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UPESEAT Exam - English

Duration: 120 ยท Questions: 125 ยท Max Marks: 125 ยท Language: 3

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Mathematics

1
The elements of the set {x : x is an integer, x2 : 4} can be represent as .....Z..... . Here, Z refers to
  1. A.{–2, 2} 
  2. B.{–1, 0, 1}
  3. C.{–2, –1, 0, 1, 2}
  4. D.{0, 1, 2}
2
  1. D.None of these
3
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
  1. A.{2}
  2. B.{1, 2}  
  3. C.{1, 2, 22, ....., 2p – 1}
  4. D.{1, 2, 22, 23,.... 2p – 1, (2p – 1)}
4
The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is
  1. A.{1, 2, 3, 4, 5}
  2. B.{1, 2, 3, 4, 5, 6}  
  3. C.{2, 4, 6}
  4. D.{1, 3, 5}
5
If A B and A B, then
  1. A.A is called a proper subset of B
  2. B.A is called a super set of B
  3. C.A is not a subset of B 
  4. D.B is a subset of A
6
The number of non-empty subsets of the set{1, 2, 3, 4} is
  1. A.15
  2. B.14
  3. C.16
  4. D.17
7
The number of elements of the power set of a set containing m elements is
  1. A.2m – 1
  2. B.m 
  3. C.m2
  4. D.2m
8
If A = {x : x = n2, n = 1, 2, 3}, then number of proper subsets is
  1. A.3
  2. B.8
  3. C.7
  4. D.None of these
9
If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is
  1. A.16
  2. B.15  
  3. C.4 
  4. D.None of these 
10
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
  1. A.A is always a subset of the complement of B
  2. B.B is always a subset of A  
  3. C.A and B are always disjoint
  4. D.A and the complement of B are always non-disjoint  
11
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}
  1. A.A
  2. B.B  
  3. C.Both A and B
  4. D.None of the above 
12
The set {x : x4 = 1 and x R} is .....X.... set. Here, X refers to
  1. A.empty
  2. B.finite
  3. C.infinite
  4. D.singleton 
13
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
  1. A.{1, 2}
  2. B.{1, 3}
  3. C.{1, 2, 3}
  4. D.{0, 1, 2, 3}
14
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
  1. A.A and B
  2. B.A and C  
  3. C.A, B and C 
  4. D.A, C and D
15
If A = (–3, 5) and  B = [–7, 9], then
  1. A.A = B
  2. B.A B 
  3. C.B A
  4. D.None of these 
16
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
  1. A.7, 6
  2. B.5, 1
  3. C.6, 3
  4. D.8, 7
17
Combine terms: 12a + 26b  - 4b – 16a .
  1. A.4a + 22b
  2. B.-28a + 30b
  3. C.-4a + 22b
  4. D.28a + 30b
18
The average of first 50 natural numbers is ………… .
  1. A.25.30
  2. B.25.5
  3. C.25.00
  4. D.12.25
19
60 Times of 8 Equals to
  1. A.480
  2. B.300
  3. C.250
  4. D.400
20
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 ?
  1. A.A
  2. B.A and B
  3. C.A and C
  4. D.A, B and C
21
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
  1. A.N
  2. B.Y – X
  3. C.X
  4. D.Y
22
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}
  1. A.I and III are correct
  2. B.II and III are correct  
  3. C.Only IV is correct 
  4. D.All above are correct 
23
    24
    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 ?
    1. A.1 only
    2. B.2 only
    3. C.Both 1 and 2
    4. D.Neither 1 nor 2
    25
    What is the Next Prime Number after 7 ?
    1. A.13
    2. B.12
    3. C.14
    4. D.11
    26
    If A and B are two given sets, then A (A B)C is equal to
    1. A.A
    2. B.B
    27
    121 Divided by 11 is
    1. A.11
    2. B.10
    3. C.19
    4. D.18
    28
    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
    1. A.600
    2. B.700
    3. C.800
    4. D.900
    29
    1. A.{3, 4, 10}
    2. B.{2, 8, 10}
    3. C.{4, 5, 6}
    4. D.{3, 5, 14}
    30
    Let A = {x : x is a prime factor of 240} B = {x : x is the sum of any two prime factors of 240}, then
      31
      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
      1. A.16
      2. B.12
      3. C.8
      4. D.4
      32
      1. A.A = B
      2. B.B = C
      3. C.A = C 
      4. D.None of these
      33
      1. A.equal
      2. B.disjoint
      3. C.either equal or disjoint
      4. D.none of the above
      34
      1. A.{–i, i}
      2. B.{–1, 1}
      3. C.{–1, 1, i, –i}
      4. D.None of these
      35
      If A = {x : f(x)= 0} and 
      B = {x : g(x) = 0}, then A B will be
      1. A.[f(x)]2 + [g(x)]2 = 0
      2. D.None of the above 

      Physics

      1
      Temperature can be expressed as derived quantity in terms of
      1. A.length and mass
      2. B.mass and time
      3. C.length, mass and time
      4. D.None of these
      2
      Electron volt is a unit of
      1. A.potential difference
      2. B.charge
      3. C.energy
      4. D.capacity
      3
      Dimensions of impulse are
      1. A.[MLT –1]
      2. B.[MLT²]
      3. C.[MT–2]
      4. D.[ML–1T–3]
      4
      Potential is measured in
      1. A.joule/coulomb
      2. B.watt/coulomb
      3. C.newton–second
      4. D.None of these
      5
      One Nanometer is equal to
      1. A.10–9m
      2. B.10–6m
      3. C.10–10m
      4. D.10–3m
      6
      Maxwell is the unit of
      1. A.magnetic susceptibility
      2. B.intensity of Magnetisation
      3. C.magnetic Flux
      4. D.magnetic Permeability
      7
      Which of the following is derived physical quantity ?
      1. A.Mass
      2. B.Velocity
      3. C.Length
      4. D.Time
      8
      What are the units of magnetic permeability ?
      1. A.Wb A–1 m–1
      2. B.Wb–1 Am
      3. C.Wb A m–1
      4. D.Wb A–1 m
      9
      The dimensions of pressure gradient are
      1. A.[ML–2 T–2]
      2. B.[ML–2 T–1]
      3. C.[ML–1 T–1]
      4. D.[ML–1 T–2]
      10
      The dimensions of Rydberg's constant are
      1. A.[M0L–1T]
      2. B.[MLT–1]
      3. C.[M0 L–1T0]
      4. D.[ML0 T2]
      11
      'Farad' is the unit of
      1. A.resistance
      2. B.conductance
      3. C.capacitance
      4. D.inductance
      12
      S.I. unit of surface tension is
      1. A.degree/cm
      2. B.N/m
      3. C.N/m²
      4. D.Nm
      13
      Which one of the following pairs does not have the same dimension ?
      1. A.Potential energy and Kinetic energy
      2. B.Density and specific gravity
      3. C.Focal length and height
      4. D.Gravitational force and frictional force
      14
      Which one of the following physical quantity has the same unit as that of pressure ?
      1. A.Angular momentum
      2. B.Stress
      3. C.Strain
      4. D.Work
      15
      The symbol of SI unit of inductance is H. It stands for
      1. A.Holm
      2. B.Halogen
      3. C.Henry
      4. D.Hertz
      16
      Light year is a measure of
      1. A.time
      2. B.distance
      3. C.total amount of light falling on the Earth in a year
      4. D.average intensity of light falling on the Earth in a year
      17
      Which one of the following is not a dimension less quantity ?
      1. A.Strain
      2. B.Relative density
      3. C.Frequency
      4. D.Angle
      18
      The dimensions of universal gas constant are
      1. A.[L² M¹ T–2 K–1]
      2. B.[L¹ M² T–2 K–1]
      3. C.[L¹ M¹ T–2 K–1]
      4. D.[L² M² T–2 K–1]
      19
      The dimensions of magnetic moment are
      1. A.[L²A¹]
      2. B.[L²A–1]
      3. C.[L²/A³]
      4. D.[LA²]
      20
      The dimensions of Wien's constant are
      1. A.[ML0TK]
      2. B.[M0LT0K]
      3. C.[M0L0TK]
      4. D.[MLTK]
      21
      The dimensional formula of wave number is
      1. A.[M0L0T–1]
      2. B.[M0L–1T0]
      3. C.[M–1 L–1 T0]
      4. D.[M0 L0 T0]
      22
      The dimensional of Hubble ‘s wave number is
      1. A.[T–1]
      2. B.[M0L0T–2]
      3. C.[MLT4]
      4. D.[MT–1]
      23
      The dimensions of solar constant is
      1. A.[M0L0T0]
      2. B.[MLT–2]
      3. C.[ML²T–2]
      4. D.MT–3
      24
      The dimensional formula for entropy is
      1. A.[MLT–2K¹]
      2. B.[ML2 T-2]
      3. C.[ML²T–2K–1]
      4. D.[ML²T–2K]
      25
      Dimension of specific heat are
      1. A.[ML² T–2 K]
      2. B.[ML² T–2 K–1]
      3. C.[ML²T²K–1]
      4. D.[L²T–2K–2]
      26
      The physical quantity which has the dimensional formula [M¹T–3] is
      1. A.surface tension
      2. B.solar constant
      3. C.density
      4. D.compressibility
      27
      Which one of the following elements is used as a timekeeper in atomic clocks ?
      1. A.Potassium
      2. B.Caesium
      3. C.Calcium
      4. D.Magnesium
      28
      Which one of the following is the value of one nanometer ?
      1. A.10–7 cm
      2. B.10–6 cm
      3. C.10–4 cm
      4. D.10–3 cm
      29
      What is the unit of pressure ?
      1. A.Newton/sq. meter
      2. B.Newton–meter
      3. C.Newton
      4. D.Newton/meter
      30
      The unit of pressure is
      1. A.kg/cm²
      2. B.kg/cm
      3. C.kg/mm
      4. D.kg/cm3
      31
      Which one of the following quantities doe not have unit ?
      1. A.Stress
      2. B.Force
      3. C.Strain
      4. D.Pressure
      32
      Dimensional formula for thermal conductivity is here K denotes the temperature:
      1. A.MLT–2K
      2. B.MLT–2K–2
      3. C.MLT–3K
      4. D.MLT–3K–1
      33
      Which of the following is the unit of molar gas constant ?
      1. A.JK–1 mol–1
      2. B.Joule
      3. C.JK–1
      4. D.J mol–1
      34
      Density of liquid is 16.8 g cm–3. Its value in the International System of Units is
      1. A.16.8 kgm–3
      2. B.168 kgm–3
      3. C.1680 kgm–3
      4. D.16800 kgm–3
      35
      The dimensional formula of couple is
      1. A.[ML² T–2]
      2. B.[MLT²]
      3. C.[ML–1T–3]
      4. D.[ML–2T–2]

      Chemistry

      1
      Which of the following is not a synthetic fibre:
      1. A.Anygora
      2. B.Rayon
      3. C.Nylon
      4. D.Polyster
      2
      Which one of the following is not contained in Portland cement ?
      1. A.Ca3Al2O6
      2. B.Ca3SiO5
      3. C.Ca2Si­O4
      4. D.Ca3(PO4)2
      3
      What is the reson for white cement to be white ?
      1. A.It does not contain carbon
      2. B.It does not contain silicon
      3. C.It does not contain iron
      4. D.It does not contain calcium
      4
      Which fertilizer is assimilated directly by the plant ?
      1. A.Super phosphate
      2. B.Nitrolim
      3. C.Muriate of Potash
      4. D.Humus
      5
      Which of the following chemicals is used in foam fire extinguishers ?
      1. A.Aluminium sulphate
      2. B.Copper sulphate
      3. C.Cobalt sulphate
      4. D.Nickel sulphate 
      6
      What is a mixture of potassium nitrate, powdered charcoal and sulphur called ?
      1. A.Glass
      2. B.Cement
      3. C.paint
      4. D.Gun powder
      7
      Which one of the following chemicals is used in beauty parlours for hair – setting ?
      1. A.Sulphur based
      2. B.Phosphorus based
      3. C.Silicon based
      4. D.Iron based 
      8
      Which one of the following is used as a mordant in dyeing and tanning industry ?
      1. A.Magnesium oxide
      2. B.Magnesium carbonate
      3. C.Magnesium chloride
      4. D.Magnesium sulphate
      9
      Which one of the following substances is used in the manufacture of safety matches ?
      1. A.Red phosphorus
      2. B.White phosphorus
      3. C.Phosphorus trioxide (P2O3)
      4. D.Black phosphorus
      10
      Which one of the following polymeric materials is used for making bullet proof jacket ?
      1. A.Nylon –6, 6
      2. B.Rayon
      3. C.Kevlar
      4. D.Dacron
      11
      Which one of the following is another name of RDX
      1. A.Cyanohydrin
      2. B.Dextran
      3. C.Cyclohexane
      4. D.Cyclonite
      12
      Which one of the following is used as an explosive ?
      1. A.Phosphorus trichloride
      2. B.Mercuric oxide
      3. C.Graphite
      4. D.Nitroglycerine
      13
      Flint glass is obtained from which of the following ?
      1. A.Zinc and barium borosilicate
      2. B.Sand, red lead and potassium carbonate
      3. C.Sodium aluminium borosilicate
      4. D.Pure silica and zinc oxide
      14
      Which one of the following correctly defines the state of glass ?
      1. A.Crystalline solid
      2. B.Super cooled liquid
      3. C.Condensed gas
      4. D.Liquid crystal
      15
      Which one of the following is not used as fertilizer ?
      1. A.Ammonium nitrate
      2. B.Ammonium sulphide
      3. C.Ammonium phosphate
      4. D.Ammonium sulphate   
      16
      Which one of the following elements is needed in the human body to transfer electrical signals by nerve cells ?
      1. A.Lithium
      2. B.Sodium
      3. C.Rubidium
      4. D.Caesium
      17
      Which one of the following is NOT true for bleaching powder ?
      1. A.It is used as a reducing agent in chemical industries
      2. B.It is used for bleaching wood pup in paper factories
      3. C.It is used for disinfecting drinking water
      4. D.It is used for bleaching linen in textile industry
      18
      Hard glass having the same ingredientsas soft glass excepts.
      1. A.hard glass have Na in place of K
      2. B.hard glass having K in place of Na
      3. C.hard glass having both Na and K
      4. D.None of the above
      19
      A complete fertilizer provides
      1. A.N,P, K
      2. B.S, K, N
      3. C.S, B, K
      4. D.N, S, P
      20
      Antacids are commonly used to get rid of acidity in the Stomach. A commonly used antacid is.
      1. A.sodium hydrogen phthalate
      2. B.magnesium hydroxide  
      3. C.calcium hydroxide
      4. D.manganese acetate
      21
      Annealing of glass is done to.
      1. A.make it brittle
      2. B.make it opaque
      3. C.make it transparent
      4. D.None of the above
      22
      Petrochemicals are obtained from.
      1. A.coal
      2. B.petroleum
      3. C.coal tar
      4. D.All of these
      23
      The use of chemicals for treatment of diseases is called as.
      1. A.isothermotherapy
      2. B.angiotherapy
      3. C.physiotherapy
      4. D.chemotherapy
      24
      Which of the following is a hypnotic drug ?
      1. A.luminal
      2. B.salol
      3. C.catechol
      4. D.chemisol
      25
      Teflon is a polymer of which of the following monomers ?
      1. A.Tetrafluoroethylene
      2. B.Vinyl chloride
      3. C.Acetylene dichloride  
      4. D.None of the above/More than one of the above
      26
      LPG used as domestic fuel chiefly contains–
      1. A.Methane
      2. B.Propane
      3. C.Ethylene
      4. D.Butane
      5. E.None of the above/More than one of the above     
      27
      Glass is a.
      1. A.liquid
      2. B.colloid
      3. C.non–crystalline amorphous solid
      4. D.crystalline solid
      28
      Which one of the following acids is used for etching glass ?
      1. A.H2SO4
      2. B.HNO3
      3. C.HF
      4. D.HCI
      29
      What is the purpose of adding plasticizers in paint manufacturing process ?
      1. A.They act as a film–forming constituent
      2. B.They reduce the viscosity
      3. C.They prevent the polymerization and condensation
      4. D.They provide elasticity to the film and minimize its cracking
      30
      Which raw material is used in the preperation of soft glass ?
      1. A.K2CO3, SiO2, CaCO3
      2. B.K2CO3, SiO2, PbCO3
      3. C.Na2CO3, SiO2, CaCO3
      4. D.Na2CO3, SiO2, PbO
      31
      What is the composition of nitrolim – a chemical fertilizer ?
      1. A.Nitrogen and limestone
      2. B.Calcium carbide and nitrogen
      3. C.Calcium carbide and carbon
      4. D.None of above
      32
      the major component used in preparation of different type of glasses is.
      1. A.Silica
      2. B.Sodium borate
      3. C.Calcium silicate
      4. D.Sodium silicate
      33
      Salts of which of the following elements provide colours to fireworks ?
      1. A.Zinc and sulphur
      2. B.Potassium and mercury
      3. C.Strontium and barium
      4. D.Chromium and nickel
      34
      Given below are two statements :
      Statement I : Phenyl is used as a household germicide.
      Statement II : Phenyl is phenol derivative and phenol is an effective germicide.
      In the light of the above statement, choose the correct answer from the options given below:
      1. A.Both Statement I and II are correct and Statement II is the correct explanation of Statement I
      2. B.Both Statement I and Statement II are true but Statement II is NOT the correct explanation of Statement I
      3. C.Statement I is correct, but Statement II is incorrect
      4. D.Statement I is incorrect, but Statement II is correct
      35
      Given below are two statements :
      Statement I : Coal–based thermal power stations contribute to acid–rain.
      Statement II : Oxides of carbon are emitted when coal burns.
      In the light of the above statement, choose the correct answer from the options given below:
      1. A.Both Statement I and II are individually correct and Statement II is the correct explanation of Statement I
      2. B.Both Statement I and Statement II are individiaully correct but Statement II is not the correct explanation of Statement I
      3. C.Statement I is correct, but Statement II is incorrect
      4. D.Statement I is incorrect, but Statement II is correct

      General English Comprehension

      1
      I go to Madurai by —– Vaigai Express
      1. A.a
      2. B.an
      3. C.some
      4. D.the
      2
      Have the car stolen!
      1. A.Steal the car
      2. B.You should have the stolen car
      3. C.Get someone to steal the car
      4. D.They have stolen the car
      3
      The payment was collected by the hardworking salesman.
      1. A.The hardworking salesman collected the payment.
      2. B.the salesman who worked heard was able to collect the payment.
      3. C.to collect the payment the salesman had to work hard.
      4. D.The hardworking salesman was able to collect the payment.
      4
      I had to stop all my work to complete this project.
      1. A.All other work had to be stopped to complete this project by me
      2. B.For completing this project all other work must be stopped
      3. C.For completing this project I had to stop all my work
      4. D.To complete this project all other work had been stopped by me
      5
      They have published the names of all the successful candidates.
      1. A.The candidates who have succeeded their names they had published.
      2. B.The names of all the successful candidates have been published by them
      3. C.The candidates who have succeeded their names have been published by them.
      4. D.The names of all the successful candidate were published by them. 
      6
      The online shopping site lowered the prices.
      1. A.Lowering of the prices was done by the online shopping site
      2. B.The prices were lowered by the online shopping site
      3. C.The prices had been lowered by the online shopping site
      4. D.The prices have been lowered by the online shopping site
      7
      Who taught you to drive a truck ?
      1. A.To drive a truck by whom were you taught?
      2. B.Driving a truck by who were you taught?
      3. C.Driving a truck by who were you being taught?
      4. D.By whom were you taught to drive a truck?
      8
      We shall invite Suresh.
      1. A.Suresh would be invited by us
      2. B.Suresh would have been invited by us
      3. C.Suresh will be invited by us
      4. D.Suresh will have been invited by us
      9
      Dark clouds have overcast the evening sky.
      1. A.By the dark clouds the evening sky was overcast.
      2. B.The evening sky has been overcast by the dark clouds.
      3. C.Dark clouds overcastted the evening sky.
      4. D.The sky of the evening was overcasted by dark clouds.
      10
      The partners will celebrate their triumph tomorrow. 
      1. A.The triumph would be celebrated by the partners a day before
      2. B.The triumph would be celebrated by the partners a day after
      3. C.The triumph would have been celebrated by the partners a day after
      4. D.The triumph will have been celebrated by the partners tomorrow
      11
      The Finance Department has ……………a centralized online databank system for all statutory government bodies to …………an eye on their assets and liabilities.
      1. A. presented , stay
      2. B.introduced , keep
      3. C.announce , make
      4. D.created , let
      5. E.proclaimed , hold
      12
      Assets
      1. A.liabilities
      2. B.responsibilities
      3. C.estates
      4. D.profits
      13
      Affidavit
      1. A. Affirmation
      2. B.Slander
      3. C.Oath
      4. D.Testimony
      14
      Hollow
      1. A.Alveolate
      2. B.Cleft
      3. C. Cavernous
      4. D.Solid
      15
      Cosset 
      1. A.Ignoreb
      2. B.Close
      3. C.Caress
      4. D.Fondle
      16
      Ogle
      1. A.Leer
      2. B.Gaze
      3. C.Ignore
      4. D.Gawk
      17
      Intrinsic
      1. A.Elemental
      2. B.Innate
      3. C.Connate
      4. D.Acquired
      18
      Coalesce
      1. A.Separate
      2. B.Adhere
      3. C.Cleave
      4. D.Amalgamate
      19
      Loiter
      1. A.lag 
      2. B.Hasten
      3. C.Amble
      4. D.Loii
      20
      The protests were......... at ......... awareness among the elite and the educated.
      1. A.held, generating
      2. B.aimed, creating
      3. C.targeted, awakening
      4. D.focused, building
      5. E.concentrated, producing