Download AppGovt. JobsFree G.K. & Current AffairsScholarshipBlog
Free PracticeContact
📚 Exam by Category
▾
📰 FREE Current Affairs, GK & Quiz
📅 Upcoming Exams
🏦 Bank Exams 2026
🚆 Railway Exams
📍 State wise jobs
🎓 Teaching Exams
🏛 NTA UGC NET Exams
🔬 Medical Exams
⚙ Engineering Exams
📋 SSC Exams 2026
🛡 Police Exams
📚 State Wise General Knowledge
📰 States Current Affairs
🌾 ICAR AIEEA 2026
📝 SET Exams
🛠 Trade Apprentice Exams
⚕ Nursing Exams & Staff Nurse Vacancy
🛡 Defence Exams
🔧 ESE Exams 2026
🔬 CSIR UGC NET Exams
⚖ Law and Bare Acts
🔬 IIT JAM 2027
🚂 GATE 2027 Exams
💊 Pharmacy and Paramedicals Exams
🐾 Veterinary Sciences Exams
🏛 UPSC & State PSC Exams
⚖ Law and Judiciary Exam
🏢 Insurance Exams
Question Bank

AP POLYCET Exam - English

Duration: 120 · Questions: 120 · Max Marks: 120 · Language: 3

View AP POLYCET 2026 Exam Page

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
    In a college  part girls and â€‹ part boys attended a social camp. How many parts in the collegs students attended the camp ?
    1. E.None of the above
    27
    The sum of two number is 16 and their difference is 2. What is the product to both numbers ?
    1. A.35
    2. B.56
    3. C.56
    4. D.72
    5. E.
      ​
    28
    What are the positive factors of 160 .
    1. A.6
    2. B.8
    3. C.5
    4. D.12
    29
    What is the value of (51 + 52 + 53 ........100) ?
    1. A.1325
    2. B.5050
    3. C.3775
    4. D.3325
    30
    What is the sum of all natural numbers that come in the between 1 to 100, which a multiple of 7 ?
    1. A.735
    2. B.745
    3. C.675
    4. D.705
    31
    What is the unit digit of 279 + 167 × 342 ?
    1. A.1
    2. B.3
    3. C.5
    4. D.8
    32
    Which of the given values is completely divisible by 15 ?
    1. A.2365
    2. B.1375
    3. C.4365
    4. D.2275
    33
    For which value of M, the divisor 34M fully divisible by 12 ?
    1. A.2
    2. B.0
    3. C.8
    4. D.6
    34
    If 432p1 is completely divisiable 34M fully divisiable by 12 ?
    1. A.1
    2. B.8
    3. C.7
    4. D.2
    35
    Which is the smallest number to be added to 100, so that the resulting number is completely divisible by 6 ?
    1. A.2
    2. B.3
    3. C.5
    4. D.4
    36
    When a number is divided by 80, the remainded is 20. When the same number is divided by 16, what will be the remainder ?
    1. A.2
    2. B.4
    3. C.6
    4. D.8
    37
    Which of the fractions is the largest among   and  ?​
    1. D.All are equal
    38
    What is the two digits largest prime number ?
    1. A.91
    2. B.93
    3. C.97
    4. D.99
    39
    What is the sum of first 15 odd natural numbers ?
    1. A.255
    2. B.225
    3. C.235
    4. D.215
    40
    What will be the sum of all natural numbers from 75 to 97 ?
    1. A.1598
    2. B.1978
    3. C.1798
    4. D.1958
    41
    If the quotient  of is positive, which of the following would be true ?
    1. A.a > 0
    2. B.b > 0
    3. C.ab > 0
    4. D.a + b > 0
    42
    If the last two digits of a three-digit number is multiple of 6, then the original integer will always be divisible by ?
    1. A.6
    2. B.3
    3. C.2
    4. D.12
    43
    Find three consecutive numbers, in which sum of the two times of the first, three of second and four time of the third number os 191 ?
    1. A.19, 20, 21
    2. B.21, 22, 23
    3. C.20, 21, 22
    4. D.22, 23, 24
    44
    An office has 108 table and 132 chairs. If  tables and  of the chairs are broken, then how many people can work in the office, if required 1 table and 1 chair ?
    1. A.86
    2. B.90
    3. C.90
    4. D.99
    45
    If the sum of two numbers is a and the product is b, then what will be the sum of their reciprocal ?
      46
      The sum of all prime numbers not greater than 17 is ?
      1. A.59
      2. B.58
      3. C.41
      4. D.42
      47
      What is the decimal fraction of 2.349 ?
        48
        Which of the following number is divisible by 9 ?
        1. A.45699
        2. B.12381
        3. C.45696
        4. D.12348
        49
        The largest 4 - digit number is X, which is divisible by 18, 15 and 12 . Then the value of X will be ?
        1. A.9989
        2. B.9980
        3. C.9999
        4. D.9900
        50
        The sum of two numbers is 20 and the product is 91 . What should be the sum of their reciprocal ?

          Physics

          1
          In ruby laser, the stimulated emission is due to transition from
          1. A.metastable state to any lower state
          2. B.any higher state of lower state
          3. C.metastable state to ground state
          4. D.any higher state to ground state
          2
          A direct current I flows along the length of an infinitely long straight thin walled pipe, then the magnetic field is
          1. A.uniform throughout the pipe not zero
          2. B.zero only along the axis of the pipe
          3. C.zero at any point inside the pipe
          4. D.maximum at the centre and minimum at the edge
          3
          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
          1. A.0.45 m    
          2. B.0.15 m
          3. C.0.30 m       
          4. D.0.6 m
          4
          Two sources are said to be coherent if they produce waves
          1. A.having a constant phase difference
          2. B.of equal wavelength
          3. C.of equal speed
          4. D.having same shape of wavefront
          5
          Three resistors 1 Ω, 2 Ω, 3Ω resistor a 3 V battery is connected. The current through 3 Ω resistor is -
          1. A.0.75 A     
          2. B.1 A
          3. C.2 A         
          4. D.1.5 A
          6
          In a common emitter amplifier the input signal is applied across
          1. A.anywhere 
          2. B.emitter-collector
          3. C.collector-base
          4. D.base-emitter
          7
          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
          1. A.2 and 4
          2. B.1 only
          3. C.3 and 4
          4. D.4 only
          8
          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.
          1. A.S1,S2 and S4
          2. B.S2 and S4
          3. C.S4 only
          4. D.S3 only
          9
          Ferromagnetic materials used in a transformer must have
          1. A.low permeability and high hysterisis loss
          2. B.high permeability and low hysterisis loss
          3. C.high permeability and high hysterisis loss
          4. D.low permeability and low hysterisis loss
          10
          According to Newton’s corpuscular theory, the speed of light is
          1. A.same in all the medium
          2. B.lesser in rarer medium
          3. C.lesser in denser medium
          4. D.independent of the medium
          11
          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
          12
          Electron volt is a unit of
          1. A.potential difference
          2. B.charge
          3. C.energy
          4. D.capacity
          13
          Dimensions of impulse are
          1. A.[MLT –1]
          2. B.[MLT²]
          3. C.[MT–2]
          4. D.[ML–1T–3]
          14
          Potential is measured in
          1. A.joule/coulomb
          2. B.watt/coulomb
          3. C.newton–second
          4. D.None of these
          15
          One Nanometer is equal to
          1. A.10–9m
          2. B.10–6m
          3. C.10–10m
          4. D.10–3m
          16
          Maxwell is the unit of
          1. A.magnetic susceptibility
          2. B.intensity of Magnetisation
          3. C.magnetic Flux
          4. D.magnetic Permeability
          17
          Which of the following is derived physical quantity ?
          1. A.Mass
          2. B.Velocity
          3. C.Length
          4. D.Time
          18
          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
          19
          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]
          20
          The dimensions of Rydberg's constant are
          1. A.[M0L–1T]
          2. B.[MLT–1]
          3. C.[M0 L–1T0]
          4. D.[ML0 T2]
          21
          'Farad' is the unit of
          1. A.resistance
          2. B.conductance
          3. C.capacitance
          4. D.inductance
          22
          S.I. unit of surface tension is
          1. A.degree/cm
          2. B.N/m
          3. C.N/m²
          4. D.Nm
          23
          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
          24
          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
          25
          The symbol of SI unit of inductance is H. It stands for
          1. A.Holm
          2. B.Halogen
          3. C.Henry
          4. D.Hertz
          26
          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
          27
          Which one of the following is not a dimension less quantity ?
          1. A.Strain
          2. B.Relative density
          3. C.Frequency
          4. D.Angle
          28
          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]
          29
          The dimensions of magnetic moment are
          1. A.[L²A¹]
          2. B.[L²A–1]
          3. C.[L²/A³]
          4. D.[LA²]
          30
          The dimensions of Wien's constant are
          1. A.[ML0TK]
          2. B.[M0LT0K]
          3. C.[M0L0TK]
          4. D.[MLTK]
          31
          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]
          32
          The dimensional of Hubble ‘s wave number is
          1. A.[T–1]
          2. B.[M0L0T–2]
          3. C.[MLT4]
          4. D.[MT–1]
          33
          The dimensions of solar constant is
          1. A.[M0L0T0]
          2. B.[MLT–2]
          3. C.[ML²T–2]
          4. D.MT–3
          34
          The dimensional formula for entropy is
          1. A.[MLT–2K¹]
          2. B.[ML2 T-2]
          3. C.[ML²T–2K–1]
          4. D.[ML²T–2K]
          35
          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]
          36
          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
          37
          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
          38
          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
          39
          What is the unit of pressure ?
          1. A.Newton/sq. meter
          2. B.Newton–meter
          3. C.Newton
          4. D.Newton/meter
          40
          The unit of pressure is
          1. A.kg/cm²
          2. B.kg/cm
          3. C.kg/mm
          4. D.kg/cm3

          Chemistry

          1
          10-6 M NaOH is diluted 100 times. The pH of the diluted base is
          1. A.between 7 and 8
          2. B.between 5 and 6
          3. C.between 6 and 7
          4. D.between 10 and 11
          2
          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
          1. A.1.93 A         
          2. B.9.65 A
          3. C.19.3 A        
          4. D.0.965 A
          3
          The one which decreases with dilution is
          1. A.molar conductance
          2. B.conductance
          3. C.specific conductance
          4. D.equivalent conductance
          4
          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
          1. A.28 mm   
          2. B.56 mm
          3. C.70 mm    
          4. D.140 mm
          5
          A 6% solution of urea is isotonic with
          1. A.1 M solution of glucose
          2. B.0.05 M solution of glucose
          3. C.6% solution of glucose
          4. D.25% solution of glucose
          6
          In countries nearer to polar region, the roads are sprinkled with CaCl2. This is
          1. A.to minimise the wear and tear of the roads
          2. B.to minimise the snow fall
          3. C.to minimise pollution
          4. D.to minimise the accumulation of dust on the road
          7
          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
          1. A.AB2 
          2. B.A2B
          3. C.AB
          4. D.AB3
          8
          In electrophilic aromatic substitution reaction, the nitro group is meta directing because it
          1. A.decreases electron density at ortho and para positions
          2. B.decreases electron density at meta position
          3. C.increases electron  density at meta position
          4. D.increases electron density at ortho and para position
          9
          The best method for the conversion of an alcohol into an alkyl chloride is by treating the alcohol with
          1. A.PCI5
          2. B.PCI3
          3. C.SOCl2 in presence of pyridine
          4. D.dry HCl in the presence of anhydrous ZnCl2
          10
          The carbon bond length in benzene is
          1. A.in between C2H6 and C2H4
          2. B.same as in C2H4
          3. C.in between C2H6 and C2H2
          4. D.in between C2H4 and C2H2
          11
          Which of the following is not a synthetic fibre:
          1. A.Anygora
          2. B.Rayon
          3. C.Nylon
          4. D.Polyster
          12
          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
          13
          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
          14
          Which fertilizer is assimilated directly by the plant ?
          1. A.Super phosphate
          2. B.Nitrolim
          3. C.Muriate of Potash
          4. D.Humus
          15
          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 
          16
          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
          17
          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 
          18
          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
          19
          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
          20
          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
          21
          Which one of the following is another name of RDX
          1. A.Cyanohydrin
          2. B.Dextran
          3. C.Cyclohexane
          4. D.Cyclonite
          22
          Which one of the following is used as an explosive ?
          1. A.Phosphorus trichloride
          2. B.Mercuric oxide
          3. C.Graphite
          4. D.Nitroglycerine
          23
          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
          24
          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
          25
          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   
          26
          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
          27
          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
          28
          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
          29
          A complete fertilizer provides
          1. A.N,P, K
          2. B.S, K, N
          3. C.S, B, K
          4. D.N, S, P
          30
          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
          Question for AP POLYCET 2026 - Quiz / Questions / MCQ - Toppersexam