Solved papers for CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2007

done CET - Karnataka Engineering Solved Paper-2007 Total Questions - 180

• question_answer1) All components of the electromagnetic spectrum in vacuum have the same
  A)
   energy                
  done clear
  B)
   velocity
  done clear
  C)
   wavelength                      
  done clear
  D)
   frequency
  done clear
  View Answer play_arrow

• question_answer2) Which one of the following graph represents the variation of maximum kinetic energy \[({{E}_{k}})\] of the emitted electrons with frequency v in photoelectric effect correctly?
  A)
    
  done clear
  B)
    
  done clear
  C)
    
  done clear
  D)
    
  done clear
  View Answer play_arrow

• question_answer3) A and B are two metals with threshold frequencies \[1.8\times {{10}^{14}}Hz\] and \[2.2\times {{10}^{14}}Hz.\]Two identical photons of energy 0.825 eV each are incident on them. Then photoelectrons are emitted by (Take\[h=6.6\times {{10}^{-34}}J-s\])
  A)
   B alone                               
  done clear
  B)
   A alone
  done clear
  C)
   neither A nor B
  done clear
  D)
   both A and B
  done clear
  View Answer play_arrow

• question_answer4) The ionization energy of \[L{{i}^{2+}}\] is equal to
  A)
   \[9hcR\]                             
  done clear
  B)
   \[6hcR\]
  done clear
  C)
   \[2hcR\]                             
  done clear
  D)
   \[hcR\]
  done clear
  View Answer play_arrow

• question_answer5) In the Wheatstone's network given, \[P=10\Omega \], \[Q=20\,\Omega ,\,\,R=15\,\Omega ,\,\,S=30\,\Omega \] the current passing through the battery (of negligible internal resistance) is
  A)
   0.36 A                                  
  done clear
  B)
   zero
  done clear
  C)
   0.18 A                                  
  done clear
  D)
   0.72 A
  done clear
  View Answer play_arrow

• question_answer6) Electrons in a certain energy level \[n={{n}_{1}}\], can emit 3 spectral lines. When they are in another energy level, \[n={{n}_{2}}\], they can emit 6 spectral lines. The orbital speed of the electrons in the orbits are in the ratio
  A)
   \[4:3\]                                 
  done clear
  B)
   \[3:4\]
  done clear
  C)
   \[2:1\]                                 
  done clear
  D)
   \[1:2\]
  done clear
  View Answer play_arrow

• question_answer7) A circular coil carrying a certain current produces a magnetic field \[{{B}_{0}}\] at its centre. The coil is now rewound so as to have 3 turns and the same current is passed through it. The new magnetic field at the centre is
  A)
   \[\frac{{{B}_{0}}}{9}\]                                  
  done clear
  B)
   \[9\,{{B}_{0}}\]
  done clear
  C)
   \[\frac{{{B}_{0}}}{3}\]                                  
  done clear
  D)
   \[3\,{{B}_{0}}\]
  done clear
  View Answer play_arrow

• question_answer8) A proton and a deuteron with the same initial kinetic energy enter a magnetic field in a direction perpendicular to the direction of the field. The ratio of the radii of the circular trajectories described by them is
  A)
   \[1:4\]                                 
  done clear
  B)
   \[1:\sqrt{2}\]
  done clear
  C)
   \[1:1\]                                 
  done clear
  D)
   \[1:2\]
  done clear
  View Answer play_arrow

• question_answer9) Two tangent galvanometers A and B have coils of radii 8 cm and 16 cm respectively and resistance \[8\Omega \] each. They are connected in parallel with a cell of emf 4 V and negligible internal resistance. The deflections produced in the tangent galvanometers A and B are \[{{30}^{o}}\]and \[{{60}^{o}}\] respectively. If A has 2 turns, then B must have
  A)
   18 turns                              
  done clear
  B)
   12 turns
  done clear
  C)
   6 turns                                
  done clear
  D)
   2 turns
  done clear
  View Answer play_arrow

• question_answer10) A charged particle is moving in a magnetic field of strength B perpendicular to the direction of the field. If q and m denote the charge and mass of the particle respectively, then the frequency of rotation of the particle is
  A)
   \[f=\frac{qB}{2\,\pi m}\]                            
  done clear
  B)
   \[f=\frac{qB}{2\,\pi {{m}^{2}}}\]
  done clear
  C)
   \[f=\frac{2\,{{\pi }^{2}}m}{qB}\]                             
  done clear
  D)
   \[f=\frac{2\,\pi \,m}{qB}\]
  done clear
  View Answer play_arrow

• question_answer11) Two identical capacitors each of capacitance \[5\mu F\] are charged to potentials 2 kV and 1 kV respectively. Their -ve ends are connected together. When the +ve ends are also connected together, the loss of energy of the system is
  A)
   160 J                                    
  done clear
  B)
   zero
  done clear
  C)
   5 J                                         
  done clear
  D)
   1.25 J
  done clear
  View Answer play_arrow

• question_answer12) A parallel plate capacitor with air as the dielectric has capacitance C. A slab of dielectric constant K and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
  A)
   \[\left( K+3 \right)\frac{C}{4}\]                                
  done clear
  B)
   \[\left( K+2 \right)\frac{C}{4}\]
  done clear
  C)
   \[\left( K+1 \right)\frac{C}{4}\]                                
  done clear
  D)
   \[\frac{KC}{4}\]
  done clear
  View Answer play_arrow

• question_answer13) A current of 5 A is passing through a metallic wire of cross-sectional area \[4\times {{10}^{-6}}{{m}^{2}}\]. If the density of charge carriers of the wire is\[5\times {{10}^{26}}{{m}^{-3}}\], the drift velocity of the electrons will be
  A)
   \[1\times {{10}^{2}}m{{s}^{-1}}\]                            
  done clear
  B)
   \[1.56\times {{10}^{-2}}m{{s}^{-1}}\]
  done clear
  C)
   \[1.56\times {{10}^{-3}}m{{s}^{-1}}\]    
  done clear
  D)
   \[1\times {{10}^{-2}}m{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer14) Two bulbs rated 25 W-220 V and 100 W-220 V are connected in series to a 440 V supply. The,
  A)
   100 W bulb fuses
  done clear
  B)
   25 W bulb fuses
  done clear
  C)
   both the bulbs fuse
  done clear
  D)
   neither of the bulb fuses
  done clear
  View Answer play_arrow

• question_answer15) The current passing through the ideal ammeter in the circuit given below is
  A)
   1.25 A                                  
  done clear
  B)
   1 A
  done clear
  C)
   0.75 A                                  
  done clear
  D)
   0.5 A
  done clear
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• question_answer16) A and D are two infinitely long straight parallel conductors. C is another straight conductor of length 1m kept parallel to A and B as shown in the figure. Then the force experienced by C is
  A)
   towards A equal to \[0.6\times {{10}^{-5}}N\]
  done clear
  B)
   towards B equal to \[5.4\times {{10}^{-5}}N\]
  done clear
  C)
   towards A equal to \[5.4\times {{10}^{-5}}N\]
  done clear
  D)
                   towards B equal to \[0.6\times {{10}^{-5}}N\]
  done clear
  View Answer play_arrow

• question_answer17) An electric bulb has a rated power of 50 W s: 100 V. If it is used on an AC source 200 V 50 Hz, a choke has to be used in series with is This choke should have an inductance of
  A)
   0.1 mH
  done clear
  B)
   1 mH
  done clear
  C)
   0.1 H                    
  done clear
  D)
   1.1 H
  done clear
  View Answer play_arrow

• question_answer18) An inductance of \[\left( \frac{200}{\pi } \right)\,mH\], a capacitance of \[\left( \frac{{{10}^{-3}}}{\pi } \right)F\]and a resistance of \[10\,\Omega \] are connected in series with an AC source 220 V, 50 Hz. The phase angle of the circuit is
  A)
   \[\frac{\pi }{6}\]                                             
  done clear
  B)
   \[\frac{\pi }{4}\]
  done clear
  C)
                   \[\frac{\pi }{2}\]                                             
  done clear
  D)
                   \[\frac{\pi }{3}\]
  done clear
  View Answer play_arrow

• question_answer19) A step-down transformer reduces the voltage of a transmission line from 2200 V to 220 V. The power delivered by it is 880 W and its efficiency is 88%. The input current is
  A)
   4.65 A                                  
  done clear
  B)
   0.045 A
  done clear
  C)
   0.45 A                                  
  done clear
  D)
   4.65 A
  done clear
  View Answer play_arrow

• question_answer20) Current in a coil changes from 4 A to zero in 0.1 s and the emf induced is 100 V. The self inductance of the coil is
  A)
   0.25 H                                  
  done clear
  B)
   0.4 H
  done clear
  C)
   2.5 H                    
  done clear
  D)
   4 H
  done clear
  View Answer play_arrow

• question_answer21) The electromagnetic theory of light failed to explain
  A)
   photoelectric effect      
  done clear
  B)
   polarization
  done clear
  C)
   diffraction                         
  done clear
  D)
   interference
  done clear
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• question_answer22) Light from two coherent sources of the same amplitude A and wavelength \[\lambda \] illuminates the screen. The intensity of the central maximum is \[{{I}_{0}}\]. If the sources were incoherent, the intensity at the same point will be
  A)
   \[4{{I}_{0}}\]                                    
  done clear
  B)
   \[2{{I}_{0}}\]
  done clear
  C)
   \[{{I}_{0}}\]                                      
  done clear
  D)
   \[\frac{{{I}_{0}}}{2}\]
  done clear
  View Answer play_arrow

• question_answer23) In Young's double slit experiment with sodium vapour lamp of wavelength 589 nm and the slits 0.589 mm apart, the half angular width of the central maximum is
  A)
   \[{{\sin }^{-1}}\left( 0.01 \right)\]                           
  done clear
  B)
   \[{{\sin }^{-1}}\left( 0.0001 \right)\]
  done clear
  C)
   \[{{\sin }^{-1}}\left( 0.001 \right)\]         
  done clear
  D)
   \[{{\sin }^{-1}}\left( 0.1 \right)\]
  done clear
  View Answer play_arrow

• question_answer24) A single slit Fraunhofer diffraction pattern is formed with white light. For what wavelength of light the third secondary maximum in the diffraction pattern coincides with the second secondary maximum in the pattern for red light of wavelength \[6500\overset{o}{\mathop{A}}\,\]?
  A)
   \[4400\overset{o}{\mathop{A}}\,\]                       
  done clear
  B)
   \[4100\overset{o}{\mathop{A}}\,\]
  done clear
  C)
   \[4642.8\overset{o}{\mathop{A}}\,\]                   
  done clear
  D)
   \[9100\overset{o}{\mathop{A}}\,\]
  done clear
  View Answer play_arrow

• question_answer25) The head lights of a jeep are 1.2 m apart. If the pupil of the eye of an observer has a diameter of mm and light of wavelength 5896 \[{{A}^{o}}\]is used, what should be the maximum distance of the jeep from the observer if the two head lights are just separated?
  A)
   33.9 km                              
  done clear
  B)
   33.9 m
  done clear
  C)
   3.34 m                                 
  done clear
  D)
   3.39 m
  done clear
  View Answer play_arrow

• question_answer26) The de-Broglie wavelength of a proton (charge \[=1.6\times {{10}^{-19}}C\], mass \[=1.6\times {{10}^{-27}}kg\]) accelerated through a potential difference of 1 kV is
  A)
   \[600\,\overset{o}{\mathop{A}}\,\]                      
  done clear
  B)
   \[0.9~{{10}^{-12}}m\]
  done clear
  C)
   \[7\,\overset{o}{\mathop{A}}\,\]                          
  done clear
  D)
   0.9 nm
  done clear
  View Answer play_arrow

• question_answer27) A radioactive element forms its own isotope after 3 consecutive disintegrations. The particles emitted are
  A)
   \[3\,\beta \]-particles
  done clear
  B)
   \[2\,\beta \]-particles and \[1\,\alpha \]-particle
  done clear
  C)
   \[2\,\beta \]-particles and \[1\,\gamma \]-particle
  done clear
  D)
   \[2\,\alpha \]-particles and \[1\,\beta \]-particle
  done clear
  View Answer play_arrow

• question_answer28) A radioactive substance contains 10000 nuclei  and its half-life period is 20 days. The number of nuclei present at the end of 10 days is
  A)
   7070                                     
  done clear
  B)
   9000
  done clear
  C)
   8000                                     
  done clear
  D)
   7500
  done clear
  View Answer play_arrow

• question_answer29) In Raman effect, Stokes? lines are spectral lines having
  A)
   frequency greater than that of the original line
  done clear
  B)
   wavelength equal to that of the original line
  done clear
  C)
   wavelength less than that of the original line
  done clear
  D)
   wavelength greater than that of the original line
  done clear
  View Answer play_arrow

• question_answer30) The principle of LASER action involves
  A)
   amplification of particular frequency emitted by the system
  done clear
  B)
   population inversion
  done clear
  C)
   stimulated emission
  done clear
  D)
   all of the above
  done clear
  View Answer play_arrow

• question_answer31) A ray of light is travelling from glass to air. (refractive index of glass = 1.5). The angle of incidence is \[{{50}^{o}}\]. The deviation of the ray is
  A)
   \[{{0}^{o}}\]                                     
  done clear
  B)
   \[{{80}^{o}}\]
  done clear
  C)
   \[{{50}^{0}}-{{\sin }^{-1}}\left[ \frac{\sin {{50}^{0}}}{1.5} \right]\]                            
  done clear
  D)
   \[{{\sin }^{-1}}\left[ \frac{\sin {{50}^{0}}}{1.5} \right]-{{50}^{0}}\]
  done clear
  View Answer play_arrow

• question_answer32) A vessel of height 2d is half-filled with a liquid of refractive index \[\sqrt{2}\] and the other half with a liquid of refractive index n (the given liquids are immiscible). Then the apparent depth of the inner surface of the bottom of the vessel (neglecting the thickness of the bottom of the  vessel) will be
  A)
   \[\frac{n}{d(n+\sqrt{2})}\]                         
  done clear
  B)
   \[\frac{d\,(n+\sqrt{2})}{n\sqrt{2}}\]
  done clear
  C)
   \[\frac{\sqrt{2}n}{d\,(n+\sqrt{2})}\]                      
  done clear
  D)
   \[\frac{nd}{d+\sqrt{2}n}\]
  done clear
  View Answer play_arrow

• question_answer33) A ray of light is incident normally on one face of a right angled isosceles prism. It then grazes the hypotenuse. The refractive index of the material of the prism is
  A)
   1.33                                      
  done clear
  B)
   1.414
  done clear
  C)
   1.5                                        
  done clear
  D)
   1.732
  done clear
  View Answer play_arrow

• question_answer34) Two thin equiconvex lenses each of focal length 0.2 m are placed coaxially with their optic centres 0.5 m apart. Then the focal length of the combination is
  A)
   -0.4 m                                 
  done clear
  B)
   0.4 m
  done clear
  C)
   - 0.1 m                                
  done clear
  D)
   0.1 m
  done clear
  View Answer play_arrow

• question_answer35) A prism of a certain angle deviates the red and blue rays by \[{{8}^{o}}\] and \[{{12}^{o}}\] respectively. Another prism of the same angle deviates the red and blue rays by \[{{10}^{o}}\] and \[{{14}^{o}}\] respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratio
  A)
   \[5:6\]                                 
  done clear
  B)
   \[9:11\]
  done clear
  C)
   \[6:5\]                                 
  done clear
  D)
   \[11:9\]
  done clear
  View Answer play_arrow

• question_answer36) When the angle of incidence is \[{{60}^{o}}\] on the surface of a glass slab, it is found that the reflected ray is completely polarised. The velocity of light in glass is
  A)
   \[\sqrt{2}\times {{10}^{8}}m{{s}^{-1}}\]              
  done clear
  B)
   \[\sqrt{3}\times {{10}^{8}}m{{s}^{-1}}\]
  done clear
  C)
   \[2\times {{10}^{8}}m{{s}^{-1}}\]                            
  done clear
  D)
   \[3\times {{10}^{8}}m{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer37) A 20 cm length of a certain solution causes right handed rotation of \[{{38}^{o}}\]. A 30 cm length of another solution causes left handed rotation of \[{{24}^{o}}\]. The optical rotation caused by 30 cm length of a mixture of the above solutions in the volume ratio \[1:2\] is
  A)
   left handed rotation of \[{{14}^{o}}\]
  done clear
  B)
   right handed rotation of \[{{14}^{o}}\]
  done clear
  C)
   left handed rotation of \[{{3}^{o}}\]
  done clear
  D)
                   right handed rotation of \[{{3}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer38) Two identical charges repel each other with a force equal to 10 mg wt when they are 0.6 m a part in air \[(g=10\text{ }m{{s}^{-2}})\]. The value of each charge is
  A)
   2 mC                                    
  done clear
  B)
   \[2\times {{10}^{-7}}C\]
  done clear
  C)
   2 nC                                     
  done clear
  D)
   \[2\,\mu C\]
  done clear
  View Answer play_arrow

• question_answer39) The potential of the electric Held produced by point charge at any point \[(x,y,z)\] is given by\[V=3{{x}^{2}}+5\], where \[x,y\] are in metres and V is m volts. The intensity of the electric Held at \[(-2,1,0)\] is
  A)
   \[+17\text{ }V{{m}^{-1}}\]                         
  done clear
  B)
   \[-17\text{ }V{{m}^{-1}}\]
  done clear
  C)
   \[+12\text{ }V{{m}^{-1}}\]                         
  done clear
  D)
   \[-12\text{ }V{{m}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer40) The potential of a large liquid drop when eight liquid drops are combined is 20 V. Then the potential of each single drop was
  A)
   10 V                                     
  done clear
  B)
   7.5 V
  done clear
  C)
   5 V                                        
  done clear
  D)
   2.5 V
  done clear
  View Answer play_arrow

• question_answer41) The dimensional formula for impulse is
  A)
   \[[ML{{T}^{-1}}]\]                          
  done clear
  B)
   \[[M{{L}^{-1}}T]\]
  done clear
  C)
   \[[{{M}^{-1}}L{{T}^{-1}}]\]                         
  done clear
  D)
   \[[M{{L}^{-1}}{{T}^{-1}}]\]
  done clear
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• question_answer42) The maximum height attained by a projectile when thrown at an angle \[\theta \] with the horizontal is found to be half the horizontal range. Then 0 is equal to
  A)
   \[{{\tan }^{-1}}\left( 2 \right)\]                
  done clear
  B)
   \[\frac{\pi }{6}\]
  done clear
  C)
   \[\frac{\pi }{4}\]                                             
  done clear
  D)
   \[{{\tan }^{-1}}\left( \frac{1}{2} \right)\]
  done clear
  View Answer play_arrow

• question_answer43) A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio \[2:3\]. The smaller fragment moves with a velocity of\[6\,\,m{{s}^{-1}}\]. The kinetic energy of the larger fragment is
  A)
   96 J                                       
  done clear
  B)
   216 J
  done clear
  C)
   144 J                                    
  done clear
  D)
   360 J
  done clear
  View Answer play_arrow

• question_answer44) Water rises in plant fibres due to
  A)
   capillarity           
  done clear
  B)
   viscosity
  done clear
  C)
   fluid pressure  
  done clear
  D)
   osmosis
  done clear
  View Answer play_arrow

• question_answer45) The acceleration due to gravity becomes \[\left( \frac{g}{2} \right)\] (g = acceleration due to gravity on the surface of the earth) at a height equal to
  A)
   4 R                                        
  done clear
  B)
   \[\frac{R}{4}\]
  done clear
  C)
   2 R                                        
  done clear
  D)
   \[\frac{R}{2}\]
  done clear
  View Answer play_arrow

• question_answer46) The cylindrical tube of a spray pump has a cross-section of \[8\text{ }c{{m}^{2}}\], one end of which has 40 fine holes each of area \[{{10}^{-8}}{{m}^{2}}\]. If the liquid flows inside the tube with a speed of\[0.15\text{ }m\text{ }mi{{n}^{-1}}\], the speed with which the liquid is ejected through the holes is
  A)
   \[50\text{ }m{{s}^{-1}}\]                             
  done clear
  B)
   \[5\text{ }m{{s}^{-1}}\]
  done clear
  C)
   \[0.05\text{ }m{{s}^{-1}}\]                         
  done clear
  D)
   \[0.5\text{ }m{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer47) During an adiabatic process, the cube of the pressure is found to be inversely proportional to the fourth power of the volume. Then the ratio of specific heats is
  A)
   1                                            
  done clear
  B)
   1.33
  done clear
  C)
   1.67                                      
  done clear
  D)
   1.4
  done clear
  View Answer play_arrow

• question_answer48) Two identical rods AC and CB made of two different metals having thermal conductivities in the ratio \[2:3\] are kept in contact with each other at the end C as shown in the figure. A is at \[{{100}^{o}}C\] and B is at \[{{25}^{o}}C\]. Then the junction C is at
  A)
   \[{{55}^{o}}C\]                                
  done clear
  B)
   \[{{60}^{o}}C\]
  done clear
  C)
   \[{{75}^{o}}C\]                                
  done clear
  D)
   \[{{50}^{o}}C\]
  done clear
  View Answer play_arrow

• question_answer49) 310 J of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from \[{{25}^{o}}C\] to \[{{35}^{o}}C\]. The amount of heat required to raise the temperature of the gas through the same range at constant volume is
  A)
   384 J                                    
  done clear
  B)
   144 J
  done clear
  C)
   276 J                                    
  done clear
  D)
   452 J
  done clear
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• question_answer50) A Carnot's engine operates with source at \[{{127}^{o}}C\] and sink at \[{{27}^{o}}C\]. If the source supplies 40 kJ of heat energy, the work done by the engine is
  A)
   30 kJ                                    
  done clear
  B)
   10 kJ
  done clear
  C)
   4 kJ                                       
  done clear
  D)
   1 kJ
  done clear
  View Answer play_arrow

• question_answer51) The maximum particle velocity in a wave motion is half the wave velocity. Then the amplitude of the wave is equal to
  A)
   \[\frac{\lambda }{4\pi }\]                                           
  done clear
  B)
   \[\frac{2\lambda }{\pi }\]
  done clear
  C)
   \[\frac{\lambda }{2\pi }\]                                           
  done clear
  D)
   \[\lambda \]
  done clear
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• question_answer52) The ratio of the velocity of sound in hydrogen\[\left( \gamma =7/5 \right)\]to that in helium \[\left( \gamma =\frac{5}{3} \right)\] at the same temperature is
  A)
   \[\sqrt{\frac{5}{42}}\]                  
  done clear
  B)
   \[\sqrt{\frac{5}{21}}\]
  done clear
  C)
   \[\frac{\sqrt{42}}{5}\]                  
  done clear
  D)
   \[\frac{\sqrt{21}}{5}\]
  done clear
  View Answer play_arrow

• question_answer53) An engine moving towards a wall with a velocity \[50\text{ }m{{s}^{-1}}\] emits a note of 1.2 kHz. Speed of sound in air is \[350\text{ }m{{s}^{-1}}\]. The frequency of the note after reflection from the wall as heard by the driver of the engine is
  A)
   2.4 kHz                                
  done clear
  B)
   0.24 kHz
  done clear
  C)
   1.6 kHz                                
  done clear
  D)
   1.2 kHz
  done clear
  View Answer play_arrow

• question_answer54) A glass tube is open at both the ends. A tuning fork of frequency \[f\] resonates with the air column inside the tube. Now the tube is placed vertically inside water so that half the length of the tube is filled with water. Now the air column inside the tube is in unison with another fork of frequency \[f'\]. Then
  A)
   \[f'=f\]                                
  done clear
  B)
   \[f'=4f\]
  done clear
  C)
   \[f'=2f\]                             
  done clear
  D)
   \[f'=\frac{f}{2}\]
  done clear
  View Answer play_arrow

• question_answer55) The surface temperature of the sun which has maximum energy emission at 500 nm is 6000 K. The temperature of a star which has maximum energy emission at 400 nm will be
  A)
   8500 K                 
  done clear
  B)
   4500 K
  done clear
  C)
   7500 K                 
  done clear
  D)
   6500 K
  done clear
  View Answer play_arrow

• question_answer56) The volume of a nucleus is directly proportional to
  A)
   A                                           
  done clear
  B)
   \[{{A}^{3}}\]
  done clear
  C)
   \[\sqrt{A}\]                                      
  done clear
  D)
   \[{{A}^{1/3}}\] (where A = mass number of the nucleus)
  done clear
  View Answer play_arrow

• question_answer57) An electron is
  A)
   a hadron                            
  done clear
  B)
   a baryon
  done clear
  C)
   a nucleon          
  done clear
  D)
   a lepton
  done clear
  View Answer play_arrow

• question_answer58) Minority carriers in a p-type semiconductor are
  A)
   free electrons
  done clear
  B)
   holes
  done clear
  C)
   neither holes nor free electrons
  done clear
  D)
   both holes and free electrons
  done clear
  View Answer play_arrow

• question_answer59) In a reverse biased diode when the applied voltage changes by 1 V, the current is found to change by \[0.5\,\mu A\] The reverse bias resistance of the diode is
  A)
   \[2\times {{10}^{5}}\Omega \]                 
  done clear
  B)
   \[2\times {{10}^{6}}\Omega \]
  done clear
  C)
   \[200\,\Omega \]                           
  done clear
  D)
   \[2\,\Omega \]
  done clear
  View Answer play_arrow

• question_answer60) The truth table given below is for CA and B are the inputs, Y is the output)

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

  A)
   NOR                                     
  done clear
  B)
   AND
  done clear
  C)
   XOR                                     
  done clear
  D)
   NAND
  done clear
  View Answer play_arrow

• question_answer61) The number of unidentate ligands in the complex ion is called
  A)
   oxidation number
  done clear
  B)
   primary valency
  done clear
  C)
   coordination number
  done clear
  D)
                   EAN
  done clear
  View Answer play_arrow

• question_answer62) \[2S{{O}_{2}}(g)+{{O}_{2}}(g)\] is an example for
  A)
   neutralisation reaction
  done clear
  B)
   homogeneous catalysis
  done clear
  C)
   heterogeneous catalysis
  done clear
  D)
   irreversible reaction
  done clear
  View Answer play_arrow

• question_answer63) The amino acid which is not optically active is
  A)
   lactic acid           
  done clear
  B)
   serine
  done clear
  C)
    alanine                              
  done clear
  D)
   glycine
  done clear
  View Answer play_arrow

• question_answer64) For a stable molecule, the value of bond order must be
  A)
   there is no relationship between stability and bond order
  done clear
  B)
   zero
  done clear
  C)
   positive
  done clear
  D)
   negative
  done clear
  View Answer play_arrow

• question_answer65) Which one of the following is a second order reaction?
  A)
   \[{{H}_{2}}+B{{r}_{2}}\xrightarrow{{}}2HBr\]
  done clear
  B)
   \[N{{H}_{4}}N{{O}_{3}}\xrightarrow{{}}{{N}_{2}}+3{{H}_{2}}O\]
  done clear
  C)
   \[{{H}_{2}}+C{{l}_{2}}\xrightarrow{sunlight}2HCl\]
  done clear
  D)
   \[C{{H}_{3}}COOCH+NaOH\xrightarrow{{}}C{{H}_{3}}COONa\]\[+{{H}_{2}}0\]
  done clear
  View Answer play_arrow

• question_answer66) Denatured alcohol is
  A)
   ethanol + methahol
  done clear
  B)
   rectified spirit + methanol + naphtha
  done clear
  C)
   undistilled ethanol
  done clear
  D)
   rectified spirit
  done clear
  View Answer play_arrow

• question_answer67) During the formation of a chemical bond
  A)
   electron-electron repulsion becomes more than the nucleus-electron attraction
  done clear
  B)
   energy of the system does not change
  done clear
  C)
   energy increases
  done clear
  D)
   energy decreases
  done clear
  View Answer play_arrow

• question_answer68) One mole of oxygen at 273 K and one mole of sulphur dioxide at 546 K are taken in two separate containers, then,
  A)
   kinetic energy of \[{{O}_{2}}>\] kinetic energy of\[S{{O}_{2}}\]
  done clear
  B)
   kinetic energy of \[{{O}_{2}}<\] kinetic energy of\[S{{O}_{2}}\]
  done clear
  C)
   kinetic energy of both are equal
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer69) \[+I\] effect is shown by
  A)
   \[-C{{H}_{3}}\]                                
  done clear
  B)
   \[-Br\]
  done clear
  C)
   \[-Cl\]                                 
  done clear
  D)
   \[-N{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer70) Formation of coloured solution is possible when metal ion in the compound contains
  A)
   paired electrons
  done clear
  B)
   lone pair of electrons
  done clear
  C)
   unpaired electrons
  done clear
  D)
   none of the above
  done clear
  View Answer play_arrow

• question_answer71) Benzene reacts with chlorine in sunlight to give a final product
  A)
   \[CC{{l}_{4}}\]                 
  done clear
  B)
   \[{{C}_{6}}{{H}_{6}}C{{l}_{6}}\]
  done clear
  C)
   \[{{C}_{6}}C{{l}_{6}}\]                  
  done clear
  D)
   \[{{C}_{6}}{{H}_{5}}Cl\]
  done clear
  View Answer play_arrow

• question_answer72) In the periodic table metals usually used as catalysts belong to
  A)
   \[f-\]block         
  done clear
  B)
   d-block
  done clear
  C)
   p-block                               
  done clear
  D)
   s-block
  done clear
  View Answer play_arrow

• question_answer73) Dalton's law of partial pressure is applicable to which one of the following systems?
  A)
   \[N{{H}_{3}}+HCl\]                        
  done clear
  B)
   \[NO+{{O}_{2}}\]
  done clear
  C)
   \[{{H}_{2}}+C{{l}_{2}}\]               
  done clear
  D)
   \[CO+{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer74) The general formula of a cycloalkane is
  A)
   \[{{C}_{n}}\,\,{{H}_{n}}\]                            
  done clear
  B)
   \[{{C}_{n}}\,\,{{H}_{2n}}\]
  done clear
  C)
   \[{{C}_{n}}\,\,{{H}_{2n-n}}\]                     
  done clear
  D)
   \[{{C}_{n}}\,\,{{H}_{2n\,+\,2}}\]
  done clear
  View Answer play_arrow

• question_answer75) In acetylene molecule, between the carbon atoms there are
  A)
   three pi bonds
  done clear
  B)
   one sigma and two pi bonds
  done clear
  C)
   two sigma and one pi bonds
  done clear
  D)
   three sigma bonds
  done clear
  View Answer play_arrow

• question_answer76) Which of the following is an intensive property?
  A)
   temperature   
  done clear
  B)
   viscosity
  done clear
  C)
   surface tension               
  done clear
  D)
   all of these
  done clear
  View Answer play_arrow

• question_answer77) Hofmann's bromamide reaction is to convert
  A)
   acid to alcohol
  done clear
  B)
   alcohol to acid
  done clear
  C)
   amide to amine
  done clear
  D)
   amine to amide
  done clear
  View Answer play_arrow

• question_answer78) IUPAC name of \[N{{a}_{3}}[Co{{(N{{O}_{2}})}_{6}}]\] is
  A)
   sodium hexanitrito cobaltate (II)
  done clear
  B)
   sodium hexanitro cobaltate (III)
  done clear
  C)
   sodium hexanitrito cobaltate (III)
  done clear
  D)
   sodium cobaltmitrite
  done clear
  View Answer play_arrow

• question_answer79) In equilibrium state the value of \[\Delta G\] is
  A)
   zero
  done clear
  B)
   negative
  done clear
  C)
   positive
  done clear
  D)
   may be negative or positive
  done clear
  View Answer play_arrow

• question_answer80) How many chiral carbon atoms are present in 2,3, 4-trichloropentane?
  A)
   4                                            
  done clear
  B)
   1
  done clear
  C)
   2                                            
  done clear
  D)
   3
  done clear
  View Answer play_arrow

• question_answer81) Which one of the following shows functional isomerism?
  A)
   \[{{C}_{2}}{{H}_{4}}\]                   
  done clear
  B)
   \[{{C}_{3}}{{H}_{6}}\]
  done clear
  C)
   \[{{C}_{2}}{{H}_{5}}OH\]                             
  done clear
  D)
   \[C{{H}_{2}}C{{l}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer82) In the ionic equation \[-BiO_{3}^{-}+6{{H}^{+}}+x{{e}^{-}}\xrightarrow{{}}\]\[B{{i}^{3+}}+3{{H}_{2}}O\], the values of \[x\] is
  A)
   6                                            
  done clear
  B)
   2
  done clear
  C)
   4                                            
  done clear
  D)
   3
  done clear
  View Answer play_arrow

• question_answer83) Molarity of a given orthophosphoric acid solution is 3 M. It's normality is
  A)
  9 N                                        
  done clear
  B)
  0.3 N
  done clear
  C)
  3 N                                        
  done clear
  D)
  1 N
  done clear
  View Answer play_arrow

• question_answer84) Acidified sodium fusion extract on addition of ferric chloride solution gives blood red colouration which confirms the presence of
  A)
   S and \[Cl\]                       
  done clear
  B)
   N and S
  done clear
  C)
   N                                           
  done clear
  D)
   S
  done clear
  View Answer play_arrow

• question_answer85) A body of mass 10 mg is moving with a  velocity of \[100\,\,m{{s}^{-1}}\]. The wavelength of de-Broglie wave associated with it would be \[(h=6.63\times {{10}^{-34}}Js)\]
  A)
   \[6.63\times {{10}^{-35}}m\]    
  done clear
  B)
   \[6.63\times {{10}^{-34}}m\]
  done clear
  C)
   \[6.63\times {{10}^{-31}}m\]    
  done clear
  D)
   \[6.63\times {{10}^{-37}}m\]
  done clear
  View Answer play_arrow

• question_answer86) Angle strain in cyclopropane is
  A)
  \[{{24}^{o}}44'\]                             
  done clear
  B)
   \[{{9}^{o}}44'\]
  done clear
  C)
  \[44'\]
  done clear
  D)
   \[-{{5}^{o}}16'\]
  done clear
  View Answer play_arrow

• question_answer87) The number of antibonding electron pairs in \[O_{2}^{2-}\] molecular ion on the basis of molecular orbital theory is (Atomic number of 0 is 18.)
  A)
   5                                            
  done clear
  B)
   4
  done clear
  C)
   3                                            
  done clear
  D)
   2
  done clear
  View Answer play_arrow

• question_answer88) Hydroxyl ion concentration of \[{{10}^{-2}}M\,HCl\] is
  A)
   \[1\times {{10}^{1}}\,mol\,d{{m}^{-3}}\]             
  done clear
  B)
   \[1\times {{10}^{-12}}\,mol\,d{{m}^{-3}}\]
  done clear
  C)
                   \[1\times {{10}^{-1}}\,mol\,d{{m}^{-3}}\]           
  done clear
  D)
                   \[1\times {{10}^{-14}}\,mol\,d{{m}^{-3}}\]
  done clear
  View Answer play_arrow

• question_answer89) Geometrical isomerism is shown by
  A)
   \[-C-C-\]                            
  done clear
  B)
   \[\rangle C=C\langle \]
  done clear
  C)
   \[-C\equiv C-\]                                
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer90) The oxidation state of iron in \[{{K}_{4}}[Fe{{(CN)}_{6}}]\]is
  A)
   1                                            
  done clear
  B)
   4   
  done clear
  C)
   3                                            
  done clear
  D)
   2 
  done clear
  View Answer play_arrow

• question_answer91) During the extraction of gold the following reactions take place \[Au+C{{N}^{-}}+{{H}_{2}}O\xrightarrow{{{O}_{2}}}[X]\]\[[X]+Zn\xrightarrow{{}}[Y]+Au\]X and Y are respectively
  A)
   \[{{[Au{{(CN)}_{2}}]}^{-}}\] and \[{{[Zn{{(CN)}_{6}}]}^{4-}}\]
  done clear
  B)
   \[{{[Au{{(CN)}_{4}}]}^{2-}}\] and \[{{[Zn{{(CN)}_{4}}]}^{2-}}\]
  done clear
  C)
   \[{{[Au{{(CN)}_{4}}]}^{3-}}\] and \[{{[Zn{{(CN)}_{4}}]}^{2-}}\]
  done clear
  D)
   \[{{[Au{{(CN)}_{2}}]}^{-}}\] and \[{{[Zn{{(CN)}_{4}}]}^{2-}}\]
  done clear
  View Answer play_arrow

• question_answer92) The number of gram molecules of chlorine in \[6.02\times {{10}^{25}}\]  hydrogen chloride molecules is
  A)
   10                                         
  done clear
  B)
   100
  done clear
  C)
   50                                         
  done clear
  D)
   5
  done clear
  View Answer play_arrow

• question_answer93) Graphite is a soft solid lubricant extremely difficult to melt. The reason for this anomalous behaviour is that graphite
  A)
   is an allotropic form of carbon
  done clear
  B)
   is a non-crystalline substance
  done clear
  C)
   has carbon atoms arranged in large plates of rings of strongly bond carbon atoms with weak interplate bonds
  done clear
  D)
   has molecules of variable molecular masses like polymers
  done clear
  View Answer play_arrow

• question_answer94) Paracetamol is a/an
  A)
   antipyretic
  done clear
  B)
   analgesic
  done clear
  C)
   both (a) and (b)
  done clear
  D)
   antimalarial
  done clear
  View Answer play_arrow

• question_answer95) Which one of the following has maximum number of atoms of oxygen?
  A)
   2 g of carbon monoxide
  done clear
  B)
   2 g of carbon dioxide
  done clear
  C)
   2 g of sulphur dioxide
  done clear
  D)
   2 g of water
  done clear
  View Answer play_arrow

• question_answer96) \[M{{g}^{2+}}\] is isoelectronic with
  A)
   \[C{{u}^{2+}}\]                
  done clear
  B)
   \[Z{{n}^{2+}}\]
  done clear
  C)
   \[N{{a}^{+}}\]                                  
  done clear
  D)
   \[C{{a}^{2+}}\]
  done clear
  View Answer play_arrow

• question_answer97) Gram molecular volume of oxygen at STP is
  A)
   \[3200\,c{{m}^{3}}\]                     
  done clear
  B)
   \[5600\,c{{m}^{3}}\]
  done clear
  C)
   \[22400\,c{{m}^{3}}\]                   
  done clear
  D)
   \[11200\,c{{m}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer98) Presence of halogen in organic compounds can be detected using
  A)
   Leibigstest   
  done clear
  B)
   Duma's test
  done clear
  C)
   Kjeldahltest      
  done clear
  D)
   Beilstien?s test
  done clear
  View Answer play_arrow

• question_answer99) The electronic configuration of \[C{{r}^{3+}}\] is
  A)
   \[[Ar]\,3{{d}^{4}}4{{s}^{2}}\]                    
  done clear
  B)
   \[[Ar]\,3{{d}^{3}}4{{s}^{0}}\]
  done clear
  C)
   \[[Ar]\,3{{d}^{2}}4{{s}^{1}}\]                    
  done clear
  D)
   \[[Ar]\,3{{d}^{5}}4{{s}^{1}}\]
  done clear
  View Answer play_arrow

• question_answer100) What is the equivalent weight of \[SnC{{l}_{2}}\] in the following reaction\[SnC{{l}_{2}}+C{{l}_{2}}\xrightarrow{{}}SnC{{l}_{4}}?\] 
  A)
   95                                         
  done clear
  B)
   45
  done clear
  C)
   60                                         
  done clear
  D)
   30
  done clear
  View Answer play_arrow

• question_answer101) Which of the following forms a colourless solution in aqueous medium?
  A)
   \[C{{r}^{3+}}\]                 
  done clear
  B)
   \[{{V}^{3+}}\]
  done clear
  C)
   \[S{{c}^{3+}}\]                                 
  done clear
  D)
   \[T{{i}^{3+}}\]
  done clear
  View Answer play_arrow

• question_answer102) When a sulphur sol is evaporated sulphur is obtained. On mixing with water sulphur sol is not formed. The sol is
  A)
   lyophilic
  done clear
  B)
   reversible
  done clear
  C)
   hydrophobic
  done clear
  D)
   hydrophilic
  done clear
  View Answer play_arrow

• question_answer103) An alkyl halide reacts with alcoholic ammonia in a sealed tube, the product formed will be
  A)
   a primary amine
  done clear
  B)
   a secondary amine
  done clear
  C)
   a tertiary amine
  done clear
  D)
   a mixture of all the three
  done clear
  View Answer play_arrow

• question_answer104) When cone. \[{{H}_{2}}S{{O}_{4}}\] is heated with \[{{P}_{2}}{{O}_{5}}\] the acid is converted into
  A)
   sulphur trioxide
  done clear
  B)
   sulphur dioxide
  done clear
  C)
   sulphur
  done clear
  D)
   a mixture of sulphur dioxide and sulphur trioxide
  done clear
  View Answer play_arrow

• question_answer105) Entropy of the universe is
  A)
   constant
  done clear
  B)
   zero
  done clear
  C)
   continuously decreasing
  done clear
  D)
   continuously increasing
  done clear
  View Answer play_arrow

• question_answer106) Which one of the following salts on being dissolved in water gives \[pH>7\] at \[{{25}^{o}}C\]?
  A)
   \[KCN\]                              
  done clear
  B)
   \[KN{{O}_{3}}\]
  done clear
  C)
   \[N{{H}_{4}}Cl\]                              
  done clear
  D)
   \[N{{H}_{4}}CN\]
  done clear
  View Answer play_arrow

• question_answer107) The reagent used in Clemmensen?s reduction is
  A)
   conc.\[{{H}_{2}}S{{O}_{4}}\]     
  done clear
  B)
   Zn?Hg/conc.\[HCl\]
  done clear
  C)
   \[aqKOH~\]                      
  done clear
  D)
   ale. \[KOH\]
  done clear
  View Answer play_arrow

• question_answer108) When \[KBr\] is dissolved in water, \[{{K}^{+}}\] ions are
  A)
   hydrated           
  done clear
  B)
   hydrolysed
  done clear
  C)
   reduced                             
  done clear
  D)
   oxidized
  done clear
  View Answer play_arrow

• question_answer109) The noble gas mixture is cooled in a coconut bulb at 173 K. The gases that are not adsorbed are
  A)
   Ne and Xe
  done clear
  B)
   He and Xe
  done clear
  C)
   Ar and Kr
  done clear
  D)
   He and Ne
  done clear
  View Answer play_arrow

• question_answer110) The volume of 10 N and 4 N \[HCl\] required to make 1 L of 7 N \[HCl\]are
  A)
   0.50 L of \[10\text{ }N\,HCl\] and 0.50 L of 4 N \[HCl\]
  done clear
  B)
   0.60 L of \[10\text{ }N\,HCl\] and 0.40 L of 4 N \[HCl\]
  done clear
  C)
   0.80 L of \[10\text{ }N\,HCl\] and 0.20 L of 4 N \[HCl\]
  done clear
  D)
   0.75 L of \[10\text{ }N\,HCl\] and 0.25 L of 4 N \[HCl\]
  done clear
  View Answer play_arrow

• question_answer111) A metal present in vitamin \[{{B}_{12}}\] is
  A)
   aluminium         
  done clear
  B)
   zinc
  done clear
  C)
   iron                                      
  done clear
  D)
   cobalt
  done clear
  View Answer play_arrow

• question_answer112) An oxide of the element contains 20% \[{{O}_{2}}\] by weight. Calculate the equivalent weight of the element.
  A)
   8                                            
  done clear
  B)
   16
  done clear
  C)
   32                                         
  done clear
  D)
   12
  done clear
  View Answer play_arrow

• question_answer113) Maximum number of molecules of \[C{{H}_{3}}I\] that can react with a molecule of \[C{{H}_{3}}N{{H}_{2}}\] are
  A)
   3                            
  done clear
  B)
   4
  done clear
  C)
   2                            
  done clear
  D)
   1
  done clear
  View Answer play_arrow

• question_answer114) The relation between \[\Delta \,H\] and \[\Delta \,U\] is
  A)
   \[\Delta \,H=\Delta U+RT\]
  done clear
  B)
   \[\Delta \,H=\Delta U-\Delta nRT\]
  done clear
  C)
   \[\Delta \,H=\Delta U+\Delta nRT\]
  done clear
  D)
   \[\Delta \,U=\Delta H+\Delta nRT\]
  done clear
  View Answer play_arrow

• question_answer115) Identify the ore not cotaining iron.
  A)
   limonite                             
  done clear
  B)
   siderite
  done clear
  C)
   carnallite            
  done clear
  D)
   chalcopyrites
  done clear
  View Answer play_arrow

• question_answer116) In which of the following process, maximum increase in entropy is observed?
  A)
   Melting of ice
  done clear
  B)
  ­ Sublimation of naphthalene
  done clear
  C)
   Condensation of water
  done clear
  D)
   Dissolution of salt in water
  done clear
  View Answer play_arrow

• question_answer117) Decomposition of benzene diazonium chloride by using \[C{{u}_{2}}C{{l}_{2}}/HCl\] to form chlorobenzene is
  A)
   Raschig's reaction
  done clear
  B)
   Sandmeyer's reaction
  done clear
  C)
   Kolbe's reaction
  done clear
  D)
   Cannizaro's reaction
  done clear
  View Answer play_arrow

• question_answer118) Which complex cannot ionise in solution?
  A)
   \[[CoC{{l}_{3}}{{(N{{H}_{3}})}_{3}}]\]    
  done clear
  B)
   \[{{K}_{4}}[Fe{{(CN)}_{6}}]\]
  done clear
  C)
   \[{{K}_{2}}[Pt({{F}_{6}})]\]         
  done clear
  D)
   \[[Pt{{(N{{H}_{3}})}_{6}}]C{{l}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer119) Considering the reaction \[C(s)+{{O}_{2}}(g)\] \[\xrightarrow{{}}C{{O}_{2}}(g)+393.5\,kJ\] the signs of \[\Delta H,\,\,\Delta S\] and \[\Delta G\] respectively are
  A)
   \[+,-,-\]                              
  done clear
  B)
   \[-,+,+\]
  done clear
  C)
   \[-,-,-\]                               
  done clear
  D)
   \[-,+,-\]
  done clear
  View Answer play_arrow

• question_answer120) The product formed when hydroxylamine condenses with a carbonyl compound is called
  A)
   hydrazide                          
  done clear
  B)
   oxime
  done clear
  C)
   hydrazine                          
  done clear
  D)
   hydrazine
  done clear
  View Answer play_arrow

• question_answer121) If \[\vec{a}=2\hat{i}+3\hat{j}-k,\] \[\vec{b}=\hat{i}+2\hat{j}-5\hat{k},\] \[\vec{c}=3\hat{i}+5\hat{j}-\hat{k},\]Then a vector perpendicular to \[\vec{a}\]and in the plane containing \[\overrightarrow{b}\] and \[\overrightarrow{c}\] is
  A)
   \[-17\hat{i}+21\hat{j}-97\hat{k}\]
  done clear
  B)
   \[17\hat{i}+21\hat{j}-123\hat{k}\]
  done clear
  C)
   \[-17\hat{i}-21\hat{j}+97\hat{k}\]
  done clear
  D)
  \[-17\hat{i}-21\hat{j}-97\hat{k}\]
  done clear
  View Answer play_arrow

• question_answer122) \[\overrightarrow{OA}\] and \[\overrightarrow{BO}\] are two vectors of magnitudes 5 and 6 respectively. If Z \[\angle BOA={{60}^{o}},\]then \[\overrightarrow{OA}.\overrightarrow{OB}\]is equal to
  A)
   \[0\]                                    
  done clear
  B)
   \[15\]
  done clear
  C)
   \[-15\]                                
  done clear
  D)
   \[15\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer123) A vector perpendicular to the plane containing the points \[A(1,-1,2),\] \[B(2,0,-1),\] \[C(0,2,1)\] is
  A)
   \[4\hat{i}+8\hat{j}-4\hat{k}\]
  done clear
  B)
   \[8\hat{i}+4\hat{j}+4\hat{k}\]
  done clear
  C)
   \[3\hat{i}+\hat{j}+2\hat{k}\]
  done clear
  D)
    \[\hat{i}+\hat{j}-\hat{k}\]
  done clear
  View Answer play_arrow

• question_answer124) \[\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+....\frac{1}{(3n-1)(3n+2)}\]is equal to
  A)
   \[\frac{n}{6n-4}\]                           
  done clear
  B)
   \[\frac{n}{6n+3}\]
  done clear
  C)
   \[\frac{n}{6n+4}\]                          
  done clear
  D)
   \[\frac{n+1}{6n+4}\]
  done clear
  View Answer play_arrow

• question_answer125) The ninth term of the expansion \[{{\left( 3x-\frac{1}{2x} \right)}^{8}}\] is
  A)
   \[\frac{1}{512{{x}^{9}}}\]                            
  done clear
  B)
   \[\frac{-1}{512{{x}^{9}}}\]
  done clear
  C)
   \[\frac{-1}{256.{{x}^{8}}}\]                         
  done clear
  D)
   \[\frac{1}{256.{{x}^{8}}}\]
  done clear
  View Answer play_arrow

• question_answer126) The solution of  is \[{{\tan }^{-1}}x+2{{\cot }^{-1}}x=\frac{2\pi }{3}\]is
  A)
   \[-\frac{1}{\sqrt{3}}\]                   
  done clear
  B)
   \[\frac{1}{\sqrt{3}}\]
  done clear
  C)
   \[-\sqrt{3}\]                     
  done clear
  D)
   \[\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer127) \[{{\sin }^{2}}{{17.5}^{o}}+{{\sin }^{2}}{{72.5}^{o}}\] is equal to
  A)
   \[{{\cos }^{2}}{{90}^{o}}\]                          
  done clear
  B)
   \[{{\tan }^{2}}{{45}^{o}}\]
  done clear
  C)
   \[co{{s}^{2}}{{30}^{o}}\]                             
  done clear
  D)
   \[{{\sin }^{2}}{{45}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer128) The conjugate of the complex number \[\frac{{{(1+i)}^{2}}}{1-i}\]is
  A)
   \[1-i\]                                  
  done clear
  B)
   \[1+i\]
  done clear
  C)
   \[-1+i\]                               
  done clear
  D)
   \[-1-i\]
  done clear
  View Answer play_arrow

• question_answer129) ABC is a triangle with \[\angle A={{30}^{o}},\] \[BC=10\text{ }cm\]. The area of the circum circle of the triangle is
  A)
   \[100\pi \,sq\,m\]
  done clear
  B)
   \[5\,sq\,cm\]
  done clear
  C)
   \[25\,sq\,cm\]
  done clear
  D)
   \[\frac{100\pi }{3}\,sq\,cm\]
  done clear
  View Answer play_arrow

• question_answer130)    If \[\sin \,3\theta =\sin \theta ,\]how many solutions exist such that \[-2\pi <\theta <2\pi \]?
  A)
   \[8\]                                    
  done clear
  B)
   \[9\]
  done clear
  C)
   \[5\]                                    
  done clear
  D)
   \[7\]
  done clear
  View Answer play_arrow

• question_answer131) A graph G has ?m' vertices of odd degree and ?n' vertices of even degree. Then which of the following statements is necessarily true?
  A)
   \[m+n\]is an odd number
  done clear
  B)
   \[m+n\] is an even number
  done clear
  C)
   \[n+1\]is an even number
  done clear
  D)
   \[m+1\]is an odd number
  done clear
  View Answer play_arrow

• question_answer132) If P is any point on the ellipse \[\frac{{{x}^{2}}}{36}+\frac{{{y}^{2}}}{16}=1,\] and S and S' are the foci, then \[PS+PS'\]is equal to
  A)
   \[4\]                                    
  done clear
  B)
   \[8\]
  done clear
  C)
   \[10\]                                  
  done clear
  D)
   \[12\]
  done clear
  View Answer play_arrow

• question_answer133) The value of \[\sin \left[ 2{{\cos }^{-1}}\frac{\sqrt{5}}{3} \right]\] is
  A)
   \[\frac{\sqrt{5}}{3}\]                                    
  done clear
  B)
  \[\frac{2\sqrt{5}}{3}\]
  done clear
  C)
   \[\frac{4\sqrt{5}}{9}\]                  
  done clear
  D)
  \[\frac{2\sqrt{5}}{9}\]
  done clear
  View Answer play_arrow

• question_answer134) If \[\frac{{{x}^{2}}}{36}-\frac{{{y}^{2}}}{{{k}^{2}}}=1\] is a hyperbola, then which of the following statements can by true?
  A)
   \[(-3,1)\] lies on the hyperbola
  done clear
  B)
   \[(3,1)\]lies on the hyperbola
  done clear
  C)
   \[(10,4)\]lies on the hyperbola
  done clear
  D)
   \[(5,2)\] lies on the hyperbola
  done clear
  View Answer play_arrow

• question_answer135) The focus of the parabola \[y=2{{x}^{2}}+x\]is
  A)
   \[(0,0)\]                             
  done clear
  B)
   \[\left( \frac{1}{2},\frac{1}{4} \right)\]
  done clear
  C)
   \[\left( -\frac{1}{4},0 \right)\]                   
  done clear
  D)
   \[\left( -\frac{1}{4},\frac{1}{8} \right)\]
  done clear
  View Answer play_arrow

• question_answer136) If \[A\left[ \begin{matrix}    1 & -1 & 1  \\    2 & 1 & -3  \\    1 & 1 & 1  \\ \end{matrix} \right],10B=\left[ \begin{matrix}    4 & 2 & 2  \\    -5 & 0 & \alpha   \\    1 & -2 & 3  \\ \end{matrix} \right]\] and B is the inverse of A, then the value of \[\alpha \] is
  A)
   \[2\]                                    
  done clear
  B)
   \[0\]
  done clear
  C)
   \[5\]                                    
  done clear
  D)
   \[4\]
  done clear
  View Answer play_arrow

• question_answer137) If \[A=\left[ \begin{matrix}    0 & x & 16  \\    x & 5 & 7  \\    0 & 9 & x  \\ \end{matrix} \right]\] is singular, then the possible values of x are
  A)
   \[0,12,-12\]    
  done clear
  B)
   \[0,1,-1\]
  done clear
  C)
   \[0,4,-4\]      
  done clear
  D)
   \[0,5,-5\]
  done clear
  View Answer play_arrow

• question_answer138) If \[A=\left[ \begin{matrix}   1 & -2 & 2  \\    0 & 2 & -3  \\    3 & -2 & 4  \\ \end{matrix} \right]\] then A . adj  is equal to
  A)
   \[\left[ \begin{matrix}    5 & 1 & 1  \\    1 & 5 & 1  \\    1 & 1 & 5  \\ \end{matrix} \right]\]                   
  done clear
  B)
   \[\left[ \begin{matrix}    5 & 0 & 0  \\    0 & 5 & 0  \\    0 & 0 & 5  \\ \end{matrix} \right]\]
  done clear
  C)
   \[\left[ \begin{matrix}    8 & 0 & 0  \\    0 & 8 & 0  \\    0 & 0 & 8  \\ \end{matrix} \right]\]                   
  done clear
  D)
   \[\left[ \begin{matrix}    0 & 0 & 0  \\    0 & 0 & 0  \\    0 & 0 & 0  \\ \end{matrix} \right]\]
  done clear
  View Answer play_arrow

• question_answer139) If \[f:R\to R\] is defined by \[f(x)=|x|,\]then
  A)
   \[{{f}^{-1}}(x)=-x\]
  done clear
  B)
   \[{{f}^{-1}}(x)=\frac{1}{|x|}\]
  done clear
  C)
   the function \[{{f}^{-1}}(x)\] does not exist
  done clear
  D)
   \[{{f}^{-1}}(x)=\frac{1}{x}\]
  done clear
  View Answer play_arrow

• question_answer140) The value of \[\left| \begin{matrix}    x & p & q  \\    p & x & q  \\    p & q & x  \\ \end{matrix} \right|\] is
  A)
   \[x(x-p)(x-q)\]
  done clear
  B)
   \[(x-p)(x-q)(x+p+q)\]
  done clear
  C)
   \[(p-q)(x-q)(x-p)\]
  done clear
  D)
   \[pq(x-p)(x-q)\]
  done clear
  View Answer play_arrow

• question_answer141) The imaginary part of \[{{i}^{i}}\]is
  A)
  \[0\]                                     
  done clear
  B)
   \[1\]
  done clear
  C)
   \[2\]                                    
  done clear
  D)
   \[-1\]
  done clear
  View Answer play_arrow

• question_answer142) The amplitude of \[{{(1+i)}^{5}}\] is
  A)
   \[\frac{3\pi }{4}\]                                           
  done clear
  B)
   \[\frac{-3\pi }{4}\]
  done clear
  C)
   \[\frac{-5\pi }{4}\]                         
  done clear
  D)
   \[\frac{5\pi }{4}\]
  done clear
  View Answer play_arrow

• question_answer143) ABC is triangle. G is the centroid. D is the mid point of BC. If \[A=(2,3)\] and \[G=(7,5),\] then the point D is
  A)
   \[\left( \frac{9}{2},4 \right)\]                    
  done clear
  B)
   \[\left( \frac{19}{2},6 \right)\]
  done clear
  C)
   \[\left( \frac{11}{2},\frac{11}{2} \right)\]                             
  done clear
  D)
   \[\left( 8,\frac{13}{2} \right)\]
  done clear
  View Answer play_arrow

• question_answer144) \[\underset{x\to 1}{\mathop{\lim }}\,\,\frac{\tan ({{x}^{2}}-1)}{x-1}\]is equal to
  A)
   \[2\]                                    
  done clear
  B)
   \[\frac{1}{2}\]
  done clear
  C)
   \[-2\]                                   
  done clear
  D)
   \[\frac{-1}{2}\]
  done clear
  View Answer play_arrow

• question_answer145) If \[y={{2}^{\log x}},\] then \[\frac{dy}{dx}\] is
  A)
   \[\frac{{{2}^{\log x}}}{\log 2}\]                 
  done clear
  B)
   \[{{2}^{\log x}}.\log 2\]
  done clear
  C)
   \[\frac{{{2}^{\log x}}}{x}\]                          
  done clear
  D)
   \[\frac{{{2}^{\log x}}.\log 2}{x}\]
  done clear
  View Answer play_arrow

• question_answer146) \[{{7}^{2{{\log }_{7}}5}}\]is equal to
  A)
   \[{{\log }_{7}}35\]                          
  done clear
  B)
   \[5\]
  done clear
  C)
   \[25\]                                  
  done clear
  D)
   \[{{\log }_{7}}25\]
  done clear
  View Answer play_arrow

• question_answer147) In the group \[(G,\,\,{{\otimes }_{15}}),\] where \[G=\{3,6,9,12\},\]\[{{\otimes }_{15}}\]is multiplication modulo 15, the identity element is
  A)
   \[3\]                                    
  done clear
  B)
   \[6\]
  done clear
  C)
   \[12\]                                  
  done clear
  D)
   \[9\]
  done clear
  View Answer play_arrow

• question_answer148) A group \[(G,*)\] has 10 elements. The minimum number of elements of G, which are their own inverses is
  A)
   \[2\]                                    
  done clear
  B)
   \[1\]
  done clear
  C)
   \[9\]                                    
  done clear
  D)
   \[0\]
  done clear
  View Answer play_arrow

• question_answer149) If  \[\vec{a}\] and \[\vec{b}\] are  vectors such that \[|\vec{a}+\vec{b}|\]\[=|\vec{a}-\vec{b}|,\] then the angle between \[\vec{a}\] and \[\vec{b}\]is
  A)
   \[{{120}^{o}}\]                                
  done clear
  B)
   \[{{60}^{o}}\]
  done clear
  C)
   \[{{90}^{o}}\]                                   
  done clear
  D)
   \[{{30}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer150) \[\frac{3{{x}^{2}}+1}{{{x}^{2}}-6x+8}\]is equal to
  A)
   \[3+\frac{49}{2(x-4)}-\frac{13}{2(x-2)}\]
  done clear
  B)
   \[\frac{49}{2(x-4)}-\frac{13}{2(x-2)}\]
  done clear
  C)
   \[\frac{-49}{2(x-4)}-\frac{13}{2(x-2)}\]
  done clear
  D)
   \[\frac{49}{2(x-4)}+\frac{13}{2(x-2)}\]
  done clear
  View Answer play_arrow

• question_answer151) The number of common tangents to the circles  \[{{x}^{2}}+{{y}^{2}}=4\]and \[{{x}^{2}}+{{y}^{2}}-6x-8y-24=0\]is,
  A)
   \[3\]                                    
  done clear
  B)
   \[4\]
  done clear
  C)
   \[2\]                                    
  done clear
  D)
   \[1\]
  done clear
  View Answer play_arrow

• question_answer152) If \[3x+y+k=0\] is a tangent to the circle \[{{x}^{2}}+{{y}^{2}}=10,\] the values of k are,
  A)
   \[\pm 7\]                                           
  done clear
  B)
   \[\pm 5\]
  done clear
  C)
   \[\pm 10\]                                        
  done clear
  D)
   \[\pm 9\]
  done clear
  View Answer play_arrow

• question_answer153) The negation of the proposition "If 2 is prime, then 3 is odd" is
  A)
   if 2 is not prime, then 3 is not odd
  done clear
  B)
   2 is prime and 3 is. not odd
  done clear
  C)
   2 is not prime and 3 is odd
  done clear
  D)
   if 2 is not prime, then 3 is odd
  done clear
  View Answer play_arrow

• question_answer154) The equation of two circles which touch the Y-axis at \[(0,3)\] and make an intercept of 8 unit on X-axis are
  A)
   \[{{x}^{2}}+{{y}^{2}}\pm 10x-6y+9=0\]
  done clear
  B)
   \[{{x}^{2}}+{{y}^{2}}\pm 6x-10y+9=0\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}-8x\pm 10y+9=0\]
  done clear
  D)
   \[{{x}^{2}}+{{y}^{2}}+10x\pm 6y+9=0\]
  done clear
  View Answer play_arrow

• question_answer155) The orthocenter of the triangle with vertices \[A(0,0),\] \[B\left( 0,\frac{3}{2} \right),\] \[C(-5,0)\]is
  A)
   \[\left( \frac{5}{2},\frac{3}{4} \right)\]                  
  done clear
  B)
   \[\left( \frac{-5}{2},\frac{3}{4} \right)\]
  done clear
  C)
   \[\left( -5,\frac{3}{2} \right)\]                   
  done clear
  D)
   \[(0,0)\]
  done clear
  View Answer play_arrow

• question_answer156) \[{{x}^{2}}+{{y}^{2}}-6x-6y+4=0,\] \[{{x}^{2}}+{{y}^{2}}-2x\]\[-4y+3=0,\] \[{{x}^{2}}+{{y}^{2}}+2kx+2y+1=0\]. If the  radical centre of the above three circles exists, then which of the following cannot be the value off k?
  A)
   \[2\]                                    
  done clear
  B)
   \[1\]
  done clear
  C)
                   \[5\]                                    
  done clear
  D)
   \[4\]
  done clear
  View Answer play_arrow

• question_answer157) If the circles \[{{x}^{2}}+{{y}^{2}}-2x-2y-7=0\]and \[{{x}^{2}}+{{y}^{2}}+4x+2y+k=0\] cut orthogonally, then the length of the common chord of the  circles is                                               
  A)
   \[\frac{12}{\sqrt{13}}\]                                
  done clear
  B)
   \[2\]
  done clear
  C)
   \[5\]                                    
  done clear
  D)
   \[8\]
  done clear
  View Answer play_arrow

• question_answer158) The coordinates of the foot of the  perpendicular drawn from the point \[(3,4)\] on the line \[2x+y-7=0\] is
  A)
   \[\left( \frac{9}{5},\frac{17}{5} \right)\]
  done clear
  B)
   \[(1,5)\]
  done clear
  C)
   \[(5,1)\]
  done clear
  D)
  \[(1,-5)\]
  done clear
  View Answer play_arrow

• question_answer159) The area enclosed by the pair of the lines \[xy=0,\] the line \[x-4=0\]and \[y+5=0\] is                        
  A)
   \[20\,sq\,unit\]
  done clear
  B)
   \[10\,sq\,unit\]
  done clear
  C)
   \[\frac{5}{4}\,sq\,unit\]
  done clear
  D)
   \[0\,sq\,unit\]
  done clear
  View Answer play_arrow

• question_answer160) If the area of the auxiliary circle of the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] \[(a>b)\] is twice the area of the                                           ellipse, then the eccentricity of the ellipse is
  A)
   \[\frac{1}{\sqrt{2}}\]                                    
  done clear
  B)
   \[\frac{\sqrt{3}}{2}\]
  done clear
  C)
                   \[\frac{1}{\sqrt{3}}\]                                    
  done clear
  D)
   \[\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer161) The range in which \[y=-{{x}^{2}}+6x-3\] is  increasing is                                                
  A)
   \[x<3\]                                                         
  done clear
  B)
   \[x>3\]                                                     
  done clear
  C)
   \[7<x<8\]                                                   
  done clear
  D)
   \[5<x<6\]
  done clear
  View Answer play_arrow

• question_answer162) The value of the integral\[\int_{0}^{\pi /2}{({{\sin }^{100}}x-{{\cos }^{100}}x)dx}\]is
  A)
   \[\frac{1}{100}\]
  done clear
  B)
                   \[\frac{100!}{{{(100)}^{100}}}\]
  done clear
  C)
                   \[\frac{\pi }{100}\]
  done clear
  D)
                   \[0\]
  done clear
  View Answer play_arrow

• question_answer163) OA and OB are two roads enclosing an angle of\[{{120}^{o}}\]. X and y start from ?O' at the same time. X travels along OA with a speed of 4 km/h and Y travels along OB with a speed of 3 km/h. The rate at which the shortest distance between X and V is increasing after \[1\text{ }h\]is
  A)
   \[\sqrt{37}km/h\]
  done clear
  B)
   \[37m/h\]
  done clear
  C)
   \[13km/h\]     
  done clear
  D)
   \[\sqrt{13}km/h\]
  done clear
  View Answer play_arrow

• question_answer164) If  \[k\int_{0}^{1}{x}.f(3x)dx=\int_{0}^{3}{t.f(t)dt,}\] then the value of k is
  A)
   \[9\]                                    
  done clear
  B)
   \[3\]
  done clear
  C)
   \[\frac{1}{9}\]                                  
  done clear
  D)
   \[\frac{1}{3}\]
  done clear
  View Answer play_arrow

• question_answer165) The value of \[\int{\frac{1}{1+\cos \,8\,x}}dx\]is
  A)
   \[\frac{\tan \,2x}{8}+c\]                              
  done clear
  B)
   \[\frac{\tan \,8x}{8}+c\]
  done clear
  C)
   \[\frac{\tan \,4x}{4}+c\]
  done clear
  D)
   \[\frac{\tan \,4x}{8}+c\]
  done clear
  View Answer play_arrow

• question_answer166) If \[{{\sec }^{-1}}\left( \frac{1+x}{1-y} \right)=a,\]then \[\frac{dy}{dx}\] is
  A)
   \[\frac{y-1}{x+1}\]                         
  done clear
  B)
   \[\frac{y+1}{x-1}\]
  done clear
  C)
   \[\frac{x-1}{y-1}\]                          
  done clear
  D)
   \[\frac{x-1}{y+1}\]
  done clear
  View Answer play_arrow

• question_answer167) If \[y={{\cos }^{2}}\frac{3x}{2}-{{\sin }^{2}}\frac{3x}{2},\] then \[\frac{{{d}^{2}}y}{d{{x}^{2}}}\]is
  A)
   \[-3\sqrt{1-{{y}^{2}}}\]                
  done clear
  B)
   \[9y\]
  done clear
  C)
   \[-9y\]                                
  done clear
  D)
   \[3\sqrt{1-{{y}^{2}}}\]
  done clear
  View Answer play_arrow

• question_answer168) If the function  \[f(x)=\left\{ \begin{matrix}    \frac{1-\cos \,\,x}{{{x}^{2}}} & for & x\ne 0  \\    k & for & x=0  \\ \end{matrix} \right.\]is  continuous at \[x=0,\] then the value of k is
  A)
   \[1\]                                    
  done clear
  B)
   \[0\]
  done clear
  C)
   \[\frac{1}{2}\]                                  
  done clear
  D)
   \[-1\]                   
  done clear
  View Answer play_arrow

• question_answer169) If \[1,\,\omega ,\,{{\omega }^{2}}\] are the cube roots of unity then \[(1+\omega )(1+{{\omega }^{2}})(1+{{\omega }^{4}})(1+{{\omega }^{8}})\]is equal to
  A)
   \[1\]                                    
  done clear
  B)
   \[0\]
  done clear
  C)
   \[{{\omega }^{2}}\]                                       
  done clear
  D)
   \[\omega \]
  done clear
  View Answer play_arrow

• question_answer170) If  \[{{x}^{x}}={{y}^{y}},\]then \[\frac{dy}{dx}\]is
  A)
   \[-\frac{y}{x}\]                                
  done clear
  B)
   \[-\frac{x}{y}\]
  done clear
  C)
   \[1+\log \left( \frac{x}{y} \right)\]                          
  done clear
  D)
   \[\frac{1+\log x}{1+\log y}\]
  done clear
  View Answer play_arrow

• question_answer171) The value of \[\int{{{e}^{x}}({{x}^{5}}+5{{x}^{4}}}+1).dx\]is
  A)
   \[{{e}^{x}}.{{x}^{5}}+c\]                              
  done clear
  B)
   \[{{e}^{x}}.{{x}^{5}}+{{e}^{x}}+c\]
  done clear
  C)
   \[{{e}^{x+1}}.{{x}^{5}}+c\]                         
  done clear
  D)
   \[5{{x}^{4}}.{{e}^{x}}+c\]
  done clear
  View Answer play_arrow

• question_answer172) The value of \[\int{\frac{{{x}^{2}}+1}{{{x}^{2}}-1}}dx\] is
  A)
   \[\log \left( \frac{x-1}{x+1} \right)+c\]
  done clear
  B)
   \[\log \left( \frac{x+1}{x-1} \right)+c\]
  done clear
  C)
   \[x+\log \left( \frac{x-1}{x+1} \right)+c\]
  done clear
  D)
   \[\log ({{x}^{2}}-1)+c\]
  done clear
  View Answer play_arrow

• question_answer173) The area bounded by the curve \[x=4-{{y}^{2}}\]and the Y-axis is
  A)
   \[16\text{ }sq\text{ }unit\]
  done clear
  B)
   \[32\text{ }sq\text{ }unit\]
  done clear
  C)
   \[\frac{32}{3}\text{ }sq\text{ }unit~~\]  
  done clear
  D)
   \[\frac{16}{3}sq\text{ }unit\]
  done clear
  View Answer play_arrow

• question_answer174) The differential equation of the family of straight lines whose slope is equal to y-intercept is
  A)
   \[(x+1)\frac{dy}{dx}-y=0\]
  done clear
  B)
   \[(x+1)\frac{dy}{dx}+y=0\]
  done clear
  C)
   \[\frac{dy}{dx}=\frac{x-1}{y-1}\]
  done clear
  D)
   \[\frac{dy}{dx}=\frac{x+1}{y+1}\]
  done clear
  View Answer play_arrow

• question_answer175) The order and degree of the differential equation \[{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{5}} \right]}^{\frac{1}{3}}}=\frac{{{d}^{2}}y}{d{{x}^{2}}}\] are respectively
  A)
   \[1,5\]                                 
  done clear
  B)
   \[2,1\]
  done clear
  C)
   \[2,5\]                                 
  done clear
  D)
   \[2,3\]
  done clear
  View Answer play_arrow

• question_answer176) The point on the curve \[{{y}^{2}}=x,\]the tangent at which makes an angle \[{{45}^{o}}\] with -X-axis is
  A)
   \[\left( \frac{1}{4},\frac{1}{2} \right)\]                  
  done clear
  B)
   \[\left( \frac{1}{2},\frac{1}{4} \right)\]
  done clear
  C)
   \[\left( \frac{1}{2},\frac{-1}{2} \right)\]                
  done clear
  D)
   \[\left( \frac{1}{2},\frac{1}{2} \right)\]
  done clear
  View Answer play_arrow

• question_answer177) The length of the sub tangent to the curve \[{{x}^{2}}{{y}^{2}}={{a}^{4}}\] at \[(-a,a)\] is
  A)
   \[\frac{a}{2}\]                                  
  done clear
  B)
   \[2a\]
  done clear
  C)
   \[a\]                                    
  done clear
  D)
   \[\frac{a}{3}\]
  done clear
  View Answer play_arrow

• question_answer178) The number of positive divisors of \[252\] is
  A)
   \[9\]                                    
  done clear
  B)
   \[5\]
  done clear
  C)
   \[18\]                                  
  done clear
  D)
   \[10\]
  done clear
  View Answer play_arrow

• question_answer179) The remainder obtained when \[{{5}^{124}}\]is divided by \[124\] is
  A)
   \[5\]                                    
  done clear
  B)
   \[0\]
  done clear
  C)
   \[2\]                                    
  done clear
  D)
   \[1\]
  done clear
  View Answer play_arrow

• question_answer180) Which of the following is not a group with respect to the given operation?
  A)
   The set of even integers under addition
  done clear
  B)
   The set, of odd integers under addition
  done clear
  C)
   \[\{0\}\] under addition
  done clear
  D)
   \[\{1,-1\}\]under multiplication
  done clear
  View Answer play_arrow