JEE Main & Advanced Sample Paper

done JEE Main Sample Paper-44 Total Questions - 90   

• question_answer1)
  A car starting from rest, accelerates at constant rate \[\alpha \] for some time after which it decelerates at constant rate \[\beta \]to come to rest. If the total time of journey is t, the maximum velocity attained by the car is given by
  A)
   \[\frac{\alpha \beta }{\alpha +\beta }t\]                   
  done clear
  B)
   \[\frac{\alpha \beta }{\alpha -\beta }t\]
  done clear
  C)
   \[\sqrt{\alpha \beta }\,t\]                    
  done clear
  D)
   \[\frac{\alpha +\beta }{2}t\]
  done clear
  View Answer play_arrow

• question_answer2)
  Rain is falling vertically with a speed of\[4\,m{{s}^{-1}}\]. After some time, wind starts blowing with a speed of \[3\,m{{s}^{-1}}\]in the north to south direction. In order to protect himself from rain, a man standing on ground should hold his umbrella at an angle \[\theta \] given by
  A)
   \[\theta ={{\tan }^{-1}}\,\left( \frac{3}{4} \right)\] with the vertical towards South
  done clear
  B)
   \[\theta ={{\tan }^{-1}}\,\left( \frac{3}{4} \right)\] with the vertical towards North
  done clear
  C)
   \[\theta ={{\cot }^{-1}}\,\left( \frac{3}{4} \right)\] with the vertical towards South
  done clear
  D)
   \[\theta ={{\cot }^{-1}}\,\left( \frac{3}{4} \right)\] with the vertical towards North
  done clear
  View Answer play_arrow

• question_answer3)
  Two wooden blocks are moving on a smooth horizontal surface such that the mass m remains stationary with respect to block of mass M as shown in the figure. The magnitude of force P is 
  A)
   \[(M+m)g\,\tan \,\beta \]        
  done clear
  B)
   \[g\,\tan \,\beta \]
  done clear
  C)
   \[mg\,\cos \,\beta \]                 
  done clear
  D)
   \[(M+m)\,g\,\cos ec\,\beta \]
  done clear
  View Answer play_arrow

• question_answer4)
  A rigid body is made of three identical thin rods, each of length L fastened together in the form of letter H. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H shaped body. The body is allowed to fall from rest to position in which the plane of H is horizontal. What is the angular speed of the body when the plane of H is vertical?              
  A)
   \[\sqrt{\frac{g}{L}}\]                        
  done clear
  B)
   \[\frac{1}{2}\sqrt{\frac{g}{L}}\]
  done clear
  C)
   \[\frac{3}{2}\sqrt{\frac{g}{L}}\]                 
  done clear
  D)
   \[2\sqrt{\frac{g}{L}}\]
  done clear
  View Answer play_arrow

• question_answer5)
  A wooden ball of density D is immersed in water of density d to a depth h below the uppermost surface of water and then released. Up to what height will the ball jump out of water?
  A)
   \[\frac{d}{D}h\]                                
  done clear
  B)
   \[\left( \frac{d}{D}-1 \right)h\]
  done clear
  C)
   \[h\]                            
  done clear
  D)
   Zero
  done clear
  View Answer play_arrow

• question_answer6)
  Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative.                                             
  A)
   \[{{V}_{1}}={{V}_{2}},\,\,{{V}_{3}}={{V}_{4}}\] and \[{{V}_{2}}>{{V}_{3}}\]
  done clear
  B)
   \[{{V}_{1}}={{V}_{2}},\,\,{{V}_{3}}={{V}_{4}}\] and \[{{V}_{2}}<{{V}_{3}}\]
  done clear
  C)
   \[{{V}_{1}}={{V}_{2}}={{V}_{3}}={{V}_{4}}\]
  done clear
  D)
   \[{{V}_{4}}>{{V}_{3}}>{{V}_{2}}>{{V}_{1}}\]
  done clear
  View Answer play_arrow

• question_answer7)
  A parallel plate capacitor of capacity \[100\mu \]F is charged by a battery of 50 volts. The battery remains connected and if the plates of the capacitor are separated, so that the distance between them becomes double the original distance, the additional energy given to the battery of the capacitor in joules is
  A)
   \[\frac{125\times {{10}^{-3}}}{2}\]                     
  done clear
  B)
   \[\frac{12.5\times {{10}^{-3}}}{2}\]
  done clear
  C)
   \[\frac{1.25\times {{10}^{-3}}}{2}\]                    
  done clear
  D)
   \[\frac{0.125\times {{10}^{-3}}}{2}\]
  done clear
  View Answer play_arrow

• question_answer8)
  The ratio of the resistance of conductor at temperature \[15{}^\circ C\] to its resistance at temperature \[37.5{}^\circ C\] is 4:5. The temperature coefficient of resistance of the conductor is
  A)
   \[\frac{1}{25}{{\,}_{o}}{{C}^{-1}}\]                 
  done clear
  B)
   \[\frac{1}{50}{{\,}_{o}}{{C}^{-1}}\]
  done clear
  C)
   \[\frac{1}{80}{{\,}_{o}}{{C}^{-1}}\]                 
  done clear
  D)
   \[\frac{1}{75}{{\,}_{o}}{{C}^{-1}}\]     
  done clear
  View Answer play_arrow

• question_answer9)
  The work functions for metal A,B and C are 1.92 eV, 2.0 eV and 5 eV respectively. According to Einstein's equation, the metals which will emit photoelectrons for a radiation of wavelength \[4000\,\overset{\text{o}}{\mathop{\text{A}}}\,\]is/are
  A)
   only A                                  
  done clear
  B)
   A and B
  done clear
  C)
   All the three metals                  
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  After 1 a and 2 \[\beta \]-emissions
  A)
   mass number reduces by 6            
  done clear
  B)
   mass number reduces by 4
  done clear
  C)
   mass number reduces by 2            
  done clear
  D)
   mass number remains unchanged
  done clear
  View Answer play_arrow

• question_answer11)
  If the input and output resistances in a common-base amplifier circuit are \[400\,\,\Omega \] and \[400\,\,k\,\Omega ,\] respectively. What is the voltage amplification when the emitter current is 2 mA and current gain, \[\alpha =0.98\]?
  A)
   9.8                             
  done clear
  B)
   98                
  done clear
  C)
   980                            
  done clear
  D)
   9800
  done clear
  View Answer play_arrow

• question_answer12)
  A ball is projected vertically upwards from the top of a tower of height 35 m with an initial velocity \[30\,\,m{{s}^{-1}}\]. How much time will it take to reach the ground? (take g =10 ms-2)
  A)
   1s                               
  done clear
  B)
   7 s             
  done clear
  C)
   5 s                  
  done clear
  D)
   3 s
  done clear
  View Answer play_arrow

• question_answer13)
  A monkey climbs up and another monkey moving down a rope hanging from a tree with some uniform acceleration separately. If the respective masses of monkey are in the ratio2 : 3, the common acceleration must be
  A)
   \[g/5\,\,m{{s}^{-2}}\]                     
  done clear
  B)
   \[6g\,\,m{{s}^{-2}}\]
  done clear
  C)
   \[g/2\,\,m{{s}^{-2}}\]                     
  done clear
  D)
   \[g\,\,m{{s}^{-2}}\]
  done clear
  View Answer play_arrow

• question_answer14)
  A simple pendulum of length \[l\] is moved aside till the string makes an angle \[{{\theta }_{1}}\], with the vertical. If the acceleration due to gravity is g, the kinetic energy of the bob when the string is inclined at \[{{\theta }_{2}}\] to the vertical is
  A)
   \[mgl\,\cos \,\,({{\theta }_{1}}-{{\theta }_{2}})\]    
  done clear
  B)
   \[mgl\,\,(\cos \,{{\theta }_{2}}-\cos {{\theta }_{1}})\]
  done clear
  C)
   \[mgl\,\,(\cos \,{{\theta }_{1}}-\cos \,{{\theta }_{2}})\]
  done clear
  D)
   \[mgl\,\,\sin \,({{\theta }_{1}}-{{\theta }_{2}})\]
  done clear
  View Answer play_arrow

• question_answer15)
  A rigid body rotates about a fixed axis with variable angular velocity equal to \[(\alpha -\beta t)\] at time t where, \[\alpha \] and \[\beta \]are constants. The angle through which it rotates before it comes to rest is
  A)
   \[\frac{{{\alpha }^{2}}}{2\beta }\]                       
  done clear
  B)
   \[\frac{{{\alpha }^{2}}-{{\beta }^{2}}}{2\alpha }\]
  done clear
  C)
   \[\frac{{{\alpha }^{2}}-{{\beta }^{2}}}{2\beta }\]                    
  done clear
  D)
   \[\frac{\alpha (\alpha -\beta )}{2}\]
  done clear
  View Answer play_arrow

• question_answer16)
  If a rocket is fixed with a speed, \[v=2\sqrt{gR}\] near the earth's surface and coasts upwards, its speed in the interstellar space is
  A)
   \[4\sqrt{gR}\]             
  done clear
  B)
   \[\sqrt{2gR}\]
  done clear
  C)
   \[\sqrt{gR}\]               
  done clear
  D)
   \[\sqrt{4gR}\]
  done clear
  View Answer play_arrow

• question_answer17)
  A beaker full of hot water is kept in a room. If it cools from \[80{}^\circ C\] to \[75{}^\circ C\] in \[{{t}_{1}}\] min, from \[75{}^\circ C\] to \[70{}^\circ C\] in la min and from \[70{}^\circ C\] to \[65{}^\circ C\] in \[{{t}_{3}}\] min, then
  A)
  \[{{t}_{1}}={{t}_{2}}={{t}_{3}}\]                     
  done clear
  B)
  \[{{t}_{1}}<{{t}_{2}}={{t}_{3}}\]
  done clear
  C)
  \[{{t}_{1}}<{{t}_{2}}<{{t}_{3}}\]                     
  done clear
  D)
   \[{{t}_{1}}>{{t}_{2}}>{{t}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer18)
  A particle of mass 2 kg is moving along X-axis with a velocity of 5 m/s. It crosses the origin at t =0.A time-varying force whose variation is as shown in the figure starts acting on particle at \[t=1s\]. For this situation, mark out the correct statement(s).  
  A)
   The particle will come to rest instantaneously, at t = 6.8 s.            
  done clear
  B)
   The final velocity of the particle will be 18m/s,               
  done clear
  C)
   Work done by the force on the particle is 375 J.         
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer19)
  A solid sphere of radius R, made up of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. A mass less piston of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere is
  A)
   \[\frac{Mg}{AK}\]                             
  done clear
  B)
   \[\frac{Mg}{3AK}\]
  done clear
  C)
   \[\frac{3Mg}{AK}\]               
  done clear
  D)
   \[\frac{Mg}{2AK}\]
  done clear
  View Answer play_arrow

• question_answer20)
  If the gravitational force had varied as \[{{r}^{-5/2}}\] instead of \[{{r}^{-2}}\], the potential energy of a particle at a distance \[r\]from the centre of the earth would be proportional to
  A)
   \[{{r}^{-1}}\]                                 
  done clear
  B)
   \[{{r}^{-2}}\]
  done clear
  C)
   \[{{r}^{-3/2}}\]                              
  done clear
  D)
   \[{{r}^{-5/2}}\]
  done clear
  View Answer play_arrow

• question_answer21)
  .The Zener diode normally operates under reverse bias condition, the major use of this fact is in the applications where, we require
  A)
   large value of current
  done clear
  B)
   a constant voltage
  done clear
  C)
   a current that is increasing without any change in applied voltage
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer22)
  For a hydrogen like atom, if electron moves from lower energy level to higher energy levels, then which of the following statement is correct?
  A)
   KE and PE both increases              
  done clear
  B)
   KE and PE both decreases
  done clear
  C)
   KE increases while PE decreases        
  done clear
  D)
   KE decreases while PE increases
  done clear
  View Answer play_arrow

• question_answer23)
  The displacement, \[x\]of aspartic leas a function of time t is shown in the figure. The figure indicates
  A)
   the particle starts with a certain velocity, but the motion is related, finally the particle stops               
  done clear
  B)
   the velocity of the particle is constant throughout                       
  done clear
  C)
   the acceleration of the particle is constant throughout              
  done clear
  D)
   the particle starts with certain velocity and then its motion is accelerated
  done clear
  View Answer play_arrow

• question_answer24)
  A solid cylinder is performing pure rolling motion on a moving platform as shown. Which of the relation between, \[{{V}_{0}},\,\,\omega ,\,\,R\] and \[v\] is correct?
  A)
   \[{{v}_{0}}=R\omega \]                  
  done clear
  B)
  \[v={{v}_{0}}\,+R\omega \]
  done clear
  C)
   \[v={{v}_{0}}-R\omega \]               
  done clear
  D)
   \[v={{v}_{0}}\]
  done clear
  View Answer play_arrow

• question_answer25)
  In the circuit shown, the current in \[3\,\,\Omega \]resistor is
  A)
   1 A     
  done clear
  B)
   \[\frac{30}{7}A\]
  done clear
  C)
   \[\frac{5}{7}A\]                    
  done clear
  D)
   Information insufficient
  done clear
  View Answer play_arrow

• question_answer26)
  An elliptical cavity is curved within a perfect conductor. A positive charge q is placed at the centre of the cavity. The points A and B are on the cavity surface as shown in the figure below.                      
  A)
   electric field near A in the cavity = electric field near B in the cavity
  done clear
  B)
   charge density at A = charge density at B
  done clear
  C)
   potential at A = potential at B
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer27)
  In a hydroelectric installation, a turbine delivers 1500 HP to a generator, which in turn converts 80% of the mechanical energy into electrical energy. Under these conditions what current does the generator delivers at a terminal potential difference of 2000 V?
  A)
   447.6 A                      
  done clear
  B)
   559.5 A          
  done clear
  C)
   4A                              
  done clear
  D)
   800 A
  done clear
  View Answer play_arrow

• question_answer28)
  A student in a hot air balloon ascends vertically at constant speed. Consider the following four forces that arise in this situation

  \[{{F}_{1}}\]: The weight of the hot air balloon

  \[{{F}_{2}}\]: The weight of the student

  \[{{F}_{3}}\]: The force of the student pulling on the earth

  \[{{F}_{4}}\]: The force of the hot air balloon pulling on the student

  Which of the following relationships concerning the forces or their magnitudes is true?
  A)
   \[{{F}_{4}}>{{F}_{2}}\]  
  done clear
  B)
   \[{{F}_{3}}=-{{F}_{4}}\]
  done clear
  C)
   \[{{F}_{2}}>{{F}_{1}}\]  
  done clear
  D)
   \[{{F}_{2}}=-{{F}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer29)
  There are some passengers in a stationary railway compartment. The centre of mass of compartment itself (without passengers) is\[{{c}_{1}},\] while centre of mass of compartment plus the passengers is\[{{c}_{2}}\]. If the passengers move inside the compartment [The surface on which compartment is at rest is smooth]
  A)
   both \[{{c}_{1}}\] and \[{{c}_{2}}\] will move w.r.t. ground
  done clear
  B)
   neither \[{{c}_{1}}\] nor \[{{c}_{2}}\] will move w.r.t. ground
  done clear
  C)
   \[{{c}_{1}}\] will move but \[{{c}_{2}}\] will remain stationary w.r.t. the ground
  done clear
  D)
   \[{{c}_{2}}\] will move but \[{{c}_{1}}\] will remain stationary w.r.t. the ground
  done clear
  View Answer play_arrow

• question_answer30)
  A chain of mass m and length \[l\] lies on the surface of a rough sphere of radius \[R\,(>l)\] such that one end of chain is at the top most point of sphere. The chain is held at rest because of friction. The gravitational potential energy of the chain in this position (considering the horizontal diameter of sphere as reference level for gravitational potential energy), is
  A)
   \[\frac{mg{{R}^{2}}}{l}\]             
  done clear
  B)
   \[\frac{mg{{R}^{2}}}{l}\sin \,\left( \frac{l}{R} \right)\]
  done clear
  C)
   \[\frac{mg{{R}^{2}}}{l}\cos \,\left( \frac{l}{R} \right)\]   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  Give the stability of following carbocations.

  (I) \[C{{H}_{3}}-{{\underset{\begin{smallmatrix}  | \\  C{{H}_{3}} \end{smallmatrix}}{\overset{\begin{smallmatrix}  C{{H}_{3}} \\  | \end{smallmatrix}}{\mathop{{{C}^{\oplus }}}}}\,}^{{}}}\]	(II)
  (III)\[C{{H}_{3}}-{{\underset{\begin{smallmatrix}  | \\  {{C}_{2}}{{H}_{5}} \end{smallmatrix}}{\overset{\begin{smallmatrix}  {{C}_{2}}{{H}_{5}} \\  | \end{smallmatrix}}{\mathop{{{C}^{\oplus }}}}}\,}^{{}}}\]	(IV)\[{{C}_{2}}{{H}_{5}}\,-{{\underset{\begin{smallmatrix}  | \\  {{C}_{2}}{{H}_{5}} \end{smallmatrix}}{\overset{\begin{smallmatrix}  {{C}_{2}}{{H}_{5}} \\  | \end{smallmatrix}}{\mathop{{{C}^{\oplus }}}}}\,}^{{}}}\]

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

• question_answer32)
    Which of the following will allow free rotation about double bond?
  A)
       
  done clear
  B)
  
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer33)
  The ratio of ionization energy of H and \[B{{e}^{3+}}\]is
  A)
  1 : 1
  done clear
  B)
  1 : 3
  done clear
  C)
  1 : 9
  done clear
  D)
  1 : 16
  done clear
  View Answer play_arrow

• question_answer34)
  The shape of the molecule \[XeO{{F}_{2}}\] is
  A)
  Tetrahedral
  done clear
  B)
  square pyramidal
  done clear
  C)
  T-shape          
  done clear
  D)
   square planar
  done clear
  View Answer play_arrow

• question_answer35)
  Equal masses of ethane and hydrogen are mixed in an empty container at \[25{}^\circ C\]. The fraction of the total pressure exerted by hydrogen is
  A)
   1 : 2                           
  done clear
  B)
   1 : 1            
  done clear
  C)
   1 : 16                         
  done clear
  D)
   15 : 16
  done clear
  View Answer play_arrow

• question_answer36)

  \[S+\frac{3}{2}{{O}_{2}}\xrightarrow{\,}\,S{{O}_{3}}^{+}y\,S{{O}_{2}}\,\,2x\,\,kcal\]

  \[S{{O}_{2}}+\frac{1}{2}\,{{O}_{2}}\to \,\,S{{O}_{3}}+y\,kcal\]

  Find out the heat of formation of \[S{{O}_{2}}\].
  A)
   \[y-2x\]                       
  done clear
  B)
   \[2x-y\]
  done clear
  C)
   \[x+y\]                       
  done clear
  D)
   \[\frac{2x}{y}\]
  done clear
  View Answer play_arrow

• question_answer37)
  On adding 60 g of water to an oleum sample, 740 g of \[{{H}_{2}}S{{O}_{4}}\] are obtained. The strength of  given oleum is
  A)
   103.8%         
  done clear
  B)
   105.9%         
  done clear
  C)
   108.8%                      
  done clear
  D)
   110.5%
  done clear
  View Answer play_arrow

• question_answer38)
  Argon gas taken in a closed vessel was heated from \[-13{}^\circ C\] to \[13{}^\circ C\], the percentage increase in pressure inside the bulb is
  A)
   11%                           
  done clear
  B)
   10%           
  done clear
  C)
   100%                         
  done clear
  D)
   110%
  done clear
  View Answer play_arrow

• question_answer39)
  The number of peroxide linkages in \[{{P}_{4}}{{O}_{10}}\]is
  A)
   0                                
  done clear
  B)
   2                 
  done clear
  C)
   4                                
  done clear
  D)
   8
  done clear
  View Answer play_arrow

• question_answer40)
  For the \[2A(g)\xrightarrow{\,}\,3B(g),\]\[{{t}_{1/2}}=12\,\min \]. Initial pressure exerted by A is 640 mm of Hg. The pressure of the reaction mixture after the time period of 36 min will be
  A)
   560 mm Hg               
  done clear
  B)
   680 mm Hg      
  done clear
  C)
   920 mm Hg               
  done clear
  D)
   600 mm Hg
  done clear
  View Answer play_arrow

• question_answer41)
  The compound which may exhibit tautomerism is

  (I)	(II)
  (III)	(IV) \[C{{H}_{3}}-CH=CH-CHO\]

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

• question_answer42)
  The cation which gives a yellow precipitate with potassium chromate is
  A)
   \[NH_{4}^{+}\]                 
  done clear
  B)
   \[B{{a}^{2+}}\]
  done clear
  C)
   \[C{{a}^{2+}}\]                
  done clear
  D)
   \[N{{a}^{+}}\]
  done clear
  View Answer play_arrow

• question_answer43)
  Which of the following compounds is achiral?
  A)
   
  done clear
  B)
   \[C{{H}_{3}}-CHOHCN\]
  done clear
  C)
              
  done clear
  D)
    
  done clear
  View Answer play_arrow

• question_answer44)
  Which of the following complexes are inner-orbital complex and diamagnetic?
  A)
   \[{{[Fe{{(CN)}_{6}}]}^{4-}}\]    
  done clear
  B)
   \[{{[Fe{{({{H}_{2}}O)}_{6}}]}^{2+}}\]
  done clear
  C)
   \[{{[Cu{{(N{{H}_{3}})}_{6}}]}^{2+}}\]         
  done clear
  D)
   \[{{[Ni{{(CN)}_{6}}]}^{4-}}\]
  done clear
  View Answer play_arrow

• question_answer45)
  An ideal solution contains two volatile liquids \[A({{p}^{o}}=100\,\,torr)\]and \[B({{p}^{o}}=200\,\,torr)\]. If mixture contains 1 mole of A and 4 moles of B, then total vapour pressure of the distillate is
  A)
   150 torr                      
  done clear
  B)
   180 torr          
  done clear
  C)
   188.88 torr                 
  done clear
  D)
   198.88 torr
  done clear
  View Answer play_arrow

• question_answer46)
  The product formed in the reaction,
  A)
      
  done clear
  B)
   
  done clear
  C)
         
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer47)
  All the following substances react with water. The pair that gives the same gaseous product is
  A)
           
  done clear
  B)
   
  done clear
  C)
            
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer48)
  All the following substances react with water. The pair that gives the same gaseous product is
  A)
   K and \[K{{O}_{2}}\]                      
  done clear
  B)
   Na and \[N{{a}_{2}}{{O}_{2}}\]
  done clear
  C)
   \[Ca\] and \[Ca{{H}_{2}}\] 
  done clear
  D)
   \[Ba\] and \[Ba{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer49)
  For the reaction,\[2A(g)+B(g)\,\,C(g)+D(g);\]\[{{K}_{c}}={{10}^{12}}\]. If the initial moles of A, B, C and D are 2, 1,7 and 3 moles respectively in 1 L vessel, what is the equilibrium concentration of A ?
  A)
   \[4\times {{10}^{-4}}\]                  
  done clear
  B)
   \[2\times {{10}^{-4}}\]
  done clear
  C)
   \[{{10}^{-4}}\]                               
  done clear
  D)
   \[8\times {{10}^{-4}}\]
  done clear
  View Answer play_arrow

• question_answer50)
  A galvanic cell is set up from a zinc bar weighing 100g and 1.0 L of 1.0 M \[CuS{{O}_{4}}\] solution. How long would the cell run if it is assumed to deliver a steady current of 1.0 amp. (Atomic mass of Zn = 65)
  A)
   1.1 hr            
  done clear
  B)
   46 hr             
  done clear
  C)
   53.6 hr                       
  done clear
  D)
   24.00 hr
  done clear
  View Answer play_arrow

• question_answer51)
  How many effective \[N{{a}^{+}}\]and \[C{{l}^{-}}\]ions are present respectively in a unit cell of \[NaCl\] solid (Rock salt structure) if ions along line connecting opposite face centres are absent?
  A)
   3, 3                            
  done clear
  B)
  \[\frac{7}{2},\,4\]
  done clear
  C)
  \[\frac{7}{2},\,\,\frac{7}{2}\]            
  done clear
  D)
   \[4,\,\,\frac{7}{2}\]
  done clear
  View Answer play_arrow

• question_answer52)
  During the electro-osmosis of \[Fe{{(OH)}_{3}}\] sol
  A)
   sol particles move towards anode
  done clear
  B)
   sol particles move towards cathode
  done clear
  C)
   the dispersion medium moves towards anode
  done clear
  D)
   the dispersion medium moves towards cathode
  done clear
  View Answer play_arrow

• question_answer53)

  Direction: Solution of an acid and its anion (that is its conjugate base) or of a base and its common cation is buffer. On adding small amount of acid or base, the pH of solution changes very little (negligible change). The pH of buffer solution is determined as follows:

  ph of acidic in buffer \[=\,p{{K}_{a}}+\,\log \,\,\frac{[conjugate\,base]}{[acid]}\]

  \[pOH\] of basic buffer \[=p{{K}_{b}}+\log \,\frac{[conjugate\,\,acid]}{[base]}\]

  A buffer solution can work effectively provided the value of \[\frac{[conjugate\,\,base]}{[acid]}\] for acidic buffer or \[\frac{[conjugate\,\,acid]}{[acid]}\] for basic buffer lies within the range of 1 : 10 or 10 : 1.

  Calculate the pH of a solution made by adding 0.01 mole of HCI in 100 mL of a solution which is 0.2 M in \[N{{H}_{3}}\,(p{{K}_{b}}=4.74)\] and 0.3 M in \[NH_{4}^{+}\]. (Assuming no change in volume)
  A)
   5.34                           
  done clear
  B)
   8.66             
  done clear
  C)
   7.46                           
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer54)

  Direction: Solution of an acid and its anion (that is its conjugate base) or of a base and its common cation is buffer. On adding small amount of acid or base, the pH of solution changes very little (negligible change). The pH of buffer solution is determined as follows:

  ph of acidic in buffer \[=\,p{{K}_{a}}+\,\log \,\,\frac{[conjugate\,base]}{[acid]}\]

  \[pOH\] of basic buffer \[=p{{K}_{b}}+\log \,\frac{[conjugate\,\,acid]}{[base]}\]

  A buffer solution can work effectively provided the value of \[\frac{[conjugate\,\,base]}{[acid]}\] for acidic buffer or \[\frac{[conjugate\,\,acid]}{[acid]}\] for basic buffer lies within the range of 1 : 10 or 10 : 1.

  1 L of an aqueous solution contains 0.15 mole of \[C{{H}_{3}}COOH(p{{K}_{a}}=4.8)\] and 0.15 mole of\[C{{H}_{3}}COONa\]. After the addition of 0.05 mole of solid \[NaOH\] to this solution, the pH will be
  A)
   4.5                             
  done clear
  B)
   4.8                
  done clear
  C)
   5.1                             
  done clear
  D)
   5.4
  done clear
  View Answer play_arrow

• question_answer55)

  Direction: Solution of an acid and its anion (that is its conjugate base) or of a base and its common cation is buffer. On adding small amount of acid or base, the pH of solution changes very little (negligible change). The pH of buffer solution is determined as follows:

  ph of acidic in buffer \[=\,p{{K}_{a}}+\,\log \,\,\frac{[conjugate\,base]}{[acid]}\]

  \[pOH\] of basic buffer \[=p{{K}_{b}}+\log \,\frac{[conjugate\,\,acid]}{[base]}\]

  A buffer solution can work effectively provided the value of \[\frac{[conjugate\,\,base]}{[acid]}\] for acidic buffer or \[\frac{[conjugate\,\,acid]}{[acid]}\] for basic buffer lies within the range of 1 : 10 or 10 : 1.

  When a 20 mL of 0.08 M weak base BOH is titrated with 0.08 M HCI, the pH of the solution at the end point is 5. What will be the\[pOH\]if 10 mL of 0.04 M \[NaOH\] is added to the resulting solution? (Given, log 2 = 0.30 and log 3 = 0.48)
  A)
   5.40                           
  done clear
  B)
   5.88
  done clear
  C)
   4.92                          
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer56)

  Direction: Two liquids A and B have the same molecular weights and for man ideal solution. The solution a/composition \[{{X}_{A}}\] has the vapour pressure 700 mm Hg at \[80{}^\circ C\]. The above solution is distilled without reflux till 3/4 of the solution is collected as condensate. The composition of the condensate is\[X{{'}_{A}}=0.75\] and that of residue is \[{{X}_{A}}=0.3\]. The vapour pressure of the residue at \[80{}^\circ C\] is 600 mm.

  Mole fraction of A in original sample is
  A)
   0.6375                       
  done clear
  B)
   0.2375 
  done clear
  C)
   0.8375                       
  done clear
  D)
   0.9375
  done clear
  View Answer play_arrow

• question_answer57)

  Direction: Two liquids A and B have the same molecular weights and for man ideal solution. The solution a/composition \[{{X}_{A}}\] has the vapour pressure 700 mm Hg at \[80{}^\circ C\]. The above solution is distilled without reflux till 3/4 of the solution is collected as condensate. The composition of the condensate is\[X{{'}_{A}}=0.75\] and that of residue is \[{{X}_{A}}=0.3\]. The vapour pressure of the residue at \[80{}^\circ C\] is 600 mm.

  Value of \[p_{A}^{o}\](i.e., vapour pressure of pure A) is
  A)
   807.41 mm of Hg      
  done clear
  B)
   511.11 mm of Hg
  done clear
  C)
   707.41 41 mm of Hg
  done clear
  D)
   207.41 mm of Hg
  done clear
  View Answer play_arrow

• question_answer58)

  Direction: Two liquids A and B have the same molecular weights and for man ideal solution. The solution a/composition \[{{X}_{A}}\] has the vapour pressure 700 mm Hg at \[80{}^\circ C\]. The above solution is distilled without reflux till 3/4 of the solution is collected as condensate. The composition of the condensate is\[X{{'}_{A}}=0.75\] and that of residue is \[{{X}_{A}}=0.3\]. The vapour pressure of the residue at \[80{}^\circ C\] is 600 mm.

  Value of \[p_{B}^{o}\] (i.e., vapour pressure of pure B) is
  A)
   807.41 mm of Hg      
  done clear
  B)
   511.11 mm of Hg 
  done clear
  C)
   707.41 mm of Hg      
  done clear
  D)
   207.41 mm of Hg
  done clear
  View Answer play_arrow

• question_answer59)

  Direction: For the following questions choose the correct answers from the codes [a], [b], [c] and [d] defined as follows.

  Statement I In the electrolytic cell, flow of electron is from anode to cathode through internal supply.

  Statement II In an electrolytic cell, cathode is the electron rich electrode.

  A)
   Statement I is true. Statement II is also true and Statement II is the correct explanation of Statement I.
  done clear
  B)
   Statement I is true. Statement II is also true and Statement II is not the correct explanation of Statement I
  done clear
  C)
   Statement I is true. Statement II is false.
  done clear
  D)
   Statement I is false. Statement II is true.
  done clear
  View Answer play_arrow

• question_answer60)

  Direction: For the following questions choose the correct answers from the codes [a], [b], [c] and [d] defined as follows.

  Statement I Internal energy of a system is an extensive property.

  Statement II The internal energy of a system depends upon the amount and physical state of the substance.

  A)
   Statement I is true. Statement II is also true and Statement II is the correct explanation of Statement I.
  done clear
  B)
   Statement I is true. Statement II is also true and Statement II is not the correct explanation of Statement I
  done clear
  C)
   Statement I is true. Statement II is false.
  done clear
  D)
   Statement I is false. Statement II is true.
  done clear
  View Answer play_arrow

• question_answer61)
  If a, b, c, d, e are positive real numbers such that \[a+b+c+d+e=15\] and\[a{{b}^{2}}{{c}^{3}}{{d}^{4}}{{e}^{5}}={{(120)}^{3}}\cdot (50),\]then the value of \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}+\,{{d}^{2}}+{{e}^{2}}\] is
  A)
   40                              
  done clear
  B)
   45               
  done clear
  C)
   50                              
  done clear
  D)
   55
  done clear
  View Answer play_arrow

• question_answer62)
  Let \[h(x)=\max \,\{-x,\,1,\,{{x}^{2}}\}\] for every real number \[x\]. Then,
  A)
   \[h\] is continuous for all \[x\]
  done clear
  B)
   \[h\] is differentiable for all \[x\]
  done clear
  C)
   \[h'(a)=1,\,\,\forall x>1\]c
  done clear
  D)
   h is not differentiable at two values of \[x\]
  done clear
  View Answer play_arrow

• question_answer63)
  The value of\[^{100}{{C}_{0}}{{\,}^{200}}{{C}_{100}}{{-}^{100}}{{C}_{1}}{{\,}^{199}}{{C}_{100}}{{+}^{100}}{{C}_{2}}{{\,}^{198}}{{C}_{100}}\]\[{{-}^{100}}{{C}_{3}}^{197}{{C}_{100}}+...{{+}^{100}}{{C}_{100}}^{100}{{C}_{100}}\] is equal to
  A)
   1                                
  done clear
  B)
   -1               
  done clear
  C)
   0                                
  done clear
  D)
   2
  done clear
  View Answer play_arrow

• question_answer64)
  The odd against a certain event is 5:2 and the odds in favour of another event is 6 : 5. If both the events are independent, then the probability that at least one of the events will happens is
  A)
   \[\frac{52}{77}\]                               
  done clear
  B)
   \[\frac{50}{77}\]
  done clear
  C)
   \[\frac{25}{88}\]                               
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer65)
  The number of solution(s) of the equation \[2\,{{\tan }^{2}}x+2\,{{\tan }^{4}}x-2\,{{\sec }^{4}}\,x\,{{\sin }^{2}}x-3=0\] in \[\left( 0,\,\frac{\pi }{2} \right)\] is
  A)
   0                                
  done clear
  B)
   1                 
  done clear
  C)
   3                                
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer66)
  If the graph of \[y=f(x)\] is symmetric about the curves \[x{{y}^{2}}-{{y}^{2}}+x-1=0\] and\[x{{y}^{2}}-3{{y}^{2}}+2x-6=0\], then fundamental period of \[f(x)\] is
  A)
   4                                
  done clear
  B)
   3                 
  done clear
  C)
   2                                
  done clear
  D)
   1
  done clear
  View Answer play_arrow

• question_answer67)
  Let \[{{A}_{1}},\,{{A}_{2}},\,{{A}_{3}},....,{{A}_{2009}}\] and \[{{H}_{1}},\,{{H}_{2}},\,{{H}_{3}},\,...{{H}_{2009}}\] are arithmetic and harmonic means inserted between two numbers ?a? and ?b?, respectively. If \[{{A}_{1005}}\,{{H}_{1005}}\] is 20011, then \[\frac{{{A}_{1006}}{{H}_{1004}}}{{{A}_{1004}}{{H}_{1006}}}\] is
  A)
   1                                
  done clear
  B)
   2
  done clear
  C)
   3                                
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer68)
  Let \[{{x}_{1}},\,\,{{x}_{2}},...{{x}_{n}}\] be \[n\] observations such that \[\sum x_{i}^{2}=400\] and \[\sum xi=80\]. Then, a possible value of n among the following is
  A)
   9                                
  done clear
  B)
   12              
  done clear
  C)
   15                              
  done clear
  D)
   18
  done clear
  View Answer play_arrow

• question_answer69)
  If vectors a,b and c satisfy the condition \[|a-c|\,=\,|b-c|,\] then \[(b-a)\cdot \,\left( c-\frac{a+b}{2} \right)\]is
  A)
   2                                
  done clear
  B)
   1              
  done clear
  C)
   -1                               
  done clear
  D)
   0
  done clear
  View Answer play_arrow

• question_answer70)
  Consider the equation\[3\sqrt{{{[32{{\cos }^{6}}x-48{{\cos }^{4}}x+18\,{{\cos }^{2}}x-1]}^{2}}}=\sin \,x\]. Number of solutions of equation is
  A)
   \[9,\,\,x\in \,\,\left[ 0,\,\frac{\pi }{2} \right]\]   
  done clear
  B)
   \[10,\,x\,\,\in \,\,[0,\,\,\pi ]\]
  done clear
  C)
   \[8,\,\,x\,\in \,\,\left[ -\frac{\pi }{2},\,\frac{\pi }{2} \right]\]    
  done clear
  D)
   \[12,\,\,x\,\,\in \,\,[-\pi ,\,\,\pi ]\]
  done clear
  View Answer play_arrow

• question_answer71)
  If \[\int{\frac{12{{x}^{2}}-1}{x\sqrt{100{{x}^{2}}-36{{x}^{6}}-12{{x}^{3}}-1}}dx=a\,{{\sin }^{-1\,}}\{f(x)\}+C,}\] then
  A)
   \[f(x)=\left( 3{{x}^{2}}-\frac{1}{2x} \right)\]        
  done clear
  B)
   \[f(x)=\frac{1}{5}\,\left( 3{{x}^{2}}-\frac{1}{2x} \right)\]
  done clear
  C)
  \[a=1\]
  done clear
  D)
   \[a=2\]
  done clear
  View Answer play_arrow

• question_answer72)
  The contrapositive of \[(p\,\vee q)\to r\] is 
  A)
   \[\tilde{\ }r\to (p\,\vee q)\]      
  done clear
  B)
   \[r\to (p\,\vee q)\]
  done clear
  C)
   \[\tilde{\ }r\to (\tilde{\ }p\,\wedge \tilde{\ }q)\]          
  done clear
  D)
   \[p\to (q\vee r)\]
  done clear
  View Answer play_arrow

• question_answer73)
  The equation of the normal to the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] at the positive end of thelatusrectum is
  A)
   \[x+ey+{{e}^{3}}a=0\]   
  done clear
  B)
   \[x-ey-{{e}^{3}}a=0\]
  done clear
  C)
   \[x+ey-{{e}^{2}}a=0\]     
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer74)
  Range of the function \[f(x)=\sin x+|\cos \,x|\] is
  A)
   \[[-\sqrt{2},\,\,\sqrt{2}]\]                   
  done clear
  B)
   \[[0,\,\,\sqrt{2}]\]
  done clear
  C)
   \[[1,\,\,\sqrt{2}]\]                   
  done clear
  D)
   \[[-1,\,\,\sqrt{2}]\]
  done clear
  View Answer play_arrow

• question_answer75)
  The range of the function \[f(x)=[{{4}^{x}}-{{2}^{x+1}}+1],\] is, where [.] denotes greatest integer function
  A)
   positive integers                       
  done clear
  B)
   whole numbers
  done clear
  C)
   prime numbers                        
  done clear
  D)
   all integers
  done clear
  View Answer play_arrow

• question_answer76)
  The value of the integral \[\int\limits_{0}^{\pi /2}{\frac{a+b\,\cos \,x}{{{(b+a\,\cos \,x)}^{2}}}dx}\].
  A)
   is independent of a    
  done clear
  B)
   is independent of b
  done clear
  C)
   is independent of a and b
  done clear
  D)
   depends on both a and b
  done clear
  View Answer play_arrow

• question_answer77)
  The vertices of triangle are \[A(1,\,2),\,B(3,\,2)\,C\,(2,\,\sqrt{3}+2)\] a point P moves with a triangle such that it satisfies the relation \[(d(P,\,AB)\le d(P,\,AC)\] and \[(d(P,\,AB)\le d(P,\,BC)),\] then the area of traced by point P, where d(P, AB) denotes the distance of point P from line AB is
  A)
   \[\frac{2}{\sqrt{3}}\]                        
  done clear
  B)
   \[\sqrt{3}\]
  done clear
  C)
   \[\frac{1}{\sqrt{3}}\]                        
  done clear
  D)
   \[\frac{\sqrt{3}}{2}\]
  done clear
  View Answer play_arrow

• question_answer78)
  If the curve \[{{C}_{1}}\] is \[|z-1|\,=1\] and the point \[{{z}_{1}}\] satisfies the relation \[|{{z}_{1}}-8|+|{{z}_{1}}-6i=10,\] then the minimum value of \[|z-{{z}_{1}}|\] is
  A)
   \[\frac{16}{5}\]                                 
  done clear
  B)
   \[\frac{\sqrt{10025}}{25}-1\]
  done clear
  C)
   \[\frac{\sqrt{10125}}{25}-1\]                       
  done clear
  D)
   24
  done clear
  View Answer play_arrow

• question_answer79)
  Let M, N be feet of perpendicular from P to \[xy,\,\,yz\] plane respectively. If OP makes \[{{30}^{o}},\,{{45}^{o}},\,{{60}^{o}}\] angle with the planes \[xy,\,\,yz\] and \[zx\], respectively and angle \[\theta \]with plane OMN, then the numerical value of \[3\,\cos e{{c}^{2}}\,\theta \] is
  A)
   17                              
  done clear
  B)
   23
  done clear
  C)
   22                              
  done clear
  D)
   19
  done clear
  View Answer play_arrow

• question_answer80)
  If letters of the word 'CALCULUS' are arranged such a way that all C's occur before all L's, then the total number of words formed is
  A)
   600                            
  done clear
  B)
   820
  done clear
  C)
   840                            
  done clear
  D)
   620
  done clear
  View Answer play_arrow

• question_answer81)
  Let A be a matrix of order \[3\times 3\] and matrices B,C and D are related such that \[B=adj\,(A),\]\[C=adj\,(adj\,A),\]\[D=(adj\,(adj(adj\,A)))\] if \[|adj\,(adj\,(adj\,(adj\,ABCD)))|\] is \[|A{{|}^{k}}\], then k
  A)
   is independent of a           
  done clear
  B)
   is independent of b
  done clear
  C)
   is independent of a and b              
  done clear
  D)
   depends on both a and b
  done clear
  View Answer play_arrow

• question_answer82)
  If Z is an idempotent matrix, then \[{{(l+Z)}^{n}}\]
  A)
   \[l{{+}^{n}}Z\]                  
  done clear
  B)
   \[l+({{2}^{n}}-1)Z\]
  done clear
  C)
   \[l-({{2}^{n}}-1)Z\]            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer83)
  If \[(1+\tan \,{{1}^{o}})\,(1+\tan \,{{2}^{o}})\,(1+\tan \,{{3}^{o}})...\,(1+\tan \,{{45}^{o}})={{2}^{n}}\] and \[a,\,b,\,c\] and \[d\] are four numbers in the interval \[[0,\,\,\pi ]\] such that

  \[\sin \,a+7\,\sin \,b=4\,(\sin \,c+2\,\sin \,d)\]

  \[\cos \,a+7\,\cos \,b=4\,(\cos \,c+2\,\cos \,d)\]

  and the numerical value of \[\frac{7\,\cos \,(b-c)}{\cos \,(a-d)}\] is m. the correct statement is/are

  A)
  m is a prime number
  done clear
  B)
   n is a composite number
  done clear
  C)
   m, n both are perfect square
  done clear
  D)
   m is divisible by n.
  done clear
  View Answer play_arrow

• question_answer84)
  Number of identical terms in the sequence 2, 5, 8, 11,..., 100 terms and 3, 5, 7, 9,..., 100terms are
  A)
   17                                          
  done clear
  B)
   33
  done clear
  C)
   50                                          
  done clear
  D)
   47
  done clear
  View Answer play_arrow

• question_answer85)

  Direction: Sometimes use of graph is very important to find the number of solutions of an equation. To find the number of solutions of the equation \[{{f}_{1}}(x)={{f}_{2}}(x)\]. We drain the graph of\[y={{f}_{1}}(x),\]\[y={{f}_{2}}(x)\] and the number of point of intersection of these graphs is equal to the number of solution. Let us consider the function \[f(x)=\,|x-1|+\,|x-3|+\,|x-7|+|x-13|\]

  The minimum value of f{x) is
  A)
   10                              
  done clear
  B)
   16              
  done clear
  C)
   20                              
  done clear
  D)
   28
  done clear
  View Answer play_arrow

• question_answer86)

  Direction: Sometimes use of graph is very important to find the number of solutions of an equation. To find the number of solutions of the equation \[{{f}_{1}}(x)={{f}_{2}}(x)\]. We drain the graph of\[y={{f}_{1}}(x),\]\[y={{f}_{2}}(x)\] and the number of point of intersection of these graphs is equal to the number of solution. Let us consider the function \[f(x)=\,|x-1|+\,|x-3|+\,|x-7|+|x-13|\]

  The number of solutions of  \[f(x)=16\] is
  A)
   zero                            
  done clear
  B)
   two               
  done clear
  C)
   three             
  done clear
  D)
   infinitely many
  done clear
  View Answer play_arrow

• question_answer87)

  Direction: The mean value of the continuous functions f(x) in the interval [a, b} is given by the formula

  Mean value \[=\frac{\int\limits_{a}^{b}{f(x)\,dx}}{b-a}\]

  Value of \[\int\limits_{0}^{1}{\frac{dx}{\sqrt{1-{{x}^{2}}}{{[{{(1-{{x}^{2}})}^{1/4}}+{{x}^{1/2}}]}^{4}}}}\] is
  A)
   \[\frac{1}{3}\]                                   
  done clear
  B)
   \[\frac{1}{2}\]
  done clear
  C)
   0                                
  done clear
  D)
   1
  done clear
  View Answer play_arrow

• question_answer88)

  Direction: The mean value of the continuous functions f(x) in the interval [a, b} is given by the formula

  Mean value \[=\frac{\int\limits_{a}^{b}{f(x)\,dx}}{b-a}\]

  The mean value of\[f(x)=(x+1)\,{{(\tan \,x)}^{x}}\cdot {{\sec }^{2}}x+{{\log }_{e}}\,(\tan \,x)\cdot \,{{(\tan \,x)}^{x+1}}\] in the interval \[\left[ 0,\,\frac{\pi }{4} \right]\] is
  A)
   \[\frac{2}{\pi }\]        
  done clear
  B)
   \[\frac{1}{\pi }\]
  done clear
  C)
   \[\frac{4}{\pi }\]                    
  done clear
  D)
   \[\frac{8}{\pi }\]
  done clear
  View Answer play_arrow

• question_answer89)

  Direction: For the following questions. Choose the correct answer to the codes [a], [b], [c] and [d] defined as follows.

  Statement I If \[\sin \,x+{{\sin }^{2}}x=1,\] then value of the expression \[{{\cos }^{12}}\,x+3\,{{\cos }^{10}}x+3\,{{\cos }^{8}}x+{{\cos }^{6}}x-1\]

  Statement II \[{{\cos }^{2}}\,x=\frac{\sqrt{5}-1}{2}\].

  A)
   Statement I is true. Statement II is also true and Statement II is the correct explanation of Statement I.
  done clear
  B)
   Statement I is true/Statement II is also true and Statement II is not the correct explanation of Statement I.
  done clear
  C)
   Statement I is true. Statement II is false.
  done clear
  D)
   Statement I is false, Statement II is true.
  done clear
  View Answer play_arrow

• question_answer90)

  Direction: For the following questions. Choose the correct answer to the codes [a], [b], [c] and [d] defined as follows.

  Let us consider the any \[\Delta \,ABC,\] whose sum of all angles is \[180{}^\circ \].

  Statement I If \[\angle A\] is obtuse, then \[\tan \,B\,\tan C<1\].

  Statement II \[\tan \,A+\tan \,B+\tan \,C=\tan \,A\,\tan \,B\,\tan \,C\].

  A)
   Statement I is true. Statement II is also true and Statement II is the correct explanation of Statement I.
  done clear
  B)
   Statement I is true/Statement II is also true and Statement II is not the correct explanation of Statement I.
  done clear
  C)
   Statement I is true. Statement II is false.
  done clear
  D)
   Statement I is false, Statement II is true.
  done clear
  View Answer play_arrow