question_answer 1) A simple pendulum is made of a body which a hollow sphere is containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will
A)
remain unchanged
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B)
increase
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C)
decrease
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D)
become erratic
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question_answer 2) Two balloons are filled, one with pure \[He\] gas and the other by air, respectively. If the pressure and temperature of these balloons are same then the number of molecules per unit volume is
A)
more in the He filled balloon
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B)
same in both balloons
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C)
more in air filled balloon
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D)
in the ratio of\[1:4\]
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question_answer 3) Which of the following logic gates is a universal gate?
A)
\[OR\]
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B)
\[NOT\]
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C)
\[AND\]
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D)
\[NAND\]
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question_answer 4) We consider a thermodynamic system. If \[\Delta U\] represents the increase in its internal energy and \[W\] the work done by the system, which of the following statements is true?
A)
\[\Delta U=-W\] in an adiabatic process
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B)
\[\Delta U=W\] in an isothermal process
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C)
\[\Delta U=-W\] in an isothermal process
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D)
\[\Delta U=W\] in an adiabatic process
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question_answer 5) Aerofils are so designed that the speed of air
A)
on top side is more than on lower side
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B)
on top side is less than on lower side
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C)
is same on both sides
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D)
is turbulent
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question_answer 6) According to Bernoulli's equation\[\frac{P}{\rho g}+h+\frac{1}{2}\frac{{{v}^{2}}}{g}=\]constant The terms \[A,\,\,B\] and \[C\] are generally called respectively:
A)
gravitational head, pressure head and velocity head
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B)
gravity, gravitational head and velocity head
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C)
pressure head, gravitational head and velocity head
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D)
gravity, pressure and velocity head
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question_answer 7) The time of reverberation of a room \[A\] is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room\[A?\]
A)
\[2\]
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B)
\[4\]
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C)
\[\frac{1}{2}\]
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D)
\[1\]
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question_answer 8) For sky wave propagation of \[10\,\,MHz\] signal, what should be the minimum electron density in ionosphere?
A)
\[\tilde{\ }1.2\times {{10}^{12}}{{m}^{-3}}\]
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B)
\[\tilde{\ }{{10}^{6}}{{m}^{-3}}\]
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C)
\[\tilde{\ }{{10}^{14}}{{m}^{-3}}\]
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D)
\[\tilde{\ }{{10}^{22}}{{m}^{-3}}\]
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question_answer 9) If the mass of moon is \[\frac{M}{81}\], where \[M\] is the mass of earth, find the distance of the point from the moon, where gravitational field due to earth and moon cancel each other. Given that distance between earth and moon is\[60R\], where \[R\] is the radius of earth.
A)
\[6R\]
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B)
\[8R\]
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C)
\[2R\]
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D)
\[4R\]
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question_answer 10) \[27\]small drops each having charge \[q\] and radius \[r\] coalesce to from big drop. How many times charge and capacitance will become?
A)
\[3,\,\,27\]
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B)
\[27,\,\,3\]
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C)
\[27,\,\,27\]
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D)
\[3,\,\,3\]
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question_answer 11) The magnetic moment has dimensions of
A)
\[[LA]\]
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B)
\[[{{L}^{2}}A]\]
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C)
\[[L{{T}^{-1}}A]\]
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D)
\[[{{L}^{2}}{{T}^{-1}}A]\]
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question_answer 12) Which of the following circular rods, (given radius \[r\] and length\[l)\] each made of the same material and whose ends are maintained at the same temperature will conduct most heat?
A)
\[r=2{{r}_{0}};\,\,l=2{{l}_{0}}\]
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B)
\[r=2{{r}_{0}};\,\,l={{l}_{0}}\]
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C)
\[r={{r}_{0}};\,\,l={{l}_{0}}\]
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D)
\[r={{r}_{0}};\,\,l=2{{l}_{0}}\]
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question_answer 13) For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
A)
\[2\]
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B)
\[\frac{1}{2}\]
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C)
\[\frac{1}{\sqrt{2}}\]
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D)
\[\sqrt{2}\]
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question_answer 14)
The current in the given circuit is
A)
\[0.3\,\,A\]
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B)
\[0.1\,\,A\]
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C)
\[0.4\,\,A\]
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D)
\[0.2\,\,A\]
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question_answer 15) Interference was observed in an interference chamber when air was present. Now, the chamber is evacuated and if the same light is used, a careful observation will show
A)
no interference
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B)
interference with bright band
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C)
interference with dark bands
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D)
interference in which breadth of the fringe will be slightly increased
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question_answer 16) When a charged particle moving with velocity \[\overset{\to }{\mathop{\mathbf{v}}}\,\]is subjected to a magnetic field of induction\[\overset{\to }{\mathop{\mathbf{B}}}\,\], the force on it is non-zero. This implies that
A)
angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] is necessarily\[{{90}^{o}}\]
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B)
angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] can have any value other than\[{{90}^{o}}\]
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C)
angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] can have any value other than zero and\[{{180}^{o}}\]
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D)
angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] is either zero or \[{{180}^{o}}\]
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question_answer 17) A particle moves along a straight line\[OX\]. At a time \[t\] (in seconds) the distance \[x\] (in metres) of the particle from \[O\] is given by \[x=40+12t-{{t}^{3}}\] How long would the particle travel before coming to rest?
A)
\[24\,\,m\]
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B)
\[40\,\,m\]
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C)
\[56\,\,m\]
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D)
\[16\,\,m\]
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question_answer 18) Which one of the following statements is true?
A)
Both light and sound waves in air are transverse
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B)
The sound waves in air are longitudinal while the light waves are transverse
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C)
Both light and sound waves in air are longitudinal
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D)
Both light and sound waves can travel in vacuum
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question_answer 19) When power is drawn from the secondary coil of the transformer, the dynamic resistance
A)
increases
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B)
decreases
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C)
remains unchanged
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D)
changes erratically
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question_answer 20) A reference frame attached to the earth
A)
is an inertial frame by definition
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B)
cannot be an inertial frame because earth is revolving round the sun
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C)
is an inertial frame because Newton's laws are applicable
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D)
is an inertial frame because the earth is rotating about its own axis
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question_answer 21) Pressure of an ideal gas is increased by keeping temperature constant. What is the effect on kinetic energy of molecules?
A)
Increase
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B)
Decrease
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C)
No change
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D)
Can't be determined
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question_answer 22) What maximum frequency can be reflected from ionosphere?
A)
\[5\,\,MHz\]
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B)
\[6\,\,GHz\]
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C)
\[5\,\,kHz\]
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D)
\[500\,\,MHz\]
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question_answer 23) A telescope has focal length of objective and eyepiece as \[200\,\,cm\] and \[5\,\,cm\] respectively. What is magnification of telescope?
A)
\[40\]
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B)
\[80\]
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C)
\[50\]
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D)
\[0.01\]
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question_answer 24) A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centres is 3.2 cm, what is the shift in the centre of mass of the disc?
A)
\[40\]
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B)
\[80\]
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C)
\[50\]
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D)
\[0.01\]
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question_answer 25) Which of the following is not a process involved in fabrication of\[IC?\]
A)
Polymerization
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B)
Diffusion
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C)
Photolithography
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D)
Metallisation
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question_answer 26) Permanent magnet has properties retentively and coercively respectively
A)
high-high
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B)
low-low
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C)
low-high
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D)
high-low
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question_answer 27) Hydrogen bomb is based upon
A)
fission
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B)
fusion
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C)
chemical reaction
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D)
transmutation
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question_answer 28) What is not true for equipotential surface for uniform electric field?
A)
Equipotential surface is flat
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B)
Equipotential surface is spherical
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C)
Electric lines are perpendicular to equipotential surface
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D)
Work done is zero
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question_answer 29) A closed organ pipe of length 20 cm is sounded with tuning fork in resonance. What is the frequency of tuning fork?\[(v=332\,\,m/s)\]
A)
\[300\,\,Hz\]
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B)
\[350\,\,Hz\]
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C)
\[375\,\,Hz\]
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D)
\[415\,\,Hz\]
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question_answer 30)
Two identical springs of spring constant \[k\] are connected in series and parallel as shown in figure. A mass \[M\] is suspended from them. The ratio of their frequencies of vertical oscillation will be
A)
\[2:1\]
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B)
\[1:2\]
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C)
\[4:1\]
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D)
\[1:4\]
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question_answer 31) The area of the acceleration-displacement curve of a body gives
A)
impulse
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B)
change in momentum per unit mass
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C)
change in \[KE\] per unit mass
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D)
total change in energy
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question_answer 32) The speed of earth's rotation about its axis is\[\omega \]. Its speed is increased to \[x\] times to make the effective acceleration due to gravity equal to zero at the equator. Then \[x\] is
A)
\[1\]
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B)
\[8.5\]
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C)
\[17\]
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D)
\[34\]
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question_answer 33) Hard \[X-\]rays for the study of fractures in bones should have a minimum wavelength of\[{{10}^{-11}}m\]. The accelerating voltage for electrons in X-ray machine should be
A)
\[<124\,\,kV\]
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B)
\[>124\,\,kV\]
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C)
between\[60\,\,kV\]and\[70\,\,kV\]
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D)
\[=100\,\,kV\]
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question_answer 34) In photoelectric effect, the electrons are ejected from metals if the incident light has a certain minimum
A)
wavelength
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B)
frequency
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C)
amplitude
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D)
angle of incidence
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question_answer 35)
A capacitor having capacitance with air, is filled with two dielectrics as shown. How many times capacitance will increase?
A)
\[12\]
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B)
\[6\]
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C)
\[8/3\]
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D)
\[3\]
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question_answer 36) A leaf which contains only green pigments, is illuminated by a laser light of wavelength\[0.6328\,\,\mu m\]. It would appear to be
A)
brown
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B)
black
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C)
red
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D)
green
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question_answer 37) The operation of a nuclear reactor is said to be critical, if the multiplication factor \[(k)\] has a value
A)
\[1\]
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B)
\[1.5\]
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C)
\[2.1\]
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D)
\[2.5\]
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question_answer 38) A galvanometer having a resistance of \[8\Omega \] is shunted by a wire of resistance\[2\Omega \]. If the total current is \[1\,\,A\], the part of it passing through the shunt will be
A)
\[0.25\,\,A\]
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B)
\[0.8\,\,A\]
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C)
\[0.2\,\,A\]
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D)
\[0.5\,\,A\]
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question_answer 39) Flash light equipped with a new set of batteries, produces bright white light. As the batteries wear out
A)
the light intensity gets reduced with no change in its colour
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B)
light colour changes first to yellow and then red with no change in intensity
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C)
it stops working suddenly while giving white light
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D)
colour changes to red and also intensity gets reduced
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question_answer 40) If alpha, beta and gamma rays carry same momentum, which has the longest wavelength?
A)
Alpha rays
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B)
Beta rays
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C)
Gamma rays
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D)
None, all have same wavelength
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question_answer 41) An amplifier has a voltage gain\[{{A}_{v}}=1000\]. The voltage gain in \[dB\] is
A)
\[30\,\,dB\]
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B)
\[60\,\,dB\]
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C)
\[3\,\,dB\]
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D)
\[20\,\,dB\]
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question_answer 42) When you make ice cubes, the entropy of water
A)
does not change
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B)
increases
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C)
decreases
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D)
may either increase or decrease depending on the process used
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question_answer 43) Half-lives of two radioactive substances \[A\] and \[B\] are respectively \[20\min \] and\[40\min \]. Initially the samples of \[A\] and \[B\] have equal number of nuclei. After \[80\min \] the ratio of remaining number of \[A\] and \[B\] nuclei is
A)
1 : 16
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B)
4 : 1
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C)
1 : 4
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D)
1 : 1
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question_answer 44) If equation of a sound wave is\[y=0.0015\sin (62.8x+314t)\] then its wavelength will be
A)
\[0.1\,\,unit\]
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B)
\[2\,\,unit\]
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C)
\[0.3\,\,unit\]
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D)
\[0.2\,\,unit\]
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question_answer 45) A projectile is thrown in the upward direction making an angle of \[{{60}^{o}}\] with the horizontal direction with a velocity of\[147\,\,m{{s}^{-1}}\]. Then the time after which its inclination with the horizontal is \[{{45}^{o}}\], is
A)
\[15\,\,s\]
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B)
\[10.98\,\,s\]
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C)
\[5.49\,\,s\]
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D)
\[2.745\,\,s\]
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question_answer 46) A motor cycle is going on an over bridge of radius\[R\]. The driver maintains a constant speed. As the motor cycle is ascending on the overbridge, the normal force on it
A)
increases
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B)
decreases
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C)
remains the same
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D)
fluctuates erratically
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question_answer 47) If we throw a body upwards with velocity of\[4\,\,m/s\], at what height does its kinetic energy reduce to half of the initial value? (Take\[g=10\,\,m{{s}^{-2}})\]
A)
\[4\,\,m\]
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B)
\[2\,\,m\]
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C)
\[1\,\,m\]
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D)
\[0.4\,\,m\]
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question_answer 48) Two glass plates are separated by water. If surface tension of water is \[75\] \[dynes/cm\] and area of each plate wetted by water is \[8\,\,c{{m}^{2}}\] and the distance between the plates is \[0.12\,\,mm\], then the force applied to separate the two plates is
A)
\[{{10}^{2}}dyne\]
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B)
\[{{10}^{4}}dyne\]
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C)
\[{{10}^{5}}dyne\]
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D)
\[{{10}^{6}}dyne\]
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question_answer 49)
Which of the following is true for rays coming from infinity?
A)
Two images are formed
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B)
Continuous image is formed between focal points of upper and lower lens
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C)
One image is formed
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D)
None of the above
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question_answer 50) The north pole of a long horizontal bar magnet is being brought closer to a vertical conducting plane along the perpendicular direction. The direction of the induced current in the conducting plane will be
A)
horizontal
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B)
vertical
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C)
clock wise
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D)
anti clock wise
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question_answer 51) Calcium carbide reacts with \[{{H}_{2}}O\] to produce
A)
Ethane
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B)
methane
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C)
ethylene
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D)
acetylene
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question_answer 52) Propyne and propene can be distinguished by
A)
\[dil.\,\,KMn{{O}_{4}}\]
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B)
\[conc.\,\,{{H}_{2}}S{{O}_{4}}\]
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C)
\[AgN{{O}_{3}}\] in ammonia
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D)
\[B{{r}_{2}}\]in\[CC{{l}_{4}}\]
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question_answer 53) Oxidation number of \[Fe\] in \[F{{e}_{2}}{{O}_{3}}\] is
A)
\[\frac{1}{2}\]
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B)
\[\frac{2}{6}\]
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C)
\[\frac{8}{3}\]
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D)
\[\frac{3}{2}\]
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question_answer 54) Bauxite is an ore of
A)
\[Al\]
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B)
\[Ca\]
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C)
\[Cu\]
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D)
\[Ni\]
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question_answer 55) The best source of vitamin \[A\] is
A)
beans
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B)
pulses
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C)
orange
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D)
carrot
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question_answer 56) Plaster of Paris is
A)
\[CaS{{O}_{4}}\cdot \frac{1}{2}{{H}_{2}}O\]
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B)
\[CaS{{O}_{4}}\cdot 2{{H}_{2}}O\]
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C)
\[CaS{{O}_{4}}\cdot {{H}_{2}}O\]
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D)
\[CaS{{O}_{4}}\cdot 4{{H}_{2}}O\]
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question_answer 57) Penicillin is
A)
analgesic
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B)
antipyretic
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C)
anti malarials
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D)
antibiotic
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question_answer 58) The most stable compound is
A)
\[LiF\]
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B)
\[LiCl\]
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C)
\[LiBr\]
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D)
\[Lil\]
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question_answer 59) Heavy water is
A)
\[CaS{{O}_{4}}\]
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B)
water contain\[CaS{{O}_{4}},\,\,MgS{{O}_{4}}\]
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C)
\[{{D}_{2}}O\]
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D)
water contain\[CaC{{O}_{3}}\]
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question_answer 60) In the extraction of copper from its sulphide ore, the metal is formed by reduction of\[C{{u}_{2}}O\] with
A)
\[FeS\]
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B)
\[CO\]
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C)
\[C{{u}_{2}}S\]
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D)
\[S{{O}_{2}}\]
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question_answer 61) \[Ba{{O}_{2}}\] and ozone reacts to produce
A)
\[Ba\]
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B)
\[B{{a}_{2}}{{O}_{3}}\]
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C)
\[BaO\]
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D)
\[Ba{{(OH)}_{3}}\]
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question_answer 62) Heisenberg uncertainty principle can be explained as
A)
\[\Delta x\ge \frac{\Delta p\times h}{4\pi }\]
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B)
\[\Delta x\times \Delta p\ge \frac{h}{4\pi }\]
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C)
\[\Delta x\times \Delta p\ge \frac{h}{\pi }\]
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D)
\[\Delta p\ge \frac{\pi h}{\Delta x}\]
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question_answer 63) For decolourisarion of \[1\] mole of \[KMn{{O}_{4}}\], the moles of \[{{H}_{2}}{{O}_{2}}\] required is
A)
\[\frac{1}{2}\]
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B)
\[\frac{3}{2}\]
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C)
\[\frac{5}{2}\]
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D)
\[\frac{7}{2}\]
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question_answer 64) Bleaching powder is obtained by treating \[C{{l}_{2}}\] with
A)
\[Ca{{(OH)}_{2}}\]
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B)
\[CaO\]
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C)
\[CaC{{O}_{3}}\]
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D)
\[CaC{{l}_{2}}\]
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question_answer 65) Magnalium contains
A)
\[Mg+Al\]
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B)
\[Mg+Cu\]
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C)
\[Mg+Fe\]
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D)
\[Mg+Mn\]
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question_answer 66) The de-Broglie wave length of a panicle with mass \[1\,\,kg\] and velocity \[100\,\,m/s\] is
A)
\[6.6\times {{10}^{-33}}m\]
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B)
\[6.6\times {{10}^{-36}}m\]
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C)
\[3.3\times {{10}^{33}}m\]
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D)
\[3.3\times {{10}^{-36}}m\]
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question_answer 67) The volume of a gas measured at \[{{27}^{o}}C\] and \[1\,\,atm\] pressure is\[10\,\,L\]. To reduce the volume to \[2\,\,L\] at\[1\,\,atm\]. pressure, the temperature required is
A)
\[60\,\,K\]
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B)
\[75\,\,K\]
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C)
\[150\,\,K\]
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D)
\[225\,\,K\]
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question_answer 68) Isotonic solutions have
A)
same vapour pressure
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B)
same osmotic pressure
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C)
same boiling point
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D)
same temperature
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question_answer 69) Epsom salt is
A)
\[BaS{{O}_{4}}\cdot 2{{H}_{2}}O\]
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B)
\[CaS{{O}_{4}}\cdot {{H}_{2}}O\]
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C)
\[MgS{{O}_{4}}\cdot 2{{H}_{2}}O\]
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D)
\[MgS{{O}_{4}}\cdot 7{{H}_{2}}O\]
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question_answer 70) Paracetamol is an
A)
analgesic
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B)
antipyretic
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C)
both [a] and [b]
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D)
none of the above
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question_answer 71) The number of moles of oxygen obtained by the electrolytic decomposition of 108 g water is
A)
\[2.5\]
done
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B)
\[3\]
done
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C)
\[5\]
done
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D)
\[7.5\]
done
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question_answer 72) The change in entropy for the fusion of \[1\] mole of ice is \[[mp\] of ice \[=273\,\,K\], molar enthalpy of fusion for ice\[=6.0\,\,kJ\,\,mo{{l}^{-1}}]\]
A)
\[11.73\,\,J{{K}^{-1}}mo{{l}^{-1}}\]
done
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B)
\[18.84\,\,J{{K}^{-1}}mo{{l}^{-1}}\]
done
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C)
\[21.97\,\,J{{K}^{-1}}mo{{l}^{-1}}\]
done
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D)
\[24.47\,\,J{{K}^{-1}}mo{{l}^{-1}}\]
done
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question_answer 73) Which does not give a precipitate with \[AgN{{O}_{3}}\] solution?
A)
\[[Co{{(N{{H}_{3}})}_{6}}]C{{l}_{3}}\]
done
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B)
\[[Co{{(N{{H}_{3}})}_{5}}Cl]C{{l}_{2}}\]
done
clear
C)
\[[Co{{(N{{H}_{3}})}_{4}}C{{l}_{2}}]Cl\]
done
clear
D)
\[[Co{{(N{{H}_{3}})}_{3}}C{{l}_{3}}]\]
done
clear
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question_answer 74) Total volume of atoms present in a face centred cubic unit cell of a metal is \[(r\] is atomic radius)
A)
\[\frac{16}{3}\pi {{r}^{3}}\]
done
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B)
\[\frac{20}{3}\pi {{r}^{3}}\]
done
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C)
\[\frac{24}{3}\pi {{r}^{3}}\]
done
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D)
\[\frac{12}{3}\pi {{r}^{3}}\]
done
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question_answer 75) Pure silicon doped with phosphorus is a
A)
metallic conductor
done
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B)
insulator
done
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C)
\[n-\]type semiconductor
done
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D)
\[p-\]type semiconductor
done
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question_answer 76) Which of the following is a biodegradable polymer?
A)
Cellulose
done
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B)
Polythene
done
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C)
Polyvinyl chloride
done
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D)
Nylon\[6\]
done
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question_answer 77) What is \[X\] in the following nuclear reaction? \[_{7}{{H}^{14}}{{+}_{1}}{{H}^{1}}{{\xrightarrow{{}}}_{8}}{{O}^{15}}+X\]
A)
\[_{0}{{n}^{1}}\]
done
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B)
\[_{-1}{{e}^{0}}\]
done
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C)
\[_{+1}{{e}^{0}}\]
done
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D)
\[\gamma \]
done
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question_answer 78) Solubility product of \[PbC{{l}_{2}}\]at\[298\,\,K\]is\[1\times {{10}^{-6}}\]. At this temperature solubility of \[PbC{{l}_{2}}\] in \[mol/L\] is
A)
\[{{(1\times {{10}^{-6}})}^{1/2}}\]
done
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B)
\[{{(1\times {{10}^{-6}})}^{1/3}}\]
done
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C)
\[{{(0.25\times {{10}^{-6}})}^{1/3}}\]
done
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D)
\[{{(0.25\times {{10}^{-6}})}^{1/2}}\]
done
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question_answer 79) The \[pH\] of a \[0.001\,\,M\] solution of \[HCl\] is
A)
\[0\]
done
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B)
\[3\]
done
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C)
\[5\]
done
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D)
\[10\]
done
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question_answer 80) Gold number is associated with
A)
amount of gold
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B)
protective colloids
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C)
purple of cassias
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D)
electrophoresis
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question_answer 81) Noble gases are used in discharge tubes to give different colours. Reddish-orange glow is due to
A)
\[Ar\]
done
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B)
\[Ne\]
done
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C)
\[Xe\]
done
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D)
\[Kr\]
done
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question_answer 82) The set representing the correct order for first ionisation potential is
A)
\[K>Na>Li\]
done
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B)
\[Be>Mg>Ca\]
done
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C)
\[B>C>N\]
done
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D)
\[Ge>Si>C\]
done
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question_answer 83) Dry ice is
A)
solid\[C{{O}_{2}}\]
done
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B)
solid camphor
done
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C)
solid\[S{{O}_{2}}\]
done
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D)
solid\[N{{O}_{2}}\]
done
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question_answer 84) Methanol and ethanol are miscible in water due to
A)
covalent character
done
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B)
hydrogen bonding character
done
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C)
oxygen bonding character
done
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D)
none of the above
done
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question_answer 85) Which of the following does not have optical isomer?
A)
\[[Co{{(N{{H}_{3}})}_{3}}C{{l}_{3}}]\]
done
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B)
\[[Co{{(en)}_{3}}]C{{l}_{2}}\]
done
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C)
\[[Co{{(en)}_{2}}C{{l}_{2}}]Cl\]
done
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D)
\[[Co(en){{(N{{H}_{3}})}_{2}}C{{l}_{2}}]Cl\]
done
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question_answer 86)
\[IUPAC\]name of the following, compound
A)
\[N,N-\]dimethylcyclopropanecarboxamide
done
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B)
\[N-\]methylcyclopropanamide
done
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C)
cyclopropionamide
done
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D)
none of the above
done
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question_answer 87) The product of following reaction is\[2C{{H}_{3}}MgBr+C{{H}_{2}}O\xrightarrow{{}}\]
A)
\[C{{H}_{3}}OH\]
done
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B)
\[{{C}_{2}}{{H}_{5}}OH\]
done
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C)
\[C{{H}_{4}}\]
done
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D)
\[{{C}_{2}}{{H}_{6}}\]
done
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question_answer 88) Freon used as refrigerant is
A)
\[C{{F}_{2}}=C{{F}_{2}}\]
done
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B)
\[C{{H}_{2}}{{F}_{2}}\]
done
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C)
\[CC{{l}_{2}}{{F}_{2}}\]
done
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D)
\[C{{F}_{4}}\]
done
clear
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question_answer 89) Lucas reagent is
A)
\[anhy.\,\,ZnC{{l}_{2}}\]and\[N{{H}_{3}}\]
done
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B)
\[anhy.\,\,ZnC{{l}_{2}}\]and\[CaC{{l}_{2}}\]
done
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C)
\[anhy.\,\,ZnC{{l}_{2}}\]and\[conc.\,\,HCl\]
done
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D)
\[anhy.\,\,ZnC{{l}_{2}}\]and\[HCl\]gas
done
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question_answer 90) The enzyme which can catalyse the conversion of glucose to ethanol is
A)
zymase
done
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B)
in vertase
done
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C)
maltase
done
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D)
diastase
done
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question_answer 91) When dihydroxy acetone reacts with\[HI{{O}_{4}}\], the product is/are
A)
\[HCHO\]
done
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B)
\[HCOOH\]
done
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C)
\[HCHO\]and\[HCOOH\]
done
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D)
\[HCHO\]and\[C{{O}_{2}}\]
done
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question_answer 92) Which of the following does not reduce Fehling's solution?
A)
Benzaldehyde
done
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B)
Formic acid
done
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C)
Glucose
done
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D)
Fructose
done
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question_answer 93) Sodium for mate on heating gives
A)
oxalic acid and\[{{H}_{2}}\]
done
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B)
sodium oxalate and\[{{H}_{2}}\]
done
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C)
sodium oxalate
done
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D)
\[C{{O}_{2}}\] and caustic soda
done
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question_answer 94) Reaction of ethyl for mate with excess of \[C{{H}_{3}}Mgl\] followed by hydrolysis gives
A)
\[n-\]propyl alcohol
done
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B)
isopropyl alcohol
done
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C)
acetaldehyde
done
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D)
acetone
done
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question_answer 95) Hydrolysis of phenyl isocyanide forms
A)
benzoic acid
done
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B)
formic acid
done
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C)
acetic acid
done
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D)
none of these
done
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question_answer 96) Styrene can be purified by
A)
simple distillation
done
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B)
fractional distillation
done
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C)
steam distillation
done
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D)
vacuum distillation
done
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question_answer 97) Which of the following is not reducing sugar?
A)
Glucose
done
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B)
Fructose
done
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C)
Lactose
done
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D)
Sucrose
done
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question_answer 98) The monomer of teflon is:
A)
\[CHF=C{{H}_{2}}\]
done
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B)
\[C{{F}_{2}}=C{{F}_{2}}\]
done
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C)
\[CHCl=CHCl\]
done
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D)
\[CHF=CHCl\]
done
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question_answer 99) The hybridisation state of carbon in fullerene is
A)
\[sp\]
done
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B)
\[s{{p}^{2}}\]
done
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C)
\[s{{p}^{3}}\]
done
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D)
\[s{{p}^{3}}d\]
done
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question_answer 100) A fruity smell is produced by the reaction of\[{{C}_{2}}{{H}_{5}}OH\] with
A)
\[C{{H}_{3}}COC{{H}_{3}}\]
done
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B)
\[C{{H}_{3}}COOH\]
done
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C)
\[PC{{l}_{5}}\]
done
clear
D)
\[C{{H}_{3}}CHO\]
done
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question_answer 101) If\[\left| \begin{matrix} a+x & a-x & a-x \\ a-x & a+x & a-x \\ a+x & -a-x & a-x \\ \end{matrix} \right|=0\], then\[x\]is equal to
A)
\[0,\,\,2a\]
done
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B)
\[a,\,\,2a\]
done
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C)
\[0,\,\,3a\]
done
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D)
none of these
done
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question_answer 102) If the resultant of two forces \[2p\] and \[\sqrt{2}p\] is \[\sqrt{10}p\], then the angle between them will be
A)
\[\frac{\pi }{2}\]
done
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B)
\[\pi \]
done
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C)
\[\frac{\pi }{3}\]
done
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D)
\[\frac{\pi }{4}\]
done
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question_answer 103) When\[y={{\sin }^{-1}}\left( \frac{2t}{1+{{t}^{2}}} \right)\],\[x={{\tan }^{-1}}\left( \frac{2t}{1-{{t}^{2}}} \right)\] where\[-1<t<1\], then\[\frac{dy}{dx}\]is equal to
A)
\[0\]
done
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B)
\[1\]
done
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C)
\[-1\]
done
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D)
\[\infty \]
done
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question_answer 104) \[\underset{x\to \infty }{\mathop{\lim }}\,\sqrt{\frac{x-\sin x}{x+{{\cos }^{2}}x}}\]is equal to
A)
\[-1\]
done
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B)
\[0\]
done
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C)
\[\frac{1}{2}\]
done
clear
D)
\[1\]
done
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question_answer 105) The least number of times a fair coin must be tossed so that the probability of getting at least one head in at least \[0.8\] is:
A)
\[3\]
done
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B)
\[6\]
done
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C)
\[5\]
done
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D)
none of these
done
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question_answer 106) If\[\frac{dy}{dx}+y=2{{e}^{2x}}\], then\[y\]is equal to
A)
\[c{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}\]
done
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B)
\[(1+x){{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\]
done
clear
C)
\[c{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\]
done
clear
D)
\[{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\]
done
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question_answer 107) A particle is projected under gravity\[(g=9.81\,\,m/{{s}^{2}})\]with a velocity of \[29.43\,\,m/s\] at an elevation of\[{{30}^{o}}\]. The time of flight in seconds to a height of \[9.81\,\,m\] are
A)
\[1,\,\,2\]
done
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B)
\[5,\,\,1.5\]
done
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C)
\[1.5,\,\,2\]
done
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D)
\[2,\,\,3\]
done
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question_answer 108) \[\underset{x\to 1}{\mathop{\lim }}\,\frac{{{x}^{8}}-2x+1}{{{x}^{4}}-2x+1}\]equals
A)
\[3\]
done
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B)
\[0\]
done
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C)
\[-3\]
done
clear
D)
\[1\]
done
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question_answer 109) \[\underset{x\to \frac{\pi }{6}}{\mathop{\lim }}\,\frac{\sin 2x}{\sin x}\]is equal to
A)
\[\sqrt{3}\]
done
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B)
\[\frac{1}{\sqrt{3}}\]
done
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C)
\[2\]
done
clear
D)
\[\frac{1}{2}\]
done
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question_answer 110) The position vectors of three points are \[\widehat{\mathbf{i}},\,\,\widehat{\mathbf{i}}+2\widehat{\mathbf{j}}\] and\[\widehat{\mathbf{i}}+3\widehat{\mathbf{k}}\]. The area of the triangle formed by these three points, is
A)
\[3\,\,sq\,\,unit\]
done
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B)
\[3\sqrt{3}sq\,\,unit\]
done
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C)
\[4\,\,sq\,\,unit\]
done
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D)
\[5\,\,sq\,\,unit\]
done
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question_answer 111) \[\int_{0}^{\pi /3}{\frac{\cos x+\sin x}{\sqrt{1+\sin 2x}}}dx\]is equal to
A)
\[\frac{4\pi }{3}\]
done
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B)
\[\frac{2\pi }{3}\]
done
clear
C)
\[\pi \]
done
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D)
\[\frac{\pi }{3}\]
done
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question_answer 112) If \[x,\,\,\,y\] are any two elements of a Boolean lattice, then \[(x+y)\cdot (x+y')\cdot (x'+y)\] is equal to
A)
\[x+y\]
done
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B)
\[x\cdot y\]
done
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C)
\[x'+y\]
done
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D)
\[x\cdot y'\]
done
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question_answer 113) Area of quadrilateral whose vertices are \[(2,\,\,3)\] \[(3,\,\,4),\,\,(4,\,\,5)\] and \[(5,\,\,6)\] is equal to
A)
\[0\]
done
clear
B)
\[4\]
done
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C)
\[6\]
done
clear
D)
none of these
done
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question_answer 114) In a triangle vertex angles are \[A,\,\,\,B,\,\,\,C\] and side \[BC\] are given. The area of \[\Delta ABC\] is
A)
\[\frac{s(s-a)(s-b)(s-c)}{2}\]
done
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B)
\[\frac{{{b}^{2}}{{\sin }^{2}}\sin A}{\sin B}\]
done
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C)
\[ab\sin C\]
done
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D)
\[\frac{1}{2}\frac{{{a}^{2}}\sin B\sin C}{\sin A}\]
done
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question_answer 115) \[f(x)=\sin |x|\]. Then \[f(x)\] is not differentiable at
A)
\[x=0\] only
done
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B)
all\[x\]
done
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C)
multiples of\[\pi \]
done
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D)
multiples of\[\frac{\pi }{2}\]
done
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question_answer 116) Which of the following is a logical statement?
A)
Are you going to chennai?
done
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B)
Shyam is a handsome boy.
done
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C)
Alas ! I were a king.
done
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D)
Sum of two irrational number is always irrational.
done
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question_answer 117) For a given integer\[k\], in the interval \[\left[ 2\pi k-\frac{\pi }{2},\,\,2\pi k+\frac{\pi }{2} \right]\]the graph of \[\sin x\] is
A)
increasing from \[-1\] to \[1\]
done
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B)
decreasing from \[-1\] to \[0\]
done
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C)
decreasing from \[0\] to \[1\]
done
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D)
none of the above
done
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question_answer 118) Coefficient of the term independent of \[x\] in the expansion \[{{\left( x+\frac{1}{{{x}^{2}}} \right)}^{6}}\] is equal to
A)
10
done
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B)
15
done
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C)
16
done
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D)
none of these
done
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question_answer 119) A particle starts from rest with uniform acceleration and acquires a velocity of \[40\,\,m/s\] in\[10\,\,s\]. The displacement of the particle at the end of \[10\,\,s\] is
A)
\[4\,\,m\]
done
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B)
\[200\,\,m\]
done
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C)
\[20\,\,m\]
done
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D)
none of these
done
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question_answer 120) If\[P(A)=P(B)=P(C)=\frac{1}{4},\] \[P(AB)=P(CB)=0\]and\[P(A\cap C)=\frac{1}{8}\], then \[P(A+B)\] is equal to
A)
\[\frac{5}{8}\]
done
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B)
\[\frac{37}{64}\]
done
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C)
\[\frac{3}{4}\]
done
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D)
\[\frac{1}{2}\]
done
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question_answer 121) Angles \[A,\,\,\,B\] and \[C\] of a triangle are in \[AP\] with common difference \[15\] degree, then angle \[A\] is equal to
A)
\[{{45}^{o}}\]
done
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B)
\[{{60}^{o}}\]
done
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C)
\[{{75}^{o}}\]
done
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D)
\[{{30}^{o}}\]
done
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question_answer 122) Length of major axis of ellipse \[9{{x}^{2}}+7{{y}^{2}}=63\] is
A)
\[3\]
done
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B)
\[9\]
done
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C)
\[6\]
done
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D)
\[2\sqrt{7}\]
done
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question_answer 123) Area between curves\[y={{x}^{2}},\,\,x={{y}^{2}}\]is
A)
\[\frac{1}{9}sq\,\,unit\]
done
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B)
\[\frac{1}{3}sq\,\,unit\]
done
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C)
\[\frac{1}{\sqrt{3}}sq\,\,unit\]
done
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D)
\[\frac{2}{3}sq\,\,unit\]
done
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question_answer 124) \[\int{\log 2x\,\,dx}\]is equal to
A)
\[x\log 2x-\frac{{{x}^{2}}}{2}+c\]
done
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B)
\[x\log 2x-\frac{x}{2}+c\]
done
clear
C)
\[{{x}^{2}}\log 2x-\frac{x}{2}+c\]
done
clear
D)
\[x\log 2x-x+c\]
done
clear
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question_answer 125) \[f(x)=\frac{1}{{{x}^{2}}}\],is
A)
symmetric about \[x-\]axis
done
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B)
symmetric about \[y-\]axis
done
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C)
symmetric about \[x\] and \[y\] axes
done
clear
D)
none of the above
done
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question_answer 126) \[1,\,\,\,2,\,\,\,3,\,\,\,4\] are four numbers. How many numbers can be made using all four numbers
A)
\[1\]
done
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B)
\[3\]
done
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C)
\[2\]
done
clear
D)
\[64\]
done
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question_answer 127) \[f(x)=\left\{ \begin{matrix} \frac{\sin 3x}{\sin x}, & x\ne 0 \\ k, & x=0 \\ \end{matrix} \right.\]is continuous, if\[k\]is
A)
\[3\]
done
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B)
\[0\]
done
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C)
\[-3\]
done
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D)
\[-1\]
done
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question_answer 128) If\[y={{\tan }^{-1}}\left( \frac{\sqrt{1+{{x}^{2}}}-1}{x} \right)\], then\[y'(0)\]is
A)
\[1/2\]
done
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B)
\[0\]
done
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C)
\[1\]
done
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D)
does not exist
done
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question_answer 129) The slope of the tangent at the point \[(h,\,\,h)\] to the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] is
A)
\[0\]
done
clear
B)
\[1\]
done
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C)
\[-1\]
done
clear
D)
will depend on\[h\]
done
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question_answer 130) If\[A=\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right],\,\,\,I\]is the unit matrix of order\[2\] and \[a,\,\,\,b\]are arbitary constants, then \[{{(aI+bA)}^{2}}\] is equal to
A)
\[{{a}^{2}}I-abA\]
done
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B)
\[{{a}^{2}}I+2abA\]
done
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C)
\[{{a}^{2}}I+{{b}^{2}}A\]
done
clear
D)
none of these
done
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question_answer 131) The value of\[\tan {{1}^{o}}\tan {{2}^{o}}\tan {{3}^{o}}....tan{{89}^{o}}\]is equal to
A)
\[-1\]
done
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B)
\[2\]
done
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C)
\[\frac{\pi }{2}\]
done
clear
D)
\[1\]
done
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question_answer 132) Let \[\alpha \] and \[\beta \] be the roots of the equation \[{{x}^{2}}+x+1=0\], then the equation whose roots are \[{{\alpha }^{19}},\,\,{{\beta }^{7}}\], is
A)
\[{{x}^{2}}-x-1=0\]
done
clear
B)
\[{{x}^{2}}-x+1=0\]
done
clear
C)
\[{{x}^{2}}+x-1=0\]
done
clear
D)
\[{{x}^{2}}+x+1=0\]
done
clear
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question_answer 133) If sum of two unit vectors is also an unit vector, then the angle between the two vectors is
A)
\[\frac{\pi }{3}\]
done
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B)
\[\frac{\pi }{2}\]
done
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C)
\[\frac{\pi }{4}\]
done
clear
D)
\[\frac{2\pi }{3}\]
done
clear
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question_answer 134) Distance from the point \[(1,\,\,6,\,\,3)\] to the line \[\overset{\to }{\mathop{\mathbf{r}}}\,=(\widehat{\mathbf{j}}+2\widehat{\mathbf{k}})+\lambda (\widehat{\mathbf{i}}+2\widehat{\mathbf{j}}+3\widehat{\mathbf{k}})\]is
A)
\[\sqrt{13}\]
done
clear
B)
\[13\]
done
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C)
\[2\sqrt{3}\]
done
clear
D)
none of these
done
clear
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question_answer 135) The value of \[\int_{-\pi }^{\pi }{(1-{{x}^{2}})}\sin x{{\cos }^{2}}x\,\,\,dx\]is
A)
\[0\]
done
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B)
\[\pi -\frac{{{\pi }^{3}}}{3}\]
done
clear
C)
\[2\pi -{{\pi }^{3}}\]
done
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D)
\[\frac{7}{2}-2{{\pi }^{3}}\]
done
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question_answer 136) The equation of circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length\[3a\], is
A)
\[{{x}^{2}}+{{y}^{2}}=9{{a}^{2}}\]
done
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B)
\[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\]
done
clear
C)
\[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\]
done
clear
D)
\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]
done
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question_answer 137) The angle between the pair of tangents drawn to the ellipse \[3{{x}^{2}}+2{{y}^{2}}=5\] from the point \[(1,\,\,2)\] is
A)
\[{{\tan }^{-1}}\left( \frac{12}{5} \right)\]
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B)
\[{{\tan }^{-1}}(6\sqrt{5})\]
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C)
\[{{\tan }^{-1}}\left( \frac{12}{\sqrt{5}} \right)\]
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D)
\[{{\tan }^{-1}}(12\sqrt{5})\]
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question_answer 138) The values of \[x\] and \[y\] such that \[y\] satisfy the equation \[(x,\,\,\,y\,\,\,\in \] real numbers)\[{{x}^{2}}-xy+{{y}^{2}}-4x-4y+16=0\]is
A)
\[4,\,\,4\]
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B)
\[3,\,\,3\]
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C)
\[2,\,\,2\]
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D)
none of these
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question_answer 139) The complex number \[z=x+iy\] which satisfy the equation \[\left| \frac{z-5i}{z+5i} \right|=1\] lies on
A)
the axis of\[x\]
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B)
the straight line\[y=5\]
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C)
the circle passing through the origin
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D)
none of the above
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question_answer 140) \[\left( 1+\cos \frac{\pi }{8} \right)\left( 1+\cos \frac{3\pi }{8} \right)\left( 1+\cos \frac{5\pi }{8} \right)\]\[\left( 1+\cos \frac{7\pi }{8} \right)\]is equal to
A)
\[\frac{1}{2}\]
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B)
\[\cos \frac{\pi }{8}\]
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C)
\[\frac{1}{8}\]
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D)
\[\frac{1+\sqrt{2}}{2\sqrt{2}}\]
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question_answer 141) If \[a\le 0\], then one of the roots of\[{{x}^{2}}-2a|x-a|-3{{a}^{2}}=0\]is
A)
\[(-1+\sqrt{6})a\]
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B)
b)\[(\sqrt{6}-1)a\]
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C)
\[a\]
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D)
none of these
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question_answer 142) If the radius of the circumcircle of an isosceles triangle \[PQR\] is equal to\[PQ=PR\], then the angle \[P\] is
A)
\[\frac{\pi }{6}\]
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B)
\[\frac{\pi }{3}\]
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C)
\[\frac{\pi }{2}\]
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D)
\[\frac{2\pi }{3}\]
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question_answer 143) If\[{{z}_{r}}=\cos \left( \frac{\pi }{{{2}^{r}}} \right)+i\sin \left( \frac{\pi }{{{2}^{r}}} \right),\,\,r=1,\,\,2,\,\,....\]then\[{{z}_{1}},\,\,{{z}_{2}},\,\,{{z}_{3}}....\]is equal to
A)
\[1\]
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B)
\[-i\]
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C)
\[i\]
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D)
\[-1\]
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question_answer 144) The condition for which\[{{a}^{2}}{{x}^{4}}+b{{x}^{3}}+c{{x}^{2}}+dx+{{f}^{2}}\]may be a perfect square, is
A)
\[4{{a}^{2}}c-{{b}^{2}}=8{{a}^{3}}f\]
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B)
\[4{{a}^{2}}c=8{{a}^{3}}f\]
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C)
\[2{{a}^{3}}c={{a}^{3}}f\]
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D)
none of these
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question_answer 145) If\[\tan (\cot x)=\cot (\tan x)\], then\[\sin 2x\]is equal to
A)
\[\frac{2}{(2n+1)\pi }\]
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B)
\[\frac{2}{(2n+1)\pi }\]
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C)
\[\frac{2}{n(n+1)\pi }\]
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D)
\[\frac{4}{n(n+1)\pi }\]
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question_answer 146) Let\[a,\,\,b,\,\,c\]be real, if\[a{{x}^{2}}+bx+c=0\]has two real roots \[\alpha \] and \[\beta \], where\[\alpha <-2\]and\[\beta >2\], then
A)
\[4-\frac{2b}{a}+\frac{c}{a}<0\]
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B)
\[4+\frac{2b}{a}-\frac{c}{a}<0\]
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C)
\[4-\frac{2b}{a}+\frac{c}{a}=0\]
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D)
\[4+\frac{2b}{a}+\frac{c}{a}=0\]
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question_answer 147) The maximum value of \[{{x}^{3}}-3x\] in the interval \[[0,\,\,2]\] is
A)
\[-2\]
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B)
\[0\]
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C)
\[2\]
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D)
\[1\]
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question_answer 148) \[y\] intercept of line passes through \[(2,\,\,2)\] and is perpendicular to the line\[3x+y=3\], is
A)
\[\frac{1}{3}\]
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B)
\[\frac{2}{3}\]
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C)
\[1\]
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D)
\[\frac{4}{3}\]
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question_answer 149) If \[\alpha ,\,\,\beta ,\,\,\gamma \] be the angles which a line makes with the co-ordinates axes, then
A)
\[{{\sin }^{2}}\alpha +{{\cos }^{2}}\beta +{{\sin }^{2}}\gamma =1\]
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B)
\[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =1\]
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C)
\[{{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma =1\]
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D)
\[{{\cos }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =1\]
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question_answer 150) The value of \[x\] satisfying\[{{\sin }^{-1}}x+{{\sin }^{-1}}(1-x)={{\cos }^{-1}}x\] are
A)
\[0\]
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B)
\[1,\,\,-1\]
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C)
\[0,\,\,\frac{1}{2}\]
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D)
none of these
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