Solved papers for Manipal Engineering Manipal Engineering Solved Paper-2009

Manipal Engineering Solved Paper-2009 Total Questions - 240

1) In ruby laser, the stimulated emission is due to transition from

A)

metastable state to any lower state

B)

any higher state to lower state

C)

metastable state to ground state

D)

any higher state to ground state

View Answer
2) A direct current I flows along the length of an infinitely long straight thin walled pipe, then the magnetic field is

A)

uniform throughout the pipe but not zero

B)

zero only along the axis of the pipe

C)

zero at any point inside the pipe

D)

maximum at the centre and minimum at the edge

View Answer
3) A convex lens made of glass has focal length 0.15 m in air. If the refractive index of glass is\[\frac{3}{2}\] and that of water is \[\frac{4}{3}\] the focal length of lens when immersed in water is

A)

0.45m

B)

0.15m

C)

0.30m

D)

       0.6m

View Answer
4) Two sources are said to be coherent if they produce waves

A)

having a constant phase difference

B)

of equal wavelength

C)

of equal speed

D)

having same shape of wave from

View Answer
5) Three resistors 1\[\Omega \], 2\[\Omega \] and 3\[\Omega \] are connected to form a triangle. Across 3\[\Omega \] resistor a 3 V battery is connected. The current through 3\[\Omega \] resistor is

A)

0.75 A

B)

1 A

C)

2 A

D)

       1.5 A

View Answer
6) In a common emitter amplifier the input signal is applied across

A)

anywhere

B)

emitter-collector

C)

collector-base

D)

base-emitter

View Answer
7) In a radioactive disintegration, the ratio of initial number of atoms of the number of atoms present at an instant of time equal to its mean life is

A)

\[\frac{1}{{{e}^{2}}}\]

B)

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

C)

e

D)

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

View Answer
8) A ray of light is incident on a surface of glass slab at an angle 45\[^{0}C\] . If the lateral shift produced per unit thickness is    \[\frac{1}{\sqrt{3}}\]m, the angle of refraction produced is

A)

\[{{\tan }^{-1}}\left( \frac{\sqrt{3}}{2} \right)\]

B)

\[{{\tan }^{-1}}\left( 1-\frac{\sqrt{2}}{3} \right)\]

C)

\[{{\sin }^{-1}}\left( 1-\frac{\sqrt{2}}{3} \right)\]

D)

\[ta{{n}^{-1}}\left( \sqrt{\frac{2}{\sqrt{3}-1}} \right)\]

View Answer
9) Ferromagnetic materials used in a transformer must have

A)

low permeability and high hysierisis loss

B)

high permeability and low hysierisis loss

C)

high permeability and high hystcrisis loss

D)

low permeability and low hysterisis loss

View Answer
10) According to Newtons corpuscular theory, the speed of light is

A)

same in all the media

B)

lesser in rarer medium

C)

lesser in denser medium

D)

independent of [he medium

View Answer
11) For the constructive interference the path difference between the two interfering waves must be equal to

A)

\[(2n+1)\lambda \]

B)

                                       \[2n\pi \]

C)

\[n\pi \]

D)

       \[(2n+1)\frac{\lambda }{2}\]

View Answer
12) The accurate measurement of emf can be obtained using

A)

multimeter

B)

voltmeter

C)

voltameter

D)

       potentiometer

View Answer
13) The kinetic energy of an electron gets tripled, then the de-Broglie wavelength associated with it changes by a factor

A)

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

B)

\[\sqrt{3}\]

C)

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

D)

       3

View Answer
14) Which of the following is not a thermodynamic coordinate?

A)

Gas constant (R)

B)

Pressure (p)

C)

Volume (V)

D)

Temperature (T)

View Answer
15) Two solid pieces, one of steel and the other of aluminium when immersed completely in water have equal weights. When the solid pieces are weighed in air

A)

the weight of aluminium is half the weight of steel

B)

steel piece will weigh more

C)

they have the same weight

D)

aluminium piece will weigh more

View Answer
16) The amount of energy released when one microgram of matter is annihilated is

A)

\[25kWh\]

B)

\[9\times {{10}^{10}}kWh\]

C)

\[3\times {{10}^{10}}kWh\]

D)

       \[0.5\times {{10}^{5}}kWh\]

View Answer
17) The number of significant Figures in the numbers \[4.8000\,\times {{10}^{4}}\] and 48000.50 are respectively

A)

5 and 6

B)

5 and 7

C)

2 and 7

D)

       2 and 6

View Answer
18) \[\beta \]-decay means emission of electron from

A)

innermost electron orbit

B)

a stable nucleus

C)

outermost electron orbit

D)

radioactive nucleus

View Answer
19) An electric heater rated 220 V and 550 W is connected to AC mains. The current drawn by it is

A)

0.8 A

B)

2.5 A

C)

0.4 A

D)

       1.25 A

View Answer
20) A body of mass m moving along a straight line covers half the distance with a speed of\[2m{{s}^{-1}}\]. The remaining half of the distance is covered in two equal time intervals with a speed of \[3m{{s}^{-1}}\] and \[5m{{s}^{-1}}\] respectively. The average speed of the particle for the entire journey is

A)

\[\frac{3}{8}m{{s}^{-1}}\]

B)

\[\frac{8}{3}m{{s}^{-1}}\]

C)

\[\frac{4}{3}m{{s}^{-1}}\]

D)

       \[\frac{16}{3}m{{s}^{-1}}\]

View Answer
21) The moment of inertia of a circular ring of radius r and mass M about diameter is

A)

\[\frac{2}{5}m{{r}^{2}}\]

B)

\[\frac{M{{r}^{2}}}{4}\]

C)

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

D)

       \[\frac{M{{r}^{2}}}{12}\]

View Answer
22) A body of mass 0.05 kg is observed to fall with an acceleration of 9.5 \[m{{s}^{-2}}\]. The opposing force of air on the body is \[(g=9.8\,\,m{{s}^{-2}})\]

A)

0.015 N

B)

0.15 N

C)

0.030 N

D)

       zero

View Answer
23) The colloidal solution in which both the dispersed phase and dispersion medium are liquids are called

A)

emulsions

B)

gels

C)

foams

D)

       liquid crystals

View Answer
24) In fog, photographs of the objects taken with infrared radiations are more clear than those obtained during visible light because

A)

\[I-R\]radiation has lesser wavelength than visible radiation

B)

scattering of \[I-R\]tight is more than visible light

C)

the intensity of \[I-R\] light from the object is less

D)

scattering of\[I-R\] light is less than visible light

View Answer
25) Three concurrent co-planar forces 1 N, 2 N and 3 N acting along different directions on a body

A)

can keep the body in equilibrium if 2 N and 3 N act at right angle

B)

can keep the body in equilibrium if 1 N and 2 N act at right angle

C)

cannot keep the body in equilibrium

D)

can keep the body in equilibrium in 1 N and 3 N act at an acute angle

View Answer
26) Sound waves transfer

A)

only energy not momentum

B)

energy

C)

momentum

D)

Both (a) and (b)

View Answer
27) Two rectangular blocks A and B of masses 2 kg and 3 kg respectively are connected by a spring of spring constant 10.8 \[N{{m}^{-1}}\]and are placed on a frictionless horizontal surface. The block A was given an initial velocity of \[0.15\,m{{s}^{-1}}\] in the direction shown in the figure. The maximum compression of the spring during the motion is

A)

0.01 m

B)

                                       0.02m

C)

0.05m

D)

       0.03m

View Answer
28) G P Thomson experimentally confirmed the existence of matter waves by the phenomena

A)

diffraction

B)

refraction

C)

polarization

D)

       scattering

View Answer
29) The resistance of a wire at 300 K is found to be 0.3\[\Omega \]. If the temperature coefficient of resistance of wire is\[1.5\times {{10}^{-3}}\,{{K}^{-1}}\,,\], the temperature at which the resistance becomes 0.6 \[\Omega \] is

A)

720 K

B)

345 K

C)

993 K

D)

       690 K

View Answer
30) The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of 20 m is

A)

225 J

B)

200 J

C)

400 J

D)

       175 J

View Answer
31) Two luminous point sources separated by a certain distance are at 10 km from an observer. If the aperture of his eye is \[2.5\times {{10}^{-3}}\]m and the wavelength of light used is 500 nm, the distance of separation between the point sources just seen to be resolved is

A)

12.2 m

B)

24.2 m

C)

2.44 m

D)

       1.22 m

View Answer
32)  A door 1.6 m wide requires a force of 1 N to be applied at the free end to open or close it. The force that is required at a point 0.4 m distance from the hinges for opening or closing the door is

A)

1.2 N

B)

                                       3.6 N

C)

2.4 N

D)

       4 N

View Answer
33) \[0.1\,{{m}^{3}}\] of water at \[80{}^\circ C\] is mixed with \[0.3\,{{m}^{3}}\] of water at \[60{}^\circ C\]. The final temperature of the mixture is

A)

\[65{}^\circ C\]

B)

\[70{}^\circ C\]

C)

\[60{}^\circ C\]

D)

       \[75{}^\circ C\]

View Answer
34) The spectral series of the hydrogen atom that lies in the visible region of the electromagnetic spectrum

A)

Paschen

B)

       Balmer

C)

Lyman

D)

       Brackett

View Answer
35) A graph of pressure versus volume for an ideal gas for different processes is as shown. In the graph curve OC represents

A)

isochoric process

B)

isothermal process

C)

isobaric process

D)

adiabatic process

View Answer
36) Which of the following statement does not hold good for thermal radiation?

A)

The wavelength changes when it travels from one medium to another

B)

The frequency changes when it travels from one medium to another

C)

The speed changes when it travels from one medium to another

D)

They travel in straight line in a given medium

View Answer
37)  A planet revolves around the sun in an elliptical orbit. The linear speed of the planet will be maximum at

A)

D

B)

B

C)

A

D)

       C

View Answer
38) Horizontal tube of non-uniform cross-section has radii of 0.1 m and 0.05 m respectively at M and N. For a streamline flow of liquid the rate of liquid flow is

A)

changing continuously with time

B)

greater at M than at N

C)

greater at N than at M

D)

same at M and N

View Answer
39) A resistor and a capacitor are connected in series with an AC source. If the potential drop across the capacitor is 5 V and that across resistor is 12 V, then applied voltage is

A)

13V

B)

17V

C)

5V

D)

       12V

View Answer
40) The amount of heat energy radiated by a metal at temperature T is E. When the temperature is increased to 3T, energy radiated is

A)

81E

B)

9E

C)

3E

D)

       27E

View Answer
41) The angle of minimum deviation for an incident light ray on an equilateral prism is equal to its refracting angle. The refractive index of its material is

A)

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

B)

\[\sqrt{3}\]

C)

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

D)

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

View Answer
42) In the following combinations of logic gates, the outputs of A, B and C are respectively

(A)

(B)

(C)

A)

0, 1, 1

B)

0, 1, 0

C)

1, 1, 0

D)

       1, 0, 1

View Answer
43) A stationary point source of sound emits sound uniformly in all directions in a non-absorbing medium. Two points P and Q are at a distance of 4 m and 9 m respectively from the source. The ratio of amplitudes of the waves at P and Q is

A)

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

B)

\[\frac{4}{9}\]

C)

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

D)

       \[\frac{9}{4}\]

View Answer
44) A galvanometer of resistance 240\[\Omega \] allows only 4% of the main current after connecting a shunt resistance. The value of the shunt resistance is

A)

10\[\Omega \]

B)

200\[\Omega \]

C)

80\[\Omega \]

D)

       50\[\Omega \]

View Answer
45) The phenomena in which proton flips is

A)

nuclear magnetic resonance

B)

lasers

C)

radioactivity

D)

nuclear fusion

View Answer
46) \[y=3\sin \pi \left( \frac{t}{2}-\frac{x}{4} \right)\] represents an equation of a progressive wave, where r is in second and x is in metre. The distance travelled by the wave in 5 s is

A)

8 m

B)

10 m

C)

5 m

D)

       32 m

View Answer
47) According to the quark model, it is possible to build all the hadrons using

A)

2 quarks and 3 antiquarks

B)

3 quarks and 2 antiquarks

C)

3 quarks and 3 antiquarks

D)

2 quarks and 2 antiquarks

View Answer
48)  Ana-particle of mass \[6.4\times {{10}^{27}}\]kg and charge \[3.2\times {{10}^{-19}}\] C is situated in a uniform electric field of \[1.6\times {{10}^{5}}\,V{{m}^{-1}}\] The velocity of the particle at the end of \[2\times {{10}^{-2}}\] m path when it starts from rest is

A)

\[3\sqrt{3}\times {{10}^{5}}m{{s}^{-1}}\]

B)

\[5\times {{10}^{5}}m{{s}^{-1}}\]

C)

\[16\times {{10}^{5}}m{{s}^{-1}}\]

D)

       \[4\sqrt{2}\times {{10}^{5}}m{{s}^{-1}}\]

View Answer
49)  A cylindrical tube open at both the ends has a fundamental frequency of 390 Hz in air. If \[\frac{1}{4}\]th of the tube is immersed vertically in water the fundamental frequency of air column is

A)

260 Hz

B)

130 Hz

C)

390 Hz

D)

       520 Hz

View Answer
50) The surface temperature of the stars if determined using

A)

Plancks law

B)

Wiens displacement law

C)

Rayleigh-Jeans law

D)

Kirchhoffs law

View Answer
51) The charge deposited on 4uF capacitor in the circuit is

A)

\[6\times {{10}^{-6}}C\]

B)

\[12\times {{10}^{-6}}C\]

C)

\[24\times {{10}^{-6}}C\]

D)

       \[36\times {{10}^{-6}}C\]

View Answer
52) A parallel beam of light is incident on a converging lens parallel to its principal axis. As one moves away from the lens on the other side of the principal axis, the intensity of light

A)

first decreases and then increases

B)

continuously increases

C)

continuously decreases

D)

first increases and then decreases

View Answer
53) Continuous emission spectrum is produced by

A)

incandescent electric lamp

B)

mercury vapour lamp

C)

sodium vapour lamp

D)

polyatomic substances

View Answer
54) A coil of n number of turns is wound tightly in the form of a spiral with inner and outer radii a and b respectively. When a current of strength\[I\] is passed through the coil, the magnetic field at its centre is

A)

\[\frac{{{\mu }_{0}}nI}{(b-a)}{{\log }_{e}}\frac{a}{b}\]

B)

\[\frac{{{\mu }_{0}}nI}{2(b-a)}\]

C)

\[\frac{2{{\mu }_{0}}nI}{b}\]

D)

       \[\frac{{{\mu }_{0}}nI}{2(b-a)}{{\log }_{e}}\frac{b}{a}\]

View Answer
55) A ray of light is incident on a plane mirror at an angle of \[60{}^\circ \]. The angle of deviation produced by the minor is

A)

\[120{}^\circ \]

B)

\[30{}^\circ \]

C)

\[60{}^\circ \]

D)

\[90{}^\circ \]

View Answer
56) The electric potential at any point x, y, z in metres is given by\[V=3{{x}^{2}}.\]. The electric field at a point (2. 0, 1) is

A)

\[12\,V{{m}^{-1}}\]

B)

\[-6\,V{{m}^{-1}}\]

C)

\[6\,V{{m}^{-1}}\]

D)

       \[-12\,V{{m}^{-1}}\]

View Answer
57)  Youngs   double   slit   experiment   gives interface fringes of width 0.3 mm. A thin glass plate made of material of refractive index 1.5 is kept in the path of light from one of the slits, then the fringe width becomes

A)

zero

B)

0.3 mm

C)

0.45 mm

D)

       0.15 mm

View Answer
58) Near a circular loop of conducting wire as shown in the figure an electron moves along a straight line. The direction of the induced current if any in the loop is

A)

variable

B)

clockwise

C)

anticlockwise

D)

       zero

View Answer
59) Hydrogen atom from excited state comes to the ground stage by emitting a photon of wavelength \[\lambda \]. If R is the Rydberg constant, the principal quantum number n of the excited state

A)

\[\sqrt{\frac{\lambda R}{\lambda R-1}}\]

B)

\[\sqrt{\frac{\lambda }{\lambda R-1}}\]

C)

\[\sqrt{\frac{\lambda {{R}^{2}}}{\lambda R-1}}\]

D)

       \[\sqrt{\frac{\lambda R}{\lambda -1}}\]

View Answer
60) The magnetic dipole moment of a current loop is independent of

A)

magnetic field in which it is lying

B)

number of turns

C)

area of the loop

D)

current in the loop

View Answer
61) The correct statement with regard to\[H_{2}^{+}\]and \[H_{2}^{-}\]is

A)

both\[H_{2}^{+}\]and\[H_{2}^{-}\]are equally stable

B)

both\[H_{2}^{+}\]and\[H_{2}^{-}\]do not exist

C)

\[H_{2}^{-}\] is more stable than\[H_{2}^{+}\]

D)

\[H_{2}^{+}\]is more stable than\[H_{2}^{-}\]

View Answer
62) Arrange the following in the increasing order of their bond order \[O2,\,\,O_{2}^{+},\,\,O_{2}^{-}\]and\[O_{2}^{2-}\]

A)

\[O_{2}^{2-},\,\,O_{2}^{-},\,\,{{O}_{2}},\,\,O_{2}^{+}\]

B)

\[O_{2}^{2-},\,\,O_{2}^{-},\,\,O_{2}^{+},\,\,{{O}_{2}}\]

C)

\[O_{2}^{+},\,\,{{O}_{2}},\,\,O_{2}^{-},\,\,O_{2}^{2-}\]

D)

\[{{O}_{2}},\,\,O_{2}^{+},\,\,O_{2}^{-},\,\,O_{2}^{2-}\]

View Answer
63) 2 g of\[a\cdot \]radioactive sample having half-life of 15 days was synthesized on 1st Jan 2009. The amount of the sample left behind on 1st March, 2009 (including both the days) is

A)

\[0\,\,g\]

B)

\[0.125\,\,g\]

C)

\[1\,\,g\]

D)

       \[0.5\,\,g\]

View Answer
64) For a chemical reaction\[A\to B\], the rate of the reaction is\[2\times {{10}^{-3}}mol\,\,d{{m}^{-3}}{{s}^{-1}}\], when the initial concentration is\[0.05\,\,mol\,\,d{{m}^{-3}}\]. The rate of the same reaction is\[1.6\times {{10}^{-2}}mol\,\,d{{m}^{-3}}{{s}^{-1}}\]when the initial concentration is\[0.1\,\,mol\,\,d{{m}^{-3}}\]. The order of the reaction is

A)

2

B)

0

C)

3

D)

1

View Answer

65) For the decomposition of a compound AB at 600 K, the following data were obtained

\[[AB]\,\,mol\,\,d{{m}^{-3}}\]	Rate of decomposition of\[AB\]in\[mol\,\,d{{m}^{-3}}\,\,{{s}^{-1}}\]
0.20	\[2.75\times {{10}^{-8}}\]
0.40	\[11.0\times {{10}^{-8}}\]
0.60	\[24.75\times {{10}^{-8}}\]

The order for the decomposition of AB is

1.5

View Answer

66) The rate equation for a reaction\[A\to B\]is\[r=k{{[A]}^{0}}\]. If the initial concentration of the reactant is a\[mol\,\,d{{m}^{-3}}\], the half-life period of the reaction is

A)

\[\frac{a}{2k}\]

B)

\[\frac{k}{a}\]

C)

\[\frac{a}{k}\]

D)

       \[\frac{2a}{k}\]

View Answer
67) \[30\,\,cc\]of\[\frac{M}{3}HCl\],\[20\,\,cc\]of\[\frac{M}{2}HN{{O}_{3}}\]and\[40\,\,cc\] of\[\frac{M}{4}NaOH\]solutions are mixed and the volume was made up to \[\text{1}\,\,\text{d}{{\text{m}}^{3}}\]. The pH of the resulting solution is

A)

8

B)

2

C)

1

D)

       3

View Answer
68) An aqueous solution containing\[\text{6}\text{.5}\,\,\text{g}\]of\[NaCl\]of\[90%\]purity was subjected to electrolysis. After the complete electrolysis, the solution was evaporated to get solid\[NaOH\]. The volume of\[1\,\,M\]acetic acid required to neutralize\[NaOH\]obtained above is

A)

\[1000\,\,c{{m}^{3}}\]

B)

\[2000\,\,c{{m}^{3}}\]

C)

\[100\,\,c{{m}^{3}}\]

D)

       \[200\,\,c{{m}^{3}}\]

View Answer
69) The standard electrode potential for the half-cell reactions are \[Z{{n}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Zn;\,\,{{E}^{o}}=-0.76\,\,V\] \[F{{e}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Fe;\,\,{{E}^{o}}=-0.44\,\,V\] The emf of the cell reaction, \[F{{e}^{2+}}+Zn\xrightarrow{{}}Z{{n}^{2+}}+Fe\]is

A)

\[-0.32\,\,V\]

B)

\[-1.20\,\,V\]

C)

\[+1.20\,\,V\]

D)

       \[+0.32\,\,V\]

View Answer
70) \[{{10}^{-6}}M\,\,NaOH\]is diluted 100 times. The\[pH\]of the diluted base is

A)

between 7 and 8

B)

between 5 and 6

C)

between 6 and 7

D)

between 10 and 11

View Answer
71) In the electrolysis of acidulated water, it is desired to obtain\[1.12\,\,cc\]of hydrogen per second under STP condition. The current to be passed is

A)

\[1.93\,\,A\]

B)

\[9.65\,\,A\]

C)

\[19.3\,\,A\]

D)

       \[0.965\,\,A\]

View Answer
72) The one which decreases with dilution is

A)

molar conductance

B)

conductance

C)

specific conductance

D)

equivalent conductance

View Answer
73) Vapour pressure of pure A is 70 mm of\[Hg\]at\[{{25}^{o}}C\]. It forms an ideal solution with B in which mole fraction of A is 0.8. If the vapour pressure of the solution is 84 mm of Hg at\[{{25}^{o}}C\], the vapour pressure of pure B at\[{{25}^{o}}C\]is

A)

28mm

B)

56mm

C)

70mm

D)

       140mm

View Answer
74) A 6% solution of urea is isotonic with

A)

1 M solution of glucose

B)

0.05 M solution of glucose

C)

6% solution of glucose

D)

25% solution of glucose

View Answer
75) In countries nearer to polar region, the roads are sprinkled with\[CaC{{l}_{2}}\]. This is

A)

to minimise the wear and tear of the roads

B)

to minimise the snow fall

C)

to minimise pollution

D)

to minimise the accumulation of dust on the road

View Answer
76) For the reaction\[{{H}_{2}}O(l){{H}_{2}}O(g)\]at\[373\,\,K\]and 1 aim pressure

A)

\[\Delta H=0\]

B)

\[\Delta E=0\]

C)

\[\Delta H=T\Delta S\]

D)

       \[\Delta H=\Delta E\]

View Answer
77) A compound of\[A\]and\[B\]crystallizes in a cubic lattice in which A atoms occupy the lattice points at the corners of the cube. The\[B\]atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is

A)

\[A{{B}_{2}}\]

B)

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

C)

\[AB\]

D)

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

View Answer
78) In electrophilic aromatic substitution reaction, the nitro group is meta directing because it

A)

decreases electron density at ortho and para positions

B)

decreases electron density at meta position

C)

increases electron density at meta position

D)

increases electron density at ortho and para positions

View Answer
79) \[C{{H}_{3}}COOH\xrightarrow{LiAl{{H}_{4}}}X\xrightarrow[{{300}^{o}}C]{Cu}Y\xrightarrow[NaOH]{Dilute}\] In the above reaction\[Z\]is

A)

butanol

B)

aldol

C)

ketol

D)

       acetal

View Answer
80) The best method for the conversion of an alcohol into an alkyl chloride is by treating the alcohol with

A)

\[PC{{l}_{3}}\]

B)

\[PC{{l}_{5}}\]

C)

\[SOC{{l}_{2}}\]in presence of pyridine

D)

dry\[HCl\]in the presence of anhydrous\[ZnC{{l}_{2}}\]

View Answer
81) The electrophile involved in the sulphonation of benzene is

A)

\[SO_{3}^{+}\]

B)

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

C)

\[H_{3}^{+}O\]

D)

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

View Answer
82) The carbon-carbon bond length in benzene is

A)

in between\[{{C}_{2}}{{H}_{6}}\]and\[{{C}_{2}}{{H}_{4}}\]

B)

same as in\[{{C}_{2}}{{H}_{4}}\]

C)

in between\[{{C}_{2}}{{H}_{6}}\]and\[{{C}_{2}}{{H}_{2}}\]

D)

in between\[{{C}_{2}}{{H}_{4}}\]and\[{{C}_{2}}{{H}_{2}}\]

View Answer
83) The compound which is not formed during the dry distillation of a mixture of calcium formate and calcium acetate is

A)

methanal

B)

propanal

C)

propanone

D)

       ethanol

View Answer
84) An organic compound\[X\]is oxidized by using acidified\[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\]. The product obtained reacts with phenyl hydrazine but does not answer silver mirror test. The possible structure of\[X\]is

A)

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

B)

\[C{{H}_{3}}-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\]

C)

\[{{(C{{H}_{3}})}_{2}}CHOH\]

D)

\[C{{H}_{3}}CHO\]

View Answer
85) The reaction involved in the oil of winter green test is salicylic acid\[\xrightarrow[Conc.{{H}_{2}}S{{O}_{4}}]{\Delta }\]product. The product is treated with\[N{{a}_{2}}C{{O}_{3}}\]solution. The missing reagent in the above reaction is

A)

phenol

B)

                       \[NaOH\]

C)

ethanol

D)

       methanol

View Answer
86) The compound which forms acetaldehyde when heated with dilute\[NaOH\], is

A)

1, 1-dichloroethane

B)

1, 1, 1-trichloroethane

C)

1-chloroethane

D)

1, 2-dichloroethane

View Answer
87) Arrange the following in the increasing order of their basic strengths\[C{{H}_{3}}N{{H}_{2}},\]\[{{(C{{H}_{3}})}_{2}}NH\]\[{{(C{{H}_{3}})}_{3}}N,\,\,N{{H}_{3}}\]

A)

\[N{{H}_{3}}<{{(C{{H}_{3}})}_{3}}N<{{(C{{H}_{3}})}_{2}}NH<C{{H}_{3}}N{{H}_{2}}\]

B)

\[N{{H}_{3}}<{{(C{{H}_{3}})}_{3}}N<C{{H}_{3}}N{{H}_{2}}<{{(C{{H}_{3}})}_{2}}NH\]

C)

\[{{(C{{H}_{3}})}_{3}}N<N{{H}_{3}}<C{{H}_{3}}N{{H}_{2}}<{{(C{{H}_{3}})}_{2}}NH\]

D)

\[C{{H}_{3}}N{{H}_{2}}<{{(C{{H}_{3}})}_{2}}NH<{{(C{{H}_{3}})}_{3}}N<N{{H}_{3}}\]

View Answer
88) The one which has least iodine value is

A)

sunflower oil

B)

ginger oil

C)

ghee

D)

       groundnut oil

View Answer
89) A diabetic person carries a packet of glucose with him always, because

A)

glucose reduces the blood sugar level slowly

B)

glucose increases the blood sugar level slowly

C)

glucose reduces the blood sugar level

D)

glucose increases the blood sugar level almost instantaneously

View Answer
90) There are 20 naturally occurring amino acids. The maximum number of tripeptides that can be obtained is

A)

8000

B)

6470

C)

7465

D)

       5360

View Answer
91) Cooking is fast in a pressure cooker, because

A)

food particles are effectively smashed

B)

water boils at higher temperature inside the pressure cooker

C)

food is cooked at constant volume

D)

loss of heat due to radiation is minimum

View Answer
92) The ore that is concentrated by froth floatation process is

A)

zincite

B)

     cinnabar

C)

bauxite

D)

       malachite

View Answer
93) The correct set of four quantum numbers for outermost electron of potassium\[(Z=19)\]is

A)

\[4,\,\,1,\,\,0,\,\,\frac{1}{2}\]

B)

       \[3,\,\,1,\,\,0,\,\,\frac{1}{2}\]

C)

\[4,\,\,0,\,\,0,\,\,\frac{1}{2}\]

D)

       \[3,\,\,0,\,\,0,\,\,\frac{1}{2}\]

View Answer
94) A body of mass\[x\]kg is moving with a velocity of\[100\,\,m{{s}^{-1}}\].   Its de-Broglie wavelength is\[6.62\times {{10}^{-35}}m\]. Hence,\[x\]is\[(h=6.62\times {{10}^{-34}}Js)\]

A)

0.1 kg

B)

                                       0.25 kg

C)

0.15kg

D)

       0.2kg

View Answer
95) The correct order of ionization energy of C, N, O, F is

A)

F < O < N < C

B)

       F < N < C < O

C)

C < N < O < F

D)

       C < O < N < F

View Answer
96) The oxide of an element whose electronic configuration is\[1{{s}^{2}},\,\,2{{s}^{2}},\,\,2{{p}^{6}},\,\,3{{s}^{1}}\]is

A)

neutral

B)

       amphoteric

C)

basic

D)

       acidic

View Answer
97) The characteristic not related to alkali metal is

A)

high ionization energy

B)

their ions are isoelectronic with noble gases

C)

low melting point

D)

low electronegativity

View Answer
98) Among the following, the compound that contains ionic, covalent and coordinate linkage is

A)

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

B)

                       \[N{{H}_{4}}Cl\]

C)

\[NaCl\]

D)

       \[CaO\]

View Answer
99) A covalent molecule\[A{{B}_{3}}\]has pyramidal structure. The number of lone pair and bond pair of electrons in the molecule are respectively

A)

2 and 2

B)

0 and 4

C)

3 and 1

D)

       1 and 3

View Answer
100) Excess of carbon dioxide is passed through\[50\,\,mL\]of\[0.5\,\,M\]calcium hydroxide solution. After the completion of the reaction, the solution was evaporated to dryness. The solid calcium carbonate was completely neutralized with\[0.1\,\,N\]hydrochloric acid. The volume of hydrochloric acid required is (Atomic mass of calcium = 40)

A)

\[300\,\,c{{m}^{3}}\]

B)

                       \[200\,\,c{{m}^{3}}\]

C)

\[500\,\,c{{m}^{3}}\]

D)

       \[400\,\,c{{m}^{3}}\]

View Answer
101) A bivalent metal has an equivalent mass of 32. The molecular mass of the metal nitrate is

A)

182

B)

168

C)

192

D)

       188

View Answer
102) The rms velocity of molecules of a gas of density\[4\,\,kg\,\,{{m}^{-3}}\]and pressure\[1.2\times {{10}^{5}}\,\,N{{m}^{-2}}\]is

A)

\[300\,\,m{{s}^{-1}}\]

B)

\[900\,\,m{{s}^{-1}}\]

C)

\[120\,\,m{{s}^{-1}}\]

D)

       \[600\,\,m{{s}^{-1}}\]

View Answer
103) 0.5 mole of each of\[{{H}_{2}},\,\,S{{O}_{2}}\]and\[C{{H}_{4}}\]are kept in a container. A hole was made in the container. After 3 h, the order of partial pressures in the container will be

A)

\[pS{{O}_{2}}>p{{H}_{2}}>pC{{H}_{4}}\]

B)

       \[pS{{O}_{2}}>pC{{H}_{4}}>p{{H}_{2}}\]

C)

       \[p{{H}_{2}}>pS{{O}_{2}}>pC{{H}_{4}}\]

D)

       \[p{{H}_{2}}>pC{{H}_{4}}>pS{{O}_{2}}\]

View Answer
104) The enthalpy of formation of\[N{{H}_{3}}\]is\[-46\,\,kJ\,\,mo{{l}^{-1}}\]. The enthalpy change for the reaction \[2N{{H}_{3}}(g)\xrightarrow{{}}{{N}_{2}}(g)+3{{H}_{2}}(g)\]is

A)

\[+184\,\,kJ\]

B)

       \[+23\,\,kJ\]

C)

       \[+92\,\,kJ\]

D)

       \[+46\,\,kJ\]

View Answer
105) 5 moles of\[S{{O}_{2}}\]and 5 moles of\[{{O}_{2}}\]are allowed to react. At equilibrium, it was found that 60% of\[S{{O}_{2}}\]is used up. If the partial pressure of the equilibrium mixture is one atmosphere, the partial pressure of\[{{O}_{2}}\]is

A)

\[0.82\,\,atm\]

B)

                                       \[0.52\,\,atm\]

C)

       \[0.21\,\,atm\]

D)

       \[0.41\,\,atm\]

View Answer
106) \[2HI(g){{H}_{2}}(g)+{{I}_{2}}(g)\] The equilibrium constant of the above reaction is\[6.4\]at\[300\,\,K\]. If 0.25 mole each of\[{{H}_{2}}\]and \[{{I}_{2}}\] are added to the system, the equilibrium constant will be

A)

6.4

B)

       0.8

C)

       3.2

D)

       1.6

View Answer
107) Rate of physical adsorption increases with

A)

decrease in surface area

B)

       decrease in temperature

C)

       decrease in pressure

D)

       increase in temperature

View Answer
108) \[IUPAC\]name of\[{{(C{{H}_{3}})}_{3}}CCl\]is

A)

\[n-\]butyl chloride

B)

       3-chloro butane

C)

       2-chloro 2-methyl propane

D)

       \[t-\]butyl chloride

View Answer
109) Lucas test is associated with

A)

aldehydes

B)

       phenols

C)

       carboxylic acids

D)

       alcohols

View Answer
110) An organic compound on heating with\[CuO\]produces\[C{{O}_{2}}\]but no water. The organic compound may be

A)

carbon tetrachloride

B)

       chloroform

C)

       methane

D)

       ethyl iodide

View Answer
111) The condensation polymer among the following is

A)

rubber

B)

       protein

C)

       PVC

D)

       polyethene

View Answer
112) The order of stability of metal oxides is

A)

\[A{{l}_{2}}{{O}_{3}}<MgO<F{{e}_{2}}{{O}_{3}}<C{{r}_{2}}{{O}_{3}}\]

B)

       \[C{{r}_{2}}{{O}_{3}}<MgO<A{{l}_{2}}{{O}_{3}}<F{{e}_{2}}{{O}_{3}}\]

C)

       \[F{{e}_{2}}{{O}_{3}}<C{{r}_{2}}{{O}_{3}}<A{{l}_{2}}{{O}_{3}}<MgO\]

D)

       \[F{{e}_{2}}{{O}_{3}}<A{{l}_{2}}{{O}_{3}}<C{{r}_{2}}{{O}_{3}}<MgO\]

View Answer
113) The temperature of the slag zone in the metallurgy of iron using blast furnace is

A)

\[1200-{{1500}^{o}}C\]

B)

       \[1500-{{1600}^{o}}C\]

C)

       \[400-{{700}^{o}}C\]

D)

       \[800-{{1000}^{o}}C\]

View Answer
114) The function of\[Fe{{(OH)}_{3}}\]in the contact process is

A)

to remove arsenic impurity

B)

       to detect colloidal impurity

C)

       to remove moisture

D)

       to remove dust particles

View Answer
115) In which of the following, \[N{{H}_{3}}\] is not used?

A)

Tollens reagent

B)

       Nesslers reagent

C)

       Group reagent for the analysis of IV group basic radicals

D)

       Group reagent for the analysis of III group basic radicals

View Answer
116) Argon is used

A)

in filling airships

B)

       to obtain low temperature

C)

       in high temperature welding

D)

       in radiotherapy for treatment of cancer

View Answer
117) The incorrect statement in respect of chromyl chloride test is

A)

formation of red vapours

B)

       formation of lead chromate

C)

       formation of chromyl chloride

D)

       liberation of chlorine

View Answer
118) The magnetic moment of a transition metal ion is\[\sqrt{15}\,\,BM\]. Therefore, the number of unpaired electrons present in it, is

A)

3

B)

       4

C)

       1

D)

       2

View Answer
119) The\[IUPAC\]name of\[{{[Co{{(N{{H}_{3}})}_{5}}ONO]}^{2+}}\]ion is

A)

penta ammine nitrito cobalt (IV) ion

B)

       penta ammine nitrito cobalt (III) ion

C)

       penta ammine nitro cobalt (III) ion

D)

       penta ammine nitro cobalt (IV) ion

View Answer
120) The oxidation state of Fe in the brown ring complex:\[[Fe{{({{H}_{2}}O)}_{5}}NO]S{{O}_{4}}\]is

A)

+3

B)

                  0

C)

       +2

D)

       +1

View Answer
121) If\[f:[2,\,\,3]\to R\] is defined by\[f(x)={{x}^{3}}+3x-2\], then the range\[f(x)\]is contained in the interval

A)

\[[1,\,\,12]\]

B)

\[[12,\,\,34]\]

C)

\[[35,\,\,50]\]

D)

       \[[-12,\,\,12]\]

View Answer
122) \[\left\{ x\in R:\frac{2x-1}{{{x}^{3}}+4{{x}^{2}}+3x}\in R \right\}\]equals

A)

\[R-\{0\}\]

B)

\[R-\{0,\,\,1,\,\,3\}\]

C)

\[R-\{0,\,\,-1,\,\,-3\}\]

D)

\[R-\left\{ 0,\,\,-1,\,\,-3,\,\,+\frac{1}{2} \right\}\]

View Answer
123) Using mathematical induction, 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) The number of subsets of\[\{1,\,\,2,\,\,3,...,9\}\] containing at least one odd number is

A)

324

B)

                      396

C)

496

D)

                       512

View Answer
125) \[p\]points are chosen on each of the three coplanar lines. The maximum number of triangles formed with vertices at these points is

A)

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

B)

\[\frac{1}{2}({{p}^{3}}+p)\]

C)

\[\frac{{{p}^{2}}}{2}(5p-3)\]

D)

       \[{{p}^{2}}(4p-3)\]

View Answer
126) A binary sequence is an array of 0s and 1s. The number of n-digit binary sequences which contain even number of 0s is

A)

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

B)

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

C)

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

D)

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

View Answer
127) The coefficient of\[{{x}^{24}}\]in the expansion of\[{{(1+{{x}^{2}})}^{12}}(1+{{x}^{12}})(1+{{x}^{24}})\]

A)

\[^{12}{{C}_{6}}\]

B)

\[^{12}{{C}_{6}}+2\]

C)

\[^{12}{{C}_{6}}+4\]

D)

       \[^{12}{{C}_{6}}+6\]

View Answer
128) If\[x\]is numerically so small so that\[{{x}^{2}}\]and higher powers of\[x\]can be neglected, then\[{{\left( 1+\frac{2x}{3} \right)}^{3/2}}\cdot {{(32+5x)}^{-1/5}}\]is approximately equal to

A)

\[\frac{32+31x}{64}\]

B)

\[\frac{31+32x}{64}\]

C)

\[\frac{31-32x}{64}\]

D)

       \[\frac{1-2x}{64}\]

View Answer
129) For\[|x|\,\,<1\], the constant term in the expansion of\[\frac{1}{{{(x-1)}^{2}}(x-2)}\]is

A)

2

B)

1

C)

0

D)

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

View Answer
130) \[\frac{1}{{{e}^{3x}}}({{e}^{x}}+{{e}^{5x}})={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...\]\[\Rightarrow \,\,\,2{{a}_{1}}+{{2}^{3}}{{a}_{3}}+{{2}^{5}}{{a}_{5}}+...\]is equal to

A)

\[e\]

B)

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

C)

1

D)

       0

View Answer
131) The roots of \[(x-a)(x-a-1)+(x-a-1)(x-a-2)\]\[+(x-a)(x-a-2)=0\], \[a\in R\]are always

A)

equal

B)

imaginary

C)

real and distinct

D)

rational and equal

View Answer
132) Let\[f(x)={{x}^{2}}+ax+b\], where\[a,\,\,b\in R\]. If\[f(x)=0\]has all its roots imaginary, then the roots of\[f(x)+f(x)+f(x)=0\]are

A)

real and distinct

B)

imaginary

C)

equal

D)

       rational and equal

View Answer
133) If\[\alpha ,\,\,\beta ,\,\,\gamma \]are the roots of\[{{x}^{3}}+4x+1=0\], then the equation whose roots are\[\frac{{{\alpha }^{2}}}{\beta +\gamma },\,\,\frac{{{\beta }^{2}}}{\gamma +\alpha }\],\[\frac{{{\gamma }^{2}}}{\alpha +\beta }\] is

A)

\[{{x}^{3}}-4x-1=0\]

B)

\[{{x}^{3}}-4x+1=0\]

C)

\[{{x}^{3}}+4x-1=0\]

D)

\[{{x}^{3}}+4x+1=0\]

View Answer
134) If\[f(x)=2{{x}^{4}}-13{{x}^{2}}+ax+b\]is divisible by\[{{x}^{2}}-3x+2\], then\[(a,\,\,b)\]is equal to

A)

(-9,-2)

B)

                       (6, 4)

C)

(9, 2)

D)

       (2, 9)

View Answer
135) Let\[A\]and\[B\]be two symmetric matrices of same order. Then, the matrix\[AB-BA\]is

A)

a symmetric matrix

B)

a skew-symmetric matrix

C)

a null matrix

D)

the identity matrix

View Answer
136) If one of the roots of\[\left| \begin{matrix}    3 & 5 & x \\    7 & x & 7 \\    x & 5 & 3 \\ \end{matrix} \right|=0\]is\[-10\], then the other roots are

A)

3, 7

B)

       4, 7

C)

3, 9

D)

       3, 4

View Answer
137) If\[x,\,\,y,\,\,z\]are all positive and are the\[pth,\,\,qth\]and\[rth\]terms of a geometric progression respectively, then the value of the determinant \[\left| \begin{matrix} \log x & p & 1 \\ \log y & q & 1 \\ \log z & r & 1 \\ \end{matrix} \right|\] equals

A)

\[\log xyz\]

B)

\[(p-1)(q-1)(r-1)\]

C)

\[pqr\]

D)

\[0\]

View Answer
138) If\[\left[ \begin{matrix}    1 & -1 & x \\    1 & x & 1 \\    x & -1 & 1 \\ \end{matrix} \right]\]has no inverse, then the real value of x is

A)

2

B)

       3

C)

0

D)

       1

View Answer
139) If\[\alpha \]and\[\beta \]are the roots of\[{{x}^{2}}-2x+4=0\], then the value of\[{{\alpha }^{6}}+{{\beta }^{6}}\]is

A)

32

B)

                       64

C)

128

D)

       256

View Answer
140) The locus of z satisfying the inequality \[\left| \frac{z+2i}{2z+i} \right|<1\], where\[z=x+iy\], is

A)

\[{{x}^{2}}+{{y}^{2}}<1\]

B)

\[{{x}^{2}}-{{y}^{2}}<1\]

C)

\[{{x}^{2}}+{{y}^{2}}>1\]

D)

       \[2{{x}^{2}}+3{{y}^{2}}<1\]

View Answer
141) If n is an integer which leaves remainder one when    divided    by    three,     then\[{{(1+\sqrt{3}i)}^{n}}+{{(1-\sqrt{3}i)}^{n}}\]equals

A)

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

B)

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

C)

\[-{{(-2)}^{n}}\]

D)

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

View Answer
142) The period of\[{{\sin }^{4}}x+{{\cos }^{4}}x\]is

A)

\[\frac{{{\pi }^{4}}}{2}\]

B)

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

C)

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

D)

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

View Answer
143) \[\frac{\cos x}{\cos (x-2y)}=\lambda \Rightarrow \tan (x-y)\tan y\]is equal to

A)

\[\frac{1+\lambda }{1-\lambda }\]

B)

\[\frac{1-\lambda }{1+\lambda }\]

C)

\[\frac{\lambda }{1+\lambda }\]

D)

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

View Answer
144) \[\cos A\cos 2A\cos 4A...\cos {{2}^{n-1}}A\]equals

A)

\[\frac{\sin {{2}^{n}}A}{{{2}^{n}}\sin A}\]

B)

\[\frac{{{2}^{n}}\sin {{2}^{n}}A}{\sin A}\]

C)

\[\frac{{{2}^{n}}\sin A}{\sin {{2}^{n}}A}\]

D)

       \[\frac{\sin A}{{{2}^{n}}\sin {{2}^{n}}A}\]

View Answer
145) If\[3\cos x\ne 2\sin x\], then the general solution of\[{{\sin }^{2}}x-\cos 2x=2-\sin 2x\]is

A)

\[n\pi +{{(-1)}^{n}}\frac{\pi }{2},\,\,n\in Z\]

B)

\[\frac{n\pi }{2},\,\,n\in Z\]

C)

\[(4n\pm 1)\frac{\pi }{2},\,\,n\in Z\]

D)

\[(2n-1)\pi ,\,\,n\in Z\]

View Answer
146) \[{{\cos }^{-1}}\left( \frac{-1}{2} \right)-2{{\sin }^{-1}}\left( \frac{1}{2} \right)+3{{\cos }^{-1}}\left( \frac{-1}{\sqrt{2}} \right)\]\[-4{{\tan }^{-1}}(-1)\]equals

A)

\[\frac{19\pi }{12}\]

B)

\[\frac{35\pi }{12}\]

C)

\[\frac{47\pi }{12}\]

D)

       \[\frac{43\pi }{12}\]

View Answer
147) \[{{\sinh }^{-1}}2+{{\sinh }^{-1}}3=x\Rightarrow \cosh x\]is equal to

A)

\[\frac{1}{2}(3\sqrt{5}+2\sqrt{10})\]

B)

\[\frac{1}{2}(3\sqrt{5}-2\sqrt{10})\]

C)

\[\frac{1}{2}(12+2\sqrt{50})\]

D)

\[\frac{1}{2}(12-2\sqrt{50})\]

View Answer
148) In any\[\Delta \,\,ABC\],\[a(b\cos C-c\cos B)\]equals

A)

\[{{b}^{2}}+{{c}^{2}}\]

B)

\[{{b}^{2}}-{{c}^{2}}\]

C)

\[\frac{1}{b}+\frac{1}{c}\]

D)

       \[\frac{1}{{{b}^{2}}}-\frac{1}{{{c}^{2}}}\]

View Answer
149) In a\[\Delta \,\,ABC\] \[\frac{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}{4{{b}^{2}}{{c}^{2}}}\]equals

A)

\[{{\cos }^{2}}A\]

B)

\[{{\cos }^{2}}B\]

C)

\[{{\sin }^{2}}A\]

D)

       \[{{\sin }^{2}}B\]

View Answer
150) P is a point on the segment joining the feet of two vertical poles of heights\[a\]and\[b\]. The angles of elevation of the tops of the poles from P are\[{{45}^{o}}\]each. Then, the square of the distance between the tops of the poles is

A)

\[\frac{{{a}^{2}}+{{b}^{2}}}{2}\]

B)

\[{{a}^{2}}+{{b}^{2}}\]

C)

\[2({{a}^{2}}+{{b}^{2}})\]

D)

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

View Answer
151) In a quadrilateral\[ABCD\], the point P divides \[DC\]in the ratio\[1:2\]and\[Q\]is the midpoint of\[AC\]. If\[\overrightarrow{\mathbf{AB}}+2\overrightarrow{\mathbf{AD}}+\overrightarrow{\mathbf{BC}}-2\overrightarrow{\mathbf{DC}}=k\overrightarrow{\mathbf{PQ}}\], then\[k\]is equal to

A)

-6

B)

-4

C)

6

D)

       4

View Answer
152) The angle between the lines whose direction cosines satisfy the equations\[l+m+n=0\],\[{{l}^{2}}+{{m}^{2}}-{{n}^{2}}=0\]is

A)

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

B)

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

C)

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

D)

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

View Answer
153) If\[\overset{\to }{\mathop{\mathbf{a}}}\,=-\widehat{\mathbf{i}}+\widehat{\mathbf{j}}+2\widehat{\mathbf{k}}\], \[\mathbf{\vec{b}=2\hat{i}-\hat{j}-\hat{k}}\] and\[\overset{\to }{\mathop{\mathbf{c}}}\,=-2\widehat{\mathbf{i}}+\widehat{\mathbf{j}}+3\widehat{\mathbf{k}}\], then the angle between\[2\overrightarrow{\mathbf{a}}-\overrightarrow{\mathbf{c}}\]and\[\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}\]is

A)

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

B)

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

C)

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

D)

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

View Answer
154) If\[{{m}_{1}},\,\,{{m}_{2}},\,\,{{m}_{3}}\]and\[{{m}_{4}}\]are respectively the magnitudes of the vectors \[{{\overrightarrow{\mathbf{a}}}_{1}}=2\widehat{\mathbf{i}}-\widehat{\mathbf{j}}+\widehat{\mathbf{k}},\,\,\,\,{{\overrightarrow{\mathbf{a}}}_{2}}=3\widehat{\mathbf{i}}-4\widehat{\mathbf{j}}-4\widehat{\mathbf{k}}\] \[{{\overrightarrow{\mathbf{a}}}_{3}}=\widehat{\mathbf{i}}+\widehat{\mathbf{j}}-\widehat{\mathbf{k}}\]and\[{{\overrightarrow{\mathbf{a}}}_{4}}=-\widehat{\mathbf{i}}+3\widehat{\mathbf{j}}+\widehat{\mathbf{k}}\] then the correct order of\[{{m}_{1}},\,\,{{m}_{2}},\,\,{{m}_{3}}\]and\[{{m}_{4}}\]is

A)

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

B)

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

C)

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

D)

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

View Answer
155) Suppose\[\overrightarrow{\mathbf{a}}=\lambda \widehat{\mathbf{i}}-7\widehat{\mathbf{j}}+3\widehat{\mathbf{k}}\]. If\[\overrightarrow{\mathbf{b}}=\lambda \widehat{\mathbf{i}}+2\lambda \widehat{\mathbf{k}}\]. If the angle between\[\overrightarrow{\mathbf{a}}\]and\[\overrightarrow{\mathbf{b}}\]is greater than\[{{90}^{o}}\], then\[\lambda \]satisfies the inequality

A)

\[-7<\lambda <1\]

B)

\[\lambda >1\]

C)

\[1<\lambda <7\]

D)

       \[-5<\lambda <1\]

View Answer
156) The volume of the tetrahedron having the edges\[\widehat{\mathbf{i}}+2\widehat{\mathbf{j}}-\widehat{\mathbf{k}},\,\,\widehat{\mathbf{i}}+\widehat{\mathbf{j}}+\widehat{\mathbf{k}},\,\,\widehat{\mathbf{i}}-\widehat{\mathbf{j}}+\lambda \widehat{\mathbf{k}}\]as coterminous, is\[\frac{2}{3}\]cubic unit. Then\[\lambda \]equals

A)

1

B)

2

C)

3

D)

4

View Answer
157) If\[A\]and\[B\]are events of a random experiment such that\[P(A\cup B)=\frac{4}{5},\,\,P(\bar{A}\cup \bar{B})=\frac{7}{10}\]and\[P(B)=\frac{2}{5}\], then\[P(A)\]equals

A)

\[\frac{9}{10}\]

B)

\[\frac{8}{10}\]

C)

\[\frac{7}{10}\]

D)

       \[\frac{3}{5}\]

View Answer
158) The probability of choosing randomly a number\[c\]from the set\[\{1,\,\,2,\,\,3,...,\,\,9\}\]such that the quadratic equation\[{{x}^{2}}+4x+c=0\]has real roots is

A)

\[\frac{1}{9}\]

B)

\[\frac{2}{9}\]

C)

\[\frac{3}{9}\]

D)

       \[\frac{4}{9}\]

View Answer

159) Suppose that\[{{E}_{1}}\]and\[{{E}_{2}}\]are two events of\[a\]random experiment such that\[P({{E}_{1}})=\frac{1}{4}\],\[P({{E}_{2}}/{{E}_{1}})=\frac{1}{2}\] and\[P({{E}_{1}}/{{E}_{2}})=\frac{1}{4}\], observe the lists given below

List-I	List-II
(A) \[P({{E}_{2}})\]	(i) 1/4
(B) \[P({{E}_{1}}\cup {{E}_{2}})\]	(ii) 5/8
(C) \[P({{\bar{E}}_{1}}/{{\bar{E}}_{2}})\]	(iii) 1/8
(D)\[P({{E}_{1}}/{{\bar{E}}_{2}})\]	(iv) 1/2
	(v) 3/8
	(vi) 3/4

The correct matching of the List I from the List II is

A-(ii) B-(iii) C-(vi) D-(i)

A-(iv) B-(v) C-(vi) D-(i)

A-(iv) B-(ii) C-(vi) D-(i)

A-(i) B-(ii) C-(iii) D-(iv)

View Answer

160) If\[m\]and\[{{\sigma }^{2}}\]are the mean and variance of the random variable, whose distribution is given by

\[X=x\] 0 1 2 3

\[P(X=x)\] \[\frac{1}{3}\] \[\frac{1}{2}\] 0 \[\frac{1}{6}\]

Then

A)

\[m={{\sigma }^{2}}=2\]

B)

       \[m=1,\,\,{{\sigma }^{2}}=2\]

C)

\[m={{\sigma }^{2}}=1\]

D)

       \[m=2,\,\,{{\sigma }^{2}}=1\]

View Answer
161) If\[X\]is a binomial variate with the range\[\{0,\,\,1,\,\,2,\,\,3,\,\,4,\,\,5,\,\,6\}\]and\[P(X=2)=4P(X=4),\]then the parameter\[p\]of\[X\]is

A)

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

B)

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

C)

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

D)

       \[\frac{3}{4}\]

View Answer
162) The transformed equation of\[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\]when the axes are rotated through an angle \[{{36}^{o}}\]is

A)

\[\sqrt{5}{{X}^{2}}-4XY+{{Y}^{2}}={{r}^{2}}\]

B)

\[{{X}^{2}}+2XY-\sqrt{5}{{Y}^{2}}={{r}^{2}}\]

C)

\[{{X}^{2}}-{{Y}^{2}}={{r}^{2}}\]

D)

\[{{X}^{2}}+{{Y}^{2}}={{r}^{2}}\]

View Answer
163) The area (in square unit) of the circle which touches the lines\[4x+3y=15\]and\[4x+3y=5\] is

A)

\[4\pi \]

B)

       \[3\pi \]

C)

\[2\pi \]

D)

       \[\pi \]

View Answer
164) The point on the line\[3x+4y=5\]which is equidistant from (1, 2) and (3, 4) is

A)

(7, -4)

B)

(15,-10)

C)

(1/7, 8/7)

D)

       (0, 5/4)

View Answer
165) The equation of the straight line perpendicular to the straight line\[3x+2y=0\]and passing through the point of intersection of the lines\[x+3y-1=0\]and\[x-2y+4=0\]is

A)

\[2x-3y+1=0\]

B)

\[2x-3y+3=0\]

C)

\[2x-3y+5=0\]

D)

\[2x-3y+7=0\]

View Answer
166) The value of\[\lambda \]with\[|\lambda |\,\,<16\]such that\[2{{x}^{2}}-10xy+12{{y}^{2}}+5x+\lambda y-3=0\]represents a pair of straight lines, is

A)

-10

B)

-9

C)

10

D)

       9

View Answer
167) The area (in square unit) of the triangle formed by\[x+y+1=0\]and the pair of straight lines\[{{x}^{2}}-3xy+2{{y}^{2}}=0\]is

A)

\[\frac{7}{12}\]

B)

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

C)

\[\frac{1}{12}\]

D)

       \[\frac{1}{6}\]

View Answer
168) The pairs of straight lines\[{{x}^{2}}-3xy+2{{y}^{2}}=0\]and\[{{x}^{2}}-3xy+2{{y}^{2}}+x-2=0\]form a

A)

square but not rhombus

B)

rhombus

C)

parallelogram

D)

rectangle but not a square

View Answer
169) The equations of the circle which pass through the origin and makes intercepts of lengths 4 and 8 on the\[x\]and y-axes respectively are

A)

\[{{x}^{2}}+{{y}^{2}}\pm 4x\pm 8y=0\]

B)

\[{{x}^{2}}+{{y}^{2}}\pm 2x\pm 4y=0\]

C)

\[{{x}^{2}}+{{y}^{2}}\pm 8x\pm 16y=0\]

D)

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

View Answer
170) The locus of centre of a circle which passes through the origin and cuts off a length of 4 unit from the line\[x=3\]is

A)

\[{{y}^{2}}+6x=0\]

B)

\[{{y}^{2}}+6x=13\]

C)

\[{{y}^{2}}+6x=10\]

D)

\[{{x}^{2}}+6y=13\]

View Answer
171) The diameters of a circle are along\[2x+y-7=0\]and\[x+3y-11=0\]. Then, the equation of this circle, which also passes through (5, 7), is

A)

\[{{x}^{2}}+{{y}^{2}}-4x-6y-16=0\]

B)

\[{{x}^{2}}+{{y}^{2}}-4x-6y-20=0\]

C)

\[{{x}^{2}}+{{y}^{2}}-4x-6y-12=0\]

D)

\[{{x}^{2}}+{{y}^{2}}+4x+6y-12=0\]

View Answer
172) The point (3,-4) lies on both the circles\[{{x}^{2}}+{{y}^{2}}-2x+8y+13=0\]and\[{{x}^{2}}+{{y}^{2}}-4x+6y+11=0\]. Then, the angle between the circles is

A)

\[{{60}^{o}}\]

B)

                       \[{{\tan }^{-1}}\left( \frac{1}{2} \right)\]

C)

\[{{\tan }^{-1}}\left( \frac{3}{5} \right)\]

D)

       \[{{135}^{o}}\]

View Answer
173) The equation of the circle which passes through the origin and cuts orthogonally each of the circles\[{{x}^{2}}+{{y}^{2}}-6x+8=0\]and\[{{x}^{2}}+{{y}^{2}}-2x-2y=7\]is

A)

\[3{{x}^{2}}+3{{y}^{2}}-8x-13y=0\]

B)

\[3{{x}^{2}}+3{{y}^{2}}-8x+29y=0\]

C)

\[3{{x}^{2}}+3{{y}^{2}}+8x+29y=0\]

D)

\[3{{x}^{2}}+3{{y}^{2}}-8x-29y=0\]

View Answer
174) The number of normals drawn to the parabola \[{{y}^{2}}=4x\]from the point (1, 0) is

A)

0

B)

1

C)

2

D)

3

View Answer
175) If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8, then the eccentricity is      .

A)

\[\frac{1}{\sqrt{5}}\]

B)

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

C)

\[\frac{3}{5}\]

D)

       \[\frac{4}{5}\]

View Answer
176) If the circle\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]intersects the hyperbola\[xy={{c}^{2}}\]in four points\[({{x}_{i}},\,\,{{y}_{i}})\], for \[i=1,\,\,2,\,\,3\]and 4, then\[{{y}_{1}}+{{y}_{2}}+{{y}_{3}}+{{y}_{4}}\] equals

A)

0

B)

\[c\]

C)

\[a\]

D)

       \[{{c}^{4}}\]

View Answer
177) The midpoint of the chord\[4x-3y=5\]of the hyperbola\[2{{x}^{2}}-3{{y}^{2}}=12\]is

A)

\[\left( 0,\,\,-\frac{5}{3} \right)\]

B)

\[(2,\,\,1)\]

C)

\[\left( \frac{5}{4},\,\,0 \right)\]

D)

       \[\left( \frac{11}{4},\,\,2 \right)\]

View Answer
178) The eccentricity of the conic\[\frac{5}{r}=2+3\cos \theta +4\sin \theta \]is

A)

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

B)

\[1\]

C)

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

D)

       \[\frac{5}{2}\]

View Answer
179) The perimeter of the triangle with vertices at \[(1,\,\,0,\,\,0),\,\,(0,\,\,1,\,\,0)\]and\[(0,\,\,0,\,\,1)\]is

A)

\[3\]

B)

\[2\]

C)

\[2\sqrt{2}\]

D)

       \[3\sqrt{2}\]

View Answer
180) If a line in the space makes angle\[\alpha \],\[\beta \]and\[\gamma \] with the coordinate axes, then\[\cos 2\alpha +\cos 2\beta +\cos 2\gamma +{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta \]\[+{{\sin }^{2}}\gamma \] equals

A)

\[-1\]

B)

\[0\]

C)

\[1\]

D)

       \[2\]

View Answer
181) The image of the point (3, 2, 1) in the plane\[2x-y+3z=7\]is

A)

(1, 2, 3)

B)

(2, 3, 1)

C)

(3, 2, 1)

D)

       (2, 1, 3)

View Answer
182) The radius of the sphere\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=12x+4y+3z\]is

A)

\[\frac{13}{2}\]

B)

13

C)

26

D)

       52

View Answer
183) \[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x+5}{x+2} \right)}^{x+3}}\]equals

A)

\[e\]

B)

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

C)

\[{{e}^{3}}\]

D)

       \[{{e}^{5}}\]

View Answer
184) If\[f:R\to R\]is denned by \[f(x)=\left\{ \begin{matrix}    \frac{2\sin x-\sin x}{2x\cos x}, & if\,\,x\ne 0 \\    a, & if\,\,x=0 \\ \end{matrix} \right.\] then the value of a so that/is continuous at 0 is

A)

2

B)

1

C)

-1

D)

       0

View Answer
185) \[x=\frac{1-\sqrt{y}}{1+\sqrt{y}}\Rightarrow \frac{dy}{dx}\]is equal to

A)

\[\frac{4}{{{(x+1)}^{2}}}\]

B)

       \[\frac{4(x-1)}{{{(1+x)}^{3}}}\]

C)

\[\frac{x-1}{{{(1+x)}^{3}}}\]

D)

       \[\frac{4}{{{(x+1)}^{3}}}\]

View Answer
186) \[x={{\cos }^{-1}}\left( \frac{1}{\sqrt{1+{{t}^{2}}}} \right),\,\,y={{\sin }^{-1}}\left( \frac{t}{\sqrt{1+{{t}^{2}}}} \right)\Rightarrow \frac{dy}{dx}\] is equal to

A)

0

B)

\[\tan t\]

C)

1

D)

       \[\sin t\cos t\]

View Answer
187) \[\frac{d}{dx}\left[ a{{\tan }^{-1}}x+b\log \left( \frac{x-1}{x+1} \right) \right]=\frac{1}{{{x}^{4}}-1}\] \[\Rightarrow \,\,a-2b\]is equal to

A)

1

B)

-1

C)

0

D)

       2

View Answer
188) \[y={{e}^{a{{\sin }^{-1}}x}}\Rightarrow (1-{{x}^{2}}){{y}_{n+2}}-(2n+1)x{{y}_{n+1}}\]is equal to

A)

\[-({{n}^{2}}+{{a}^{2}}){{y}_{n}}\]

B)

\[({{n}^{2}}-{{a}^{2}}){{y}_{n}}\]

C)

\[({{n}^{2}}+{{a}^{2}}){{y}_{n}}\]

D)

\[-({{n}^{2}}-{{a}^{2}}){{y}_{n}}\]

View Answer
189) There is an error of\[\pm 0.04\,\,cm\]in the measurement of the diameter of a sphere. When the radius is\[10\,\,cm\], the percentage error in the volume of the sphere is

A)

\[\pm 1.2\]

B)

\[\pm 1.0\]

C)

\[\pm 0.8\]

D)

       \[\pm 0.6\]

View Answer
190) The function\[f(x)={{x}^{3}}+a{{x}^{2}}+bx+c,\,\,{{a}^{2}}\le 3b\] has

A)

one maximum value

B)

one minimum value

C)

no extreme value

D)

one maximum and one minimum value

View Answer
191) . The maximum value of\[\frac{\log x}{x},\,\,0<x<\infty \]is

A)

\[\infty \]

B)

\[e\]

C)

\[1\]

D)

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

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

A)

0

B)

2

C)

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

D)

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

View Answer
193) \[\int{\frac{dx}{(x+1)\sqrt{4x+3}}}\]is equal to

A)

\[{{\tan }^{-1}}\sqrt{4x+3}+c\]

B)

\[3{{\tan }^{-1}}\sqrt{4x+3}+c\]

C)

\[2{{\tan }^{-1}}\sqrt{4x+3}+c\]

D)

\[4{{\tan }^{-1}}\sqrt{4x+3}+c\]

View Answer
194) \[\int{\left( \frac{2-\sin 2x}{1-\cos 2x} \right)}\,{{e}^{x}}\]is equal to

A)

\[-{{e}^{x}}\cot x+c\]

B)

\[{{e}^{x}}\cot x+c\]

C)

\[2{{e}^{x}}\cot x+c\]

D)

       \[-2{{e}^{x}}+\cot x+c\]

View Answer
195) \[{{I}_{n}}=\int{{{\sin }^{n}}}x\,\,dx\], then\[n{{I}_{n}}-(n-1){{I}_{n-2}}\]equals

A)

\[{{\sin }^{n-1}}x\cos x\]

B)

\[{{\cos }^{n-1}}x\sin x\]

C)

\[-{{\sin }^{n-1}}x\cos x\]

D)

\[-{{\cos }^{n-1}}x\sin x\]

View Answer
196) \[\int_{0}^{\pi }{\frac{1}{1+\sin x}dx}\]is equal to

A)

1

B)

2

C)

-1

D)

       -2

View Answer
197) The line\[x=\frac{\pi }{4}\]divides the area of the region bounded by\[y=\sin x,\,\,y=\cos x\]and x-axis\[\left( 0\le x\le \frac{\pi }{2} \right)\]into two regions of areas\[{{A}_{1}}\]and\[{{A}_{2}}\]. Then\[{{A}_{1}},\,\,{{A}_{2}}\]equals

A)

4 : 1

B)

3 : 1

C)

2 : 1

D)

       1 : 1

View Answer
198) The velocity of a particle which starts from rest is given by the following table.

t (in second) 0 2 4 6 8 10

v ( in m/s) 0 12 16 20 35 60

The total distance travelled (in metre) by the particles in 10 s, using Trapezoidal rule is given by

A)

113

B)

226

C)

143

D)

       246

View Answer
199) The solution of the differential equation\[\frac{dy}{dx}=\sin (x+y)\tan (x+y)-1\]is

A)

\[\cos ec(x+y)+\tan (x+y)=x+c\]

B)

\[x+\cos ec(x+y)=c\]

C)

\[x+\tan (x+y)=c\]

D)

\[x+\sec (x+y)=c\]

View Answer
200) The differential equation of the family\[y=a{{e}^{x}}+bx\,\,{{e}^{x}}+c{{x}^{2}}{{e}^{x}}\]of curves, where\[a,\,\,b,\,\,c\]are arbitrary constants, is

A)

\[y+3y+3y+y=0\]

B)

\[y+3y-3y-y=0\]

C)

\[y-3y-3y+y=0\]

D)

\[y-3y+3y-y=0\]

View Answer
201) INTREPID

A)

Coward

B)

Fearless

C)

Selfish

D)

       Ugly

View Answer
202) LAMENTABLE

A)

Deplorable

B)

Contemptible

C)

Remorseful

D)

       Scornful

View Answer
203) DEFT

A)

Skilful

B)

Vigorous

C)

Swift

D)

       Deceitful

View Answer
204) HOARD

A)

Destroy

B)

Hide

C)

Store

D)

       Divide

View Answer
205) He is too dull...... the problem.

A)

solves

B)

to solve

C)

solving

D)

       to solving

View Answer
206) The speaker drew the attention of the audience ...... the burning issue.

A)

to

B)

                       towards

C)

on

D)

       into

View Answer
207) Its nine oclock ...... and Im still at breakfast.

A)

till

B)

yet

C)

so

D)

       already

View Answer
208) Although he is blind, he is very fast ...... calculations.

A)

in

B)

with

C)

at

D)

       about

View Answer
209) VIRTUE

A)

Vice

B)

Fraud

C)

Wickedness

D)

       Crime

View Answer
210) ZEAL

A)

Hostility

B)

Diffidence

C)

Apathy

D)

       Contempt

View Answer
211) AGONY

A)

Enmity

B)

Cruelty

C)

Abhorrence

D)

       Ecstasy

View Answer
212) ERUDITE

A)

Professional

B)

Immature

C)

Unimaginative

D)

       Ignorant

View Answer
213) A person who speaks for or supports an idea

A)

Pioneer

B)

Adviser

C)

Advocate

D)

       Ideologist

View Answer
214) A man of odd habits

A)

Eccentric

B)

Cynical

C)

Introvert

D)

       Moody

View Answer
215) A thing or person behind time

A)

Lazy

B)

Sluggish

C)

Indolent

D)

       Antiquated

View Answer
216) One whose attitude is : eat, drink and be merry

A)

Epicurean

B)

Cynic

C)

Materialistic

D)

       Stoic

View Answer
217) Older people often stay at home and watch TV because it is cold and dark in winter.

A)

seldom

B)

frequently

C)

sometimes

D)

No improvement

View Answer
218) You must find someone to accompany you to Mumbai

A)

no one

B)

everyone

C)

anyone

D)

       No improvement

View Answer
219) No sooner ne reached home than all the villagers gathered at his home to listen to his story.

A)

would he reach

B)

did he reach

C)

have he reached

D)

No improvement

View Answer
220) I wish I was with him.

A)

have been

B)

were

C)

am

D)

       No improvement

View Answer
221) Sandstone : Limestone : Coal

A)

They are formed by metamorphic rocks.

B)

They are chemical minerals.

C)

They are found in river beds.

D)

They are formed in sedimentary rocks.

View Answer
222) Sweep : Scrub : Wipe

A)

These are terms connected with rubbing.

B)

These are games of cards.

C)

These are terms used by motor mechanics.

D)

These are terms connected with cleaning.

View Answer
223) Delhi : Agra : Mathura

A)

They have been capitals of the country

B)

They have exquisite temples.

C)

They have religious background

D)

They are situated on the bank of river Yamuna.

View Answer
224) Press : Television : Cinema

A)

They are means of entertainment.

B)

They are means of mass media.

C)

They give worldwide news.

D)

All are public undertakings.

View Answer
225) Comets : Stars : Satellites

A)

They are shining masses-

B)

They give out light.

C)

They are rotating from left to right

D)

They are heavenly bodies.

View Answer
226) Mayagine : Story : Article

A)

Tea : Milk : Sugar

B)

Television : Newspaper : Entertainment

C)

Bed : Quilt : Pillow

D)

Novel : Drama : Literature

View Answer
227) Juice : Orange : Banana

A)

Table : Chair : Wood

B)

Fish : Shark : Water

C)

Cow : Milk : Curd

D)

Ink : Pen : Pencil

View Answer
228) Carnivorous : Tiger : Wolf

A)

Mango : Banana : Fruit

B)

Worker: Master: Manager

C)

Cat : Cow : Milk

D)

Student : Boy : Girl

View Answer
229) Rain : Cloud : Evaporation

A)

Pain : Injury : Accident

B)

Cold : Cough : Sneezing

C)

Purse : Leather : Tanning

D)

Fragrance : Flower : Bud

View Answer
230) Dog : Squirrel : Tail

A)

Cottage : Hut : Palace

B)

Fish : Crocodile : Water

C)

Horse : OX : Horn

D)

Truck : Scooter : Gear

View Answer
231) The five intertwined rings or circles on the Olympic Dag made of white [From left to right] are

A)

Blue, yellow, black, green and red.

B)

Yellow, red, green, black and blue.

C)

Red, green, black, yellow and blue.

D)

Yellow, green black, blue and red.

View Answer
232) The national remote sensing agency is located at

A)

Delhi

B)

Hyderabad

C)

Bangalore

D)

       Lucknow

View Answer
233) The Nobel Prize are given to Dec, 10 on die death anniversary of

A)

Linus Pauling

B)

Frederic Sanger

C)

Alfred Bernard

D)

       John Bardeen

View Answer
234) The term Gambit is used in

A)

Chess

B)

Boning

C)

Baseball

D)

       Polo

View Answer
235) Words fastest missileship INS Prahar was commissioned in

A)

1996

B)

1997

C)

1998

D)

       1999

View Answer
236) Nati is the classical dances of

A)

Tamil Nadu

B)

       Assam

C)

Himachal Pradesh

D)

Andhra Pradesh

View Answer
237) The headquarter of International Labour Organization is located at

A)

Geneva

B)

       Paris

C)

New York

D)

       Rome

View Answer
238) The first Indian woman to receive Bharat Rama was

A)

Mother Teresa

B)

      Mrs. Indira Gandhi

C)

Ashapurana devi

D)

      Aarti Saha

View Answer
239) Kip is the currency of

A)

Kuwait

B)

Lebanon

C)

Laos

D)

       Malaysia

View Answer
240) The charter of the United Nations was signed on June 26, 1945 in

A)

San Francisco

B)

       Washington D.C.

C)

Landon

D)

       Trygue Le

View Answer

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\[X=x\]	0	1	2	3
\[P(X=x)\]	\[\frac{1}{3}\]	\[\frac{1}{2}\]	0	\[\frac{1}{6}\]

t (in second)	0	2	4	6	8	10
v ( in m/s)	0	12	16	20	35	60

Solved papers for Manipal Engineering Manipal Engineering Solved Paper-2009

done Manipal Engineering Solved Paper-2009 Total Questions - 240

Study Package

Manipal Engineering Solved Paper-2009 Total Questions - 240