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Latest Indian Air Force Apprentice Exam Question (Objective Questions), MCQ in English

Subjects : English, Mathematics, Physics

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English

Question 1Single Answer
I go to Madurai by —– Vaigai Express
  1. A
    a
  2. B
    an
  3. C
    some
  4. D
    the
Question 2Single Answer
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
Question 3Single Answer
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.
Question 4Single Answer
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
Question 5Single Answer
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. 
Question 6Single Answer
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
Question 7Single Answer
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?
Question 8Single Answer
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
Question 9Single Answer
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.
Question 10Single Answer
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
Question 11Single Answer
Why did break the vase?
  1. A
    why is the vase broken by him
  2. B
    why was the vase broken by him
  3. C
    why had been the vase broken by him
  4. D
    why has been the vase broken by him
Question 12Single Answer
Mariam was writing a note to her boss.
  1. A
    A note was written to her boss by Mariam
  2. B
    A note was wrote by Mariam to her boss
  3. C
    A note was being written by Mariam to her boss
  4. D
    A note was written by Mariam to her boss
Question 13Single Answer
The baby really enjoys that music.
  1. A
    That music was really enjoyed by the baby.
  2. B
    That music was really being enjoyed by the baby.
  3. C
    That music is really enjoyed by the baby.
  4. D
    This music was really enjoyed by the baby.
Question 14Single Answer
The weather disrupted the final match.
  1. A
    The final match has been disrupted by the weather.
  2. B
    The final match had been disrupted by the weather.
  3. C
    The final match was disrupted by the weather. 
  4. D
    The final match was being disrupted by the weather.
Question 15Single Answer
The management committee is required to publish a report every year. 
  1. A
    report would be published by the management committee every year.
  2. B
    A report would have been published by the management committee every year.
  3. C
    A report requires to be published by the management committee every year.
  4. D
    Every year the report would be published by the management committee.
Question 16Single Answer
Preeti ran the race in record time.
  1. A
    In record time Preeti ran the race.
  2. B
     The race was run by Preeti in record time
  3. C
    The race was being run by Preeti in record time
  4. D
    The race had been run by Preeti in record time
Question 17Single Answer
I shall have written the full thesis by December
  1. A
    By December I shall have wrote the full thesis.
  2. B
    The full thesis will have been written by me by December.
  3. C
    The full Thesis will be wrote by me by December
  4. D
    By December the full thesis must have been wrote by me.
Question 18Single Answer
One must keep one’s promises.
  1. A
    One’s promises must be kept by one.
  2. B
    One’s promises had to be kept.
  3. C
    Promises must be kept.
  4. D
    Promises have to be kept by one.
Question 19Single Answer
I read the story in one night.
  1. A
    The story had been read by me in one night.
  2. B
    The story has been read by me in one night
  3. C
    n one night the story has been read by me.
  4. D
    the story was read by me in one night
Question 20Single Answer
We must take care of the old.
  1. A
    Those who are old need to be taken care of by us.
  2. B
    The old must be taken care of by us. 
  3. C
    Those who are old need care by us
  4. D
    The old should be taken care of by us.

Mathematics

Question 21Single Answer
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}
Question 22Single Answer
 
  1. A
  2. B
  3. C
  4. D
    None of these
Question 23Single 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
  1. A
    {2}
  2. B
    {1, 2}  
  3. C
    {1, 2, 22, ....., 2p – 1}
  4. D
    {1, 2, 22, 23,.... 2p – 1, (2p – 1)}
Question 24Single Answer
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}
Question 25Single Answer
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
Question 26Single Answer
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
Question 27Single Answer
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
Question 28Single Answer
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
Question 29Single Answer
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 
Question 30Single Answer
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  
Question 31Single 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}
  1. A
    A
  2. B
    B  
  3. C
    Both A and B
  4. D
    None of the above 
Question 32Single Answer
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 
Question 33Single 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
  1. A
    {1, 2}
  2. B
    {1, 3}
  3. C
    {1, 2, 3}
  4. D
    {0, 1, 2, 3}
Question 34Single 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
  1. A
    A and B
  2. B
    A and C  
  3. C
    A, B and C 
  4. D
    A, C and D
Question 35Single Answer
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 
Question 36Single 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
  1. A
    7, 6
  2. B
    5, 1
  3. C
    6, 3
  4. D
    8, 7
Question 37Single Answer
Combine terms: 12a + 26b  - 4b – 16a .
  1. A
    4a + 22b
  2. B
    -28a + 30b
  3. C
    -4a + 22b
  4. D
    28a + 30b
Question 38Single Answer
The average of first 50 natural numbers is ………… .
  1. A
    25.30
  2. B
    25.5
  3. C
    25.00
  4. D
    12.25
Question 39Single Answer
60 Times of 8 Equals to
  1. A
    480
  2. B
    300
  3. C
    250
  4. D
    400
Question 40Single 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 ?
  1. A
    A
  2. B
    A and B
  3. C
    A and C
  4. D
    A, B and C
Question 41Single 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
  1. A
    N
  2. B
    Y – X
  3. C
    X
  4. D
    Y
Question 42Single 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}
  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 
Question 43Single Answer
  1. A
  2. B
  3. C
  4. D
Question 44Single 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 ?
  1. A
    1 only
  2. B
    2 only
  3. C
    Both 1 and 2
  4. D
    Neither 1 nor 2
Question 45Single Answer
What is the Next Prime Number after 7 ?
  1. A
    13
  2. B
    12
  3. C
    14
  4. D
    11

Physics

Question 46Single Answer
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
Question 47Single Answer
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
Question 48Single 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
  1. A
    0.45 m    
  2. B
    0.15 m
  3. C
    0.30 m       
  4. D
    0.6 m
Question 49Single Answer
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
Question 50Single Answer
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
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