Solved papers for JCECE Engineering JCECE Engineering Solved Paper-2004

done JCECE Engineering Solved Paper-2004 Total Questions - 150

• question_answer1) The direction of vector \[\overset{\to }{\mathop{\mathbf{A}}}\,\] is reversed. What are the values of \[\Delta \overset{\to }{\mathop{\mathbf{A}}}\,\]A and\[\Delta |\overset{\to }{\mathop{\mathbf{A}}}\,|\]?
  A)
  \[+2\overset{\to }{\mathop{\mathbf{A}}}\,,\,\,0\]                         
  done clear
  B)
  \[+\overset{\to }{\mathop{\mathbf{A}}}\,,\,\,0\]
  done clear
  C)
  \[-\overset{\to }{\mathop{\mathbf{A}}}\,,\,\,0\]                            
  done clear
  D)
  \[-2\overset{\to }{\mathop{\mathbf{A}}}\,,\,\,0\]
  done clear
  View Answer play_arrow

• question_answer2) The velocity of a body moving with uniform acceleration at a given instant of time \[t\] is\[10\,\,m/s\]. After \[5\,\,s\] its velocity is \[20\,\,m/s\]. Distance travelled in that time is:
  A)
  \[300\,\,m\]                      
  done clear
  B)
  \[400\,\,m\]
  done clear
  C)
  \[150\,\,m\]                      
  done clear
  D)
   \[75\,\,m\]
  done clear
  View Answer play_arrow

• question_answer3) A stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first\[5\,\,s\]. It is in air for:
  A)
  \[26\,\,s\]                                          
  done clear
  B)
  \[25\,\,s\]
  done clear
  C)
  \[13\,\,s\]                                          
  done clear
  D)
  \[12\,\,s\]
  done clear
  View Answer play_arrow

• question_answer4) A child is swinging a swing. Minimum and maximum heights of swing from earth's surface are \[0.75\,\,m\] and \[2\,\,m\] respectively. The maximum velocity of this swing is:
  A)
  \[5\,\,m/s\]                       
  done clear
  B)
  \[10\,\,m/s\]
  done clear
  C)
  \[15\,\,m/s\]                    
  done clear
  D)
   \[20\,\,m/s\]
  done clear
  View Answer play_arrow

• question_answer5) An object is thrown along a direction making an angle \[{{45}^{o}}\] with the horizontal direction. The horizontal range of the object is equal to:
  A)
   twice the vertical height
  done clear
  B)
   vertical height
  done clear
  C)
   four times the vertical height
  done clear
  D)
   three times the vertical height
  done clear
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• question_answer6) A fireman wants to slide down a rope. The breaking load for the rope is \[\frac{3}{4}th\] of the weight of the man. With what acceleration should the fireman slide down? (Acceleration due to gravity is\[g)\]
  A)
  \[\frac{g}{2}\]                                   
  done clear
  B)
  \[\frac{g}{4}\]
  done clear
  C)
  \[\frac{3g}{4}\]                                
  done clear
  D)
  \[zero\]
  done clear
  View Answer play_arrow

• question_answer7) A body of mass \[1\,\,kg\] is rotating in a vertical circle of radius \[1\,\,m\]. What will be the difference in kinetic energy at the top and at the bottom of the circle? (Take\[g=10\,\,m/{{s}^{2}})\]
  A)
  \[50\,\,J\]                                           
  done clear
  B)
  \[30\,\,J\]
  done clear
  C)
  \[20\,\,J\]                           
  done clear
  D)
  \[10\,\,J\]
  done clear
  View Answer play_arrow

• question_answer8) A circular ring of mass m and radius r is rolling on a smooth horizontal surface with speed \[v\]. Its kinetic energy is:
  A)
  \[\frac{1}{8}m{{v}^{2}}\]                             
  done clear
  B)
  \[\frac{1}{4}m{{v}^{2}}\]
  done clear
  C)
  \[\frac{1}{3}m{{v}^{2}}\]                             
  done clear
  D)
  \[m{{v}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer9) A satellite is evolving around the earth in a circular orbit of radius 4 times that of the parking orbit, The time period of the satellite is:
  A)
  \[16\,\,days\]                   
  done clear
  B)
  \[2\,\,days\]
  done clear
  C)
  \[4\,\,days\]                     
  done clear
  D)
   \[8\,\,days\]
  done clear
  View Answer play_arrow

• question_answer10) As shown, in figure, a planet revolves in elliptical orbit around the sun. Where is \[KE\] of the planet maximum?
  A)
   At\[{{P}_{4}}\]                
  done clear
  B)
   At\[{{P}_{1}}\]
  done clear
  C)
   At\[{{P}_{2}}\]                
  done clear
  D)
    At\[{{P}_{3}}\]
  done clear
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• question_answer11) If the condenser shown in the circuit is charged to \[5\,\,V\] and left in the circuit, in \[12\,\,s\] the charge on the condenser will become:
  A)
  \[\frac{10}{e}coulomb\]                              
  done clear
  B)
  \[\frac{{{e}^{2}}}{10}coulomb\]
  done clear
  C)
   \[\frac{10}{{{e}^{2}}}coulomb\]                              
  done clear
  D)
   \[\frac{e}{10}coulomb\]
  done clear
  View Answer play_arrow

• question_answer12) A sings with a frequency \[(n)\] and \[B\] sings with a frequency \[1/8\] that of \[A\]. If the energy remains the same and the amplitude of \[A\] is \[a,\] the amplitude of \[B\] will be:
  A)
  \[2a\]                                   
  done clear
  B)
  \[8a\]
  done clear
  C)
  \[4a\]                                   
  done clear
  D)
   \[a\]
  done clear
  View Answer play_arrow

• question_answer13) Reactance of a capacitor of capacitance \[C\,\,\mu F\] for \[AC\] frequency \[\frac{400}{\pi }Hz\] is \[25\Omega \], the value of \[C\] is:
  A)
  \[75\,\,\mu F\]                
  done clear
  B)
  \[100\,\,\mu F\]
  done clear
  C)
  \[25\,\,\mu F\]                
  done clear
  D)
   \[50\,\,\mu F\]
  done clear
  View Answer play_arrow

• question_answer14) An electron and a proton have same de-Broglie wavelength, then kinetic energy of the electron is:
  A)
   greater than \[KE\] of proton
  done clear
  B)
   zero
  done clear
  C)
   equal to \[KE\] of proton
  done clear
  D)
    infinite
  done clear
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• question_answer15) Relative permeability of iron is \[5500\]. Its magnetic susceptibility is:
  A)
  \[5499\]                              
  done clear
  B)
  \[5500\times {{10}^{7}}\]
  done clear
  C)
  \[5500\times {{10}^{-7}}\]                           
  done clear
  D)
   \[5501\]
  done clear
  View Answer play_arrow

• question_answer16) A force of \[7\widehat{\mathbf{i}}+6\widehat{\mathbf{k}}\] makes a body to move on a plane with the velocity \[3\widehat{\mathbf{j}}+4\widehat{\mathbf{k}}\]. The power developed is:
  A)
  \[\sqrt{45}\]                                      
  done clear
  B)
  \[45\]
  done clear
  C)
  \[24\]                                   
  done clear
  D)
  \[\sqrt{24}\]
  done clear
  View Answer play_arrow

• question_answer17) The variation of \[PV\] with \[V\] of a fixed mass of an ideal gas at constant temperature is graphically represented by as shown in figure:
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
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• question_answer18) The number of oxygen molecules in a cylinder of volume \[1\,\,{{m}^{3}}\] at a temperature of  \[{{27}^{o}}C\] and pressure of \[13.8\,\,Pa\] is: (Boltzmann's constant\[k=1.38\times {{10}^{-23}}J\,\,{{K}^{-1}})\]
  A)
  \[6.13\times {{10}^{26}}\]                           
  done clear
  B)
  \[0.3\times {{10}^{28}}\]
  done clear
  C)
  \[3.3\times {{10}^{21}}\]                             
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer19) The minimum magnifying power of a telescope is \[M\]. If the focal length of the eye lens is halved, the magnifying power will become:
  A)
  \[\frac{M}{4}\]                                 
  done clear
  B)
  \[3\,\,M\]
  done clear
  C)
  \[2\,\,M\]                                          
  done clear
  D)
   \[4\,\,M\]
  done clear
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• question_answer20) The surface temperature is maximum for:
  A)
   blue star            
  done clear
  B)
   yellow star
  done clear
  C)
   green star         
  done clear
  D)
    red star
  done clear
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• question_answer21) A convergent doublet of separated lens, corrected for spherical aberration, are separated by \[2\,\,cm\] and has an equivalent focal length of \[10\,\,cm\]. The focal length of its component lenses are:
  A)
  \[{{f}_{1}}=18\,\,cm,\,\,{{f}_{2}}=10\,\,cm\]
  done clear
  B)
  \[{{f}_{1}}=20\,\,cm,\,\,{{f}_{2}}=28\,\,cm\]
  done clear
  C)
  \[{{f}_{1}}=20\,\,cm,\,\,{{f}_{2}}=18\,\,cm\]
  done clear
  D)
  \[{{f}_{1}}=24\,\,cm,\,\,{{f}_{2}}=18\,\,cm\]
  done clear
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• question_answer22) In Young's experiment using light of wavelength \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\], fringe width obtained at distance \[2.5\,\,m\] is \[0.8\,\,mm\]. If the entire apparatus is immersed in a liquid of refractive index \[1.6\], the fringe width will be:
  A)
  \[0.2\,\,mm\]                   
  done clear
  B)
  \[0.4\,\,mm\]
  done clear
  C)
  \[0.5\,\,mm\]                   
  done clear
  D)
  \[0.6\,\,mm\]
  done clear
  View Answer play_arrow

• question_answer23) In double slit experiment, the angular width of interference fringes with sodium light \[(\lambda =5890\overset{\text{o}}{\mathop{\text{A}}}\,)\] is \[{{0.20}^{o}}\]. The change in wavelength required to increase the angular width by \[10%\] will be:
  A)
   zero
  done clear
  B)
   increased by \[6479\overset{\text{o}}{\mathop{\text{A}}}\,\]  
  done clear
  C)
   increased by \[589\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  D)
   decreased by \[589\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  View Answer play_arrow

• question_answer24) \[SHM\] is executed by a particle of mass \[m\]. The displacement of the particle is \[\left( \frac{1}{\sqrt{2}} \right)\] times the amplitude. What fraction of the total energy is kinetic at this displacement?
  A)
  \[\frac{\sqrt{3}}{2}\]                                     
  done clear
  B)
  \[\frac{1}{\sqrt{2}}\]
  done clear
  C)
  \[\frac{3}{4}\]                                   
  done clear
  D)
  \[\frac{1}{2}\]
  done clear
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• question_answer25) The period of SHM of a particle is 12 s. The phase difference between the positions at\[t=3\,\,s\]and\[t=4\,\,s\]will be:
  A)
  \[\pi /4\]                                             
  done clear
  B)
  \[3\pi /5\]
  done clear
  C)
  \[\pi /6\]                                             
  done clear
  D)
  \[\pi /2\]
  done clear
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• question_answer26) The volume of a metal sphere increases by \[0.15%\] when its temperature is raised by\[{{24}^{o}}C\]. The coefficient of linear expansion of metal is:
  A)
  \[2.5\times {{10}^{-5}}{{/}^{o}}C\]          
  done clear
  B)
  \[2.0\times {{10}^{-5}}{{/}^{o}}C\]
  done clear
  C)
  \[1.5\times {{10}^{-5}}{{/}^{o}}C\]          
  done clear
  D)
  \[1.2\times {{10}^{-5}}{{/}^{o}}C\]
  done clear
  View Answer play_arrow

• question_answer27) The radii of two soap bubbles are \[{{r}_{1}}\] and \[{{r}_{2}}\] \[({{r}_{2}}>{{r}_{1}})\]. When they come into contact, the radius of their common interface is:
  A)
  \[{{r}_{2}}-{{r}_{1}}\]                     
  done clear
  B)
  \[\sqrt{r_{1}^{2}-r_{2}^{2}}\]
  done clear
  C)
  \[\frac{{{r}_{1}}+{{r}_{2}}}{2}\]                 
  done clear
  D)
  \[\frac{{{r}_{1}}{{r}_{2}}}{{{r}_{1}}-{{r}_{2}}}\]
  done clear
  View Answer play_arrow

• question_answer28) A ray of light is incident on the surface of a glass slab at \[{{60}^{o}}\]. The refractive index of glass, if the reflected and refracted rays are mutually perpendicular to each other, will be:
  A)
  \[1.5\]                                  
  done clear
  B)
  \[4.16\]
  done clear
  C)
  \[2.25\]                               
  done clear
  D)
  \[1.73\]
  done clear
  View Answer play_arrow

• question_answer29) A stretched string is \[1\,\,m\] long. It?s mass per unit length is \[0.5\,\,g/m\]. It is stretched with a force of \[20\,\,N\]. It is plucked at a distance of \[25\,\,cm\] from one end. The frequency of note emitted by it will be:
  A)
  \[400\,\,Hz\]                     
  done clear
  B)
  \[300\,\,Hz\]
  done clear
  C)
  \[200\,\,Hz\]                     
  done clear
  D)
  \[100\,\,Hz\]
  done clear
  View Answer play_arrow

• question_answer30) A transverse wave is given by \[y=A\sin 2\pi (f\,\,t-x/\lambda )\] . The maximum particle velocity is \[4\] times the wave velocity when:
  A)
  \[\lambda =2\pi A\]                       
  done clear
  B)
  \[\lambda =\pi A\]
  done clear
  C)
   \[\lambda =\pi A/2\]                    
  done clear
  D)
   \[\lambda =\pi A/4\]
  done clear
  View Answer play_arrow

• question_answer31) The energy in \[eV\] of red light of wavelength \[\lambda =6560\overset{\text{o}}{\mathop{\text{A}}}\,\] is:
  A)
  \[1.89\,\,eV\]                   
  done clear
  B)
  \[2.89\,\,eV\]
  done clear
  C)
  \[3.89\,\,eV\]                   
  done clear
  D)
  \[4.89\,\,eV\]
  done clear
  View Answer play_arrow

• question_answer32) The wavelength of first member of Lyman series is \[1215\overset{\text{o}}{\mathop{\text{A}}}\,\]. The wavelength of \[{{H}_{\alpha }}\] line is:
  A)
  \[6561\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  B)
  \[5464\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  C)
  \[800\overset{\text{o}}{\mathop{\text{A}}}\,\]     
  done clear
  D)
  \[4840\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  View Answer play_arrow

• question_answer33) When silver is irradiated by ultraviolet light of \[1000\overset{\text{o}}{\mathop{\text{A}}}\,\], potential of \[7.7\,\,V\] is required to stop the photo electrons. The work function of silver will be:
  A)
  \[3.72\,\,eV\]                   
  done clear
  B)
  \[6.72\,\,eV\]
  done clear
  C)
  \[5.72\,\,eV\]                   
  done clear
  D)
  \[4.67\,\,eV\]
  done clear
  View Answer play_arrow

• question_answer34) Maximum kinetic energy \[{{E}_{k}}\] of a photoelectron varies with the frequency \[v\] of the incident radiation as:
  A)
  
  done clear
  B)
  
  done clear
  C)
   
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer35) A radioactive element has half-life period\[1600\,\,yr\]. After \[6400\,\,yr\], what part of element will remain?
  A)
  \[\frac{1}{4}\]                                   
  done clear
  B)
  \[\frac{1}{8}\]
  done clear
  C)
  \[\frac{1}{16}\]                                
  done clear
  D)
  \[\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer36) For a transistor \[{{I}_{E}}=25\,\,mA\] and \[{{I}_{B}}=1\,\,mA\], the value of current gain \[\alpha \] will be:
  A)
  \[\frac{25}{24}\]                                              
  done clear
  B)
  \[\frac{24}{25}\]
  done clear
  C)
  \[\frac{25}{26}\]                                              
  done clear
  D)
  \[\frac{26}{25}\]
  done clear
  View Answer play_arrow

• question_answer37) When two semiconductors of \[p\] and \[n\] type are brought into contact, they form a \[p-n\] junction which acts like a:
  A)
   rectifier                              
  done clear
  B)
   amplifier
  done clear
  C)
   oscillator            
  done clear
  D)
   conductor
  done clear
  View Answer play_arrow

• question_answer38) The de-Broglie wavelength of \[1\,\,kg\] mass moving with a velocity of \[10\,\,m/s\], will be:
  A)
  \[6.626\times {{10}^{-35}}m\]   
  done clear
  B)
  \[6.626\times {{10}^{-34}}m\]
  done clear
  C)
  \[6.626\times {{10}^{-33}}m\]   
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer39) Radioactive nuclei that are injected into a patient collected at certain sites within its body, undergoing radioactive decay and emitting electromagnetic radiation. These radiations can then be recorded by a detector. This procedure provides an important diagnostic tools called:
  A)
   gamma camera
  done clear
  B)
   CAT scan
  done clear
  C)
   radiotracer technique
  done clear
  D)
   gamma ray spectroscopy
  done clear
  View Answer play_arrow

• question_answer40) If \[R,\,\,\,C\] and \[L\] denote resistance, capacitance and inductance. Which of the following will not have the dimensions of frequency?
  A)
  \[R{{L}^{-1}}\]                                  
  done clear
  B)
  \[{{R}^{-1}}{{C}^{-1}}\]
  done clear
  C)
   \[{{L}^{-1/2}}{{C}^{-1/2}}\]                        
  done clear
  D)
   \[RCL\]
  done clear
  View Answer play_arrow

• question_answer41) A \[10\mu F\] capacitor is connected across a\[200\,\,V,\] \[50\,\,Hz\,\,AC\] supply. The peak current through the circuit is:
  A)
  \[0.6\sqrt{2}A\]                               
  done clear
  B)
  \[0.6\,\,A\]
  done clear
  C)
  \[\frac{0.6\pi }{2}A\]                     
  done clear
  D)
  \[\frac{0.6}{\sqrt{2}}A\]
  done clear
  View Answer play_arrow

• question_answer42) What is the energy stored in \[50\,\,mH\] inductor carrying a current of\[4\,\,A?\]
  A)
  \[0.2\,\,J\]                         
  done clear
  B)
  \[0.4\,\,J\]
  done clear
  C)
  \[0.05\,\,J\]                       
  done clear
  D)
  \[0.1\,\,J\]
  done clear
  View Answer play_arrow

• question_answer43) In an ammeter, \[4%\] of the main current is passing through galvanometer. If the galvanometer is shunted with a \[5\Omega \] resistance, the resistance of the galvanometer is:
  A)
  \[120\Omega \]                               
  done clear
  B)
  \[20\Omega \]
  done clear
  C)
  \[5\Omega \]                                    
  done clear
  D)
  \[4\Omega \]
  done clear
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• question_answer44) If \[100\,\,kWh\] of energy is consumed at \[33\,\,V\] in a copper voltameter, what is the mass of copper liberated? (Electrochemical equivalent of copper is\[0.33\times {{10}^{-6}}kg/C)\]
  A)
  \[1\,\,mg\]                        
  done clear
  B)
  \[3.6\,\,kg\]
  done clear
  C)
  \[3.3\,\,kg\]                      
  done clear
  D)
   \[1\,\,kg\]
  done clear
  View Answer play_arrow

• question_answer45) Four identical resistors when connected in series dissipate \[5\,\,W\] power. If they are connected in parallel, the power dissipated will be:
  A)
  \[80\,\,W\]                        
  done clear
  B)
  \[60\,\,W\]
  done clear
  C)
  \[40\,\,W\]                        
  done clear
  D)
  \[20\,\,W\]
  done clear
  View Answer play_arrow

• question_answer46) What is the magnitude of the point charge due to which the electric field 30 cm away has the magnitude of\[2N/C?\] \[\left( \frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}N{{m}^{2}}/{{C}^{2}} \right)\]
  A)
  \[4\times {{10}^{-11}}C\]                             
  done clear
  B)
  \[2\times {{10}^{-11}}C\]
  done clear
  C)
  \[5.4\times {{10}^{-11}}C\]                         
  done clear
  D)
  \[7.5\times {{10}^{-11}}C\]
  done clear
  View Answer play_arrow

• question_answer47) A parallel plate capacitor is immersed in an oil of dielectric constant 2. The field between the plates is:
  A)
   decreased, by a factor of\[\frac{1}{\sqrt{2}}\]
  done clear
  B)
   increased, by a factor of\[\sqrt{2}\]
  done clear
  C)
   increased, by a factor of\[\frac{1}{2}\]
  done clear
  D)
    decreased, by a factor of\[2\]
  done clear
  View Answer play_arrow

• question_answer48) A triode valve has an amplification factor of \[20\] and its plate is given a potential of \[300\,\,V\]. The grid voltage to reduce the plate current to zero is:
  A)
  \[25\,\,V\]                         
  done clear
  B)
  \[15\,\,V\]
  done clear
  C)
  \[12\,\,V\]                                         
  done clear
  D)
   \[10\,\,V\]
  done clear
  View Answer play_arrow

• question_answer49) In an ideal parallel \[LC\] circuit, the capacitor is charged by connecting it to a \[DC\,\] source which is then disconnected. The current in the circuit:
  A)
   becomes zero instantaneously
  done clear
  B)
   grows monotonically
  done clear
  C)
   decays monotonically
  done clear
  D)
    oscillates instantaneously
  done clear
  View Answer play_arrow

• question_answer50) For a satellite moving in an orbit around the earth, the ratio of kinetic to potential energy is:
  A)
  \[1:2\]                                  
  done clear
  B)
  \[2:1\]
  done clear
  C)
  \[1:1\]                                  
  done clear
  D)
  \[4:1\]
  done clear
  View Answer play_arrow

• question_answer51) Which of the following statements, about zero order reaction is not true?
  A)
   Its rate constant unit is\[{{s}^{-1}}\]
  done clear
  B)
   The graph between time and rate of reaction is a straight line
  done clear
  C)
   Rate of reaction is independent of concentration of reactants
  done clear
  D)
    None of the above
  done clear
  View Answer play_arrow

• question_answer52) The amount of \[{{H}_{2}}S\], required to precipitate \[1.69\,\,g\,\,BaS\] from \[BaC{{l}_{2}}\] solution is:
  A)
  \[3.4\,\,g\]                         
  done clear
  B)
  \[0.034\,\,g\]
  done clear
  C)
   \[0.34\,\,g\]                     
  done clear
  D)
   \[0.17\,\,g\]
  done clear
  View Answer play_arrow

• question_answer53) Which of the following is not a protein?
  A)
   Testosterone                   
  done clear
  B)
   Lipase
  done clear
  C)
    Keratin                              
  done clear
  D)
    Haemoglobin
  done clear
  View Answer play_arrow

• question_answer54) The reaction,\[C{{H}_{3}}COC{{H}_{3}}\xrightarrow[(ii)\,\,KOH,\,\,glycol]{(i)\,\,N{{H}_{2}}N{{H}_{2}}}C{{H}_{3}}C{{H}_{2}}C{{H}_{3}}\]is known as:
  A)
   Clemmensen's reduction
  done clear
  B)
   Blanc's reduction
  done clear
  C)
    Birch reduction
  done clear
  D)
    Wolff-Kishner reduction
  done clear
  View Answer play_arrow

• question_answer55) \[pH-\]scale was proposed by:
  A)
   Arrhenius
  done clear
  B)
   Sorenson
  done clear
  C)
   Pierre de Coubertin
  done clear
  D)
   none of the above
  done clear
  View Answer play_arrow

• question_answer56) Thomas slag is:
  A)
  \[C{{a}_{3}}{{(P{{O}_{4}})}_{2}}\cdot 2{{H}_{2}}O\]
  done clear
  B)
  \[C{{a}_{3}}{{(P{{O}_{4}})}_{2}}\cdot CaSi{{O}_{3}}\]
  done clear
  C)
  \[MgSi{{O}_{3}}\]
  done clear
  D)
   \[CaSi{{O}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer57) Mohr's salt is:
  A)
  \[N{{a}_{2}}S{{O}_{4}}\cdot A{{l}_{2}}{{(S{{O}_{4}})}_{3}}\cdot 24{{H}_{2}}O\]
  done clear
  B)
  \[CuS{{O}_{4}}\cdot A{{l}_{2}}{{(S{{O}_{4}})}_{3}}\cdot 24{{H}_{2}}O\]
  done clear
  C)
  \[FeS{{O}_{4}}\cdot {{(N{{H}_{4}})}_{2}}S{{O}_{4}}\cdot 6{{H}_{2}}O\]
  done clear
  D)
   \[{{K}_{2}}S{{O}_{4}}\cdot F{{e}_{2}}{{(S{{O}_{4}})}_{3}}\cdot 2{{H}_{2}}O\]
  done clear
  View Answer play_arrow

• question_answer58) Which of the following has maximum ionisation energy?
  A)
   Caesium                             
  done clear
  B)
   Fluorine
  done clear
  C)
    Xenon                                
  done clear
  D)
    Nitrogen
  done clear
  View Answer play_arrow

• question_answer59) Which of the following give ammonia, on heating with\[NaOH?\]
  A)
   Ethyl amine      
  done clear
  B)
   Ethane nitrile
  done clear
  C)
   Nitroethane    
  done clear
  D)
   Ethanamide
  done clear
  View Answer play_arrow

• question_answer60) Which of the following is poisonous?
  A)
   Methanol          
  done clear
  B)
   Ethanol
  done clear
  C)
   Glycerol                             
  done clear
  D)
    Castor oil
  done clear
  View Answer play_arrow

• question_answer61) Which of the following fraction of coal tar distillation is obtained at\[{{270}^{o}}-{{360}^{o}}C?\]
  A)
   Light oil                               
  done clear
  B)
   Middle oil
  done clear
  C)
    Green oil          
  done clear
  D)
    Heavy oil
  done clear
  View Answer play_arrow

• question_answer62) The amount of oxalic acid, required to prepare \[300\,\,mL\,\,2.5\,\,M\] solution, is:
  A)
  \[67.5\,\,g\]                      
  done clear
  B)
  \[9.45\,\,g\]
  done clear
  C)
  \[6.75\,\,g\]                      
  done clear
  D)
   \[94.5\,\,g\]
  done clear
  View Answer play_arrow

• question_answer63) The carbon di-oxide gas does not follow gaseous laws at all ranges of pressure and temperature because:
  A)
   it is triatomic gas
  done clear
  B)
   its internal energy is quite high
  done clear
  C)
   there is attraction between its, molecules
  done clear
  D)
    it solidify at low temperature
  done clear
  View Answer play_arrow

• question_answer64) The bond-angle in \[As{{H}_{3}}\] is greater than that in:
  A)
  \[N{{H}_{3}}\]                                  
  done clear
  B)
  \[{{H}_{2}}O\]
  done clear
  C)
  \[BC{{l}_{3}}\]                                  
  done clear
  D)
    none of these
  done clear
  View Answer play_arrow

• question_answer65) Which of the following gas, diffuse, most slowly?
  A)
  \[{{C}_{2}}{{H}_{6}}\]
  done clear
  B)
  \[{{C}_{2}}{{H}_{4}}\]
  done clear
  C)
  \[C{{H}_{4}}\]
  done clear
  D)
   All of these diffuse at equal rate
  done clear
  View Answer play_arrow

• question_answer66) Oxidation number of fluorine is \[+1\] in:
  A)
  \[{{F}_{2}}O\]                                   
  done clear
  B)
  \[N{{F}_{3}}\]
  done clear
  C)
   both [a] and [b]              
  done clear
  D)
    none of these
  done clear
  View Answer play_arrow

• question_answer67) Which radioisotope is used in the treatment of Leukeamia?
  A)
  \[P-32\]                               
  done clear
  B)
  \[Na-24\]
  done clear
  C)
   \[I-128\]                             
  done clear
  D)
   \[Co-59\]
  done clear
  View Answer play_arrow

• question_answer68) A metal having higher value of\[{{E}^{o}}\], can:
  A)
   replace hydrogen from dilute\[{{H}_{2}}S{{O}_{4}}\]
  done clear
  B)
   replace hydrogen from concentrate\[{{H}_{2}}S{{O}_{4}}\]
  done clear
  C)
   act as oxidising agent
  done clear
  D)
    all of the above
  done clear
  View Answer play_arrow

• question_answer69) The method, which is used to purify colloidal solution is:
  A)
   electrophoresis              
  done clear
  B)
   dialysis
  done clear
  C)
   chromatography            
  done clear
  D)
   peptisation
  done clear
  View Answer play_arrow

• question_answer70) Four gases ethane, ethene, ethyne and propene are passed into a wolf bottle containing ammoniacal \[AgN{{O}_{3}}\] solution. Which gas will come out of wolf bottle?
  A)
   Only ethyne
  done clear
  B)
   Ethane and ethyne
  done clear
  C)
   Ethane and ethane
  done clear
  D)
    Ethane, ethene and propene
  done clear
  View Answer play_arrow

• question_answer71) How many conformers are known of ethane?
  A)
   Two
  done clear
  B)
   Three
  done clear
  C)
  \[>3\]
  done clear
  D)
   Ethane cannot show conformation
  done clear
  View Answer play_arrow

• question_answer72) Interfering radicals interfere in the usual test of:
  A)
   acid radicals      
  done clear
  B)
   basic radicals
  done clear
  C)
   both [a] and [b]              
  done clear
  D)
    none of these
  done clear
  View Answer play_arrow

• question_answer73) Flux in the smelting process is added to:
  A)
   decrease the solubility of impurities
  done clear
  B)
   increase the fusion temperature of roasted ore
  done clear
  C)
   convert impurities into slag
  done clear
  D)
    all of the above
  done clear
  View Answer play_arrow

• question_answer74) The heat of formation of \[MgO,\,\,A{{l}_{2}}O\] and \[Si{{O}_{2}}\] are \[-692,\,\,\,-1676,\,\,\,-911,\,\,\,kJ\,\,mo{{l}^{-1}}\]. Most stable oxide is:
  A)
  \[MgO\]
  done clear
  B)
  \[A{{l}_{2}}{{O}_{3}}\]
  done clear
  C)
  \[Si{{O}_{2}}\]
  done clear
  D)
   cannot be predicted
  done clear
  View Answer play_arrow

• question_answer75) Which of the following reaction, will be favoured by low pressure?
  A)
  \[PC{{l}_{5}}PC{{l}_{3}}+C{{l}_{2}}\]
  done clear
  B)
  \[{{N}_{2}}+3{{H}_{2}}2N{{H}_{3}}\]
  done clear
  C)
  \[{{H}_{2}}+\frac{1}{2}{{O}_{2}}{{H}_{2}}O\]
  done clear
  D)
  \[2NO+{{O}_{2}}2N{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer76) In III group of basic radical analysis, \[N{{H}_{4}}Cl\] is added before group reagent \[N{{H}_{4}}OH\]. This is done to:
  A)
   increase the solubility product of \[III\] group salts
  done clear
  B)
   decrease the solubility product of \[III\] group salts
  done clear
  C)
   increase the ionic product of \[O{{H}^{-}}\] and \[III\] group radicals
  done clear
  D)
    decrease the degree of ionisation of group reagent
  done clear
  View Answer play_arrow

• question_answer77) Representative elements are:
  A)
  \[s-\]block elements     
  done clear
  B)
  \[p-\]block elements
  done clear
  C)
   both [a] and [b]              
  done clear
  D)
    none of these
  done clear
  View Answer play_arrow

• question_answer78) Which of the following equation is used in Pauling's scale of electronegativity?
  A)
  \[{{x}_{A}}=0.187(IE+EA)+0.17\]
  done clear
  B)
  \[{{x}_{A}}-{{x}_{B}}=0.182\] \[{{[{{E}_{A-B}}-\sqrt{({{E}_{A-A}}\times {{E}_{B-B}})}]}^{1/2}}\]
  done clear
  C)
  \[{{x}_{A}}=\frac{0.359\,\,{{Z}_{eff}}}{r_{A}^{2}}+0.744\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer79) Which hybridisation has sulphur in\[S{{O}_{2}}\]?
  A)
  \[s{{p}^{2}}\]                                    
  done clear
  B)
  \[s{{p}^{3}}{{d}^{2}}\]
  done clear
  C)
   \[s{{p}^{3}}\]                                   
  done clear
  D)
   \[sp\]
  done clear
  View Answer play_arrow

• question_answer80) The energy of last electron of Li will be:
  A)
  \[-30.6\,\,eV\]                 
  done clear
  B)
  \[-13.6\,\,eV\]
  done clear
  C)
  \[-24.6\,\,eV\]                 
  done clear
  D)
   \[-28.6\,\,eV\]
  done clear
  View Answer play_arrow

• question_answer81) Benzaldehyde, in presence of \[dil.\,\,NaOH,\]changes into benzyl alcohol and sodium benzoate. This reaction is an example of:
  A)
   rearrangement
  done clear
  B)
   oxidation
  done clear
  C)
    disproportionation
  done clear
  D)
    hone of the above
  done clear
  View Answer play_arrow

• question_answer82) Which of the following is the strongest acid?
  A)
   \[o-\]nitro benzoic acid
  done clear
  B)
   \[m-\]nitro benzoic acid
  done clear
  C)
   \[m-\]chloro benzoic acid
  done clear
  D)
    \[m-\]cyano benzoic acid
  done clear
  View Answer play_arrow

• question_answer83) What is the product \['X'\] in the reaction\[,\]\[C{{H}_{3}}COCl\xrightarrow{C{{H}_{3}}COONa}X\]?
  A)
   \[C{{H}_{3}}COOH\]
  done clear
  B)
   \[{{(C{{H}_{3}}CO)}_{2}}O\]
  done clear
  C)
    \[C{{H}_{3}}COC{{H}_{2}}COO{{C}_{2}}{{H}_{5}}\]
  done clear
  D)
    \[C{{H}_{3}}COC{{H}_{2}}COOH\]
  done clear
  View Answer play_arrow

• question_answer84) A \[0.5\,\,g/L\] solution of glucose is found to be isotonic with a \[2.5\,\,g/L\] solution of an organic compound. What will be the molecular weight of that organic compound?
  A)
  \[300\]                                 
  done clear
  B)
  \[600\]
  done clear
  C)
   \[925\]                                
  done clear
  D)
   \[1200\]
  done clear
  View Answer play_arrow

• question_answer85) Which of the following ion does not follow \[EAN\] rule?
  A)
  \[{{[Fe{{(CN)}_{6}}]}^{4-}}\]                      
  done clear
  B)
  \[{{[Ag{{(CN)}_{2}}]}^{-}}\]
  done clear
  C)
   \[{{[PtC{{l}_{6}}]}^{2-}}\]                            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer86) Potassium, on burning in oxygen atmosphere gives:
  A)
  \[{{K}_{2}}O\]                                   
  done clear
  B)
  \[{{K}_{2}}{{O}_{3}}\]
  done clear
  C)
   \[K{{O}_{2}}\]                                  
  done clear
  D)
   \[{{K}_{2}}{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer87) Which method is employed to prepare copper sol?
  A)
   Peptisation
  done clear
  B)
   Bredig's arc method
  done clear
  C)
    Double decomposition
  done clear
  D)
    Reduction of\[CuC{{l}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer88) How much copper will be deposited at cathode on passing 4 coulomb charge in \[15\min ?\]
  A)
  \[0.0195\,\,g\]                  
  done clear
  B)
  \[0.0013\,\,g\]
  done clear
  C)
   \[0.020\,\,g\]                   
  done clear
  D)
  \[0.0020\,\,g\]
  done clear
  View Answer play_arrow

• question_answer89) If \[50%\] of a radioactive substance dissociates in \[15\min \], then the time taken by substance to dissociate \[99%\] will be:
  A)
  \[50\,\,\min \]                  
  done clear
  B)
  \[100\,\,\min \]
  done clear
  C)
  \[99\,\,\min \]                  
  done clear
  D)
   \[150\,\,\min \]
  done clear
  View Answer play_arrow

• question_answer90) Which of the following alcohol give positive iodo form test?
  A)
   Methanol          
  done clear
  B)
   Ethyl carbinol
  done clear
  C)
    Pentanol\[-3\]               
  done clear
  D)
    Methyl carbinol
  done clear
  View Answer play_arrow

• question_answer91) Human body is an example of:
  A)
   open system   
  done clear
  B)
   closed system
  done clear
  C)
    isolated system             
  done clear
  D)
    none of these
  done clear
  View Answer play_arrow

• question_answer92) The atomic size of cerium and promethium is quite close, due to:
  A)
   they are in same period in periodic table
  done clear
  B)
   their electronic configuration is same
  done clear
  C)
    \[f-\]electrons have poor shielding effect
  done clear
  D)
    nuclear charge is higher on cerium than promethium
  done clear
  View Answer play_arrow

• question_answer93) Brown glass and cement have, which element common in them?
  A)
  \[Fe\]                                   
  done clear
  B)
  \[Al\]
  done clear
  C)
  \[Na\]                                  
  done clear
  D)
    All of these
  done clear
  View Answer play_arrow

• question_answer94) The most common isomerism found in ethers, is:
  A)
   chain isomerism             
  done clear
  B)
   tautomerism
  done clear
  C)
   metamerism   
  done clear
  D)
    optical isomerism
  done clear
  View Answer play_arrow

• question_answer95) \[t-\]butyl chloride preferably undergo hydrolysis by:
  A)
   \[{{S}_{N}}1\] mechanism
  done clear
  B)
   \[{{S}_{N}}2\] mechanism
  done clear
  C)
    any of [b] and [b]
  done clear
  D)
    none of the above
  done clear
  View Answer play_arrow

• question_answer96) Which of the following has lowest boiling point?
  A)
  \[NaCl\]                              
  done clear
  B)
  \[CuCl\]
  done clear
  C)
   \[CuC{{l}_{2}}\]                               
  done clear
  D)
   \[CsCl\]
  done clear
  View Answer play_arrow

• question_answer97) Which of the following is true for the reaction\[CO(g)+\frac{1}{2}{{O}_{2}}(g)C{{O}_{2}}(g)\]
  A)
  \[{{K}_{p}}>{{K}_{c}}\]                  
  done clear
  B)
  \[{{K}_{p}}<{{K}_{c}}\]
  done clear
  C)
  \[{{K}_{p}}={{K}_{c}}\]                  
  done clear
  D)
   \[{{K}_{p}}\ge {{K}_{c}}\]
  done clear
  View Answer play_arrow

• question_answer98) Which of the following is not a buffer solution?
  A)
  \[C{{H}_{3}}COOH+C{{H}_{3}}COONa\]
  done clear
  B)
  \[{{H}_{3}}B{{O}_{3}}+N{{a}_{3}}B{{O}_{3}}\]
  done clear
  C)
  \[HCl{{O}_{4}}+NaCl{{O}_{4}}\]
  done clear
  D)
   \[N{{H}_{4}}OH+{{(N{{H}_{4}})}_{2}}S{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer99) Which of the following ore is concentrated by both, magnetic and gravimetric separation?
  A)
   Dolomite           
  done clear
  B)
   Tin stone
  done clear
  C)
   Galena                                
  done clear
  D)
    Bauxite
  done clear
  View Answer play_arrow

• question_answer100) Which of the following is not a polymer?
  A)
   RNA                                     
  done clear
  B)
   Oxytocin
  done clear
  C)
    Cholesterol      
  done clear
  D)
    Amylose
  done clear
  View Answer play_arrow

• question_answer101) The minimum value of \[{{x}^{2}}+\frac{1}{1+{{x}^{2}}}\] is at:
  A)
  \[x=0\]                
  done clear
  B)
  \[x=4\]
  done clear
  C)
  \[x=1\]                                
  done clear
  D)
  \[x=3\]
  done clear
  View Answer play_arrow

• question_answer102) If \[\overrightarrow{\mathbf{a}},\,\,\overrightarrow{\mathbf{b}},\,\,\overrightarrow{\mathbf{c}}\]are the non-coplanar vectors, then the value of\[\frac{\overset{\to }{\mathop{\mathbf{a}}}\,\cdot (\overset{\to }{\mathop{\mathbf{b}}}\,\times \overset{\to }{\mathop{\mathbf{c}}}\,)}{(\overset{\to }{\mathop{\mathbf{c}}}\,\times \overset{\to }{\mathop{\mathbf{a}}}\,)\cdot \overset{\to }{\mathop{\mathbf{b}}}\,}+\frac{\overset{\to }{\mathop{\mathbf{b}}}\,(\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{c}}}\,)}{\overset{\to }{\mathop{\mathbf{c}}}\,\cdot (\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{b}}}\,)}\]is:
  A)
  \[1\]     
  done clear
  B)
  \[2\]
  done clear
  C)
  \[0\]                                     
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer103) If\[x-2y=4\], the minimum value of\[xy\]is:
  A)
  \[-2\]                                    
  done clear
  B)
  \[0\]
  done clear
  C)
  \[0\]                                     
  done clear
  D)
  \[-3\]
  done clear
  View Answer play_arrow

• question_answer104) If\[z=x+iy\]and\[\left| \frac{1-iz}{z-i} \right|=1\], the locus of\[z\]is:
  A)
   \[x-\]axis
  done clear
  B)
   \[y-\]axis
  done clear
  C)
   circle with unity radius
  done clear
  D)
   none of the above
  done clear
  View Answer play_arrow

• question_answer105) The vertex of an equilateral triangle is \[(2,\,\,-1)\] and the equation of its base is \[x+2y=1\], the length of its sides is:
  A)
  \[2/\sqrt{15}\]                 
  done clear
  B)
  \[4/3\sqrt{3}\]
  done clear
  C)
  \[1/\sqrt{5}\]                    
  done clear
  D)
  \[4/\sqrt{15}\]
  done clear
  View Answer play_arrow

• question_answer106) The resultant of two forces \[P\] and \[Q\] is \[R\]. If the direction of \[P\] is reversed keeping the direction \[Q\] same, the resultant remains unaltered. The angle between \[P\] and \[Q\] is:
  A)
  \[{{90}^{o}}\]                                    
  done clear
  B)
  \[{{60}^{o}}\]
  done clear
  C)
  \[{{45}^{o}}\]                                    
  done clear
  D)
  \[{{30}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer107) The distance \[s\] (in cm) travelled by a particle in\[t\] seconds is given by\[,\] \[s={{t}^{3}}+2{{t}^{2}}+t\]. The speed of the particle after \[1\,\,s\] will be:
  A)
  \[2\,\,cm/s\]                     
  done clear
  B)
  \[8\,\,cm/s\]
  done clear
  C)
  \[6\,\,cm/s\]                     
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer108) The roots of\[|x-2{{|}^{2}}+|x-2|-6=0\]are:
  A)
  \[4,\,\,2\]                                           
  done clear
  B)
  \[0,\,\,4\]
  done clear
  C)
  \[-1,\,\,3\]                         
  done clear
  D)
  \[5,\,\,1\]
  done clear
  View Answer play_arrow

• question_answer109) The height of a tower is\[7848\,\,cm\]. A particle is thrown from the top of the tower with the horizontal velocity of \[1784\,\,cm/s\]. The time taken by the particle to reach the ground is (g \[=981\,\,cm/{{s}^{2}})\]:
  A)
  \[\sqrt{8}\,\,s\]               
  done clear
  B)
  \[2\,\,s\]
  done clear
  C)
  \[4\,\,s\]                                             
  done clear
  D)
  \[8\,\,s\]
  done clear
  View Answer play_arrow

• question_answer110) The directrix of the hyperbola\[\frac{{{x}^{2}}}{9}-\frac{{{y}^{2}}}{4}=1\]is:
  A)
  \[y=6/\sqrt{13}\]                            
  done clear
  B)
  \[x=6/\sqrt{13}\]
  done clear
  C)
  \[y=9/\sqrt{13}\]                            
  done clear
  D)
  \[x=\pm 9/\sqrt{13}\]
  done clear
  View Answer play_arrow

• question_answer111) The value of\[{{\cos }^{-1}}\left( \cos \frac{5\pi }{3} \right)+{{\sin }^{-1}}\left( \cos \frac{5\pi }{3} \right)\]is:
  A)
  \[10\pi /3\]                        
  done clear
  B)
  \[0\]
  done clear
  C)
  \[\pi /2\]                                             
  done clear
  D)
  \[5\pi /3\]
  done clear
  View Answer play_arrow

• question_answer112) If\[f(x)=\log \left( \frac{1+x}{1-x} \right)\], then\[f\left( \frac{2x}{1+{{x}^{2}}} \right)\]will be equal to:
  A)
  \[2f({{x}^{2}})\]                               
  done clear
  B)
  \[f({{x}^{2}})\]
  done clear
  C)
  \[2f(2x)\]                            
  done clear
  D)
  \[2f(x)\]
  done clear
  View Answer play_arrow

• question_answer113) If\[{{(1+x-2{{x}^{2}})}^{6}}=1+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...+{{a}_{12}}{{x}^{12}}\] then the value of\[{{a}_{2}}+{{a}_{4}}+...+{{a}_{12}}\]is:
  A)
  \[31\]                                   
  done clear
  B)
  \[32\]
  done clear
  C)
  \[64\]                                   
  done clear
  D)
  \[1024\]
  done clear
  View Answer play_arrow

• question_answer114) \[2{{x}^{3}}-6x+5\]is an increasing function, if:
  A)
  \[0<x<1\]                           
  done clear
  B)
  \[-1<x<1\]
  done clear
  C)
   \[x<-1\]or\[x>1\]           
  done clear
  D)
  \[-1<x<-\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer115) Two trains are \[2\,\,km\] apart their lengths are \[200\,\,m\] and \[300\,\,m\]. They are approaching towards each other with speed of \[20\,\,m/s\] and \[30\,\,m/s\] respectively. After how much time will they cross each other?
  A)
  \[150\,\,s\]                        
  done clear
  B)
  \[100\,\,s\]
  done clear
  C)
  \[50\,\,s\]                                          
  done clear
  D)
  \[\frac{25}{3}s\]
  done clear
  View Answer play_arrow

• question_answer116) \[\frac{{{d}^{3}}y}{d{{x}^{3}}}+\left[ 1+\frac{{{d}^{2}}y}{d{{x}^{2}}} \right]=1\], has degree and order as:
  A)
  \[3,\,\,1\]                                           
  done clear
  B)
  \[3,\,\,2\]
  done clear
  C)
  \[1,\,\,3\]                                           
  done clear
  D)
  \[2,\,\,3\]
  done clear
  View Answer play_arrow

• question_answer117) The value of\[I=\int_{0}^{1}{x\left| x-\frac{1}{2} \right|\,}dx\]is:
  A)
  \[\frac{1}{4}\]                                   
  done clear
  B)
  \[\frac{1}{2}\]
  done clear
  C)
  \[\frac{1}{8}\]                                   
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer118) If\[A=\left[ \begin{matrix}    4 & 2  \\    3 & 4  \\ \end{matrix} \right]\],\[|adj\,\,A|\]is equal to:
  A)
  \[6\]                                     
  done clear
  B)
  \[16\]
  done clear
  C)
  \[10\]                                   
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer119) \[\overset{\to }{\mathop{\mathbf{a}}}\,\cdot (\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,)\times (\overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,)\]is equal to:
  A)
  \[[\overset{\to }{\mathop{\mathbf{a}}}\,\overset{\to }{\mathop{\mathbf{b}}}\,\overset{\to }{\mathop{\mathbf{c}}}\,]\]                      
  done clear
  B)
  \[3[\overset{\to }{\mathop{\mathbf{a}}}\,\overset{\to }{\mathop{\mathbf{b}}}\,\overset{\to }{\mathop{\mathbf{c}}}\,]\]
  done clear
  C)
  \[0\]                                     
  done clear
  D)
  \[2[\overset{\to }{\mathop{\mathbf{a}}}\,\overset{\to }{\mathop{\mathbf{b}}}\,\overset{\to }{\mathop{\mathbf{c}}}\,]\]
  done clear
  View Answer play_arrow

• question_answer120) A block weighing \[w\], is supported on an inclined surface with the help of a horizontal force \[P\]. The same block can be supported with the help of another force \[Q\] acting parallel to the inclined surface, then \[\frac{1}{{{p}^{2}}}+\frac{1}{{{w}^{2}}}\] is equal to:
  A)
  \[w\sin \alpha \]                             
  done clear
  B)
  \[1\]
  done clear
  C)
  \[1/Q\]                                
  done clear
  D)
  \[1/{{Q}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer121) \[\int_{0}^{2}{|x-1}|dx\]is equal to:
  A)
  \[0\]                                     
  done clear
  B)
  \[1/2\]
  done clear
  C)
  \[1\]                                     
  done clear
  D)
  \[2\]
  done clear
  View Answer play_arrow

• question_answer122) Two cards are drawn one by one from a pack of cards. The probability of getting first card an ace and second a coloured one is (before drawing second card first card is not placed again in the pack):
  A)
  \[4/13\]                               
  done clear
  B)
  \[1/26\]
  done clear
  C)
  \[5/52\]                               
  done clear
  D)
  \[5/221\]
  done clear
  View Answer play_arrow

• question_answer123) A particle is displaced from the point\[A(5,\,\,-5,\,\,-7)\]to the point\[B(6,\,\,2,\,\,-2)\]under the influence of the forces\[{{P}_{1}}=10\widehat{\mathbf{i}}-\widehat{\mathbf{j}}+11\widehat{\mathbf{k}}\],\[{{P}_{2}}=4\widehat{\mathbf{i}}+5\widehat{\mathbf{j}}+6\widehat{\mathbf{k}}\]\[{{P}_{3}}=-2\widehat{\mathbf{i}}+\widehat{\mathbf{j}}-9\widehat{\mathbf{k}}\], the work done is:
  A)
  \[87\,\,unit\]                    
  done clear
  B)
  \[85\,\,unit\]
  done clear
  C)
  \[81\,\,unit\]                    
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer124) If\[\sin x+\cos x=\frac{1}{5}\], then\[\tan 2x\]is:
  A)
  \[\frac{25}{17}\]                                              
  done clear
  B)
  \[\frac{24}{7}\]
  done clear
  C)
  \[\frac{7}{25}\]                                
  done clear
  D)
  \[\frac{25}{7}\]
  done clear
  View Answer play_arrow

• question_answer125) In \[\text{a}\] \[\Delta ABC,\,\,\angle B=\pi /3\]and\[\angle C=\pi /4\]. If\[D\]divides \[BC\] internally in ratio \[1:3\], then\[\frac{\sin \angle BAD}{\sin \angle CAD}\]is equal to:
  A)
  \[1/\sqrt{3}\]                    
  done clear
  B)
  \[1/\sqrt{6}\]
  done clear
  C)
  \[\sqrt{2/3}\]                    
  done clear
  D)
  \[1/3\]
  done clear
  View Answer play_arrow

• question_answer126) If\[|\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{b}}}\,|=|\overset{\to }{\mathop{\mathbf{a}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,|\] then the angle between\[\overset{\to }{\mathop{\mathbf{a}}}\,\]and\[\overset{\to }{\mathop{\mathbf{b}}}\,\]is:
  A)
  \[\pi \]                                 
  done clear
  B)
  \[\frac{2\pi }{3}\]
  done clear
  C)
  \[\frac{\pi }{4}\]                                              
  done clear
  D)
  \[\frac{\pi }{2}\]
  done clear
  View Answer play_arrow

• question_answer127) Let \[A,\,\,B\] and \[C\] are the angles of a plain triangle and\[\tan \left( \frac{A}{2} \right)=\frac{1}{3},\,\,\tan \left( \frac{B}{2} \right)=\frac{2}{3}\]. Then\[\tan \left( \frac{C}{2} \right)\] is equal to:
  A)
  \[1/3\]                                 
  done clear
  B)
  \[2/3\]
  done clear
  C)
  \[2/9\]                                 
  done clear
  D)
  \[7/9\]
  done clear
  View Answer play_arrow

• question_answer128) The value\[\underset{x\to 1}{\mathop{\lim }}\,(1-x)\tan \left( \frac{\pi }{2}x \right)\]:
  A)
  \[3\pi /4\]                          
  done clear
  B)
  \[2\pi /3\]
  done clear
  C)
  \[2/\pi \]                                             
  done clear
  D)
  \[\pi /4\]
  done clear
  View Answer play_arrow

• question_answer129) If\[f(x)={{\left( \frac{1}{x} \right)}^{x}}\], then the maximum value of\[f(x)\]is:
  A)
  \[e\]                                     
  done clear
  B)
  \[{{(e)}^{1/e}}\]
  done clear
  C)
  \[{{\left( \frac{1}{e} \right)}^{e}}\]                                         
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer130) The volume of the solid formed by rotating, the area enclosed between the curve \[y={{x}^{2}}\] and the line \[y=1\] about \[y=1\] is (in cubic unit):
  A)
  \[9\pi /5\]                          
  done clear
  B)
  \[2\pi /5\]
  done clear
  C)
  \[8\pi /3\]                          
  done clear
  D)
  \[7\pi /5\]
  done clear
  View Answer play_arrow

• question_answer131) \[\int_{8}^{15}{\frac{dx}{(x-3)\sqrt{x+1}}}\]is equal to:
  A)
  \[\frac{1}{2}\log \frac{5}{3}\]                     
  done clear
  B)
  \[\frac{1}{3}\log \frac{5}{3}\]
  done clear
  C)
  \[\frac{1}{5}\log \frac{3}{5}\]                     
  done clear
  D)
  \[\frac{1}{2}\log \frac{3}{5}\]
  done clear
  View Answer play_arrow

• question_answer132) Area of the square formed by\[|x|+|y|\,\,=1\]is:
  A)
  \[0\,\,sq\,\,unit\]                           
  done clear
  B)
  \[1\,\,sq\,\,unit\]
  done clear
  C)
  \[2\,\,sq\,\,unit\]                           
  done clear
  D)
  \[4\,\,sq\,\,unit\]
  done clear
  View Answer play_arrow

• question_answer133) If\[x=3+i\], then\[{{x}^{3}}-3{{x}^{2}}-8x+15\]is equal to:
  A)
  \[45\]                                   
  done clear
  B)
  \[-15\]
  done clear
  C)
  \[10\]                                   
  done clear
  D)
   \[6\]
  done clear
  View Answer play_arrow

• question_answer134) The function\[f(x)=\log (x+\sqrt{{{x}^{2}}+1})\]is:
  A)
   even function
  done clear
  B)
   odd function
  done clear
  C)
   neither even nor odd
  done clear
  D)
   periodic function
  done clear
  View Answer play_arrow

• question_answer135) The locus of the intersection point of\[x\cos \alpha +y\sin \alpha =a\]and\[x\sin \alpha -y\cos \alpha =b\]is:
  A)
   parabola            
  done clear
  B)
   ellipse
  done clear
  C)
   hyperbola         
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer136) If\[|\overset{\to }{\mathop{\mathbf{a}}}\,|\,\,=\,\,|\overset{\to }{\mathop{\mathbf{b}}}\,|\,\,=\,\,|\overset{\to }{\mathop{\mathbf{c}}}\,|\,\,=1\]and\[\overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,=0\], then the value of\[\overset{\to }{\mathop{\mathbf{a}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,\cdot \overset{\to }{\mathop{\mathbf{c}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,\cdot \overset{\to }{\mathop{\mathbf{a}}}\,\]is:
  A)
  \[0\]                                     
  done clear
  B)
  \[-1\]
  done clear
  C)
  \[-\frac{3}{2}\]                                 
  done clear
  D)
  \[3\]
  done clear
  View Answer play_arrow

• question_answer137) If\[x={{\log }_{b,}}a,\,\,y={{\log }_{c}}b,\,\,z={{\log }_{a}}c\], then\[xyz\]is:
  A)
  \[0\]                                     
  done clear
  B)
  \[1\]
  done clear
  C)
  \[3\]                                     
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer138) The value of the determinant\[\left| \begin{matrix}    1 & \cos (\alpha -\beta ) & \cos \alpha   \\    \cos (\alpha -\beta ) & 1 & \cos \beta   \\    \cos \alpha  & \cos \beta  & 1  \\ \end{matrix} \right|\]is
  A)
  \[0\]                                     
  done clear
  B)
  \[1\]
  done clear
  C)
  \[{{\alpha }^{2}}-{{\beta }^{2}}\]                              
  done clear
  D)
  \[{{\alpha }^{2}}+{{\beta }^{2}}\]
  done clear
  View Answer play_arrow

• question_answer139) If \[P(A)=P(B)=x\] and\[P(A\cap B)=P(A'\cap B')=\frac{1}{3}\], then \[x\] is equal to:
  A)
  \[1/2\]                                 
  done clear
  B)
  \[1/4\]
  done clear
  C)
  \[1/3\]                                 
  done clear
  D)
  \[1/6\]
  done clear
  View Answer play_arrow

• question_answer140) If \[p\] and \[q\] are the roots of the equation\[{{x}^{2}}+px+q=0\], thus:
  A)
   \[p=1\]or\[0\]                 
  done clear
  B)
  \[p=-2\]or\[0\]
  done clear
  C)
   \[p=-2\]                             
  done clear
  D)
   \[p=1\]
  done clear
  View Answer play_arrow

• question_answer141) If a dice is thrown twice, the probability of occurrence of \[4\] atleast once, is:
  A)
  \[11/36\]                            
  done clear
  B)
  \[35/36\]
  done clear
  C)
  \[7/12\]                               
  done clear
  D)
   none of these
  done clear
  View Answer play_arrow

• question_answer142) The value of \[\int_{0}^{8}{|x-5|}\,\,dx\]is:
  A)
  \[9\]                                     
  done clear
  B)
  \[12\]
  done clear
  C)
  \[17\]                                   
  done clear
  D)
  \[18\]
  done clear
  View Answer play_arrow

• question_answer143) The value of\[\int_{0}^{\pi }{|{{\sin }^{3}}\theta |d\theta }\]is:
  A)
  \[0\]                                     
  done clear
  B)
  \[\pi \]
  done clear
  C)
  \[4/3\]                                 
  done clear
  D)
  \[3/8\]
  done clear
  View Answer play_arrow

• question_answer144) A ball weighing \[2\,\,kg\]and speed\[6\,\,m/s\]collides with another ball of \[4\,\,kg\] moving in opposite direction with speed of \[3\,\,m/s\]. They combine after the collision. The speed of this combined mass in \[m/s\] is:
  A)
  \[4\]                                     
  done clear
  B)
  \[2\]
  done clear
  C)
  \[0\]                                     
  done clear
  D)
  \[3\]
  done clear
  View Answer play_arrow

• question_answer145) If\[\alpha ,\,\,\beta ,\,\,\gamma \]are the roots of the equation\[{{x}^{3}}+4x+1=0\]then\[{{(\alpha +\beta )}^{-1}}+{{(\beta +\gamma )}^{-1}}+{{(\gamma +\alpha )}^{-1}}\]is equal to:
  A)
  \[2\]                                     
  done clear
  B)
  \[3\]
  done clear
  C)
  \[4\]                                     
  done clear
  D)
  \[5\]
  done clear
  View Answer play_arrow

• question_answer146) If\[\cos \theta +\cos 2\theta +\cos 3\theta =0\], the general value of\[\theta \]is:
  A)
  \[\theta =2m\pi \pm \pi /4\]
  done clear
  B)
  \[\theta =m\pi +{{(-1)}^{n}}2\pi /3\]
  done clear
  C)
  \[\theta =m\pi +{{(-1)}^{n}}\pi /3\]
  done clear
  D)
  \[\theta =2m\pi \pm 2\pi /3\]
  done clear
  View Answer play_arrow

• question_answer147) Forces \[P\] and \[Q\] acting at a point \[O\] make an angle \[{{150}^{o}}\] between them. Their resultant acts at \[O\], has magnitude \[2\] unit and is perpendicular to \[P\]. Then in the same unit, the magnitudes of \[P\] and \[Q\] are:
  A)
  \[2\sqrt{3},\,\,4\]                           
  done clear
  B)
  \[\sqrt{\frac{3}{2}},\,\,2\]
  done clear
  C)
  \[3,\,\,4\]                                           
  done clear
  D)
  \[4,\,\,5\]
  done clear
  View Answer play_arrow

• question_answer148) A person observes the angle of depression of a building as \[{{30}^{o}}\]. The person proceeds towards the building with a speed of \[25(\sqrt{3}-1)m/h\]. After two hours, he observes the angle of elevation as \[{{45}^{o}}\]. The height of the building (in \[m)\] is:
  A)
  \[50(\sqrt{3}-1)\]                            
  done clear
  B)
  \[50(\sqrt{3}+1)\]
  done clear
  C)
  \[50\]                                   
  done clear
  D)
  \[100\]
  done clear
  View Answer play_arrow

• question_answer149) The value of\[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x+3}{x+1} \right)}^{x+2}}\]is:
  A)
  \[0\]                                     
  done clear
  B)
  \[1\]
  done clear
  C)
  \[{{e}^{2}}\]                                      
  done clear
  D)
  \[{{e}^{4}}\]
  done clear
  View Answer play_arrow

• question_answer150) If\[A+B+C={{270}^{o}}\], then \[\cos 2A+\cos 2B\]\[+\cos 2C+4\sin A\sin B\sin C\]is equal to:
  A)
  \[0\]                                     
  done clear
  B)
  \[1\]
  done clear
  C)
  \[2\]                                     
  done clear
  D)
  \[3\]
  done clear
  View Answer play_arrow