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Objective Questions

Latest Naval Ship Repair Yard Apprentice Exam Question (Objective Questions), MCQ in English

Subjects : Mathematics, General Science, General Knowledge

Question Bank Naval Ship Repair Yard Apprentice Exam - English
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Mathematics

Question 1Single 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 2Single Answer
 
  1. A
  2. B
  3. C
  4. D
    None of these
Question 3Single 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 4Single 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 5Single 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 6Single 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 7Single 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 8Single 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 9Single 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 10Single 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 11Single 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 12Single 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 13Single 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 14Single 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 15Single 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 16Single 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 17Single Answer
Combine terms: 12a + 26b  - 4b – 16a .
  1. A
    4a + 22b
  2. B
    -28a + 30b
  3. C
    -4a + 22b
  4. D
    28a + 30b
Question 18Single 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 19Single Answer
60 Times of 8 Equals to
  1. A
    480
  2. B
    300
  3. C
    250
  4. D
    400
Question 20Single 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 21Single 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 22Single 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 23Single Answer
  1. A
  2. B
  3. C
  4. D
Question 24Single 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 25Single Answer
What is the Next Prime Number after 7 ?
  1. A
    13
  2. B
    12
  3. C
    14
  4. D
    11
Question 26Single Answer
If A and B are two given sets, then A (A B)C is equal to
  1. A
    A
  2. B
    B
  3. C
  4. D
Question 27Single Answer
121 Divided by 11 is
  1. A
    11
  2. B
    10
  3. C
    19
  4. D
    18
Question 28Single 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
  1. A
    600
  2. B
    700
  3. C
    800
  4. D
    900
Question 29Single Answer
  1. A
    {3, 4, 10}
  2. B
    {2, 8, 10}
  3. C
    {4, 5, 6}
  4. D
    {3, 5, 14}
Question 30Single 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
  1. A
  2. B
  3. C
  4. D
Question 31Single 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
  1. A
    16
  2. B
    12
  3. C
    8
  4. D
    4
Question 32Single Answer
  1. A
    A = B
  2. B
    B = C
  3. C
    A = C 
  4. D
    None of these
Question 33Single Answer
  1. A
    equal
  2. B
    disjoint
  3. C
    either equal or disjoint
  4. D
    none of the above
Question 34Single Answer
  1. A
    {–i, i}
  2. B
    {–1, 1}
  3. C
    {–1, 1, i, –i}
  4. D
    None of these
Question 35Single Answer
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. B
  3. C
  4. D
    None of the above 

General Science

Question 36Single Answer
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
Question 37Single Answer
Electron volt is a unit of
  1. A
    potential difference
  2. B
    charge
  3. C
    energy
  4. D
    capacity
Question 38Single Answer
Dimensions of impulse are
  1. A
    [MLT –1]
  2. B
    [MLT²]
  3. C
    [MT–2]
  4. D
    [ML–1T–3]
Question 39Single Answer
Potential is measured in
  1. A
    joule/coulomb
  2. B
    watt/coulomb
  3. C
    newton–second
  4. D
    None of these
Question 40Single Answer
One Nanometer is equal to
  1. A
    10–9m
  2. B
    10–6m
  3. C
    10–10m
  4. D
    10–3m
Question 41Single Answer
Maxwell is the unit of
  1. A
    magnetic susceptibility
  2. B
    intensity of Magnetisation
  3. C
    magnetic Flux
  4. D
    magnetic Permeability
Question 42Single Answer
Which of the following is derived physical quantity ?
  1. A
    Mass
  2. B
    Velocity
  3. C
    Length
  4. D
    Time
Question 43Single Answer
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
Question 44Single Answer
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]
Question 45Single Answer
The dimensions of Rydberg's constant are
  1. A
    [M0L–1T]
  2. B
    [MLT–1]
  3. C
    [M0 L–1T0]
  4. D
    [ML0 T2]
Question 46Single Answer
Which of the following is not a synthetic fibre:
  1. A
    Anygora
  2. B
    Rayon
  3. C
    Nylon
  4. D
    Polyster
Question 47Single Answer
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
Question 48Single Answer
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
Question 49Single Answer
Which fertilizer is assimilated directly by the plant ?
  1. A
    Super phosphate
  2. B
    Nitrolim
  3. C
    Muriate of Potash
  4. D
    Humus
Question 50Single Answer
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 
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