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Objective Questions

Latest MPESB Group 4 Exam Question (Objective Questions), MCQ in English

Subjects : Mathematics, Aptitude, General English, General Hindi, General Knowledge, Computer Knowledge

Question Bank MPESB Group 4 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

Aptitude

Question 18Single Answer
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
Question 19Single Answer
Which of the following numbers is irrational ?
  1. A
    √49
  2. B
    0.125
  3. C
    √2
  4. D
    22/7
Question 20Single Answer
356 x 936 – 356 x 836 = ?
  1. A
    35600  
  2. B
    34500
  3. C
    9630
  4. D
    93600
Question 21Single Answer
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
Question 22Single Answer
What is (3^{4} times 9^{2}) ?
  1. A
    36
  2. B
    38
  3. C
    310
  4. D
    96
     
Question 23Single Answer
If 34X-2 = 729, then find the value of X.
  1. A
    4     
  2. B
    3
  3. C
    2 
  4. D
    5
Question 24Single Answer
Convert 0.6 into fraction ?
  1. A
    3/5
  2. B
    2/3
  3. C
    4/5
Question 25Single Answer
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
Question 26Single Answer
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
Question 27Single Answer
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
Question 28Single Answer
Passage :
information given below and answer the question that follow.
The result of an exam is given below. Out of 1000 students who appeared
(i) 658 failed in Physics
(ii) 166 failed in Physics and Chemistry
(iii) 372 failed in Chemistry, 434 failed in Physics and Maths
(iv) 590 failed in Maths, 126 failed in Maths & Chemistry
Find the number of people who failed in (assuming that none is passed in all subjects.

We have the following equations:
a+ b + c + d + e + f + g = 1000
a + b + d + e = 658, b + d = 166
b + d + c + f = 372
d + e = 434 as in the figure.
d + e + f + g = 590, d + f = 126. Find the values
Chemistry but not in Physics.
  1. A
    318
  2. B
    198
  3. C
    213 
  4. D
    206
Question 29Single Answer
Passage :
Direction: information given below and answer the question that follow.
The result of an exam is given below. Out of 1000 students who appeared
(i) 658 failed in Physics
(ii) 166 failed in Physics and Chemistry
(iii) 372 failed in Chemistry, 434 failed in Physics and Maths
(iv) 590 failed in Maths, 126 failed in Maths & Chemistry
Find the number of people who failed in (assuming that none is passed in all subjects.

We have the following equations:
a+ b + c + d + e + f + g = 1000
a + b + d + e = 658, b + d = 166
b + d + c + f = 372
d + e = 434 as in the figure.
d + e + f + g = 590, d + f = 126. Find the values
Physics or Maths but not in Chemistry.
  1. A
    558   
  2. B
    718
  3. C
    628  
  4. D
    None of these
Question 30Single Answer
Passage :
For the next four question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
 (x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
What is the percentage of persons who read all the three papers ?
  1. A
    20%  
  2. B
    25%
  3. C
    30%  
  4. D
    40%
Question 31Single Answer
Passage :
For the next four : question that follow :
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
 (x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
What is the percentage of persons who read only two papers?
  1. A
    19%  
  2. B
    31%
  3. C
    44%
  4. D
    None of these
Question 32Single Answer
Passage :
For the next four : question that follow :
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
(x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
What is the percentage of persons who read only one paper ?
  1. A
    38% 
  2. B
    48%
  3. C
    51%  
  4. D
    None of these
Question 33Single Answer
Passage :
For the next four : question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
 (x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
What is the percentage of persons who read only A but neither B nor C ?
  1. A
    4%
  2. B
    3%
  3. C
    1%  
  4. D
    None of these
Question 34Single Answer
Passage :
For the next four : question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
 (x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25
If A and B are any two sets, then what is A ᴖ (A ᴗ B) equal to ?
  1. A
    Complement of A 
  2. B
    Complement of B
  3. C
    B   
  4. D
    A

General English

Question 35Single Answer
I go to Madurai by —– Vaigai Express
  1. A
    a
  2. B
    an
  3. C
    some
  4. D
    the
Question 36Single 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 37Single 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 38Single 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 39Single 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 40Single 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 41Single 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 42Single 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 43Single 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 44Single 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 45Single Answer
Passage :
Direction :  Question below has two blanks, each blank indicting that some thing has been omitted. Choose the word for each blank which best fits the meaning of the sentence as a whole.
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
Question 46Single Answer
Passage :
Direction : The five items in this section consists of a word or group of words followed by four words as (a), (b), (c) and (d). Select the word which is nearly opposite to the meaning of the original word or group of words and mark your response as (a), (b), (c) and (d), as the case may be, in your Answer Sheet.
Assets
  1. A
    liabilities
  2. B
    responsibilities
  3. C
    estates
  4. D
    profits
Question 47Single Answer
Passage :
Direction : In the question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it
Affidavit
  1. A
     Affirmation
  2. B
    Slander
  3. C
    Oath
  4. D
    Testimony
Question 48Single Answer
Passage :
Direction: In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it
Hollow
  1. A
    Alveolate
  2. B
    Cleft
  3. C
     Cavernous
  4. D
    Solid
Question 49Single Answer
Passage :
Directions: In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it
Cosset 
  1. A
    Ignoreb
  2. B
    Close
  3. C
    Caress
  4. D
    Fondle
Question 50Single Answer
Passage :
Directions: In the following question, out of the four alternatives, choose the word which is opposite in meaning to the given word and click the button corresponding to it
Ogle
  1. A
    Leer
  2. B
    Gaze
  3. C
    Ignore
  4. D
    Gawk
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