question_answer 1) A ray of light travels from an optically denser to a rarer medium. The critical angle for the two media is C. The maximum possible deviation of the ray will be :
A)
\[2C\]
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B)
\[\frac{\pi }{2}-C\]
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C)
\[\pi -C\]
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D)
\[\pi -2C\]
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question_answer 2) When one of the slits of Young's experiment is covered with a transparent sheet of thickness 4.8 mm, the central shifts to a position originally occupies by the 30th bright fringe. What should be the thickness of the sheet if the central fringe has to shift to the position occupied by 20th bright fringe?
A)
\[1.6\,mm\]
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B)
\[3.8\,mm\]
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C)
\[3.2\,mm\]
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D)
\[7.6\,mm\]
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question_answer 3) Light passes successively through two polarimeter tubes each of length 0.29 m. The first tube contains dextro rotatory solution of concentration\[60\,kg\,{{m}^{-3}}\]and specific rotation 0.01 rad\[{{m}^{2}}\,k{{g}^{-1}}.\]The second tube contains laevo rotatory solution of concentration \[30\,kg\,{{m}^{-5}}\]and specific rotation 0\[0.02\,\]rad \[{{m}^{2}}k{{g}^{-1}}.\]The net rotation produced is:
A)
\[{{0}^{o}}\]
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B)
\[{{15}^{o}}\]
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C)
\[{{10}^{o}}\]
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D)
\[{{20}^{o}}\]
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question_answer 4) \[{{\upsilon }_{O}}\]and\[{{\upsilon }_{E}}\]represent the velocities, \[{{\mu }_{O}}\]and \[{{\mu }_{E}}\]he the refractive indices of ordinary and extraordinary rays for a double refracting crystal. Then:
A)
\[{{\upsilon }_{O}}\le {{\mu }_{O}}\le {{\mu }_{E}},\]if the crystal is quartz
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B)
\[{{\upsilon }_{O}}\ge {{\upsilon }_{E}},{{\mu }_{O}}\le {{\mu }_{E}},\]if the crystal is calcite
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C)
\[{{\upsilon }_{o}}\ge {{\upsilon }_{E}},{{\mu }_{o}}\ge {{\mu }_{E}},\]if the crystal is quartz
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D)
\[{{\upsilon }_{1}}\le {{\upsilon }_{E}},{{\mu }_{o}}\ge {{\mu }_{E}},\]if the crystal is calcite.
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question_answer 5) A racing car moving towards a cliff, sounds its horn. The driver observes that the sound reflected from the cliff has a pitch one octave higher than the actual sound of the horn. If v is the velocity of sound, then the velocity of the car is:
A)
\[\upsilon /2\]
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B)
\[\upsilon /\sqrt{2}\]
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C)
\[\upsilon /4\]
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D)
\[\upsilon /3\]
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question_answer 6) The de-Broglie wavelength of an electron in the first Bohr orbit is:
A)
equal to half the circumference of the first orbit
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B)
equal to one fourth the circumference of the first orbit
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C)
equal to the circumference of the first orbit
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D)
equal to twice the circumference of the first orbit
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question_answer 7) Out of the following statements which is not true?
A)
Infrared radiations arise due to minor electron transitions in atoms.
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B)
Infrared radiations are used for long distance photography.
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C)
Sun is the natural source of infrared radiation.
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D)
Infrared radiations are detected by using a bolometer.
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question_answer 8) In nuclear fission the percentage of mass converted into energy is about:
A)
\[0.01%\]
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B)
\[10%\]
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C)
\[1%\]
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D)
\[0.1%\]
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question_answer 9) If \[{{l}_{1}},{{l}_{2}},{{l}_{3}},\]are the lengths of the emitter, base and collector of a transistor, then:
A)
\[{{l}_{3}}<{{l}_{2}}<{{l}_{1}}\]
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B)
\[{{l}_{1}}={{l}_{2}}={{l}_{3}}\]
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C)
\[{{l}_{3}}<{{l}_{1}}<{{l}_{2}}\]
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D)
(d \[{{l}_{3}}<{{l}_{1}}<{{l}_{2}}\]
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question_answer 10) When the conductivity of a semiconductor is only due to breaking of covalent bonds, the semiconductor is called:
A)
intrinsic
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B)
extrinsic
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C)
p-type
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D)
n-type
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question_answer 11) A very large number of balls are thrown vertically upwards in quick successions in such a way that the next ball is thrown when the previous one is at the maximum height. If the maximum height is 5 m, the number of balls thrown per minute is: (take\[g=10m/{{s}^{2}}\])
A)
80
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B)
120
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C)
40
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D)
60
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question_answer 12) The light reflected by a plane mirror may form a real image:
A)
if the rays incident on the mirror are converging
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B)
if the rays incident on the mirror are diverging
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C)
under no circumstances
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D)
if the object is placed very close to the mirror.
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question_answer 13)
A convex is made up of three different materials as shown in the figure. For a point object places on its axis, the number of images formed are:
A)
5
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B)
1
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C)
3
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D)
4
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question_answer 14) Light appears to travel in straight lines because:
A)
light consists of very small particles
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B)
the frequency of light is very small
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C)
the velocity of light is different for different colours
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D)
the wavelength of light is very small.
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question_answer 15) In Young's double slit experiment, the central bright fringe can be identified:
A)
as it a narrower than other bright fringes
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B)
by using white light instead of monochromatic light
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C)
as it has a greater intensity than other bright fringes
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D)
as it is wider than other bright fringes.
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question_answer 16) A railway engine whistling at a constant frequency moves with a constant speed. It goes past a stationary observer beside the railway track. Which of the following graphs best represent the variation of frequency of the sound n heard by the observer with the time t?
A)
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B)
done
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C)
done
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D)
done
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question_answer 17) The tension of a stretched string is increased by 69%. In order to keep its frequency of vibration constant, its length must be increased by:
A)
\[30%\]
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B)
\[~20%\]
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C)
\[~69%\]
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D)
\[\sqrt{69%}\]
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question_answer 18) Under the same conditions of temperature and pressure, the velocity of sound in oxygen and hydrogen are \[{{\upsilon }_{O}}\]and \[\upsilon H.\]Then:
A)
\[{{\upsilon }_{O}}=4{{\upsilon }_{H}}\]
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B)
\[{{\upsilon }_{H}}=4{{\upsilon }_{O}}\]
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C)
\[{{\upsilon }_{O}}={{\upsilon }_{H}}\]
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D)
\[{{\upsilon }_{H}}=16{{\upsilon }_{O}}\]
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question_answer 19) small drops of mercury, each of radius r and charge q coalesce to form a big drop. The ratio of the surface density of charge of each small drop with of the big drop is:
A)
64 : 1
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B)
1 : 64
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C)
1 : 4
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D)
4 : 1
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question_answer 20) Two capacitors of capacitances \[\text{3}\,\text{ }\!\!\mu\!\!\text{ F}\]and \[6\,\text{ }\!\!\mu\!\!\text{ F}\]are charged to a potential of 12 V each. They are now connected to each other, with the positive plate to each joined to the negative plate to the other. The potential difference across each will be:
A)
4V
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B)
6V
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C)
zero
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D)
3 V
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question_answer 21) The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is:
A)
\[{{120}^{o}}\]
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B)
\[~{{60}^{o}}\]
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C)
\[{{90}^{o}}\]
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D)
\[{{150}^{o}}\]
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question_answer 22)
The load versus elongation graph for four wires of the same meterials is shown in the figure. The thinnest wire is represented by the line:
A)
OC
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B)
OD
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C)
OA
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D)
OB
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question_answer 23) One kilogram of ice at \[\text{0}{{\,}^{\text{o}}}\text{C}\]is mixed with one kilogram of water at\[\text{80}{{\,}^{\text{o}}}\text{C}\text{.}\]The final temperature of the mixture is (take: specific heat of water \[=4200\,J\,k{{g}^{-1}}\,{{K}^{-1}},\] latent heat of ice\[=336\,kJ\,k{{g}^{-1}}\]).
A)
\[40{{\,}^{o}}C\]
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B)
\[~60{{\,}^{o}}C\]
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C)
\[~0{{\,}^{o}}C\]
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D)
\[~50{{\,}^{o}}C\]
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question_answer 24) A Carnot's engine is made to work between \[200{{\,}^{o}}C\]and\[0{{\,}^{o}}C\]first and then between \[0{{\,}^{o}}C\]and \[-200{{\,}^{o}}C.\]The ratio of efficiencies of the engine in the two cases is:
A)
\[1:1.73\]
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B)
\[1.73:1\]
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C)
\[1:2\]
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D)
\[1:1\]
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question_answer 25) An object is placed 12 cm to the left of a converging lens of focal length 8 cm. Another converging lens of 6 cm focal length is placed at a distance of 30 cm. to the right of the first lens. The second lens will produce:
A)
virtual enlarged image
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B)
no image
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C)
a real inverted image
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D)
a real enlarged image
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question_answer 26) The resistance of an incandescent lamp is:
A)
smaller when switched on
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B)
greater when switched off
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C)
the same whether it is switch off or switch on
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D)
greater when switched on
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question_answer 27) A superconductor exhibits perfect:
A)
ferromagnetism
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B)
ferrimagnetism
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C)
diamagnetism
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D)
paramagnetism
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question_answer 28) A magnet is dropped down an infinitely long vertical copper tube. Then:
A)
the magnet moves with continuously decreasing velocity and ultimately comes to rest
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B)
the magnet moves with continuously increasing velocity and ultimately acquires a constant terminal velocity
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C)
the magnet moves with continuously increasing velocity and acceleration
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D)
the magnet moves with continuously increasing velocity but constant acceleration.
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question_answer 29) Whenever a hydrogen atom emits a photon in the Balmer series, it:
A)
may emit another photon in the Paschen series
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B)
need not emit any more photon
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C)
may emit another photon in the Balmer series
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D)
must emit another photon in the Lyman series.
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question_answer 30) The SI unit of radioactivity is:
A)
Rutherford
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B)
Roentgen
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C)
Becqueral
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D)
Curie.
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question_answer 31) An ammeter and a voltmeter are joined in series to a cell. Their readings are A and V respectively. If a resistance is now joined in parallel with the voltmeter, then:
A)
A will decrease, V will increase
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B)
A will increase, V will decrease
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C)
both A and V will increase
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D)
both A and V will increase
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question_answer 32)
If each of the resistance of the network shown in figure is R, the equivalent resistance between A and B is:
A)
3R
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B)
5R
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C)
R/2
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D)
R
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question_answer 33) A cell supplies a current of 0.9 A through a \[2\Omega \]resistor and a current of 0-3 A through a \[7\Omega \]resistor. The internal resistance of the cell is:
A)
\[1.2\,\Omega \]
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B)
\[2.0\,\,\Omega \]
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C)
\[0.5\,\,\Omega \]
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D)
\[1.0\,\,\Omega \]
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question_answer 34)
A wire carrying current\[i\]is shaped as shown. Section AB is a quarter circle of radius r. The magnetic field is directed:
A)
perpendicular to the plane of the paper and directed into the paper
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B)
at an angle \[\pi /4\]to the plane of the paper
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C)
along the bisector of the angle ACB away from AB
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D)
along the bisector of ACB towards AB.
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question_answer 35)
The wire loop formed by joining two semicircular sections of radii\[{{R}_{1}}\]and\[{{R}_{2}}\]and centre C, carries a current\[I\]as shown. The magnetic field at C has a magnitude:
A)
\[\frac{{{\mu }_{0}}I}{2}\left( \frac{1}{{{R}_{1}}}-\frac{1}{{{R}_{2}}} \right)\]
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B)
\[\frac{{{\mu }_{0}}I}{4}\left( \frac{1}{{{R}_{1}}}-\frac{1}{{{R}_{2}}} \right)\]
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C)
\[\frac{{{\mu }_{0}}I}{2}\left( \frac{1}{{{R}_{1}}}+\frac{1}{{{R}_{2}}} \right)\]
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D)
\[\frac{{{\mu }_{0}}I}{4}\left( \frac{1}{{{R}_{1}}}+\frac{1}{{{R}_{2}}} \right)\]
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question_answer 36) To increase both the resolving power and magnifying power of a telescope:
A)
the focal length of the objective has to be increased
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B)
both the focal length and aperture of the objective has to be increased
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C)
the wavelength of light has to be decreased
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D)
the aperture of the objective has to be increased
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question_answer 37) Forty one tuning forks are arranged in increasing order of frequencies such that every fork gives 5 beats with the next. The last fork has a frequency that is double the frequency of the first fork is:
A)
210
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B)
400
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C)
205
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D)
200
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question_answer 38) In a stationary wave all the particles:
A)
in the region between two nodes vibrate in same phase
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B)
on either side of a node vibrate in same phase
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C)
of the medium vibrate in same phase
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D)
in the region between two antinodes vibrate in same phase.
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question_answer 39) A cylindrical tube, open at both ends, has a fundamental frequency\[{{f}_{0}}\]in air. The tube is dipped vertically into water such that half of its length is inside water. The fundamental frequency of the air column now is:
A)
\[{{f}_{0}}\]
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B)
\[3{{f}_{0}}/4\]
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C)
\[2{{f}_{0}}\]
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D)
\[{{f}_{0}}/2\]
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question_answer 40) A man \[x\]can hear upto 10 kHz and another man \[y\]upto 2 kHz. A note of frequency 500 Hz is produced before them from a stretched string then both will hear sounds of:
A)
different pitch but same quality
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B)
same pitch but different quality
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C)
same pitch and same quality
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D)
different pitch and different quality.
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question_answer 41) When 100 V D.C. is applied across a coil, a current of 1 A flows through it. When 100 V A.C. of 50 Hz is applied to the same, coil only 0.5 A flows. The inductance of the coil is:
A)
\[5.5\,mH\]
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B)
\[0.55\,mH\]
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C)
\[55\text{ }mH\]
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D)
\[~0.55\text{ }H.\]
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question_answer 42)
In the circuit shown in the figure, the A.C. source gives a voltage \[y=20\,cos\text{ (}2000t\text{)}.\]Neglecting source resistance, the voltmeter and ammeter reading will be:
A)
\[1.68\text{ }V,\text{ }0.47\text{ }A\]
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B)
\[~0\text{ }V,\text{ }0.47\text{ }A\]
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C)
\[5.6\,V,1.4\,A\]
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D)
\[0\,V,\,1.4\,A\]
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question_answer 43) In the Bohr model of the hydrogen atom, let R, V and E represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantity is proportional to the quantum number\[n\]?
A)
\[E/V\]
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B)
\[R/E\]
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C)
\[VR\]
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D)
\[RE\]
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question_answer 44) In a sample of radioactive material, what percentage of the initial number of active nuclei will decay during one mean life?
A)
63%
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B)
\[69.3%\]
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C)
37%
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D)
50%
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question_answer 45) A caesium photocell, with a steady potential difference of 60V across it, is illuminated by a bright point source of light 50 cm away. When the same light is places 1cm. away, the photoelectrons emitted from the cell:
A)
are half as numerous;
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B)
are one quarter as numerous
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C)
each carry one quarter of their previous energy
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D)
each carry one quarter of their previous momentum.
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question_answer 46) The equation\[y=A{{\cos }^{2}}\left[ 2\pi nt-2\pi \frac{x}{y} \right]\] represents a wave with:
A)
amplitude\[A/2,\]frequency\[2n\]and wavelength \[\lambda \]
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B)
amplitude\[A/2,\]frequency\[2n\]and wavelength\[\lambda /2\]
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C)
amplitude A, frequency \[n\]and wavelength
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D)
amplitude A, frequency\[2n\]and wavelength \[2\lambda \]
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question_answer 47) A light points fixed to one prong of a tuning fork touches a vertical plate. The fork is set vibrating and the plate is allowed to fall freely. If eight oscillations are counted when the plate falls through 10 cm, the frequency of the tuning fork is:
A)
280 Hz
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B)
360 Hz
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C)
56 Hz
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D)
56.0 Hz
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question_answer 48) Three point charges are placed at the comers of an equilateral triangle. Assuming only electrostatic forces are acting. Then the system:
A)
will be in equilibrium if the charges rotate about the centre of the triangle
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B)
can never be in equilibrium
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C)
will be in equilibrium if the charges have the same magnitudes but different signs
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D)
will be in equilibrium if the charges have different magnitude and different signs.
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question_answer 49) Two copper balls, each weighing 10 g are kept in air 10 cm apart. If one electron from every \[{{10}^{6}}\] atoms is transferred from one ball to the other, the coulomb force between them is: (atomic weight of copper is 63.5)
A)
\[2.0\times {{10}^{4}}N\]
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B)
\[2.0\times {{10}^{10}}N\]
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C)
\[2.0\,{{10}^{6}}N\]
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D)
\[2.0\times {{10}^{8}}N\]
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question_answer 50) What fraction of the energy drawn from the charging battery is stored in a capacitor?
A)
75%
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B)
100%
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C)
25%
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D)
50%
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question_answer 51) A projectile is moving at \[20\,\text{m}{{\text{s}}^{-1}}\]at its highest point, where it breaks into equal parts due to an internal explosion. One part moves vertically up at \[30\,\text{m}{{\text{s}}^{-1}}\]with respect to the ground. Then the other part will move at:
A)
\[20\,m{{s}^{-1}}\]
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B)
\[10\sqrt{31}\,m{{s}^{-1}}\]
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C)
\[50\,m{{s}^{-1}}\]
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D)
\[30\,m{{s}^{-1}}\]
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question_answer 52) A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is:
A)
R/2
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B)
R/3
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C)
R/5
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D)
R/4
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question_answer 53) From the top of a tower a stone is thrown up which reaches the ground in a time h. A second stone thrown down with the same speed reaches the ground in a time \[{{t}_{2}}.\]A third stone released from rest from the same between reaches the ground in a time \[{{t}_{3}}.\]Then:
A)
\[\frac{1}{{{t}_{3}}}=\frac{1}{{{t}_{2}}}-\frac{1}{{{t}_{1}}}\]
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B)
\[t_{3}^{2}=t_{1}^{2}-t_{2}^{2}\]
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C)
\[{{t}_{3}}=\frac{{{t}_{1}}+{{t}_{2}}}{2}\]
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D)
\[{{t}_{3}}=\sqrt{{{t}_{1}}{{t}_{2}}}\]
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question_answer 54)
Five rods of same dimensions are arranged as shown in the figure. They have thermal conductivities and \[{{k}_{5}}\] when points A and B are maintained at different temperatures. No heat flows through the central rod if:
A)
\[{{k}_{1}}{{k}_{4}}={{k}_{2}}{{k}_{3}}\]
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B)
\[{{k}_{1}}={{k}_{4}}\]and \[{{k}_{2}}={{k}_{3}}\]
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C)
\[\frac{{{k}_{1}}}{{{k}_{4}}}=\frac{{{k}_{2}}}{{{k}_{3}}}\]
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D)
\[{{k}_{1}}{{k}_{2}}={{k}_{3}}{{k}_{4}}\]
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question_answer 55) The energy spectrum of a black body exhibits a maximum around a wavelength\[{{\lambda }_{0}}.\]The temperature of the black body is now changed such that the energy is maximum around a wavelength\[3{{\lambda }_{0}}/4.\] The power radiated by the black body will now increase by a factor of:
A)
64/27
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B)
256/81
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C)
4/3
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D)
16/9
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question_answer 56) \[n\]identical bulbs, each designated to draw a power P from a certain voltage supply. The total power which they will draw is:
A)
\[P/n\]
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B)
\[P/{{n}^{2}}\]
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C)
\[np\]
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D)
\[P\]
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question_answer 57)
A and B are two conductors carrying a current \[\text{I}\]in the same direction,\[x\]and\[~y\]are two electron beams moving in the same direction. Then there will be :
A)
attraction between A and B, repulsion between \[x\] and \[y\]
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B)
repulsion between A and B, attraction between \[x\]and \[y\]
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C)
attraction between A and B and \[x\]and \[y\]
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D)
repulsion between A and B and \[x\]and \[y\]
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question_answer 58)
The current-voltage graph for a given metallic conductor at two different temperature \[{{\text{T}}_{\text{1}}}\]and \[{{\text{T}}_{2}}\]are as shown in the figure. Then:
A)
\[{{T}_{1}}<{{T}_{2}}\]
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B)
nothing can be said about \[{{T}_{1}}\]and \[{{T}_{2}}\]
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C)
\[{{T}_{1}}={{T}_{2}}\]
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D)
\[{{T}_{1}}>{{T}_{2}}\]
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question_answer 59)
The variation of the intensity of magnetisation \[(I)\] with respect to the magnetising field (H) in a diamagnetic substance is described by the graph:
A)
OC
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B)
OD
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C)
OA
done
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D)
OB
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question_answer 60)
An aluminium ring B faces an electromagnet A. The current \[I\]through A can be altered. Then which of the following statements is correct?
A)
If \[I\]decreases, A will repel B
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B)
Whether \[I\] increases or decreases, B will not experience any force
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C)
If \[I\] increases, A will repel B
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D)
If \[I\] increases, A will attract B
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question_answer 61) Glacial acetic acid is obtained by:
A)
chemically separating acetic acid
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B)
treating vinegar with dehydrating agents
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C)
crystallising, separating and melting acetic acid
done
clear
D)
distilling vinegar.
done
clear
View Answer play_arrow
question_answer 62) An organic acid without a carboxylic acid group is:
A)
picric acid
done
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B)
oxalic acid
done
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C)
vinegar
done
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D)
ascorbic acid
done
clear
View Answer play_arrow
question_answer 63) An ester used as medicine is:
A)
ethyl benzoate
done
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B)
methyl salicylate
done
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C)
methyl acetate
done
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D)
ethyl acetate
done
clear
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question_answer 64) Reaction of aniline with benzaldehyde is:
A)
polymerisation
done
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B)
condensation
done
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C)
addition
done
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D)
substitution
done
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View Answer play_arrow
question_answer 65) Halo alkane in the presence of alcoholic KOH undergoes:
A)
elimination
done
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B)
poly merisation
done
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C)
dimerisation
done
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D)
substitution
done
clear
View Answer play_arrow
question_answer 66) The simplest way to check whether a system is colloidal is by:
A)
electrodialysis
done
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B)
finding out particle size
done
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C)
Tyndall effect
done
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D)
Brownian movement.
done
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View Answer play_arrow
question_answer 67) An example for a strong electrolyte is:
A)
urea
done
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B)
ammonium hydroxide
done
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C)
sugar
done
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D)
sodium acetate
done
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View Answer play_arrow
question_answer 68) An example of a salt that will not hydrolyse is:
A)
\[C{{H}_{3}}COON{{H}_{4}}\]
done
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B)
\[C{{H}_{3}}COOK\]
done
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C)
\[N{{H}_{4}}Cl\]
done
clear
D)
\[KCl\]
done
clear
View Answer play_arrow
question_answer 69) \[C{{}^{14}}\]is:
A)
a natural non-radioactive isotope
done
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B)
an artificial non-radioactive isotope
done
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C)
an artificial radioactive isotope
done
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D)
a natural radioactive isotope.
done
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View Answer play_arrow
question_answer 70) A cuprous ore among the following is:
A)
cuprite
done
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B)
malachite
done
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C)
chalcopyrites
done
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D)
azurite
done
clear
View Answer play_arrow
question_answer 71) van der Waal's equation for \[n\]moles of a gas is:
A)
\[\left( P+\frac{{{n}^{2}}a}{{{V}^{2}}} \right)(V-nb)=RT\]
done
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B)
\[\left( P+\frac{na}{{{V}^{2}}} \right)(V-nb)=RT\]
done
clear
C)
\[\left( P+\frac{a}{{{V}^{2}}} \right)(V-b)=nRT\]
done
clear
D)
\[\left( P+\frac{{{n}^{2}}a}{{{V}^{2}}} \right)(V-b)=RT\]
done
clear
View Answer play_arrow
question_answer 72) Smallest among these species is:
A)
lithium
done
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B)
lithium ion
done
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C)
hydrogen
done
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D)
helium
done
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View Answer play_arrow
question_answer 73) Sodium chloride is an ionic compound where as hydrogen chloride gas is mainly convalent because :
A)
electronegativity difference in the case of hydrogen is less than 2.1.
done
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B)
hydrogen chloride is a gas
done
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C)
hydrogen is a non-metal
done
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D)
sodium is reactive.
done
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View Answer play_arrow
question_answer 74) Covalent compounds have low melting point because:
A)
covalent molecules are held by weak van der Waal?s force of attraction
done
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B)
covalent bond is less exothermic
done
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C)
covalent bond is weaker than ionic bond
done
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D)
covalent molecules have definite shape.
done
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question_answer 75) A neutral fertilizer among these compounds is:
A)
ammonium nitrate
done
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B)
urea
done
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C)
CAN
done
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D)
ammonium sulphate
done
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question_answer 76) A condensation polymer among the following polymers is:
A)
teflon
done
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B)
polysterene
done
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C)
PVC
done
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D)
decron
done
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question_answer 77) A compound that undergoes bromination easily is:
A)
toluene
done
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B)
benzoic acid
done
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C)
phenol
done
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D)
benzene
done
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View Answer play_arrow
question_answer 78) A sugar that is not a disacharide among the following is:
A)
galactose
done
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B)
lactose
done
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C)
maltose
done
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D)
sucrose
done
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View Answer play_arrow
question_answer 79) DryiAg soil invariably contains:
A)
butyric acid
done
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B)
stearic acid
done
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C)
lauric acid
done
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D)
linoleic acid
done
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View Answer play_arrow
question_answer 80) Hetrocyclic amino acid among these compound is:
A)
lysine
done
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B)
tyrosin
done
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C)
proline
done
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D)
serine
done
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question_answer 81) Aluminium oxide is not reduced by chemical reactions since:
A)
reducing agent contaminate
done
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B)
the process pollute the environment
done
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C)
aluminium oxide is highly stable
done
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D)
aluminium oxide is reactive.
done
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View Answer play_arrow
question_answer 82) Iron loses magnetic property at:
A)
melting point
done
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B)
1000 K
done
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C)
Curie point
done
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D)
boiling point
done
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View Answer play_arrow
question_answer 83) An example for a double salt is:
A)
potassium ferricyanide
done
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B)
cobalt hexamine chloride
done
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C)
cuprous sulphate
done
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D)
Mohr's salt.
done
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question_answer 84) The set of compounds in which the reactivity of halogen atom in the ascending order is:
A)
vinyl chloride, chloroethane, chlorobenzene
done
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B)
vinyl chloride, chlorobenzene, chloroethane
done
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C)
chloroethane, chlorobenzene, vinyl chloride
done
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D)
chlorobenzene, vinyl chloride, chloroethane.
done
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question_answer 85) Methanal is:
A)
\[C{{H}_{3}}CHO\]
done
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B)
\[C{{H}_{3}}COC{{H}_{3}}\]
done
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C)
\[C{{H}_{2}}OH\]
done
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D)
\[HCHO.\]
done
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View Answer play_arrow
question_answer 86) In the case of auto catalysis:
A)
product catalysis
done
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B)
solvent catalysis
done
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C)
reactant catalysis
done
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D)
heat produced in the reaction catalysis.
done
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View Answer play_arrow
question_answer 87) Which of the following statements is true?
A)
\[\Delta E\]is always greater than \[\Delta H\]
done
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B)
\[\Delta E\]is always less than \[\Delta H\]
done
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C)
\[\Delta E\]may be lesser or greater or equal to \[\Delta H\]
done
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D)
\[\Delta E\]is always proportional to \[\Delta H\]
done
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View Answer play_arrow
question_answer 88) Order of reaction is decided by:
A)
molecularity
done
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B)
pressure
done
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C)
temperature
done
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D)
mechanism of reaction as well as relative concentration of reactants
done
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question_answer 89) Half-life of a reaction is found to be inversely proportional to the cube of initial concentration. The order of reaction is:
A)
5
done
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B)
2
done
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C)
4
done
clear
D)
3
done
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View Answer play_arrow
question_answer 90) Which among the following statement is false?
A)
The adsorption may be mono layered or multilayered.
done
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B)
Particle size of adsorbent will not affect the amount of adsorption.
done
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C)
Increase of pressure increases amount of adsorption.
done
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D)
Increase of temperature may decrease the amount of adsorption.
done
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question_answer 91) Purine derivative among the following bases is:
A)
cytosine
done
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B)
guanine
done
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C)
uracil
done
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D)
thymine.
done
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View Answer play_arrow
question_answer 92) A drug that is antipyretic as well as analgesic is:
A)
penicillin
done
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B)
chloroquin
done
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C)
para acetamidophenol
done
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D)
chloropromazine hydrochloride.
done
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question_answer 93) For a \[f-\]orbital the values of \[m\]are:
A)
\[=1,0,+1\]
done
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B)
\[0,+1,0,+1,+\,2\]
done
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C)
\[-2,-1,0+1,+\,2\]
done
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D)
\[-3,-2,-1,0,+1,+\,2,+\,3\]
done
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question_answer 94) Chloride ion and potassium ion are isoelectronic. Then:
A)
potassium ion is relatively bigger
done
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B)
depends on the other cation and anion
done
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C)
their size are same
done
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D)
chloride ion is bigger than potassium ion.
done
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question_answer 95) In a reversible reaction a catalyst will affect:
A)
the rate of forward reaction and reverse reaction
done
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B)
neither the forward reaction nor the rate of reverse reaction
done
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C)
the rate of forward reaction
done
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D)
the rate of reverse reaction.
done
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question_answer 96) Pentavalence in phosphorous is more stable when compared to that of nitrogen even through they belong to same group is due to:
A)
reactivity of phosphorous
done
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B)
inert nature of nitrogen
done
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C)
dissimilar electronic configuration
done
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D)
larger size of phosphorous atom.
done
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question_answer 97) Aqueous solutions of hydrogen sulphide and sulphurdioxide when mixed together, yield:
A)
sulphur trioxide and water
done
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B)
hydrogen and sulphurous acid
done
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C)
sulphur and water
done
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D)
hydrogen peroxide and sulphur.
done
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question_answer 98) A salt producing hydrocarbon among these compounds is:
A)
ethane
done
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B)
methane
done
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C)
ethene
done
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D)
ethyne
done
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View Answer play_arrow
question_answer 99) Octane number is zero for:
A)
\[n-\]octane
done
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B)
\[iso-\]octane
done
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C)
\[n-\]heptane
done
clear
D)
\[iso-\] heptane
done
clear
View Answer play_arrow
question_answer 100) The intensive property among these quantities is:
A)
enthalpy
done
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B)
mass/volume
done
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C)
mass
done
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D)
volume
done
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question_answer 101) 30g of Mg and 30g of oxygen are reacted and the residual mixture contains:
A)
\[45\text{ }g\]of \[MgO\]and\[~15\text{ }g\] of\[{{O}_{2}}\]
done
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B)
\[50\text{ }g\]of\[~MgO\] and \[10\text{ }g\]of\[~{{O}_{2}}\]
done
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C)
\[60\text{ }g\] of\[MgO\]only
done
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D)
\[~40\text{ }g\] of \[MgO\]and \[20\text{ }g\]of \[{{O}_{2}}.\]
done
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question_answer 102) 3g of oxide of a metal is converted to chloride completely and it yielded 5 g of chloride. The equivalent weight of metal is:
A)
\[12\]
done
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B)
\[~20\]
done
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C)
\[33.25~~~~~~~~~~\]
done
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D)
\[2.325\]
done
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View Answer play_arrow
question_answer 103) 20 ml of \[\text{0}\text{.25}\,\text{N}\]strong acid and 30 ml \[\text{0}\text{.2}\,\text{N}\]of strong base are mixed; the resulting solution is:
A)
\[\text{0}\text{.02 N}\]acidic
done
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B)
\[0.025\]N basic
done
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C)
\[\text{ }\!\!~\!\!\text{ 0}\text{.02 N}\] basic
done
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D)
\[\text{ }\!\!~\!\!\text{ 0}\text{.025 N}\]acidic
done
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question_answer 104) The rate of forward reaction is two times that of reverse reaction at a given temperature and identical concentration. \[{{K}_{\text{equilibrium}}}\]is:
A)
\[2.5\]
done
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B)
\[2.0\]
done
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C)
\[0.5\]
done
clear
D)
\[1.5\]
done
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question_answer 105) A chemical reaction was carried out at 300 K and 280 K. The rate constants were found to be \[{{K}_{1}}\]and \[{{K}_{2}}\]respectively. Then:
A)
\[{{K}_{2}}=0.25\,{{K}_{1}}\]
done
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B)
\[{{K}_{2}}\approx 0.5\,{{K}_{1}}\]
done
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C)
\[{{K}_{2}}\approx 4{{K}_{1}}\]
done
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D)
\[{{K}_{2}}\approx 2{{K}_{1}}\]
done
clear
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question_answer 106) Ammonium ion is:
A)
neither an acid nor base
done
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B)
both an acid and a base
done
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C)
a conjugate acid
done
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D)
a conjugate base
done
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question_answer 107) Water is a:
A)
amphoteric acid
done
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B)
aprotic solvent
done
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C)
protophobic solvent
done
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D)
protophilic solvent
done
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question_answer 108) A smuggler could not carry gold by depositing iron on gold surface since:
A)
gold has higher standard reduction potential than iron
done
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B)
gold has lower standard reduction potential than iron
done
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C)
gold is denser
done
clear
D)
iron rusts.
done
clear
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question_answer 109) A, is an aqueous acid; B is an aqueous base. They are diluted separately, then:
A)
pH of A decreases and pH of B increases
done
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B)
pH of A increases and pH of B decreases till pH in each case is 7
done
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C)
pH of A and B increase
done
clear
D)
pH of B and A decrease.
done
clear
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question_answer 110) \[_{z}{{X}^{M}}+{{\,}_{2}}H{{e}^{4}}\to {{\,}_{15}}{{P}^{30}}+{{\,}_{0}}{{n}^{1}}.\]Then:
A)
\[Z=12,M=27\]
done
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B)
\[Z=13,M=27\]
done
clear
C)
\[Z=12,M=17\]
done
clear
D)
\[Z=13,M=28\]
done
clear
View Answer play_arrow
question_answer 111) Kinetic theory of gases presumes that collision between the molecules to be perfectly elastic because:
A)
collisions will not split the molecule
done
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B)
the molecules are tiny
done
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C)
the molecules are rigid
done
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D)
the temperature remains constant irrespective of collisions.
done
clear
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question_answer 112) Bio-gas production is more useful when compared to the direct use of dung because:
A)
both fuel value and fertilizer value are effectively utilized
done
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B)
production of bio-gas involves less labour
done
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C)
fuel is quickly produced
done
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D)
the fertilizer produced is a fluid.
done
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question_answer 113) Compounds with high heat of formation are less stable because:
A)
high temperature is required to synthesise them
done
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B)
molecules of such compounds are distorted
done
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C)
it is difficult to synthesise them
done
clear
D)
energy rich state leads to instability.
done
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question_answer 114) In the case of a radio isotope the value of \[{{T}_{1/2}}\]and \[\lambda \]are identical in magnitude. The value is:
A)
\[0.693\]
done
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B)
\[{{(0.693)}^{1/2}}\]
done
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C)
\[1/0.693\]
done
clear
D)
\[{{(0.693)}^{2}}\]
done
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question_answer 115) Heat of neutralisation of weak acid and strong base is less than the heat of neutralisation of strong acid and strong base due to:
A)
energy has to be spent for the total dissociation of weak acid
done
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B)
salt of weak acid and strong base is not stable
done
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C)
incomplete dissociation of weak acid
done
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D)
incomplete neutralisation of weak acid.
done
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question_answer 116) A radio isotope will not emit:
A)
gamma and alpha rays simultaneously
done
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B)
gamma rays only
done
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C)
alpha and beta rays simultaneously
done
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D)
beta and gamma rays simultaneously.
done
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View Answer play_arrow
question_answer 117) Heat treatment alters the properties of steel due to:
A)
chemical reaction on heating
done
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B)
partial rusting
done
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C)
change in the residual energy
done
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D)
change in the lattice structure due to differential rate of cooling.
done
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question_answer 118) Chemical bond implies:
A)
attraction and repulsion
done
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B)
attraction and repulsion balanced at a particular distance
done
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C)
attraction
done
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D)
repulsion.
done
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question_answer 119) Grignard reagent is not prepared in aqueous medium but prepared in either medium. Because:
A)
the reagent reacts with water
done
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B)
the reagent becomes inactive in water
done
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C)
it is insoluble in water
done
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D)
the reagent is highly reactive in water.
done
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question_answer 120) A lone pair of electrons in an atom implies:
A)
a pair of valence electrons not involved in bonding
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B)
a pair of electrons involved in bonding
done
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C)
a pair of electrons
done
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D)
a pair of valence electrons
done
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question_answer 121) The value of \[\underset{x\to \pi }{\mathop{\lim }}\,\frac{\sqrt{2+\cos x}-1}{{{(\pi -x)}^{2}}}\]is :
A)
1/4
done
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B)
2
done
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C)
1/2
done
clear
D)
zero
done
clear
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question_answer 122) If \[{{\tan }^{-1}}\frac{x+1}{x-1}+{{\tan }^{-1}}\frac{x-1}{x}={{\tan }^{-1}}(-7)\] then the value of \[x\] is:
A)
zero
done
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B)
\[~-2\]
done
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C)
1
done
clear
D)
2
done
clear
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question_answer 123) Let the function\[f:R\to R\] be defined by \[f(x)=2x+\cos x\]then \[f:\]
A)
has maximum at \[x=0\]
done
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B)
has minimum at \[x=\pi \]
done
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C)
is an increasing function
done
clear
D)
is a decreasing
done
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question_answer 124) If \[{{\cos }^{-1}}\sqrt{p}+{{\cos }^{-1}}\sqrt{1-p}+{{\cos }^{-1}}\sqrt{1-q}\]\[=\frac{3\pi }{4}\] then the value of \[q\] is:
A)
\[2/\sqrt{2}\]
done
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B)
\[1\]
done
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C)
\[1/2\]
done
clear
D)
\[1/3\]
done
clear
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question_answer 125) If the equation \[3{{x}^{2}}+xy-{{y}^{2}}-3x+6y+k=0\]represents a pair of lines, then the value of k is:
A)
9
done
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B)
1
done
clear
C)
\[-9\]
done
clear
D)
zero
done
clear
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question_answer 126) The acute angle in radians between the minute the hour hand of a clock when the time is 4 hours 20 minutes is:
A)
\[\pi /18\]
done
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B)
zero
done
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C)
\[\pi /6\]
done
clear
D)
\[\pi /9\]
done
clear
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question_answer 127) Let \[n\ge 5\]and\[b\ne 0.\]In the binomial expansion of \[{{(a-b)}^{n}},\] the sum of the 5th and 6th terms is zero then a/b equals:
A)
\[\frac{5}{n-4}\]
done
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B)
\[\frac{1}{5(n-4)}\]
done
clear
C)
\[\frac{n-5}{6}\]
done
clear
D)
\[\frac{n-4}{5}\]
done
clear
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question_answer 128) In a H.P. \[pth\]term is q and \[qth\]term is p. Then the \[pqth\]term is:
A)
zero
done
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B)
\[\frac{p+q}{pq}\]
done
clear
C)
1
done
clear
D)
\[\frac{pq}{p+q}\]
done
clear
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question_answer 129) Orbit of the earth around the sun is an ellipse with sun at one of its foci. If the semi-major axis is 150 million kilometers and the eccentricity is 1/60. The difference between the maximum and the minimum distance between the earth and the sun is:
A)
20 million km.
done
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B)
5 million km.
done
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C)
50 million km.
done
clear
D)
2.5 million km.
done
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question_answer 130) If \[{{\log }_{2}}7=x,\]then \[x\]is:
A)
a rational number such that \[0<x<2\]
done
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B)
an rational number
done
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C)
a rational number such that \[2<x<3\]
done
clear
D)
a prime number of the form \[7x+2\]
done
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question_answer 131) The value of \[{{\cos }^{2}}\frac{\pi }{12}+{{\cos }^{2}}\frac{\pi }{4}+{{\cos }^{2}}\frac{5\pi }{12}\]is
A)
\[2/3\]
done
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B)
\[\frac{2}{3+\sqrt{3}}\]
done
clear
C)
\[3/2\]
done
clear
D)
\[\frac{3+\sqrt{3}}{2}\]
done
clear
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question_answer 132) If \[0<x<\frac{\pi }{2},\]then the largest angle of a triangle whose sides are \[1,\,\sin x,\cos x\]is:
A)
\[\pi /3\]
done
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B)
\[\pi /2\]
done
clear
C)
\[\pi \]
done
clear
D)
\[\frac{\pi }{2}-x\]
done
clear
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question_answer 133) The general solution of the equation \[\sin \theta +\cos \theta =1\]is:
A)
\[\theta =2n\pi +\frac{\pi }{2},n=0,\pm 1,\,\pm 2\]
done
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B)
\[\theta -n\pi +\{{{(-1)}^{n}}+1\}\pi /4,n=0,\pm \,1,\pm \,2\]
done
clear
C)
\[\theta =n\pi +\{{{(-1)}^{n}}-1\}\frac{\pi }{4},n=0,\pm \,1,\,\pm 2\]
done
clear
D)
\[\theta =2n\pi ,n=0,\pm 1,\,\pm 2+...\]
done
clear
View Answer play_arrow
question_answer 134) If \[y={{\tan }^{-1}}\left( \frac{\cos x-\sin x}{\cos x+\sin x} \right),\]then \[\frac{dy}{dx}=\]
A)
\[-1\]
done
clear
B)
\[\sin 2\pi \]
done
clear
C)
\[\cos 2x\]
done
clear
D)
zero
done
clear
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question_answer 135) The differential of \[{{e}^{{{x}^{3}}}}\]with respect to \[\log x\] is:
A)
\[{{e}^{{{x}^{3}}}}\]
done
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B)
\[3{{x}^{2}}{{e}^{{{x}^{3}}}}+3{{x}^{2}}\]
done
clear
C)
\[3{{x}^{3}}{{e}^{{{x}^{3}}}}\]
done
clear
D)
\[3{{x}^{3}}{{e}^{{{x}^{3}}}}\]
done
clear
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question_answer 136) If 5 is one root of the equations \[\left| \begin{matrix} x & 3 & 7 \\ 2 & x & -2 \\ 7 & 8 & x \\ \end{matrix} \right|=0,\] then the other two roots of the equation are:
A)
\[-2,-7\]
done
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B)
\[-2,7\]
done
clear
C)
\[2,-7\]
done
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D)
\[2,7\]
done
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question_answer 137) The value of\[\sum\limits_{k=1}^{6}{\left( \sin \frac{2\pi k}{7}-i\cos \frac{2\pi k}{7} \right)}\]is:
A)
\[i\]
done
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B)
zero
done
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C)
\[-i\]
done
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D)
\[-1\]
done
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question_answer 138) If \[x=2\cot \,t+\cos 2t,\]\[y=2\sin t-\sin 2t\]then \[\frac{dy}{dx}\]at \[t=\frac{\pi }{4}\]is:
A)
\[1-\sqrt{2}\]
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B)
\[-(1+\sqrt{2})\]
done
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C)
\[\sqrt{2}\]
done
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D)
\[1/\sqrt{2}\]
done
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question_answer 139) If \[\vec{a},\vec{b},\vec{c}\]are mutually perpendicular unit vectors, then \[|\vec{a}+\vec{b}+\vec{c}|\]is equal to:
A)
3
done
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B)
\[\sqrt{3}\]
done
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C)
zero
done
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D)
1
done
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question_answer 140) If ABCDEF is a regular hexagon then \[\overrightarrow{AD}+\overrightarrow{EB}+\overrightarrow{FC}\] equals:
A)
zero
done
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B)
\[2\overrightarrow{AB}\]
done
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C)
\[4\overrightarrow{AB}\]
done
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D)
\[3\overrightarrow{AB}\]
done
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question_answer 141) The value of \[\int_{{}}^{{}}{\frac{dx}{\sqrt{2x-{{x}^{2}}}}}\]is:
A)
\[{{\sin }^{-1}}(1-x)+c\]
done
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B)
\[{{\sin }^{-1}}(x-1)+c\]
done
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C)
\[{{\sin }^{-1}}(1+x)+c\]
done
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D)
\[-\sqrt{2x-{{x}^{2}}}+c\]
done
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question_answer 142) Which of the following functions is a solution of the differential equation\[{{\left( \frac{dy}{dx} \right)}^{2}}-x\left( \frac{dy}{dx} \right)+y=0\]
A)
\[y=2x-4\]
done
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B)
\[y=2{{x}^{2}}-4\]
done
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C)
\[y=2\]
done
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D)
\[y=2x\]
done
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question_answer 143) \[y=a{{e}^{mx}}+b{{e}^{-mx}}\]satisfies which of the following differential equations:
A)
\[\frac{dy}{dx}+my=0\]
done
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B)
\[\frac{dy}{dx}-my=0\]
done
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C)
\[\frac{{{d}^{2}}y}{d{{x}^{2}}}-{{m}^{2}}y=0\]
done
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D)
\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{m}^{2}}y=0\]
done
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question_answer 144) Solution of the differential equation\[\frac{dx}{x}+\frac{dy}{y}=0\]is:
A)
\[\frac{1}{x}+\frac{1}{y}=c\]
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B)
\[\log x\log y=c\]
done
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C)
\[xy=c\]
done
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D)
\[x+y=c\]
done
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question_answer 145) The value of \[\int_{{}}^{{}}{{{x}^{3}}\log x\,dx}\]is:
A)
\[\frac{1}{16}(4{{x}^{4}}\log x-{{x}^{4}}+c)\]
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B)
\[\frac{1}{8}({{x}^{4}}\log x-4{{x}^{4}}+c)\]
done
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C)
\[\frac{1}{16}(4{{x}^{4}}\log x+{{x}^{4}}+c)\]
done
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D)
\[\frac{{{x}^{4}}\log x}{4}+c\]
done
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question_answer 146) The equation to the tangent to the curve \[y=b{{e}^{-x/a}}\]at the point where it crosses the \[y-\]axis is:
A)
\[ax+by=1\]
done
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B)
\[\frac{x}{a}-\frac{y}{b}=1\]
done
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C)
\[\frac{x}{a}+\frac{y}{b}=1\]
done
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D)
\[ax-by=1\]
done
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question_answer 147) The value of\[\int_{0}^{\pi }{\frac{dx}{5+3\cos x}}\]is:
A)
\[\pi /4\]
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B)
\[\pi /8\]
done
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C)
\[\pi /2\]
done
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D)
zero
done
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question_answer 148) If the vectors \[3\vec{i}+\vec{j}-2\vec{k},\vec{i}+2\vec{j}-3\vec{k},\]\[3\vec{i}+\lambda \vec{j}+5\vec{k}\] are co-planar, the value of is:
A)
\[-4\]
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B)
\[4\]
done
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C)
8
done
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D)
\[-8\]
done
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question_answer 149) Equation of the tangent and the normal drawn at the point (6, 0) on the ellipse\[\frac{{{x}^{2}}}{36}+\frac{{{y}^{2}}}{9}=1\]respectively are:
A)
\[x=6,y=0\]
done
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B)
\[y+x-6=0,y-x+6=0\]
done
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C)
\[x=0,y=3\]
done
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D)
\[x=-6,y=0\]
done
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question_answer 150) The equation to the parabola whose focus is \[(1,-1)\] and the directrix is \[x+y+7=0\]is:
A)
\[{{x}^{2}}+{{y}^{2}}-2xy-18x-10y=0\]
done
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B)
\[{{x}^{2}}-18x-10y-45=0\]
done
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C)
\[{{x}^{2}}+{{y}^{2}}-18x-10y-45=0\]
done
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D)
\[{{x}^{2}}+{{y}^{2}}-2xy-18x-10y-45=0\]
done
clear
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question_answer 151) If\[\omega =-\frac{1}{2}+\frac{\sqrt{3i}}{2},\]the value of the determinant\[\left| \begin{matrix} 1 & \omega & {{\omega }^{2}} \\ \omega & {{\omega }^{2}} & 1 \\ {{\omega }^{2}} & 1 & \omega \\ \end{matrix} \right|\]is:
A)
zero
done
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B)
3
done
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C)
\[-1\]
done
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D)
\[1\]
done
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question_answer 152) Two intersecting circles have their radii and 1 and\[\sqrt{3}\]meters. The distance between their centres is 2 meters. Then the overlapping area in sq. meters is:
A)
\[\frac{19\pi +6\sqrt{3}}{6}\]
done
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B)
\[\frac{5\pi +6\sqrt{3}}{6}\]
done
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C)
\[\frac{\pi }{6}\]
done
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D)
\[\frac{5\pi -6\sqrt{3}}{6}\]
done
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question_answer 153) Which of the statement in the following is false in respect of the conic\[{{x}^{2}}-3{{y}^{2}}-4x-6y-11=0\]
A)
length of the latus rectum is \[4/\sqrt{3}\]
done
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B)
asymptotes, intersect at right angles
done
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C)
the eccentricity of the conic is \[2/\sqrt{3}\]
done
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D)
centre of the conic is \[(2,-1)\]
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question_answer 154) Let\[{{z}_{1}}\]and\[{{z}_{2}}\]be nth roots of unity which subtend a right angle at the origin. Then \[n\]must be of the form:
A)
\[4k+3\]
done
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B)
\[4k\]
done
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C)
\[4k+3\]
done
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D)
\[4k+2\]
done
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question_answer 155) The height of the cylinder of maximum volume inscribed in a sphere of radius ?a? is:
A)
\[\frac{3a}{2}\]
done
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B)
\[\frac{\sqrt{2}a}{3}\]
done
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C)
\[\frac{a}{\sqrt{3}}\]
done
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D)
\[\frac{2}{\sqrt{3a}}\]
done
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question_answer 156) For all positive value of \[x\] and \[y,\]the value of \[\frac{(1+x+{{x}^{2}})(1+y+{{y}^{2}})}{xy}\]is:
A)
\[\le 9\]
done
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B)
\[<9\]
done
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C)
\[\ge 9\]
done
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D)
\[>9\]
done
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question_answer 157) How many nine digit numbers can be formed using the digits 2, 2, 3, 3, 5,5, 8, 8, 8 so that the odd digits occupy even positions:
A)
180
done
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B)
7560
done
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C)
60
done
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D)
16
done
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question_answer 158)
There are points in a plane of which p points are collinear. How many lines can be formed from these points:
A)
done
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B)
done
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C)
done
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D)
done
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question_answer 159)
If then is:
A)
done
clear
B)
done
clear
C)
1
done
clear
D)
zero
done
clear
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question_answer 160)
If for a triangle then the value of is:
A)
done
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B)
done
clear
C)
1
done
clear
D)
done
clear
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question_answer 161)
The value of is:
A)
done
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B)
done
clear
C)
zero
done
clear
D)
1
done
clear
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question_answer 162)
The value of is:
A)
done
clear
B)
done
clear
C)
done
clear
D)
zero
done
clear
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A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
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question_answer 164)
If
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
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A)
done
clear
B)
done
clear
C)
zero
done
clear
D)
1
done
clear
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A)
one-one and onto
done
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B)
neither one-one nor onto
done
clear
C)
one-one but not onto
done
clear
D)
onto but not one-one
done
clear
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question_answer 167)
For how many values of x in the closed interval the matrix is singular:
A)
zero
done
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B)
done
clear
C)
1
done
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D)
3
done
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question_answer 168)
is a group under matrix multiplication. Then which one of the following statements in respect of G is ture.
A)
is the inverse of itself
done
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B)
G is a finite group
done
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C)
is not an element of G
done
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D)
is an element of G.
done
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question_answer 169)
If two circles and intersect in two distinct points, then:
A)
done
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B)
done
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C)
done
clear
D)
done
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question_answer 170)
If are four distinct points on a circle, then is equal to:
A)
4
done
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B)
done
clear
C)
1
done
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D)
zero
done
clear
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question_answer 171) Which of the following linear congruences has no solution:
A)
done
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B)
done
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C)
done
clear
D)
done
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question_answer 172)
The digit in the unit place of the number is:
A)
6
done
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B)
7
done
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C)
zero
done
clear
D)
3
done
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A)
continuous but not differentiable
done
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B)
differentiable but not continuous
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C)
continuous and differentiable
done
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D)
not continuous
done
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question_answer 174) The perimeter of a sector is P. The area of the sector is maximum when its radius is:
A)
done
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B)
done
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C)
done
clear
D)
done
clear
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question_answer 175)
Which one of the following subsets of is a subgroup of
A)
done
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B)
done
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C)
done
clear
D)
done
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question_answer 176) The False statement in the following is:
A)
is contradiction
done
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B)
is a contradiction
done
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C)
P is a tautology
done
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D)
is a tautology.
done
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question_answer 177)
In the group under addition modulo
A)
zero
done
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B)
2
done
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C)
3
done
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D)
5
done
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question_answer 178)
The function is:
A)
an even function
done
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B)
an odd function
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C)
a periodic function
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D)
none of these
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question_answer 179)
The function is:
A)
increasing on
and decreasing on
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B)
decreasing on
and increasing on
done
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C)
increasing on
and decreasing on
done
clear
D)
decreasing on
and increasing on
done
clear
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question_answer 180)
The area of the circle centred at (1, 2) and passing through is:
A)
done
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B)
done
clear
C)
done
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D)
none of these
done
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