      
  done clear
  B)
         red     
  done clear
  C)
  yellow                  
  done clear
  D)
         green
  done clear
  View Answer play_arrow

• question_answer109) Consider the following redox reaction occurring in acidic medium The unknown standard reduction potential is
  A)
  \[-1.6\,\,V\]      
  done clear
  B)
         \[1.6\,\,V\]
  done clear
  C)
  \[-1.52\,\,V\]    
  done clear
  D)
         \[1.52\ \,V\]
  done clear
  View Answer play_arrow

• question_answer110) The spontaneous reaction that takes place in this cell is
  A)
  \[Zn+Ni\xrightarrow{{}}Z{{n}^{2+}}+N{{i}^{2+}}\]
  done clear
  B)
  \[Zn+N{{i}^{2+}}\xrightarrow{{}}Z{{n}^{2+}}+Ni\]
  done clear
  C)
  \[Ni+Z{{n}^{2+}}\xrightarrow{{}}N{{i}^{2+}}+Zn\]
  done clear
  D)
  \[N{{i}^{2+}}+2K\xrightarrow{{}}2{{K}^{+}}+Ni\]
  done clear
  View Answer play_arrow

• question_answer111) \[A\,\,0.15\]molal solution of\[{{K}_{4}}[Fe{{(CN)}_{6}}]\]in water freezes at\[-{{0.65}^{o}}C\]. What is the apparent percentage of dissociation of this compound in this solution? (\[{{K}_{f}}\]for water\[={{1.86}^{o}}C\,\,mo{{l}^{-1}}\])
  A)
  0.33                 
  done clear
  B)
         0.52
  done clear
  C)
  0.63                  
  done clear
  D)
         0.79
  done clear
  View Answer play_arrow

• question_answer112) \[10g\]of non-volatile solute is dissolved in\[180g\]of\[{{H}_{2}}O\]resulting in lowering of vapour pressure by\[0.5%\]. Determine the boiling point of solution if\[{{K}_{b}}\]of water is\[0.52\,\,K\,\,kg\,\,mo{{l}^{-1}}\].
  A)
  \[{{100.01}^{o}}C\]         
  done clear
  B)
         \[{{100.15}^{o}}C\]
  done clear
  C)
  \[{{100.23}^{o}}C\]         
  done clear
  D)
         \[{{100.32}^{o}}C\]
  done clear
  View Answer play_arrow

• question_answer113) Which one of the following reaction energy diagrams best represents a reaction in the reverse direction; that it is the most endothermic?
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer114) A certain reaction rate increases 1000 folds in the presence of a catalyst at\[{{27}^{o}}C\]. The activation energy of the original pathway is\[98\,\,kJ/mol\]. What is the activation energy of the new pathway?
  A)
  \[80.77\,\,kJ\]
  done clear
  B)
                         \[56.38\,\,kJ\]
  done clear
  C)
  \[24.67\,\,kJ\]  
  done clear
  D)
         \[90.43\,\,kJ\]
  done clear
  View Answer play_arrow

• question_answer115) Consider the following reaction in an aqueous solution                 \[{{I}^{-}}(aq)+C{{l}^{-}}\to I{{O}^{-}}(aq)+C{{l}^{-}}(aq)\] and the following initial concentration and initial rate data for this reaction.

  Exp. No	\[[{{l}^{-}}]M\]	\[[O{{C}^{-}}]M\]	Initial rate\[M{{s}^{-1}}\]
  1. 2. 3. 4.	0.1000 0.2000 0.3000 0.3000	0.0500 0.0500 0.0100 0.0200	\[3.05\times {{10}^{-4}}\] \[6.10\times {{10}^{-4}}\] \[1.83\times {{10}^{-4}}\] \[3.66\times {{10}^{-4}}\]

  Which of the following is the correct rate law for this reaction?
  A)
   Rate\[=k{{[{{l}^{-}}]}^{2}}[OC{{l}^{-}}]\]
  done clear
  B)
  Rate\[=k[OC{{l}^{-}}]\]
  done clear
  C)
  Rate\[=k{{[{{l}^{-}}]}^{2}}\]
  done clear
  D)
  Rate\[=k[{{l}^{-}}][OC{{l}^{-}}]\]
  done clear
  View Answer play_arrow

• question_answer116) Determine the\[pH\]of\[0.024\,\,M\]hydroxylamine hydrochloride solution. (\[{{k}_{b}}\]of hydroxyl amine is\[{{10}^{-8}}\]).
  A)
  8.4                      
  done clear
  B)
         6.2
  done clear
  C)
  3.8                     
  done clear
  D)
         5.6
  done clear
  View Answer play_arrow

• question_answer117) Determine solubility of\[AgBr\]in a\[0.1\,\,M\,\,KCN\]solution.\[[{{K}_{f}}of{{[Ag{{(CN)}_{2}}]}^{-}}=5.6\times {{10}^{8}}\];\[{{K}_{sp}}\]of\[AgBr=7.7\times {{10}^{-13}}]\]
  A)
  \[2\times {{10}^{3}}M\]               
  done clear
  B)
         \[4\times {{10}^{-6}}M\]
  done clear
  C)
  \[2\times {{10}^{-6}}M\]             
  done clear
  D)
         \[4\times {{10}^{-3}}M\]
  done clear
  View Answer play_arrow

• question_answer118) Which of the following forms cationic micelles above a certain minimum concentration?
  A)
  Sodium dodecylsulphate
  done clear
  B)
  Sodium acetate
  done clear
  C)
  Urea
  done clear
  D)
  Cetyl trimethyl ammonium bromide
  done clear
  View Answer play_arrow

• question_answer119) Determine the relative size of\[Cs\]atom compared to a\[Li\]atom, if their densities are \[1.87g/cc\] and\[0.53g/cc\] respectively
  A)
  \[r(Cs)=1.753r(Li)\]
  done clear
  B)
  \[r(Cs)=1.936r(Li)\]
  done clear
  C)
  \[r(Cs)=2.753r(Li)\]
  done clear
  D)
  \[r(Cs)=2.936r(Li)\]
  done clear
  View Answer play_arrow

• question_answer120) Nylon threads are made of
  A)
  polyvinyl polymer
  done clear
  B)
  Polyester polymer
  done clear
  C)
  polyamide polymer
  done clear
  D)
  polyethylene polymer
  done clear
  View Answer play_arrow

• question_answer121) The least positive integer\[n\], for which\[n!<{{\left( \frac{n+1}{2} \right)}^{n}}\], is
  A)
   1                                            
  done clear
  B)
   2            
  done clear
  C)
   3                            
  done clear
  D)
          4
  done clear
  View Answer play_arrow

• question_answer122) The sum to n terms of the series: \[\frac{1}{1+{{1}^{2}}+{{1}^{4}}}+\frac{2}{1+{{2}^{2}}+{{2}^{4}}}+\frac{3}{1+{{3}^{2}}+{{3}^{4}}}+...\]is
  A)
  \[\frac{{{n}^{2}}+1}{2({{n}^{2}}+n+1)}\]                               
  done clear
  B)
  \[\frac{{{n}^{2}}+n}{({{n}^{2}}+n+1)}\]
  done clear
  C)
  \[\frac{{{n}^{2}}+n}{2({{n}^{2}}+n+1)}\]
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer123) The sum of\[n\]terms of the series\[+1+\frac{4}{5}+\frac{7}{{{5}^{2}}}\]\[+\frac{10}{{{5}^{3}}}+...\]is
  A)
  \[\frac{5}{4}+\frac{15}{16}\left( 1-\frac{1}{{{5}^{n-1}}} \right)-\frac{(3n-2)}{4\cdot {{5}^{n-1}}}\]
  done clear
  B)
  \[\frac{5}{4}+\frac{1}{16}\left( 1-\frac{1}{{{5}^{n-1}}} \right)-\frac{3n}{4\cdot {{5}^{n-1}}}\]
  done clear
  C)
  \[\left( 1-\frac{1}{{{5}^{n-1}}} \right)-\frac{(3n+2)}{4\cdot {{5}^{n-1}}}\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer124) Sum of the series to \[n\] terms\[5+7+13+31+85+...\]is
  A)
  \[{{3}^{n}}+8n+1\]
  done clear
  B)
  \[\frac{1}{2}[{{3}^{n}}+8n-1]\]
  done clear
  C)
  \[\frac{1}{2}({{3}^{n}}+8n+1)\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer125) If\[b<0\], then the roots\[{{x}_{1}}\]and\[{{x}_{2}}\]of the equation \[2{{x}^{2}}+6x+b=0\], satisfy the condition\[\left( \frac{{{x}_{1}}}{{{x}_{2}}} \right)+\left( \frac{{{x}_{2}}}{{{x}_{1}}} \right)<K\], where\[K\]is equal to
  A)
   2                                            
  done clear
  B)
   -2
  done clear
  C)
   0                            
  done clear
  D)
          4
  done clear
  View Answer play_arrow

• question_answer126) If the roots of the equation\[(a-1){{({{x}^{2}}+x+1)}^{2}}\]\[=(a+1)({{x}^{4}}+{{x}^{2}}+1)\]are real and distinct then the value of a\[\in \]
  A)
  \[(-\infty ,\,\,3]\]                            
  done clear
  B)
  \[(-\infty ,\,\,-2)\cup (2,\,\,\infty )\]
  done clear
  C)
  \[[-2,\,\,2]\]      
  done clear
  D)
         \[[-3,\,\,\infty )\]
  done clear
  View Answer play_arrow

• question_answer127) If the sum of two of the roots of\[{{x}^{3}}+p{{x}^{2}}+qx+r=0\]is zero, then\[pq=\]
  A)
  \[-r\]                                    
  done clear
  B)
  \[2r\]
  done clear
  C)
  \[-2r\]                  
  done clear
  D)
         \[r\]
  done clear
  View Answer play_arrow

• question_answer128) If\[m\]parallel lines in a plane are intersected by a family of\[n\]parallel lines, then the number of parallelograms that can be formed is
  A)
  \[\frac{1}{4}mn(m-1)(n-1)\]       
  done clear
  B)
  \[\frac{1}{2}mn(m-1)(n-1)\]
  done clear
  C)
  \[\frac{1}{4}{{m}^{2}}{{n}^{2}}\]              
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer129) A person is permitted to select at least one and at most \[n\] coins from a collection\[(2n+1)\]distinct coins. If the total number of ways in which he can select coins is 255, then \[n\] equals
  A)
   4                                            
  done clear
  B)
   8
  done clear
  C)
   16                         
  done clear
  D)
          32
  done clear
  View Answer play_arrow

• question_answer130) The value of \[x\] in the expression\[{{(x+{{x}^{{{\log }_{10}}x}})}^{5}}\], if the third term in the expansion is 1,000,000, is
  A)
  \[10,\,\,{{10}^{-3/2}}\]                 
  done clear
  B)
  \[100\,\,or\,\,{{10}^{-3/2}}\]
  done clear
  C)
  \[10\,\,or\,\,{{10}^{-5/2}}\]        
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer131) \[\sum\limits_{k=0}^{10}{^{20}{{C}_{k}}}\]is equal to
  A)
  \[{{2}^{19}}+\frac{1}{2}\]\[^{20}{{C}_{10}}\]                      
  done clear
  B)
  \[{{2}^{19}}\]                    
  done clear
  C)
         \[^{20}{{C}_{10}}\]                         
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer132) If the point\[(a,\,\,a)\]are placed in between the lines\[|x+y|\,\,=4\]then
  A)
  \[|a|\,\,=2\]                     
  done clear
  B)
  \[|a|\,\,=3\]
  done clear
  C)
  \[|a|\,\,<2\]     
  done clear
  D)
         \[|a|\,\,<3\]
  done clear
  View Answer play_arrow

• question_answer133) The number of rational values of m for which the\[y-\]coordinate of the point of intersection of the lines\[3x+2y=10\]and\[x=my+2\]is an integer is
  A)
   2                                            
  done clear
  B)
   4
  done clear
  C)
   6                                            
  done clear
  D)
   8
  done clear
  View Answer play_arrow

• question_answer134) A straight line cuts intercepts from the axis of coordinates the sum of the reciprocals of which is a constant\[K\]. Then it always passes through a fixed point
  A)
  \[(K,\,\,K)\]                       
  done clear
  B)
  \[\left( \frac{1}{K},\,\,\frac{1}{K} \right)\]
  done clear
  C)
  \[(-K,\,\,-K)\]    
  done clear
  D)
         \[(K-1,\,\,K-1)\]
  done clear
  View Answer play_arrow

• question_answer135) If the line\[\frac{x}{a}+\frac{y}{b}=1\]moves in such a way that \[\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{c}^{2}}}\]where,\[c\]is a constant, then the locus of the foot of perpendicular from the origin on the straight line is
  A)
   Straight line            
  done clear
  B)
   Parabola
  done clear
  C)
   Ellipse                
  done clear
  D)
          Circle
  done clear
  View Answer play_arrow

• question_answer136) The pair of lines\[\sqrt{3}{{x}^{2}}-4xy+\sqrt{3}{{y}^{2}}=0\]are rotated about the origin by\[\frac{\pi }{6}\]in the anticlockwise sense. The equation of the pair in the new position is
  A)
  \[{{x}^{2}}-\sqrt{3}xy=0\]
  done clear
  B)
  \[xy-\sqrt{3}{{y}^{2}}=0\]
  done clear
  C)
  \[\sqrt{3}{{x}^{2}}-xy=0\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer137) The value of\[\underset{x\to 1}{\mathop{\lim }}\,\frac{\left[ \sum\limits_{K=1}^{100}{-{{x}^{K}}} \right]-100}{x-1}\]is
  A)
  \[-5050\]                             
  done clear
  B)
  \[0\]
  done clear
  C)
  \[5050\]                              
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer138) . The value of\[\underset{x\to \infty }{\mathop{\lim }}\,\left\{ \frac{x}{x+\frac{\sqrt[3]{x}}{x+\frac{\sqrt[3]{x}}{x+\sqrt[3]{x}}}...} \right\}\]is
  A)
   0                                            
  done clear
  B)
   1
  done clear
  C)
   2                            
  done clear
  D)
          1/2
  done clear
  View Answer play_arrow

• question_answer139) lf\[f(x)\]defined by\[f(x)=\left\{ \begin{matrix}    \frac{|{{x}^{2}}-x|}{{{x}^{2}}-x}, & x\ne 0,\,\,1  \\    1, & x=0  \\    -1, & x=1  \\ \end{matrix} \right.\]then\[f(x)\]is continuous for all
  A)
  \[x\]
  done clear
  B)
  \[x\]except at\[x=0\]
  done clear
  C)
  \[x\]except at\[x=1\]
  done clear
  D)
  \[x\]except at\[x=0\]and\[x=1\]
  done clear
  View Answer play_arrow

• question_answer140) Function\[f(x)\]is defined as follows \[f(x)=\left\{ \begin{matrix}    ax-b, & x\le 1  \\    3x, & 1<x<2  \\    b{{x}^{2}}-a, & x\ge 2  \\ \end{matrix} \right.\] lf\[f(x)\] is continuous at\[x=1\], but discontinuous at\[x=2\]then the locus of the point\[(a,\,\,b)\] is a straight line excluding the point where it cuts the line
  A)
  \[y=3\]                                
  done clear
  B)
  \[y=2\]
  done clear
  C)
  \[y=0\]                
  done clear
  D)
         \[y=1\]
  done clear
  View Answer play_arrow

• question_answer141) The maximum value of\[(\cos {{\alpha }_{1}})\cdot (\cos {{\alpha }_{2}})...(cos{{\alpha }_{n}})\]. Under the restrictions\[0\le {{\alpha }_{1}},\,\,{{\alpha }_{2}},...{{\alpha }_{n}}\le \frac{\pi }{2}\]and\[(\cot {{\alpha }_{1}})\cdot (cot{{\alpha }_{2}})...(\cot {{\alpha }_{n}})=1\]is
  A)
  \[\frac{1}{{{2}^{n/2}}}\]                                               
  done clear
  B)
  \[\frac{1}{{{2}^{n}}}\]
  done clear
  C)
  \[\frac{1}{2n}\]                
  done clear
  D)
         \[1\]
  done clear
  View Answer play_arrow

• question_answer142) The minimum value of the expression\[\sin \alpha +\sin \beta +\sin \gamma \], where\[\alpha ,\,\,\beta ,\,\,\gamma \]are real numbers satisfying\[\alpha +\beta +\gamma =\pi \]is
  A)
   positive                              
  done clear
  B)
   zero
  done clear
  C)
   negative        
  done clear
  D)
          -3
  done clear
  View Answer play_arrow

• question_answer143) If\[\theta \]the angle between the unit vectors\[\mathbf{a}\]and\[\mathbf{b}\], then\[\cos \frac{\theta }{2}\]is equal to
  A)
  \[\frac{1}{2}|\mathbf{a}-\mathbf{b}|\]                               
  done clear
  B)
  \[\frac{1}{2}|\mathbf{a}+\mathbf{b}|\]
  done clear
  C)
  \[\frac{|\mathbf{a}-\mathbf{b}|}{|\mathbf{a}+\mathbf{b}|}\]              
  done clear
  D)
         \[\frac{|\mathbf{a}+\mathbf{b}|}{|\mathbf{a}-\mathbf{b}|}\]
  done clear
  View Answer play_arrow

• question_answer144) If\[\mathbf{a}\cdot \mathbf{i}=\mathbf{a}\cdot (\mathbf{j}+\mathbf{i})=\mathbf{a}\cdot (\mathbf{i}+\mathbf{j}+\mathbf{k})\], then\[\mathbf{a}\]is equal to
  A)
  \[\mathbf{i}\]                                  
  done clear
  B)
  \[\mathbf{k}\]
  done clear
  C)
  \[\mathbf{j}\]                  
  done clear
  D)
         \[(\mathbf{i}+\mathbf{j}+\mathbf{k})\]
  done clear
  View Answer play_arrow

• question_answer145) If the scalar projection of the vector\[x\mathbf{i}-\mathbf{j}+\mathbf{k}\]on the vector\[2\mathbf{i}-\mathbf{j}+5\mathbf{k}\]is\[\frac{1}{\sqrt{30}}\]then value of re is equal to
  A)
  \[\frac{-5}{2}\]                                 
  done clear
  B)
  \[6\]
  done clear
  C)
  \[-6\]                    
  done clear
  D)
         \[3\]
  done clear
  View Answer play_arrow

• question_answer146) If\[\mathbf{a}\times \mathbf{b}=\mathbf{c},\,\,\mathbf{b}\times \mathbf{c}=\mathbf{a}\]and\[\mathbf{a},\,\,\mathbf{b},\,\,\mathbf{c}\]be the moduli of the vectors\[\mathbf{a},\,\,\mathbf{b},\,\,\mathbf{c}\]respectively, then
  A)
  \[a=1,\,\,b=1\]                 
  done clear
  B)
  \[c=1,\,\,a=1\]
  done clear
  C)
  \[\mathbf{a}\cdot (\mathbf{b}\times \mathbf{c})=1\] 
  done clear
  D)
         \[b=1,\,\,c=a\]
  done clear
  View Answer play_arrow

• question_answer147) A unit vectors coplanar with\[\mathbf{i}+\mathbf{j}+2\mathbf{k}\]and\[\mathbf{i}+2\mathbf{j}+\mathbf{k}\]and perpendicular to\[\mathbf{i}+\mathbf{j}+\mathbf{k}\]is
  A)
  \[\frac{\mathbf{j}-\mathbf{k}}{\sqrt{2}}\]                          
  done clear
  B)
  \[\frac{\mathbf{i}+\mathbf{j}+\mathbf{k}}{\sqrt{2}}\]
  done clear
  C)
  \[\frac{\mathbf{i}+\mathbf{j}+2\mathbf{k}}{\sqrt{6}}\]              
  done clear
  D)
         \[\frac{-\mathbf{j}+2\mathbf{k}}{\sqrt{5}}\]
  done clear
  View Answer play_arrow

• question_answer148) Let\[A=\left[ \begin{matrix}    0 & \alpha   \\    0 & 0  \\ \end{matrix} \right]\]and\[{{(A+I)}^{50}}-50A=\left[ \begin{matrix}    a & b  \\    c & d  \\ \end{matrix} \right]\]then the value of\[a+b+c+d\]is
  A)
   2                                            
  done clear
  B)
   1
  done clear
  C)
   4                            
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer149) For two unimodular complex numbers\[{{z}_{1}}\]and\[{{z}_{2}},\,\,{{\left[ \begin{matrix}    {{{\bar{z}}}_{1}} & {{z}_{2}}  \\    {{{\bar{z}}}_{2}} & {{z}_{1}}  \\ \end{matrix} \right]}^{-1}}{{\left[ \begin{matrix}    {{z}_{1}} & {{z}_{2}}  \\    -{{{\bar{z}}}_{2}} & {{{\bar{z}}}_{1}}  \\ \end{matrix} \right]}^{-1}}\]is equal to
  A)
  \[\left[ \begin{matrix}    {{z}_{1}} & {{z}_{2}}  \\    {{{\bar{z}}}_{1}} & {{{\bar{z}}}_{2}}  \\ \end{matrix} \right]\]                   
  done clear
  B)
  \[\left[ \begin{matrix}    1 & 0  \\    0 & 1  \\ \end{matrix} \right]\]
  done clear
  C)
  \[\left[ \begin{matrix}    1/2 & 0  \\    0 & 1/2  \\ \end{matrix} \right]\]   
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer150) If\[A\]is a square matrix of order n such that\[|adj(adj\,\,A)|\,\,=\,\,|A{{|}^{9}}\], then the value of n can be
  A)
   4                                            
  done clear
  B)
   2
  done clear
  C)
   either 4 or 2       
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer151) Coefficient of\[x\]in \[f(x)=\left| \begin{matrix}    x & {{(1+\sin x)}^{3}} & \cos x  \\    1 & \log (1+x) & 2  \\    {{x}^{2}} & {{(1+x)}^{2}} & 0  \\ \end{matrix} \right|\] is
  A)
   0
  done clear
  B)
   1
  done clear
  C)
   - 2
  done clear
  D)
   Cannot be determined
  done clear
  View Answer play_arrow

• question_answer152) Let\[{{\alpha }_{1}},\,\,{{\alpha }_{2}}\]and\[{{\beta }_{1}},\,\,{{\beta }_{2}}\]be the roots of\[a{{x}^{2}}+bx+c=0\]and\[p{{x}^{2}}+qx+r=0\]respectively. If the system of equations\[{{\alpha }_{1}}y+{{\alpha }_{2}}z=0\]and\[{{\beta }_{1}}y+{{\beta }_{2}}z=0\]has  a non-trivial solution, then
  A)
  \[{{b}^{2}}pr={{q}^{2}}ac\]                         
  done clear
  B)
  \[bp{{r}^{2}}=qa{{c}^{2}}\]
  done clear
  C)
  \[b{{p}^{2}}r=q{{a}^{2}}c\]         
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer153) The values of\[\alpha \]for which the point\[(\alpha -1,\,\,\alpha +1)\]lies in the larger segment of the circle\[{{x}^{2}}+{{y}^{2}}-x-y-6=0\]made by the chord whose equation is\[x+y-2=0\]is
  A)
  \[-1<\alpha <1\]                              
  done clear
  B)
  \[1<\alpha <\infty \]
  done clear
  C)
  \[-\infty <\alpha <-1\]  
  done clear
  D)
         \[\alpha \le 0\]
  done clear
  View Answer play_arrow

• question_answer154) The circles whose equations are\[{{x}^{2}}+{{y}^{2}}+{{c}^{2}}=2ax\]and\[{{x}^{2}}+{{y}^{2}}+{{c}^{2}}-2by=0\]will touch each other externally if
  A)
  \[\frac{1}{{{b}^{2}}}+\frac{1}{{{c}^{2}}}=\frac{1}{{{a}^{2}}}\]      
  done clear
  B)
  \[\frac{1}{{{c}^{2}}}+\frac{1}{{{a}^{2}}}=\frac{1}{{{b}^{2}}}\]
  done clear
  C)
  \[\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{c}^{2}}}\]      
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer155) The tangents to\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]having inclinations\[\alpha \]and\[\beta \]intersect at\[P\]. If\[\cot \alpha +\cot \beta =0\], then the locus of\[P\]is
  A)
  \[x+y=0\]                           
  done clear
  B)
  \[x-y=0\]
  done clear
  C)
  \[xy=0\]              
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer156) An equilateral triangle\[SAB\]is inscribed in the parabola\[{{y}^{2}}=4ax\]having its focus at\[S\]. If chord\[AB\]lies towards the lefit of\[S\], then side length of this triangle is
  A)
  \[2a(2-\sqrt{3})\]                            
  done clear
  B)
  \[4a(2-\sqrt{3})\]
  done clear
  C)
  \[a(2-\sqrt{3})\]              
  done clear
  D)
         \[8a(2-\sqrt{3})\]
  done clear
  View Answer play_arrow

• question_answer157) Minimum distance between the curves\[{{y}^{2}}=4ax\]and\[{{x}^{2}}+{{y}^{2}}-12x+31=0\]is
  A)
  \[\sqrt{5}\]                                        
  done clear
  B)
  \[\sqrt{21}\]
  done clear
  C)
  \[\sqrt{28}-\sqrt{5}\]    
  done clear
  D)
         \[\sqrt{21}-\sqrt{5}\]
  done clear
  View Answer play_arrow

• question_answer158) If the line\[lx+my+n=0\]cuts the ellipse\[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{25}=1\]in points whose eccentoric angles differ by\[\frac{\pi }{2}\], then\[\frac{{{a}^{2}}{{l}^{2}}+{{b}^{2}}{{m}^{2}}}{{{n}^{2}}}\]is equal to
  A)
   1                                            
  done clear
  B)
   2
  done clear
  C)
   4                            
  done clear
  D)
         \[\frac{3}{2}\]
  done clear
  View Answer play_arrow

• question_answer159) If the tangent to ellipse\[{{x}^{2}}+2y=1\]at point \[P\left( \frac{1}{\sqrt{2}},\,\,\frac{1}{2} \right)\] meets the auxiliary circle at the points\[R\]and\[Q\], then tangents to circle at\[Q\]and\[R\]intersect at
  A)
  \[\left( \frac{1}{\sqrt{2}},\,\,1 \right)\]                 
  done clear
  B)
  \[\left( 1,\,\,\frac{1}{\sqrt{2}} \right)\]
  done clear
  C)
  \[\left( \frac{1}{2},\,\,\frac{1}{2} \right)\]            
  done clear
  D)
         \[\left( \frac{1}{2},\,\,\frac{1}{\sqrt{2}} \right)\]
  done clear
  View Answer play_arrow

• question_answer160) Which one of the following is independent of a in the hyperbola\[(0<\alpha <\pi /2)\]\[\frac{{{x}^{2}}}{{{\cos }^{2}}\alpha }-\frac{{{y}^{2}}}{{{\sin }^{2}}\alpha }=1\]
  A)
   Eccentricity                       
  done clear
  B)
   Abscissa of foci
  done clear
  C)
   Directrix              
  done clear
  D)
          Vertex
  done clear
  View Answer play_arrow

• question_answer161) If\[PQ\]is a double ordinate of the hyperbola\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\]such that\[OPQ\]is an equilateral triangle, \[O\] being the centre of the hyperbola, then the eccentricity e of the hyperbola satisfies.
  A)
  \[1<e<\frac{2}{\sqrt{3}}\]           
  done clear
  B)
         \[e=\frac{2}{\sqrt{3}}\]
  done clear
  C)
  \[e=\frac{\sqrt{3}}{2}\]
  done clear
  D)
         \[e>\frac{2}{\sqrt{3}}\]
  done clear
  View Answer play_arrow

• question_answer162) If\[i{{z}^{4}}+1=0\], then\[z\]can take the value
  A)
  \[\frac{1+i}{\sqrt{2}}\]                                  
  done clear
  B)
  \[\cos \frac{\pi }{8}+\mathbf{i}\sin \frac{\pi }{8}\]
  done clear
  C)
  \[\frac{1}{4\mathbf{i}}\]                             
  done clear
  D)
         \[\mathbf{i}\]
  done clear
  View Answer play_arrow

• question_answer163) If\[\cos \alpha +\cos \beta +\cos \gamma =\sin \alpha +\sin \beta +\sin \gamma =0\], then the value of\[\cos 3\alpha +\cos 3\beta +\cos 3\gamma \]
  A)
  \[0\]                                     
  done clear
  B)
  \[\cos (\alpha +\beta +\gamma )\]
  done clear
  C)
  \[3\cos (\alpha +\beta +\gamma )\]
  done clear
  D)
         \[3\sin (\alpha +\beta +\gamma )\]
  done clear
  View Answer play_arrow

• question_answer164) If\[Q\]is real and\[{{z}_{1}},\,\,{{z}_{2}}\]are connected by\[z_{1}^{2}+z_{2}^{2}+2{{z}_{1}}{{z}_{2}}\cos \theta =0\], then triangle with vertices\[0,\,\,{{z}_{1}}\]and\[{{z}_{2}}\]is
  A)
   equilateral                        
  done clear
  B)
   right-angled
  done clear
  C)
   isosceles            
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer165) Let\[f(xy)=f(x)\cdot f(y)\]for all\[x,\,\,y\in R\]. If\[f(1)=2\]and\[f(4)=4\], then\[f(4)\]equal to
  A)
  \[4\]                                     
  done clear
  B)
  \[1\]
  done clear
  C)
  \[\frac{1}{2}\]                   
  done clear
  D)
         \[8\]
  done clear
  View Answer play_arrow

• question_answer166) If\[y=\sqrt{(a-x)(x-b)}-(a-b){{\tan }^{-1}}\sqrt{\frac{a-x}{x-b}}\], then\[\frac{dy}{dx}\]is equal to
  A)
  \[1\]                     
  done clear
  B)
         \[\sqrt{\frac{a-x}{x-b}}\]
  done clear
  C)
  \[\sqrt{(a-x)(x-b)}\]
  done clear
  D)
         \[\frac{1}{\sqrt{(a-x)(b-x)}}\]
  done clear
  View Answer play_arrow

• question_answer167) If\[{{\sin }^{-1}}\left( \frac{{{x}^{2}}-{{y}^{2}}}{{{x}^{2}}+{{y}^{2}}} \right)=\log a\], then\[\frac{{{d}^{2}}y}{d{{x}^{2}}}\]equals
  A)
  \[\frac{x}{y}\]                                   
  done clear
  B)
  \[\frac{y}{{{x}^{2}}}\]
  done clear
  C)
  \[\frac{y}{x}\]                   
  done clear
  D)
         \[0\]
  done clear
  View Answer play_arrow

• question_answer168) A man 1.6 m high walks at the rate of\[30\text{m}/\min \] away from a lamp which is\[4m\]above ground. How fast is the mans shadow lengthening?
  A)
  \[22\text{m/min}\]                        
  done clear
  B)
  \[20\text{m/min}\]
  done clear
  C)
  \[15\text{m/min}\]        
  done clear
  D)
         \[25\text{m/min}\]
  done clear
  View Answer play_arrow

• question_answer169) The value\[P\]such that the length of subtangent and subnormal is equal for the curve\[{{y}^{2}}={{e}^{Px}}+Px\]at the point\[(0,\,\,1)\]is
  A)
  \[P=\pm 1\]      
  done clear
  B)
         \[P=\pm 2\]
  done clear
  C)
  \[P=\pm \frac{1}{2}\]    
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer170) \[AB\]is a diameter of a circle and\[C\]is any point on the circumference of the circle, then
  A)
   The area of \[\Delta ABC\] is maximum when it is isosceles
  done clear
  B)
          The area of \[\Delta ABC\] is minimum when it is isosceles
  done clear
  C)
          The perimeter of \[\Delta ABC\] is minimum when it is isosceles
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer171) The value of\[\left\{ \frac{1}{2}{{\cos }^{-1}}\left( \frac{\sqrt{5}}{3} \right) \right\}\]is
  A)
  \[\frac{3+\sqrt{5}}{2}\]                
  done clear
  B)
  \[3+\sqrt{5}\]
  done clear
  C)
  \[\frac{1}{2}(3-\sqrt{5})\]            
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer172) The interval for which\[2{{\tan }^{-1}}+{{\sin }^{-1}}\frac{2x}{1+{{x}^{2}}}\]is independent of\[x\]is
  A)
  \[|x|\,\,<1\]                     
  done clear
  B)
  \[|x|\,\,>1\]
  done clear
  C)
  \[|x|\,\,=1\]     
  done clear
  D)
         \[\phi \]
  done clear
  View Answer play_arrow

• question_answer173) The number of solutions of the equation\[1+\sin x\cdot {{\sin }^{2}}\frac{x}{2}=0\]in\[[-\pi ,\,\,\pi ]\]is
  A)
   zero                     
  done clear
  B)
   1
  done clear
  C)
   2                            
  done clear
  D)
          3
  done clear
  View Answer play_arrow

• question_answer174) If\[x,\,\,y\in [0,\,\,2\pi ]\]then the total number of ordered pairs\[(x,\,\,y)\]satisfying\[x\cdot \cos y=1\]is equal to
  A)
   1                                            
  done clear
  B)
   3
  done clear
  C)
   5                            
  done clear
  D)
          7
  done clear
  View Answer play_arrow

• question_answer175) \[\int{{{x}^{x}}\log (ex)}\]is equal to
  A)
  \[{{x}^{x}}+c\]
  done clear
  B)
         \[x\cdot \log x+c\]
  done clear
  C)
  \[{{(\log x)}^{x}}+c\]     
  done clear
  D)
         \[{{x}^{\log x}}+c\]
  done clear
  View Answer play_arrow

• question_answer176) \[\int{\sqrt{1+\cos ecx}\,\,dx}\]is equal to
  A)
  \[\pm {{\sin }^{-1}}(\tan x-\sec x)+c\]
  done clear
  B)
  \[2{{\sin }^{-1}}(\cos x)+c\]
  done clear
  C)
  \[{{\sin }^{-1}}\left( \cos \frac{x}{2}-\sin \frac{x}{2} \right)+c\]
  done clear
  D)
  \[\pm 2{{\sin }^{-1}}\left( \sin \frac{x}{2}-\cos \frac{x}{2} \right)+c\]
  done clear
  View Answer play_arrow

• question_answer177) If\[\int{\frac{dx}{{{x}^{2}}{{({{x}^{n}}+1)}^{\frac{(n-1)}{n}}}}={{[f(x)]}^{1/n}}+c}\]then\[f(x)\]is
  A)
  \[1+{{x}^{n}}\]                 
  done clear
  B)
  \[1+{{x}^{-n}}\]
  done clear
  C)
  \[{{x}^{n}}+{{x}^{-n}}\]
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer178) The value of\[\underset{n\to \infty }{\mathop{\lim }}\,\left\{ \frac{1}{na}+\frac{1}{na+1}+\frac{1}{na+2}+...+\frac{1}{{{n}_{b}}} \right\}\]is
  A)
  \[\log (ab)\]                      
  done clear
  B)
  \[\log (a/b)\]
  done clear
  C)
  \[\log (b/a)\]    
  done clear
  D)
         \[-\log (a/b)\]
  done clear
  View Answer play_arrow

• question_answer179) The value of\[\int_{a}^{b}{\frac{|x|}{x}dx}\]is
  A)
  \[|b|-|a|\]                        
  done clear
  B)
  \[|a|-|b|\]
  done clear
  C)
  \[|b|+|a|\]       
  done clear
  D)
         \[-|b|-|a|\]
  done clear
  View Answer play_arrow

• question_answer180) \[y=\int_{1/8}^{{{\sin }^{2}}x}{{{\sin }^{-1}}\sqrt{t}dt+\int_{1/8}^{{{\cos }^{2}}x}{{{\cos }^{-1}}\sqrt{t}dt}}\],\[0\le x\le x/2\]
  A)
   Is the equation of a straight line parallel to the x-axis
  done clear
  B)
   Is the equation of a straight line which is the bisector of first quadrant
  done clear
  C)
   Is the equation of a straight line which is the bisector of second quadrant
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer181) The area of the region \[[(x,\,\,y):{{x}^{2}}+{{y}^{2}}\le 1\le x+y]\]is;
  A)
  \[\frac{\pi }{5}\]                                              
  done clear
  B)
  \[\frac{\pi }{4}\]
  done clear
  C)
  \[\frac{{{\pi }^{2}}}{3}\]               
  done clear
  D)
         \[\frac{\pi }{4}-\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer182) The area of the figure bounded by the parabola\[{{(y-2)}^{2}}=x-1\], the tangent to it at the point with the ordinate 3 and the x-axis is
  A)
   3                                            
  done clear
  B)
   6
  done clear
  C)
   9                            
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer183) The degree of the differential equation\[{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{2}}+{{\left( \frac{dy}{dx} \right)}^{2}}=x\sin \left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)\]
  A)
   1                                            
  done clear
  B)
   2
  done clear
  C)
   3                            
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer184) The slope of the tangent at\[(x,\,\,y)\]to a curve passing through\[\left( 1,\,\,\frac{\pi }{4} \right)\]is given by\[\frac{y}{x}-{{\cos }^{2}}\left( \frac{y}{x} \right)\]the equation of the curve is
  A)
  \[y={{\tan }^{-1}}\left( \log \frac{c}{x} \right)\] 
  done clear
  B)
  \[y=x{{\tan }^{-1}}\left( \log \frac{x}{c} \right)\]
  done clear
  C)
  \[y=x{{\tan }^{-1}}\left( \log \frac{c}{x} \right)\]
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer185) The solution of the equation \[\frac{dy}{dx}=\frac{x(2\log x+1)}{\sin y+y\cos y}\]
  A)
  \[y\sin y={{x}^{2}}\log x+\frac{{{x}^{2}}}{y}+c\]
  done clear
  B)
  \[y\cos y={{x}^{2}}(\log x+1)+c\]
  done clear
  C)
  \[y\cos y={{x}^{2}}\log x+\frac{{{x}^{2}}}{2}+c\]
  done clear
  D)
  \[y\sin y={{x}^{2}}\log x+c\]
  done clear
  View Answer play_arrow

• question_answer186) The curve for which the length of the normal is equal to the length of the radius vector, are
  A)
   only circles
  done clear
  B)
   only rectangular hyperbolas
  done clear
  C)
   either circles or rectangular hyperbolas
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer187) If\[\frac{1}{x(x+1)(x+2)...(x+n)}=\frac{{{A}_{0}}}{x}+\frac{{{A}_{1}}}{x+1}\]\[+\frac{{{A}_{2}}}{x+2}+...+\frac{{{A}_{n}}}{x+n}\] then \[{{A}_{r}}\] is equal to
  A)
  \[\frac{r!{{(1)}^{r}}}{(n-r)!}\]                     
  done clear
  B)
  \[\frac{{{(-1)}^{r}}}{r!(n-r)!}\]
  done clear
  C)
  \[\frac{1}{r!(n-r)!}\]       
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer188) \[{{\log }_{2}}(9-{{2}^{x}})={{10}^{\log (3-x)}}\], solve for\[x\].
  A)
   0                                            
  done clear
  B)
   3
  done clear
  C)
   both (a) and (b)     
  done clear
  D)
   0 and 6
  done clear
  View Answer play_arrow

• question_answer189) 3 numbers are in GP therefore, their logarithms are in
  A)
   GP                        
  done clear
  B)
          HP
  done clear
  C)
   AP                        
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer190) In an equilateral triangle, the in-radius, circum-radius and one of the ex-radii are in the ratio
  A)
  \[2:3:5\]              
  done clear
  B)
  \[1:2:3\]
  done clear
  C)
  \[1:3:7\]            
  done clear
  D)
         \[3:7:9\]
  done clear
  View Answer play_arrow

• question_answer191) In a triangle, the length of the two larger sides are 24 and 22, respectively. If the angles are in \[AP\], then the third side is
  A)
  \[12+2\sqrt{3}\]
  done clear
  B)
  \[12-2\sqrt{3}\]
  done clear
  C)
  \[2\sqrt{3}+2\]
  done clear
  D)
  \[2\sqrt{3}-2\]
  done clear
  View Answer play_arrow

• question_answer192) \[G\]is a set of all rational numbers except\[-1\]and\[*\]is defined by\[a*b=a+b+ab\]for all\[a,\,\,b\in G\], in the group\[(G,\,\,*)\], the solution of \[{{2}^{-1}}*\,x*\,{{3}^{-1}}=5\] is
  A)
  \[71\]                                   
  done clear
  B)
  \[68\]
  done clear
  C)
  \[63/5\]               
  done clear
  D)
         \[72/5\]
  done clear
  View Answer play_arrow

• question_answer193) If\[G\]is an abelian group then for all\[a,\,\,b\in G\] \[{{b}^{-1}}*\,{{a}^{-1}}\,*b*\,a\]is equal to
  A)
  \[a*b\]                                
  done clear
  B)
  \[{{a}^{-1}}*{{b}^{-1}}\]
  done clear
  C)
  \[e\]     
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer194) If\[(G,\,\,*)\]is a group such that\[{{(a*b)}^{2}}=(a*a)\]\[*(b*b)\] for all\[a,\,\,b*G\], then\[G\]is
  A)
   abelian               
  done clear
  B)
   finite
  done clear
  C)
   infinite                
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer195) A graph which has no edges or node is known as
  A)
   Digraph              
  done clear
  B)
   Mixed graph
  done clear
  C)
   Nullgraph            
  done clear
  D)
          Multigraph
  done clear
  View Answer play_arrow

• question_answer196) If all edges are directed in a graph then it is called as
  A)
   Null graph                         
  done clear
  B)
   Digraph
  done clear
  C)
   Mixed graph       
  done clear
  D)
     None of these
  done clear
  View Answer play_arrow

• question_answer197) Find the greatest value of xyz for positive values of\[x,\,\,y,\,\,z\]subject to the condition\[xy+yz+zx=12\].
  A)
   64                         
  done clear
  B)
   8       
  done clear
  C)
   16         
  done clear
  D)
          32
  done clear
  View Answer play_arrow

• question_answer198) \[a,\,\,b,\,\,c\]are prime numbers,\[x\]is an even number,\[y\]is an odd number. Which of the following is/are never true? I.\[a+x=b\]                         II.\[b+y=c\]                        III.\[ab=c\]                          IV.\[a+b=c\]
  A)
   I and II
  done clear
  B)
   II and III
  done clear
  C)
   Only III
  done clear
  D)
   III and IV
  done clear
  View Answer play_arrow

• question_answer199) \[(p\wedge \tilde{\ }q)\wedge (\tilde{\ }p\wedge q)\]
  A)
   A tautology
  done clear
  B)
   A contradiction
  done clear
  C)
   Both a tautology and a contradiction
  done clear
  D)
   Neither a tautology nor a contradiction
  done clear
  View Answer play_arrow

• question_answer200) \[(\tilde{\ }p\wedge q)\]is logically equivalent to
  A)
  \[p\to q\]                           
  done clear
  B)
  \[q\to p\]
  done clear
  C)
  \[\tilde{\ }(p\to q)\]      
  done clear
  D)
         \[\tilde{\ }(q\to p)\]
  done clear
  View Answer play_arrow

• question_answer201) No sooner he reached home than all the villagers gathered at his home to listen to his story.
  A)
   would he reach
  done clear
  B)
   did he reach
  done clear
  C)
   had he reached
  done clear
  D)
   No improvement
  done clear
  View Answer play_arrow

• question_answer202) Because of his mastery in this field, his suggestions are wide accepted.
  A)
   are widely accepted
  done clear
  B)
   are wide acceptance
  done clear
  C)
   have widely accepted
  done clear
  D)
   No improvement
  done clear
  View Answer play_arrow

• question_answer203) You are warned against committing the same mistake again.
  A)
   for committing                
  done clear
  B)
   against to commit
  done clear
  C)
   to commit        
  done clear
  D)
          No improvement
  done clear
  View Answer play_arrow

• question_answer204) The teacher gave the students some advice.
  A)
   advise                 
  done clear
  B)
   advises
  done clear
  C)
   advices             
  done clear
  D)
          No improvement
  done clear
  View Answer play_arrow

• question_answer205) I shall ring him tomorrow in the afternoon.
  A)
   ring to him     
  done clear
  B)
          ring up to him
  done clear
  C)
   ring him up         
  done clear
  D)
         No improvement
  done clear
  View Answer play_arrow

• question_answer206) Directions: In the following questions, out of the four alternatives, choose the one, which best expresses the meaning of the given word. RADIANT
  A)
   Bright                 
  done clear
  B)
   Beautiful
  done clear
  C)
   Plight                 
  done clear
  D)
          Influential
  done clear
  View Answer play_arrow

• question_answer207) Directions: In the following questions, out of the four alternatives, choose the one, which best expresses the meaning of the given word. PRUNE
  A)
   Lend                    
  done clear
  B)
   Reduce
  done clear
  C)
   Expand             
  done clear
  D)
          Prolong
  done clear
  View Answer play_arrow

• question_answer208) Directions: In the following questions, out of the four alternatives, choose the one, which best expresses the meaning of the given word. DILETTANTE
  A)
   Opponent                         
  done clear
  B)
   Specialist
  done clear
  C)
   Amateur            
  done clear
  D)
          Expert
  done clear
  View Answer play_arrow

• question_answer209) Directions: In the following questions, out of the four alternatives, choose the one, which best expresses the meaning of the given word. FOSTER
  A)
   Encourage                         
  done clear
  B)
   Fabricate
  done clear
  C)
   Forment            
  done clear
  D)
          Nurture
  done clear
  View Answer play_arrow

• question_answer210) Directions: In the following questions, out of the four alternatives, choose the one, which best expresses the meaning of the given word. ENIGMA
  A)
   Elusive                                
  done clear
  B)
   Clear    
  done clear
  C)
   Puzzle                 
  done clear
  D)
          Praise
  done clear
  View Answer play_arrow

• question_answer211) Directions: In the following questions, choose the word opposite in meaning to the given word. CONFORM
  A)
   Disappoint                        
  done clear
  B)
   Reform
  done clear
  C)
   Deform             
  done clear
  D)
          Dissent
  done clear
  View Answer play_arrow

• question_answer212) Directions: In the following questions, choose the word opposite in meaning to the given word. ABORIGINAL
  A)
   Modern             
  done clear
  B)
  -Popular
  done clear
  C)
   Current              
  done clear
  D)
          Contemporary
  done clear
  View Answer play_arrow

• question_answer213) Directions: In the following questions, choose the word opposite in meaning to the given word. AMENABLE
  A)
   Stubborn                           
  done clear
  B)
   Docile
  done clear
  C)
   Obedient            
  done clear
  D)
          Offensive
  done clear
  View Answer play_arrow

• question_answer214) Directions: In the following questions, choose the word opposite in meaning to the given word. ACQUIT
  A)
   Confirm             
  done clear
  B)
   Blame
  done clear
  C)
   Punish              
  done clear
  D)
          Indict
  done clear
  View Answer play_arrow

• question_answer215) Directions: In the following questions, choose the word opposite in meaning to the given word. FORBIDDEN
  A)
   Allowed
  done clear
  B)
   Prohibited
  done clear
  C)
   Agreed
  done clear
  D)
   Foresaken
  done clear
  View Answer play_arrow

• question_answer216) Rahul fought tooth and nail to save his company.
  A)
   with weapons
  done clear
  B)
   as best as he could
  done clear
  C)
   using unfair means
  done clear
  D)
   with strength and fury
  done clear
  View Answer play_arrow

• question_answer217) Mr Roy is known as a shop-lifter in the city commercial centre.
  A)
   daily visitor
  done clear
  B)
   buyer of all new things
  done clear
  C)
   smuggler
  done clear
  D)
   a thief in guise of customer
  done clear
  View Answer play_arrow

• question_answer218) We should guard against our green-eyed friends.
  A)
   rich                 
  done clear
  B)
          jealous
  done clear
  C)
   handsome          
  done clear
  D)
         enthusiastic
  done clear
  View Answer play_arrow

• question_answer219) This place affords a birds eye view of the green valley below.
  A)
   beautiful view                 
  done clear
  B)
   general view
  done clear
  C)
   narrow view       
  done clear
  D)
     ugly view
  done clear
  View Answer play_arrow

• question_answer220) I wont mind even if he goes to dogs.
  A)
   goes mad                          
  done clear
  B)
   is insulted
  done clear
  C)
   is ruined            
  done clear
  D)
          becomes brutal
  done clear
  View Answer play_arrow

• question_answer221) Directions: In the following questions out of the four alternatives, choose the one, which can be substituted for the given words/sentence. A person who lives alone and avoids other people.
  A)
   Ascetic
  done clear
  B)
                          Recluse
  done clear
  C)
   Unsocial             
  done clear
  D)
          Agnostic
  done clear
  View Answer play_arrow

• question_answer222) Directions: In the following questions out of the four alternatives, choose the one, which can be substituted for the given words/sentence. Explicit undertaking to do something.
  A)
   Agreement      
  done clear
  B)
          Decision
  done clear
  C)
   Settlement         
  done clear
  D)
         Promise
  done clear
  View Answer play_arrow

• question_answer223) Directions: In the following questions out of the four alternatives, choose the one, which can be substituted for the given words/sentence. Murder of a king.
  A)
   Matricide
  done clear
  B)
   Genocide
  done clear
  C)
   Regicide
  done clear
  D)
   Homicide
  done clear
  View Answer play_arrow

• question_answer224) Directions: In the following questions out of the four alternatives, choose the one, which can be substituted for the given words/sentence. A person interested in reading books and nothing else.
  A)
   Student              
  done clear
  B)
          Book worn
  done clear
  C)
   Scholar             
  done clear
  D)
          Book-keeper
  done clear
  View Answer play_arrow

• question_answer225) Directions: In the following questions out of the four alternatives, choose the one, which can be substituted for the given words/sentence. A book or picture produced merely to bring in money.
  A)
   Money-spinner
  done clear
  B)
   Pot-hook
  done clear
  C)
   Pot-boiler
  done clear
  D)
   Blue-bird
  done clear
  View Answer play_arrow

• question_answer226) Directions: In the following questions, you have to rearrange the parts P, Q, R and S to produce a proper sentence.

  (P) took place

  (Q) when militants opened fire on BSF men

  (R) the encounter lasting over two hours

  (S) in the town around 8.30 am

  A)
   QPRS                                   
  done clear
  B)
   QSRP
  done clear
  C)
   RPQS                   
  done clear
  D)
          RPSQ
  done clear
  View Answer play_arrow

• question_answer227) Directions: In the following questions, you have to rearrange the parts P, Q, R and S to produce a proper sentence.

  They are plant eaters

  (P) and various kinds of vegetation

  (Q) browsing on grass

  (R) and consume

  (S) vast quantities of pasture

  A)
   QPRS                   
  done clear
  B)
          QSRP
  done clear
  C)
   RSPQ                   
  done clear
  D)
          RSQP
  done clear
  View Answer play_arrow

• question_answer228) Directions: In the following questions, you have to rearrange the parts P, Q, R and S to produce a proper sentence.

  (P) is becomes difficult

  (Q) satisfying our desire

  (R) but once we set about

  (S) if not impossible to restrain them

  A)
   POPS
  done clear
  B)
                          QRPS  
  done clear
  C)
   RQPS   
  done clear
  D)
          RQSP
  done clear
  View Answer play_arrow

• question_answer229) Directions: In the following questions, you have to rearrange the parts P, Q, R and S to produce a proper sentence. The captain

  (P) when engaged against the enemy

  (Q) who was himself a brave man

  (R) never to lose heart

  (S) advised the soldiers

  A)
   PQSR                   
  done clear
  B)
          QPSR
  done clear
  C)
   QSRP                   
  done clear
  D)
          SQRP
  done clear
  View Answer play_arrow

• question_answer230) Directions: In the following questions, you have to rearrange the parts P, Q, R and S to produce a proper sentence.

  Some remarks

  (P) put the police on the right scent

  (Q) by a woman

  (R) and they discoverd

  (S) casually dropped

  (6) the whole gang of brigands

  A)
   QSPR
  done clear
  B)
   RPSQ
  done clear
  C)
   RQSP
  done clear
  D)
   SQPR
  done clear
  View Answer play_arrow

• question_answer231) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
  A)
   Unless you do not listen to his advice
  done clear
  B)
   I am not going
  done clear
  C)
   to help you.
  done clear
  D)
   No error
  done clear
  View Answer play_arrow

• question_answer232) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
  A)
   The teacher called Ravi
  done clear
  B)
   and asked him
  done clear
  C)
   to describe about the incident.
  done clear
  D)
   No error
  done clear
  View Answer play_arrow

• question_answer233) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
  A)
   Be smart
  done clear
  B)
   not only in dress
  done clear
  C)
   and also inaction.
  done clear
  D)
   No error
  done clear
  View Answer play_arrow

• question_answer234) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
  A)
   The reason for
  done clear
  B)
   his failure is because
  done clear
  C)
   he did not work hard.
  done clear
  D)
   No error
  done clear
  View Answer play_arrow

• question_answer235) Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The letter of that part is your answer. If there is no error, your answer is (d) i.e., No error.
  A)
   If I was you
  done clear
  B)
   I would have
  done clear
  C)
   terminated his services them and there.
  done clear
  D)
   No error
  done clear
  View Answer play_arrow

• question_answer236) Directions: In the following questions, groups of four words are given. In each group, one word is wrong spelt. Find the missplet word.
  A)
   Laudable    
  done clear
  B)
                          Honourable
  done clear
  C)
   Lovable             
  done clear
  D)
          Honourary
  done clear
  View Answer play_arrow

• question_answer237) Directions: In the following questions, groups of four words are given. In each group, one word is wrong spelt. Find the missplet word.
  A)
   Behaviour
  done clear
  B)
                          Commend
  done clear
  C)
   Mentenance      
  done clear
  D)
          Appraise
  done clear
  View Answer play_arrow

• question_answer238) Directions: In the following questions, groups of four words are given. In each group, one word is wrong spelt. Find the missplet word.
  A)
   Focal
  done clear
  B)
   Vocal
  done clear
  C)
   Vehical
  done clear
  D)
   Mystical
  done clear
  View Answer play_arrow

• question_answer239) Directions: In the following questions, groups of four words are given. In each group, one word is wrong spelt. Find the missplet word.
  A)
   Dairy
  done clear
  B)
   Dafodil
  done clear
  C)
   Dainty
  done clear
  D)
   Damage
  done clear
  View Answer play_arrow

• question_answer240) Directions: In the following questions, groups of four words are given. In each group, one word is wrong spelt. Find the missplet word.
  A)
   Cureable
  done clear
  B)
   Currency
  done clear
  C)
   Campaign
  done clear
  D)
   Chronicle
  done clear
  View Answer play_arrow