Solved papers for Manipal Engineering Manipal Engineering Solved Paper-2010

Manipal Engineering Solved Paper-2010 Total Questions - 240

1) In the figure shown, the magnetic field induction at the point 0 will be

A)

\[\frac{{{\mu }_{0}}i}{2\pi r}\]

B)

\[\left( \frac{{{\mu }_{0}}}{4\pi } \right)\left( \frac{i}{r} \right)(\pi +2)\]

C)

\[\left( \frac{{{\mu }_{0}}}{4\pi } \right)\left( \frac{i}{r} \right)(\pi +1)\]

D)

\[\frac{{{\mu }_{0}}i}{4\pi r}(\pi +1)\]

View Answer
2) In the electrical network shown in the figure, the potential difference across \[3\,\Omega \] resistance will be

A)

12V

B)

2.4V

C)

24V

D)

       36V

View Answer
3) Three identical thermal conductors are connected as shown in figure. Considering no heat loss due to radiation, temperature at the junction will be

A)

\[40{}^\circ C\]

B)

\[60{}^\circ C\]

C)

\[50{}^\circ C\]

D)

\[35{}^\circ C\]

View Answer
4) Surface tension vanishes at

A)

absolute zero temperature

B)

transition temperature

C)

critical temperature

D)

None of the above

View Answer
5) A transistor is working in common emitter mode. Its amplification factor (\[\beta \]) is 80. If the base current is 250\[\mu A\], the collector current will be

A)

1.25\[\mu A\]

B)

\[\frac{250}{80}\mu A\]

C)

430\[\mu A\]

D)

       \[250\times 80\,\mu A\]

View Answer
6) From an inclined plane two particles are projected with same speed at same angle \[\theta ,\] one up and other down the plane as shown in figure, which of the following statements is/are correct?

A)

The time of flight of each particle is the same

B)

The particles will collide the plane with same speed

C)

Both the particles strike the plane perpendicularly

D)

The particles will collide in midair if projected simultaneously and time of flight of each parrick is less than the time of collision

View Answer
7) A battery of emf 10 V is connected to resistance as shown in figure. The potential difference \[{{V}_{A}}-{{V}_{B}}\]between the points A and B is

A)

-2V

B)

2V

C)

5V

D)

       \[\frac{20}{11}V\]

View Answer
8) Solar radiation is

A)

transverse electromagnetic wave

B)

longitudinal electromagnetic wave

C)

stationary wave

D)

None of the above

View Answer
9) Fundamental frequency of an open pipe is \[{{f}_{0}},\]Fundamental frequency when it is half filled with water is

A)

\[{{f}_{0}}\]

B)

\[{{f}_{0}}/2\]

C)

\[2{{f}_{0}}\]

D)

       \[3{{f}_{0}}\]

View Answer
10) If the rms velocity of a gas is v, then

A)

\[{{v}^{2}}T\] = constant

B)

\[{{v}^{2}}/T\] = constant

C)

\[v{{T}^{2}}\] = constant

D)

v is independent of T

View Answer
11) A sounding source of frequency 500 Hz moves towards a stationary observer with a velocity 30 m/s. If the velocity of sound in air is 330 m/s, find the frequency beared by the observer.

A)

500 Hz

B)

550 Hz

C)

355 Hz

D)

       55.5 Hz

View Answer
12) At what height h above earth, the value of g becomes g/27 (.R = Radius of earth)

A)

3R

B)

\[\sqrt{2}R\]

C)

\[(\sqrt{2}-1)R\]

D)

       \[\frac{1}{\sqrt{2}}R\]

View Answer
13) A freshly prepared radioactive source of half-life 2 h emits radiation of intensity which is 64 times the permissible safe level. Calculate the minimum time after which it would be possible to work safely with this source.

A)

12 h

B)

24 h

C)

6 h

D)

       130 h

View Answer
14) The current in the circuit shown in the figure, considering ideal diode is

A)

20 A

B)

       \[2\times {{10}^{-3}}A\]

C)

200 A

D)

       \[2\times {{10}^{-4}}A\]

View Answer
15) The tension in the string in the pulley system shown in the figure is

A)

75 N

B)

80 N

C)

7.5 N

D)

       30 N

View Answer
16) A glass flask having mass 390 g and an interior volume of \[500\,c{{m}^{3}}\] floats on water when it is less than half filled with water. The density of material of the flask is

A)

0.8g/cc

B)

2.8g/cc

C)

1.8g/cc

D)

       0.28 g/cc

View Answer
17) The angle of minimum deviation \[{{\delta }_{m}}\] for an equilateral glass prism is 30°. Refractive index of the prism is

A)

\[1/\sqrt{2}\]

B)

\[\sqrt{2}\]

C)

\[2\sqrt{2}\]

D)

       \[1/2\sqrt{2}\]

View Answer
18) When the wavelength of sound changes from 1 m to 1.01 m, the number of beats heard are 4. The velocity of sound is

A)

404 m/s

B)

4.04 m/s

C)

414 m/s

D)

       400 m/s

View Answer
19) An ideal gas expands along the path AB as shown in the p-V diagram. The work done is

A)

\[4\times {{10}^{4}}J\]

B)

\[1.2\times {{10}^{5}}J\]

C)

\[2.4\times {{10}^{5}}J\]

D)

       None of these

View Answer
20) If force is proportional to square of velocity, then the dimensions of proportionality constant is

A)

\[[M{{L}^{-1}}T]\]

B)

\[[M{{L}^{-1}}{{T}^{0}}]\]

C)

\[[ML{{T}^{0}}]\]

D)

       \[[{{M}^{0}}L{{T}^{-1}}]\]

View Answer
21) Two bodies A and B having temperatures \[327{}^\circ C\] and \[427{}^\circ C\] are radiating heat to the surrounding. The surrounding temperature is \[27{}^\circ C\]. The ratio of rates of heat radiation of A to that of B is

A)

0.52

B)

0.31

C)

0.81

D)

       0.42

View Answer
22) Two bulbs 40 W and 60 W and rated voltage 240 V are connected in series across a potential difference of 420 V. Which bulb will work at above its rated voltage?

A)

60 W bulb

B)

40 W bulb

C)

       Both will work

D)

       None of these

View Answer
23) Two cars A and B move along a concentric circular path of radius \[{{r}_{A}}\]and \[{{r}_{B}}\] with velocities \[{{v}_{A}}\]and \[{{v}_{B}}\] maintaining constant distance, then \[\frac{{{v}_{A}}}{{{v}_{B}}}\]is equal to

A)

\[\frac{{{r}_{B}}}{{{r}_{A}}}\]

B)

\[\frac{{{r}_{A}}}{{{r}_{B}}}\]

C)

\[\frac{r_{A}^{2}}{r_{B}^{2}}\]

D)

       \[\frac{r_{B}^{2}}{r_{A}^{2}}\]

View Answer
24) A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 s on it, it moves with a velocity 2 m/s in the opposite direction. The acceleration produced in it is

A)

\[3\,m/{{s}^{2}}\]

B)

\[-3\,m/{{s}^{2}}\]

C)

\[0.3\,m/{{s}^{2}}\]

D)

       \[0.03\,m/{{s}^{2}}\]

View Answer
25) A beam of light is incident at 60° to a plane surface. The reflected and refracted rays are perpendicular to each other than refractive index of the surface is

A)

\[\sqrt{3}\]

B)

\[\frac{1}{\sqrt{3}}\]

C)

\[\frac{1}{2\sqrt{3}}\]

D)

       None of these

View Answer
26) Two wires of lengths \[l\] and \[2l,\] radii r and 2r respectively having same Youngs modulus are hung with a weight mg. Net elongation is

A)

\[\frac{3mgl}{\pi {{r}^{2}}Y}\]

B)

\[\frac{2mgl}{3\pi {{r}^{2}}Y}\]

C)

\[\frac{3mgl}{2\pi {{r}^{2}}Y}\]

D)

       \[\frac{3mgl}{4\pi {{r}^{2}}Y}\]

View Answer
27) A ball rolls off the top of stairway with a horizontal velocity of magnitude 1.8 m/s. The steps are 0.20 m high and 0.20 m wide. Which step will the ball hit first?

A)

First

B)

Second

C)

Third

D)

       Fourth

View Answer
28) The peak value of an alternating emf E given by \[E={{E}_{0}}\cos \omega t\] is 10 V and its frequency is 50 Hz. At a time \[t=\frac{1}{600}\]s, the instantaneous value of the emf is

A)

10 V

B)

\[5\sqrt{3}v\]

C)

5V

D)

       1V

View Answer
29) A circuit area \[0.01\,{{m}^{2}}\] is kept inside a magnetic field which is normal to its plane. The magnetic field changes from 2 T to 1 T in 1 ms. if the resistance of the circuit is 2\[\Omega \]. The amount of heat evolved is

A)

0.05 J

B)

50 J

C)

0.50 J

D)

       500 J

View Answer
30) A convex lens is placed between object and a screen. The size of object is 3 cm and an image of height 9 cm is obtained on the screen. When the lens is displaced to a new position, what will be the size of image on the screen?

A)

2 cm

B)

6 cm

C)

4 cm

D)

       1 cm

View Answer
31) A gas is suddenly expanded such that its final volume becomes 3 times its initial volume. If the specific heat at constant volume of the gas is 2R, then the ratio of initial to final pressures is nearly equal to

A)

5

B)

6.5

C)

7

D)

       3.5

View Answer
32) Two pendulums have time periods T and 5T/4. They start SHM at the same time from the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation?

A)

\[45{}^\circ \]

B)

\[90{}^\circ \]

C)

\[60{}^\circ \]

D)

\[30{}^\circ \]

View Answer
33) A body is coming with a velocity of 72 km/h on a rough horizontal surface of coefficient of friction 0.5. If the acceleration due to gravity is \[10\,m/{{s}^{2}},\] find the minimum distance it can be stopped.

A)

400m

B)

40m

C)

0.40m

D)

       4m

View Answer
34) A bullet comes out of the barrel of gun of length 2 m with a speed 80 m/s. The average acceleration of the bullet is

A)

\[1.6\,m/{{s}^{2}}\]

B)

\[160\,\,m/{{s}^{2}}\]

C)

\[1600\,\,m/{{s}^{2}}\]

D)

       \[16\,\,m/{{s}^{2}}\]

View Answer
35) A disc of radius 0.1 m is rotating with a frequency 10 rev/s in a normal magnetic field of strength 0.1 T. Net induced emf is

A)

\[2\pi \times {{10}^{-2}}v\]

B)

\[\pi \times {{10}^{-2}}v\]

C)

\[\frac{\pi }{2}{{10}^{-2}}V\]

D)

       None of these

View Answer
36) 1 \[c{{m}^{3}}\] of water at its boiling point absorbs 540 cal of heat to becomes steam with a volume of 1671 \[c{{m}^{3}}\]. If the atmospheric pressure \[=1.013\times {{10}^{5}}\,N/{{m}^{2}}\]and the mechanical equivalent of heat =4.19 J/cal, the energy spent in this process in overcoming intermolecular forces is

A)

540 cal

B)

40 cal

C)

500 cal

D)

       zero

View Answer
37) A string fixed at both ends oscillaress in 5 segments, length 10 m and velocity of wave is 20 m/s. What is the frequency?

A)

5 Hz

B)

15 Hz

C)

10 Hz

D)

       2 Hz

View Answer
38) When the amplitude of a body executing SHM becomes twice what happens?

A)

Maximum potential energy is doubled

B)

Maximum kinetic energy is doubled

C)

Total energy is doubled

D)

Maximum velocity is doubled

View Answer
39) The time period of a geostationary satellite at a height 36000 km is 24 h. A spy satellite orbits earth at a height 6400 km. What will be the time period of spy satellite? [Radius of the earth = 6400 km]

A)

5 h

B)

4 h

C)

3h

D)

       12 h

View Answer
40) A bomb of mass 9 kg explodes into two parts. One part of mass 3 kg moves with velocity 16 m/s, then the KE of the other part is

A)

162 J

B)

150 J

C)

192 J

D)

       200 J

View Answer
41) In the reaction \[_{7}{{N}^{14}}+\alpha {{\to }_{8}}{{X}^{17}}{{+}_{1}}{{p}^{1}}\] identify X.

A)

\[{{O}_{2}}\]

B)

\[{{N}_{2}}\]

C)

He

D)

       Ar

View Answer
42) Current in a coil changes from 5 A to 10 A in 0.2 s. If the coefficient of self-induction is 10 H, then the inducedi emf is

A)

112 V

B)

250 V

C)

125 V

D)

       230 V

View Answer
43) The force of interaction between two charges \[{{q}_{1}}=6\mu C\]and \[{{q}_{2}}=2\mu C\] N. If charge \[q=-2\mu C\] is added to each of the charges, then the new force of interaction is

A)

\[2\times {{10}^{-7}}N\]

B)

Zero

C)

30 N

D)

       \[2\times {{10}^{-3}}N\]

View Answer
44) The number of turns in primary coil of a transformer is 20 and the number of turns in the secondary is 10. If the voltage across the primary is 220 V, what is the voltage across the secondary?

A)

110 V

B)

130 V

C)

190 V

D)

       310 V

View Answer
45) An electron of an atom transits from\[{{n}_{1}}\], to \[{{n}_{2}}\] . In which of the following, maximum frequency of photon will be emitted?

A)

\[{{n}_{1}}=1\,to\,{{n}_{2}}=2\]

B)

\[{{n}_{1}}=2\,\,to\,\,{{n}_{2}}=1\]

C)

\[{{n}_{1}}=2\,\,to\,\,{{n}_{2}}=6\]

D)

\[{{n}_{1}}=6\,\,to\,\,{{n}_{2}}=2\]

View Answer
46) A rod of length L and mass M is bent to form a semicircular ring as shown in figure. The moment of inertia about XY is

A)

\[\frac{1}{4}\frac{M{{L}^{2}}}{{{\pi }^{2}}}\]

B)

\[\frac{2M{{L}^{2}}}{3{{\pi }^{2}}}\]

C)

\[\frac{M{{L}^{2}}}{2}\]

D)

       \[\frac{M{{L}^{2}}}{2}\]

View Answer
47)  In the figure shown, \[{{m}_{1}}=10kg,\,{{m}_{2}}=6\,kg,\] \[{{m}_{4}}=4kg.\,\,\,\]If\[{{T}_{3}}=40N,\,{{T}_{2}}=?.\,\,\,\]

A)

13 N

B)

32 N

C)

25 N

D)

       35 N

View Answer
48)  A stone is thrown at an angle 9 to be horizontal reaches a maximum height H. Then the time of flight of stone will be

A)

\[\sqrt{\frac{2H}{g}}\]

B)

\[2\sqrt{\frac{2H}{g}}\]

C)

\[\frac{2\sqrt{2H\,\sin \theta }}{g}\]

D)

       \[\frac{\sqrt{2H\,\sin \theta }}{g}\]

View Answer
49)  Two parallel plates of area A are separated by two different dielectrics as shown in figure. The net capacitance is

A)

\[\frac{{{\varepsilon }_{0}}A}{2d}\]

B)

                       \[\frac{{{\varepsilon }_{0}}A}{d}\]

C)

\[\frac{3{{\varepsilon }_{0}}A}{d}\]

D)

       \[\frac{4{{\varepsilon }_{0}}A}{3d}\]

View Answer
50)  Two springs of force constants \[{{k}_{1}}\] and \[{{k}_{2}}\] are connected as shown. The effective spring constant k is

A)

\[{{k}_{1}}+{{k}_{2}}\]

B)

\[\frac{{{k}_{1}}}{{{k}_{2}}}\]

C)

\[{{k}_{1}}{{k}_{2}}\]

D)

                       \[2{{k}_{1}}{{k}_{2}}\]

View Answer
51) A body of weight 2 kg is suspended as shown in figure. The tension \[{{T}_{1}}\] in the horizontal string (in kg-wt) is

A)

\[2/\sqrt{3}\]

B)

\[\sqrt{3}/2\]

C)

\[2\sqrt{3}\]

D)

2

View Answer
52)  If the momentum of a body is increased by 100%, then the percentage increase in the kinetic energy is

A)

150%

B)

200%

C)

225%

D)

300%

View Answer
53)  In Youngs double slit experiment, slit separation is 0.6 mm and the separation between slit and screen is 1.2 m. The angular width is (the wavelength of light used is \[4800\overset{\text{o}}{\mathop{\text{A}}}\,\])

A)

30 rad

B)

\[8\times {{10}^{-4}}\] rad

C)

12 rad

D)

       70.5 rad

View Answer
54) X-ray of wavelength \[\lambda =2\overset{0}{\mathop{A}}\,\]is emitted from the metal target. The potential difference applied across the cathode and the metal target is

A)

5525 V

B)

320 V

C)

6200 V

D)

       3250 V

View Answer
55)  Two identical masses m moving with velocities \[{{u}_{1}}\] and \[{{u}_{2}}\] collide perfectly inefasticatiy. Find the loss in energy.

A)

\[m({{u}_{1}}-u_{2}^{2})\]

B)

\[\frac{m}{4}{{({{u}_{1}}-{{u}_{2}})}^{2}}\]

C)

\[\frac{m}{2}{{({{u}_{1}}-{{u}_{2}})}^{2}}\]

D)

       \[m{{({{u}_{1}}-{{u}_{2}})}^{3}}\]

View Answer
56) A constant torque acting on a uniform circular wheel   changes   its angular momentum from \[{{A}_{0}}\] to \[4{{A}_{0}}\] in 4s. The magnitude of this torque is

A)

\[\frac{3{{A}_{0}}}{4}\]

B)

\[{{A}_{0}}\]

C)

4\[{{A}_{0}}\]

D)

       12\[{{A}_{0}}\]

View Answer
57) When a number of small droplets combines to form a large drop, then

A)

energy is absorbed

B)

energy is liberated

C)

energy is neither liberated nor absorbed

D)

process is independent of energy

View Answer
58) With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is \[\frac{2}{3}\]of the weight?

A)

\[\frac{2}{3}g\]

B)

g

C)

\[\frac{1}{3}g\]

D)

       Zero

View Answer
59) If two waves represented by \[{{y}_{1}}=4\sin \,\omega t\] and \[{{y}_{2}}=3\sin \left( \omega t+\frac{\pi }{3} \right)\]interfere at a point. The amplitude of the resulting wave will be about

A)

7

B)

6

C)

5

D)

       3.5

View Answer
60)  Saturated vapor is compressed to half its volume without any change in temperature, then the pressure will be

A)

doubled

B)

halved

C)

the same

D)

       Zero

View Answer
61) The root mean square velocity of a gas is doubled when the temperature is

A)

increased four times

B)

increased two times

C)

reduced to half

D)

reduced to one fourth

View Answer
62) Acidity of phenol is due to

A)

hydrogen bonding

B)

phenolic group

C)

benzene ring

D)

resonance stabilization of its anion

View Answer
63) In which one of the following pairs the radius of the second species is greater than that of the first?

A)

\[Na,\,\,Mg\]

B)

\[{{O}^{2-}},\,\,{{N}^{3-}}\]

C)

\[L{{i}^{+}},\,\,B{{e}^{2+}}\]

D)

       \[B{{a}^{2+}},\,\,S{{r}^{2+}}\]

View Answer
64) The radius of the first Bohr orbit of hydrogen atom is\[0.529\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]. The radius of the third orbit of\[{{H}^{+}}\]will be

A)

\[8.46\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

B)

\[0.705\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

C)

\[1.59\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

D)

       \[4.79\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

View Answer
65) Both\[C{{o}^{3+}}\]and\[P{{t}^{4+}}\]have a coordination number of six. Which of the following pairs of complexes will show approximately the same electrical conductance for their\[~0.001\,\,M\]aqueous solutions?

A)

\[CoC{{l}_{3}}\cdot 4N{{H}_{3}}\]and\[PtC{{l}_{4}}\cdot 4N{{H}_{3}}\]

B)

\[CoC{{l}_{3}}\cdot 3N{{H}_{3}}\]and\[PtC{{l}_{4}}\cdot 5N{{H}_{3}}\]

C)

\[CoC{{l}_{3}}\cdot 6N{{H}_{3}}\]and\[PtC{{l}_{4}}\cdot 5N{{H}_{3}}\]

D)

\[CoC{{l}_{3}}\cdot 6N{{H}_{3}}\]and\[PtC{{l}_{4}}\cdot 3N{{H}_{3}}\]

View Answer
66) When ice melts into water, the entropy

A)

becomes zero

B)

remains same

C)

decreases

D)

       increases

View Answer
67) Reduction of nitrobenzene in the presence of\[Zn/N{{H}_{4}}Cl\]gives

A)

azobenzene

B)

hydrazobenzene

C)

N-phenyl hydroxyl amine

D)

aniline

View Answer
68) Which one of the following is not a protein?

A)

Wool

B)

                                       Nail

C)

Hair

D)

       DNA

View Answer
69) Which of the following hexoses will form the same osazone when treated with excess phenyl hydrazine?

A)

D-glucose, D-fructose and D-galactose

B)

D-glucose, D-fructose and D-mannose

C)

D-glucose, D-mannose and D-galactose

D)

D-fructose, D-mannose and D-galactose

View Answer
70) A silver cup is plated with silver by passing 965C of electricity. The amount of\[Ag\]deposited is

A)

107.89 g

B)

9.89 g

C)

1.0002 g

D)

       1.08 g

View Answer
71) The standard emf of a cell involving one electron change is found to be\[0.591V\]at\[{{25}^{o}}C\]. The equilibrium constant of the reaction is \[(F=96,500\,\,C\,\,mo{{l}^{-1}})\]

A)

\[1.0\times {{10}^{1}}\]

B)

\[1.0\times {{10}^{5}}\]

C)

\[1.0\times {{10}^{10}}\]

D)

       \[1.0\times {{10}^{30}}\]

View Answer
72) \[E{}^\circ \]values of\[M{{g}^{2+}}/Mg\]is\[-2.37\,\,V\]of\[Z{{n}^{2+}}/Zn\]is\[-0.76\,\,V\] and\[F{{e}^{2+}}/Fe\]is\[-0.44\,\,V\]. Which of the statements is correct?

A)

\[Zn\]will reduce\[F{{e}^{2+}}\]

B)

\[Zn\]will reduce\[M{{g}^{2+}}\]

C)

\[Mg\]oxidizes\[Fe\]

D)

\[Zn\]oxidizes\[Fe\]

View Answer
73) The maximum proportion of available volume that can be filled by hard spheres in diamond is

A)

0.52

B)

0.34

C)

0.32

D)

       0.68

View Answer
74) If we mix a pentavalent impurity in a crystal lattice of germanium, what type of semiconductor formation will occur?

A)

\[p-\]type

B)

\[n-\]type

C)

Both (a) and (b)

D)

None of the two

View Answer
75) Which one of the following complexes is an outer orbital complex? (Atomic numbers\[Mn=25,\,\,Fe=26,\,\,Co=27,\] \[Ni=28\])

A)

\[{{[Fe{{(CN)}_{6}}]}^{4-}}\]

B)

\[{{[Mn{{(CN)}_{6}}]}^{4-}}\]

C)

\[{{[Co{{(N{{H}_{3}})}_{6}}]}^{3+}}\]

D)

\[{{[Ni{{(N{{H}_{3}})}_{6}}]}^{2+}}\]

View Answer
76) The product of reaction between alcoholic silver nitrite with ethyl bromide is

A)

ethene

B)

ethane

C)

ethyl nitrile

D)

       nitro ethane

View Answer
77) \[Iso-\]propyl chloride undergoes hydrolysis by

A)

\[{{S}_{N}}1\] mechanism

B)

\[{{S}_{N}}2\]mechanisms

C)

\[{{S}_{N}}1\]and\[{{S}_{N}}2\]mechanisms

D)

Neither\[{{S}_{N}}1\]nor\[{{S}_{N}}2\]mechanism

View Answer
78) \[o-\]toluic acid on reaction with\[B{{r}_{2}}+Fe\]gives

A)

B)

C)

D)

View Answer
79) Consider the acidity of the carboxylic acids

I.\[PhCOOH\]

II.\[o-N{{O}_{2}}{{C}_{6}}{{H}_{4}}COOH\]

III.\[p-N{{O}_{2}}{{C}_{6}}{{H}_{4}}COOH\]

IV.\[m-N{{O}_{2}}{{C}_{6}}{{H}_{4}}COOH\]

Which of the following order is correct?

A)

\[I>II>III>IV\]

B)

\[II>IV>III>I\]

C)

\[II>IV>I>III\]

D)

\[II>III>IV>I\]

View Answer
80) Which of the following does not answer iodoform test?

A)

\[n-\]butyl alcohol

B)

Acetophenone

C)

Acetaldehyde

D)

Ethylmethyl ketone

View Answer
81) Which one of the following undergoes reaction with 50% sodium hydroxide solution to give the corresponding alcohol and acid?

A)

Phenol

B)

Benzaldehyde

C)

Butanal

D)

       Benzoic acid

View Answer
82) The\[IUPAC\]name of \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\mathop{CH}}\,-CH=\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,-CHO\]is

A)

4-hydroxy-1-methylpentanal

B)

4-hydroxy-2-methylpent-2-en-1 -al

C)

2-hydroxy-4-methylpent-3-en-5 -al

D)

2-hydroxy-3-methylpent-2-en-5-al

View Answer
83) The activation energy of exothermic reaction \[A\to B\]is\[80\,\,kJ\,\,mo{{l}^{-1}}\]. The heat of reaction is\[200\,\,kJ\,\,mo{{l}^{-1}}\]. The activation energy for the reaction\[B\to A\]\[(in\,\,kJ\,\,mo{{l}^{-1}})\]will be

A)

80

B)

120

C)

40

D)

       280

View Answer
84) Which of the following electrolytes is least effective in coagulating ferric hydroxide solution?

A)

\[KBr\]

B)

\[{{K}_{2}}S{{O}_{4}}\]

C)

\[{{K}_{2}}Cr{{O}_{4}}\]

D)

\[{{K}_{4}}[Fe{{(CN)}_{6}}]\]

View Answer
85) Of the following outer electronic configurations of atoms, the highest oxidation state is achieved by which one of them?

A)

\[(n-1){{d}^{8}},\,\,n{{s}^{2}}\]

B)

\[(n-1){{d}^{5}},\,\,n{{s}^{1}}\]

C)

\[(n-1){{d}^{3}},\,\,n{{s}^{2}}\]

D)

\[(n-1){{d}^{5}},\,\,n{{s}^{2}}\]

View Answer
86) The relative lowering of vapour pressure of a dilute aqueous solution containing nonvolatile solute is 0.0125. The molality of the solution is about

A)

0.70

B)

0.50

C)

0.90

D)

       0.80

View Answer
87) When hydrogen peroxide is added to acidified potassium dichromate, a blue colour is produced due to formation of

A)

\[CrC{{O}_{3}}\]

B)

\[C{{r}_{2}}{{O}_{3}}\]

C)

\[Cr{{O}_{5}}\]

D)

\[CrO_{4}^{2-}\]

View Answer
88) In the following reaction, \[NaOH+S\xrightarrow{{}}A+N{{a}_{2}}S+{{H}_{2}}O;A\]is

A)

\[N{{a}_{2}}S{{O}_{4}}\]

B)

\[N{{a}_{2}}S{{O}_{3}}\]

C)

       \[N{{a}_{2}}S\]

D)

       \[N{{a}_{2}}{{S}_{2}}{{O}_{3}}\]

View Answer
89) On igniting\[F{{e}_{2}}{{O}_{3}}\]at\[{{1400}^{o}}C\], the product obtained is

A)

\[F{{e}_{2}}{{O}_{3}}\,\,melt\]

B)

\[FeO\]

C)

\[F{{e}_{3}}{{O}_{4}}\]

D)

metallic iron

View Answer
90) Sulphuric acid has great affinity for water because

A)

it hydrolyses the acid

B)

it decomposes the acid

C)

acid forms hydrates with water

D)

acid decomposes water

View Answer
91) Helium-oxygen mixture is used by deep sea divers in preference to nitrogen-oxygen mixture because

A)

helium is much less soluble in blood than nitrogen

B)

nitrogen is much less soluble in blood than helium

C)

due to high pressure deep under the sea nitrogen and oxygen react to give poisonous nitric oxide

D)

nitrogen is highly soluble in water

View Answer
92) One mole of\[C{{O}_{2}}\]contains

A)

\[3\,\,g\]atoms of\[C{{O}_{2}}\]

B)

\[18.1\times {{10}^{23}}\]molecules of\[C{{O}_{2}}\]

C)

\[6.02\times {{10}^{23}}\]atoms of\[O\]

D)

\[6.02\times {{10}^{23}}\]atoms of\[C\]

View Answer
93) The equivalent weight of \[KMn{{O}_{4}}\] for acid solution is

A)

79

B)

52.16

C)

                     158

D)

       31.6

View Answer
94) Which has the highest weight?

A)

\[1\,\,{{m}^{3}}\]of water

B)

A normal adult man

C)

\[10\,\,L\]of\[Hg\]

D)

All have same weight

View Answer
95) Which has the highest\[e/m\]ratio?

A)

\[H{{e}^{2+}}\]

B)

\[{{H}^{+}}\]

C)

\[H{{e}^{+}}\]

D)

                       \[{{D}^{+}}\]

View Answer
96) The ionization potential order for which set is correct?

A)

\[Cs<Li<K\]

B)

\[Cs>Li>B\]

C)

       \[Li>K>Cs\]

D)

       \[B>Li<K\]

View Answer
97) The oxidation state of\[Fe\]in\[F{{e}_{3}}{{O}_{4}}\]is

A)

\[+3\]

B)

       \[8/3\]

C)

\[+6\]

D)

       \[+2\]

View Answer
98) For a first order reaction, the concentration changes from 0.8 to 0.4 in 15 min. The time taken for the concentration to change from \[0.01\,\,M\]to\[0.025\,\,M\] is

A)

30 min

B)

15 min

C)

       7.5 min

D)

       60 min

View Answer
99) When phenol is treated with excess of bromine water, it gives

A)

\[m-\]bromophenol

B)

\[o-\]and prbromophenols

C)

\[2,\,\,4-\]dibromophenol

D)

\[2,\,\,4,\,\,6-\]tribromophenol

View Answer
100) Which reaction is suitable for the preparation of \[\alpha -\]chloroacetic acid?

A)

Hell-Volhard Zelinsky reaction

B)

Nef reaction

C)

Stephens reaction

D)

Perkin condensation

View Answer
101) Which one of the following compounds will dissolve in an alkali solution after it has undergone reaction with Hinsberg reagent?

A)

\[C{{H}_{3}}N{{H}_{2}}\]

B)

\[{{(C{{H}_{3}})}_{3}}N\]

C)

       \[{{({{C}_{2}}{{H}_{5}})}_{2}}NH\]

D)

       \[{{C}_{6}}{{H}_{5}}NH{{C}_{6}}{{H}_{5}}\]

View Answer
102) Angle strain in cyclopropane is

A)

\[24{}^\circ 44\]

B)

\[9{}^\circ 44\]

C)

\[44\]

D)

       \[-5{}^\circ 16\]

View Answer
103) A group of atoms can function as a ligand only when

A)

it is a small molecule

B)

it has an unshared electron pair

C)

it is a negatively charged ion

D)

it is a positively charged ion

View Answer
104) The bond order in\[NO\]is 2.5 while that in\[N{{O}^{+}}\]is 3. Which of the following statements is true for these two species?

A)

Bond length in\[N{{O}^{+}}\]is greater than in\[NO\]

B)

Bond length in\[NO\]is greater than In\[N{{O}^{+}}\]

C)

Bond length in\[N{{O}^{+}}\]is equal to that in\[NO\]

D)

Bond length is unpredictable

View Answer
105) In a homonuclear molecule which of the following set of orbitals is degenerate?

A)

\[\sigma 2s\]and\[\sigma 1s\]

B)

\[\pi 2{{p}_{x}}\]and\[\pi 2{{p}_{y}}\]

C)

       \[\pi 2{{p}_{x}}\]and\[\sigma 2{{p}_{z}}\]

D)

       \[\sigma 2{{p}_{z}}\]and\[\pi 2{{p}_{x}}\]

View Answer
106) The pH of a neutral water sample is 6.5. Then the temperature of water

A)

is\[{{25}^{o}}C\]

B)

is more than\[{{25}^{o}}C\]

C)

is less than \[{{25}^{o}}C\]

D)

can be more or less than\[{{25}^{o}}C\]

View Answer
107) Which is Lewis acid?

A)

\[B{{F}_{3}}\]

B)

\[N{{F}_{3}}\]

C)

\[C{{l}^{-}}\]

D)

       \[{{H}_{2}}O\]

View Answer
108) The\[pH\]of\[{{10}^{-10}}M\,\,NaOH\]solution is nearest to

A)

4

B)

-10

C)

4

D)

       7

View Answer
109) Which of the following is not true for carbanions?

A)

The carbon carrying the charge has eight valence electrons

B)

They are formed by heterolytic fission

C)

They are paramagnetic

D)

The carbon carrying the charge is \[s{{p}^{3}}\] hybridized

View Answer
110) Which among the following statements is correct with respect to the optical isomers?

A)

Enantiomers are non-superimposable mirror images

B)

Diastereomers are superimposable mirror images

C)

Enantiomers are superimposable mirror images

D)

Meso forms have no plane of symmetry

View Answer
111) Inductive effect involves

A)

delocalisation of\[\sigma -\]electrons

B)

displacement of\[\sigma -\]electrons

C)

delocalisation of \[n-\]electrons

D)

displacement of\[\pi -\]electrons

View Answer
112) The solubility of\[AgCl\]in\[0.2\,\,M\,\,NaCl\]solution is\[({{K}_{sp}}\,\,of\,\,AgCl=1.20\times {{10}^{-10}})\]

A)

\[6.0\times {{10}^{-10}}M\]

B)

\[0.2M\]

C)

       \[1.2\times {{10}^{-10}}M\]

D)

       \[0.2\times {{10}^{-10}}M\]

View Answer
113) Lipids are

A)

nucleic acids occurring in plants

B)

proteins occurring in animals

C)

carbohydrates occurring in plants

D)

fats of natural origin

View Answer
114) The enzyme pepsin hydrolyses

A)

proteins to amino acids

B)

fats to fatty acids

C)

glucose to ethyl alcohol

D)

polysaccharides to monosaccharides

View Answer
115) Carboy cannot be used in the reduction of\[A{{l}_{2}}{{O}_{3}}\]because

A)

it is an expensive proposition

B)

the enthalpy of formation of\[C{{O}_{2}}\]is more than that of\[A{{l}_{2}}{{O}_{3}}\]

C)

pure carbon is not easily available

D)

the enthalpy of formation of\[A{{l}_{2}}{{O}_{3}}\]is too high

View Answer
116) Oxalic acid when heated with cone\[{{H}_{2}}S{{O}_{4}}\], gives

A)

\[{{H}_{2}}{{O}_{2}}\]and\[C{{O}_{2}}\]

B)

       \[CO\]and\[C{{O}_{2}}\]

C)

       \[{{H}_{2}}{{O}_{2}}\]and\[CO\]

D)

       \[CaC{{l}_{2}}\]

View Answer
117) At\[{{25}^{o}}C\], the highest osmotic pressure is exhibited by\[0.1\,\,M\]solution of

A)

urea

B)

glucose

C)

\[KCl\]

D)

       \[CaC{{l}_{2}}\]

View Answer
118) Ammonia is dried over

A)

slaked lime

B)

calcium chloride

C)

phosphorus pentoxide

D)

quicklime

View Answer
119) \[{{C}_{6}}{{H}_{6}}\xrightarrow[350\,\,K]{{{H}_{2}}S{{O}_{4}}}A\xrightarrow[Fusion]{Alkali}B\xrightarrow[{{H}_{2}}O]{B{{r}_{2}}}C\] In the above sequence, C is

A)

\[o-\]bromophenol

B)

\[p-\]bromophenol

C)

\[m-\]bromophenol

D)

\[2,\,\,4,\,\,6-\]tribromophenol

View Answer
120) Collins reagent is used to convert

A)

\[\rangle C=O\xrightarrow{{}}\rangle CHOH\]

B)

\[-C{{H}_{2}}OH\xrightarrow{{}}-CHO\]

C)

\[-CHO\xrightarrow{{}}COOH\]

D)

\[-CHO\xrightarrow{{}}-C{{H}_{2}}OH\]

View Answer
121) The range of the function\[f(x)={{\log }_{e}}(3{{x}^{2}}-4x+5)\]is

A)

\[\left( -\infty ,\,\,{{\log }_{e}}\frac{11}{3} \right]\]

B)

\[\left[ {{\log }_{e}}\frac{11}{3},\,\,\infty \right)\]

C)

\[\left[ -{{\log }_{e}}\frac{11}{3},\,\,{{\log }_{e}}\frac{11}{3} \right]\]

D)

None of the above

View Answer
122) The    domain    of    the    function \[f(x)=\frac{\sqrt{9-{{x}^{2}}}}{{{\sin }^{-1}}(3-x)}\]

A)

\[(2,\,\,3)\]

B)

\[[2,\,\,3)\]

C)

\[(2,\,\,3]\]

D)

       None of these

View Answer
123) The numbers\[a{{}_{n}}s\]are defined by \[{{a}_{0}}=1,\,\,{{a}_{n+1}}=3{{n}^{2}}+n+{{a}_{n}},\,\,(n\ge 0)\] Then,\[{{a}_{n}}\]is equal to

A)

\[{{n}^{3}}+{{n}^{2}}+1\]

B)

\[{{n}^{3}}-{{n}^{2}}+1\]

C)

\[{{n}^{3}}-{{n}^{2}}\]

D)

       \[{{n}^{3}}+{{n}^{2}}\]

View Answer
124) Nishi has 5 coins each of the different denomination. The number different sums of money she conform

A)

32

B)

25

C)

31

D)

       None of these

View Answer
125) There are P copies of n-different books. The number of different ways in which a non-empty selection can be made from them, is

A)

\[{{(P+1)}^{n}}-1\]

B)

\[{{P}^{n}}-1\]

C)

\[{{(P+1)}^{n-1}}-1\]

D)

       None of these

View Answer
126) Out of 18 points in a plane no three are in the same straight line except five points which are collinear. The number of straight lines that can be formed joining them, is

A)

143

B)

144

C)

153

D)

       None of these

View Answer
127) The term independent of\[x\]in \[{{\left[ \sqrt{\left( \frac{x}{3} \right)+}\sqrt{\left( \frac{3}{2{{x}^{2}}} \right)} \right]}^{10}}\]

A)

\[1\]

B)

\[^{10}{{C}_{1}}\]

C)

\[\frac{5}{12}\]

D)

       None of these

View Answer
128) The greatest coefficient in the expansion of \[{{(1+x)}^{2n}}\] is

A)

\[^{2n}{{C}_{n}}\]

B)

                       \[^{2n}{{C}_{n-1}}\]

C)

\[^{2n}{{C}_{n-2}}\]

D)

       None of these

View Answer
129) The number of terms in the expansion of\[{{(\sqrt{5}+\sqrt[4]{11})}^{124}}\]which are integers, is equal to

A)

0

B)

30

C)

31

D)

       32

View Answer
130) The constant term in the expansion of\[{{(1+x)}^{m}}{{\left( 1+\frac{1}{x} \right)}^{n}}\]

A)

\[^{m+n}{{C}_{m-1}}\]

B)

\[^{m+n}{{C}_{n}}\]

C)

\[^{m+n}{{C}_{m-n}}\]

D)

None of these

View Answer
131) If\[a>1\], roots of the equation\[(1-a){{x}^{2}}+3ax-1=0\]are

A)

one positive and one negative

B)

both negative

C)

both positive

D)

both non-real complex

View Answer
132) The number of values of the triplet\[(a,\,\,b,\,\,c)\]for which\[a\cos 2x+b{{\sin }^{2}}x+c=0\]is satisfied by all real\[x\], is

A)

0

B)

2

C)

3

D)

       infinite

View Answer
133) If\[\alpha ,\,\,\beta ,\,\,\gamma \]are such that\[\alpha +\beta +\gamma =2,\]\[{{\alpha }^{2}}+{{\beta }^{2}}+{{\gamma }^{2}}=6\],\[{{\alpha }^{3}}+{{\beta }^{3}}+{{\gamma }^{3}}=8\],   then\[{{\alpha }^{4}}+{{\beta }^{4}}+{{\gamma }^{4}}\]is

A)

5

B)

18

C)

12

D)

       36

View Answer
134) If\[a,\,\,b,\,\,c\]are three distinct positive real numbers of real roots of\[a{{x}^{2}}+2b|x|-c=0\]is

A)

4

B)

2

C)

0

D)

       None of these

View Answer
135) If\[A\]is a skew-symmetric matrix, then trace of\[A\]is

A)

1

B)

-1

C)

0

D)

       None of these

View Answer
136) If the matrix\[A=\left[ \begin{matrix} y+a & b & c \\ a & y+b & c \\ a & b & y+c \\ \end{matrix} \right]\]has rank 3, then

A)

\[y\ne (a-b+c)\]

B)

\[y\ne 1\]

C)

\[y=0\]

D)

\[y\ne -(a+b+c)\]and\[y\ne 0\]

View Answer
137) For positive numbers\[x,\,\,y,\,\,z\]the numerical value of the determinant \[\left| \begin{matrix}    1 & {{\log }_{x}}y & {{\log }_{x}}z \\    {{\log }_{y}}x & 1 & {{\log }_{y}}z \\    {{\log }_{z}}x & {{\log }_{z}}y & 1 \\ \end{matrix} \right|\]

A)

0

B)

1

C)

2

D)

       None of these

View Answer
138) If\[A\]is an orthogonal matrix, then

A)

\[\det \,\,A=not\,\,exist\]

B)

\[\det \,\,A=0\]

C)

\[\det \,\,A=\pm 1\]

D)

       None of these

View Answer
139) Let\[a,\,\,b,\,\,c\]be real numbers with\[a\ne 0\]and let \[\alpha ,\,\,\beta \]be the roots of the equation\[a{{x}^{2}}+bx+c=0\], then\[{{a}^{3}}{{x}^{2}}+abcx+{{c}^{3}}=0\]has roots

A)

\[{{\alpha }^{2}}\beta ,{{\beta }^{2}}\alpha \]

B)

\[\alpha ,{{\beta }^{2}}\]

C)

\[{{\alpha }^{2}}\beta ,\beta \alpha \]

D)

       \[{{\alpha }^{3}}\beta ,{{\beta }^{3}}\alpha \]

View Answer
140) If\[{{n}_{1}},\,\,{{n}_{2}}\]are positive integers, then\[{{(1+i)}^{{{n}_{1}}}}+{{(1+{{i}^{3}})}^{{{n}_{1}}}}+{{(1+{{i}^{5}})}^{{{n}_{2}}}}+{{(1+{{i}^{7}})}^{{{n}_{2}}}}\]is a real number if and only if

A)

\[{{n}_{1}}={{n}_{2}}+1\]

B)

\[{{n}_{1}}={{n}_{2}}\]

C)

\[{{n}_{1}},\,\,{{n}_{2}}\]are any two negative integers

D)

\[{{n}_{1}},\,\,{{n}_{2}}\]are both any positive integers

View Answer
141) The equation\[|z+i|-|z-i|\,\,=k\]represent a hyperbola, if

A)

\[-2<k<2\]

B)

\[k>2\]

C)

\[0<k<2\]

D)

       None of these

View Answer
142) The period of the function\[f(x)=|\sin 4x|+|\cos 4x|\]is

A)

\[\pi /2\]

B)

\[\pi /8\]

C)

\[\pi /4\]

D)

       None of these

View Answer
143) If\[\cos x=\frac{2\cos y-1}{2-\cos y}\], where\[x,\,\,y\in (0,\,\,\pi )\], then\[\tan \frac{x}{2}\cdot \cot \frac{y}{2}\]is equal to

A)

\[\sqrt{2}\]

B)

\[\sqrt{3}\]

C)

\[\frac{1}{\sqrt{2}}\]

D)

       \[\frac{1}{\sqrt{3}}\]

View Answer
144) The value of\[\cos \frac{2\pi }{15}\cdot \cos \frac{4\pi }{15}\cdot \cos \frac{8}{15}\cdot \cos \frac{16\pi }{15}\]is equal to

A)

\[\frac{1}{16}\]

B)

\[\frac{1}{32}\]

C)

\[\frac{1}{64}\]

D)

       \[\frac{1}{8}\]

View Answer
145) The sum of all the solutions of the equation\[\cos x\cdot \cos \left( \frac{\pi }{3}+x \right)\cdot \cos \left( \frac{\pi }{3}-x \right)=\frac{1}{4}\],\[x\in [0,\,\,6\pi ]\]is

A)

\[15\pi \]

B)

\[30\pi \]

C)

\[\frac{110\pi }{3}\]

D)

       None of these

View Answer
146) \[2{{\tan }^{-1}}(\cos ec{{\tan }^{-1}}x-\tan \,\,{{\cot }^{-1}}x)\]is equal to

A)

\[{{\cot }^{-1}}x\]

B)

\[{{\cot }^{-1}}\frac{1}{x}\]

C)

\[{{\tan }^{-1}}x\]

D)

       None of these

View Answer
147) The value of\[{{\sin }^{-1}}\left[ \cos \left( {{\sin }^{-1}}\sqrt{\frac{2-\sqrt{3}}{4}} \right. \right.\]\[\left. \left. +{{\cos }^{-1}}\frac{\sqrt{12}}{4}+{{\sec }^{-1}}\sqrt{2} \right) \right]\]is

A)

0

B)

\[\frac{\pi }{4}\]

C)

\[\frac{\pi }{6}\]

D)

       \[\frac{\pi }{2}\]

View Answer
148) In a\[\Delta \,\,ABC,\,\,\angle B={{90}^{o}}\],then\[{{\tan }^{2}}\left( \frac{A}{2} \right)\]is

A)

\[\frac{b-c}{b+c}\]

B)

\[\frac{b+c}{b-c}\]

C)

\[\frac{b-2c}{b+c}\]

D)

       None of these

View Answer
149) In a triangle, if\[{{r}_{1}}>{{r}_{2}}>{{r}_{3}}\], then

A)

\[a>b>c\]

B)

       \[a<b<c\]

C)

\[a>b\]and\[b<c\]

D)

       \[a<b\]and\[b>c\]

View Answer
150) A and B are two points on one bank of a straight river and C, D are two other points on the other bank of river, if direction from A to B is same as that from C to D and\[AB=a\],\[\angle CAD=\alpha \],\[\angle DAB=\beta \],\[\angle CBA=\gamma \], then CD is equal to

A)

\[\frac{a\sin \beta \cdot \sin \gamma }{\sin \alpha \cdot \sin (\alpha +\beta +\gamma )}\]

B)

\[\frac{a\sin \alpha \cdot \sin \gamma }{\sin \beta \cdot \sin (\alpha +\beta +\gamma )}\]

C)

\[\frac{a\sin \alpha \cdot \sin \beta }{\sin \gamma \cdot \sin (\alpha +\beta +\gamma )}\]

D)

None of the above

View Answer
151) In a trapezoid of the vector\[\overset{\to }{\mathop{\mathbf{BC}}}\,=\lambda \overset{\to }{\mathop{\mathbf{AD}}}\,\]. We will, then find that\[\overset{\to }{\mathop{\mathbf{P}}}\,=\overset{\to }{\mathop{\mathbf{AC}}}\,+\overset{\to }{\mathop{\mathbf{BD}}}\,\]is collinear with\[\overset{\to }{\mathop{\mathbf{AD}}}\,\]. If\[\overset{\to }{\mathop{\mathbf{P}}}\,=\mu \overset{\to }{\mathop{\mathbf{AD}}}\,\], then

A)

\[\mu =\lambda +1\]

B)

\[\lambda =\mu +1\]

C)

\[\lambda +\mu =1\]

D)

       \[\mu =2+\lambda \]

View Answer
152) If\[P(\overrightarrow{\mathbf{p}}),\text{ }Q(\overrightarrow{\mathbf{q}}),\text{ }R(\overrightarrow{\mathbf{r}})\]and\[S(\overrightarrow{\mathbf{s}})\]be four points such that\[3\overrightarrow{\mathbf{p}}+8\overrightarrow{\mathbf{q}}=6\overrightarrow{\mathbf{r}}+5\overrightarrow{\mathbf{s}}\], then the lines\[PQ\] and\[RS\]are

A)

skew

B)

intersecting

C)

parallel

D)

       None of these

View Answer
153) Let\[\overrightarrow{\mathbf{a}}=2\widehat{\mathbf{i}}+\widehat{\mathbf{j}}-2\widehat{\mathbf{k}}\]and\[\overrightarrow{\mathbf{b}}=\mathbf{\hat{i}}+\widehat{\mathbf{j}}\], if\[\overrightarrow{\mathbf{c}}\]is a vector such that\[\overrightarrow{\mathbf{a}}\cdot \overrightarrow{\mathbf{c}}=|\overrightarrow{\mathbf{c}}|,\,\,|\overrightarrow{\mathbf{c}}-\overrightarrow{\mathbf{a}}|=2\sqrt{2}\]and the angle between\[\overrightarrow{\mathbf{a}}\times \overrightarrow{\mathbf{b}}\]and\[\overrightarrow{\mathbf{c}}\]is\[{{30}^{o}}\], then\[|(\overrightarrow{\mathbf{a}}\times \overrightarrow{\mathbf{b}})\times \overrightarrow{\mathbf{c}}|\]is equal to

A)

\[\frac{2}{3}\]

B)

\[\frac{3}{2}\]

C)

\[2\]

D)

       \[3\]

View Answer
154) Consider a tetrahedron with faces\[{{F}_{1}},\,\,{{F}_{2}},\,\,{{F}_{3}},\,\,{{F}_{4}}\]. Let\[{{V}_{1}},\,\,{{V}_{2}},\,\,{{V}_{3}},\,\,{{V}_{4}}\]be the vectors whose magnitudes are respectively equal to areas of\[{{F}_{1}},\,\,{{F}_{2}},\,\,{{F}_{3}},\,\,{{F}_{4}}\] and whose directions are perpendicular to these faces in outward direction, then\[|{{\overset{\to }{\mathop{\mathbf{V}}}\,}_{\mathbf{1}}}\mathbf{+}{{\overset{\to }{\mathop{\mathbf{V}}}\,}_{\mathbf{2}}}\mathbf{+}{{\overset{\to }{\mathop{\mathbf{V}}}\,}_{\mathbf{3}}}\mathbf{+}{{\overset{\to }{\mathop{\mathbf{V}}}\,}_{\mathbf{4}}}|\]equals

A)

1

B)

4

C)

\[\vec{0}\]

D)

       None of these

View Answer
155) If\[V\]is the volume of the parallelepiped having three coterminus edges as\[\overrightarrow{\mathbf{a}},\,\,\overrightarrow{\mathbf{b}}\]and\[\overrightarrow{\mathbf{c}}\], then the volume of the parallelepiped having three coterminus edge as \[\overrightarrow{\alpha }=(\overrightarrow{\mathbf{a}}\cdot \overrightarrow{\mathbf{a}})\overrightarrow{\mathbf{a}}+(\overrightarrow{\mathbf{a}}\cdot \overrightarrow{\mathbf{b}})\overrightarrow{\mathbf{b}}+(\overrightarrow{\mathbf{a}}\cdot \overrightarrow{\mathbf{c}})\overrightarrow{\mathbf{c}}\], \[\overrightarrow{\beta }=(\overrightarrow{\mathbf{a}}\cdot \overrightarrow{\mathbf{b}})\overrightarrow{\mathbf{a}}+(\overrightarrow{\mathbf{b}}\cdot \overrightarrow{\mathbf{b}})\overrightarrow{\mathbf{b}}+(\overrightarrow{\mathbf{b}}\cdot \overrightarrow{\mathbf{c}})\overrightarrow{\mathbf{c}}\] \[\overrightarrow{\gamma }=(\overrightarrow{\mathbf{a}}\cdot \overrightarrow{\mathbf{c}})\overrightarrow{\mathbf{a}}+(\overrightarrow{\mathbf{b}}\cdot \overrightarrow{\mathbf{c}})\overrightarrow{\mathbf{b}}+(\overrightarrow{\mathbf{c}}\cdot \overrightarrow{\mathbf{c}})\overrightarrow{\mathbf{c}}\]

A)

\[{{V}^{3}}\]

B)

\[3V\]

C)

\[{{V}^{2}}\]

D)

       \[2V\]

View Answer
156) Let us define the length of a vector\[a\widehat{\mathbf{i}}+b\widehat{\mathbf{j}}+c\widehat{\mathbf{k}}\]as\[|a|+|b|+|c|\]. This definition coincides with the usual definition of length of a vector\[a\widehat{\mathbf{i}}+b\widehat{\mathbf{j}}+c\widehat{\mathbf{k}}\], if

A)

\[a=b=c=0\]

B)

any two of\[a,\,\,b\]and\[c\]are zero

C)

any one of\[a,\,\,b\]and\[c\]is zero

D)

\[a+b+c=0\]

View Answer
157) Let\[\overrightarrow{\mathbf{u}}=\widehat{\mathbf{i}}+\widehat{\mathbf{j}}\],\[\overrightarrow{\mathbf{v}}=\widehat{\mathbf{i}}-\widehat{\mathbf{j}}\]and\[\overset{\to }{\mathop{\mathbf{w}}}\,=\widehat{\mathbf{i}}+2\widehat{\mathbf{j}}+3\widehat{\mathbf{k}}\], if\[\widehat{\mathbf{n}}\]is a unit vector such that\[\mathbf{\vec{u}}\cdot \widehat{\mathbf{n}}=0\]and \[\overrightarrow{\mathbf{v}}\cdot \widehat{\mathbf{n}}=0\], then\[|\overset{\to }{\mathop{\mathbf{w}}}\,.\widehat{\mathbf{n}}|\]is equal to

A)

3

B)

0

C)

1

D)

       2

View Answer
158) For two events A and B, it is given that\[P(A)=P\left( \frac{A}{B} \right)=\frac{1}{4}\]and\[P\left( \frac{B}{A} \right)=\frac{1}{2}\]. Then

A)

A and B are mutually exclusive events

B)

A and B are dependent events

C)

\[P\left( \frac{A}{B} \right)=\frac{3}{4}\]

D)

None of the above

View Answer
159) The least number of times a fair coin must be tossed so that the probability of getting at least one head is at least 0.8 is

A)

7

B)

6

C)

5

D)

       3

View Answer
160) If\[x\]follows a binomial distribution with parameters\[n=100\]and\[p=\frac{1}{3}\], then\[p(X=r)\]is maximum when r equals

A)

16

B)

32

C)

33

D)

       None of these

View Answer
161) If\[{{\bar{x}}_{1}}\]and\[{{\bar{x}}_{2}}\]are the means of two distributions such that\[{{\bar{x}}_{1}}<{{\bar{x}}_{2}}\]and\[\bar{x}\]is the mean of the combined distribution, then

A)

\[\bar{x}<{{\bar{x}}_{1}}\]

B)

\[\bar{x}>{{\bar{x}}_{2}}\]

C)

\[\bar{x}=\frac{{{{\bar{x}}}_{1}}+{{{\bar{x}}}_{2}}}{2}\]

D)

\[{{\bar{x}}_{1}}<\bar{x}<{{\bar{x}}_{2}}\]

View Answer
162) If the axes be turned through an angle\[{{\tan }^{-1}}2\].   What   does   the   equation\[4xy-3{{x}^{2}}={{a}^{2}}\]become?

A)

\[{{X}^{2}}-4{{Y}^{2}}={{a}^{2}}\]

B)

\[{{X}^{2}}+4{{Y}^{2}}={{a}^{2}}\]

C)

\[{{X}^{2}}+4{{Y}^{2}}=-{{a}^{2}}\]

D)

       None of these

View Answer
163) If\[{{t}_{1}},\,\,{{t}_{2}}\]and\[{{t}_{3}}\]are distinct, the points\[({{t}_{1}},\,\,2a{{t}_{1}},\,\,at_{1}^{3})\],\[({{t}_{2}},\,\,2a{{t}_{2}},\,\,at_{2}^{3})\]\[({{t}_{3}},\,\,2a{{t}_{3}},\,\,at_{3}^{3})\]are collinear, if

A)

\[{{t}_{1}}{{t}_{2}}{{t}_{3}}=1\]

B)

\[{{t}_{1}}+{{t}_{2}}+{{t}_{3}}={{t}_{1}}{{t}_{2}}{{t}_{3}}\]

C)

\[{{t}_{1}}+{{t}_{2}}+{{t}_{3}}=0\]

D)

\[{{t}_{1}}+{{t}_{2}}+{{t}_{3}}=-1\]

View Answer
164) The distance of the point (2, 3) from the line \[2x-3y+9=0\]measured along a line\[x-y+1=0\]is

A)

\[4\sqrt{2}\]

B)

\[2\sqrt{2}\]

C)

\[\sqrt{2}\]

D)

       \[\frac{1}{\sqrt{2}}\]

View Answer
165) The equation of the straight line which passes through the intersection of the lines\[x-y-1=0\]and\[2x-3y+1=0\]and is parallel to x-axis, is

A)

\[y=3\]

B)

\[y=-3\]

C)

\[x+y=3\]

D)

None of these

View Answer
166) If the straight line\[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\],\[{{a}_{1}}x+{{b}_{1}}y+{{c}_{2}}=0\], \[{{a}_{2}}x+{{b}_{2}}y+{{d}_{1}}=0\]and\[{{a}_{2}}x+{{b}_{2}}y+{{d}_{2}}=0\]are the sides of rhombus, then

A)

\[(a_{2}^{2}+b_{2}^{2}){{({{c}_{1}}-{{c}_{2}})}^{2}}=(a_{1}^{2}+b_{1}^{2}){{({{d}_{1}}-{{d}_{2}})}^{2}}\]

B)

\[(a_{1}^{2}+b_{1}^{2})|{{d}_{1}}-{{d}_{2}}|\,\,=(a_{2}^{2}+b_{2}^{2})|{{c}_{1}}-{{c}_{2}}|\]

C)

\[(a_{2}^{2}+b_{2}^{2}){{({{d}_{1}}-{{d}_{2}})}^{2}}=(a_{1}^{2}+b_{1}^{2}){{({{c}_{1}}-{{c}_{2}})}^{2}}\]

D)

\[(a_{1}^{2}+b_{1}^{2})|{{c}_{1}}-{{c}_{2}}|\,\,=(a_{2}^{2}+b_{2}^{2})|{{d}_{1}}-{{d}_{2}}\]

View Answer
167) The equation\[3{{x}^{2}}+7xy+2{{y}^{2}}+5x+5y+2=0\] represents

A)

a pair of straight lines

B)

a circle

C)

an ellipse

D)

a hyperbola

View Answer
168) To the lines\[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\]the lines \[{{a}^{2}}{{x}^{2}}+2h(a+b)xy+{{b}^{2}}{{y}^{2}}=0\], are

A)

equally inclined

B)

perpendicular

C)

bisector of the angle

D)

None of the above

View Answer
169) Consider four circles\[{{(x\pm 1)}^{2}}+{{(y\pm 1)}^{2}}=1\], then the equation of smaller circle touching these four circle is

A)

\[{{x}^{2}}+{{y}^{2}}=3-\sqrt{2}\]

B)

\[{{x}^{2}}+{{y}^{2}}=6-3\sqrt{2}\]

C)

\[{{x}^{2}}+{{y}^{2}}=5-2\sqrt{2}\]

D)

\[{{x}^{2}}+{{y}^{2}}=3-2\sqrt{2}\]

View Answer
170) The locus of the point of intersection of tangents to the circle\[x=a\cos \theta ,\,\,y=a\sin \theta \]at the points, whose parametric angles differe by\[\frac{\pi }{2}\], is

A)

a straight line

B)

a circle

C)

a pair of straight line

D)

None of the above

View Answer
171) The equation of the circle passing through (1, 0) and (0, 1) and having the smallest possible radius is

A)

\[{{x}^{2}}-{{y}^{2}}-x-y=0\]

B)

\[{{x}^{2}}+{{y}^{2}}-x-y=0\]

C)

\[{{x}^{2}}+{{y}^{2}}+x+y=0\]

D)

\[{{x}^{2}}+{{y}^{2}}-2x-2y=0\]

View Answer
172) The length of the common chord of the two circles\[{{(x-a)}^{2}}+{{(y-b)}^{2}}={{c}^{2}}\]and\[{{(x-b)}^{2}}+{{(y-a)}^{2}}={{c}^{2}}\]

A)

\[\sqrt{4{{c}^{2}}+2{{(a-b)}^{2}}}\]

B)

\[\sqrt{4{{c}^{2}}-{{(a-b)}^{2}}}\]

C)

\[\sqrt{4{{c}^{2}}-2{{(a-b)}^{2}}}\]

D)

\[\sqrt{2{{c}^{2}}-2{{(a-b)}^{2}}}\]

View Answer
173) If\[\left( {{m}_{i}},\,\,\frac{1}{{{m}_{i}}} \right)\]are four distinct points on a circle, then

A)

\[{{m}_{1}}{{m}_{2}}{{m}_{3}}{{m}_{4}}=1\]

B)

\[{{m}_{1}}{{m}_{2}}{{m}_{3}}{{m}_{4}}=-1\]

C)

\[{{m}_{1}}{{m}_{2}}{{m}_{3}}{{m}_{4}}=\frac{1}{2}\]

D)

\[\frac{1}{{{m}_{1}}}+\frac{1}{{{m}_{2}}}+\frac{1}{{{m}_{3}}}+\frac{1}{{{m}_{4}}}\]

View Answer
174) If the normal to the parabola\[{{y}^{2}}=4ax\]at the point\[(a{{t}^{2}},\,\,2aT)\]cuts the parabola again at

A)

\[-2\le T\le 2\]

B)

\[T\in (-\infty ,\,\,-8)\cup (8,\,\,\infty )\]

C)

\[{{T}^{2}}<8\]

D)

\[{{T}^{2}}\ge 8\]

View Answer
175) The number of real tangents that can be drawn to the ellipse\[3{{x}^{2}}+5{{y}^{2}}=32\]passing through (3, 5) is

A)

0

B)

       1

C)

2

D)

       infinite

View Answer
176) If   the   equation \[l{{x}^{2}}+2mxy+n{{y}^{2}}=0\]represents a pair conjugate diameter of the hyperbola\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], then

A)

\[l{{a}^{2}}+n{{b}^{2}}=0\]

B)

\[l{{a}^{2}}=n{{b}^{2}}\]

C)

\[2l{{a}^{2}}=n{{b}^{2}}\]

D)

       None of these

View Answer
177) If\[e\]is the eccentricity of the hyperbola\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\]and\[\theta \]is the angle between the asymptotes, then\[\cos \left( \frac{\theta }{2} \right)\]is equal to

A)

\[\frac{1}{e}\]

B)

\[\frac{-1}{e}\]

C)

\[e\]

D)

       \[\frac{2}{e}\]

View Answer
178) The tangent and normal to a rectangular hyperbola\[xy={{c}^{2}}\]at a point cuts off intercepts\[{{a}_{1}}\]and\[{{a}_{2}}\]on one axis and\[{{b}_{1}},\,\,{{b}_{2}}\]on the other, then\[{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}\]is equal to

A)

1

B)

2

C)

3

D)

       0

View Answer
179) The direction cosines of any normal to the\[xy-\]plane are

A)

1, 0, 0

B)

0, 1, 0

C)

1, 1, 0

D)

       0, 0, 1

View Answer
180) The locus of the equation\[xy+yz=0\]is

A)

a pair of straight lines

B)

a pair of parallel lines

C)

a pair of perpendicular planes

D)

None of the above

View Answer
181) The reflection of the point (2, -1, 3) in the plane\[3x-2y-z=9\]is

A)

\[\left( \frac{26}{7},\,\,\frac{15}{7},\,\,\frac{17}{7} \right)\]

B)

\[\left( \frac{26}{7},\,\,\frac{-15}{7},\,\,\frac{17}{7} \right)\]

C)

\[\left( \frac{15}{7},\,\,\frac{26}{7},\,\,\frac{-17}{7} \right)\]

D)

\[\left( \frac{26}{7},\,\,\frac{17}{7},\,\,\frac{-15}{7} \right)\]

View Answer
182) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\sqrt{1-\cos 2x}}{\sqrt{2}\cdot x}\]is

A)

1

B)

-1

C)

zero

D)

       does not exist

View Answer
183) If\[f(x)\left\{ \begin{matrix}    a{{x}^{2}}+b, & 0\le x\le 1 \\    x+3, & 1<x\le 2 \\    4, & x=1 \\ \end{matrix} \right.\], then the value of \[(a,\,\,b)\]for which\[f(x)\]cannot be continuous at\[x=1\]is

A)

(2, 2)

B)

(3, 1)

C)

(4, 0)

D)

       (5, 2)

View Answer
184) If\[f(x)={{\log }_{x}}(\log x)\], then\[f(x)\]at\[x=e\]is

A)

\[1/e\]

B)

\[e\]

C)

\[-1/e\]

D)

       \[0\]

View Answer
185) Radius of the circle \[\overset{\to }{\mathop{{{\mathbf{r}}^{\mathbf{2}}}}}\,+\overrightarrow{\mathbf{r}}(2\widehat{\mathbf{i}}-\widehat{\mathbf{j}}-4\widehat{\mathbf{k}})-19=0\] \[\overrightarrow{\mathbf{r}}\cdot (\widehat{\mathbf{i}}-2\widehat{\mathbf{j}}+2\widehat{\mathbf{k}})+8=0\], is

A)

5

B)

4

C)

3

D)

       2

View Answer
186) If\[{{x}^{y}}={{e}^{x}}^{-y}\], then\[\frac{dy}{dx}\]is equal to

A)

\[\frac{\log x}{{{(1+\log x)}^{2}}}\]

B)

\[\frac{x-y}{(1+\log x)}\]

C)

\[\frac{x-y}{{{(1+\log x)}^{2}}}\]

D)

       \[\frac{1}{(1+\log x)}\]

View Answer
187) If\[y=\sin (m{{\sin }^{-1}}x)\], then\[(1-{{x}^{2}})y-xy\]is equal to

A)

\[{{m}^{2}}y\]

B)

\[my\]

C)

\[-{{m}^{2}}y\]

D)

None of these

View Answer
188) If\[f(x)=(ax+b)\sin x+(cx+d)\cos x\], then the values of\[a,\,\,b,\,\,c\]and\[d\]such that\[f(x)=x\cos x\]for all\[x\], are

A)

\[b=c=0,\,\,a=d=1\]

B)

\[b=d=0,\,\,a=c=1\]

C)

\[c=d=0,\,\,a=b=1\]

D)

None of the above

View Answer
189) If a particle is moving such that the velocity acquired is proportional to the square root of the distance covered, then its acceleration is

A)

a constant

B)

\[\propto {{s}^{2}}\]

C)

\[\propto \frac{1}{{{s}^{2}}}\]

D)

\[\propto \frac{1}{s}\]

View Answer
190) The point in the interval\[[0,\,\,2\pi ]\], where\[f(x)={{e}^{x}}\sin x\]has maximum slope, is

A)

\[\frac{\pi }{4}\]

B)

\[\frac{\pi }{2}\]

C)

\[\pi \]

D)

       \[\frac{3\pi }{2}\]

View Answer
191) The function\[f(x)=\frac{ax+b}{(x-1)(x-4)}\]has a local maxima at\[(2,\,\,-1)\], then

A)

\[b=1,\,\,a=0\]

B)

\[b=1,\,\,a=0\]

C)

\[b=-1,\,\,a=0\]

D)

       \[a=-1,\,\,b=0\]

View Answer
192) If\[z=\tan (y+ax)+\sqrt{y-ax}\],   then\[{{z}_{xx}}-{{a}^{2}}{{z}_{yy}}\]is equal to

A)

\[0\]

B)

\[2\]

C)

\[{{z}_{x}}+{{z}_{y}}\]

D)

       \[{{z}_{x}}{{z}_{y}}\]

View Answer
193) If\[\int{f(x)dx}=F(x)\], then\[\int{{{x}^{3}}}f{{(x)}^{2}}dx\]is equal to

A)

\[\frac{1}{2}[{{x}^{2}}{{\{F(x)\}}^{2}}-\int{{{\{F(x)\}}^{2}}dx]}\]

B)

\[\frac{1}{2}[{{x}^{2}}F{{(x)}^{2}}-\int{F{{(x)}^{2}}d{{(x)}^{2}}]}\]

C)

\[\frac{1}{2}[{{x}^{2}}F(x)-\frac{1}{2}\int{{{\{F(x)\}}^{2}}dx]}\]

D)

None of the above

View Answer
194) \[\int{\frac{{{x}^{2}}+4}{{{x}^{4}}+16}}\]is equal to

A)

\[\frac{1}{2\sqrt{2}}{{\tan }^{-1}}\left( \frac{{{x}^{2}}+4}{2x} \right)+c\]

B)

\[\frac{1}{2\sqrt{2}}{{\tan }^{-1}}\left( \frac{{{x}^{2}}-4}{2\sqrt{2x}} \right)+c\]

C)

\[\frac{1}{2\sqrt{2}}{{\tan }^{-1}}\left( \frac{{{x}^{2}}+4}{2\sqrt{2x}} \right)+c\]

D)

\[\frac{1}{2}{{\tan }^{-1}}\left( \frac{{{x}^{2}}-4}{2x} \right)+c\]

View Answer
195) Evaluate\[\int{\frac{1}{(x+1)\sqrt{{{x}^{2}}-1}}dx}\]

A)

\[\sqrt{\frac{x+1}{x-1}}+c\]

B)

\[\sqrt{\frac{x-1}{x+1}}+c\]

C)

\[\sqrt{\frac{1}{x+1}}+c\]

D)

       None of these

View Answer
196) The value of the integral\[\int_{\pi /2}^{3\pi /2}{[\sin x]dx}\], where \[[\cdot ]\]denotes the greatest integer function, is

A)

\[\frac{\pi }{2}\]

B)

\[-\frac{\pi }{2}\]

C)

\[0\]

D)

       \[\pi \]

View Answer
197) The area of the loop the curve \[a{{y}^{2}}={{x}^{2}}(a-x)\]is

A)

\[\frac{8{{a}^{2}}}{15}sq\,\,unit\]

B)

\[\frac{4{{a}^{2}}}{15}sq\,\,unit\]

C)

\[\frac{2{{a}^{2}}}{15}sq\,\,unit\]

D)

       None of these

View Answer
198) Solution of the differential equation \[x=1+xy\frac{dy}{dx}+\frac{{{(xy)}^{2}}}{2!}{{\left( \frac{dy}{dx} \right)}^{2}}\]\[+\frac{{{(xy)}^{3}}}{3!}{{\left( \frac{dy}{dx} \right)}^{3}}+...\]is

A)

\[y={{\log }_{e}}(x)+c\]

B)

\[y={{({{\log }_{e}}x)}^{2}}+c\]

C)

\[y=\pm \sqrt{{{({{\log }_{e}}x)}^{2}}+2c}\]

D)

\[xy={{x}^{y}}=k\]

View Answer
199) If the solution of the differential equation\[\frac{dy}{dx}=\frac{ax+3}{2y+f}\]represents a circle, then the value of\[a\]is

A)

2

B)

-2

C)

3

D)

-4

View Answer
200) The approximate value of\[\int_{1}^{5}{{{x}^{2}}dx}\]using trapezoidal rule with n = 4 is

A)

41

B)

41.5

C)

41.75

D)

       42

View Answer
201) MOSQUERADE

A)

to provide support

B)

to go in disguise

C)

to mesmerize

D)

       marathon race

View Answer
202) PREPOSTEROUS

A)

careful

B)

casual

C)

absurd

D)

       deterrent

View Answer
203) SOLITUDE

A)

musical composition

B)

aloneness

C)

true statement

D)

single mindedness

View Answer
204) PROPITIOUS

A)

favorable

B)

clean

C)

nearby

D)

patriotic

View Answer
205) RELENTLESS

A)

merciless

B)

yielding

C)

monotonous

D)

       incisive

View Answer
206) FORBEARANCE

A)

patience

B)

self-control

C)

intolerance

D)

       preference

View Answer
207) PALTRY

A)

absolete

B)

cautious

C)

random

D)

       plentiful

View Answer
208) EXODUS

A)

influx

B)

                       return

C)

home coming

D)

       restoration

View Answer
209) The........argument put forth for not disclosing the facts did not impress anybody.

A)

intemperate

B)

spurious

C)

specious

D)

       convincing

View Answer
210) Director, he said, would.......the matter at once.

A)

invigilate

B)

explore

C)

investigate

D)

       survey

View Answer
211) Everyone was.........by surprise when she announced her plan to marry that boy,

A)

moved

B)

shaken

C)

taken

D)

       prevailed

View Answer
212) Your case is so unique that I am not getting any........to support it.

A)

reason

B)

help

C)

happening

D)

       precedent

View Answer
213) The writing or compiling of dictionaries

A)

Lexicography

B)

Numismatics

C)

Cytology

D)

       Demography

View Answer
214) The study of Insects

A)

Chromatics

B)

       Dactylology

C)

Calligraphy

D)

       Entomology

View Answer
215) Murder of ones brother

A)

Regiside

B)

       Foeticide

C)

Fratricide

D)

       Uxoricide

View Answer
216) Government by one person

A)

Autonomy

B)

Autocracy

C)

Plutocracy

D)

       Theocracy

View Answer
217) She cut a sad figure in her first performance on the stage.

A)

made a sorry figure

B)

cut a sorry face

C)

cut a sorry figure

D)

no improvement

View Answer
218) No sooner I saw the tiger, than I ran away.

A)

as soon as I saw

B)

no sooner 1 had seen

C)

no sooner did I see

D)

no improvement

View Answer
219) If he had time he will call you.

A)

would have

B)

would have had

C)

has

D)

       no improvement

View Answer
220) AH his answers were correct.

A)

his nil answers

B)

his every answers

C)

all of his answers

D)

no improvement

View Answer
221) Jam : Jelly : Pickles

A)

Butter : Marmalade : Grapes

B)

Granite : Basalt : Coke

C)

Cow : Dry : Draft

D)

Bleat : Bray : Grunt

View Answer
222) Mountain : Height : Climber

A)

River : Length : Water

B)

Land : Farmer : Crop

C)

College : Building : Student

D)

Sea : Depth : Diver

View Answer
223) Head : Brain : Think

A)

Eyes : Lashes : See

B)

Skin : Sweat: Touch

C)

Feet: Dance : Toe

D)

Mouth : Teeth : Chew

View Answer
224) Jute : Cotton : Wool

A)

Potato : Carrot : Bean

B)

Canada : Chile : Asia

C)

Liver ; Heat : Blood

D)

Shark : Cod : Eel

View Answer
225) Sial ; Sima ; Mantle

A)

Core : Asteroid : Comet

B)

Pneumonia : Tetanus : Hepatitis

C)

Calcite : Magnesium : Zinc

D)

Wrestling : Karate : Boxing

View Answer
226) Rourkela : Bokaro : Durgapur

A)

They have steel plants

B)

They have coal mines

C)

They have atomic power plants

D)

They have the best technical colleges

View Answer
227) Chlorine : Fluorine : Iodine

A)

These are names of inert gases

B)

These are gases at room temperature

C)

These are transition elements

D)

These are halogens

View Answer
228) Petrol : Phosphorus : Cooking gas

A)

They are fuels

B)

They are highly in inflamable

C)

They can be sold without permit

D)

India has to import them

View Answer
229) Green : Violet : Orange

A)

They arc primary colours

B)

These colours occur together in a rainbow

C)

They are made by mixing other colours

D)

These colours are not found in butterflies

View Answer
230) Supernova : Protostar : Red Giant

A)

These are kinds of stars

B)

These are members of galaxies

C)

These are stages in the life of a star

D)

These move about the Sun

View Answer
231) The classical dance, Kathakali belongs to

A)

Tamil Nadu

B)

Karnataka

C)

Orissa

D)

       Kerala

View Answer
232) The highest civilian award in India is

A)

Paramveer Chakra

B)

Bharat Ratna

C)

Bhatnagar Award

D)

Kalinga Award

View Answer
233) Who is called Nightingale of India?

A)

Sarojini Naidu

B)

Lata mangeshkar

C)

Amir Khushro

D)

       Asha Bhosale

View Answer
234) Nehru Trophy is related with

A)

Cricket

B)

                                       Volleyball

C)

Hockey

D)

       Badminton

View Answer
235) The headquarters of NATO is situated at

A)

Brussels

B)

       Geneva

C)

       Newyork

D)

       Paris

View Answer
236) The first Indian woman to swim across the English channel is

A)

Bachendri Pal

B)

       Santosh Yadav

C)

       Nirja Mishra

D)

       Aarti Saha

View Answer
237) Which of the following river is related with Bhakra-Nagal Project?

A)

Ravi

B)

                                       Satluj

C)

       Gandak

D)

       Mahanadi

View Answer
238) Namdhapha National Park is located in

A)

Rajasthan

B)

       Orissa

C)

       Arunachal Pradesh

D)

       Uttar Pradesh

View Answer
239) Which of the following is known as evening star?

A)

Venus

B)

       Mercury

C)

       Saturn

D)

       Jupiter

View Answer
240) Which of the following was the founder of Indian National Congress?

A)

Jawahar Lal Nehru

B)

       Mahatma Gandhi

C)

       Moti Lal Nehru

D)

       A. O. Hume

View Answer