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Objective Questions

Latest RRC WR Junior Engineer Exam Question (Objective Questions), MCQ in English

Subjects : Mathematics, General Intelligence & Reasoning, General Awareness, General Science

Question Bank RRC WR Junior Engineer Exam Stage I - 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

General Intelligence & Reasoning

Question 31Single Answer
How many such pairs of letters are there in the word ‘CLEANLINESS’ each of the which has as many letters between them in the word as they have in the English alphabet, in the same sequence?
  1. A
    Two
  2. B
    Three
  3. C
    Five
  4. D
    Four
  5. E
    None of these
Question 32Single Answer
Team A has scored more goals than Team B
Team C has scored fewer goals than Team B
Team A has scored fewer goals than Team C .
If the first two statements are true, the third statement is
  1. A
    True
  2. B
    False
  3. C
    Uncertain
  4. D
    None
Question 33Single Answer
If it is possible to make only one meaningful word with the second, the third, the sixth and the eight letters of the word FRAGMENT using each only once, which of the following will be the third letter of that word ? If no such word can be formed, give ‘X’ as the answer and if more than one such word can be formed, give ‘Y’ as the answer.
  1. A
    A
  2. B
    E
  3. C
    T
  4. D
    X
  5. E
    Y
Question 34Single Answer
How many such letters are there in the word ORIENTAL each of which is as far away from the beginning of the word as when they are arranged alphabetically?
  1. A
    None            
  2. B
    One         
  3. C
    Two       
  4. D
    Three        
  5. E
    More than three
Question 35Single Answer
How many such pairs of letters in the word CREDIT each of which has as many letters between them in the word as in the English alphabet?
  1. A
    None
  2. B
    One
  3. C
    Two
  4. D
    Three
  5. E
    More than three
Question 36Single Answer
How many meaningful words can be made from the letters ‘LMEA’ using each letter only once in each word?
  1. A
    None
  2. B
    One
  3. C
    Two
  4. D
    Three
  5. E
    More than three
Question 37Single Answer
If it is possible to make only one meaningful word with the first, the second, the seventh and the eighth letters of the word TEMPORAL, which of the following will be the first letter of that word? If more than one such word can be made, give ‘Y’ as the answer and if no such word can be made, give ‘X’ as the answer.
  1. A
    T
  2. B
    L
  3. C
    E
  4. D
    Y
  5. E
    X
Question 38Single Answer
If the letters of the word HANDOVER are arranged alphabetically from left to right how many letters will remain at the same position?
  1. A
    None
  2. B
    One
  3. C
    Two
  4. D
    Three
  5. E
    More than three
Question 39Single Answer
How many such pairs of letters are there in the word EXCURSION, each of which has as many letters between them in the word as they have in the English alphabet?
  1. A
    None
  2. B
    One
  3. C
    Two
  4. D
    Three
  5. E
    More than three
Question 40Single Answer
If it is possible to make only one meaningful word with the first, the second, the third, the sixth and the eighth letters of the word DEVIATION first letter of that word is your answer? If more than one such word can be made formed your answer is ‘A’  and if no such word can be formed your answer is ‘B’.
  1. A
    V
  2. B
    T
  3. C
    E
  4. D
    A
  5. E
    B
Question 41Single Answer
If each alternate letter beginning with the first in the word WORKING is replaced by the next letter in the English alphabet and each of the remaining letters is replaced by the previous letter in the English alphabet, which of the following will be the fourth from the right and after the replacement ?
  1. A
    N
  2. B
    Q
  3. C
    J
  4. D
    M
  5. E
    None of these
Question 42Single Answer
How many pairs of letters are there in the word ‘SHIFTED’ each of which has as many letters between its two letters as there are between in the English alphabet?
  1. A
    None
  2. B
    One
  3. C
    Two
  4. D
    Three
  5. E
    None of these
Question 43Single Answer
Statement: Is common currency a necessary ingredient for Europe’s growth ?
Arguments :
I. Yes, A common currency will enable entire Europe to market itself as one .
II. No, Similar experiments by Latin America countries have not affected their economies .
  1. A
    The only argument I is strong
  2. B
    Only argument II is strong
  3. C
    Either I or II is strong
  4. D
    Neither I nor II is strong
Question 44Single Answer
If it is possible to make only one meaningful word with the first, the fifth, the sixth, the tenth and the eleventh letters of the word EXCEPTIONAL using each letter only once, first letter of that word is your answer. If no such word can be made formed your answer is ‘X’  and if more than one such word can be formed your answer is ‘Y’.
  1. A
    P
  2. B
    L
  3. C
    T
  4. D
    X
  5. E
    Y
Question 45Single Answer
How many meaningful English words can be formed with the letters RAE using each letter only once in each word?
  1. A
    None
  2. B
    One
  3. C
    Two
  4. D
    Three
  5. E
    More than three
Question 46Single Answer
Passage :
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z .
Which letter in this alphabet is the eighth letter to the right of the letter and which is tenth letter to the left of the last but one letter of the alphabet ?
  1. A
    X
  2. B
    W
  3. C
    I
  4. D
    H
Question 47Single Answer
Passage :
Direction : The following question is based on the five words given below:
AND FOR THE BIG SUM (The new words formed after performing the mentioned operations may or may not necessarily the meaningful English words.)
If the third alphabet of each of the words is changed to the next alphabet in the English alphabetical series, which of the following will form a meaningful English word?
  1. A
    SUM
  2. B
    BIG
  3. C
    Both BIG and THE
  4. D
    FOR
  5. E
    Both FOR and BIG
Question 48Single Answer
Passage :
Direction : The following question is based on the five words given below:
AND FOR THE BIG SUM (The new words formed after performing the mentioned operations may or may not necessarily the meaningful English words.)
If the given words are arranged in the order as they would appear in a dictionary from left to right, which of the following will be second from the right ?
  1. A
    AND
  2. B
    FOR
  3. C
    THE
  4. D
    BIG
  5. E
    SUM
Question 49Single Answer
Passage :
Direction: The following question is based on the five words given below:
AND FOR THE BIG SUM (The new words formed after performing the mentioned operations may or may not necessarily the meaningful English words.)
If second alphabet in each of the words is changed to next alphabet in the English alphabetical order, how many words having two vowels (same or different vowels) will be formed ?
  1. A
    None
  2. B
    One
  3. C
    Two
  4. D
    Three
  5. E
    Four
Question 50Single Answer
Passage :
Direction : The following question is based on the five words given below:
AND FOR THE BIG SUM (The new words formed after performing the mentioned operations may or may not necessarily the meaningful English words.)
How many letters are there in the English alphabetical series between the second letter of the word which is second from the right and the second letter of the word which is second from the left of the given words?
  1. A
    Two
  2. B
    Five
  3. C
    Six
  4. D
    Nine
  5. E
    Three
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