Solved papers for VIT Engineering VIT Engineering Solved Paper-2011

done VIT Engineering Solved Paper-2011 Total Questions - 120

• question_answer1) A glass rod rubbed with silk is used to change a gold leaf electroscope and the leaves are observed to diverge. The electroscope thus charged is exposed to X-rays for a short r period. Then
  A)
  the divergence of leave will not affected
  done clear
  B)
  the leaves will diverge further
  done clear
  C)
  the leaves will collapse
  done clear
  D)
  the leaves will melt
  done clear
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• question_answer2) An infinite number of charge, each of charge 1 \[\mu \]C are placed on the x-axis with coordinates \[x=1,\text{ }2,\text{ }4,\text{ }8,\,\,...\infty .\]If a charge of 1 C is kept at the origin, then what is the net force acting on 1C charge?
  A)
   9000 N        
  done clear
  B)
   12000 N
  done clear
  C)
   24000 N
  done clear
  D)
   36000 N
  done clear
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• question_answer3) A cube of side \[l\] is placed in a uniform field E, where \[E={{E}_{i}}\]. The net electric flux through the cube is
  A)
   zero          
  done clear
  B)
   \[{{l}^{2}}E\]
  done clear
  C)
   \[4{{l}^{2}}E\]
  done clear
  D)
   \[6{{l}^{2}}E\]
  done clear
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• question_answer4) The capacity of a capacitor is \[4\times {{10}^{-6}}F\] and its potential is 100 V. The energy released on discharging it fully will be
  A)
   0.02 J          
  done clear
  B)
   0.04 J
  done clear
  C)
   0.025 J         
  done clear
  D)
   0.05 J
  done clear
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• question_answer5) Dimensions of a block are \[1\,cm\times 1\text{ }cm\times 100\,cm\]. If specific resistance of its material is \[3\times {{10}^{-7}}\Omega m\], then the resistance between the opposite rectangular faces is
  A)
   \[3\times {{10}^{-7}}\Omega \]
  done clear
  B)
   \[3\times {{10}^{-9}}\Omega \]
  done clear
  C)
   \[3\times {{10}^{-5}}\Omega \]
  done clear
  D)
   \[3\times {{10}^{-3}}\Omega \]
  done clear
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• question_answer6) The magnitude and direction of the current in the circuit shown will be
  A)
   7/3 A from a to b through e
  done clear
  B)
   7/3 A from b to a through e
  done clear
  C)
   1 A from b to a through e
  done clear
  D)
   1 A from a to b through e
  done clear
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• question_answer7) An electric bulb of 100 W is connected to a supply of electricity of 220 V. Resistance of the filament is
  A)
   \[484\Omega \]         
  done clear
  B)
   \[100\Omega \]
  done clear
  C)
   \[22000\Omega \]
  done clear
  D)
   \[242\Omega \]
  done clear
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• question_answer8) Pick out the wrong statement.
  A)
   In a simple battery circuit, the point of lowest potential is the negative terminal of the battery.
  done clear
  B)
   The resistance of an incandescent lamp is greater when the lamp is switched off.
  done clear
  C)
   An ordinary 100 W lamp has less resistance than a 60 W lamp.
  done clear
  D)
   At constant voltage, the heat developed in a uniform wire varies inversely as the length of the wire used.
  done clear
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• question_answer9) The electrochemical equivalent of magnesium is 0.126 mg/C. A current of 5 A is passed in a suitable solution for 1 h. The mass of magnesium deposited will be
  A)
   0.0378 g       
  done clear
  B)
   0.227 g
  done clear
  C)
   0.378 g        
  done clear
  D)
   2.27g
  done clear
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• question_answer10) In producing chlorine through electrolysis 100 W power at 125 V is being consumed. How much chlorine per minute is liberated? ECE of chlorine is \[0.367\times {{10}^{-6}}kg/C\].
  A)
   24.3 mg         
  done clear
  B)
   16.6 mg
  done clear
  C)
   17.6 mg       
  done clear
  D)
   21.3 mg
  done clear
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• question_answer11) A particle carrying a charge equal to 100 times the charge on an electron is rotating per second in a circular path of radius 0.8 m. The value of the magnetic field produced at the centre will be (\[{{\mu }_{0}}\]= permeability for vacuum)
  A)
   \[\frac{{{10}^{-7}}}{{{\mu }_{0}}}\]          
  done clear
  B)
   \[{{10}^{-17}}{{\mu }_{0}}\]
  done clear
  C)
   \[{{10}^{-6}}{{\mu }_{0}}\]
  done clear
  D)
   \[{{10}^{-7}}{{\mu }_{0}}\]
  done clear
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• question_answer12) A rectangular loop carrying a current \[i\] is placed in a uniform magnetic field\[B\]. The area enclosed by the loop is \[A\]. If there are \[n\] turns in the loop, the torque acting on the loop is given by
  A)
   \[ni\,\mathbf{A}\times \mathbf{B}\]
  done clear
  B)
   \[ni\,\,\mathbf{A}\cdot \mathbf{B}\]
  done clear
  C)
   \[\frac{1}{n}\left( i\mathbf{A}\times \mathbf{B} \right)\]
  done clear
  D)
   \[\frac{1}{n}(i\mathbf{A\times B})\]
  done clear
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• question_answer13)  In a magnetic field of 0.05 T, area of a coil changes from \[101\text{ }c{{m}^{2}}\]to \[100\,\,c{{m}^{2}}\] without changing the resistance which is\[2\Omega \]. The amount of charge that flow during this period is
  A)
   \[2.5\times {{10}^{-6}}C\]
  done clear
  B)
   \[2\times {{10}^{-6}}C\]
  done clear
  C)
   \[{{10}^{-6}}C\]
  done clear
  D)
   \[8\times {{10}^{-6}}C\]
  done clear
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• question_answer14) A solenoid has 2000 turns wound over a length of 0.30 m. The area of its cross-section is \[1.2\times {{10}^{-3}}{{m}^{2}}\]. Around its central section, a coil of 300 turn is wound. If an initial current of 2 A in the solenoid is reversed in 0.25 s, then the emf induced in the coil is
  A)
   \[6\times {{10}^{-4}}V\]
  done clear
  B)
   \[4.8\times {{10}^{-3}}V\]
  done clear
  C)
   \[6\times {{10}^{-2}}V\]
  done clear
  D)
   \[48mV\]
  done clear
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• question_answer15) An inductive circuit contains a resistance of \[10\Omega \] and an inductance of 2.0 H. If an AC voltage of 120 V and frequency of 60 Hz is applied to this circuit, the current in the circuit would be nearly
  A)
   0.32 A          
  done clear
  B)
   0.16 A
  done clear
  C)
   0.43 A          
  done clear
  D)
   0.80 A
  done clear
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• question_answer16) In a Millikans oil drop experiment the charge on an oil drop is calculated to be\[6.35\times {{10}^{-19}}C\]. The number of excess electrons on the drop is
  A)
   3.2             
  done clear
  B)
   4
  done clear
  C)
   4.2             
  done clear
  D)
   6
  done clear
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• question_answer17) The values \[+\frac{1}{2}\] and \[-\frac{1}{2}\] of spin quantum number show
  A)
   rotation of electron clockwise and anti-clockwise directions respectively
  done clear
  B)
   rotation of electron anti-clockwise and clockwise directions respectively
  done clear
  C)
   rotation in any direction according to convention
  done clear
  D)
   None of the above
  done clear
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• question_answer18) The frequency of incident light falling on a photosensitive metal plate is doubled, the kinetic energy of the emitted photoelectrons is
  A)
   double the earlier value
  done clear
  B)
   unchanged
  done clear
  C)
   more than doubled
  done clear
  D)
   less than doubled
  done clear
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• question_answer19) Light of two different frequencies whose photons have energies 1 eV and 2.5 eV, respectively, successively illuminate a metal whose work function is 0,5 eV. The ratio of the maximum speed of the emitted electrons will be
  A)
   1 : 5          
  done clear
  B)
   1 : 4
  done clear
  C)
   1 : 2          
  done clear
  D)
   1 : 1
  done clear
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• question_answer20) An electron accelerated under a potential difference \[V\] volt has a certain wavelength \[\lambda \] Mass of proton is some 2000 times of the mass of the electron. If the proton has to have the same wavelength \[\lambda \] , then it will have to be accelerated under a potential difference of
  A)
   \[V\text{ }volt\]
  done clear
  B)
   \[2000\text{ }V\text{ }volt\]
  done clear
  C)
   \[\frac{V}{2000}\] volt      
  done clear
  D)
   \[\sqrt{\text{2}000}\,V\,volt\]
  done clear
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• question_answer21) The ratio of momentum of an electron and \[\alpha \]-particle which are accelerated from rest by a potential difference of 100 V is
  A)
   1    
  done clear
  B)
   \[\sqrt{(\text{2}{{\text{m}}_{\text{e}}}/{{\text{m}}_{\alpha }})}\]
  done clear
  C)
   \[\sqrt{({{\text{m}}_{\text{e}}}/{{\text{m}}_{\alpha }})}\]     
  done clear
  D)
   \[\sqrt{(\text{m},/\text{2}{{\text{m}}_{\alpha }})}\]
  done clear
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• question_answer22) Sky wave propagation is used in
  A)
   radio communication
  done clear
  B)
   satellite communication
  done clear
  C)
   T V communication
  done clear
  D)
   Both T V and satellite communication
  done clear
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• question_answer23) The frequency of an FM transmitter without signal input is called
  A)
   the centre frequency
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  B)
   modulation
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  C)
   the frequency deviation
  done clear
  D)
   the carrier sweing
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• question_answer24) What is the age of an ancient wooden piece if it is known that the specific activity of \[{{C}^{14}}\] nuclide in its amounts is 3/5 of that in freshly grown trees? Given the half of C nuclide is 5570 yr.
  A)
   1000 yr       
  done clear
  B)
   2000 yr
  done clear
  C)
   3000 yr        
  done clear
  D)
   4000 yr
  done clear
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• question_answer25) A thin metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q is placed outside it as shown in the figure. All the three charges are positive. The force on the charge at the centre is
  A)
   towards left    
  done clear
  B)
   towards right
  done clear
  C)
   upward        
  done clear
  D)
   zero
  done clear
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• question_answer26) As shown in the figure, charges \[+q\] and \[-q\] are placed at the vertices B and C of an isosceles triangle. The potential at the vertex A is
  A)
   \[\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{2a}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\]
  done clear
  B)
   zero
  done clear
  C)
   \[\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{q}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\]
  done clear
  D)
   \[\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{\left( -q \right)}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\]
  done clear
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• question_answer27) On moving a charge of 20 C by 2 cm, 2 J of work is done, then the potential difference between the points is
  A)
   \[0.1\text{ }V\]
  done clear
  B)
   \[8\text{ }V\]
  done clear
  C)
   \[2\text{ }V\]
  done clear
  D)
   \[0.5\text{ }V\]
  done clear
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• question_answer28) The insulation property of air breaks down at\[3\times {{10}^{6}}V/m\]. The maximum charge that can be given to a sphere of diameter 5 m is nearly
  A)
   \[2\times {{10}^{-2}}C~\]
  done clear
  B)
   \[2\times {{10}^{-3}}C\]
  done clear
  C)
   \[2\times {{10}^{-4}}C\]
  done clear
  D)
   \[2\times {{10}^{-5}}C\]
  done clear
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• question_answer29) Two capacitors of capacities C and 2C are connected in parallel and then connected in series with a third capacitor of capacity 3C. The combination is charged with V volt. The charge on capacitor of capacity C is
  A)
   \[2\text{ }CV\]
  done clear
  B)
   \[CV\]
  done clear
  C)
   \[2\text{ }CV\]
  done clear
  D)
   \[\frac{3}{2}CV\]
  done clear
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• question_answer30) Five resistances are connected as shown in the figure. The effective resistance between points A and B is
  A)
   \[\frac{10}{3}\Omega \]            
  done clear
  B)
   \[\frac{10}{17}\Omega \]
  done clear
  C)
   \[40\Omega \]
  done clear
  D)
   \[45\Omega \]
  done clear
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• question_answer31) A potentiometer is connected across A and B and a balance is obtained at 64.0 cm. When potentiometer lead to B is moved to C, a balance is found at 8.0 cm. If the potentiometer is now connected across B and C, a balance will be found at
  A)
   8.0 cm         
  done clear
  B)
   56.0 cm
  done clear
  C)
   64.0 cm
  done clear
  D)
   72.0 cm
  done clear
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• question_answer32) In an electromagnetic wave, the average energy density associated with magnetic field is
  A)
   \[L{{i}_{0}}^{2}/2\]         
  done clear
  B)
   \[{{B}^{2}}/2{{\mu }_{0}}\]
  done clear
  C)
   \[{{\mu }_{0}}{{B}^{2}}/2\]      
  done clear
  D)
   \[{{\mu }_{0}}/2{{B}^{2}}\]
  done clear
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• question_answer33) An electromagnetic wave going through vacuum is described by \[E={{E}_{0}}\sin (kx-\omega t)\] Which of the following is/are independent of the wavelength?
  A)
   \[k\]
  done clear
  B)
   \[{{\omega }^{2}}\]
  done clear
  C)
   \[k/\omega \]            
  done clear
  D)
   \[k{{\omega }^{2}}\]
  done clear
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• question_answer34) An ammeter reads up to 1 A. Its internal resistance is \[0.81\Omega \]. To increase the range to 10 A, the value of the required shunt is
  A)
   \[0.09\Omega \]
  done clear
  B)
   \[0.03\Omega \]
  done clear
  C)
   \[0.3\Omega \]
  done clear
  D)
   \[0.9\Omega \]
  done clear
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• question_answer35) A coil of resistance \[10\Omega \] and inductance 5 H is connected to a 100 V battery. Then the energy stored in the coil is
  A)
   250 J          
  done clear
  B)
   250 erg
  done clear
  C)
   125 J          
  done clear
  D)
   125 erg
  done clear
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• question_answer36)  A nucleus \[_{Z}^{A}X\] emits an \[\alpha -particle\]. The resultant nucleus emits a\[{{\beta }^{+}}-particle\].The respective atomic and mass number of final nucleus will be
  A)
   \[Z-3,A-4\]     
  done clear
  B)
   \[Z-1,A-4\]
  done clear
  C)
   \[Z-2,A-4\]     
  done clear
  D)
   \[Z,A-2\]
  done clear
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• question_answer37) In Youngs double slit experiment, the intensity of light at a point on the screen where the path difference is\[\lambda =1\]. The intensity of light at a point where the path difference becomes \[\lambda /3\] is
  A)
   \[\frac{l}{4}\]
  done clear
  B)
  \[\frac{l}{3}\]
  done clear
  C)
  \[\frac{l}{2}\]
  done clear
  D)
   \[I\]
  done clear
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• question_answer38)  Polarising angle for water is \[53{}^\circ 4\]. If light is incident at this angle on the surface of water and reflected the angle of refraction is
  A)
   \[53{}^\circ 4\]
  done clear
  B)
   \[126{}^\circ 56\]
  done clear
  C)
   \[36{}^\circ 56\]
  done clear
  D)
   \[30{}^\circ 4\]
  done clear
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• question_answer39)  A 2 V battery, a \[15\Omega \] resistor and a potentiometer of 100 cm length, all are connected in series. If the resistance of potentiometer wire is \[5\Omega \], then the potential gradient of the potentiometer wire is
  A)
   0.0005 V/cm
  done clear
  B)
   0.05 V/cm
  done clear
  C)
   0.02V/cm
  done clear
  D)
   0.2 V/cm
  done clear
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• question_answer40) The output voltage of a transformer connected to 220 V line is 1100 V at 2 A current. Its efficiency is 100%. The current coming from the line is
  A)
   20 A
  done clear
  B)
   10 A
  done clear
  C)
   11 A
  done clear
  D)
   22 A
  done clear
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• question_answer41) An alkene having molecular formula \[{{C}_{8}}{{H}_{12}}\] on ozonolysis yields glyoxal and 2, 2-dimethyl butane-1, 4-dial. The structure of alkene is
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
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• question_answer42) Amongst \[Ni{{(CO)}_{4}},{{[Ni{{(CN)}_{4}}]}^{2-}}\]and \[[NiCl_{4}^{2-}]\]
  A)
   \[Ni{{(CO)}_{4}}\] and \[NiCl_{4}^{2-}\] are diamagnetic but \[{{[Ni{{(CN)}_{4}}]}^{2-}}\] is paramagnetic
  done clear
  B)
   \[Ni{{(CO)}_{4}}\]and \[{{[Ni{{(CN)}_{4}}]}^{2-}}\] are diamagnetic but \[NiCl_{4}^{2-}\]is paramagnetic
  done clear
  C)
   \[NiCl_{4}^{2-}\] and \[{{[Ni{{(CN)}_{4}}]}^{2-}}\]are diamagnetic but \[Ni{{(CO)}_{4}}\] is paramagnetic
  done clear
  D)
   \[Ni{{(CO)}_{4}}\] is diamagnetic but \[NiCl_{4}^{2-}\] and \[{{[Ni{{(CN)}_{4}}]}^{2-}}\] is paramagnetic
  done clear
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• question_answer43) The equivalent conductances of two ions at infinite dilution in water at \[{{25}^{o}}C\] are given below \[\wedge _{B{{a}^{2+}}}^{o}=127.00\,Sc{{m}^{2}}/equiv\] \[\wedge _{C{{l}^{-}}}^{o}=76.00\,Sc{{m}^{2}}/equiv\] The equivalent conductance (in \[S\,c{{m}^{2}}\]/equiv) of \[BaC{{l}_{2}}\] at infinite dilution will be
  A)
   \[203\]            
  done clear
  B)
   \[279\]
  done clear
  C)
   \[205.5\]          
  done clear
  D)
   \[139.5\]
  done clear
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• question_answer44) The product formed when phthalimide is treated with a mixture of \[B{{r}_{2}}\] and strong \[NaOH\] solution is
  A)
   aniline         
  done clear
  B)
   phthalamide
  done clear
  C)
   phthalic acid    
  done clear
  D)
   anthranilic acid
  done clear
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• question_answer45) In a set of reactions acetic acid yielded a product D. \[C{{H}_{3}}COOH\xrightarrow{SOC{{l}_{2}}}A\xrightarrow[anly.\,\,AlC{{l}_{3}}]{Benzene}B\xrightarrow{HCN}\] \[C\xrightarrow{{{H}_{2}}O}D\] The structure of D would be
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
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• question_answer46) The alcohol having molecular formula \[{{C}_{4}}{{H}_{9}}OH\], when shaken with a mixture of anhydrous \[ZnC{{l}_{2}}\] and cone. \[HCl\] gives an oily layer product after five minutes. The alcohol is
  A)
   \[{{H}_{3}}C-{{(C{{H}_{2}})}_{3}}-OH\]
  done clear
  B)
   \[{{(C{{H}_{3}})}_{2}}CH-C{{H}_{2}}OH\]
  done clear
  C)
   \[{{(C{{H}_{3}})}_{3}}C-OH\]
  done clear
  D)
   \[{{H}_{3}}C-CH(OH)C{{H}_{2}}-C{{H}_{3}}\]
  done clear
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• question_answer47) p-toluidine and benzyl amine can be distinguished by
  A)
   Sandmeyers reaction
  done clear
  B)
   Dye test
  done clear
  C)
   Molisch test
  done clear
  D)
   Gattermann reaction
  done clear
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• question_answer48) \[C{{H}_{3}}C{{H}_{2}}Br\] undergoes Wurtz reaction. We may expect some of the following product

  \[A:C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}C{{H}_{3}}\]

  \[B:C{{H}_{2}}=C{{H}_{2}}\]

  \[C:C{{H}_{3}}-C{{H}_{3}}\]

  Select correct product.
  A)
   Only A        
  done clear
  B)
   A and B
  done clear
  C)
   A, B and C     
  done clear
  D)
   A and C
  done clear
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• question_answer49) Sometimes explosion occurs while distilling ethers. It is due to the presence of
  A)
   peroxides      
  done clear
  B)
   oxides
  done clear
  C)
   ketones        
  done clear
  D)
   aldehydes
  done clear
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• question_answer50) Glycerine is used as a preservative for fruits and eatables because
  A)
   it makes them sweet
  done clear
  B)
   it acts as an insecticide
  done clear
  C)
   it keeps the food moist
  done clear
  D)
   All of the above
  done clear
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• question_answer51)  This reaction is called
  A)
   Reimer-Tiemann reaction
  done clear
  B)
   Lederer-Manasse reaction
  done clear
  C)
   Sandmeyer reaction
  done clear
  D)
   Kolbes reaction
  done clear
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• question_answer52) \[C{{H}_{3}}-C-C{{H}_{3}}\xrightarrow{Se{{O}_{2}}}X+Se+{{H}_{2}}O;X\] is
  A)
   \[\overset{OO}{\mathop{\overset{||||}{\mathop{C{{H}_{3}}-C-C-H}}\,}}\,\]
  done clear
  B)
   \[\overset{O}{\mathop{\overset{||}{\mathop{C{{H}_{3}}-C-OC{{H}_{3}}}}\,}}\,\]
  done clear
  C)
   \[\overset{O}{\mathop{\overset{||}{\mathop{C{{H}_{3}}-C-C{{H}_{2}}OH}}\,}}\,\]
  done clear
  D)
   None of the above
  done clear
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• question_answer53) Which of the following will give Cannizzaro   reaction?
  A)
   \[C{{H}_{3}}CHO\]   
  done clear
  B)
   \[C{{H}_{3}}COC{{H}_{3}}\]
  done clear
  C)
   \[{{(C{{H}_{3}})}_{3}}C-CHO\]
  done clear
  D)
   \[C{{H}_{3}}C{{H}_{2}}CHO\]
  done clear
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• question_answer54) The secondary structure of a protein refers to: 
  A)
   \[\alpha \]-helical backbone
  done clear
  B)
   hydrophobic interactions
  done clear
  C)
   sequence of \[\alpha \]-amino acids
  done clear
  D)
   fixed configuration of the polypeptide backbone
  done clear
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• question_answer55) Self condensation of two moles of ethyl acetate in the presence of sodium ethoxide after acidification yields
  A)
   acetic acid      
  done clear
  B)
   acetoacetic ester
  done clear
  C)
   ethyl propionate
  done clear
  D)
   ethyl butyrate
  done clear
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• question_answer56) Which one of the following will be most basic?
  A)
   Aniline
  done clear
  B)
   p-methoxyaniline
  done clear
  C)
   p-methyl aniline
  done clear
  D)
   Benzylamine
  done clear
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• question_answer57) \[M{{n}_{2}}{{O}_{7}}\] dissolves in water to give an acid. The colour of the acid is
  A)
   green          
  done clear
  B)
   blue
  done clear
  C)
   purple         
  done clear
  D)
   red
  done clear
  View Answer play_arrow

• question_answer58) 925 fine silver means an alloy of
  A)
   \[7.5%\text{ }Ag\] and \[92.5%\text{ }Cu\]
  done clear
  B)
    \[92.5%\text{ }Ag\] and \[7.5%\text{ }Cu\]
  done clear
  C)
    \[80%\text{ }Ag\] and \[20%\text{ }Cu\]
  done clear
  D)
   \[90%\text{ }Ag\] and \[10%\text{ }Cu\]
  done clear
  View Answer play_arrow

• question_answer59) In which of the following octahedral complexes of \[Co\] (At. no. 27), will the magnitude of \[{{\Delta }_{o}}\] be the highest?
  A)
   \[{{[Co{{(CN)}_{6}}]}^{3-}}\]
  done clear
  B)
    \[{{[Co{{({{C}_{2}}{{O}_{4}})}_{3}}]}^{3-}}\]
  done clear
  C)
   \[{{[Co{{({{H}_{2}}O)}_{6}}]}^{3+}}\]   
  done clear
  D)
   \[{{[Co{{(N{{H}_{3}})}_{6}}]}^{3+}}\]
  done clear
  View Answer play_arrow

• question_answer60) Assertion [A] \[C{{u}^{2+}}\] and \[C{{d}^{2+}}\] are separated by first adding \[KCN\] solution and then passing  \[{{H}_{2}}S\] gas.                               Reason [R] \[KCN\] reduces \[C{{u}^{2+}}\] to \[C{{u}^{+}}\] and forms a complex with it. The correct answer is
  A)
   Both [A] and [R] are true and [R] is the correct explanation of [A]
  done clear
  B)
   Both [A] and [R] are true but [R] is not the correct explanation of [A]
  done clear
  C)
   [A] is true but [R] is not true
  done clear
  D)
   [A] is not true but [R] is true
  done clear
  View Answer play_arrow

• question_answer61) The effective atomic number of cobalt in the complex \[{{[Co{{(N{{H}_{3}})}_{6}}]}^{3+}}\] is
  A)
   36            
  done clear
  B)
   24
  done clear
  C)
   33            
  done clear
  D)
   30
  done clear
  View Answer play_arrow

• question_answer62) The IUPAC name for the complex \[[Co(N{{O}_{2}}){{(N{{H}_{3}})}_{5}}]C{{l}_{2}}\]is
  A)
   nitrito-N-pentammine cobalt (III) chloride
  done clear
  B)
   nitrito-N-pentammine cobalt (II) chloride
  done clear
  C)
   pentaminenitrito-N-cobalt (II) chloride
  done clear
  D)
   pentaminenitrito-N-cobalt (III) chloride
  done clear
  View Answer play_arrow

• question_answer63) The radio-isotope used for treatment of thyroid disorders is
  A)
   \[Na-24\]          
  done clear
  B)
   \[P-32\]
  done clear
  C)
   \[Co-60\]          
  done clear
  D)
   \[I-131\]
  done clear
  View Answer play_arrow

• question_answer64) Tetragonal crystal system has the following unit cell dimensions
  A)
   \[a=b=c,\alpha =\beta =\gamma ={{90}^{o}}\]
  done clear
  B)
   \[a=b\ne c,\alpha =\beta =\gamma ={{90}^{o}}\]
  done clear
  C)
   \[a\ne b\ne c,\alpha =\beta =\gamma ={{120}^{o}}\]
  done clear
  D)
   \[a=b\ne c,\alpha =\beta ={{90}^{o}},\gamma ={{120}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer65) A crystalline solid
  A)
   changes rapidly from solid to liquid
  done clear
  B)
   has no definite melting point
  done clear
  C)
   undergoes deformation of its geometry easily
  done clear
  D)
   soften easily
  done clear
  View Answer play_arrow

• question_answer66) Two glass bulbs A and B are connected by a very small tube having a stop-cock. Bulb A has a volume of 100 cm3 and contained the gas while bulb B was empty. On opening stop-clock, the pressure fell down to 40%. The volume of the bulb B must be
  A)
   \[75c{{m}^{3}}\]
  done clear
  B)
   \[125c{{m}^{3}}\]
  done clear
  C)
   \[150c{{m}^{3}}\]       
  done clear
  D)
   \[250c{{m}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer67) 20 mL of 0.2 M \[NaOH\] is added to 50 mL of 0.2 M acetic acid. The pH of this solution after mixing is \[({{K}_{a}}=1.8\times {{10}^{-5}})\]
  A)
   \[4.5\]              
  done clear
  B)
   \[2.3\]
  done clear
  C)
   \[3.8\]              
  done clear
  D)
   \[4\]
  done clear
  View Answer play_arrow

• question_answer68) Consider the following equation, which represents a reaction in the extraction of chromium from its ore \[2F{{e}_{2}}{{O}_{3}}.C{{r}_{2}}{{O}_{3}}+4N{{a}_{2}}C{{O}_{3}}+3{{O}_{2}}\] \[\xrightarrow{{}}2F{{e}_{2}}{{O}_{3}}+4N{{a}_{2}}Cr{{O}_{4}}+4C{{O}_{2}}\] Which one of the following statements about the oxidation states of the substances is correct?
  A)
   The iron has been reduced from \[+3\] to \[+2\] state.
  done clear
  B)
   The chromium has been oxidised from \[+3\] to \[+6\] state.
  done clear
  C)
   The carbon has been oxidised from \[+2\] to \[+4\] state.
  done clear
  D)
   There is no change in the oxidation state of the substances in the reaction.
  done clear
  View Answer play_arrow

• question_answer69) The freezing point of a solution composed of 10.0 g of \[KCl\] in 100 g of water is \[{{4.5}^{o}}C\]. Calculate the vant Hoff factor, i for this solution.
  A)
   \[2.50\]            
  done clear
  B)
   \[1.8\]
  done clear
  C)
   \[1.2\]              
  done clear
  D)
   \[1.3\]
  done clear
  View Answer play_arrow

• question_answer70) In the reversible reaction, \[2N{{O}_{2}}{{N}_{2}}{{O}_{4}}\] the rate of disappearance of \[N{{O}_{2}}\] is equal to
  A)
   \[\frac{2{{k}_{1}}}{{{k}_{2}}}{{[N{{O}_{2}}]}^{2}}\]
  done clear
  B)
   \[2{{k}_{1}}{{[N{{O}_{2}}]}^{2}}-2{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\]
  done clear
  C)
   \[2{{k}_{1}}{{[N{{O}_{2}}]}^{2}}-{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\]
  done clear
  D)
   \[(2{{k}_{1}}-{{k}_{2}})[N{{O}_{2}}]\]
  done clear
  View Answer play_arrow

• question_answer71) A chemical reaction was carried out at 300 K and 280 K. The rate constants were found to be \[{{k}_{1}}\] and \[{{k}_{2}}\] respectively. Then
  A)
   \[{{k}_{2}}=4{{k}_{1}}\]
  done clear
  B)
   \[{{k}_{2}}=2{{k}_{1}}\]
  done clear
  C)
   \[{{k}_{2}}=0.25{{k}_{1}}\]
  done clear
  D)
   \[{{k}_{2}}=0.5{{k}_{1}}\]
  done clear
  View Answer play_arrow

• question_answer72) The rate constant of a reaction at temperature 200 K is 10 times less than the rate constant at 400 K. What is the activation energy of the reaction?
  A)
   \[1842.4\text{ }R\]      
  done clear
  B)
   \[460.6\text{ }R\]
  done clear
  C)
   \[230.3\text{ }R\]
  done clear
  D)
   \[921.2\text{ }R\]
  done clear
  View Answer play_arrow

• question_answer73) A vessel at 1000 K contains \[C{{O}_{2}}\] with a pressure of 0.5 atm. Some of the \[C{{O}_{2}}\] is converted into \[CO\] on the addition of graphite. The value of K if the total pressure at equilibrium is 0.8 atm, is
  A)
   \[1.8atm\]        
  done clear
  B)
   \[3atm\]
  done clear
  C)
   \[0.3atm\]
  done clear
  D)
   \[0.18atm\]
  done clear
  View Answer play_arrow

• question_answer74) For the reaction \[2A+BC,\]  \[\Delta H=x\,cal\], which one of the following conditions would favour the yield of C on the basis of Le-Chatelier principle?
  A)
   High pressure, high temperature
  done clear
  B)
   Only low temperature                      
  done clear
  C)
   High pressure, low temperature
  done clear
  D)
   Only low pressure
  done clear
  View Answer play_arrow

• question_answer75) The EMF of the cell, \[Mg|M{{g}^{2+}}(0.01M)||S{{n}^{2+}}(0.1M)|Sn\]at  298 K is \[(E_{M{{g}^{2+}}/Mg}^{o}=-2.34V,\,E_{S{{n}^{2+}}/Sn}^{o}=-0.14V)\]
  A)
   \[2.17V\]
  done clear
  B)
   \[2.23V\]
  done clear
  C)
   \[2.51V\]
  done clear
  D)
   \[2.45V\]
  done clear
  View Answer play_arrow

• question_answer76) Heat of formation, \[\Delta H_{f}^{o}\] of an explosive compound like \[NC{{l}_{3}}\] is
  A)
   positive
  done clear
  B)
   negative
  done clear
  C)
   zero
  done clear
  D)
   positive or negative
  done clear
  View Answer play_arrow

• question_answer77) For the reaction, \[{{C}_{3}}{{H}_{8}}(g)+5{{O}_{2}}(g)\xrightarrow{{}}3C{{O}_{2}}(g)+4{{H}_{2}}O)(l)\] at constant temperature, \[\Delta H-\Delta E\] is
  A)
   \[RT\]           
  done clear
  B)
   \[-3RT\]
  done clear
  C)
   \[3RT\]          
  done clear
  D)
   \[-RT\]
  done clear
  View Answer play_arrow

• question_answer78) The favourable conditions for a spontaneous reaction are
  A)
   \[T\,\,\Delta S>\Delta H,\,\Delta H=+ve,\,\Delta S=+ve\]
  done clear
  B)
   \[T\,\,\Delta S>\Delta H,\,\Delta H=+ve,\,\Delta S=-ve\]
  done clear
  C)
   \[T\,\,\Delta S>\Delta H,\,\Delta H=-ve,\,\Delta S=-ve\]
  done clear
  D)
   \[T\,\,\Delta S>\Delta H,\,\Delta H=+ve,\,\Delta S=+ve\]
  done clear
  View Answer play_arrow

• question_answer79) Compound A and B are treated with dil. \[HCl\] separately. The gases liberated are Y and Z respectively. Y turns acidified dichromate paper green while Z turns lead acetate paper black. The compound A and B are respectively.
  A)
   \[N{{a}_{2}}C{{O}_{3}}\] and \[NaCl\]
  done clear
  B)
   \[N{{a}_{2}}S{{O}_{3}}\] and \[N{{a}_{2}}S\]        
  done clear
  C)
   \[N{{a}_{2}}S\] and \[N{{a}_{2}}S{{O}_{3}}\]
  done clear
  D)
   \[N{{a}_{2}}S{{O}_{3}}\] and \[N{{a}_{2}}S{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer80) Which of the following is correct comparison of the stability of the molecules?                    
  A)
   \[CN>O_{2}^{+}\]        
  done clear
  B)
   \[CN={{N}_{2}}\]
  done clear
  C)
   \[{{N}_{2}}<{{O}_{2}}\]        
  done clear
  D)
   \[H_{2}^{+}>He_{2}^{+}\]
  done clear
  View Answer play_arrow

• question_answer81) To the lines \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0,\] the lines \[{{a}^{2}}{{x}^{2}}+2h(a+b)\,xy+{{b}^{2}}{{y}^{2}}=0\]are
  A)
   equally inclined
  done clear
  B)
   perpendicular
  done clear
  C)
   bisector of the angle
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer82) If \[R\] be a relation from \[A=\{1,\,\,2,\,\,3,\,\,4\}\] to \[B=\{1,\,3,\,5\}\] such that \[(a,\,b)\in \,R\Leftrightarrow a<b,\]then \[RO{{R}^{-1}}\]is
  A)
   \[\{(1,\,3),\,(1,\,5),\,(2,\,3),\,(2,\,5),\,(3,\,5),\,(4,\,5)\}\]
  done clear
  B)
   \[\{(3,\,1),\,(5,\,1),\,(3,\,2),\,(5,\,2),\,(5,\,3),\,(5,\,4)\}\]
  done clear
  C)
   \[\{(3,\,3),\,(3,\,5),\,(5,\,3),\,(5,\,5)\}\]
  done clear
  D)
   \[\{(3,\,3),\,(3,\,4),\,(3,\,4),\,(4,\,5)\}\]
  done clear
  View Answer play_arrow

• question_answer83) If \[x+iy={{(1-i\sqrt{3})}^{100}},\]then find\[(x,y).\]
  A)
   \[({{2}^{99}},\,{{2}^{99}}\sqrt{3})\]
  done clear
  B)
   \[({{2}^{99}},\,-{{2}^{99}}\sqrt{3})\]
  done clear
  C)
   \[(-{{2}^{99}},\,{{2}^{99}}\sqrt{3})\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer84) For a GP, \[{{a}_{n}}=3({{2}^{n}}),\] \[\forall \]\[n\in N.\] Find the common ratio.
  A)
   \[2\]
  done clear
  B)
   \[3\]
  done clear
  C)
   \[\frac{1}{2}\]
  done clear
  D)
   \[\frac{1}{3}\]
  done clear
  View Answer play_arrow

• question_answer85) If \[a,\,b,\,c\]are in HP, then \[\frac{a}{b+c},\frac{b}{c+a},\frac{c}{a+b}\]will be in
  A)
   AP
  done clear
  B)
   GP
  done clear
  C)
   HP
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer86) If \[\frac{{{x}^{2}}+2x+7}{2x+3}<6,\]\[x\in R,\]then
  A)
   \[x>11\]or\[x<-\frac{3}{2}\]
  done clear
  B)
   \[x>11\]or \[x<-1\]
  done clear
  C)
   \[-\frac{3}{2}<x<-1\]
  done clear
  D)
   \[-1<x<11\]or \[x<-\frac{3}{2}\]
  done clear
  View Answer play_arrow

• question_answer87) The number of ways of painting the faces of a cube of six different colours is
  A)
   1
  done clear
  B)
   6
  done clear
  C)
   6!
  done clear
  D)
   36
  done clear
  View Answer play_arrow

• question_answer88) A line passes through (2, 2) and is perpendicular to the line \[3x+y=3.\] What is its y-intercept?
  A)
   \[\frac{1}{3}\]
  done clear
  B)
   \[\frac{2}{3}\]
  done clear
  C)
   \[1\]
  done clear
  D)
   \[\frac{4}{3}\]
  done clear
  View Answer play_arrow

• question_answer89) The number of common tangents to the circles\[{{x}^{2}}+{{y}^{2}}=4\]and \[{{x}^{2}}+{{y}^{2}}-6x-8y=24\]is
  A)
   0
  done clear
  B)
   1
  done clear
  C)
   2
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer90) If \[D\]is the set of the \[x\] such that \[1-{{e}^{(1/x)-1}}\] is positive, then \[D\] is equal to
  A)
   \[(-\,\infty ,\,1)\]
  done clear
  B)
   \[(-\,\infty ,\,0)\]
  done clear
  C)
   \[(1,\,\infty )\]
  done clear
  D)
   \[(-\,\infty ,\,0)\cup (1,\,\infty )\]
  done clear
  View Answer play_arrow

• question_answer91) Find the value of the limit \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\sqrt{1-\cos x}}{x}\,\,.\]
  A)
   0
  done clear
  B)
   1
  done clear
  C)
   \[\sqrt{2}\]
  done clear
  D)
   does not exist
  done clear
  View Answer play_arrow

• question_answer92) Evaluate\[\int{\frac{{{x}^{2}}+4}{{{x}^{4}}+16}dx.}\]
  A)
   \[\frac{1}{2\sqrt{2}}{{\tan }^{-1}}\left( \frac{{{x}^{2}}-4}{2x\sqrt{2}} \right)+C\]
  done clear
  B)
   \[\frac{1}{2\sqrt{2}}{{\tan }^{-1}}\left( \frac{{{x}^{2}}-4}{2\sqrt{2}} \right)+C\]
  done clear
  C)
   \[\frac{1}{2\sqrt{2}}{{\tan }^{-1}}\left( \frac{{{x}^{2}}-4}{x\sqrt{2}} \right)+C\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer93) Evaluate \[\int_{\pi /4}^{3\pi /4}{\frac{1}{1+\cos x}}dx\]
  A)
   \[2\]
  done clear
  B)
   \[-2\]
  done clear
  C)
   \[\frac{1}{2}\]
  done clear
  D)
   \[-\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer94) If one AM A and two GM p and q are inserted between two given numbers, then find the value of \[\frac{{{p}^{2}}}{q}+\frac{{{q}^{2}}}{p}.\]
  A)
   A
  done clear
  B)
   2A
  done clear
  C)
   3A
  done clear
  D)
   4A
  done clear
  View Answer play_arrow

• question_answer95) If the roots of the equations \[{{x}^{2}}+ax+b=0\]are c and d, then one of the roots of the equation\[{{x}^{2}}+(2c+a)x+{{c}^{2}}+ac+b=0\]is
  A)
   \[c\]
  done clear
  B)
   \[d-c\]
  done clear
  C)
   \[2d\]
  done clear
  D)
   \[2c\]
  done clear
  View Answer play_arrow

• question_answer96) The sum of the coefficients of\[{{(6a-5b)}^{n}},\]where n is positive integer, is
  A)
   \[1\]
  done clear
  B)
   \[-1\]
  done clear
  C)
   \[{{2}^{n}}\]
  done clear
  D)
   \[{{2}^{n-1}}\]
  done clear
  View Answer play_arrow

• question_answer97) Find the value of \[{{(7.995)}^{1/3}}\]correct to four decimal places.
  A)
   1.9995
  done clear
  B)
   1.9996
  done clear
  C)
   1.9990
  done clear
  D)
   1.9991
  done clear
  View Answer play_arrow

• question_answer98) The values of constants a and b so that \[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{2}}+1}{x+1}-ax-b \right)=0\]
  A)
   \[a=0,\,\,b=0\]
  done clear
  B)
   \[a=1,\,\,b=-1\]
  done clear
  C)
   \[a=-1,\,\,b=1\]
  done clear
  D)
   \[a=2,\,\,b=-1\]
  done clear
  View Answer play_arrow

• question_answer99) The projection of the vector \[i-2j+k\]on the vector \[4i-4j+7k\]is
  A)
   \[\frac{5\sqrt{6}}{10}\]
  done clear
  B)
   \[\frac{19}{9}\]
  done clear
  C)
   \[\frac{9}{19}\]
  done clear
  D)
   \[\frac{\sqrt{6}}{19}\]
  done clear
  View Answer play_arrow

• question_answer100) If \[a,\,\,b,\,\,c\]are three non-zero vectors such that \[a+b+c=0\] and \[m=a\cdot b+b\cdot c+c\cdot a,\]then
  A)
   \[m<0\]
  done clear
  B)
   \[m>0\]
  done clear
  C)
   \[m=0\]
  done clear
  D)
   \[m=3\]
  done clear
  View Answer play_arrow

• question_answer101) A line making angles \[45{}^\circ \] and \[60{}^\circ \] with the positive directions of the axes of x and y makes with the positive directions of z-axis, an angle of
  A)
   \[60{}^\circ \]
  done clear
  B)
   \[120{}^\circ \]
  done clear
  C)
   \[60{}^\circ \,\,\text{or}\,\,120{}^\circ \]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer102) If \[I=\left[ \begin{matrix}   1 & 0  \\    0 & 1  \\ \end{matrix} \right],\] \[J=\left[ \begin{matrix}    0 & 1  \\    -1 & 0  \\ \end{matrix} \right]\] and \[B=\left[ \begin{matrix}    \cos \theta  & \sin \theta   \\    -\sin \theta  & \cos \theta   \\ \end{matrix} \right],\] then B is equal to
  A)
   \[I\cos \theta +J\sin \theta \]
  done clear
  B)
   \[I\,\sin \theta +J\,\cos \theta \]
  done clear
  C)
   \[I\cos \theta -J\sin \theta \]
  done clear
  D)
   \[-I\cos \theta +J\sin \theta \]
  done clear
  View Answer play_arrow

• question_answer103) Which of the following is correct?
  A)
   Determinant is a square matrix
  done clear
  B)
   Determinant is a number associated to matrix
  done clear
  C)
   Determinant is a number associated to a square matrix
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer104) If \[\alpha ,\]\[\beta \]and \[\gamma \]are the roots of \[{{x}^{3}}+a{{x}^{2}}+b=0,\] then the value of \[\left| \begin{matrix}  \alpha  & \beta  & \gamma   \\    \beta  & \gamma  & \alpha   \\    \gamma  & \alpha  & \beta   \\ \end{matrix} \right|\]is
  A)
   \[-{{a}^{3}}\]
  done clear
  B)
   \[{{a}^{3}}-3b\]
  done clear
  C)
   \[{{a}^{3}}\]
  done clear
  D)
   \[{{a}^{2}}-3b\]
  done clear
  View Answer play_arrow

• question_answer105) If the axes are shifted to the point \[(1,\,\,-2)\] without solution, then the equation \[2{{x}^{2}}+{{y}^{2}}-4x+4y=0\] becomes
  A)
   \[2{{X}^{2}}+3{{Y}^{2}}=6\]
  done clear
  B)
   \[2{{X}^{2}}+{{Y}^{2}}=6\]
  done clear
  C)
   \[{{X}^{2}}+2{{Y}^{2}}=6\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer106) If \[f(x)=\left\{ \begin{align} & \,\,\,\,\,\,\,\,\,{{x}^{2}},\,\,\,x\le 0 \\  & 2\,\sin x,\,\,\,x>0 \\ \end{align} \right.\,\,,\] then \[x=0\]is
  A)
   point of minima
  done clear
  B)
   point of maxima
  done clear
  C)
   point of discontinuity
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer107) In a group \[(G,\,*),\] then equation \[x\,\,*\,\,a=b\] has a
  A)
   unique solution \[b\,\,\,*\,\,{{a}^{-1}}\]
  done clear
  B)
   unique solution \[{{a}^{-1}}\,\,*\,\,b\]
  done clear
  C)
   unique solution \[{{a}^{-1}}\,\,*\,\,{{b}^{-1}}\]
  done clear
  D)
   many solutions
  done clear
  View Answer play_arrow

• question_answer108) A die is rolled twice and the sum of the numbers appearing on them is observed to be 7. What is the conditional probability that the number 2 has appeared at least once?
  A)
   \[\frac{1}{2}\]
  done clear
  B)
   \[\frac{1}{3}\]
  done clear
  C)
   \[\frac{2}{3}\]
  done clear
  D)
   \[\frac{2}{5}\]
  done clear
  View Answer play_arrow

• question_answer109) The locus of the mid-points of the focal chord of the parabola\[{{y}^{2}}=4ax\]is
  A)
   \[{{y}^{2}}=a\,(x-a)\]
  done clear
  B)
   \[{{y}^{2}}=2a\,(x-a)\]
  done clear
  C)
   \[{{y}^{2}}=4a\,(x-a)\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer110) Find the value of \[\sin 12{}^\circ \,\sin 48{}^\circ \,\sin 54{}^\circ .\]
  A)
   \[\frac{1}{2}\]
  done clear
  B)
   \[\frac{1}{4}\]
  done clear
  C)
   \[\frac{1}{6}\]
  done clear
  D)
   \[\frac{1}{8}\]
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• question_answer111) In an equilateral triangle, the in radius, circumradius and one of the exradii are in the ratio
  A)
   \[2:3:5\]
  done clear
  B)
   \[1:2:3\]
  done clear
  C)
   \[1:3:7\]
  done clear
  D)
   \[3:7:9\]
  done clear
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• question_answer112) Let p and q be two statements. Then, \[p\vee q\]is false, if
  A)
   p is false and q is true
  done clear
  B)
   both p and q are false
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  C)
   both p and q are true
  done clear
  D)
   None of the above
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• question_answer113) In how many ways 6 letters be posted in 5 different letter boxes?
  A)
   \[{{5}^{6}}\]
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  B)
   \[{{6}^{5}}\]
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  C)
   \[5!\]
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  D)
   \[6!\]
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• question_answer114) If A and B be two sets that \[A\times B\] consists of 6 elements. If three elements \[A\times B\]are (1, 4) (2, 6) and (3, 6), find \[B\times A\].
  A)
   {(1, 4), (1, 6), (2, 4), (2, 6), (3, 4), (3, 6)}
  done clear
  B)
   {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}
  done clear
  C)
   {(4, 4), (6, 6)}
  done clear
  D)
   {(4, 1), (6, 2), (6, 3)}
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• question_answer115) Let \[f:R\to R\]be defined as \[f(x)={{x}^{2}}+1,\] find \[{{f}^{-1}}(-5).\]
  A)
   \[\{\,\phi \,\}\]
  done clear
  B)
   \[\phi \]
  done clear
  C)
   \[\{\,5\,\}\]
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  D)
   \[\{\,-5,\,\,5\,\}\]
  done clear
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• question_answer116) If \[X\] is a poisson variate such that \[P(X=1)=P(X=2),\] then \[P\,(X=4)\]is equal to
  A)
   \[\frac{1}{2{{e}^{2}}}\]
  done clear
  B)
   \[\frac{1}{3{{e}^{2}}}\]
  done clear
  C)
   \[\frac{2}{3{{e}^{2}}}\]
  done clear
  D)
   \[\frac{1}{{{e}^{2}}}\]
  done clear
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• question_answer117) The area enclosed by \[y=3x-5,\] \[y=0,\] \[x=3\] and \[x=5\]is
  A)
   12 sq units
  done clear
  B)
   13 sq units
  done clear
  C)
   \[13\frac{1}{2}\] sq units
  done clear
  D)
   14 sq units
  done clear
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• question_answer118) The order and degree of the differential equation \[{{\left( 1+4\frac{dy}{dx} \right)}^{2/3}}=4\frac{{{d}^{2}}y}{d{{x}^{2}}}\] are respectively
  A)
   \[1,\,\frac{2}{3}\]
  done clear
  B)
   \[3,\,2\]
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  C)
   \[2,\,3\]
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  D)
   \[2,\,\frac{2}{3}\]
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• question_answer119) The solution of the differential equation \[\frac{dy}{dx}={{(4x+y+1)}^{2}},\] is
  A)
   \[(4x+y+1)=\tan \,(2x+C)\]
  done clear
  B)
   \[{{(4x+y+1)}^{2}}=2\tan \,(2x+C)\]
  done clear
  C)
   \[{{(4x+y+1)}^{3}}=3\tan \,(2x+C)\]
  done clear
  D)
   \[(4x+y+1)=2\tan \,(2x+C)\]
  done clear
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• question_answer120) The system of equations \[2x+y-5=0,\] \[x-2y+1=0,\] \[2x-14y-a=0,\] is consistent. Then, a is equal to
  A)
   1
  done clear
  B)
   2
  done clear
  C)
   5
  done clear
  D)
   None of these
  done clear
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