Solved papers for BCECE Engineering BCECE Engineering Solved Paper-2013

done BCECE Engineering Solved Paper-2013 Total Questions - 150

• question_answer1) The dimensions of universal gravitational constant are
  A)
  \[[{{M}^{-2}}{{L}^{-3}}{{T}^{-2}}]\]                          
  done clear
  B)
   \[[{{M}^{-2}}{{L}^{2}}{{T}^{-1}}]\]          
  done clear
  C)
   \[[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]\]          
  done clear
  D)
         \[[M{{L}^{2}}{{T}^{-1}}]\]
  done clear
  View Answer play_arrow

• question_answer2) If\[|A\times B|=\sqrt{3}A.B\] then the value of\[|A+B|\] is
  A)
   \[A+B\]                              
  done clear
  B)
   \[{{({{A}^{2}}+{{B}^{2}}+\sqrt{3}AB)}^{1/2}}\]
  done clear
  C)
   \[{{\left( {{A}^{2}}+{{B}^{2}}+\frac{AB}{\sqrt{3}} \right)}^{1/2}}\]
  done clear
  D)
   \[{{({{A}^{2}}+{{B}^{2}}+AB)}^{1/2}}\]
  done clear
  View Answer play_arrow

• question_answer3) Two spheres of masses m and M are situated in air and the gravitional force between them is F. The space around the masses is now filled with a liquid of specific gravity 3.The new gravitational force will be
  A)
   F                     
  done clear
  B)
         \[\frac{F}{3}\]                   
  done clear
  C)
   3 F                        
  done clear
  D)
          \[\frac{F}{9}\]
  done clear
  View Answer play_arrow

• question_answer4) A body floats in water with one fourth of its volume above the surface of water. If placed in oil it floats with one third of its volume above the surface of oil. The density of oil is
  A)
   \[\frac{3}{4}\]                  
  done clear
  B)
          \[\frac{4}{9}\]                  
  done clear
  C)
   \[\frac{2}{3}\]                  
  done clear
  D)
          \[\frac{9}{8}\]
  done clear
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• question_answer5) When capillary tubes of different radii  r dipped in water, water rises to different heights K in them, then
  A)
  \[h{{r}^{2}}=\text{constant}\]
  done clear
  B)
          \[hr=\text{constant}\]
  done clear
  C)
          \[\frac{h}{r}=\text{constant}\]
  done clear
  D)
          \[\frac{h}{{{r}^{2}}}=\text{constant}\]
  done clear
  View Answer play_arrow

• question_answer6) In the adjoining figure A, B, and C represents three progressive waves. Which of the following statement about the waves is correct?
  A)
   Wave C lags behind in phase by \[\frac{\pi }{2}\]from A and B leads by \[\frac{\pi }{2}\]
  done clear
  B)
   Wave C leads in phase by \[\pi \]from A and B lags behind by \[\pi \]
  done clear
  C)
   Wave C leads in phase by \[\frac{\pi }{2}\]from A and lags behind by \[\frac{\pi }{2}\]
  done clear
  D)
   Wave C lags behind in phase by \[\pi \]from A and \[\pi \]
  done clear
  View Answer play_arrow

• question_answer7) If 110 J of heat are added to a gaseous system, whose internal energy is 40J, then the -amount of external work done is
  A)
   40 J       
  done clear
  B)
          70 J   
  done clear
  C)
   110 J    
  done clear
  D)
          150 J
  done clear
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• question_answer8) A ray is incident at an angle of incidence \[i\] on one surface of a prism of small angle A and emerges normally from the opposite surface. If the refractive index of the material of the prism is \[\mu ,\]the angle of incidence \[i\] is nearly equals to
  A)
   \[\mu \,A/2\]
  done clear
  B)
                          \[\,A/2\mu \]  
  done clear
  C)
          \[\,\mu A\]       
  done clear
  D)
                          \[\,A/\mu \]
  done clear
  View Answer play_arrow

• question_answer9) Figure below shows four plates each of area S separated from one another by a distance d. What is the capacitance between A and B?
  A)
  \[\frac{4\,{{\varepsilon }_{0}}3}{d}\]                      
  done clear
  B)
   \[\frac{3\,{{\varepsilon }_{0}}5}{d}\]
  done clear
  C)
   \[\frac{2\,{{\varepsilon }_{0}}5}{d}\]     
  done clear
  D)
          \[\frac{\,{{\varepsilon }_{0}}5}{d}\]
  done clear
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• question_answer10) What is the value of current in the arm containing \[2\pi \] resistor in .the adjoining circuit?
  A)
   0.7 amp          
  done clear
  B)
          1.2 amp
  done clear
  C)
   1.5 amp          
  done clear
  D)
          1.0 amp
  done clear
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• question_answer11) For ohmic conductor the drift velocity\[{{\upsilon }_{d}}\] and the electric field applied across it are related as
  A)
  \[{{v}_{d}}\propto \sqrt{E}\]     
  done clear
  B)
          \[{{v}_{d}}\propto {{E}^{2}}\]
  done clear
  C)
   \[{{v}_{d}}\propto E\]  
  done clear
  D)
          \[{{v}_{d}}\propto \frac{1}{E}\]
  done clear
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• question_answer12) If E and B be the electric and magnetic field vectors of electromagnetic waves, the direction of propagation of electromagnetic waves is that of
  A)
   E                            
  done clear
  B)
          B     
  done clear
  C)
  \[E\times B\]   
  done clear
  D)
         \[B\times E\]
  done clear
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• question_answer13) The current in RCL circuit is maximum where
  A)
   \[{{X}_{L}}=0\]                
  done clear
  B)
   \[{{X}_{L}}={{X}_{C}}\]
  done clear
  C)
   \[{{X}_{C}}=0\]
  done clear
  D)
          \[X_{L}^{2}+X_{C}^{2}=1\]
  done clear
  View Answer play_arrow

• question_answer14) What is the value of \[\bar{A}+A\]in the Boolean algebra?
  A)
   0            
  done clear
  B)
          1        
  done clear
  C)
   A           
  done clear
  D)
          \[\bar{A}\]
  done clear
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• question_answer15) The truth table given below is for which gate?

  A	B	Y
  0	0	1
  0	1	1
  1	0	1
  1	1	0

  A)
   XOR                                     
  done clear
  B)
   OR
  done clear
  C)
   AND                     
  done clear
  D)
          NAND
  done clear
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• question_answer16) The magnetic flux through a circuit of resistance R changes by an amount \[\Delta \phi \] in a time \[\Delta t.\]Then the total quantity of electric charge Q that passes any point in the circuit during the time \[\Delta t\]is represented by
  A)
   \[Q=\frac{\Delta \phi }{\Delta t}\]          
  done clear
  B)
          \[Q=\frac{\Delta \phi }{R}\]       
  done clear
  C)
          \[Q=R.\frac{\Delta \phi }{\Delta t}\]      
  done clear
  D)
          \[Q=\frac{1}{R}\frac{\Delta \phi }{\Delta t}\]
  done clear
  View Answer play_arrow

• question_answer17) A particle moves along a circle of radius \[\left( \frac{20}{\pi } \right)\,m\]with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun the tangential acceleration will be
  A)
  \[40\pi \text{ }m/{{s}^{2}}\]         
  done clear
  B)
        \[~40\text{ }m/{{s}^{2}}\]           
  done clear
  C)
         \[~160\pi \,m/{{s}^{2}}\]       
  done clear
  D)
          \[~640\pi \,m/{{s}^{2}}\]
  done clear
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• question_answer18) The output of a OR gate is 1
  A)
   if either input is zero
  done clear
  B)
   if both inputs are zero
  done clear
  C)
   only if both inputs are 1
  done clear
  D)
   if either or both inputs are 1
  done clear
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• question_answer19)  Two 220 V, 100 W bulbs are connected first in series and then in parallel. Each time the combination is connected to a 220V AC supply line, the power drawn by the combination in each case respectively will be
  A)
  \[50,200W\]     
  done clear
  B)
        \[~50W,20W\text{ }\]   
  done clear
  C)
         \[100\text{ }W,50\text{ }W\]   
  done clear
  D)
         \[~200\text{ }W,150\text{ }W\]
  done clear
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• question_answer20) Barrier potential of a p-n junction diode does not depend on
  A)
   diode design      
  done clear
  B)
         doping density
  done clear
  C)
   temperature      
  done clear
  D)
                          farward bias
  done clear
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• question_answer21) A projectile is projected with a linear momentum p making an angle \[\theta \] with the horizontal. The change in momentum of the projectile on return to the ground will be
  A)
  \[2p\,tan\,\theta \]          
  done clear
  B)
          \[2p\,sin\,\theta \]       
  done clear
  C)
         \[2p\,cos\,\theta \]         
  done clear
  D)
         \[~2p\]
  done clear
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• question_answer22) A weigthtless thread can bear tension up to  \[\text{3}\text{.7 kg wt}\text{.}\] A stone of mass 500 g is tied to it and revolved in a circular path of radius 4m in a vertical plane. If \[g=10\text{ }m/{{s}^{2}},\]then the maximum angular velocity of the stone will be
  A)
   2 rad/s              
  done clear
  B)
          4 rad/s
  done clear
  C)
          16 rad/s             
  done clear
  D)
         \[\sqrt{21}\,rad/s\]
  done clear
  View Answer play_arrow

• question_answer23) Under a constant torque, the angular momentum of a body changes from A to 4 A in 4 s. The torque is
  A)
   3 A        
  done clear
  B)
         \[\frac{1}{4}A\]                
  done clear
  C)
         \[\frac{3}{4}A\]                
  done clear
  D)
          \[\frac{4}{3}A\]
  done clear
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• question_answer24) The mass of a planet is double and its radius is half compared to that of earth. Assuming \[g=10m/{{s}^{2}}\]on earth, the acceleration due to gravity at the planet will be
  A)
  \[10\text{ }m/{{s}^{2}}\]            
  done clear
  B)
          \[20\text{ }m/{{s}^{2}}\]            
  done clear
  C)
         \[~40\text{ }m/{{s}^{2}}\]            
  done clear
  D)
          None of these
  done clear
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• question_answer25) A soap bubble in vacuum, has a radius of 3 cm and another soap bubble in vacuum has a radius of 4 cm. If the two bubbles coalesce under isothermal condition, then the radius of new bubble is
  A)
   4.3 cm                 
  done clear
  B)
          4.5 cm                 
  done clear
  C)
   5 cm                     
  done clear
  D)
          7 cm
  done clear
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• question_answer26) Deuteron and \[\alpha -\]particle are put \[\text{1}\overset{\text{o}}{\mathop{\text{A}}}\,\]apart in air. Magnitude of intensity of electric field due to deuteron of \[\alpha -\]particle is
  A)
   zero                     
  done clear
  B)
          \[2.88\times {{10}^{11}}N/C\]  
  done clear
  C)
   \[1.44\times {{10}^{11}}N/C\]
  done clear
  D)
          \[5.76\times {{10}^{11}}N/C\]
  done clear
  View Answer play_arrow

• question_answer27) The air column in pipe, which is closed at one end will be in resonance with a vibrating turning fork at a frequency of 260 Hz, if the length of the air column is
  A)
   31.73 cm          
  done clear
  B)
          62.5 cm               
  done clear
  C)
          35.75 cm          
  done clear
  D)
          12.5 cm
  done clear
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• question_answer28) A ball strikes against the floor and returns with double the velocity. In which type of collision is it possible?
  A)
   Inelastic
  done clear
  B)
   Perfectly inelastic
  done clear
  C)
   Perfectly elastic
  done clear
  D)
   Not possible
  done clear
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• question_answer29) A body is under the action of three force \[{{F}_{1}},{{F}_{2}},\] and \[{{F}_{3}}.\]In which case the body cannot under go angular acceleration?
  A)
   \[{{F}_{1}}+{{F}_{2}}+{{F}_{3}}=0\]
  done clear
  B)
   \[{{F}_{1}},{{F}_{2}}\]and\[{{F}_{3}}\]are concurrent
  done clear
  C)
   \[{{F}_{1}},\]and\[{{F}_{2}}\]act at the same point but, \[{{F}_{3}}\] acts at different point
  done clear
  D)
  \[{{F}_{1}}+{{F}_{2}}\] is parallel to \[{{F}_{3}},\]but the three forces are not concurrent
  done clear
  View Answer play_arrow

• question_answer30) Two beams of protons moving parallel in same direction will
  A)
   repel each other
  done clear
  B)
   exert no force
  done clear
  C)
   attract each other
  done clear
  D)
   deflect perpendicular to the plane of the beams
  done clear
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• question_answer31) A photon and an electron possess same de-Broglie wavelength given that \[C=\]speed of light and \[\upsilon =\]space of electron, which of the following relation is correct? (here, \[{{E}_{e}}=K.E\]of electron,\[{{E}_{Ph}}=K.E\] of photon, \[{{P}_{e}}=\] momentum of electron, \[{{P}_{ph}}=\]momentum of photon)
  A)
   \[\frac{{{P}_{e}}}{{{P}_{Pn}}}=\frac{C}{2v}\]     
  done clear
  B)
          \[\frac{{{E}_{e}}}{{{E}_{Ph}}}=\frac{C}{2v}\]      
  done clear
  C)
  \[\frac{{{E}_{ph}}}{{{E}_{e}}}=\frac{2c}{v}\]        
  done clear
  D)
          \[\frac{{{P}_{e}}}{{{P}_{Ph}}}=\frac{2C}{v}\]
  done clear
  View Answer play_arrow

• question_answer32) To get an output Y = 1 from circuit of adjoining figure, the input must be
  A)
   A-0        B-1         C-0
  done clear
  B)
          A-1        B-0         C-0
  done clear
  C)
          A-1        B-0         C-1
  done clear
  D)
          A-1        B-1         C-0
  done clear
  View Answer play_arrow

• question_answer33) Hubbles law is expressed as (here, \[\upsilon =\]speed of recession, r = distance of galaxy, H = Hubble constant)
  A)
   \[v=Hr\]
  done clear
  B)
          \[v={{H}^{2}}r\]              
  done clear
  C)
          \[v=\frac{H}{{{r}^{2}}}\]                              
  done clear
  D)
          \[v=H{{r}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer34) The displacement versus time graph for a body moving in a straight line is shown in figure. Which of the following regions represents motor when no force is acting on the body?
  A)
   ab                         
  done clear
  B)
          be                         
  done clear
  C)
          cd                                         
  done clear
  D)
          be
  done clear
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• question_answer35) Which of the following graphs shows the variation of magnetic field B, with distance from a long current carrying conductor?
  A)
                                     
  done clear
  B)
        
  done clear
  C)
                                                             
  done clear
  D)
        
  done clear
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• question_answer36) The time period of a freely suspended magnet does not depend upon
  A)
   length of the magnet
  done clear
  B)
          the pole strength of the magnet
  done clear
  C)
          the horizontal component of magnetic field of earth
  done clear
  D)
          the length of the suspension
  done clear
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• question_answer37) The magnetic permeability is denned as the ratio of
  A)
   magnetic induction and magnetizing field
  done clear
  B)
          intensity of magnetization and magnetizing field
  done clear
  C)
          intensity of magnetization and magnetic field
  done clear
  D)
          None of the above
  done clear
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• question_answer38) Figure represents an area \[A=0.5\,{{m}^{2}}\]situated in a uniform magnetic field \[B=2.0\,Wb/{{m}^{2}}\]and making an angle of \[60{}^\circ \] with respect to magnetic field. The value of magnetic flux through the area will be
  A)
  \[0.5\,Wb\]                      
  done clear
  B)
  \[\sqrt{3}\,Wb\]                             
  done clear
  C)
  \[\frac{3}{2}Wb\]                           
  done clear
  D)
  \[2.0\,Wb\]
  done clear
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• question_answer39) Of the given diodes, shown in the adjoining diagrams, which one is reverse biased?
  A)
   
  done clear
  B)
          
  done clear
  C)
          
  done clear
  D)
          
  done clear
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• question_answer40) Three particles each of mass m gram, are situated at the vertices of an equilateral triangle ABC of the side 1 cm. The moment of inertia of the system (as shown in figure) about a line AX perpendicular to AB and in the plane of ABC in gram- cm2 units will be
  A)
   \[\frac{3}{2}m{{l}^{2}}\]                              
  done clear
  B)
          \[\frac{3}{4}m{{l}^{2}}\]                              
  done clear
  C)
          \[2\,m{{l}^{2}}\]                             
  done clear
  D)
          \[\frac{5}{4}m{{l}^{2}}\]
  done clear
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• question_answer41) A galvanometer of \[50\pi \] resistance has 25 divisions. A current of \[4\times {{10}^{-4}}A\]gives a deflection of one division. To convert this galvanometer into a voltmeter having a range of 25 volt, it should be connected with a resistance of
  A)
   \[245\pi \]as shunt      
  done clear
  B)
          \[2450\pi \]as series     
  done clear
  C)
          \[2500\pi \]as shunt     
  done clear
  D)
          \[2550\pi \]in series
  done clear
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• question_answer42) A car is moving towards a high cliff. The car driver sounds a horn of frequency \[f.\]The reflected sound heard by the driver has the frequency \[2f.\] If \[\upsilon \]be the velocity of sound, then the velocity of the car, in the same velocity units will be
  A)
   \[\frac{v}{\sqrt{2}}\]                                    
  done clear
  B)
          \[\frac{v}{2}\]                  
  done clear
  C)
          \[\frac{v}{3}\]                                  
  done clear
  D)
          \[\frac{v}{4}\]
  done clear
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• question_answer43) A plane glass slab is kept over various coloured letters, the letter which appears least raised is
  A)
   violet                   
  done clear
  B)
          blue                     
  done clear
  C)
          green             
  done clear
  D)
          red
  done clear
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• question_answer44) If the angle of incidence is \[i\]and that of refraction is r. Then the speed of light in the medium to which the light is refracted from air is
  A)
   \[v=C\frac{\sin i}{\cos r}\]                          
  done clear
  B)
          \[v=C\frac{\cos r}{\cos \,i}\]                     
  done clear
  C)
          \[v=C\frac{\sin r}{\sin \,i}\]                       
  done clear
  D)
          \[v=C\frac{\sin i}{\sin \,r}\]
  done clear
  View Answer play_arrow

• question_answer45) An electron moves with a velocity v in an electric field E. If the angle between v and E is neither 0 nor \[\pi ,\]the path followed by the electron is
  A)
   parabola                
  done clear
  B)
          circle                    
  done clear
  C)
          straight line                 
  done clear
  D)
          ellipse                                                    
  done clear
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• question_answer46) The internal resistance of a cell of emf 2 V is \[0.1\,\pi .\]If it is connected to a resistance of \[3.9\pi ,\] then the voltage across the cell will be (in volts)
  A)
   2 V                                        
  done clear
  B)
          0.5 V                    
  done clear
  C)
          1.95 V                  
  done clear
  D)
          2.5 V
  done clear
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• question_answer47) An electric kettle takes 4 A current a t220 V. How much time will it take to boil 1 kg of water from room temperature \[\text{20}{{\,}^{\text{o}}}\text{C?}\] (the temperature of boiling water is\[\text{100}{{\,}^{o}}\text{C}\])
  A)
   12.6 min                             
  done clear
  B)
          12.8 min                             
  done clear
  C)
          6.3 min               
  done clear
  D)
          6.4 min
  done clear
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• question_answer48) The phenomenon of pair production is
  A)
   ejection of an electron from a nucleus
  done clear
  B)
          ejection of an electron from a metal surface
  done clear
  C)
          ionization of a neutral atom
  done clear
  D)
          the production of an electron and a positron from \[\gamma -\]rays.
  done clear
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• question_answer49) In an electron microscope if the potential is increased from 20kV to 80 kV, the resolving power R of the microscope will become
  A)
   \[\frac{R}{2}\]                                 
  done clear
  B)
          \[2R\]                  
  done clear
  C)
          \[4R\]                                  
  done clear
  D)
          \[5R\]
  done clear
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• question_answer50) Force acting upon a charged particle kept between the plates of changed capacitor is F. If one of the plates of the capacitor is removed force acting on the same particle will become
  A)
   0                                            
  done clear
  B)
          F                            
  done clear
  C)
          \[\frac{F}{2}\]                                  
  done clear
  D)
          \[2F\]
  done clear
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• question_answer51) \[C{{H}_{3}}-\underset{C{{H}_{3}}}{\overset{C{{H}_{3}}}{\mathop{\underset{|}{\overset{|}{\mathop{C}}}\,}}}\,-\overset{OH}{\mathop{\overset{|}{\mathop{C}}\,}}\,HC{{H}_{3}}\xrightarrow{HBr}A(Predominant)\]Identify A.
  A)
  \[{{(C{{H}_{3}})}_{2}}C(Br)CH{{(C{{H}_{3}})}_{2}}\]
  done clear
  B)
  \[{{(C{{H}_{3}})}_{3}}CCH(Br)\,C{{H}_{3}}\]
  done clear
  C)
  \[{{(C{{H}_{3}})}_{3}}COHBrC{{H}_{3}}\]
  done clear
  D)
  None of the above
  done clear
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• question_answer52) A \[\beta -\]hydroxy carbonyl compound Is obtained by the action of NaOH on
  A)
  \[{{C}_{6}}{{H}_{5}}CHO\]           
  done clear
  B)
         \[HCHO\]            
  done clear
  C)
  \[C{{H}_{3}}CHO\]          
  done clear
  D)
         \[{{(C{{H}_{3}})}_{3}}C.CHO\]
  done clear
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• question_answer53) Which of the following statements is correct?
  A)
  \[+\,l\]effect stabilizes a carbanion
  done clear
  B)
  \[+\,\,l\] effect stabilizes a carbocation
  done clear
  C)
  \[-\,\,l\] effect stabilizes a carbanion
  done clear
  D)
  \[-\,\,l\]effect stabilizes a carbocation
  done clear
  View Answer play_arrow

• question_answer54) \[{{C}_{4}}{{H}_{6}}{{O}_{4}}A\xrightarrow{\Delta }{{C}_{3}}{{H}_{6}}{{O}_{2}}B\xrightarrow[\Delta ]{soda\lim e}C\] Compound C is a hydrocarbon, occupying approx 0.75 L volume per gram. Identify A and B.
  A)
  Tartaric acid, propanoic acid
  done clear
  B)
  Succinic acid, succinic anhydride
  done clear
  C)
  Maleic anhydride, maleic acid
  done clear
  D)
  Methyl malonic acid, propanoic acid
  done clear
  View Answer play_arrow

• question_answer55) What is effective nuclear charge and the periphery of nitrogen atom when an extra electron is added in the formation of an anion?
  A)
  1.20                 
  done clear
  B)
         2.45                       
  done clear
  C)
  3.55                
  done clear
  D)
  5.95
  done clear
  View Answer play_arrow

• question_answer56) A certain metal sulphide, \[\text{M}{{\text{S}}_{\text{2}}}\text{,}\]is used extensively as a high temperature lubricant. If \[\text{M}{{\text{S}}_{\text{2}}}\]has 40.06 % sulphur by weight, atomic mass of At will be
  A)
  100 amu         
  done clear
  B)
         96 amu
  done clear
  C)
         60 amu          
  done clear
  D)
         30 amu
  done clear
  View Answer play_arrow

• question_answer57) In HNC, which element has least value of formal charge?
  A)
  H                            
  done clear
  B)
         N
  done clear
  C)
  C                            
  done clear
  D)
                         All have same value
  done clear
  View Answer play_arrow

• question_answer58) Consider following unit values of energy

  (i) 1 L atm,

  (ii) 1 erg,

  (iii) 1 J

  (iv) kcal,

  Increasing order of these values is
  A)
  I = II = Ill = IV                     
  done clear
  B)
  I < II < III < IV     
  done clear
  C)
         II < III < I < IV      
  done clear
  D)
         IV < l < III < II
  done clear
  View Answer play_arrow

• question_answer59) The number of elements in the transition metal series Sc through Zn that have four unpaired electrons in their + 2 state are
  A)
  2                     
  done clear
  B)
         4                             
  done clear
  C)
  5                      
  done clear
  D)
  6
  done clear
  View Answer play_arrow

• question_answer60) In an atmosphere with industrial smog, copper corrodes to

  (i)\[C{{u}_{2}}{{(OH)}_{2}}S{{O}_{4}}\]

  (ii) \[C{{u}_{2}}{{(OH)}_{2}}C{{O}_{3}}\]

  (iii) \[CuS{{O}_{4}}\]

  (iv) \[CuC{{O}_{3}}\]

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

• question_answer61) Mischmetal is
  A)
  an alloy of lanthanide and nickel
  done clear
  B)
  an alloy of lanthanide and copper
  done clear
  C)
  an alloy of lanthanide, iron and carbon
  done clear
  D)
  an alloy of lanthanide, magnesium and nickel
  done clear
  View Answer play_arrow

• question_answer62) What is the oxidation state of iron in \[{{[Fe{{({{H}_{2}}O)}_{5}}NO]}^{2+}}\]?
  A)
  0                      
  done clear
  B)
         + 1                         
  done clear
  C)
  + 2                   
  done clear
  D)
  + 3
  done clear
  View Answer play_arrow

• question_answer63) Identify the final product of the reaction \[BC{{l}_{3}}+N{{H}_{4}}Cl\xrightarrow[{{C}_{6}}{{H}_{5}}Cl]{140{{\,}^{o}}C}\xrightarrow{NaB{{H}_{4}}}\]?
  A)
  \[{{B}_{3}}{{N}_{3}}{{H}_{6}}\]
  done clear
  B)
                         \[{{B}_{2}}{{H}_{6}}\]                    
  done clear
  C)
  \[NaBC{{l}_{4}}\]             
  done clear
  D)
         BN
  done clear
  View Answer play_arrow

• question_answer64) 2.56 g of sulphur in 100 g of \[\text{C}{{\text{S}}_{\text{2}}}\]has depression in freezing point of \[0.010{{\,}^{o}}C.\] Atomicity of sulphur in \[C{{S}_{2}}\]is (Given,\[K{{}_{f}}={{0.1}^{o}}\,\text{mola}{{\text{l}}^{-1}}\])
  A)
  2            
  done clear
  B)
                         4                             
  done clear
  C)
  6                     
  done clear
  D)
  8
  done clear
  View Answer play_arrow

• question_answer65) For the zeroth order reaction, sets I and II are given, hence \[x\] is

  I.

  II.

  A)
  2 min                
  done clear
  B)
         4 min    
  done clear
  C)
         6 min                
  done clear
  D)
         8 min
  done clear
  View Answer play_arrow

• question_answer66) Equilibrium constant for the reaction, \[N{{H}_{4}}OH+{{H}^{+}}NH_{4}^{+}+{{H}_{2}}O\]is  \[1.8\times {{10}^{9}}.\] Hence,    equilibrium   constant   for\[N{{H}_{3}}(aq)+{{H}_{2}}ONH_{4}^{+}+O{{H}^{-}}\]is
  A)
  \[1.8\times {{10}^{-5}}\]              
  done clear
  B)
         \[1.8\times {{10}^{5}}\]
  done clear
  C)
         \[1.8\times {{10}^{-9}}\]              
  done clear
  D)
         \[5.59\times {{10}^{-10}}\]
  done clear
  View Answer play_arrow

• question_answer67) Calculate pH change when 0.01 mol \[\text{C}{{\text{H}}_{\text{3}}}\text{KOO}\,\text{Na}\]solution is added to 1L of \[\text{0}\text{.01}\,\text{M}\,\text{C}{{\text{H}}_{\text{3}}}\text{COOH}\]solution. \[{{K}_{a}}(C{{H}_{3}}COOH)=1.8\times {{10}^{-5}},p{{K}_{a}}=4.74\]
  A)
  3.37                 
  done clear
  B)
         1.37                       
  done clear
  C)
  4.74                
  done clear
  D)
  8.01
  done clear
  View Answer play_arrow

• question_answer68) \[p{{K}_{b}}\]of \[\text{N}{{\text{H}}_{\text{3}}}\]is 4.74 and \[\text{p}{{\text{K}}_{b}}\]of \[{{A}^{-}},{{B}^{-}}\]and \[{{C}^{-}}\] are 4,5 and 6 respectively. Aqueous solution of 0.01 M has pH in the increasing order
  A)
  \[N{{H}_{4}}A<N{{H}_{4}}B<N{{H}_{4}}C\]
  done clear
  B)
  \[N{{H}_{4}}C<N{{H}_{4}}B<N{{H}_{4}}A\]
  done clear
  C)
  \[N{{H}_{4}}C<N{{H}_{4}}A<N{{H}_{4}}B\]
  done clear
  D)
  All have equal pH
  done clear
  View Answer play_arrow

• question_answer69) Osmotic pressure of insulin solution at 298 K is found to be 0.0072 atm. Hence, height of water column due to this pressure is [given\[d(Hg)=13.6g/mL\]]
  A)
  0.76cm          
  done clear
  B)
         0.70 cm
  done clear
  C)
         7.4 cm           
  done clear
  D)
         76 cm
  done clear
  View Answer play_arrow

• question_answer70) \[\Delta {{G}^{o}}\]and \[\Delta {{H}^{o}}\]for a reaction at 300 K is \[-66.9\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}\] and\[-41.8\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}\] respectively. \[\Delta {{G}^{o}}\]for the same reaction at 330 K is
  A)
  \[-25.1\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}\]
  done clear
  B)
         \[+\,25.1\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}\]
  done clear
  C)
         \[18.7\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}\]
  done clear
  D)
         \[-69.4\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer71) At 1000 K, from the data \[{{N}_{2}}(g)+3{{H}_{2}}(g)\xrightarrow{{}}2N{{H}_{3}}(g);\] \[\Delta H=-123.77\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}\]

  Substance	\[{{N}_{2}}\]	\[{{H}_{2}}\]	\[N{{H}_{3}}\]
  P/R	3.5	3.5	4

  Calculate the heat of formation of \[\text{N}{{\text{H}}_{\text{3}}}\text{.}\]at 300 K.
  A)
  \[-\text{ }44.42\text{ kJ mo}{{\text{l}}^{-1}}\]
  done clear
  B)
  \[-\text{ }88.85\text{ kJ mo}{{\text{l}}^{-1}}\]
  done clear
  C)
  \[+\text{ }44.42\text{ kJ mo}{{\text{l}}^{-1}}\]
  done clear
  D)
  \[+\text{ }88.85\text{ kJ mo}{{\text{l}}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer72) Match the electrode (in column I) with its general name (in Column II) and choose the correct option given below.

  Column I		Column II
  A.	Calomel	l.	Reference
  B.	Glass	ll.	Redox
  C.	Hydrogen	Ill.	Membrane
  D.	Quinhydrone	IV.	Gas

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

• question_answer73) In a Daniell cell constructed in the laboratory, the voltage observed was 0.9 V instead of 1.1 V of the standard cell. A possible explanation is
  A)
  \[[Z{{n}^{2+}}]>[C{{u}^{2+}}]\]
  done clear
  B)
         \[[Z{{n}^{2+}}]<[C{{u}^{2+}}]\]
  done clear
  C)
  \[Zn\]electrode has twice the surface of Cu electrode
  done clear
  D)
  mol ratio of\[~Z{{n}^{2+}}:\text{ }C{{u}^{2+}}\]is 2 : 1
  done clear
  View Answer play_arrow

• question_answer74) A quantity of electrical charge that brings about the deposition of 4.5 g Al from \[\text{A}{{\text{l}}^{\text{3+}}}\]at the cathode will also produce the following volume 3t (STP) of \[{{\text{H}}_{2}}(g)\] from \[{{H}^{+}}\]at the cathode
  A)
  44.8 L              
  done clear
  B)
         22.4 L    
  done clear
  C)
         11.2 L              
  done clear
  D)
         5.6 L
  done clear
  View Answer play_arrow

• question_answer75) IUPAC name of the following compound is
  A)
  3-propyl cyclo [3, 6] octane
  done clear
  B)
  1-ethyl tricyclo [2, 3, 0] heptane
  done clear
  C)
  1-ethyl bicyclo [2, 2,1] heptane
  done clear
  D)
  4-ethyl bicyclo [2, 2, 2] heptane
  done clear
  View Answer play_arrow

• question_answer76) Identify Tin the following series of equation \[H+B{{r}_{2}}\xrightarrow{h\upsilon }\,X\,\xrightarrow[{{D}_{2}}O]{Mg/ether}Y\]
  A)
    \[\overset{Br}{\mathop{}}\,D\]
  done clear
  B)
  \[\overset{{}}{\mathop{}}\,D\]
  done clear
  C)
         \[Br\overset{{}}{\mathop{}}\,D\]            
  done clear
  D)
         \[\underset{D}{\overset{Br}{\mathop{}}}\,\]
  done clear
  View Answer play_arrow

• question_answer77) Arrange the following in the order of rate of oxidation with periodic acid

  (i)\[HOC{{H}_{2}}C{{H}_{2}}OH,\]

  (ii) \[C{{H}_{3}}CHOHCHOHC{{H}_{3}}\]

  (iii) \[{{(C{{H}_{3}})}_{2}}COHCOH{{(C{{H}_{3}})}_{2}}\]

  A)
  I > II > III
  done clear
  B)
               II > I > III              
  done clear
  C)
         III > II > I              
  done clear
  D)
    I > III = II
  done clear
  View Answer play_arrow

• question_answer78) Phenol and \[\text{N}{{\text{H}}_{\text{3}}}\]reacts in presence of \[\text{ZnC}{{\text{l}}_{\text{2}}}\] at \[\text{300}{{\,}^{\text{o}}}\text{C}\]to produce
  A)
  tertiary amine   
  done clear
  B)
         secondary amine
  done clear
  C)
         primary amine   
  done clear
  D)
         All of these
  done clear
  View Answer play_arrow

• question_answer79) \[A[{{C}_{6}}{{H}_{10}}{{O}_{3}}(keto\,ester)]\xrightarrow[\Delta ]{NaOH+{{I}_{2}}}\]yellow\[ppt+B\xrightarrow{{{H}^{+}}}C\xrightarrow[-C{{O}_{2}}]{\Delta }C{{H}_{3}}COOH.\]Hence, A is
  A)
  \[\text{C}{{\text{H}}_{\text{3}}}\overset{\text{O}}{\mathop{\overset{\text{ }\!\!|\!\!\text{ }\,\text{ }\!\!|\!\!\text{ }}{\mathop{\text{C}}}\,}}\,\text{C}{{\text{H}}_{\text{2}}}\overset{\text{O}}{\mathop{\overset{\text{ }\!\!|\!\!\text{ }\,\text{ }\!\!|\!\!\text{ }}{\mathop{\text{C}}}\,}}\,\text{O}{{\text{C}}_{\text{2}}}{{\text{H}}_{\text{5}}}\]
  done clear
  B)
         \[\text{C}{{\text{H}}_{\text{3}}}\text{C}{{\text{H}}_{\text{2}}}\overset{\text{O}}{\mathop{\overset{\text{ }\!\!|\!\!\text{ }\,\text{ }\!\!|\!\!\text{ }}{\mathop{\text{C}}}\,}}\,\text{C}{{\text{H}}_{\text{2}}}\overset{\text{O}}{\mathop{\overset{\text{ }\!\!|\!\!\text{  }\!\!|\!\!\text{ }}{\mathop{\text{C}}}\,}}\,\text{OC}{{\text{H}}_{\text{3}}}\]
  done clear
  C)
  Both are correct 
  done clear
  D)
     None is correct
  done clear
  View Answer play_arrow

• question_answer80) \[\text{C}{{\text{H}}_{\text{3}}}\overset{\text{O}}{\mathop{\overset{\text{ }\!\!|\!\!\text{  }\!\!|\!\!\text{ }}{\mathop{\text{C}}}\,}}\,\text{C}{{\text{H}}_{\text{3}}}\]can be converted into \[\text{C}{{\text{H}}_{\text{3}}}\overset{\text{O}}{\mathop{\overset{\text{ }\!\!|\!\!\text{  }\!\!|\!\!\text{ }}{\mathop{\text{C}}}\,}}\,\text{OH}\]by following methods

  I. \[C{{H}_{3}}\overset{O}{\mathop{\overset{|\,|}{\mathop{C}}\,}}\,C{{H}_{3}}\xrightarrow[\Delta .{{H }^{+}}]{{{I}_{2}}/NaOH}\]

  II. \[C{{H}_{3}}\overset{O}{\mathop{\overset{|\,|}{\mathop{C}}\,}}\,C{{H}_{3}}\xrightarrow{C{{r}_{2}}O_{7}^{2-}/{{H}^{+}}}\]

  III. \[C{{H}_{3}}\overset{O}{\mathop{\overset{|\,|}{\mathop{C}}\,}}\,C{{H}_{3}}\xrightarrow{Ag(N{{H}_{3}})_{2}^{+}}\]

  Which method are most effective?
  A)
  I, III                     
  done clear
  B)
  II, III                      
  done clear
  C)
  I, II                  
  done clear
  D)
  I, II, III
  done clear
  View Answer play_arrow

• question_answer81) Relative  stabilities  of the  following carbocation will be in order

  I

  II

  III

  IV \[C{{H}_{3}}\overset{\oplus }{\mathop{C}}\,{{H}_{2}}\]

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

• question_answer82) The correct statement in respect of protein haemoglobin is that it
  A)
  functions as a catalyst for biological reactions
  done clear
  B)
  maintains blood sugar level
  done clear
  C)
  acts as an oxygen carrier in the blood
  done clear
  D)
  forms antibodies and offers resistance to diseases
  done clear
  View Answer play_arrow

• question_answer83) \[C{{H}_{3}}COOH+HCOOH\xrightarrow[570\,K]{MnO}\] Main product of above reaction is
  A)
  \[C{{H}_{3}}CHO\]                          
  done clear
  B)
  \[C{{H}_{3}}COC{{H}_{3}}\]
  done clear
  C)
         \[HCHO\]            
  done clear
  D)
         \[{{(C{{H}_{3}}CO)}_{2}}O\]
  done clear
  View Answer play_arrow

• question_answer84) Aniline is reacted with bromine water and the resulting product is treated with an aqueous solution of sodium nitrite in presence of dilute hydrochloric acid. The compound so formed is converted to a tetrafluoroborate which is subsequently heated. The final product is
  A)
  p-brpmoaniline
  done clear
  B)
  p-bromofluorobenzene
  done clear
  C)
  1, 3, 5-tri bromobenzene
  done clear
  D)
  2, 4, 6-tribromofluorobenzene
  done clear
  View Answer play_arrow

• question_answer85) With hard water, ordinary soap forms curdy precipitate of
  A)
  \[{{(RCOO)}_{2}}Ca\]
  done clear
  B)
         \[{{(RCOO)}_{2}}Mg\]
  done clear
  C)
         Both (a) and (b) 
  done clear
  D)
         None of these
  done clear
  View Answer play_arrow

• question_answer86) Which is matched incorrectly? Structure                             Compound
  A)
                    Ascorbic acid
  done clear
  B)
   \[{{(RCOO)}_{2}}Mg\]Coumarin
  done clear
  C)
  Both (a) and (b)
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer87) Which base is normally found in RNA but not in DNA?
  A)
  Uracil                    
  done clear
  B)
  Thymine             
  done clear
  C)
         Guanine              
  done clear
  D)
         Adenine
  done clear
  View Answer play_arrow

• question_answer88) The dipole moment of HBr is \[2.60\times {{10}^{-30}}\,\text{cm}\]and the interatomic spacing is \[1.41\,\overset{\text{o}}{\mathop{\text{A}}}\,.\] What is the per cent ionic character of HBr?
  A)
  50%                       
  done clear
  B)
  11.5%   
  done clear
  C)
         4.01%  
  done clear
  D)
         1.19%
  done clear
  View Answer play_arrow

• question_answer89) An element is oxidized by fluorine and not by chlorine. Identify the element.
  A)
  Sodium                
  done clear
  B)
  Aluminium         
  done clear
  C)
         Oxygen            
  done clear
  D)
         Sulphur
  done clear
  View Answer play_arrow

• question_answer90) The reduction of an oxide by aluminium is called
  A)
  Krolls process
  done clear
  B)
  van Arkel process
  done clear
  C)
  Ellingham process
  done clear
  D)
  Goldschmidts aluminothermite process
  done clear
  View Answer play_arrow

• question_answer91) \[{{\text{H}}_{\text{2}}}\]gas is liberated at cathode and anode both by electrolysis of the following solution except in
  A)
  NaCI                     
  done clear
  B)
         NaH                      
  done clear
  C)
  LiH                         
  done clear
  D)
         HCOONa
  done clear
  View Answer play_arrow

• question_answer92) Identify (A) and (B) in the following sequence of reactions. \[SnC{{l}_{2}}+2NaOH\xrightarrow{{}}(A)(white\,ppt)\]\[\xrightarrow[(excess)]{NaOH}(B)\]
  A)
  \[Sn{{(OH)}_{2}},N{{a}_{2}}Sn{{O}_{3}}\]
  done clear
  B)
  \[Sn{{(OH)}_{2}},N{{a}_{2}}Sn{{O}_{2}}\]
  done clear
  C)
  \[Sn{{(OH)}_{2}},N{{a}_{2}}[Sn{{(OH)}_{6}}]\]
  done clear
  D)
  \[Sn{{(OH)}_{2}},\]no effect
  done clear
  View Answer play_arrow

• question_answer93) Nature of nitride ion is
  A)
  acidic              
  done clear
  B)
         basic     
  done clear
  C)
         amphiprotic       
  done clear
  D)
         cannot predict
  done clear
  View Answer play_arrow

• question_answer94) Wave number of spectral line for a given transition is \[x\,c{{m}^{-1}}\]for \[\text{H}{{\text{e}}^{\text{+}}}\text{,}\]then its value for \[B{{e}^{3+}}\](isoelectronic of\[H{{e}^{+}},\]) for same transition is
  A)
  \[\frac{x}{4}c{{m}^{-1}}\]            
  done clear
  B)
         \[x\,c{{m}^{-1}}\]
  done clear
  C)
  \[4x\,c{{m}^{-1}}\]         
  done clear
  D)
         \[16x\,c{{m}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer95) \[{{\text{H}}_{\text{2}}}{{\text{O}}_{\text{2}}}\]oxidizes \[\text{Mn}{{\text{O}}_{\text{2}}}\]is \[\text{MnO}_{4}^{-}\]in basic  medium, \[{{\text{H}}_{\text{2}}}{{\text{O}}_{\text{2}}}\]and \[\text{Mn}{{\text{O}}_{\text{2}}}\]react in the molar ratio of
  A)
  1 : 1     
  done clear
  B)
                         2 : 1       
  done clear
  C)
         2 : 3       
  done clear
  D)
         3 : 2
  done clear
  View Answer play_arrow

• question_answer96) 25 mL of an aqueous solution of \[\text{KCl}\]was found to require 20 mL of \[\text{1}\,\text{M}\,\text{AgNO}{{}_{\text{3}}}\]solution when titrated using a \[{{\text{K}}_{\text{2}}}\text{Cr}{{\text{O}}_{\text{4}}}\]as indicator. Depression in freezing point of \[\text{KCl}\]solution with 100% ionization will be [\[{{K}_{F}}={{2.0}^{o}}mo{{l}^{-1}}kg,\]molarity = molality]
  A)
  \[{{3.2}^{o}}\]                  
  done clear
  B)
         \[{{1.6}^{o}}\]                  
  done clear
  C)
  \[{{0.8}^{o}}\]                  
  done clear
  D)
         \[{{5.0}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer97) Out of the following, select Lux-Flood Acid
  A)
  \[C{{O}_{2}}\]                                   
  done clear
  B)
  \[B{{F}_{3}}\]                    
  done clear
  C)
  \[{{H}^{+}}\]                     
  done clear
  D)
         \[Al{{(C{{H}_{3}})}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer98) On adding \[\text{AgN}{{\text{O}}_{\text{3}}}\]solution into KI solution, a negatively charged colloidal sol. Is obtained when they are in
  A)
  \[100\,mL\,of0.1\text{ }M\,AgN{{O}_{3}}\text{ }+\text{ }100\,mL\,of0.1\text{ }M\,Kl\]
  done clear
  B)
  \[100\,mL\,of0.1\text{ }M\,AgN{{O}_{3}}+100\,mL\,of0.2\text{ m}\,Kl\]
  done clear
  C)
  \[100\,mL\,of0.2\text{ }M\,AgN{{O}_{3}}+100\,mL\,of0.1\text{ M}\,Kl\]
  done clear
  D)
  \[100\,mL\,of0.15\text{ }M\,AgN{{O}_{3}}+100\,mL\,of0.15\text{ M}\,Kl\]
  done clear
  View Answer play_arrow

• question_answer99) Graph between \[\log \left( \frac{x}{m} \right)\]and log p is a straight line at angle \[{{45}^{o}}\] with intercept OA as shown. Hence, \[\left( \frac{x}{m} \right)\]at a pressure of 0.2 atm is
  A)
  0.4                    
  done clear
  B)
         0.6                         
  done clear
  C)
  0.8                 
  done clear
  D)
  0.2
  done clear
  View Answer play_arrow

• question_answer100) From the following reactions at 298 K,

  (A)\[Ca{{C}_{2}}(s)+2{{H}_{2}}O(l)\xrightarrow{{}}Ca{{(OH)}_{2}}(s)\] \[+\,{{C}_{2}}{{H}_{2}}(g)D{{H}^{o}}(kJ\,mo{{l}^{-1}})-127.9\]

  (B) \[Ca(s)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}CaO(s)-635.1\]

  (C) \[CaO(s)+{{H}_{2}}O(I)\xrightarrow{{}}Ca{{(OH)}_{2}}(s)-65.2\]

  (D) \[C(s)+{{O}_{2}}(s)\xrightarrow{{}}C{{O}_{2}}(s)-393.5\]

  (E) \[{{C}_{2}}{{H}_{2}}(g)+\frac{5}{2}{{O}_{2}}(g)\xrightarrow{{}}2C{{O}_{2}}(g)\] \[+\,{{H}_{2}}O(e)-1299.58\]

  Calculate the heat of formation of \[Ca{{C}_{2}}(s)\]at 298 K.
  A)
  \[-\text{ }59.82\text{ }KJ\text{ }mo{{l}^{-1}}\]     
  done clear
  B)
  \[~+\text{ }59.82\text{ }KJ\text{ }mo{{l}^{-1}}\]
  done clear
  C)
  \[-190.22\text{ }KJ\text{ }mo{{l}^{-1}}\]
  done clear
  D)
  \[+\,190.22\,KJ\,mo{{l}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer101) If\[{{x}_{r}}=\cos \left( \frac{\pi }{{{3}^{r}}} \right)-i\sin \left( \frac{\pi }{{{3}^{r}}} \right),\](where\[i=\sqrt{-1}\]),  then the value of\[{{x}_{1}}.{{x}_{2}}...\infty ,\]is
  A)
   1                                            
  done clear
  B)
   \[-1\]                   
  done clear
  C)
   \[-\,i\]                 
  done clear
  D)
          \[\,i\]
  done clear
  View Answer play_arrow

• question_answer102) Number of identical terms in the sequence 2, 5, 8, 11,... upto 100 terms and 3, 5, 7, 9, 11,... upto 100 terms are
  A)
   17                         
  done clear
  B)
   33         
  done clear
  C)
          50         
  done clear
  D)
          147
  done clear
  View Answer play_arrow

• question_answer103) If \[1+\lambda +{{\lambda }^{2}}+...+{{\lambda }^{n}}=(1+\lambda )+(1+{{\lambda }^{2}})(1+{{\lambda }^{4}})\]\[(1+{{\lambda }^{8}})(1+{{\lambda }^{16}}),\] then the value of n is (where,\[n\in N\])
  A)
   32                         
  done clear
  B)
   16                         
  done clear
  C)
          31                  
  done clear
  D)
          15
  done clear
  View Answer play_arrow

• question_answer104) If one root of the equation \[{{x}^{2}}-\lambda x+12=0\]is even prime while \[{{x}^{2}}+\lambda x+\mu =0\]has equal roots, then \[\mu \] is equal to
  A)
   8                                            
  done clear
  B)
   16
  done clear
  C)
   24                  
  done clear
  D)
                                          32
  done clear
  View Answer play_arrow

• question_answer105) If \[\alpha ,\]and \[\beta \]are the roots of \[a{{x}^{2}}+c=bx,\]then the equation \[{{(a+cy)}^{2}}={{b}^{2}}y\]in \[y\]has the roots
  A)
   \[{{\alpha }^{-1}},{{\beta }^{-1}}\]                          
  done clear
  B)
   \[{{\alpha }^{2}},{{\beta }^{2}}\]             
  done clear
  C)
          \[\alpha {{\beta }^{-1}},{{\alpha }^{-1}}\beta \]               
  done clear
  D)
   \[{{\alpha }^{-2}},{{\beta }^{-2}}\]
  done clear
  View Answer play_arrow

• question_answer106) If \[{{\,}^{n}}{{C}_{r-1}}=10,{{\,}^{n}}{{C}_{r}}=45\] and \[{{\,}^{n}}{{C}_{r+1}}=120,\] then r equals to
  A)
   1                       
  done clear
  B)
   2                            
  done clear
  C)
   3                     
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer107) The number of six-digit numbers that can be formed from the digits 1, 2, 3, 4, 5, 6 and 7, so that digits do not repeat and the terminal digits are even is
  A)
   144                
  done clear
  B)
          72                         
  done clear
  C)
   288                
  done clear
  D)
          720
  done clear
  View Answer play_arrow

• question_answer108) The coefficient of \[{{x}^{20}}\]in the expansion of \[{{(1+{{x}^{2}})}^{40}}.{{\left( {{x}^{2}}+2+\frac{1}{{{x}^{2}}} \right)}^{-5}}\]is
  A)
   \[{{\,}^{20}}{{C}_{10}}\]              
  done clear
  B)
         \[{{\,}^{30}}{{C}_{25}}\]               
  done clear
  C)
          1                            
  done clear
  D)
          0
  done clear
  View Answer play_arrow

• question_answer109) If \[\Delta =\left| \begin{matrix}    1 & \sin \theta  & 1  \\    -\sin \theta  & 1 & \sin \theta   \\    -1 & -\sin \theta  & 1  \\ \end{matrix} \right|;0\le \theta <2\pi ,\] then
  A)
  \[\Delta =0\]     
  done clear
  B)
          \[\Delta \in (0,\infty )\]               
  done clear
  C)
          \[\Delta \in [-1,2]\]       
  done clear
  D)
          \[\Delta \in [2,4]\]
  done clear
  View Answer play_arrow

• question_answer110) If \[A=\left[ \begin{matrix}    10  \\    -17  \\ \end{matrix} \right]\]and \[{{A}^{2}}=8A+K{{I}_{2}},\]then K is equal to
  A)
   -1                          
  done clear
  B)
          1                            
  done clear
  C)
   -7                          
  done clear
  D)
          7
  done clear
  View Answer play_arrow

• question_answer111) If \[x\in \left( \frac{3\pi }{2},2\pi  \right),\]then the value of the expression \[{{\sin }^{-1}}[\cos \{{{\cos }^{-1}}(\cos x)\}+{{\sin }^{-1}}(\sin x)],\]is
  A)
   \[-\frac{\pi }{2}\]                            
  done clear
  B)
          \[\frac{\pi }{2}\]                             
  done clear
  C)
   0                            
  done clear
  D)
          \[\pi \]
  done clear
  View Answer play_arrow

• question_answer112) The value of \[a\] for which \[a{{x}^{2}}+{{\sin }^{-1}}({{x}^{2}}-2x+2)+{{\cos }^{-1}}\]\[({{x}^{2}}-2x+2)=0\] has a real solution, is
  A)
  \[-\frac{2}{\pi }\]                             
  done clear
  B)
          \[\frac{2}{\pi }\]                             
  done clear
  C)
   \[-\frac{\pi }{2}\]                            
  done clear
  D)
          \[\frac{\pi }{2}\]
  done clear
  View Answer play_arrow

• question_answer113) If \[\sin x+\cos x=\sqrt{\left( y+\frac{1}{y} \right)},x\in [0,\pi ],\]then
  A)
   \[x=\frac{\pi }{4},y=1\]
  done clear
  B)
          \[y=0\]
  done clear
  C)
          \[y=2\]
  done clear
  D)
          \[x=\frac{3\pi }{4}\]
  done clear
  View Answer play_arrow

• question_answer114) If \[n\] be a positive integer such that \[\sin \left( \frac{\pi }{2n} \right)+\cos \left( \frac{\pi }{2n} \right)=\frac{\sqrt{n}}{2},\]then
  A)
  \[n=6\]               
  done clear
  B)
         \[n=2\]
  done clear
  C)
  \[n=1\]               
  done clear
  D)
          \[n=3,4,5\]
  done clear
  View Answer play_arrow

• question_answer115) If \[\tan x.\tan y=a\]and \[x+y=\frac{\pi }{6},\]then tan \[x\]and \[\tan \,y\]satisfy the equation
  A)
   \[{{x}^{2}}-\sqrt{3}(1-a)x+a=0\]
  done clear
  B)
   \[\sqrt{3}{{x}^{2}}-(1-a)x+a\sqrt{3}=0\]
  done clear
  C)
   \[{{x}^{2}}+\sqrt{3}(1+a)x-a=0\]
  done clear
  D)
   \[\sqrt{3}{{x}^{2}}+(1+a)x-a\sqrt{3}=0\]
  done clear
  View Answer play_arrow

• question_answer116) The angle of elevation of the top of a tower at a point on the ground is \[\text{3}{{\text{0}}^{\text{o}}}\text{.}\] If on walking 20 m toward the tower, the angle of elevation becomes \[\text{6}{{\text{0}}^{\text{o}}},\] then the height of the tower is
  A)
   \[10\,m\]           
  done clear
  B)
          \[\frac{10}{\sqrt{3}}m\]              
  done clear
  C)
          \[10\sqrt{3}\,m\]           
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer117) The centroid of the triangle is \[(3,3)\] and the orthocentre is \[(-3,5),\] then its circumcentre is
  A)
   (0, 4)               
  done clear
  B)
          (0, 8)    
  done clear
  C)
          (6, 2)               
  done clear
  D)
          (6,-2)
  done clear
  View Answer play_arrow

• question_answer118) Point \[R(h,k)\]divides a line segment between the axes in the ratio 1 : 2. Find equation of the line.
  A)
   \[2kx+hy=3hk\]
  done clear
  B)
   \[2kx+hy=2hk\]
  done clear
  C)
   \[2kx-hy=3hk\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer119) If the slope of one of the lines represented by \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\]be the square of the other, then
  A)
   \[=ab(a+b)-6abh+8{{h}^{3}}=0\]
  done clear
  B)
   \[{{a}^{2}}b+ab+6abh+8h=0\]
  done clear
  C)
   \[{{a}^{2}}b+a{{b}^{2}}-3abh+8{{h}^{3}}=0\]
  done clear
  D)
   \[{{a}^{2}}b+a{{b}^{2}}-6abh-8{{h}^{3}}=0\]
  done clear
  View Answer play_arrow

• question_answer120) The    line   \[(x-2)\cos \beta +(y-2)\sin \theta =1\] touches a circle for all value of \[\theta ,\] then the equation of circle is
  A)
   \[{{x}^{2}}+{{y}^{2}}-4x-4y+7=0\]
  done clear
  B)
   \[{{x}^{2}}+{{y}^{2}}+4x+4y+7=0\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}-4x-4y-7=0\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer121) If \[(-3,2)\] lies on the circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\]which is concentric with the circle\[{{x}^{2}}+{{y}^{2}}+6x+8y-5=0,\] then C is equal to
  A)
   11                         
  done clear
  B)
         \[-11\]                 
  done clear
  C)
   24                         
  done clear
  D)
          100
  done clear
  View Answer play_arrow

• question_answer122) The angle between the tangents drawn from the origin to the parabola \[{{y}^{2}}=4a(x-a)\]is
  A)
   0                            
  done clear
  B)
          \[\frac{\pi }{2}\]                             
  done clear
  C)
   \[\frac{\pi }{4}\]                             
  done clear
  D)
          \[\frac{\pi }{6}\]
  done clear
  View Answer play_arrow

• question_answer123) If focii of \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] coincide with the foci of \[\frac{{{x}^{2}}}{25}+\frac{{{y}^{2}}}{9}=1\]and eccentricity of the  hyperbola is 2, then
  A)
   \[{{a}^{2}}+{{b}^{2}}=14\]
  done clear
  B)
   there is a director circle of the hyperbola
  done clear
  C)
   centre of the director circle is (0, 0)
  done clear
  D)
   length of latusrectum of the hyperbola is
  done clear
  View Answer play_arrow

• question_answer124) \[\frac{\frac{1}{2!}+\frac{1}{4!}+\frac{1}{6!}+...\infty }{1+\frac{1}{3!}+\frac{1}{5!}+\frac{1}{7!}+...\infty }\]is equal to
  A)
   \[\frac{e+1}{e-1}\]        
  done clear
  B)
          \[\frac{e-1}{e+1}\]        
  done clear
  C)
          \[\frac{{{e}^{2}}+1}{{{e}^{2}}-1}\]          
  done clear
  D)
          \[\frac{{{e}^{2}}-1}{{{e}^{2}}+1}\]
  done clear
  View Answer play_arrow

• question_answer125) If n is even, then in the expansion of  \[{{\left( 1+\frac{{{x}^{2}}}{2!}+\frac{{{x}^{4}}}{4!}+... \right)}^{2}},\]then the coefficient of \[{{x}^{n}}\]is
  A)
   \[\frac{{{2}^{n}}}{n!}\]                
  done clear
  B)
          \[\frac{{{2}^{n}}-2}{n!}\]            
  done clear
  C)
   \[\frac{{{2}^{n-1}}-1}{n!}\]        
  done clear
  D)
   \[\frac{{{2}^{n-1}}}{n!}\]
  done clear
  View Answer play_arrow

• question_answer126) The angle between the line \[\frac{x+1}{2!}=\frac{y}{3}=\frac{z-3}{6}\]and the plane \[10x+2y-11z=3\] is
  A)
   \[\frac{\pi }{2}\]                             
  done clear
  B)
          \[\frac{\pi }{4}\]                             
  done clear
  C)
   \[\frac{\pi }{6}\]                             
  done clear
  D)
          \[{{\sin }^{-1}}\left( \frac{8}{21} \right)\]
  done clear
  View Answer play_arrow

• question_answer127) The area of the triangle whose vertices are A (1, 2, 3), \[B(2,-1,1)\]and \[C(1,2,-4)\]is
  A)
   \[7\sqrt{10}\,sq\]units
  done clear
  B)
          \[\frac{1}{2}\sqrt{10}\,\text{sq}\,\text{units}\]
  done clear
  C)
          \[\frac{7}{2}\sqrt{10}\,\text{sq}\,\text{units}\]
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer128) If a and b are the vectors determined by two adjacent sides of regular hexagon, then vector EO is
  A)
  \[(a+b)\]           
  done clear
  B)
         \[(a-b)\]              
  done clear
  C)
          2 a                        
  done clear
  D)
          2b
  done clear
  View Answer play_arrow

• question_answer129) If \[a=i+j+k,\]  \[b=4i+3j+4k\]and \[c=i+\alpha j+\beta k\]are linearly dependent  vectors and \[|c|=\sqrt{3},\] then the values of \[\alpha \] and \[\beta \]are respectively
  A)
  \[\pm \,1,1\]                     
  done clear
  B)
          \[\pm \,2,1\]    
  done clear
  C)
          \[0,\pm \,1\]    
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer130) Let \[u=i+j,v=i-j\]and \[w=i+2j+3k\]. If \[\hat{n}\] is a unit vector such that \[u.\hat{n}=0\]and \[u.\hat{n}=0,\]then \[|w.\hat{n}|\]is equal to
  A)
   3                            
  done clear
  B)
   0                            
  done clear
  C)
   1                     
  done clear
  D)
   2
  done clear
  View Answer play_arrow

• question_answer131) If \[g(x)=1+\sqrt{x}\]and \[f\{g(x)\}\]\[=3+2\sqrt{x}+x,\] then \[f(x)\]is equal to
  A)
  \[1+2{{x}^{2}}\]           
  done clear
  B)
         \[~2+{{x}^{2}}\]               
  done clear
  C)
         \[1+x\]                
  done clear
  D)
         \[~2+x\]
  done clear
  View Answer play_arrow

• question_answer132) Domain of \[f(x)=y=\sqrt{{{\log }_{3}}\{\cos (\sin x)\}}\]is
  A)
   \[\left\{ \frac{n\pi }{2}:n\in l \right\}\]
  done clear
  B)
          \[\{2n\pi :n\in l\}\]
  done clear
  C)
   \[\{n\pi :n\in l\}\]          
  done clear
  D)
          None of the above
  done clear
  View Answer play_arrow

• question_answer133) \[\underset{x\to 1}{\mathop{\lim }}\,({{\log }_{2}}2x{{\log }_{x}}5)\]is equal to
  A)
   \[{{\log }_{2}}5\]            
  done clear
  B)
          \[_{e}{{\log }_{2}}5\]    
  done clear
  C)
          e                           
  done clear
  D)
          0
  done clear
  View Answer play_arrow

• question_answer134) A function is defined as follows             \[f(x)=\left\{ \begin{matrix}    1, & \text{when}-\infty <x<0  \\    1+\sin x, & \text{when}0\le x<\frac{\pi }{2}  \\    2+{{\left( x-\frac{\pi }{2} \right)}^{2}}, & \text{when}\frac{\pi }{2}\le x<\infty   \\ \end{matrix} \right.\] continuity of \[f(x)\]is
  A)
   \[f(x)\]is continuous at \[x=\frac{\pi }{2}\]
  done clear
  B)
  (b \[f(x)\]is continuous at\[x=0\]                  
  done clear
  C)
   \[f(x)\] is discontinuous at \[x=0\]
  done clear
  D)
   \[f(x)\] is continuous over the whole real number
  done clear
  View Answer play_arrow

• question_answer135) If \[f(x)=\sqrt{1-\sqrt{1-{{x}^{2}}}},\]then \[f(x)\]is
  A)
   continuous on \[[-1,1]\]
  done clear
  B)
   differentiable on \[(-1,0)\cup (0,1)\]
  done clear
  C)
   Both (a) and (b)
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer136) If \[x=\sqrt{{{a}^{{{\sin }^{-1}}}}t,}\]and\[y=\sqrt{{{a}^{{{\cos }^{-1}}}}t,}\] then the value of \[\frac{dy}{dx}\]is
  A)
   \[\frac{y}{x}\]                  
  done clear
  B)
          \[\frac{x}{y}\]
  done clear
  C)
   \[\frac{-y}{x}\]                
  done clear
  D)
          \[\frac{-x}{y}\]
  done clear
  View Answer play_arrow

• question_answer137) If f and g be differentiable function satisfying \[g(a)=2,g(a)=b\]and\[fog=I\] (identity function), then \[f(b)\]is equal to
  A)
   \[\frac{1}{2}\]                  
  done clear
  B)
          2                            
  done clear
  C)
   \[\frac{2}{3}\]                  
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer138) If \[x=a{{t}^{2}}\]and \[y=2at,\]then \[\frac{{{d}^{2}}y}{d{{x}^{2}}}\]at \[t=2,\]is
  A)
   \[\frac{-1}{16a}\]           
  done clear
  B)
          \[\frac{1}{16a}\]             
  done clear
  C)
          \[\frac{1}{16}\]               
  done clear
  D)
          \[\frac{1}{a}\]
  done clear
  View Answer play_arrow

• question_answer139) The points at which the tangent to the curve  \[y={{x}^{3}}-3{{x}^{2}}-9x+7\]is parallel to the \[x-\]axis are
  A)
   \[(30-20)\]and\[(-1,12)\]
  done clear
  B)
   (3, 20) and (1, 12)
  done clear
  C)
  \[(1,-10)\]and (2, 6)   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer140) \[\int_{{}}^{{}}{\frac{dx}{{{\sin }^{2}}x.{{\cos }^{2}}x}}\]is equal to
  A)
   \[\tan x+d\cot x+C\]    
  done clear
  B)
   \[\tan x-\cot x+C\]
  done clear
  C)
   \[\tan x.\cot x+C\]
  done clear
  D)
   \[\tan x-\cot 2x+C\]
  done clear
  View Answer play_arrow

• question_answer141) \[\int_{{}}^{{}}{\frac{{{e}^{2x}}-1}{{{e}^{2x}}+1}}dx\]is equal to
  A)
  \[\frac{{{e}^{x}}+{{e}^{-x}}}{{{e}^{x}}-{{e}^{-x}}}+C\]    
  done clear
  B)
          \[\log \frac{{{e}^{x}}+{{e}^{-x}}}{{{e}^{x}}-{{e}^{-x}}}+C\]          
  done clear
  C)
   \[\log |{{e}^{x}}+{{e}^{-x}}|+C\]            
  done clear
  D)
   \[\log |{{e}^{x}}-{{e}^{-x}}|+C\]
  done clear
  View Answer play_arrow

• question_answer142) The value of \[\int_{0}^{1}{{{\tan }^{-1}}\left( \frac{2x-1}{1+x-{{x}^{2}}} \right)dx}\]is
  A)
   1                            
  done clear
  B)
          0                            
  done clear
  C)
   \[-1\]                   
  done clear
  D)
          \[\frac{\pi }{4}\]
  done clear
  View Answer play_arrow

• question_answer143) If \[\int_{\log 2}^{\pi }{\frac{1}{\sqrt{{{e}^{x}}-1}}}dx=\frac{\pi }{6},\] then the value of \[x\] is
  A)
   log 2               
  done clear
  B)
          log 3     
  done clear
  C)
          log 4               
  done clear
  D)
          None of these
  done clear
  View Answer play_arrow

• question_answer144) The area bounded by the curve\[y=\sin x\]between \[x=0\]and \[x=2\pi \]is
  A)
   1 sq unit             
  done clear
  B)
          2 sq units           
  done clear
  C)
          4 sq units            
  done clear
  D)
           8 sq units
  done clear
  View Answer play_arrow

• question_answer145) If the area above \[x-\]axis bounded by the n curves \[y={{2}^{Kx}},x=0\]and\[x=2\] is\[\frac{3}{\log 2},\]then  the value of K is
  A)
   \[\frac{1}{2}\]                  
  done clear
  B)
                          1                            
  done clear
  C)
          \[-1\]                   
  done clear
  D)
                          2
  done clear
  View Answer play_arrow

• question_answer146) The solution of the differential equation \[{{\sec }^{2}}x.\tan ydx+{{\sec }^{2}}y.\tan x\,dy=0\]is
  A)
  \[\tan x.\cot y=C\]
  done clear
  B)
         \[\cot x.tany=C\]
  done clear
  C)
          \[\tan x.tany=C\]
  done clear
  D)
          \[\sin x.\cos y=C\]
  done clear
  View Answer play_arrow

• question_answer147) Two cards are drawn at random from a pack of 52 cards. The probability of getting at least a spade and an ace, is
  A)
   \[\frac{1}{34}\]               
  done clear
  B)
         \[\frac{8}{221}\]                              
  done clear
  C)
   \[\frac{1}{26}\]               
  done clear
  D)
          \[\frac{2}{51}\]
  done clear
  View Answer play_arrow

• question_answer148) The relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b): b = a + 1} is
  A)
   reflexive            
  done clear
  B)
          symmetric         
  done clear
  C)
   transitive       
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer149) The proposition \[\tilde{\ }(p\Leftrightarrow q)\]is equivalent to
  A)
  \[(p\vee \tilde{\ }q)\wedge (q\wedge \tilde{\ }p)\]       
  done clear
  B)
   \[(p\wedge \tilde{\ }q)\vee (q\wedge \tilde{\ }p)\]
  done clear
  C)
   \[(p\wedge \tilde{\ }q)\wedge (q\wedge \tilde{\ }p)\]
  done clear
  D)
   None of the above
  done clear
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• question_answer150) When two equal forces are inclined at an angle \[2\alpha ,\] their resultant is twice as great as when they act at an angle \[2\beta ,\] then
  A)
   \[\cos \alpha =2\cos \beta \]
  done clear
  B)
         \[\cos \alpha =2\sin \beta \]
  done clear
  C)
          \[\cos \beta =2\cos \alpha \]
  done clear
  D)
          \[\sin \beta =\cos \alpha \]
  done clear
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