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AEEE Exam - English

Duration: 150 Β· Questions: 100 Β· Max Marks: 100 Β· Language: 1

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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 Γ’β€žΒ¦, 2 Γ’β€žΒ¦, 3Γ’β€žΒ¦ resistor a 3 V battery is connected. The current through 3 Γ’β€žΒ¦ resistor is -
  1. A.0.75 A     
  2. B.1 A
  3. C.2 A         
  4. D.1.5 A
6
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
7
Electron volt is a unit of
  1. A.potential difference
  2. B.charge
  3. C.energy
  4. D.capacity
8
Dimensions of impulse are
  1. A.[MLT –1]
  2. B.[MLT²]
  3. C.[MT–2]
  4. D.[ML–1T–3]
9
Potential is measured in
  1. A.joule/coulomb
  2. B.watt/coulomb
  3. C.newton–second
  4. D.None of these
10
One Nanometer is equal to
  1. A.10–9m
  2. B.10–6m
  3. C.10–10m
  4. D.10–3m
11
Maxwell is the unit of
  1. A.magnetic susceptibility
  2. B.intensity of Magnetisation
  3. C.magnetic Flux
  4. D.magnetic Permeability
12
Which of the following is derived physical quantity ?
  1. A.Mass
  2. B.Velocity
  3. C.Length
  4. D.Time
13
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
14
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]
15
The dimensions of Rydberg's constant are
  1. A.[M0L–1T]
  2. B.[MLT–1]
  3. C.[M0 L–1T0]
  4. D.[ML0 T2]
16
'Farad' is the unit of
  1. A.resistance
  2. B.conductance
  3. C.capacitance
  4. D.inductance
17
S.I. unit of surface tension is
  1. A.degree/cm
  2. B.N/m
  3. C.N/m²
  4. D.Nm
18
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
19
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
20
The symbol of SI unit of inductance is H. It stands for
  1. A.Holm
  2. B.Halogen
  3. C.Henry
  4. D.Hertz
21
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
22
Which one of the following is not a dimension less quantity ?
  1. A.Strain
  2. B.Relative density
  3. C.Frequency
  4. D.Angle
23
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]
24
The dimensions of magnetic moment are
  1. A.[L²A¹]
  2. B.[L²A–1]
  3. C.[L²/A³]
  4. D.[LA²]
25
The dimensions of Wien's constant are
  1. A.[ML0TK]
  2. B.[M0LT0K]
  3. C.[M0L0TK]
  4. D.[MLTK]

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
Which of the following is not a synthetic fibre:
  1. A.Anygora
  2. B.Rayon
  3. C.Nylon
  4. D.Polyster
7
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
8
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
9
Which fertilizer is assimilated directly by the plant ?
  1. A.Super phosphate
  2. B.Nitrolim
  3. C.Muriate of Potash
  4. D.Humus
10
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 
11
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
12
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 
13
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
14
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
15
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
16
Which one of the following is another name of RDX
  1. A.Cyanohydrin
  2. B.Dextran
  3. C.Cyclohexane
  4. D.Cyclonite
17
Which one of the following is used as an explosive ?
  1. A.Phosphorus trichloride
  2. B.Mercuric oxide
  3. C.Graphite
  4. D.Nitroglycerine
18
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
19
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
20
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   

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 Γ’€‹ 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  ?Ò€‹
    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

    English

    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 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
    4
    Assets
    1. A.liabilities
    2. B.responsibilities
    3. C.estates
    4. D.profits
    5
    Affidavit
    1. A. Affirmation
    2. B.Slander
    3. C.Oath
    4. D.Testimony

    Quantitative Aptitude

    1
    The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________ ?
    1. A.51:52
    2. B.52:53
    3. C.51:53
    4. D.52:55
    2
    Which of the following numbers is irrational ?
    1. A.√49
    2. B.0.125
    3. C.√2
    4. D.22/7
    3
    356 x 936 – 356 x 836 = ?
    1. A.35600  
    2. B.34500
    3. C.9630
    4. D.93600
    4
    Arrange in descending order: 5/8, 7/10, 3/4
    1. A.3/4 > 7/10 > 5/8
    2. B.7/10 > 3/4 > 5/8
    3. C.3/4 > 5/8 > 7/10
    4. D.5/8 > 7/10 > 3/4
    5
    What is (3^{4} times 9^{2}) ?
    1. A.36
    2. B.38
    3. C.310
    4. D.96
       
    6
    If 34X-2 = 729, then find the value of X.
    1. A.4     
    2. B.3
    3. C.2 
    4. D.5
    7
    Convert 0.6 into fraction ?
    1. A.3/5
    2. B.2/3
    3. C.4/5
    8
    The no. plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate numbers were reversed. The bus company had only five hundred buses numbered from 1 to 500. What was the number ?
    1. A.169  
    2. B.36
    3. C.196 
    4. D.Can not say
    9
    If a and b are positive integers, such that ab = 125, then (a-b)a+b-4 = ?
    1. A.16   
    2. B.25
    3. C.28  
    4. D.30
    10
    If x*y = x2 + y2 – xy, then value of 9*11 is
    1. A.93     
    2. B.103
    3. C.60.5
    4. D.121