In ruby laser, the stimulated emission is due to transition from
A
metastable state to any lower state
B
any higher state of lower state
C
metastable state to ground state
D
any higher state to ground state
Question 2Single Answer
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 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
Question 3Single Answer
convex lens made of glass has focal length 0.15m in air. If the refractive index of glass is 3/2, and that of water is 4/3 the focal length of lens when immersed in water is
A
0.45 m
B
0.15 m
C
0.30 m
D
0.6 m
Question 4Single Answer
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 wavefront
Question 5Single Answer
Three resistors 1 Ω, 2 Ω, 3Ω resistor a 3 V battery is connected. The current through 3 Ω resistor is -
A
0.75 A
B
1 A
C
2 A
D
1.5 A
Question 6Single Answer
In a common emitter amplifier the input signal is applied across
A
anywhere
B
emitter-collector
C
collector-base
D
base-emitter
Question 7Single Answer
Adding detergents to water helps in removing dirty greasy stains. This is because
1. It increases greasy stains. This is because
2. It decreases the oil-water surface tension
3. It increases the viscosity of the solution
4. Dirt is held suspended surrounded by detergent molecules
A
2 and 4
B
1 only
C
3 and 4
D
4 only
Question 8Single Answer
Choose the correct statement (a) for a cricket ball that is spinning clockwise through air
S1 : Statemlines of air are symmetric around the ball.
S2 : The velocity of air above the ball relative to it is larger than that below the ball.
S3 : The velocity of air above the ball relative to it is smaller than that below the ball.
S4 : There is a net upward force on the ball.
A
S1,S2 and S4
B
S2 and S4
C
S4 only
D
S3 only
Question 9Single Answer
Ferromagnetic materials used in a transformer must have
A
low permeability and high hysterisis loss
B
high permeability and low hysterisis loss
C
high permeability and high hysterisis loss
D
low permeability and low hysterisis loss
Question 10Single Answer
According to Newton’s corpuscular theory, the speed of light is
A
same in all the medium
B
lesser in rarer medium
C
lesser in denser medium
D
independent of the medium
Question 11Single Answer
For the constructive interference the path difference between the two interfering waves must be equal to
A
(2𝜋 + 1)λ
B
2n𝜋
C
nλ
D
n
Question 12Single Answer
The accurate measurement of emf can be obtained using
A
multimeter
B
voltmeter
C
voltameter
D
potentiometer
Question 13Single Answer
A person, with outstretched arms, is spinning on a rotating stool. He suddenly brings his arms down to his sides. Which the following is true about his kinetic energy K and angular momentum L?
A
Both K and L increase
B
Both K and L remain unchanged
C
K remains constant, L increases
D
K increases but L remains constant
Question 14Single Answer
Which of the following is not a thermodynamic coordinate?
A
Gas constant (R)
B
Pressure (p)
C
Volume (V)
D
Temperature (T)
Question 15Single Answer
An antenna uses electromagnetic waves of frequency 5 MHz . For proper working, the size of the antenna should be
A
300 m
B
3 km
C
15 m
D
15 km
Question 16Single Answer
The amount of energy released when one microgram of matter is annihilated is
A
25 kWh
B
9 x 1010 kWh
C
3 x 1010 kWh
D
0.5 x 105 kWh
Question 17Single Answer
The number of significant figures in the numbers 4.8000 x 104 48000.50 are respectively
A
5 and 6
B
5 and 7
C
2 and 7
D
2 and 6
Question 18Single Answer
β-decay means emission of electron from
A
innermost electron orbit
B
a stable nucleus
C
outermost electron orbit
D
radioactive nucleus
Question 19Single Answer
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
Question 20Single Answer
A string is wound round the rim of a mounted flywheel of mass 20 kg and radius 20 cm. A steady pull of 25 N is applied on the cord. Neglecting friction and mass of the string, the angular acceleration of the wheel is
A
50 s-2
B
25 s-2
C
12.5 s-2
D
6.25 s-2
Question 21Single Answer
A billiards player hits a stationary ball by an identical ball to pocker the target ball in a corner pocket that is at an angle of 35o with respect to the direction of motion of the first ball. Assuming the collision as elastic and that frictional and rotational motions are not important, the angle made by the target ball with respect to the imcoming ball is
A
35o
B
50o
C
55o
D
60o
Question 22Single Answer
A body of mass 0.05 kg is observed to fall with an acceleration of 9.5 ms-2. The opposing force of air on the body is (g = 9.8 ms-2)
A
0.015 N
B
0.15 N
C
0.030 N
D
zero
Question 23Single Answer
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
Question 24Single Answer
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 light is more the object is less
C
the intensity of I-R light is more the object is less
D
scattering of I–R light is less than visible light
Question 25Single Answer
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 1 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
Question 26Single Answer
Sound waves transfer
A
only energy not momentum
B
energy
C
momentum
D
both (a) and (b)
Question 27Single Answer
G P Thomson experimentally confirmed the existence of matter waves by the phenomena
A
diffraction
B
refraction
C
polarisation
D
scattering
Question 28Single Answer
The resistance of a wire at 300 K is found to be 0.3 Ω. If the temperature coefficient of resistance of wire is 1.5 x 10-3 K-1, the temperature at which the resistance becomes 0.6 Ω is
A
720 K
B
345 K
C
993 K
D
690 K
Question 29Single Answer
Two luminous points sources separated by a certain distance are at 10 km from an observer. If the aperture of his eye is 2.5 x 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
Question 30Single Answer
A door 1.6 m wide requires a force of 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
Question 31Single Answer
Temperature can be expressed as derived quantity in terms of
A
length and mass
B
mass and time
C
length, mass and time
D
None of these
Question 32Single Answer
Electron volt is a unit of
A
potential difference
B
charge
C
energy
D
capacity
Question 33Single Answer
Dimensions of impulse are
A
[MLT –1]
B
[MLT²]
C
[MT–2]
D
[ML–1T–3]
Question 34Single Answer
Potential is measured in
A
joule/coulomb
B
watt/coulomb
C
newton–second
D
None of these
Question 35Single Answer
One Nanometer is equal to
A
10–9m
B
10–6m
C
10–10m
D
10–3m
Question 36Single Answer
Maxwell is the unit of
A
magnetic susceptibility
B
intensity of Magnetisation
C
magnetic Flux
D
magnetic Permeability
Question 37Single Answer
Which of the following is derived physical quantity ?
A
Mass
B
Velocity
C
Length
D
Time
Question 38Single Answer
What are the units of magnetic permeability ?
A
Wb A–1 m–1
B
Wb–1 Am
C
Wb A m–1
D
Wb A–1 m
Question 39Single Answer
The dimensions of pressure gradient are
A
[ML–2 T–2]
B
[ML–2 T–1]
C
[ML–1 T–1]
D
[ML–1 T–2]
Question 40Single Answer
The dimensions of Rydberg's constant are
A
[M0L–1T]
B
[MLT–1]
C
[M0 L–1T0]
D
[ML0 T2]
Question 41Single Answer
'Farad' is the unit of
A
resistance
B
conductance
C
capacitance
D
inductance
Question 42Single Answer
S.I. unit of surface tension is
A
degree/cm
B
N/m
C
N/m²
D
Nm
Question 43Single Answer
Which one of the following pairs does not have the same dimension ?
A
Potential energy and Kinetic energy
B
Density and specific gravity
C
Focal length and height
D
Gravitational force and frictional force
Question 44Single Answer
Which one of the following physical quantity has the same unit as that of pressure ?
A
Angular momentum
B
Stress
C
Strain
D
Work
Question 45Single Answer
The symbol of SI unit of inductance is H. It stands for
A
Holm
B
Halogen
C
Henry
D
Hertz
Question 46Single Answer
Light year is a measure of
A
time
B
distance
C
total amount of light falling on the Earth in a year
D
average intensity of light falling on the Earth in a year
Question 47Single Answer
Which one of the following is not a dimension less quantity ?
A
Strain
B
Relative density
C
Frequency
D
Angle
Question 48Single Answer
The dimensions of universal gas constant are
A
[L² M¹ T–2 K–1]
B
[L¹ M² T–2 K–1]
C
[L¹ M¹ T–2 K–1]
D
[L² M² T–2 K–1]
Question 49Single Answer
The dimensions of magnetic moment are
A
[L²A¹]
B
[L²A–1]
C
[L²/A³]
D
[LA²]
Question 50Single Answer
The dimensions of Wien's constant are
A
[ML0TK]
B
[M0LT0K]
C
[M0L0TK]
D
[MLTK]
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Physics
Question 51Single Answer
The dimensional formula of wave number is
A
[M0L0T–1]
B
[M0L–1T0]
C
[M–1 L–1 T0]
D
[M0 L0 T0]
Question 52Single Answer
The dimensional of Hubble ‘s wave number is
A
[T–1]
B
[M0L0T–2]
C
[MLT4]
D
[MT–1]
Question 53Single Answer
The dimensions of solar constant is
A
[M0L0T0]
B
[MLT–2]
C
[ML²T–2]
D
MT–3
Question 54Single Answer
The dimensional formula for entropy is
A
[MLT–2K¹]
B
[ML2 T-2]
C
[ML²T–2K–1]
D
[ML²T–2K]
Question 55Single Answer
Dimension of specific heat are
A
[ML² T–2 K]
B
[ML² T–2 K–1]
C
[ML²T²K–1]
D
[L²T–2K–2]
Question 56Single Answer
The physical quantity which has the dimensional formula [M¹T–3] is
A
surface tension
B
solar constant
C
density
D
compressibility
Question 57Single Answer
Which one of the following elements is used as a timekeeper in atomic clocks ?
A
Potassium
B
Caesium
C
Calcium
D
Magnesium
Question 58Single Answer
Which one of the following is the value of one nanometer ?
A
10–7 cm
B
10–6 cm
C
10–4 cm
D
10–3 cm
Question 59Single Answer
What is the unit of pressure ?
A
Newton/sq. meter
B
Newton–meter
C
Newton
D
Newton/meter
Question 60Single Answer
The unit of pressure is
A
kg/cm²
B
kg/cm
C
kg/mm
D
kg/cm3
Chemistry
Question 61Single Answer
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
Question 62Single Answer
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
Question 63Single Answer
The one which decreases with dilution is
A
molar conductance
B
conductance
C
specific conductance
D
equivalent conductance
Question 64Single Answer
Vapour pressure of pure ‘A’ is 70 mm of Hg at 25oC. 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 25oC, the vapour pressure of pure ‘B’ at 25oC is
A
28 mm
B
56 mm
C
70 mm
D
140 mm
Question 65Single Answer
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
Question 66Single Answer
In countries nearer to polar region, the roads are sprinkled with CaCl2. 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
Question 67Single Answer
A compound of ‘A’ and ‘B’ crystallises 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
AB2
B
A2B
C
AB
D
AB3
Question 68Single Answer
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 position
Question 69Single Answer
The best method for the conversion of an alcohol into an alkyl chloride is by treating the alcohol with
A
PCI5
B
PCI3
C
SOCl2 in presence of pyridine
D
dry HCl in the presence of anhydrous ZnCl2
Question 70Single Answer
The carbon bond length in benzene is
A
in between C2H6 and C2H4
B
same as in C2H4
C
in between C2H6 and C2H2
D
in between C2H4 and C2H2
Question 71Single Answer
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
ethanal
Question 72Single Answer
An organic compound x is oxidised by using acidified K2Cr2O7. The product obtained reacts with phenyl hydrazine but does not answer silver mirror test. The possible structured of X is
A
CH3CH2OH
B
CH3 – C – CH3
C
(CH3)2CHOH
D
CH3CHO
Question 73Single Answer
Arrange the following in the increasing of their. Basic strengths CH3NH2, (CH3)2NH, (CH3)2N, NH3
A
NH3, < (CH3)3N < (CH3)2NH < CH3NH2
B
NH3 < (CH3)3N < CH3NH2 < (CH3)2NH
C
(CH3)3N < NH3 < CH3NH2 < (CH3)2NH
D
CH3NH2 < (CH3)2NH < (CH3)3N , NH3
Question 74Single Answer
The one which has least iodine value is
A
sunflower oil
B
ginger oil
C
ghee
D
groundnut oil
Question 75Single Answer
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
Question 76Single Answer
There are 20 naturally occurring among acids. The maximum number of tripeptides than can be obtained is
A
8000
B
6470
C
7465
D
5360
Question 77Single Answer
At what temperature ill the RMS velocity of SO2 be the same as that of O2 at 303 K ?
A
403 K
B
303 K
C
606 K
D
273 K
Question 78Single Answer
Phenol is treated with bromine water and shaken well. The white precipitate formed during the process is
A
m–bromophenol
B
2, 4, 6 tribromophenol
C
2-4 dibromophenol
D
A mixture of o-and p-bromophenols
Question 79Single Answer
In thermite process the metal used as reducing agent is:
A
Nickel
B
Zinc
C
Sodium
D
Aluminium
Question 80Single Answer
Which of the following compounds on boiling with alkaline KMnO4 and subsequent acidification will not give benzoic acid?
A
Benzyl alcohol
B
Acetophenone
C
Anisole
D
Toluene
Question 81Single Answer
The base present in DNA, but not in RNA is:
A
Guanine
B
Adenine
C
Uracil
D
Thymine
Question 82Single Answer
The total number of lattice arrangements in different crystal system is:
A
7
B
3
C
8
D
14
Question 83Single Answer
Alcoholic potash is used to bring about :
A
Dehydrogenation
B
Dehydration
C
Dehydrohalogenation
D
Dehalogenation
Question 84Single Answer
Which of the following is the correct statement?
A
Order of a reaction has always an integral value
B
Mechanism of a reaction proposed is always final
C
Zero order reactions are multi-step reactions
D
Order of reaction can be predicted even without knowing the rate law
Question 85Single Answer
The unit of quantity of electricity is:
A
Ohm
B
Ampere
C
Coulomb
D
Volt
Question 86Single Answer
Which of the following organic compounds answers both iodoform test and fehling’s test ?
A
Methanal
B
Ethanol
C
Propane
D
Ethanal
Question 87Single Answer
10 dm3 of N2 gas and 10 dm3 of gas X at the same temperature and pressure contain the same number of molecules.
A
NO
B
H2
C
CO2 or CO
D
All of these
Question 88Single Answer
When the electrons of hydrogen atoms return to L shell from shells of higher energy, we get a series of lines in the spectrum. This series is called
A
Balmer series
B
Lyman series
C
Bracket series
D
Paschen series
Question 89Single Answer
The alcohol obtained by the hydrolysis of oils and fats is:
A
Glycol
B
Glycerol
C
Propanol
D
Pentanol
Question 90Single Answer
Which of the following alloys is used for making magnets for hearing aids?
A
Alnico
B
German silver
C
Invar
D
Monel metal
Question 91Single Answer
Which of the following is not a synthetic fibre:
A
Anygora
B
Rayon
C
Nylon
D
Polyster
Question 92Single Answer
Which one of the following is not contained in Portland cement ?
A
Ca3Al2O6
B
Ca3SiO5
C
Ca2SiO4
D
Ca3(PO4)2
Question 93Single Answer
What is the reson for white cement to be white ?
A
It does not contain carbon
B
It does not contain silicon
C
It does not contain iron
D
It does not contain calcium
Question 94Single Answer
Which fertilizer is assimilated directly by the plant ?
A
Super phosphate
B
Nitrolim
C
Muriate of Potash
D
Humus
Question 95Single Answer
Which of the following chemicals is used in foam fire extinguishers ?
A
Aluminium sulphate
B
Copper sulphate
C
Cobalt sulphate
D
Nickel sulphate
Question 96Single Answer
What is a mixture of potassium nitrate, powdered charcoal and sulphur called ?
A
Glass
B
Cement
C
paint
D
Gun powder
Question 97Single Answer
Which one of the following chemicals is used in beauty parlours for hair – setting ?
A
Sulphur based
B
Phosphorus based
C
Silicon based
D
Iron based
Question 98Single Answer
Which one of the following is used as a mordant in dyeing and tanning industry ?
A
Magnesium oxide
B
Magnesium carbonate
C
Magnesium chloride
D
Magnesium sulphate
Question 99Single Answer
Which one of the following substances is used in the manufacture of safety matches ?
A
Red phosphorus
B
White phosphorus
C
Phosphorus trioxide (P2O3)
D
Black phosphorus
Question 100Single Answer
Which one of the following polymeric materials is used for making bullet proof jacket ?
A
Nylon –6, 6
B
Rayon
C
Kevlar
D
Dacron
Question 101Single Answer
Which one of the following is another name of RDX
A
Cyanohydrin
B
Dextran
C
Cyclohexane
D
Cyclonite
Question 102Single Answer
Which one of the following is used as an explosive ?
A
Phosphorus trichloride
B
Mercuric oxide
C
Graphite
D
Nitroglycerine
Question 103Single Answer
Flint glass is obtained from which of the following ?
A
Zinc and barium borosilicate
B
Sand, red lead and potassium carbonate
C
Sodium aluminium borosilicate
D
Pure silica and zinc oxide
Question 104Single Answer
Which one of the following correctly defines the state of glass ?
A
Crystalline solid
B
Super cooled liquid
C
Condensed gas
D
Liquid crystal
Question 105Single Answer
Which one of the following is not used as fertilizer ?
A
Ammonium nitrate
B
Ammonium sulphide
C
Ammonium phosphate
D
Ammonium sulphate
Question 106Single Answer
Which one of the following elements is needed in the human body to transfer electrical signals by nerve cells ?
A
Lithium
B
Sodium
C
Rubidium
D
Caesium
Question 107Single Answer
Which one of the following is NOT true for bleaching powder ?
A
It is used as a reducing agent in chemical industries
B
It is used for bleaching wood pup in paper factories
C
It is used for disinfecting drinking water
D
It is used for bleaching linen in textile industry
Question 108Single Answer
Hard glass having the same ingredientsas soft glass excepts.
A
hard glass have Na in place of K
B
hard glass having K in place of Na
C
hard glass having both Na and K
D
None of the above
Question 109Single Answer
A complete fertilizer provides
A
N,P, K
B
S, K, N
C
S, B, K
D
N, S, P
Question 110Single Answer
Antacids are commonly used to get rid of acidity in the Stomach. A commonly used antacid is.
A
sodium hydrogen phthalate
B
magnesium hydroxide
C
calcium hydroxide
D
manganese acetate
Question 111Single Answer
Annealing of glass is done to.
A
make it brittle
B
make it opaque
C
make it transparent
D
None of the above
Question 112Single Answer
Petrochemicals are obtained from.
A
coal
B
petroleum
C
coal tar
D
All of these
Question 113Single Answer
The use of chemicals for treatment of diseases is called as.
A
isothermotherapy
B
angiotherapy
C
physiotherapy
D
chemotherapy
Question 114Single Answer
Which of the following is a hypnotic drug ?
A
luminal
B
salol
C
catechol
D
chemisol
Question 115Single Answer
Teflon is a polymer of which of the following monomers ?
A
Tetrafluoroethylene
B
Vinyl chloride
C
Acetylene dichloride
D
None of the above/More than one of the above
Question 116Single Answer
LPG used as domestic fuel chiefly contains–
A
Methane
B
Propane
C
Ethylene
D
Butane
E
None of the above/More than one of the above
Question 117Single Answer
Glass is a.
A
liquid
B
colloid
C
non–crystalline amorphous solid
D
crystalline solid
Question 118Single Answer
Which one of the following acids is used for etching glass ?
A
H2SO4
B
HNO3
C
HF
D
HCI
Question 119Single Answer
What is the purpose of adding plasticizers in paint manufacturing process ?
A
They act as a film–forming constituent
B
They reduce the viscosity
C
They prevent the polymerization and condensation
D
They provide elasticity to the film and minimize its cracking
Question 120Single Answer
Which raw material is used in the preperation of soft glass ?
A
K2CO3, SiO2, CaCO3
B
K2CO3, SiO2, PbCO3
C
Na2CO3, SiO2, CaCO3
D
Na2CO3, SiO2, PbO
Mathematics
Question 121Single Answer
The elements of the set {x : x is an integer, x2 : 4} can be represent as .....Z..... . Here, Z refers to
A
{–2, 2}
B
{–1, 0, 1}
C
{–2, –1, 0, 1, 2}
D
{0, 1, 2}
Question 122Single Answer
A
B
C
D
None of these
Question 123Single Answer
If Y = {x : x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}, then Y can be represent in roster form as
A
{2}
B
{1, 2}
C
{1, 2, 22, ....., 2p – 1}
D
{1, 2, 22, 23,.... 2p – 1, (2p – 1)}
Question 124Single Answer
The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is
A
{1, 2, 3, 4, 5}
B
{1, 2, 3, 4, 5, 6}
C
{2, 4, 6}
D
{1, 3, 5}
Question 125Single Answer
If A B and A B, then
A
A is called a proper subset of B
B
A is called a super set of B
C
A is not a subset of B
D
B is a subset of A
Question 126Single Answer
The number of non-empty subsets of the set{1, 2, 3, 4} is
A
15
B
14
C
16
D
17
Question 127Single Answer
The number of elements of the power set of a set containing m elements is
A
2m – 1
B
m
C
m2
D
2m
Question 128Single Answer
If A = {x : x = n2, n = 1, 2, 3}, then number of proper subsets is
A
3
B
8
C
7
D
None of these
Question 129Single Answer
If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is
A
16
B
15
C
4
D
None of these
Question 130Single Answer
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
A
A is always a subset of the complement of B
B
B is always a subset of A
C
A and B are always disjoint
D
A and the complement of B are always non-disjoint
Question 131Single Answer
Which of the following is/are empty set?
A = {x : x2 + x + 1 = 0 and x Î Z} B = {x : x is a prime number and 19 < x < 23}
A
A
B
B
C
Both A and B
D
None of the above
Question 132Single Answer
The set {x : x4 = 1 and x R} is .....X.... set. Here, X refers to
A
empty
B
finite
C
infinite
D
singleton
Question 133Single Answer
The universal set for the sets
A = {x : x2 – 5x + 6 = 0} and
B = {x : x2 – 3x + 2 = 0} having least number of elements is
A
{1, 2}
B
{1, 3}
C
{1, 2, 3}
D
{0, 1, 2, 3}
Question 134Single Answer
If A = {1, 2, 3}, B = {x € R : x2 – 2x + 1 = 0},
C = {1, 2, 2, 3} and
D = {x € R : x3 – 6x2 + 11x – 6 = 0}, then the equal sets are
A
A and B
B
A and C
C
A, B and C
D
A, C and D
Question 135Single Answer
If A = (–3, 5) and B = [–7, 9], then
A
A = B
B
A B
C
B A
D
None of these
Question 136Single Answer
Two finite sets have m and n elements, respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n respectively are
A
7, 6
B
5, 1
C
6, 3
D
8, 7
Question 137Single Answer
Combine terms: 12a + 26b - 4b – 16a .
A
4a + 22b
B
-28a + 30b
C
-4a + 22b
D
28a + 30b
Question 138Single Answer
The average of first 50 natural numbers is ………… .
A
25.30
B
25.5
C
25.00
D
12.25
Question 139Single Answer
60 Times of 8 Equals to
A
480
B
300
C
250
D
400
Question 140Single Answer
Consider the sets
A = {x : x is a real number and x2 + 1 = 0}
B = {x : x is a real number and x2 – 16 = 0}
C = {x : x is a real number and x2 = x + 2}
Which of the following is are null set ?
A
A
B
A and B
C
A and C
D
A, B and C
Question 141Single Answer
If X = {4n – 3n – 1: n Î N} and Y = {9(n – 1): n Î N}; where N is the set of natural numbers, then X È Y is equal to
A
N
B
Y – X
C
X
D
Y
Question 142Single Answer
Which of the following is / are correct?
I. {2, 3, 4} {1, 2, 3, 4, 5}
II. {a, b, c} {b, c, d}
III. {x : x is an equilateral triangle in a plane} Ì {x : x is a triangle in the same plane}
IV. {x : x is an even natural number} {x : x is an integer}
A
I and III are correct
B
II and III are correct
C
Only IV is correct
D
All above are correct
Question 143Single Answer
A
B
C
D
Question 144Single Answer
Consider the following statements :
1. The set of all irrational numbers between √2 and √5 is an infinite set .
2. The set of all odd integers less than 100 is a finite set .
Which of the statements given above is/are correct ?
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
Question 145Single Answer
What is the Next Prime Number after 7 ?
A
13
B
12
C
14
D
11
Question 146Single Answer
If A and B are two given sets, then A (A B)C is equal to
A
A
B
B
C
D
Question 147Single Answer
121 Divided by 11 is
A
11
B
10
C
19
D
18
Question 148Single Answer
Let X be the universal set for sets A and B, if n(A) = 200, n(B) = 300 and n = 100, then n is equal to 300 provided n(X) is equal to
A
600
B
700
C
800
D
900
Question 149Single Answer
A
{3, 4, 10}
B
{2, 8, 10}
C
{4, 5, 6}
D
{3, 5, 14}
Question 150Single Answer
Let A = {x : x is a prime factor of 240} B = {x : x is the sum of any two prime factors of 240}, then
A
B
C
D
Question 151Single Answer
If A = {x : x is a multiple of 4 and x N} and B = {x : x is a multiple of 6 and x N}, then A B consists of all multiples of
A
16
B
12
C
8
D
4
Question 152Single Answer
A
A = B
B
B = C
C
A = C
D
None of these
Question 153Single Answer
A
equal
B
disjoint
C
either equal or disjoint
D
none of the above
Question 154Single Answer
A
{–i, i}
B
{–1, 1}
C
{–1, 1, i, –i}
D
None of these
Question 155Single Answer
If A = {x : f(x)= 0} and
B = {x : g(x) = 0}, then A B will be
A
[f(x)]2 + [g(x)]2 = 0
B
C
D
None of the above
Question 156Single Answer
In a group of 400 people, 250 can speak Hindi and 200 can speak English. Then, people who can speak both Hindi and English are
A
60
B
80
C
50
D
45
Question 157Single Answer
20 teachers of a school either teach Mathematics or Physics. 12 of them teach Mathematics while 4 teach both the subjects. The number of teacher teaching Physics only, is
A
12
B
8
C
16
D
20
Question 158Single Answer
In a class of 100 students, 70 have taken Science, 60 have taken Mathematics, 40 have taken both Science and Mathematics. The number of students who have not taken Science or Mathematics or both Science and Mathematics, is equal to
A
90
B
10
C
30
D
20
Question 159Single Answer
A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like the product B, then least number that must have like both products, is
A
730
B
170
C
180
D
1270
Question 160Single Answer
If there are three athletic teams in a school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball and 8 play all the games. The total number of members is
A
42
B
43
C
45
D
None of these
Question 161Single Answer
A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, then number of men who received meal in exactly two of the three sports is
A
18
B
15
C
9
D
24
Question 162Single Answer
In the class of 175 students, the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Then, number of students opted Mathematics alone is
A
35
B
48
C
60
D
20
Question 163Single Answer
In a town of 10000 families it was found that 40% family buy newspaper A, 20% family buy newspaper B and 10% family buy newspaper C, 5% families buy and B, 3% families buy B and C and 4% families buy A and C. If 2% families buy all the three newspapers. Then, number of families which by A only is
A
3100
B
3300
C
2900
D
1400
Question 164Single Answer
In a city, 20% of the population travles by car, 50% travles by bus and 10% travles by both car and bus. Then, person travelling by car or bus, is
A
80%
B
40%
C
60%
D
70%
Question 165Single Answer
Universal set,
U = {x | x5 – 6x4 + 11x3 – 6 x 2 = 0}
A = {x | x2 – 5x + 6 = 0}
B = {x | x2 – 3x + 2 = 0}
What is the value of (A B)?
A
{1, 3}
B
{1, 2, 3}
C
{0, 1, 3}
D
{0, 1, 2, 3}
Question 166Single Answer
A
B
C
D
Question 167Single Answer
If P(A) denotes the power set of A and A is the void set, then what is the number of elements in P{P{P{P(A)}}}?
A
Zero
B
1
C
4
D
16
Question 168Single Answer
If A = {1, 2, 3, 4, 5}, b = {x : x2 – 5x + 6 = 0} and C = {x : x2 = 4 or x = 1}, then
A
B
C
Both (a) and (b)
D
None of the above
Question 169Single Answer
In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak atleast one of two languages. The number of people who speak 'English', 'English but not Hindi' are respectively
A
40, 15
B
15, 40
C
35, 15
D
25, 15
Question 170Single Answer
If P = {1, 2}, then P × P × P = {(1, 1, 1), (1, 1, 2), (1, 2, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}. The ordered triplet missing in P × P × P are
A
(1, 2), (2, 1)
B
(1, 2, 1), (2, 1, 1)
C
(1, 2, 2), (2, 1, 2)
D
(1, 2, 2), (2, 1, 1)
Question 171Single Answer
If A = {1, 2, 3, 4} and B = {5, 7, 9} then
A
A × B = B × A
B
n(A × B) =n(B × A)
C
Both (a) and (b)
D
None of the above
Question 172Single Answer
Let A and B are two sets having 3 elements in common. If n(A) = 5 and n(B) = 4, then n[(A × B) (B × A)] is equal to
A
20
B
25
C
16
D
9
Question 173Single Answer
If n(A) = 3, n(B) = 4 then, n(A × A × B) is equal to
A
36
B
12
C
108
D
None of these
Question 174Single Answer
If A = {1, 2, 3}, B = {3, 8}, then (A B) × (A B) is equal to
A
{(8, 3), (8, 2), (8, 1), (8, 8)}
B
{(1, 2), (2, 2), (3, 3), (8, 8)}
C
{(3, 1), (3, 2), (3, 3), (3, 8)}
D
{(1, 3), (2, 3), (3, 3), (8, 3)}
Question 175Single Answer
The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0, 1). Then, the remaining elements of A × A are
B and A
B, then
R} is .....X.... set. Here, X refers to
B 
A
(A 
= 100, then n
is equal to 300 provided n(X) is equal to
N} and B = {x : x is a multiple of 6 and x 
N}, then A 
B consists of all multiples of
B will be
B)?
(B × A)] is equal to
B) × (A 
B) is equal to