Solved papers for J & K CET Engineering J and K - CET Engineering Solved Paper-2014

done J and K - CET Engineering Solved Paper-2014 Total Questions - 224

• question_answer1) A solenoid of length 0.6 m has a radius of \[1\text{ }cm\] and is made up of 600 turns. It carries a current of \[6\text{ }A\]. What is the magnitude of the magnetic field inside the solenoid?
  A)
   \[7.54\times {{10}^{-3}}T~\]
  done clear
  B)
   \[10.84\times {{10}^{-3}}\,\,T\]
  done clear
  C)
   \[4.87\times {{10}^{-3}}\,\,T\]    
  done clear
  D)
   \[2.36\times {{10}^{-2}}\,\,T\]
  done clear
  View Answer play_arrow

• question_answer2) The bus moving with a speed of \[42\text{ }km/h\]is brought to a stop by brakes after\[6\text{ }m\]. If the same bus is moving at a speed of \[90\text{ }km/h,\] then the minimum stopping distance is
  A)
   \[15.48\text{ }m\]
  done clear
  B)
   \[18.64\text{ }m\]
  done clear
  C)
   \[22.13\text{ }m\]
  done clear
  D)
   \[27.55\text{ }m\]
  done clear
  View Answer play_arrow

• question_answer3) A \[15pF\] capacitor is connected to a \[60\text{ }V\] battery. How much electrostatic energy is stored?
  A)
   \[2.77\times {{10}^{-8}}\,J\]      
  done clear
  B)
   \[1.77\times {{10}^{-8}}\,J\]
  done clear
  C)
   \[2.35\times {{10}^{-8}}\,J\]      
  done clear
  D)
   \[1.35\times {{10}^{-8}}\,J\]
  done clear
  View Answer play_arrow

• question_answer4) In a video signal for transmission of picture, what value of bandwidth is used " in communication system?
  A)
   \[2.4\text{ }MHz\]         
  done clear
  B)
   \[4.2\text{ }MHz\]
  done clear
  C)
   \[4.2\text{ }MHz\]
  done clear
  D)
   \[42\text{ }MHz\]
  done clear
  View Answer play_arrow

• question_answer5) A straight wire of mass 300 g and length \[2.5\text{ }m\]carries a current of \[3.5\text{ }A\]. It is suspended in mid-air by a uniform horizontal magnetic field B. What is the magnitude of the magnetic field?
  A)
   \[0.654\text{ }T\]
  done clear
  B)
   \[0.336\text{ }T\]
  done clear
  C)
   \[1.576\text{ }T\]
  done clear
  D)
   \[0.939\text{ }T\]
  done clear
  View Answer play_arrow

• question_answer6) When longitudinal wave propagates, what happens in the region of compressions and rarefactions?
  A)
   Density varies
  done clear
  B)
   Density remains constant
  done clear
  C)
   There is heat transfers
  done clear
  D)
   Boyle's law is obeyed
  done clear
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• question_answer7) If the temperature of the body is increased by \[10%,\] the percentage increase in the emitted indication will be
  A)
   \[46%\]            
  done clear
  B)
   \[40%\]
  done clear
  C)
   \[30%\]            
  done clear
  D)
   \[80%\]
  done clear
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• question_answer8) A galaxy is moving away from an observe on the earth so that sodium light of wavelength \[5892\overset{\text{o}}{\mathop{\text{A}}}\,\] is observed at \[5896\overset{\text{o}}{\mathop{\text{A}}}\,\]. The speed of galaxy is                                       
  A)
   \[306\,\,km/s\]         
  done clear
  B)
   \[204\text{ }km/s\]                 
  done clear
  C)
   \[185\,km/s\]         
  done clear
  D)
   \[158\text{ }km/s\]                 
  done clear
  View Answer play_arrow

• question_answer9) The correct order of arrangement of electromagnetic waves according to their wavelength is
  A)
   gamma rays < microwaves < AM radiowaves < FM radiowaves
  done clear
  B)
   microwaves < AM radiowaves < FM radiowaves < gamma rays
  done clear
  C)
   gamma rays < AM radiowaves < FM radiowaves < microwaves                              
  done clear
  D)
   gamma rays < microwaves < FM radiowaves < AM radiowaves
  done clear
  View Answer play_arrow

• question_answer10) A constant retarding force of \[80\text{ }N\]is applied to      a body of mass \[50\text{ }kg\]which is moving initially      with a speed of\[20\text{ }m/s\]. What would be the time required by the body to come to rest?              
  A)
   \[15\,\,s\]  
  done clear
  B)
   \[14\,\,s\]
  done clear
  C)
   \[12.5\,\,s\]
  done clear
  D)
   \[1\,8\,\,s\]           
  done clear
  View Answer play_arrow

• question_answer11) Light from a point source in air falls on a spherical glass surface (\[n=1.67\]and radius of curvature \[~=25\text{ }cm\]). The distance of the light source from the glass surface is \[95\text{ }cm\]. At what  position, the image is formed?
  A)
   \[75.45\text{ }cm\]        
  done clear
  B)
   \[90.50\text{ }cm\]
  done clear
  C)
   \[105.25\text{ }cm\]       
  done clear
  D)
   \[99.40\text{ }cm\]
  done clear
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• question_answer12) The length of the wire is increase by 2% by applying a load of\[2.5\text{ }kg-wt\]. What is the linear strain produced in the wire?
  A)
   \[0.1\]    
  done clear
  B)
   \[0.01\]
  done clear
  C)
   \[0.2\]    
  done clear
  D)
  \[0.02\]
  done clear
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• question_answer13) The half life of an old rock element is 5800 years. In how many years its sample of \[25\text{ }g\]is reduced to \[6.25\text{ }g\].
  A)
   \[2900\text{ }years\]       
  done clear
  B)
   \[5800\text{ }years\]
  done clear
  C)
   \[11600\text{ }years\]       
  done clear
  D)
   \[23200\text{ }years\]
  done clear
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• question_answer14) The earth takes \[24\text{ }h\]to rotate once about its axis. How much time does the sun take to shift by \[{{5}^{o}}\] when viewed from the earth?
  A)
   \[20\text{ }min\]
  done clear
  B)
   \[15\text{ }min\] 
  done clear
  C)
   \[10\text{ }min\]
  done clear
  D)
   \[5\text{ }min\]
  done clear
  View Answer play_arrow

• question_answer15) Which of the following is a dimension less quantity?
  A)
   Magnetic flux density
  done clear
  B)
   Electric flux density
  done clear
  C)
   Lumen flux density
  done clear
  D)
   Optical density
  done clear
  View Answer play_arrow

• question_answer16) A crane lifts weight of \[75\text{ }kg\]to a height of \[15\text{ }m\] in\[15\text{ }s\]. The power of the crane is (assuming \[g=9.8\,m/{{s}^{2}}\])
  A)
   \[635\,\,W\]           
  done clear
  B)
   \[735\,\,W\]
  done clear
  C)
   \[835\,\,W\]           
  done clear
  D)
   \[1135\,\,W\]
  done clear
  View Answer play_arrow

• question_answer17) The escape velocity from the surface of the earth is\[11.2\text{ }km{{s}^{-1}}\]. What is the escape velocity in a planet whose radius is three times that of the earth and on which the acceleration due to gravity is three times of that on the earth?
  A)
   \[11.2\text{ }km{{s}^{-1}}\]     
  done clear
  B)
   \[22.4\text{ }km{{s}^{-1}}\]
  done clear
  C)
   \[33.6\text{ }km{{s}^{-1}}\]
  done clear
  D)
   \[5.6\text{ }km{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer18) What is the dimensional formula for Work?
  A)
   \[[ML{{T}^{-2}}]\]         
  done clear
  B)
   \[[M{{L}^{2}}{{T}^{-2}}]\]
  done clear
  C)
   \[[M{{L}^{3}}{{T}^{-2}}]\]        
  done clear
  D)
   \[[M{{L}^{2}}{{T}^{-1}}]\]
  done clear
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• question_answer19) When the gas expands with temperature using the relation \[V=K{{T}^{2/3}}\] for the temperature change of \[40\text{ }K,\] the work done is
  A)
   \[20.1\,\,R\]          
  done clear
  B)
   \[30.2\,\,R\]
  done clear
  C)
   \[26.6\,\,R\]           
  done clear
  D)
   \[35.6\,\,R\]
  done clear
  View Answer play_arrow

• question_answer20) The resonant frequency of a L-C-R circuit depends upon
  A)
   L and R
  done clear
  B)
   C and R
  done clear
  C)
   L and C
  done clear
  D)
   L, C and R
  done clear
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• question_answer21) A wheel with 30 metallic spokes each of \[7.0\text{ }m\] long is rotated with a speed of \[120\text{ }rev/min,\] in a plane normal to the horizontal component of the earth's magnetic field Hg /at a place. If \[{{H}_{E}}=0.8G\]at the place what is the induced emf between the axis and the rim of the wheel? (Give \[1G={{10}^{-4}}\text{ }T\])
  A)
   \[2.46\times {{10}^{-4}}V\]     
  done clear
  B)
   \[6.28\times {{10}^{-4}}V\]
  done clear
  C)
   \[5.76\times {{10}^{-5}}V\]     
  done clear
  D)
   \[4.92\times {{10}^{-4}}V\]
  done clear
  View Answer play_arrow

• question_answer22) In a circuit, 3 resistors of resistance \[1.2\Omega \]\[1.2\,\,\Omega ,\]\[2\,\,\Omega ,\] \[3\,\,\Omega ,\] are connected in parallel. The value of equivalent resistance is
  A)
   less than \[1.2\,\Omega \]
  done clear
  B)
   greater than \[1.2\,\Omega \]
  done clear
  C)
   between \[1.2\,\Omega \] and \[2\,\Omega \]
  done clear
  D)
   between \[2\,\Omega \] and \[3\,\Omega \]
  done clear
  View Answer play_arrow

• question_answer23) The magnetic field is absent in which one of the following physical situation?
  A)
   Surface of neutron star
  done clear
  B)
   Surface of the earth
  done clear
  C)
   Human nerve fiber
  done clear
  D)
   At some point on the axis of bar magnet
  done clear
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• question_answer24) What amount of energy is associated with mass of\[2.5\text{ }kg\]?
  A)
   \[6.27\times {{10}^{17}}\,\,J\]
  done clear
  B)
   \[4.27\times {{10}^{17}}J\]
  done clear
  C)
   \[0.27\times {{10}^{17}}\,J\]
  done clear
  D)
   \[2.27\times {{10}^{17}}\,J\]
  done clear
  View Answer play_arrow

• question_answer25) The ratio of radii of nuclei of two atoms of element of atomic mass numbers 27 and 64 is
  A)
   \[3:4\]            
  done clear
  B)
   \[4:3\]
  done clear
  C)
   \[9:16\]           
  done clear
  D)
   \[16:9\]
  done clear
  View Answer play_arrow

• question_answer26) MSI integrated chip contains
  A)
   less than 10 gates
  done clear
  B)
   10 to 100 gates
  done clear
  C)
   100 to 1000 gates
  done clear
  D)
   1000 to 10000 gates
  done clear
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• question_answer27) What is the torque of a force \[3\hat{i}+7\hat{j}+4\hat{k}\] about the origin, if the force acts on a particle whose position vector is \[2\hat{i}+2\hat{j}+1\hat{k}\]?
  A)
   \[\hat{i}-5\hat{j}+8\hat{k}\]
  done clear
  B)
   \[2\hat{i}+2\hat{j}+2\hat{k}\]
  done clear
  C)
   \[\hat{i}+\hat{j}+\hat{k}\]
  done clear
  D)
   \[3\hat{i}+2\hat{j}+3\hat{k}\]
  done clear
  View Answer play_arrow

• question_answer28) A message signal of frequency \[20\text{ }kHz\] and peak voltage of \[15\text{ }V\]is used to modulate a carrier wave of \[1000\text{ }kHz\]and peak voltage of\[30\text{ }V\]. The modulation index and upper side band are respectively
  A)
    \[0.50\]and \[1020\text{ }kHz\]
  done clear
  B)
   \[0.66\]and \[1020\text{ }kHz\]
  done clear
  C)
   \[0.50\]and \[980\text{ }kHz\]
  done clear
  D)
   \[0.66\]and \[980\text{ }kHz\]
  done clear
  View Answer play_arrow

• question_answer29) Calculate, the efficiency of the engine, if Carnot cycle operates at \[{{T}_{1}}=550\,K\] and \[{{T}_{2}}=320\,K\] producing \[2.3\text{ }kJ\]of mechanical work per cycle?
  A)
   \[0.418\] 
  done clear
  B)
   \[0.622\]  
  done clear
  C)
   \[0.823\]  
  done clear
  D)
   \[0.902\]
  done clear
  View Answer play_arrow

• question_answer30) Which of the following device is the application of photoelectric effect?
  A)
   Light emitting diode
  done clear
  B)
   Diode
  done clear
  C)
   Photocell          
  done clear
  D)
   Transistor
  done clear
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• question_answer31) The waves used for Line-of-Sight (LOS) communication are
  A)
   ground waves     
  done clear
  B)
   space waves
  done clear
  C)
   sound waves      
  done clear
  D)
   sky waves
  done clear
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• question_answer32) The inductance L of a solenoid depends upon its radius R as
  A)
   \[L\propto R\]           
  done clear
  B)
   \[L\propto 1/R\]
  done clear
  C)
   \[L\propto {{R}^{2}}\]  
  done clear
  D)
   \[L\propto {{R}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer33) How much revolution does the engine make during the time when a motor wheel with angular speed is increased from \[720\text{ }rpm\]to \[2820\text{ }rpm\]in \[1,4\,s\]?
  A)
   \[354\]            
  done clear
  B)
   \[490\]
  done clear
  C)
   \[413\]             
  done clear
  D)
   \[620\]
  done clear
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• question_answer34) If the pressure at half of the lake is equal to 1/3 pressure at the bottom of the lake, what is the depth of the lake? (Assume \[g=10\text{ }m/{{s}^{2}}\]and \[1\text{ }atm=1\times {{10}^{5}};\] \[\rho \]p water\[={{10}^{3}}\])
  A)
   \[9.6\text{ }m\]  
  done clear
  B)
   \[7.5\text{ }m\]   
  done clear
  C)
   \[4.4\text{ }m\]  
  done clear
  D)
   \[3.2\text{ }m\]
  done clear
  E)
  Not Available
  done clear
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• question_answer35) The value of Rydberg constant is
  A)
   \[1.997\times {{10}^{7}}\text{ }{{m}^{-1}}\]   
  done clear
  B)
   \[1.097\times {{10}^{-7}}\text{ }m\]
  done clear
  C)
   \[1.097\times {{10}^{7}}{{m}^{-1}}\]    
  done clear
  D)
   \[19.97\times {{10}^{7}}\,{{m}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer36) A car moving on a straight road covers \[1/3\] of the distance with \[25\text{ }km/h\] and rest with'\[75\text{ }km/h\]. The average speed is
  A)
   \[25\text{ }km/h\]          
  done clear
  B)
   45 km/h
  done clear
  C)
   \[55\text{ }km/h\]          
  done clear
  D)
   \[~75\text{ }km/h\]
  done clear
  View Answer play_arrow

• question_answer37) The distance at which average radius of the earth orbit subtends an angle of \[1\text{ }arc\]second is
  A)
   parsec            
  done clear
  B)
   astronomical unit
  done clear
  C)
   light year          
  done clear
  D)
   unified atomic unit
  done clear
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• question_answer38) What happens to the acceleration due to gravity with the increase in altitude from the surface of the earth?
  A)
   Increase
  done clear
  B)
   Decrease
  done clear
  C)
   First decrease and then increase
  done clear
  D)
   Remains same
  done clear
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• question_answer39) Lenz's law is a consequence of the law of conservation of.
  A)
   charge           
  done clear
  B)
   mass
  done clear
  C)
   momentum       
  done clear
  D)
   energy
  done clear
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• question_answer40) The angle between the true geographic north and the north shown by a compass needle is called as
  A)
   inclination         
  done clear
  B)
   magnetic declination
  done clear
  C)
   angle of meridian  
  done clear
  D)
   magnetic pole
  done clear
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• question_answer41) An air bubble of \[2\text{ }c{{m}^{3}}\]rises from the bottom of a lake of \[32\text{ }m\]at a temperature of \[{{9}^{o}}C\]. When the bubble reaches the surface of the lake from the bottom of the lake, what volume does it grows for which temperature is \[{{30}^{o}}C\](assume \[g=10m/{{s}^{2}}\]and density\[\rho ={{10}^{3}}\text{ }kg/{{m}^{3}}\])
  A)
   \[5.937\text{ }c{{m}^{3}}\]       
  done clear
  B)
   \[8.937\text{ }c{{m}^{3}}\]
  done clear
  C)
   \[~12.937\,\,c{{m}^{3}}\]       
  done clear
  D)
   \[16.937\,\,c{{m}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer42) Which quantity is transmitted with propagation of longitudinal waves through a medium?
  A)
   Dispersion        
  done clear
  B)
   Energy
  done clear
  C)
   Matter            
  done clear
  D)
   Frequency
  done clear
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• question_answer43) A monochromatic light of frequency \[3\times {{10}^{14}}\,\,Hz\] is produced by a Laser, emits the power of \[3\times {{10}^{-3}}W\]. Find, how many number of photons are emitted per second
  A)
   \[1.5\times {{10}^{16}}\]         
  done clear
  B)
   \[2.5\times {{10}^{16}}\]
  done clear
  C)
   \[4.5\times {{10}^{16}}\]     
  done clear
  D)
   \[8.5\times {{10}^{16}}\]
  done clear
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• question_answer44) A mountaineer standing on the edge of a cliff \[441\,\,m\]above the ground throws a stone horizontally with an initial speed of \[20\text{ }m/s\]. What is the speed with which the stone reaches the ground?
  A)
   \[90\text{ }m/s\]            
  done clear
  B)
   \[95.08\text{ }m/s\]
  done clear
  C)
   \[85\text{ }m/s\]            
  done clear
  D)
   \[92\text{ }m/s\]
  done clear
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• question_answer45) A zener diode is used as
  A)
   an amplifier        
  done clear
  B)
   a rectifier
  done clear
  C)
   a voltage regulator 
  done clear
  D)
   a light emitting device
  done clear
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• question_answer46) In which of the following does the intensity of sound vary with time?
  A)
   Doppler effect     
  done clear
  B)
   Beats
  done clear
  C)
   Transverse waves  
  done clear
  D)
   Longitudinal waves
  done clear
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• question_answer47) A solid cylindrical of mass \[30\text{ }kg\]rotates about its axis with an angular speed of \[50\text{ }rad/s\]. What is the KE associated with the rotation of the cylinder,(if the radius of the cylinder is\[0.30\,\,m\]?
  A)
   \[1500.5\text{ }J\]          
  done clear
  B)
   \[1687.5\text{ }J\]
  done clear
  C)
   \[2000.7\text{ }J~\]        
  done clear
  D)
   \[1350.0\text{ }J\]
  done clear
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• question_answer48) The circuits that make rippled AC to pure DC are known as
  A)
   DC converters     
  done clear
  B)
   junction diodes
  done clear
  C)
   bipolar transistors 
  done clear
  D)
   filters
  done clear
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• question_answer49) A string of mass \[3\text{ }kg\]is under tension of\[400\text{ }N\] The length of the stretched string is \[25\text{ }cm\]. If the transverse jerk is stuck at one end of the string' how long does the disturbance take to reach the other end?
  A)
   \[0.047\,\,s\]          
  done clear
  B)
   \[0.055\,\,s\]
  done clear
  C)
   \[0.034\text{ }s\]          
  done clear
  D)
   \[0.065\text{ }s\]
  done clear
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• question_answer50) The total energy of an electron in 4th orbit of hydrogen atom is
  A)
   \[-13.6\,\,eV\]         
  done clear
  B)
   \[-3.4\,\,eV\]
  done clear
  C)
   \[-1.51\,\,eV\]        
  done clear
  D)
   \[-0.85\,\,eV\]
  done clear
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• question_answer51) The graph between voltage and current across a conductor that follows Ohm's law is
  A)
   straight line        
  done clear
  B)
   parabolic
  done clear
  C)
   sine-curve         
  done clear
  D)
   cos-curve
  done clear
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• question_answer52) An athlete throws the shot-put of mass \[4\text{ }kg\]with initial speed of  \[2.2\text{ }m{{s}^{-1}}\] at \[{{41}^{o}}\] from a height of \[1.3\text{ }m\]from the ground. What is the KE of the shot-put when it reaches the ground? (Ignoring the air resistance and gravity \[g=9.8m/{{s}^{2}}\])
  A)
   \[42.84\text{ }J\]            
  done clear
  B)
   \[52.84\text{ }J\]
  done clear
  C)
   \[62.84\text{ }J\]            
  done clear
  D)
   \[72.84\text{ }J\]
  done clear
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• question_answer53) Two bulbs operating on standard voltage \[110V\] have resistances in the ratio\[9:16\]. The ratio of brightness of light from them is
  A)
   \[9:16\]         
  done clear
  B)
   \[16:9\]
  done clear
  C)
   \[3:4\]           
  done clear
  D)
   \[4:3\]                                                                    
  done clear
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• question_answer54) The neutral point on potentiometer's scale for two cells of EMF \[2.1\] and E volts is observed at distances  \[40\text{ }cm\]and  \[56\text{ }cm\]respectively. The value of E is
  A)
   \[2.10\,\,V\]             
  done clear
  B)
   \[2.94\,\,V\]
  done clear
  C)
   \[1.50\,\,V\]             
  done clear
  D)
   \[~1.20\,\,V\]
  done clear
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• question_answer55) Which one of the following equation is Torricelli law?
  A)
   \[P=\rho gh\]        
  done clear
  B)
   \[v=\sqrt{2hg}\]
  done clear
  C)
   \[\eta {{R}_{e}}=\rho vd\]       
  done clear
  D)
   \[S\,(2dI)=Fd\]
  done clear
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• question_answer56) Which of the law representing Maxwell's third equation?
  A)
   Gauss's law for electricity
  done clear
  B)
   Ampere-Maxwell law
  done clear
  C)
   Gauss's law of magnetism
  done clear
  D)
   Faraday's law
  done clear
  View Answer play_arrow

• question_answer57) A silver wire has a resistance of \[1.6\text{ }\Omega \]. At \[{{25.5}^{o}}C,\] and a resistance of \[2.5\text{ }\Omega \]. at  \[{{100}^{o}}C,\] then temperature coefficient of resistivity of silver is
  A)
   \[5.55\times {{10}^{-3}}\,{{\,}^{o}}C\]     
  done clear
  B)
   \[7.55\times {{10}^{-3}}\,{{\,}^{o}}C\]
  done clear
  C)
   \[11.75\times {{10}^{-2}}\,{{\,}^{o}}C\]    
  done clear
  D)
   \[15.5\times {{10}^{-3}}\,{{\,}^{o}}C\]
  done clear
  View Answer play_arrow

• question_answer58) When a particle returns to its initial point, its
  A)
   displacement is zero
  done clear
  B)
   average velocity is zero
  done clear
  C)
   distance is zero
  done clear
  D)
   average speed is zero
  done clear
  View Answer play_arrow

• question_answer59) A body weight \[45\text{ }N\]on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half of the radius of the earth?
  A)
   \[20\,\,N\]  
  done clear
  B)
   \[45\,\,N\]   
  done clear
  C)
   \[40\text{ }N\] 
  done clear
  D)
   \[90\text{ }N\]
  done clear
  View Answer play_arrow

• question_answer60) The angle of a prism is \[{{42}^{o}}\] and refractive index of its material is\[3/2\]. Then, angle of minimum deviation for this prism is
  A)
   \[{{63}^{o}}\]   
  done clear
  B)
   \[{{42}^{o}}\]    
  done clear
  C)
   \[{{28}^{o}}\]    
  done clear
  D)
   \[{{21}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer61) A conducting sphere of radius \[5\text{ }cm\]has an unknown charge. The electric field at \[10\text{ }cm\] from the centre of the sphere is \[1.8\times {{10}^{3}}\text{ }N/C\] and points radially inward. What is the net charge on the sphere?
  A)
   \[1.8\,\,nC\]
  done clear
  B)
   \[2\,\,nC\]
  done clear
  C)
   \[1\,\,nC\]  
  done clear
  D)
   \[1.5\,\,nC\]
  done clear
  View Answer play_arrow

• question_answer62) For transistors the value of \[\beta \] is 50 then, the value of a is
  A)
   \[50/51\]  
  done clear
  B)
   \[49/50\] 
  done clear
  C)
   \[51/50\]  
  done clear
  D)
   \[50/49\]
  done clear
  View Answer play_arrow

• question_answer63) An infinite line charge produces a field of \[18\times {{10}^{5}}\text{ }N/C\]at a distance of \[4\text{ }cm\]. What is the linear charge density?
  A)
   \[18\,\mu \,C/m\]
  done clear
  B)
   \[5\,\mu \,C/m\]        
  done clear
  C)
   \[4\,\mu \,C/m\]
  done clear
  D)
   \[10\,\mu \,C/m\]
  done clear
  View Answer play_arrow

• question_answer64) What is the fraction of molecular volume to the actual volume occupied by oxygen gas at STP? Given, the diameter of oxygen molecule is \[2\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\].
  A)
   \[1.75\times {{10}^{-4}}\]       
  done clear
  B)
   \[1.5\times {{10}^{-4}}\]
  done clear
  C)
   \[12\times {{10}^{-4}}\]         
  done clear
  D)
   \[1.125\times {{10}^{-4}}\]
  done clear
  View Answer play_arrow

• question_answer65) A \[400\text{ }pF\]capacitor is charged by a' \[100\text{ }V\] supply. How much electrostatic energy is lost in the process of disconnecting from the supply and connecting another uncharged \[400\text{ }pF\] capacitor?
  A)
   \[{{10}^{-5}}\,\,J\]          
  done clear
  B)
   \[{{10}^{-6}}\,\,J\]
  done clear
  C)
   \[{{10}^{-7}}\,\,J\]
  done clear
  D)
   \[{{10}^{-4}}\,\,J\]
  done clear
  View Answer play_arrow

• question_answer66) The ratio of magnitude of electric displacement  and electric field (E) is
  A)
   charge density
  done clear
  B)
   permittivity
  done clear
  C)
   electric susceptibility
  done clear
  D)
   dielectric constant
  done clear
  View Answer play_arrow

• question_answer67) An object is gently placed on a long converges belt moving with \[11\text{ }m{{s}^{-1}}\]. If the coefficient of friction is \[0.4,\] then the block will slide in the belt up to a distance of
  A)
   \[10.21\,\,m\]          
  done clear
  B)
   \[15.43\,\,m\]
  done clear
  C)
   \[20.3\text{ }m\]            
  done clear
  D)
   \[25.6\text{ }m\]
  done clear
  View Answer play_arrow

• question_answer68) A spring balance has a scale that reads from \[0\]to\[60\text{ }kg\]. The length of the scale is \[30\text{ }cm\]. A body suspended from this balance and when displaced and released, oscillates with a period of \[0.8\text{ }s,\] what is the weight of the body when oscillating?
  A)
   \[350.67\text{ }N\]          
  done clear
  B)
   \[540.\text{ }11\text{ }N\]
  done clear
  C)
   \[311.24\,\,N\]          
  done clear
  D)
   \[300.5\text{ }N\]
  done clear
  View Answer play_arrow

• question_answer69) The magnetic needle has magnetic moment \[8.7\times {{10}^{-2}}\text{ }A-{{m}^{2}}\]and moment of inertia\[11.5\times {{10}^{-6}}\text{ }kg-{{m}^{2}}\]. It performs 10 complete oscillations in \[6.70\text{ }s,\] what is the magnitude of the magnetic field?
  A)
   \[0.012\text{ }T\]          
  done clear
  B)
   \[0.120\text{ }T\]
  done clear
  C)
   \[1.200\,\,T\]          
  done clear
  D)
   \[2.10\,\,T\]
  done clear
  View Answer play_arrow

• question_answer70) The distance for which ray optics is good approximation for an aperture \[5\,\,mm\]and wavelength \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\]is
  A)
   \[18\,m\]            
  done clear
  B)
   \[30\,\,m\]
  done clear
  C)
   \[38\,\,m\]            
  done clear
  D)
   \[50\,\,m\]
  done clear
  View Answer play_arrow

• question_answer71) A compound microscope has a magnification of\[30\]. The focal length of the eye-piece is \[5\text{ }cm\] If the final image is formed at the least distance of distinct vision \[(25\,\,cm)\] the magnification produced by the objective is
  A)
   \[10\]     
  done clear
  B)
   \[7.5\]
  done clear
  C)
   \[5\]  
  done clear
  D)
   \[15\]
  done clear
  View Answer play_arrow

• question_answer72) Which of the following relation is called mirror equation?
  A)
   \[u/v+f/u=1f\]    
  done clear
  B)
   \[1/v+1/u=1f\]
  done clear
  C)
   \[1/f+u=1/v\]     
  done clear
  D)
   \[uf+vf=uv\]
  done clear
  View Answer play_arrow

• question_answer73) A stone of mass \[0.05\text{ }kg\] is thrown vertically upwards. What is the direction and magnitude of the net force on the stone during its upward motion?
  A)
   \[0.49\text{ }N\]vertically downward direction
  done clear
  B)
   \[0.49\text{ }N\] vertically upwards direction
  done clear
  C)
   \[0.05\text{ }N\]vertically downwards direction
  done clear
  D)
   \[9.8\text{ }N\]vertically upwards direction
  done clear
  View Answer play_arrow

• question_answer74) Two different coils have self-inductance \[{{L}_{1}}=8\,\,mH,\]\[{{L}_{2}}=2\,\,mH,\] The current in one coil is increased at a constant rate. The current in the second coil is also increased at the same rate. At a certain instant of time, the power given to the two coils is the same. At that time the current, the induced voltage and the energy stored in the first coil are \[{{i}_{1}},\,\,{{V}_{1}}\] and \[{{W}_{1}}\] respectively. Corresponding values for the second coil at the same instant are \[{{i}_{2}},\,{{V}_{2}}\] and \[{{W}_{2}}\] respectively. Then,
  A)
   \[{{W}_{2}}/{{W}_{1}}=8\]
  done clear
  B)
   \[{{W}_{2}}/{{W}_{1}}=1/8\]
  done clear
  C)
   \[{{W}_{2}}/{{W}_{1}}=4\]
  done clear
  D)
   \[{{W}_{2}}/{{W}_{1}}=1/4\]
  done clear
  View Answer play_arrow

• question_answer75) A concave mirror of focal length 'f produces a real image n times the size of the object. The distance of the object from the mirror is
  A)
   \[(n-1)f\]
  done clear
  B)
   \[(n+1)f\]
  done clear
  C)
   \[(n+1)f/n\]
  done clear
  D)
   \[(n-1)f/n\]
  done clear
  View Answer play_arrow

• question_answer76) Which of the following mentioned is a type of hydrocarbon?
  A)
   Saturated hydrocarbons
  done clear
  B)
   Unsaturated hydrocarbons
  done clear
  C)
   Aromatic hydrocarbons
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer77) The process of formation of polymers from respective monomers is called
  A)
   polyacrylonitrile
  done clear
  B)
   copolymerisation
  done clear
  C)
   polymerization
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer78) Energy of one mole of photons of radiation whose frequency is \[5\times {{10}^{14}}\,Hz\]is
  A)
   \[199.51\text{ }kJ\text{ }mo{{l}^{-1}}\]
  done clear
  B)
  \[~189.51\text{ }kJ\,mo{{l}^{-1}}\]
  done clear
  C)
   \[198.51\,kJ\,mo{{l}^{-1}}\]
  done clear
  D)
  \[188.51\,kJ\,mo{{l}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer79) The total number of orbitals associated with the principal quantum number \[n=3\]is
  A)
   9                
  done clear
  B)
   8
  done clear
  C)
   5                
  done clear
  D)
   7
  done clear
  View Answer play_arrow

• question_answer80) Mass number of an atom is the sum of
  A)
   number of protons + number of neutrons + number of electrons
  done clear
  B)
   number of protons + number of neutrons
  done clear
  C)
   number of protons + number of electrons
  done clear
  D)
   number of electrons + number of neutrons
  done clear
  View Answer play_arrow

• question_answer81) Which of the following is used in the manufacture of alloys?
  A)
   Lithium            
  done clear
  B)
   Hatides
  done clear
  C)
   Plaster of Paris     
  done clear
  D)
   Beryllium
  done clear
  View Answer play_arrow

• question_answer82) Williamson's synthesis is used to prepare
  A)
   acetone           
  done clear
  B)
   PVC
  done clear
  C)
   ethers             
  done clear
  D)
   bakelite
  done clear
  View Answer play_arrow

• question_answer83) Which acid is present in vinegar?
  A)
   Formic acid
  done clear
  B)
   Acetic acid                 
  done clear
  C)
   Butyric acid        
  done clear
  D)
   Tartaric acid
  done clear
  View Answer play_arrow

• question_answer84) What is the percentage of free space in body centered cubic unit cell?
  A)
   32%            
  done clear
  B)
   20%
  done clear
  C)
   34%            
  done clear
  D)
   28%
  done clear
  View Answer play_arrow

• question_answer85) In the formation of\[\pi -\]bond, the atomic orbitals overlap in such a way that
  A)
   their axes remain parallel to each other and perpendicular to the internuclear axis
  done clear
  B)
   their axes remain parallel to each other and parallel to the internuclear axis
  done clear
  C)
   their axes remain perpendicular to each other and parallel to the internuclear axis
  done clear
  D)
   their axes remain perpendicular to each other and perpendicular to the internuclear axis
  done clear
  View Answer play_arrow

• question_answer86) What elements are present in\[f-\]block series?
  A)
   Lanthanoids
  done clear
  B)
   Actinoids
  done clear
  C)
   Lanthanoids and actinoids
  done clear
  D)
   Lipids
  done clear
  View Answer play_arrow

• question_answer87) What colour is imparted into the flame when lithium is burnt?
  A)
   Golden yellow     
  done clear
  B)
   Brick red
  done clear
  C)
   Crimson red       
  done clear
  D)
   Grassy green
  done clear
  View Answer play_arrow

• question_answer88) Which among the following is a non-colligative property?
  A)
   Elevation in boiling point         
  done clear
  B)
   Osmotic pressure
  done clear
  C)
   Refractive index
  done clear
  D)
   Lowering of vapour pressure
  done clear
  View Answer play_arrow

• question_answer89) Ethylene can be converted into alcohol by treatment of
  A)
  \[Aq.\text{ }KOH\]          
  done clear
  B)
   \[{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\]as catalyst
  done clear
  C)
   Moist silver oxide  
  done clear
  D)
  \[~Zn/HCl\]
  done clear
  View Answer play_arrow

• question_answer90) Negatively charged particles are called
  A)
   electrons          
  done clear
  B)
   protons
  done clear
  C)
   neutrons         
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer91) Atoms with identical atomic number but different atomic mass number are known as
  A)
   polymers         
  done clear
  B)
   isobars
  done clear
  C)
   isotopes           
  done clear
  D)
   isomers
  done clear
  View Answer play_arrow

• question_answer92) The colour of transition metal compound is due to        
  A)
   complete ns subshell
  done clear
  B)
   small size metal ions
  done clear
  C)
   incomplete \[(n-1)\,d\]subshell
  done clear
  D)
   absorption of light in UV region
  done clear
  View Answer play_arrow

• question_answer93) The mixture of reactants and products in the   equilibrium state is called?
  A)
   Chemical mixture             
  done clear
  B)
   Equilibrium mixture
  done clear
  C)
   Chemical equilibrium
  done clear
  D)
   Dynamic equilibrium
  done clear
  View Answer play_arrow

• question_answer94) Among the following molecule which has the zero dipole moment?
  A)
  \[B{{F}_{3}}\]
  done clear
  B)
  \[{{H}_{2}}O\]
  done clear
  C)
   \[N{{F}_{3}}\]
  done clear
  D)
  \[Cl{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer95) Who has synthesised the organic compound 'urea' for the first time?
  A)
   Friedrich Wohler   
  done clear
  B)
   Berzelius
  done clear
  C)
   Kolbe          
  done clear
  D)
   Berthelot
  done clear
  View Answer play_arrow

• question_answer96) How much is the pH of human blood?
  A)
   5.2             
  done clear
  B)
   8.3
  done clear
  C)
   6.3             
  done clear
  D)
   7.4
  done clear
  View Answer play_arrow

• question_answer97) A reagent which lowers the oxidation number of an element in a given substance in known as
  A)
   oxidising agent    
  done clear
  B)
   reduction
  done clear
  C)
   reducing agent    
  done clear
  D)
   oxidation
  done clear
  View Answer play_arrow

• question_answer98) Sodium carbonate is manufactured by
  A)
   Castner-Kellner
  done clear
  B)
   Solvay process
  done clear
  C)
   oxidation              
  done clear
  D)
   transmission process
  done clear
  View Answer play_arrow

• question_answer99)  EDTA can form complex with how many number of donor atoms?
  A)
   One              
  done clear
  B)
   Two
  done clear
  C)
   Six              
  done clear
  D)
   Three
  done clear
  View Answer play_arrow

• question_answer100) Henry's law constant value for\[{{O}_{2}}\] in water is
  A)
   46.82
  done clear
  B)
   43.86
  done clear
  C)
   88.84              
  done clear
  D)
   76.48
  done clear
  View Answer play_arrow

• question_answer101) Polycondensation products of dicarboxylic acids and diols are
  A)
   polyamides        
  done clear
  B)
   neoprene
  done clear
  C)
   glyptal            
  done clear
  D)
   polyesters
  done clear
  View Answer play_arrow

• question_answer102) The attractive force which holds various constituents together in different chemical species is called
  A)
   valence bond
  done clear
  B)
   chemical bond
  done clear
  C)
   atomic bond
  done clear
  D)
   electrovalent bond
  done clear
  View Answer play_arrow

• question_answer103) What are lanthanides and actinides?
  A)
   Inner transition element
  done clear
  B)
   Noble gas
  done clear
  C)
   Normal element
  done clear
  D)
   Transition element
  done clear
  View Answer play_arrow

• question_answer104) Compounds having the same molecular formula but different structures are classified as
  A)
   functional group isomers
  done clear
  B)
   structural isomers
  done clear
  C)
   optical isomerism
  done clear
  D)
   Metamerism
  done clear
  View Answer play_arrow

• question_answer105) Gas constant is equal to the
  A)
   product of two specific heat
  done clear
  B)
   difference of two specific heat
  done clear
  C)
   ratio of two specific heat
  done clear
  D)
   sum of two specific heat
  done clear
  View Answer play_arrow

• question_answer106) The colour in the coordination compounds can be readily explained in terms of
  A)
   spectrochemistry
  done clear
  B)
   chelate effect
  done clear
  C)
   crystal field theory
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer107) Paramagnetism is exhibited due to which one of the following reason?
  A)
   Presence of unpaired electrons
  done clear
  B)
   Presence of completely filled electronic  subshell
  done clear
  C)
   By non-transition element
  done clear
  D)
   By elements with noble gas configuration
  done clear
  View Answer play_arrow

• question_answer108) Which one of the following acid does not have a carboxylic group?
  A)
   Methanoic acid
  done clear
  B)
   Ethanoic acid
  done clear
  C)
   Propanoic acid         
  done clear
  D)
   Picric acid
  done clear
  View Answer play_arrow

• question_answer109) How will you define the specific heat at constant volume?
  A)
   The amount of heat required to raise the temperature of unit mass of gas through one degree at constant pressure
  done clear
  B)
   The amount of heat required to raise the temperature of 1 kg of water through one degree
  done clear
  C)
   The amount of heat required to raise the temperature of unit mass of gas through one degree at constant volume
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer110) The chief commercial use of amines as intermediates in the synthesis of
  A)
   medicines
  done clear
  B)
   fibers
  done clear
  C)
   medicines and fibers
  done clear
  D)
   proteins
  done clear
  View Answer play_arrow

• question_answer111) Silver, gold, platinum, iron, copper and titanium are part of the
  A)
   minerals           
  done clear
  B)
   transition metals
  done clear
  C)
   salts               
  done clear
  D)
   All of these
  done clear
  View Answer play_arrow

• question_answer112) Wood spirit is known as
  A)
   Ethanol           
  done clear
  B)
   Methanol
  done clear
  C)
   Propanol          
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer113) What is the value of 1/n in Freundlich adsorption isotherm2
  A)
   Between 2 and 4 in all cases
  done clear
  B)
   Between 0 and 1 in all cases
  done clear
  C)
   1 in case of chemisorptions
  done clear
  D)
   1 in case of physical adsorption
  done clear
  View Answer play_arrow

• question_answer114) What is the product of reaction between calcium carbide and water?
  A)
   Ethylene          
  done clear
  B)
   Acetylene
  done clear
  C)
   Methane          
  done clear
  D)
   Benzene
  done clear
  View Answer play_arrow

• question_answer115) The crystal lattice of electrovalent compound is composed of
  A)
   oppositely charged ions
  done clear
  B)
   both molecules and ions
  done clear
  C)
   molecules
  done clear
  D)
   atoms
  done clear
  View Answer play_arrow

• question_answer116) Anti-Markownikoff addition of HBr is observed in
  A)
   propene           
  done clear
  B)
   but-2-ene
  done clear
  C)
   pent-2-ene        
  done clear
  D)
   All of these
  done clear
  View Answer play_arrow

• question_answer117) What kind of isomerism is exhibited by the  compounds\[C{{H}_{3}}C{{H}_{2}}CHO\]and  \[C{{H}_{3}}COC{{H}_{3}}?\]
  A)
   Geometrical isomerism
  done clear
  B)
   Functional isomers
  done clear
  C)
   Tautomers
  done clear
  D)
   Metamers
  done clear
  View Answer play_arrow

• question_answer118) Mass of a proton is
  A)
   0.00727 amu    
  done clear
  B)
   1.0087 amu
  done clear
  C)
   0.00054 amu     
  done clear
  D)
   1.00727 amu
  done clear
  View Answer play_arrow

• question_answer119) The concentration of hydrogen ion in a sample of soft drink is \[3.8\times {{10}^{-3}}M.\] What is its pH?
  A)
  \[3.84\]
  done clear
  B)
  \[2.42\]
  done clear
  C)
   \[4.44\]
  done clear
  D)
   \[1.42\]
  done clear
  View Answer play_arrow

• question_answer120) Which factor has no influence on the rate of reaction?
  A)
   Molecularity            
  done clear
  B)
   Temperature
  done clear
  C)
   Concentration of reactant
  done clear
  D)
   Nature of reactant
  done clear
  View Answer play_arrow

• question_answer121) What kinds of bonds are present in ethene molecule?
  A)
   1 pi and 5 sigma bonds
  done clear
  B)
   1 pi and 3 sigma bonds
  done clear
  C)
   1 sigma and 1 pi bonds
  done clear
  D)
   3 sigma and 3 pi bonds
  done clear
  View Answer play_arrow

• question_answer122) r. The smallest quantity of energy that can be emitted or absorbed in the form of electromagnetic radiation is known as
  A)
   quantum          
  done clear
  B)
   photon 
  done clear
  C)
   spectrum        
  done clear
  D)
   photoelectron
  done clear
  View Answer play_arrow

• question_answer123) Food preservatives prevent spoilage of food due to microbial growth. The most commonly used preservatives are
  A)
   table salt, sugar
  done clear
  B)
   vegetable oils and sodium benzoate
  done clear
  C)
   \[{{C}_{6}}{{H}_{5}}COONa\]
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer124) Based on which method amines are prepared?
  A)
   Reduction of nitro compounds
  done clear
  B)
   Ammonolysis of alkyl halides
  done clear
  C)
   Reduction of nitrites and amides
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer125) All substances that conduct electricity in aqueous solutions are called?
  A)
   Electrolytes         
  done clear
  B)
   Acids
  done clear
  C)
   Buffers             
  done clear
  D)
   Catalyst
  done clear
  View Answer play_arrow

• question_answer126) In which year, IUPAC draft recommends that anionic ligands will end with-ido so that chloro would become chloride
  A)
   1994  
  done clear
  B)
   1984   
  done clear
  C)
   2000  
  done clear
  D)
   2004
  done clear
  View Answer play_arrow

• question_answer127) Use of chemicals for therapeutic effect is called
  A)
   medicines
  done clear
  B)
   chemotherapy
  done clear
  C)
   drug-target interaction
  done clear
  D)
   phototherapy
  done clear
  View Answer play_arrow

• question_answer128) What is the type of hybridisation found in methane?
  A)
  \[s{{p}^{3}}\]
  done clear
  B)
  \[s{{p}^{2}}\]
  done clear
  C)
   \[sp\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer129) Addition of oxygen to an element or a  compound is termed as
  A)
   oxidation          
  done clear
  B)
   reduction
  done clear
  C)
   ionisation          
  done clear
  D)
   redox reaction
  done clear
  View Answer play_arrow

• question_answer130) Molality of 2.5 g of ethanoic acid \[(C{{H}_{3}}COOH)\] in 75 g of benzene is
  A)
  \[~0.565\text{ }mol\text{ }k{{g}^{-1}}\]     
  done clear
  B)
  \[~0.656\text{ }mol\text{ }k{{g}^{-1}}\]
  done clear
  C)
  \[~0.556\text{ }mol\text{ }k{{g}^{-1}}\]     
  done clear
  D)
  \[0.665\text{ }mol\text{ }k{{g}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer131) It has been found that for a chemical reaction with rise in temperature by\[{{10}^{o}},\]the rate constant is                                     
  A)
   nearly doubled    
  done clear
  B)
   nearly tripled
  done clear
  C)
   increases 5 times  
  done clear
  D)
   increases 4 times
  done clear
  View Answer play_arrow

• question_answer132) Carbonyl compounds are constituents of
  A)
   fabrics, drugs      
  done clear
  B)
   fabrics, plastics           
  done clear
  C)
   flavourings, plastics
  done clear
  D)
   All of these
  done clear
  View Answer play_arrow

• question_answer133) What is IUPAC name of \[iso-\]propylamine?
  A)
   Propan-2-amine   
  done clear
  B)
   Ethanamine             
  done clear
  C)
   2-aminotoluene    
  done clear
  D)
   Propan-1 -amine
  done clear
  View Answer play_arrow

• question_answer134) lonization energy and electron affinity are defined at
  A)
   enthalpy           
  done clear
  B)
   spontaneity
  done clear
  C)
   equilibrium     
  done clear
  D)
   absolute zero
  done clear
  View Answer play_arrow

• question_answer135) When acetaldehyde is heated with dilute sodium hydroxide solution, the product is
  A)
   ethanol and sodium acetate
  done clear
  B)
   paraldehyde
  done clear
  C)
   aldol
  done clear
  D)
   brown resin
  done clear
  View Answer play_arrow

• question_answer136) Monovalent sodium and potassium ions, divalent magnesium and calcium ions are found in
  A)
   lipids              
  done clear
  B)
   biological fluids
  done clear
  C)
   fats                
  done clear
  D)
   enzymes
  done clear
  View Answer play_arrow

• question_answer137) The removal of an electron from an atom results in the formation of
  A)
   anion             
  done clear
  B)
   anode
  done clear
  C)
   cation             
  done clear
  D)
   cathode
  done clear
  View Answer play_arrow

• question_answer138) Which compound is responsible for perfumery?
  A)
   Ketones           
  done clear
  B)
   Ethers
  done clear
  C)
   Alcohols           
  done clear
  D)
   Esters
  done clear
  View Answer play_arrow

• question_answer139) Which is the metal present in the coordination compound chlorophyll?
  A)
   Ca             
  done clear
  B)
   Mg
  done clear
  C)
   K              
  done clear
  D)
   Na 
  done clear
  View Answer play_arrow

• question_answer140) 45 g of ethylene glycol \[({{C}_{2}}{{H}_{6}}{{O}_{2}})\] is mixed with 600 g of water, what is the depression of freezing point?
  A)
   7.9 K                
  done clear
  B)
   2.5 K
  done clear
  C)
   6.6 K                
  done clear
  D)
   2.2 K
  done clear
  View Answer play_arrow

• question_answer141) In \[\text{B}{{\text{r}}_{\text{3}}}{{\text{O}}_{\text{8}}}\]compound, oxidation number of bromine is
  A)
   16/13            
  done clear
  B)
   26/3
  done clear
  C)
   24/3             
  done clear
  D)
   16/3
  done clear
  View Answer play_arrow

• question_answer142) How many octahedral void(s) are present per atom in a cubic close - packed structure?
  A)
   3               
  done clear
  B)
   4
  done clear
  C)
   1               
  done clear
  D)
   2
  done clear
  View Answer play_arrow

• question_answer143) Lithium shows diagonal relationship with
  A)
   sodium           
  done clear
  B)
   magnesium            
  done clear
  C)
   calcium          
  done clear
  D)
   aluminium
  done clear
  View Answer play_arrow

• question_answer144) Why d-block element form complexes?
  A)
   Due to large size and high nuclear charge
  done clear
  B)
   Due to small size and low nuclear charge
  done clear
  C)
   Due to small size and high nuclear charge
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer145) What is conductance?
  A)
   Inverse of resistance
  done clear
  B)
   Proportional of resistance
  done clear
  C)
   Equal of resistivity
  done clear
  D)
   Equal of resistance
  done clear
  View Answer play_arrow

• question_answer146) Which is the correct statement about solid?
  A)
   Very high compressibility
  done clear
  B)
   Maximum intermolecular distance
  done clear
  C)
   Definite mass but no definite volume
  done clear
  D)
   Maximum intermolecular force of attraction
  done clear
  View Answer play_arrow

• question_answer147) The enthalpy change accompanying a reaction is called
  A)
   reaction enthalpy
  done clear
  B)
   standard enthalpy
  done clear
  C)
   thermochemical equation
  done clear
  D)
   enthalpy of atomization
  done clear
  View Answer play_arrow

• question_answer148) According to IUPAC system, what is the correct   name   of   the   compound\[[Cr{{(N{{H}_{3}})}_{3}}{{({{H}_{2}}O)}_{3}}]C{{l}_{3}}\]
  A)
   triamminetriaquachromium \[(III)\] chloride
  done clear
  B)
   triamminetriaquachromiumchloride \[(III)\]
  done clear
  C)
   tetraammoniumtriaquachromium \[(III)\] chloride
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer149) The relative ease of dehydration of alcohols follows following order
  A)
   tertiary > secondary > primary
  done clear
  B)
   primary > secondary > tertiary
  done clear
  C)
   secondary > tertiary > primary
  done clear
  D)
   tertiary > primary > secondary
  done clear
  View Answer play_arrow

• question_answer150) What is the unit of zero order reaction?
  A)
   \[mol\,L\,{{s}^{-1}}\]
  done clear
  B)
  \[{{S}^{-1}}\]
  done clear
  C)
   \[L\,mo{{l}^{-1}}{{s}^{-1}}\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer151) Find the value of \[\cos \,\,(29\pi /3)?\]
  A)
   \[1\]
  done clear
  B)
   \[0\]
  done clear
  C)
   \[\frac{\sqrt{3}}{2}\]                
  done clear
  D)
   \[1/2\]
  done clear
  View Answer play_arrow

• question_answer152) Find the derivative of \[\sqrt{2}x+2\sqrt{x}-\frac{1}{x}\]?
  A)
   \[\sqrt{2}+1/\sqrt{x}(1-1/2x)\]
  done clear
  B)
   \[\sqrt{2}-1/\sqrt{x}(1+1/2x)\]
  done clear
  C)
   \[\sqrt{2}-1/\sqrt{x}(1-1/2x)\]
  done clear
  D)
   \[\sqrt{2}+1/\sqrt{x}(1+1/2x)\]
  done clear
  View Answer play_arrow

• question_answer153) Solve \[\frac{dy}{dx}+\frac{y}{x}={{x}^{3}}\]
  A)
   \[y=\frac{{{x}^{4}}}{5}+Cx\]
  done clear
  B)
   \[y=\frac{{{x}^{3}}}{3}+Cx\]
  done clear
  C)
   \[y=\frac{{{x}^{3}}}{3}+C\]
  done clear
  D)
   \[y=\frac{{{x}^{4}}}{4}+x\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer154) Given two vectors are \[\hat{i}-\hat{j}\] and \[\hat{i}+2\hat{j},\] the unit vector is coplanar with the two vectors and perpendicular to the first. Find the vector?
  A)
   \[+\frac{1}{\sqrt{2}}\,(i+k)\]      
  done clear
  B)
   \[+\frac{1}{\sqrt{5}}\,(2i+j)\]
  done clear
  C)
    \[+\frac{1}{\sqrt{2}}\,(i+j)\]         
  done clear
  D)
   \[+\frac{1}{\sqrt{2}}\,(2i+3j)\]
  done clear
  View Answer play_arrow

• question_answer155) Solve the linear programming problem: max \[Z=x+2y\]subject to constraints: \[x-y\le 10,\]\[2x+3y\le 20.\],
  A)
   \[max\text{ }Z=10~\]
  done clear
  B)
   \[max\text{ }Z=30\]
  done clear
  C)
   \[max\text{ }2=40\]       
  done clear
  D)
   \[max\text{ }Z=50\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer156) Find the intersection of the spheres \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+7x-2y-z=13\] and \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-3x+3y+4z=8\]
  A)
   \[x-y-z=1\]
  done clear
  B)
   \[x-2y-z=1\]
  done clear
  C)
   \[x-y-2z=1\]
  done clear
  D)
   \[2x-y-z=1\]
  done clear
  View Answer play_arrow

• question_answer157) Convert \[(i+1)/(\cos \,\pi /4)-i\,\sin (\pi /4)\] in polar form?
  A)
   \[\cos \,(\pi /4)+i\,sin\,(\pi /4)\]
  done clear
  B)
   \[\cos \,(\pi /2)+i\,\sin \,(\pi /2)\]
  done clear
  C)
   \[\sqrt{2}\,(\cos \,(\pi /4)+i\,\sin (\pi /4))\]
  done clear
  D)
   \[\sqrt{2}\,(\cos \,(\pi /2)\,+\,i\,\sin (\pi /2))\]
  done clear
  View Answer play_arrow

• question_answer158) Solve \[{{\sin }^{-1}}\,2x+{{\cos }^{-1}}\,2x+2\,{{\tan }^{-1}}\,x=\pi \]
  A)
   \[1\]     
  done clear
  B)
   \[0\]     
  done clear
  C)
   \[-1\]    
  done clear
  D)
   \[1/\sqrt{2}\]
  done clear
  View Answer play_arrow

• question_answer159) For what values of x, the numbers \[-1,\,x,-3/4\] are in GP?
  A)
   \[3/2\]              
  done clear
  B)
   \[\sqrt{3}/4\]
  done clear
  C)
   \[\sqrt{3}/2\]            
  done clear
  D)
   \[3/\sqrt{2}\]
  done clear
  View Answer play_arrow

• question_answer160) \[{{(1+i)}^{3}}+{{(1-i)}^{3}}\]
  A)
   \[1\]      
  done clear
  B)
   \[-2\]     
  done clear
  C)
   \[0\]      
  done clear
  D)
   \[-4\]
  done clear
  View Answer play_arrow

• question_answer161) Find the length of the diagonal of the parallelepiped formed by planes drawn through the points \[(2,3,5)\] and \[(5,9,7),\] parallel to the co-ordinate planes?
  A)
   \[\sqrt{38}\] units          
  done clear
  B)
   \[7\]nits
  done clear
  C)
   \[\sqrt{155}\] units         
  done clear
  D)
   \[13\]units
  done clear
  View Answer play_arrow

• question_answer162) If \[g(x)=({{x}^{2}}+2x+3)\,f(x),\,\,f(0)=5\] and \[{{\lim }_{x\to 0}}\,\frac{f(x)-5)}{x}=4,\]then \[f'(0)\] equal to
  A)
   \[22\]    
  done clear
  B)
   \[18\]     
  done clear
  C)
   \[20\]    
  done clear
  D)
   \[25\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer163) Find \[\int{\frac{1}{\sqrt{7-{{x}^{2}}}}\,dx}\]
  A)
   \[\frac{1}{2\sqrt{7}}\,\log \,\left| \frac{\sqrt{7+x}}{\sqrt{7-x}} \right|+C\]
  done clear
  B)
   \[{{\sin }^{-1}}\,\left( \frac{x}{\sqrt{7}} \right)+C\]
  done clear
  C)
   \[\log |x+\sqrt{{{x}^{2}}-7}|+C\]
  done clear
  D)
   \[\frac{1}{2\sqrt{7}}\log \,\left| \frac{x-\sqrt{7}}{x+\sqrt{7}} \right|+C\]
  done clear
  View Answer play_arrow

• question_answer164) Find the range of the function \[f:[0,\,1]\to R,\,\,f(x)={{x}^{3}}-{{x}^{2}}+4x+2{{\sin }^{-1}}x\]?
  A)
   \[[-(\pi +2),\,0]\]
  done clear
  B)
   \[[0,4+\pi ]\]
  done clear
  C)
   \[[2,3]\]
  done clear
  D)
   \[(0,\,2+\pi ]\]
  done clear
  View Answer play_arrow

• question_answer165) Solve the inequality \[3x+2>-16,\,2x-3\le 11\]
  A)
   \[(-6,7)\]      
  done clear
  B)
   \[[-6,7)\]
  done clear
  C)
   \[(-6,7]\]             
  done clear
  D)
   [-6, 7]
  done clear
  View Answer play_arrow

• question_answer166) Events A, B and C are mutually exclusive events such that \[P(A)=(3x+1)/3,\]  \[P(B)=(x-1)/4,\] \[P(C)=(1-2x)/2,\] Find the set of possible value of x in the interval.
  A)
   \[[-1/3,\,\,1/2]\]       
  done clear
  B)
   \[[1/3,\,2/3]\]
  done clear
  C)
   \[[1/3,\,13/3]\]       
  done clear
  D)
   \[[0,1]\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer167) If \[{{\cos }^{-1}}(2-{{x}^{2}})/(1+{{x}^{2}})+{{\tan }^{-1}}x=\pi /2,\], then x is equal to?
  A)
   \[0\]     
  done clear
  B)
   \[1\]      
  done clear
  C)
   \[\frac{1}{\sqrt{3}}\]     
  done clear
  D)
   \[\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer168) There are 7 horses in a race, Mr. X selected 2 horses at random and bet on them. The probability that Mr. X selected the winning horse, is
  A)
   \[1/7\]             
  done clear
  B)
   \[4/7\]
  done clear
  C)
   \[3/7\]             
  done clear
  D)
   \[2/7\]
  done clear
  View Answer play_arrow

• question_answer169) If \[{{x}^{y}}={{e}^{(x-y)}},\] then find \[dy/dx\]
  A)
   \[\log x/{{(1+\log x)}^{2}}\]
  done clear
  B)
   \[(\log x)\,/\,(1+\log x)\]
  done clear
  C)
   \[(1-\log x)\,/\,(1+\log x)\]
  done clear
  D)
   \[(\log x)\,/\,{{(1-\log x)}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer170) The mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively, find the value of \[P(X=1)\].
  A)
   \[1/4\]            
  done clear
  B)
   \[1/16\]
  done clear
  C)
   \[1/8\]           
  done clear
  D)
   \[1/32\]
  done clear
  View Answer play_arrow

• question_answer171) Find   the   domain   of   the   function \[f(x)=({{x}^{2}}+1)/({{x}^{2}}-3x+3)?\]
  A)
   \[R-\{1,\,\,2\}\]         
  done clear
  B)
   \[R-\{1,\,\,4\}\]
  done clear
  C)
   \[R\] 
  done clear
  D)
   \[R-\{\,1\,\}\]
  done clear
  View Answer play_arrow

• question_answer172) Let \[A\,\,(2,\,\,-3)\]and \[B\,\,(-2,\,\,1)\] be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line
  A)
   \[3x-2y=3\]    
  done clear
  B)
   \[2x+3y=9\]      
  done clear
  C)
   \[2x-3y=7\]     
  done clear
  D)
   \[3x-2y=5\]
  done clear
  View Answer play_arrow

• question_answer173) Find \[^{n}{{C}_{21}}\] if \[^{n}{{C}_{10}}{{=}^{n}}{{C}_{11}}.\]
  A)
   \[1\]                  
  done clear
  B)
   \[0\]
  done clear
  C)
   \[11\]                 
  done clear
  D)
   \[10\]
  done clear
  View Answer play_arrow

• question_answer174) 9th term in \[n(n-4)/({{n}^{2}}+1)\] is
  A)
   \[55/82\]          
  done clear
  B)
   \[40/82\]
  done clear
  C)
   \[45/82\]          
  done clear
  D)
   \[36/82\]
  done clear
  View Answer play_arrow

• question_answer175) Find the area of the triangle with vertices \[(2,3),\]\[(0,\,\,1)\]and \[(1,\,\,2)\].
  A)
   \[{\scriptstyle{}^{1}/{}_{2}}\]sq. unit          
  done clear
  B)
   \[1\] sq. unit
  done clear
  C)
   \[2\] sq. units         
  done clear
  D)
   \[2\,\,{\scriptstyle{}^{1}/{}_{2}}\]sq. units
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer176) Solve the system of linear equations \[x+y=1,\]\[x-2y=4\].
  A)
   \[x=2,y=-5\]    
  done clear
  B)
   \[x=1,y=2\]
  done clear
  C)
   \[x=2,\,y=-1\]
  done clear
  D)
   \[x=-1,y=2\]
  done clear
  View Answer play_arrow

• question_answer177) Find \[\frac{dy}{dx},\] if \[y={{\sin }^{2}}x+{{\cos }^{4}}x\]
  A)
   \[\frac{-\sin \,4x}{4}\]         
  done clear
  B)
   \[\frac{-\sin \,2x}{2}\]
  done clear
  C)
   \[\frac{\sin \,4x}{4}\]
  done clear
  D)
   \[\frac{-\sin \,4x}{2}\]
  done clear
  View Answer play_arrow

• question_answer178) A manufacturer has \[500\text{ }L\]of a \[10%\]solution of acid, find the range of 40% acid to be added to it y such that the acid content in the resultant mixture will be more than \[15%\] but less than \[20%\] .
  A)
   More than \[250\text{ }L\]and less than \[~300\]               
  done clear
  B)
   More than \[300\text{ }L\] and less than \[400\]
  done clear
  C)
   More than \[100\text{ }L\] and less than \[250\]
  done clear
  D)
   More than \[250\text{ }L\]and less than \[350\]
  done clear
  View Answer play_arrow

• question_answer179) If the eccentricity of an ellipse with its centre at the origin is \[1/2\] and one of its directrices is\[x=4,\]then find the equation of the ellipse
  A)
   \[3{{x}^{2}}+4{{y}^{2}}=1\]     
  done clear
  B)
   \[4{{x}^{2}}+3{{y}^{2}}=12\]
  done clear
  C)
   \[3{{x}^{2}}+4{{y}^{2}}=12\]    
  done clear
  D)
   \[4{{x}^{2}}+3{{y}^{2}}=12\]
  done clear
  View Answer play_arrow

• question_answer180) Integrate \[\frac{{{\sec }^{2}}\,({{\sin }^{-1}}x)}{\sqrt{1-{{x}^{2}}}}\]
  A)
   \[\sin \,({{\tan }^{-1}}x)+C\]
  done clear
  B)
   \[\tan \,({{\sec }^{-1}}x)+C\]
  done clear
  C)
   \[\tan \,({{\sin }^{-1}}x)+C\]
  done clear
  D)
   \[-\tan \,(co{{s}^{-1}}x)+C\]    
  done clear
  View Answer play_arrow

• question_answer181) A circle with centre \[(0,\,\,3)\] is passing through the  foci of the ellipse \[{{x}^{2}}/16+{{y}^{2}}/9=1.\] Find the  radius of the circle.                                    
  A)
   \[7/2\] units         
  done clear
  B)
   \[3\] units                        
  done clear
  C)
   \[4\] units            
  done clear
  D)
   \[\sqrt{12}\] units   
  done clear
  View Answer play_arrow

• question_answer182) Which term of the series \[\sqrt{2},2/3,\,2\sqrt{2}/9,....\]is \[16/2187\]?
  A)
   10th term          
  done clear
  B)
   8th term
  done clear
  C)
   9th term           
  done clear
  D)
   11th term
  done clear
  View Answer play_arrow

• question_answer183) Integrate \[\frac{1}{{{x}^{3}}\,({{x}^{2}}-1)}\]
  A)
   \[\frac{1}{3}\log \left| \frac{{{x}^{3}}}{{{x}^{3}}-1} \right|+C\]
  done clear
  B)
   \[\frac{1}{3}\log \left| \frac{1-{{x}^{3}}}{{{x}^{3}}} \right|+C\]
  done clear
  C)
   \[\log \left| \frac{{{x}^{3}}}{{{x}^{3}}-1} \right|+C\]
  done clear
  D)
   \[\frac{1}{3}\log \left| \frac{{{x}^{3}}-1}{{{x}^{3}}} \right|+C\]
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer184) Evaluate \[\underset{x\to 3}{\mathop{\lim }}\,\frac{3-x}{\sqrt{4+x}-\sqrt{1+2x}}\]
  A)
   \[0\]                  
  done clear
  B)
   \[7\sqrt{2}\]
  done clear
  C)
   \[4\sqrt{7}\]                
  done clear
  D)
   \[2\sqrt{7}\]
  done clear
  View Answer play_arrow

• question_answer185) \[\int{{{\sec }^{3}}\,\,x\,\,dx}\]
  A)
   \[1/2[\sec x\tan x-\log |\sec x+\tan x|]+C\]
  done clear
  B)
   \[1/2[\sec x\tan x+\log |\sec x-\tan x|]+C\]
  done clear
  C)
   \[1/2[\sec x\tan x-\log |\sec x-\tan x|]+C\]
  done clear
  D)
   \[1/2[\sec x\tan x+\log |\sec x+\tan x|]+C\]
  done clear
  View Answer play_arrow

• question_answer186) The sum of first three terms of a GP is 7/9 and their product is\[~-8/27\]. Find the common ratio of the series
  A)
   \[r=-2/3\] or \[-3/2\]
  done clear
  B)
   \[r=-2/3\] or \[3/2\]
  done clear
  C)
   \[r=2/3\]   or  \[-3/2\]
  done clear
  D)
   \[r=2/3\]  or   \[3/2\]
  done clear
  View Answer play_arrow

• question_answer187) Differentiate \[\sin \,\,(\sin \,\,2x).\]
  A)
   \[2\,\cos \,2x.\,\cos \,2x\]   
  done clear
  B)
   \[2\,\cos \,2x.\,\cos \,(\sin \,2x)\]
  done clear
  C)
   \[2\,\cos \,2x.\sin 2x\]
  done clear
  D)
   \[\cos \,2x.\cos \,(\sin 2x)\]
  done clear
  View Answer play_arrow

• question_answer188) In a moderately a symmetrical distribution, the mean and median are 36 and 34 respectively, find out, the value of empirical mode.
  A)
   \[30\]                
  done clear
  B)
   \[32\]
  done clear
  C)
   \[42\]                
  done clear
  D)
   \[22\]
  done clear
  View Answer play_arrow

• question_answer189) If \[\sin y=x\sin (a+y),\] then find \[dy/dx\].
  A)
   \[{{\sin }^{2}}\,(a+y)/\sin a\]
  done clear
  B)
   \[\sin a/{{\sin }^{2}}\,(a+y)\]
  done clear
  C)
   \[\sin a/{{\sin }^{2}}\,(a-y)\]
  done clear
  D)
   \[{{\sin }^{2}}(a-y)\sin a\]
  done clear
  View Answer play_arrow

• question_answer190) Solve the inequality \[2x-5\le (4x-7)/3?\]
  A)
   \[x\in (-\infty ,\,4)\]         
  done clear
  B)
   \[x\in (-\infty ,\,4]\]
  done clear
  C)
   \[x\in (-\infty ,\,8]\]          
  done clear
  D)
   \[x\in (-\infty ,\,-4]\]
  done clear
  View Answer play_arrow

• question_answer191) If u , v and w are three non-coplanar vectors, then \[(u+v-w).\,[(u-v)\times (v-w)]\]equals to
  A)
   \[u.\,\,w\times u\]       
  done clear
  B)
   \[u.\,\,v\times w\]
  done clear
  C)
   \[0\]               
  done clear
  D)
   \[3\,u.\,\,v\times w\]
  done clear
  View Answer play_arrow

• question_answer192) If \[y=x{{e}^{2y}},\]then find \[dy/dx\].
  A)
   \[y/(x(1-2x))\]     
  done clear
  B)
   \[x/(y\,(1-2x))\]
  done clear
  C)
   \[x/(y(1-2y))\]     
  done clear
  D)
   \[y/(x(1-2y))\]
  done clear
  View Answer play_arrow

• question_answer193) A line makes the same angle 6 with each of the x and z-axis. If it makes the angle \[\beta \] with y-axis such that \[{{\sin }^{2}}\beta =3\,{{\sin }^{2}}\theta ,\] then \[{{\cos }^{2}}\,\theta \] equals
  A)
   \[3/5\]                 
  done clear
  B)
   \[1/5\]
  done clear
  C)
   \[2/5\]                 
  done clear
  D)
   \[2/3\]
  done clear
  View Answer play_arrow

• question_answer194) The   two   curves \[{{x}^{3}}-3x{{y}^{2}}+2=0\] and \[3{{x}^{2}}y-{{y}^{2}}-2=0\]
  A)
   touch each other
  done clear
  B)
   cut a an angle \[\pi /4\]
  done clear
  C)
   cut at an angle \[\pi /3\]
  done clear
  D)
   cut at an angle \[\pi /2\]
  done clear
  View Answer play_arrow

• question_answer195) . Solve for \[x,\,\,{{\tan }^{-1}}(1/x)=\pi +{{\tan }^{-1}}x,\,\,0<x<1\]
  A)
   not defined        
  done clear
  B)
   \[\sqrt{3}\]
  done clear
  C)
   \[\pm \,1\]                
  done clear
  D)
   \[0\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer196) Solve the equation \[{{x}^{2}}-\sqrt{3}x+1=0\]
  A)
   \[x=(-\sqrt{3}\,\,\pm \,\,2i)/2\]  
  done clear
  B)
   \[x=(-\sqrt{3}\,\,\pm \,i)/2\]
  done clear
  C)
   \[x=(-\sqrt{3}\,\,\pm \,i)\]     
  done clear
  D)
   \[x=(\sqrt{3}\,\,\pm \,i)/2\]
  done clear
  View Answer play_arrow

• question_answer197) Differentiate \[{{x}^{-3}}\,(2+7x)\]
  A)
   \[\frac{-1}{{{x}^{4}}}\,(3+7x)\]        
  done clear
  B)
   \[\frac{-2}{{{x}^{3}}}\,(2+7x)\]
  done clear
  C)
   \[\frac{2}{{{x}^{4}}}\,(2+7x)\]
  done clear
  D)
   \[\frac{-2}{{{x}^{4}}}\,(3+7x)\]
  done clear
  View Answer play_arrow

• question_answer198) The probability that A speaks the  truth is \[3\text{ }/5\] and probability that B speaks the truth is\[3\text{ }/4\] Find the probability that they contradict each other when; asked to speak a fact.
  A)
   \[3/20\]                
  done clear
  B)
   \[4/5\]
  done clear
  C)
   \[9/20\]               
  done clear
  D)
   \[7/20\]
  done clear
  View Answer play_arrow

• question_answer199) Find the multiplicative-inverse of \[5-6i\]
  A)
   \[-(5/61)+(6/61)i\]
  done clear
  B)
   \[(5/61)+(6/61)i\]
  done clear
  C)
   \[(5/61)-(6/61)i\]
  done clear
  D)
   \[-(5/61)+(6/61)i\]
  done clear
  View Answer play_arrow

• question_answer200) Find the sum to n terms of the series whose nth term is \[{{n}^{2}}-2\text{ }n\].        
  A)
   \[2n\,(n-1)\]         
  done clear
  B)
   \[2n(n+1)\]
  done clear
  C)
   \[2{{n}^{2}}(n+1)\]
  done clear
  D)
   \[2{{n}^{2}}(n-1)\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer201) A plane which passes through the point \[(3,\,2,\,0)\]and the line \[(x-4)/1=(y-7)/5=(z-4)/4\] is
  A)
   \[x+y+z=1\]      
  done clear
  B)
   \[x+2y-z=1\]
  done clear
  C)
   \[x-y+z=1\]      
  done clear
  D)
   \[2x-y+z=5\]
  done clear
  View Answer play_arrow

• question_answer202) Find the value of \[\sin \,(2\,{{\tan }^{-1}}x),\,|x|\le 1\]
  A)
   \[1/x\]             
  done clear
  B)
   \[x\]
  done clear
  C)
   \[1/{{x}^{2}}\]             
  done clear
  D)
   \[2x/(1+{{x}^{2}})\]
  done clear
  View Answer play_arrow

• question_answer203) In a group of students, 40 students choose Physics, 30 students choose Chemistry and 15 students choose both. Each of the students choose either Physics or Chemistry. How many students are there in the group?
  A)
   \[60\]             
  done clear
  B)
   \[70\]
  done clear
  C)
   \[75\]             
  done clear
  D)
   \[55\]
  done clear
  View Answer play_arrow

• question_answer204) Discuss the continuity of the function \[f(x)=\sin 2x-1\]at the point \[x=0,\]and\[x=\pi \].
  A)
   Continuous at \[x=0,\,\pi \]
  done clear
  B)
   Discontinuous at \[x=0\]but continuous at \[x=\pi \]
  done clear
  C)
   Continuous at \[x=0\] but discontinuous at \[x=\pi \]
  done clear
  D)
   Discontinuous at \[x=0,\,\pi \]
  done clear
  View Answer play_arrow

• question_answer205) The   value   of \[2{{\cot }^{2}}\,(\pi /6)+\,4\,{{\tan }^{2}}(\pi /6)\]\[-3\,\text{cosec }\pi \text{/6}\] is
  A)
   \[2\]                  
  done clear
  B)
   \[4\]
  done clear
  C)
   \[4/3\]                
  done clear
  D)
   \[3/4\]
  done clear
  View Answer play_arrow

• question_answer206) If \[A=\left[ \begin{matrix}    2 & -1  \\    1 & 2  \\ \end{matrix} \right],\]then \[{{A}^{2}}+2A-3I=?\]
  A)
   \[\left[ \begin{matrix}    4 & -6  \\    6 & 4  \\ \end{matrix} \right]\]
  done clear
  B)
   \[0\]
  done clear
  C)
   \[\left[ \begin{matrix}    -6 & 2  \\    -2 & 6  \\ \end{matrix} \right]\]
  done clear
  D)
   \[5l\]
  done clear
  View Answer play_arrow

• question_answer207) The sum of first 8 terms of the geometric series \[2+6+18+54+.....\]is
  A)
   \[6506\]            
  done clear
  B)
   \[5650\]
  done clear
  C)
   \[6650\]            
  done clear
  D)
   \[6560\]
  done clear
  View Answer play_arrow

• question_answer208) Let \[A\{1,2,3,4,5\}.\]Find the domain in the relation from A to A by \[R=\{(x,y):y=2x-1\}.\]
  A)
   \[\{1,2,3\}\]         
  done clear
  B)
   \[\{1,2\}\]
  done clear
  C)
   \[\{1,3,5\}\]        
  done clear
  D)
   \[\{2,4\}\]
  done clear
  View Answer play_arrow

• question_answer209) Find \[\cos \,(x/2),\] if \[\tan \,x=5/12,\,x\] in quadrant III
  A)
   \[5/\sqrt{13}\]            
  done clear
  B)
   \[5/\sqrt{26}\]
  done clear
  C)
   \[5/13\]              
  done clear
  D)
   \[5/26\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer210) \[\int{{{\sin }^{-1}}\,\,\cos \,\,3x\,\,dx}\]is
  A)
   \[\frac{3\pi }{2}x-\frac{{{x}^{2}}}{2}+C\]
  done clear
  B)
   \[\frac{\pi }{2}x-\frac{{{x}^{2}}}{2}+C\]
  done clear
  C)
   \[\frac{3\pi }{2}x+\frac{{{x}^{2}}}{2}+C\]
  done clear
  D)
   \[\frac{\pi }{2}x+\frac{{{x}^{3}}}{3}+C\]
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer211) If a, b, c are three vectors such that \[a\text{ }\times \text{b}=c\] and\[b\text{ }\times c=a\],then
  A)
   \[a\ne b\ne c\]
  done clear
  B)
   \[a=b=c\]
  done clear
  C)
   \[a\ne b\text{ }\ne \text{ }c\ne 1\]
  done clear
  D)
   a, b, c are orthogonal in pairs
  done clear
  View Answer play_arrow

• question_answer212) Determine n, if \[^{2n}{{C}_{2}}{{:}^{n}}{{C}_{2}}:\,\,\,\,=\,\,9:2\]
  A)
   \[5\]      
  done clear
  B)
   \[4\]       
  done clear
  C)
   \[3\]       
  done clear
  D)
   \[2\]
  done clear
  View Answer play_arrow

• question_answer213) \[\underset{x\to 0}{\mathop{\lim }}\,\,\,\frac{{{\sin }^{-1}}\,(x-2)}{{{x}^{2}}-4}\]is equal to
  A)
   \[0\]     
  done clear
  B)
   \[2\]      
  done clear
  C)
   \[1/2\]    
  done clear
  D)
   \[1\]
  done clear
  View Answer play_arrow

• question_answer214) If \[a\ne 0\]and the line \[2bx+3cy+4d=0\] passes through the points of intersection of the parabolas\[{{y}^{2}}=4ax\]and \[{{x}^{2}}=4ay,\]then
  A)
   \[{{d}^{2}}+{{(2b-3c)}^{2}}=0\]
  done clear
  B)
   \[{{d}^{2}}+{{(3b-2c)}^{2}}=0\]
  done clear
  C)
   \[{{d}^{2}}+{{(2b+3c)}^{2}}=0\]
  done clear
  D)
   \[{{d}^{2}}+{{(3b-2c)}^{2}}=0\]
  done clear
  View Answer play_arrow

• question_answer215) If \[f(x)={{x}^{3}}-1,\] then find \[[f(3)+f(2)]/11\]
  A)
  \[1\]      
  done clear
  B)
  \[2\]      
  done clear
  C)
  \[3\]      
  done clear
  D)
   \[4\]
  done clear
  View Answer play_arrow

• question_answer216) The intercept- on the line \[y=x\]by the circle \[{{x}^{2}}+{{y}^{2}}-2x=0\]is AB. Find the equation of the circle on AB as a diameter?
  A)
   \[{{x}^{2}}+{{y}^{2}}+x+y=0\]
  done clear
  B)
   \[{{x}^{2}}+{{y}^{2}}-x-y=0\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}+x-y=0\]
  done clear
  D)
   \[{{x}^{2}}+{{y}^{2}}-x+y=0\]
  done clear
  View Answer play_arrow

• question_answer217) Compute the product \[\left[ \begin{matrix}    -1 & 3 & 0  \\    2 & 1 & 4  \\ \end{matrix} \right]\times \left[ \begin{matrix}    1 & 3  \\    0 & 2  \\    -2 & -1  \\ \end{matrix} \right]\]
  A)
   \[\left[ \begin{matrix}    1 & 3  \\    6 & -4  \\ \end{matrix} \right]\]
  done clear
  B)
   \[\left[ \begin{matrix}    -1 & -3  \\    6 & 4  \\ \end{matrix} \right]\]
  done clear
  C)
   \[\left[ \begin{matrix}    -1 & 3  \\    -6 & 4  \\ \end{matrix} \right]\]
  done clear
  D)
   \[\left[ \begin{matrix}    -1 & 3  \\    -6 & -4  \\ \end{matrix} \right]\]
  done clear
  View Answer play_arrow

• question_answer218) Find the values of x, y and z from the following equations \[\left[ \begin{matrix}    4 & x-z  \\    2+y & xz  \\ \end{matrix} \right]=\left[ \begin{matrix}    4 & 3  \\    -1 & 10  \\ \end{matrix} \right]\]
  A)
   \[x=-5,\text{ }y=3,\text{ }z=2\]
  done clear
  B)
   \[x=5,y=-3,z=2\]
  done clear
  C)
   \[x=5,y=3,\text{ }z=-2\]
  done clear
  D)
   \[x=5,y=-3,z=-2\]
  done clear
  View Answer play_arrow

• question_answer219) Let \[A=\{1,\,\,2\,\{a,\,\,b\},\,\,3,\,\,4\},\] which among the following statements is incorrect?
  A)
   \[\{a,\,b\}\subset A\]
  done clear
  B)
   \[\{a,\,b\}\in A\]
  done clear
  C)
   \[\{\{a,\,b\}\}\subset A\]
  done clear
  D)
   \[\phi \,\,\in \,\,A\]
  done clear
  View Answer play_arrow

• question_answer220) The probability of India winning a test match against South Africa is \[1/2\]assuming independence form match to match played. The probability that in a match series India's second win occurs at the third day is
  A)
   \[1/8\]            
  done clear
  B)
   \[1/2\]
  done clear
  C)
   \[1/4\]            
  done clear
  D)
   \[2/3\]
  done clear
  View Answer play_arrow

• question_answer221) In an experiment with 15 observations on x the following results are available \[\Sigma {{x}^{2}}=2830,\] \[\Sigma x=170.\] One observation that was 20, was found to be wrong and was replaced by correct value 30. Find the correct variance.
  A)
   \[78'\]              
  done clear
  B)
   \[186\]
  done clear
  C)
   \[158\]              
  done clear
  D)
   \[18\]
  done clear
  View Answer play_arrow

• question_answer222) If a circle passes through the point \[(a,b)\] and cuts the circle \[{{x}^{2}}+{{y}^{2}}=4\]orthogonally, then the locus of its centre is
  A)
   \[2ax+2by-({{a}^{2}}+{{b}^{2}}+4)=0\]
  done clear
  B)
   \[2ax+2by+({{a}^{2}}+{{b}^{2}}+4)=0\]
  done clear
  C)
   \[2ax-2by+({{a}^{2}}+{{b}^{2}}+4)=0\]
  done clear
  D)
   2ax \[2ax-2by-({{a}^{2}}+{{b}^{2}}+4)=0\]
  done clear
  View Answer play_arrow

• question_answer223) Find the radius of the circle in which the sphere \[{{x}^{2}}+\text{ }{{y}^{2}}+\text{ }{{z}^{2}}+2x-2y-4z=19\]is cut by the plane\[x+2y+2z+7=0\].
  A)
   \[2\]               
  done clear
  B)
   \[3\]
  done clear
  C)
   \[1\]               
  done clear
  D)
   \[4\]
  done clear
  View Answer play_arrow

• question_answer224) Let \[A=\{1,2,3,4\}\] and R be the relation on A defined by \[\{(a,b);\,\,a,\,b\,\in A,\,\,a\times b\] is an even number}, then find the range of R.
  A)
   \[\{1,2,3,4\}\]
  done clear
  B)
   \[\{2,\,\,4\}\]
  done clear
  C)
   \[\{2,\,\,3,\,\,4\}\]
  done clear
  D)
   \[\{1,\,\,2,\,\,4\}\]
  done clear
  View Answer play_arrow