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Latest DPSE Goa Investigator Exam Question (Objective Questions), MCQ in English

Subjects : Reasoning, Logical Thinking, General Knowledge, General Mathematics & Basic Statistics

Question Bank DPSE Goa Investigator Exam - English
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Reasoning, Logical Thinking

Question 1Single 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 2Single 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 3Single 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 4Single 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 5Single 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 6Single 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 7Single 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 8Single 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 9Single 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 10Single 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

General Knowledge

Question 11Single Answer
When did Goa become a state ?
  1. A
    26 January 1986
  2. B
    30 May 1987
  3. C
    11 July 1992 
  4. D
    19 December 1997
Question 12Single Answer
Which state is to the north of Goa ?
  1. A
    Kerala
  2. B
    Tamil Nadu
  3. C
    Maharashtra
  4. D
    Andhra Pradesh
Question 13Single Answer
Which state is to the south of Goa ?
  1. A
    Karnataka
  2. B
    Gujarat
  3. C
    Jharkhand
  4. D
    Nagaland
Question 14Single Answer
Which sea is to the west of Goa ?
  1. A
    Caspian
  2. B
    Arabian
  3. C
    Dead
  4. D
    Black
Question 15Single Answer
Which is the capital of Goa ?
  1. A
    Panaji
  2. B
    Calangute
  3. C
    Pilar
  4. D
    Rachol
Question 16Single Answer
Which is the official language of Goa ?
  1. A
    Portuguese
  2. B
    Konkani
  3. C
    Basque
  4. D
    Galician               
Question 17Single Answer
Who replaced Francisco Sardinha as Goa’s chief minister in 2000 ?
  1. A
    Churchill Alemao
  2. B
    Wilfred De Souza
  3. C
    LuizinoFaleiro
  4. D
    Manohar Parrikar
Question 18Single Answer
Which chief minister of Goa later became speaker of Legislative Assembly ?
  1. A
    Dayanand Bandodkar
  2. B
    Pratapsinh Rane
  3. C
    Shashikala Kakodkar
  4. D
    Ravi Naik
Question 19Single Answer
Which article in Indian constitution is a special provision for Goa ?
  1. A
    300A
  2. B
    194
  3. C
    278
  4. D
    371I
Question 20Single Answer
What is the area of Goa ?
  1. A
    3,006 sq. mi.
  2. B
    2,124 sq. mi.
  3. C
    1,429 sq. mi.
  4. D
    3,504 sq. mi.
Question 21Single Answer
What is the theme of World Intellectual Property Day 2023, which is observed annually on April 26 for creating awareness of intellectual property and its safeguarding ?
  1. A
    IP and Youth: Innovating for a Better Future
  2. B
    IP and SMEs: Taking Your Ideas to Market
  3. C
    Innovate for a Green Future
  4. D
    Women and IP: Accelerating Innovation and Creativity
Question 22Single Answer
Which of the following countries will host the third in-person Quad Summit on May 24, 2023 ?
  1. A
    India
  2. B
    The USA
  3. C
    Japan
  4. D
    Australia
Question 23Single Answer
In April 2023, the State Bank of India (SBI) has opened its fourth exclusive branch for startups. In this context, which of the following Indian cities does not have SBI’s startup branch ?
  1. A
    Mumbai
  2. B
    Bengaluru
  3. C
    New Delhi
  4. D
    Chennai
Question 24Single Answer
In April 2023, the Y20 Pre Summit Meeting under G20 is being hosted by the Ministry of Youth and Sports Affairs in which Indian city from 26th to 28th April 2023 ?
  1. A
    Bengaluru
  2. B
    Leh
  3. C
    Kanpur
  4. D
    Srinagar
Question 25Single Answer
In April 2023, who among the following has been appointed as the Acting Chief Justice of the Kerala High Court with effect from April 24, 2023 ?
  1. A
    Biswanath Somadder
  2. B
    Sarasa Venkatanarayana Bhatti
  3. C
    S Manikumar
  4. D
    Akil Kureshi

General Mathematics & Basic Statistics

Question 26Single 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 27Single Answer
 
  1. A
  2. B
  3. C
  4. D
    None of these
Question 28Single 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 29Single 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 30Single 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 31Single 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 32Single 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 33Single 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 34Single 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 35Single 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 36Single 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 37Single 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 38Single 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 39Single 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 40Single 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 41Single Answer
If x and y are related by x – y – 10 = 0 and mode of x is known to be 23, then the mode of y is :
  1. A
    20
  2. B
    13
  3. C
    3
  4. D
    23
Question 42Single Answer
A man travels at a speed of 20 km/hr and then returns at a speed of 30 km/hr. His average speed of the whole journey is
  1. A
    25 km/hr
  2. B
    24.5 km/hr
  3. C
    24 km/hr
  4. D
    None
Question 43Single Answer
A student obtained the mean and standard deviation of 100 observations as 40 and 5.1 respectively. It was later discovered that he had wrongly copied down an observation as 50 instead of 40. The correct standard deviation is
  1. A
    5
  2. B
    6
  3. C
    3
  4. D
    7
Question 44Single Answer
For a moderately skewed distribution, quartile deviation and the standard deviation are related by
  1. A
  2. B
  3. C
  4. D
Question 45Single Answer
The median of the data 13, 8, 11, 6, 4, 15, 2, 18 is
  1. A
    5
  2. B
    8
  3. C
    11
  4. D
    9.5
Question 46Single Answer
The sum of the squares of deviations of a set of observations has the smallest value; when the deviations are taken from their
  1. A
    A.M.
  2. B
    H. M.
  3. C
    G. M.
  4. D
    None
Question 47Single Answer
If two samples of sizes 30 and 20 have means as 55 and 60 and variances as 16 and 25 respectively, then what would be the S.D. of the combined sample size 50 ?
  1. A
    5.33
  2. B
    5.17
  3. C
    5.06
  4. D
    5
Question 48Single Answer
If two variables x & y are related by 2x + 3y –7 = 0 and the mean and mean deviation about mean of x are 1 and 0.3 respectively, then the coefficient of mean deviation of y about mean is
  1. A
    –5
  2. B
    4
  3. C
    12
  4. D
    50
Question 49Single Answer
Which of the following result hold for a set of distinct positive observations ?
  1. A
    A.M > G.M > H.M
  2. B
    G.M. > A.M. > H.M
  3. C
    G.M > A.M > H.M
  4. D
    A.M > G.M > H.M
Question 50Single Answer
Measures of dispersion are called averages of the ____ order .
  1. A
    1st
  2. B
    2nd
  3. C
    3rd
  4. D
    None
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